Answers
The distance between A and B is approximately 8.06 units.
In order to find the distance, d, of AB, we need to use the distance formula. The distance formula gives us the distance between two points in a coordinate plane. It is given as:$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ where (x1, y1) and (x2, y2) are the coordinates of the two points in question.
In this case, A and B are the two points for which we need to find the distance. Let's assume that the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2).
Then the distance formula becomes:
$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$
$$d = \sqrt{((8 + 4) - 2)^2 + ((5 - 1) - 3)^2}$$
$$d = \sqrt{(10 - 2)^2 + (4 - 3)^2}$$
$$d = \sqrt{(8)^2 + (1)^2}$$
$$d = \sqrt{64 + 1}$$
$$d \approx \sqrt{65}$$
$$d \approx 8.06$$
Therefore, the distance between A and B is approximately 8.06 units.
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Related Questions
A=P(1+r/n)^nt Find how long it takes for $1400 to double if it is invested at 7% interest compounded monthly. Use the formula A = P to solve the compound interest problem. TE The money will double in value in approximately years. (Do not round until the final answer. Then round to the nearest tenth as needed.)
Answers
It will take 10 years to double the amount.
Given that, the amount $1400 to double if it is invested at 7% interest compounded monthly, we need to calculate the time,
[tex]A = P(1+r/n)^{nt}[/tex]
[tex]2800 = 1400(1+0.0058)^{12t}[/tex]
[tex]2= (1.0058)^{12t[/tex]
㏒ 2 = 12t ㏒ (1.0058)
0.03 = 12t (0.0025)
12t = 120
t = 10
Hence, it will take 10 years to double the amount.
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6) Practice: Using Visual Cues Label each part of the diagram. Then use your labels to complete the sentences. Square Root Notation √6 1. The expression √ means "the of b". 2. The exponent 1 symbol (√) stands for the 3. The number or expression under the radical symbol is called the
Answers
1. The expression √b means "the square root of b".
2. The radical symbol (√) stands for the exponent 1/2.
3. The number or expression under the radical symbol is called the radicand.
What is radicand?A radicand is the number or expression underneath a radical symbol (√). It is the number or expression that is being operated on by the root. The square root of the radicand is the result of the operation.
The expression √6 represents the square root of 6. This is the value of x that, when multiplied with itself, results in 6.
The square root of 6 is equal to 2.44948974, which is the positive solution to the equation x² = 6.
The radical symbol (√) indicates that the expression is a root and the number or expression under the radical symbol is called the radicand, which is 6 in this case.
The exponent of the radical symbol is 1/2, which implies that the expression is a square root.
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Monique claims the surface area of the cylinder is about 1001.66 square feet explain Monique's error find the correct surface area.
Answers
Answer: Monique's error is likely due to rounding the surface area to two decimal places, which led to an inaccurate result.
The formula for the surface area of a cylinder is:
S = 2πr^2 + 2πrh
where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is approximately 3.14.
To find the correct surface area, we need to know the values of r and h. Without this information, we cannot calculate the exact surface area.
However, we can use Monique's estimate to estimate the values of r and h.
1001.66 = 2πr^2 + 2πrh
Dividing both sides by 2π, we get:
500.83 = r^2 + rh
We don't know the exact values of r and h, but we know that the surface area should be greater than 1001.66 square feet. Therefore, we can assume that the radius and height must be greater than a certain value.
For example, if we assume that the radius is at least 5 feet, we can solve for the minimum value of h:
500.83 = 5^2 + 5h
495.83 = 5h
h = 99.166
So if the radius is 5 feet and the height is 99.166 feet, the surface area would be:
S = 2π(5^2) + 2π(5)(99.166)
S = 1570.8 square feet
This is greater than Monique's estimate of 1001.66 square feet, indicating that her estimate was too low due to rounding.
Step-by-step explanation:
Solve for length of segment d.
= 4 cm
b = 12 cm
c = 6 cm
4. ? =
].d
Enter the segment length tha
belongs in the green box.
If two segments intersect inside
or outside a circle: ab = cd
Answers
Answer: Using the given information and the formula ab = cd, we can write:
d = (ab) / c
We are given b = 12 cm and c = 6 cm. To find ab, we can use the Pythagorean theorem:
a^2 + b^2 = c^2
where a is the unknown length we want to find. Substituting the given values, we get:
a^2 + 12^2 = 6^2
a^2 + 144 = 36
a^2 = -108 (which is not a possible solution)
This means that the given values do not form a valid triangle. Therefore, we cannot find the length of segment d using the given information.
Step-by-step explanation:
Keyana puts beads at the ends of her braids. On a single braid, she places 7 beads that are
each 1.03 centimeters long. Then she adds a final bead that is 0.9 centimeter long. The
expression below can be used to find the total length of the beads on one of Keyana's braids.
7 x 1.03 +0.9
What is the total length of the beads on one braid?
A 7.3 centimeters
B.8.11 centimeters
C.9.19 centimeters
D: 10.0 centimeters
Answers
The total length of the beads on one braid is 8.11 centimeters
What is the length?Keyana places 7 beads on one braid, and each bead is 1.03 centimeters long. So, the total length of these 7 beads would be 7 multiplied by 1.03, which is equal to 7.21 centimeters.
To find the total length of the beads on one braid, we need to evaluate the expression:
7 x 1.03 + 0.9
Multiplying 7 by 1.03 gives us:
7 x 1.03 = 7.21
Then, adding 0.9 gives us:
7.21 + 0.9 = 8.11
Therefore, the total length of the beads on one braid is 8.11 centimeters.
So, the correct answer is B.8.11 centimeters.
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for which data frequency is seasonality not a problem? group of answer choices monthly. weekly. annual. daily. quarterly.
Answers
Seasonality may be less of a problem for annual data frequency as there may be less variation due to the longer time interval.
What is annual data frequency?Annual data frequency refers to data that is collected and reported on an annual basis. This means that the data points in the dataset represent a full year's worth of data, with one data point for each year. Annual data is often used in economic indicators, such as gross domestic product (GDP) or unemployment rates, and can provide insights into long-term trends and changes over time.
What is GDP?GDP stands for Gross Domestic Product, which is a measure of the total value of goods and services produced within a country's borders during a specific time period, typically a year. It is used as an indicator of a country's economic health and growth. GDP is calculated by adding up the total spending on consumption, investment, government spending, and net exports (exports minus imports) during the period.
According to the given informationSeasonality may still be a problem for data frequencies of monthly, weekly, daily, and quarterly as certain patterns or fluctuations may occur within each of these time intervals. Seasonality may be less of a problem for annual data frequency as there may be less variation due to the longer time interval.
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what is the surface are of a cylender when the radius is 6in and the height is 9 in
Answers
Answer:
565.486677646 inches squared
Step-by-step explanation:
Let's recall the formula for the surface area of a cylinder:
[tex]A=2\pi rh+2\pi r^2[/tex]
Where r is the radius and h is the height.
We are given that the radius is 6 inches and the height is 9 inches.
Substitute the values and solve the equation, like so:
[tex]A=2\pi (6)(9)+2\pi (6)^2=\\A=2\pi (54) +2\pi(36)=\\A=108\pi +72\pi =\\A=180\pi[/tex]
Thus, in terms of pi, the surface area is equal to [tex]180\pi[/tex].
180 times pi is equal to approximately 565.486677646 inches squared.
please help!
If r=0.5 m, A = ???
(Use the r key.)
Answers
The area of a circle of radius of 0.5 meters is 0.785 square meters.
How to find the area of the circle?Remember that for a circle of radius r, the area is:
A = pi*r²
Where pi = 3.14
Here we know that r = 0.5m, then we can input that in the formula for the area that is above, we will get.
A = 3.14*(0.5m)²
A = 3.14*0.25 m²
A = 0.785 m²
That is the area of the circle.
Complete question: Let's say that r is the radius of a circle and A is its area, then: If r=0.5 m, A = ?
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Find the solution to the system of equations. Write the solution as an ordered pair. If there are no solutions, write 'no solutions'. If there are infinitely many, write 'infinitely many'.
y = −72
x + 11
7x + 2y = 20
Answers
The solution to the system of equations is (23, -72).
How to find system of equations ?The first equation is y = -72, which means that whatever the value of x is, the value of y will always be -72.
Substituting y = -72 in the second equation, we get:
7x + 2(-72) = 20
Simplifying this equation, we get:
7x - 144 = 20
Adding 144 to both sides, we get:
7x = 164
Dividing both sides by 7, we get:
x = 23.428571...
So the solution to the system of equations is the ordered pair (x, y) = (23.428571..., -72).
However, we usually express solutions as ordered pairs of integers, so we can round x to the nearest integer to get:
(x, y) = (23, -72)
Therefore, the solution to the system of equations is (23, -72).
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armer abe has a budget of $300 to build a rectangular pen to protect his rambunctious sheep. he decides that three sides of the pen will be constructed with chain-link fence, which costs only $1 per foot. farmer abe decides that the fourth side of the pen will be made with sturdier fence, which costs $5 per foot. find the dimensions of the largest area the pen can enclose.
Answers
Let x be the length of the pen and y be the width of the pen.
The total cost of the pen is given by:
Cost = 3x + 5y = 300
3x + 5y = 300
3x = 300 - 5y
x = (300 - 5y)/3
The area of the pen is given by:
Area = xy = (300 - 5y)/3 * y
which vaule of y makes the equation true 13 - y = 17 true?
pls help
Answers
Answer:
y = -4
Step-by-step explanation:
13 - y = 17
y = 13 - 17 = -4
Answer:
y = -4
Step-by-step explanation:
Alright so you shift the y to the other side:
13 = 17 + y
Now you shift the 17 to the other side,
y = 13 - 17 = -4
Hence, y = -4
Hope this helps and be sure to mark this as brainliest! :)
In a race, 14 out of the 25 swimmers finished in less than 47 minutes. What percent of swimmers finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.
Answers
We must first convert the given information into an equivalent fraction. The answer is 56%.
What is equivalent fraction?Equivalent fractions have the same value or represent the same portion of a whole even though they may have different numerators and denominators.
To do this, we must multiply both the numerator (14) and denominator (25) by the same number so that the denominator equals 100.
To do this, we must multiply both 14 and 25 by 4.
This gives us 14*4/25*4 = 56/100.
To convert this fraction to a percent, we can simply divide the numerator by the denominator and multiply the result by 100.
Therefore, 56/100 * 100 = 56%.
This result can also be found by setting up a proportion. We can set up the proportion as follows:
14/25 = x/100.
To solve for x, we must multiply both sides by 100. This gives us 14*100/25 = x.
Hence, x = 56. Therefore, 56% of swimmers finished the race in less than 47 minutes.
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Show that cosh2x−sinh2x=1 � � � ℎ 2 � − � � � ℎ 2 � = 1 Differentiate with respect to x � e3xx2+1 � 3 � � 2 + 1 y=secx � = sec � y=tanx2 � = tan � 2 Differentiate with respect to x � y=ln(x+sinx) � = ln ( � + sin � ) y=cosxx2 � = cos � � 2 Find dydx � � � � given siny+x2y3−cosx=2y sin � + � 2 � 3 − cos � = 2 � Differentiate from first principles y=cosx � = cos � x3+2x2+3x+4 � 3 + 2 � 2 + 3 � + 4 Find d2ydx2 � 2 � � � 2 Given 3x3−6x2+2x−1 3 � 3 − 6 � 2 + 2 � − 1
Answers
We can conclude that cosh2x−sinh2x=1.
What is equation?An equation is a mathematical statement that states that two expressions are equal. It is typically written as a comparison between two expressions and consists of an equal sign (=). Equations are used to solve mathematical problems, to understand the relationships between different quantities, and to describe the behavior of a physical system. In addition, equations are used to calculate various quantities, such as the area of a circle or the speed of an object.
To show that cosh2x−sinh2x=1, we can use the identities for cosh2x and sinh2x. The identity for cosh2x is cosh2x=2cosh2x−1 and the identity for sinh2x is sinh2x=2sinh2x−1.
Substituting these identities into the equation cosh2x−sinh2x=1 yields 2cosh2x−1−2sinh2x−1=1. Simplifying this equation yields cosh2x−sinh2x=1, as required. Thus, we can conclude that cosh2x−sinh2x=1.
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Simplifying this equation yields [tex]\cosh^2x-sinh^2x=1[/tex], as required. Thus, we can conclude that [tex]\cosh^2x-sinh^2x=1[/tex].
What is equation?An equation is a mathematical statement that states that two expressions are equal. It is typically written as a comparison between two expressions and consists of an equal sign (=). Equations are used to solve mathematical problems, to understand the relationships between different quantities, and to describe the behavior of a physical system. In addition, equations are used to calculate various quantities, such as the area of a circle or the speed of an object.
We will show that [tex]\cosh^2x-sinh^2x=1[/tex].
Let us consider the expression [tex]\cosh^2x-sinh^2x.[/tex]
Then, [tex]\cosh^2x=(e^2x+e^{-2}x)/2[/tex] and [tex]sinh^2x=(e^2x+e^{-2}x)/2[/tex]
Substituting, we get [tex]\cosh^2x -\sinh^2x=(e^2x+e^{-2}x)/2\ -(e^2x+e^{-2}x)/2[/tex]
Simplifying, we have [tex]\cosh^2x -\sinh^2x=e^2x+e^{-2}x-e^2x+e^{-2}x[/tex]
[tex]=2e^{-2}x\\\\=2(e^{-2}x)\\\\=2[/tex]
Hence, [tex]cosh^2x-sinh^2x=1[/tex]
Therefore, we have shown that [tex]cosh^2x-sinh^2x=1[/tex]
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The correct form of question is Show that cosh2x−sinh2x=1 .
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Answers
The two options that represent circles with diameter 12 units and center on the y-axis are:
x² + (y - 6)² = 36
x² + (y + 6)² = 36
What is circles diameter?The diameter of a circle is a straight line segment that passes through the center of the circle and connects two points on its circumference. It is twice the length of the circle's radius.
The equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis are:
x² + (y - 6)² = 36
x² + (y + 6)² = 36
Explanation:
For a circle with diameter 12 units, the radius is half of the diameter, which is 6 units.
Since the center of the circle lies on the y-axis, the x-coordinate of the center is 0.
The general equation for a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².
Using the given information, we substitute h = 0, k = ±6, and r = 6 to get the two equations:
(x - 0)² + (y - 6)² = 6² => x² + (y - 6)² = 36
(x - 0)² + (y + 6)² = 6² => x² + (y + 6)² = 36
Therefore, the two options that represent circles with diameter 12 units and center on the y-axis are:
x² + (y - 6)² = 36
x² + (y + 6)² = 36
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Complex numbers [tex]z[/tex] and [tex]w[/tex] satisfy [tex]|z|=|w|=1, |z+w|=\sqrt{2}[/tex].
What is the minimum value of [tex]P = |w-\frac{4}{z}+2(1+\frac{w}{z})i|[/tex]?
Answers
Okay, here are the steps to find the minimum value of P:
1) Given: |z|=|w|=1 (z and w are complex numbers with unit modulus)
|z+w|=sqrt(2)
Find z and w such that these conditions are satisfied.
Possible solutions:
z = 1, w = i (or vice versa)
z = i, w = 1 (or vice versa)
2) Substitute into P = |w-\frac{4}{z}+2(1+\frac{w}{z})i|
For the cases:
z = 1, w = i: P = |-1-4+2(1+i)i| = |-5+2i| = sqrt(25+4) = 5
z = i, w = 1: P = |1-\frac{4}{i}+2(1+\frac{1}{i})i| = |-3+2i| = sqrt(9+4) = 5
3) The minimum value of P is 5.
So in summary, the minimum value of
P = |w-\frac{4}{z}+2(1+\frac{w}{z})i|
is 5.
Let me know if you have any other questions!
brainliest+100 points
Answers
2x + 2y = 4xy is wrong
2x + 2y = 2(x+y) is correct
b.3x+4= 7x wrong
c4x²+5x = 9x² wrong
23x²+3x²+4x = 6x² + 4x = 2x(3x + 2)
3sorry I don't understand this one.....
4-4(3x-5) = -12x + 20
5 120 12 10 4 3 5 26Answer:
120
12 10
4 2 5 2
2 2
I will be given brainliest!!!!
Answers
Answer:2/3
Step-by-step explanation:
its the only possible answer because it needs to have a scale factor below one as A'B'C'D' is smaller than ABCD
Answer: 2/3
Step-by-step explanation:
The corresponding side of AD is A'D'.
AD = 30
A'D' = 20
Scale factor = 2/3 because AD * 2/3 = A'D'
If I'm wrong, please tell me.
a kite flying in the air has a 94- string attached to it, and the string is pulled taut. the angle of elevation of the kite is . find the height of the kite. round your answer to the nearest tenth.
Answers
The height of the kite is approximately 68.4 ft.
To solve the problem, we can use trigonometry. We know that the string is the hypotenuse of a right triangle, with the height of the kite as one of the legs. The angle of elevation, which is the angle between the string and the ground, is also given. We can use the tangent function to find the height of the kite:
tan(46°) = height / 94
Solving for height, we get:
height = 94 * tan(46°)
Using a calculator, we get:
height ≈ 68.4 ft
Therefore, the height of the kite is approximately 68.4 ft.
We use the given angle of elevation and the length of the string to set up a right triangle with the height of the kite as one of the legs. Then, we use the tangent function to relate the angle to the height of the kite. Finally, we solve for the height using a calculator and round to the nearest tenth as requested.
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Complete Question:
A kite flying in the air has a 94-ft string attached to it, and the string is pulled taut. The angle of elevation of the kite is 46 °. Find the height of the kite. Round your answer to the nearest tenth.
which expressions are equivalent to 8 13 ?
Answers
The next four equivalent fractions of 8/13 are:
16/2624/3932/5240/65What are some equivalent fractions of 8/13?Equivalent fractions are fractions that represent the same value but have different numerator and denominator. To find equivalent fractions of 8/13, we can multiply both the numerator and the denominator by the same non-zero integer.
In this case, we multiplied the numerator and denominator by 2, 3, 4, and 5, respectively, to obtain the next four equivalent fractions: 16/26, 24/39, 32/52, and 40/65. These fractions have different numerators and denominators, but they are equivalent to 8/13 as they represent the same value or amount.
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A helicopter hovering above a command post shines a spotlight on an object on the ground 250 feet away from the command post as shown in the diagram how far is the object from the helicopter to the nearest foot
Answers
The distance of the object from the helicopter is 698 ft.
What is distance?Distance is the length between two points.
To calculate how far the object is above the helicopter, we use the formula below.
Formula:
Sin∅ = O/H..................... Equation 1Where:
∅ = AngleO = OppositeH = Hypotenus = Distance of the object from the HelicopterFrom the question,
Given:
O = 250 ft∅ = 21°Substitute these values into equation 1 and solve for H
H = 250/Sin21°H = 697.61 ftH ≈ 698 ftHence, the distance is 698 ft.
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A triangle has two legs measuring 21 cm and 20 cm. Which of the following leg measurement will make a right triangle?
Answers
The leg measurement will make a right triangle is 21 cm.
What is hypotenous?The longest side of a right-angled triangle, i.e. the side opposite the right angle, is called the hypotenuse in geometry.
Pythagorean theorem :
If p be the length of the hypotenuse of a right-angled triangle, q and r be the lengths of the other two sides, then
p² = q² + r²
The lengths of the other two sides of the given right-angled triangle are 20 cm and 21 cm. Put these values in the above theorem to get the desired result.
Now, p² = (20)² + (21)²
= 400 + 441 = 841
i.e. p = √(841) = 29
Therefore the length of the hypotenuse is 29 cm. The right angle traingle is 21 cm.
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The volume of a cylinder is given by the formula v - pi^h, where r is the radius of the cylinder and h is the height.
Which expression represents the volume of this cylinder?
Answers
The expression that represents the volume of the cylinder is:
V = π[tex]r^{2}[/tex]h
What is cylinder?
A cylinder is a three-dimensional geometric shape that consists of two parallel circular bases of the same size and shape, and a curved lateral surface connecting the bases. The cylinder can be thought of as a tube or a can. The lateral surface of the cylinder is formed by "unrolling" a rectangular shape along the circumference of the base.
There appears to be a typographical error in the given formula for the volume of a cylinder. The correct formula is:
V = π[tex]r^{2}[/tex]h
where V is the volume of the cylinder, r is the radius of the circular base, and h is the height of the cylinder.
Using this formula, the expression that represents the volume of the cylinder is:
V = π[tex]r^{2}[/tex]h
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Peter needs to borrow $10,000 to repair his roof. He will take out a 317-loan on April 15th at 4% interest from the bank. He will make a payment of $3,500 on October 12th and a payment of $2,500 on January 11th.
a) What is the due date of the loan?
b) Calculate the interest due on October 12th and the balance of the loan after the October 12th payment.
c) Calculate the interest due on January 11th and the balance of the loan after the January 11th pa payment.
d) Calculate the final payment (interest + principal) Peter must pay on the due date.
Please only serious answers
Answers
Answer:
A. February 26th
B. $3,500 - Balance ≈ $6,697.26
C. $2,500 - Balance ≈ $4,263.46
D. $4,284.81
Step-by-step explanation:
a) What is the due date of the loan?
The loan term is given as 317 days, and the loan starts on April 15th. To find the due date, we will add 317 days to April 15th.
April 15th + 317 days = April 15th + (365 days - 48 days) = April 15th + 1 year - 48 days
Subtracting 48 days from April 15th, we get:
Due date = February 26th (of the following year)
b) Calculate the interest due on October 12th and the balance of the loan after the October 12th payment.
First, we need to calculate the number of days between April 15th and October 12th:
April (15 days) + May (31 days) + June (30 days) + July (31 days) + August (31 days) + September (30 days) + October (12 days) = 180 days
Now, we will calculate the interest for 180 days:
Interest = Principal × Interest Rate × (Days Passed / 365)
Interest = $10,000 × 0.04 × (180 / 365)
Interest ≈ $197.26
Peter will make a payment of $3,500 on October 12th. So, we need to find the balance of the loan after this payment:
Balance = Principal + Interest - Payment
Balance = $10,000 + $197.26 - $3,500
Balance ≈ $6,697.26
c) Calculate the interest due on January 11th and the balance of the loan after the January 11th payment.
First, we need to calculate the number of days between October 12th and January 11th:
October (19 days) + November (30 days) + December (31 days) + January (11 days) = 91 days
Now, we will calculate the interest for 91 days:
Interest = Principal × Interest Rate × (Days Passed / 365)
Interest = $6,697.26 × 0.04 × (91 / 365)
Interest ≈ $66.20
Peter will make a payment of $2,500 on January 11th. So, we need to find the balance of the loan after this payment:
Balance = Principal + Interest - Payment
Balance = $6,697.26 + $66.20 - $2,500
Balance ≈ $4,263.46
d) Calculate the final payment (interest + principal) Peter must pay on the due date.
First, we need to calculate the number of days between January 11th and February 26th:
January (20 days) + February (26 days) = 46 days
Now, we will calculate the interest for 46 days:
Interest = Principal × Interest Rate × (Days Passed / 365)
Interest = $4,263.46 × 0.04 × (46 / 365)
Interest ≈ $21.35
Finally, we will calculate the final payment Peter must pay on the due date:
Final payment = Principal + Interest
Final payment = $4,263.46 + $21.35
Final payment ≈ $4,284.81
fuel efficiency of manual and automatic cars, part i. each year the us environmental protection agency (epa)releases fuel economy data on cars manufactured in that year. below are summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions. do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? assume that conditions for inference are satisfied.
Answers
Given the above prompt on hypothesis testing, we can state that specifically, cars with manual transmissions have a significantly higher average city mileage than those with automatic transmissions.
What is the explanation for the above response?
To determine if there is strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage, we can conduct a two-sample t-test assuming unequal variances. The null hypothesis is that there is no difference in the average city mileage between the two types of transmissions, and the alternative hypothesis is that there is a difference.
The t-test statistic is calculated as follows:
t = (x1 - x2) / sqrt((s1^2/n1) + (s2^2/n2))
where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
Plugging in the values from the given statistics, we get:
t = (16.12 - 19.85) / sqrt((3.85^2/26) + (4.51^2/26))
t = -3.31
Using a significance level of 0.05 and 50 degrees of freedom (approximated by n1+n2-2), the critical t-value is ±2.01.
Since the calculated t-value (-3.31) is less than the critical t-value, we can reject the null hypothesis and conclude that there is strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage.
Specifically, cars with manual transmissions have a significantly higher average city mileage than those with automatic transmissions.
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Full Question:
Although part of your question is missing, you might be referring to this full question: See attached image.
Solve x^2 + 6x + 9 = 0 by graphing. Please enter the number part of your answer only.
If your answer has two numbers, enter them like this: x = 6 and -1 should be entered as "6, -1" (no quotes).
Answers
Answer:
-3
Step-by-step explanation:
You want the graphical solution to x² +6x +9 = 0.
GraphThe graph of the expression on the left shows it has a value of 0 when x = -3.
The solution is x = -3.
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Additional comment
A graphing calculator is very helpful when you want a graphical solution.
If you want to graph this by hand, you can rewrite it as ...
(x +3)² = 0
The graph of (x +3)² is a graph of the parent function y = x² after it has been shifted left 3 units. The graph will go through points (-5, 4), (-4, 1), (-3, 0), (-2, 1), (-1, 4). Of course the point at (-3, 0) indicates the solution is x=-3.
PLEASE ANSWER ASAP
1. How many atoms are present in 8.500 mole of chlorine atoms?
2. Determine the mass (g) of 15.50 mole of oxygen.
3. Determine the number of moles of helium in 1.953 x 108 g of helium.
4. Calculate the number of atoms in 147.82 g of sulfur.
5. Determine the molar mass of Co.
6. Determine the formula mass of Ca3(PO4)2.
IT WOULD BE HELPFUL
Answers
The number of atoms in 8.500 moles of chlorine atoms can be calculated using Avogadro's number, which is approximately 6.022 × 10²³ atoms/mole.
So, the number of atoms in 8.500 moles of chlorine atoms would be:
8.500 moles × 6.022 × 10²³ atoms/mole = 5.12 × 10²⁴ atoms of chlorine.
The molar mass of oxygen is approximately 16.00 g/mol. Therefore, the mass of 15.50 moles of oxygen would be:
15.50 moles × 16.00 g/mol = 248 g of oxygen.
The molar mass of helium is approximately 4.00 g/mol. Therefore, the number of moles of helium in 1.953 x 10^8 g of helium would be:
1.953 x 10^8 g / 4.00 g/mol = 4.88 x 10⁷ moles of helium.
The molar mass of sulfur is approximately 32.06 g/mol. Therefore, the number of moles of sulfur in 147.82 g of sulfur would be:
147.82 g / 32.06 g/mol ≈ 4.61 moles of sulfur.
The molar mass of cobalt (Co) is approximately 58.93 g/mol.
The formula mass of Ca₃(PO₄)₂ can be calculated by adding the molar masses of all the individual atoms in the formula.
The molar mass of calcium (Ca) is approximately 40.08 g/mol, the molar mass of phosphorus (P) is approximately 30.97 g/mol, and the molar mass of oxygen (O) is approximately 16.00 g/mol.
Therefore, the formula mass of Ca₃(PO₄)₂ would be:
3 × 40.08 g/mol (for Ca) + 2 × (2 × 30.97 g/mol + 4 × 16.00 g/mol) (for P and O) = 310.17 g/mol.
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Hello solve this, what is 9 x 5/7
Answers
Answer: 6 3/7
Step-by-step explanation:
9/1 x 5/7
If we multiply the numerators and denominators, we get 45/7 or 6 3/7 as a mixed number.
Answer:
[tex]\frac{45}{7}[/tex] or 6.4285
Step-by-step explanation:
First, multiply 9 and 5, which gives you 45.
9(5)=45
Then, divide 45 by 7.
45/7=6.4285
That gives you [tex]\frac{45}{7}[/tex] or 6.4285
Hope this helps!
Solve for x please
Choices are...
10
5
25
90
Answers
Answer:
x = 10
Step-by-step explanation:
Angle form is = 90°
therefore
5x + 25 + x + 5 = 90
6x + 30 = 90
6x = 90-30
6x = 60
6x/6 = 60/6
x = 10
Lin plans to swim 12 laps in the pool. She has swum 9.75 laps so far.
How many laps does she have left to swim? Use y
for the number of laps that Lin has left to swim.
Answers
Lin plans to swim 12 laps and has already swum 9.75 laps, so the number of laps she has left to swim can be found by subtracting 9.75 from 12:
y = 12 - 9.75
Simplifying the right side:
y = 2.25
Therefore, Lin has 2.25 laps left to swim.
From a horizontal distance of 80.0 m, the angle to the top of a flagpole is 18°. Calculate the height of the flagpole to the nearest tenth of a meter.
1. 24.7 meters
2. 76.1 meters
3. 26.0 meters
4. 25.3 meters
Answers
Answer:
The figure is omitted--please sketch it to confirm my answer.
Set your calculator to degree mode.
Let h be the height of the flagpole.
[tex] \tan(18) = \frac{h}{80} [/tex]
[tex]h = 80 \tan(18) = 25.994[/tex]
The height of the flagpole is approximately 26.0 meters. #3 is correct.