Answer:
20
Step-by-step explanation:
5(-2)+30 = (-10)+30 = 20
Which expression is equal to (5−2i)−(1+3i)
Answer:
4-5i
Step-by-step explanation:
Answer:
4-5i
Step-by-step explanation:
(5-2i)-(1+3i)
5-2i-1-3i
5-1-2i-3i
4-5i
Describe the end behavior of the graph f(x) using limits.
Answer:
um
Step-by-step explanation:
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Option B is the correct answer.
We have,
From the graph,
As the x-value increases, the function y-values goes to -∞.
As the x-value decreases, the function y-values goes to -∞.
Now,
f(x) is the y-value.
The end behavior of the graph f(x) using limits can be represented as,
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Thus,
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
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The sum of two consecutive numbers is 63. Find the two numbers.
Answer:
the two numbers are 31 and 32.
Step-by-step explanation:
x+(x+1)=63
2x+1=63
2x=62
x=31
The answers are 31 and 32
The sum of two consecutive numbers is 63. Consecutive numbers are numbers that are in a row (e.g. 1, 2, and 3 are consecutive integers). This means we can represent the two consecutive numbers with x and x+1. Plugging the numbers back into the equation, you get
x + x+1 = 63
Simpifying, you get
2x+1 = 63
Now, you just need to isolate x. To do this, you should subtract 1 from both sides, making the equation.
2x=62
Lastly, you need to divide both sides by 2, making making the equation
x=31
The two integers are x and x+1, and when you plug 31 into that, the numbers are 31 and 32.
HELP , ILL GIVE BRAINLIEST. Answer 5-8 please .
Answer:
#5. 17, #6. 22, #7. 14, and #8. 13
Step-by-step explanation:
There are 4 quarters in 1 dollar the total number of dollars is a function of the number of quarters does this situation represent a linear or nonlinear function? Explain why
Answer:
sample answer: If you make a table of values, you can see that 4 quarters equal 1 dollar and 8 quarters equal 2 dollars. If you graph the data, you will see a straight line. Therefore, this situation represents a linear function with a constant rate of change of 1/4
Step-by-step explanation:
The situation is a representation of the linear function.
What is meant by linear function?A linear function is one that, when graphed, produces a straight line. Thus, non-linear functions are any non-linear functions. Although graphing is the quickest way to determine whether a function is linear or non-linear, we can also determine linearity from its input/output table or equation. A straight line on the coordinate plane is represented by a linear function. For example, y = 3x - 2 denotes a straight line on a coordinate plane and, as such, a linear function.Given that,
One dollar is divided into four quarters.
The total number of dollars is a function of the number of quarters.
Based on the information presented above, we can conclude that when the dollar represents y value and the quarter represents x value
As a result, the slope should be 1/4.
y = 1/4x should be the linear function.
Hence, As a result, we can conclude that the situation is a linear function.
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what is the most amount of change you can have in your pocket, but still not be able to give someone exact change for $1.00?
Hint: it is over $1.00 worth of change.
Answer: If you have three quarters, four dimes, and four pennies, you have $1.19, the largest amount of money in coins you could have without being able to make change for a dollar
Lesson Summary - Rate problems, including constant rate problems, always count or measure something happening per unit of time. The time is always in the denominator. - Sometimes the units of time in the denominators of the rates being compared are not the same. One must be converted to the other before calculating the unit rate of each. -------------------------------------------------------------------------------------- Who walks at a faster rate: someone who walks 60 feet in 10 seconds or someone who takes 5 seconds to walk 25 feet? Review the lesson summary before answering!
Answer:
5 seconds to walk 25 feet
Step-by-step explanation:
60/10=6
25/5=5
Find the distance (8,-7) (-4,-2)
Distance = 13 units
Point A: (8, -7)
Point B: (-4, -2)
[tex]\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }[/tex]
[tex]\sqrt{(12)^{2} + (-5)^{2} }[/tex]
[tex]\sqrt{144 + 25 }[/tex]
[tex]\sqrt{169}[/tex]
[tex]13[/tex]
Answer:
[tex]\boxed {d = 13}[/tex]
Step-by-step explanation:
Use the Distance Formula to help you find the distance between the two following points:
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the two following onto the formula:
[tex](x_{1}, y_{1}) = (8, -7)[/tex]
[tex](x_{2}, y_{2}) = (-4, -2)[/tex]
[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]
-Solve for the distance:
[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]
[tex]d = \sqrt{(-12)^{2} + 5^{2}}[/tex]
[tex]d = \sqrt{144 + 25}[/tex]
[tex]d = \sqrt{169}[/tex]
[tex]\boxed {d = 13}[/tex]
Therefore, the distance is [tex]13[/tex].
What goes in the blank?
A always
B sometimes
C never
D rarely
Answer:
B
Step-by-step explanation:
Which statement is a correct interpretation of the vertical line test?
If only one vertical lire intersects the graph at exactly one point, the graph represents a function
Off only one vertical lire intersects the graph at exactly one point, the graph does not represent a function
• If any vertical line can intersect the graph at more than one point, the graph represents a function
If any vertical line can intersect the graph at more than one point, the graph does not represent a function
✓ x
the
Answer:
A and D
because those are the correct ones :)
Answer:
D. If any vertical line can intersect the graph at more than one point, the graph does not represent a function.
Explanation:
I took the quiz and got it right.
Hope this Helps!
The frequency vibrations for a certain guitar string When is blood can be determined by the equation below, Where F is the number of vibration per second and T is measured in pounds.If the frequency of the vibrations is 600 vibrations per second, How many pounds of tantrums was used to plug the string? F = 200sqrt(T)
Answer:
9 poundsStep-by-step explanation:
Given the frequency vibrations for a certain guitar string modeled by the equation
F = 200√T where:
T is amount of tantrums in pounds
If the frequency of the vibrations is 600 vibrations per second, the amount of pounds in tantrums will be gotten by substituting F = 600 into the equation and calculating T as shown:
600 = 200√T
Divide both sides by 200
600/200 = 200√T /200
3 = √T
Square both sides
3² = (√T)²
9 = T
T = 9
Hence 9 pounds of tantrum was used to plug the string
Warm-Up
Active
Finding the Slope of a Line
What is the slope of a line that contains the points (1
9) and (4, 3)?
10
The slope of the line is
a.5
b. -2
c. 6
d. -3
The answer is b.) -2
Answer:
slope would be -2
Step-by-step explanation:
slope formula
[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]
We know: (1, 9) and (4, 3)
plug in the numbers
[tex] \frac{9 - 3}{1 - 4} [/tex]
subtract
[tex] \frac{6}{ - 3} [/tex]
divide
[tex] - 2[/tex]
Tadaaaa
Wht Is a fraction equivalent to 0.4 repeating its self
4/9 is the answer
hope this helps
MAX POINTS ASAP MULTIPLE CHOICE WILL MARK BRAINLIEST ONLY CORRECT ANSWER
A conjecture and the two-column proof used to prove the conjecture are shown.
Given: the measure of angle C B D equals 90 degrees. Prove: triangle A B C is a right triangle. Ray B D extends down and perpendicular from point B on segment B C.
Drag an expression or phrase to each box to complete the proof.
Statement Reason
1. m∠CBD=90° Given
2. ∠ABC and ∠CBD are supplementary. Response area
3. Response area Definition of supplementary
4. m∠ABC+90°=180° Response area
5. Response area Subtraction Property of Equality
6. ∠ABC is a right angle. Definition of right angle
7. △ABC is a right triangle. Definition of right triangle
Answer:
I took the test
Step-by-step explanation: Linear pair postulate
m<abc + m<cbd =180°
subtraction property of equality
m<abc -90°
All expression and phrase are filled below.
Here,
We have to filled all expression and phrase.
What is right angled triangle?
A right-angled triangle is a triangle, which has one of its interior angles equal to 90 degree.
Now,
Given that;
⇒ m∠CBD = 90 degree ….(i)
We have to prove triangle ABC is right angled triangle.
We can see that the line extends down and perpendicular to the line segment BC at point B.
We can also see that ∠ABC and ∠CBD are supplementary angle.
Hence, We prove as;
Statement Reason
1) m∠CBD = 90 degree ( Given )
2) ∠ABC and ∠CBD are supplementary. ( Because ABD is a line and
∠ABC and ∠CBD are linear
pair)
3). ∠ABC+∠CBD = 180 degree ( Definition of supplementary)
4) ∠ABC+ 90 = 180 degree ( m∠CBD = 90 degree )
5) ∠ABC + 90 - 90 = 180° - 90° ( subtraction property of equality)
∠ABC = 180° – 90° (from (i))
∠ABC = 90 degree
6) ∠ABC is a right angle. ( Definition of right angle)
7) Δ ABC is a right triangle. ( Definition of right triangle)
Therefore, according to definition of right angled triangle,
The triangle ABC is a right angled triangle.
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2 1/2 divided by 5/2 = ?
Answer:
I always do keep change flip when dividing fractions. First change the mixed number into an improper fraction. So keep the first fraction the same, change the operation, and flip the second fraction. The equation should be 5/2 x 2/5. This gets you 10/10. And that simplified is 1.
Step-by-step explanation:
help please thank you
Mary did the following problem.
57 - 6^2 + (10 + 2)
57 - 6^2 + 12
57 - 36 + 12
57 - 48
9
Which of the statements is true?
It is wrong because 6^2 is 12.
It is correct.
It is wrong because the subtraction should have been done before the addition.
It is wrong because 57 - 48 is 11
Answer:
its C
Step-by-step explanation:
i got this right on my quiz
Answer: it's wrong because subtraction comes before addition
Step-by-step explanation:
in the order of operations, there is PEMDAS
parentheses
exponents
multiplication
addition
subtraction
from multiplication to subtraction it does not matter which one you do first as long as you solve left to right so...
57-36+48
moving left to right you would do 57-36 first
What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2
Answer: y=-1/2x-4
Step-by-step explanation:
If you use point slope formula you get
y+2=-1/2(x+4)
simplify that in y=mx+b and you get
y=-1/2x-4
Mr green Drove 100 mies in 2 hours he continues to drive the same speed how long will mr green take to drive 400 more miles
Answer:
It would take him 8 hours
Since every 50 miles takes 1 hour
━━━━━━━☆☆━━━━━━━
▹ Answer
8 Hours
▹ Step-by-Step Explanation
First, find the unit rate:
100 miles ÷ 2 hours = 50 mph
Now, we need to find the time it takes to drive 400 miles so we will divide:
400 miles ÷ 50 mph = 8 hours
If you are looking for total hours, you would add:
2 hours + 8 hours = 10 hours
If you are looking for how long it'll take to drive the 400 miles, it would just remain 8.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Would you use an equal sign or an inequality symbol in the following situation? Explain how to decide which sign to use
In many states you must be at least 16 years old to obtain a driver's license?
Answer:
You would use an inequality sign because the statement says at least, meaning you have to be above or exactly the age given.
Step-by-step explanation:
You would use an equal sign if it says you must be that exact age, meaning anyone above and under the age of 16 are not allowed to obtain their drivers license.
The Hu Family goes out for lunch, and the price of the meal is $53. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
i think its 64.66
Step-by-step explanation:
07x53=3.71
0.15x53=7.95+53=60.95+3.71=64.66
Answer:
$64.66
Step-by-step explanation:
find the amount of tax 53 x .07 = 3.71
find the amount of the tip 53 x .15 = 7.95
53 + 3.71 + 7.95 = 64.66
Which expression is equal to √520−√345?
11√5
-√5
−11√5
√5
The value of the expression when simplified is equal to √5. The correct option is D.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given radical expression can be simplified as shown below,
5√20 - 3√45
Write the under root values in the factored form,
= 5√(4×5) - 3√(9×5)
Simply the function that can be simplified,
= 5(√4 × √5) - 3(√9 × √5)
= 5(2√5) - 3(3√5)
= 10√5 - 9√5
Take √5 as the common term from the two of the given terms,
= (10 - 9) √5
= 1 √5
= √5
Hence, the value of the expression when simplified is equal to √5.
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Hans is using frequent flier miles to fly to a location 750 miles away, but the airline he is using still charges $20.19 for fees and taxes and $0.15 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.15x + $20.19 How much did Hans pay for his trip?
Answer:
Cost of the trip = $132.69
Step-by-step explanation:
Given:
Total distance = 750 mile
Fixed charge = $20.19
Variable charges = $0.15 per mile
Find:
Cost of the trip
Computation:
Y = $0.15x + $20.19
Y = $0.15(750) + $20.19
Y = $132.69
Cost of the trip = $132.69
What would i^7 be simplified to?
Answer:
-I
Step-by-step explanation:
Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P
charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must
be purchased in order for the total cost at Carnival M and Carnival P to be the same?
The ratio to boys to girls is 3:4.
If there is 12 boys how many girls are there?
Answer:
16
Step-by-step explanation:
3:4 to 12:?
3*4=12
so 4*4=16
12:16
0.00054 - (3.2 x 10-4)
in scientific notation and standard notation
Answer:
in scientific notation it is − 32x+4.00054
Step-by-step explanation:
thats all i know
find the square root of 144
Answer:
12
Step-by-step explanation:
Hi there !
144 | 2
72 | 2
36 | 2
18 | 2
9 | 3
3 | 3
1
144 = 2⁴ × 3²
√144 = √2⁴×3² = 2²×3 = 4×3 = 12
Good luck !
Sergio wants to go the Empire State Building. The shortest path from the airport to the Empire State Building is about 14.4 miles long. What will be the cost of using Uber rush ?
Answer:
$5.76 should be the answer as 14.4 divided by 2.50 gets the answer.
Step-by-step explanation:
Example The double number line shows the amount of clay Jamal uses to make different numbers of identical bowls. Is there a proportional relationship between the amount of clay and the number of bowls? If so, what is the constant of proportionality for pounds of clay per bowl? Clay (pounds) 0 H 2 233 + + + 5 Bowls 0 1 2 3 4 6 All of the ratios for clay: bowls are equivalent. So, there is a proportional relationship. All of the ratios have the same rate, į pound of clay per bowl. The constant of proportionality is 3 1 a. Write an equation representing the pounds of clay, c, that Jamal from the Example needs to make b bowls. V b. Explain how to find the amount of clay Jamal needs to make 8 bowls.
Answer:C: 2/3 B
Step-by-step explanation:
The answers will be ;
a) The required equation will be c = [tex]\frac{2}{3}[/tex] b
b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.
It is given that the double number line shows the amount of clay Jamal uses to make different numbers of identical bowls.
We have to solve the subparts of the question to get the values.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.
As per the question ;
The clay needed per bowl = [tex]\frac{2}{3}[/tex] pounds
a)
The equation for clay (c) to make b number of bowls will be ;
c = [tex]\frac{2}{3}[/tex] × b
or
c = [tex]\frac{2}{3}[/tex] b
b)
If there are 8 number of bowls
i.e., b = 8
Then ; amount of clay Jamal needs will be ;
c = [tex]\frac{2}{3}[/tex] × 8
c = [tex]\frac{16}{3}[/tex] pounds
or
c = [tex]5\frac{1}{3}[/tex] pounds
Thus , the answers will be ;
a) The required equation will be c = [tex]\frac{2}{3}[/tex] b
b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.
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Cómo se escribe el doble de un número en lenguaje algebraico