Answer:
D. a║b, because if two lines are perpendicular to the same line, then they are parallel to each other.
Step-by-step explanation:
This is more of a rule than anything else, but to prove this, you can think of c as the transversal. The 4 angles at the intersection of line a and line c are 90 degrees, and so are the 4 angles at the intersection of line b and line c. Using the converses of the Corresponding Angles Theorem, Same Side Interior Angles Theorem, Alternate Interior Angles Theorem, etc.., you can prove that a and b are parallel.
please help me with this i don’t understand much
Answer:
See below
Step-by-step explanation:
Three lengths will be a triangle only if the sum of two sides is greater than the third side.
[tex]19+11 > 17[/tex]
This is a triangle.
[tex]23+28> 52\\51>52\\51 \ngtr 52[/tex]
This is not a triangle.
[tex]9+25> 34\\34>34\\34\ngtr 34[/tex]
This is not a triangle.
[tex]13+14> 22\\27>22[/tex]
This is a triangle.
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1. Find 7% sales tax on a $48 purchase.
2. Find 6.5% sales tax on a $25 purchase.
3. You markup a $25 tool by 45%. What is the new price?
4. You markup a $40 watch by 75%. What is the new price?
5. You discount a $120 TV by 44%. What is the new price?
6. You discount a $65 coat by 25%. What is the new price?
PLEASE EXPLAIN HOW THAT ANSWER IS CORRECT, PLEASE HURRY! I NEED THIS FILLED OUT ASAP.
Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.
Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.
Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.
Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.
Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.
Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.
Answer/Step-by-step explanation:
Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.
Part B: a(t) = y.
a(t) = a + 100t
Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.
Part D: b(t) = y.
b(t) = b(1.1)^t
Part E: a(20) = a + 100(20)
1100 + 2000 = 3100
b(20) = b(1.1)^20
1100(1.1)^20
= 7400
There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.
Hope this helps!
Write an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4
Answer:
y - 5 = -4(x + 1)
Step-by-step explanation:
The point-slope form is y - k = m(x - h). The point is (h, k): (-1, 5) and the slope is -4.
Here we have y - 5 = -4(x + 1)
The required point-slope form of the equation of the line is y - 5 = -4(x + 1).
Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)
Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).
Learn more about slopes here:
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The prime factorization of 2020 is 2² × 5¹ × 101¹. How many different whole numbers are factors of 2020?
Answer:
4
Step-by-step explanation:
1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010
Plz help me again with this math stuff -_-
Answer:
152cm^2
Step-by-step explanation:
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What is the rule for exponents in parenthesis? Give an example of how you solve problems with exponents outside of parenthesis
From 1990 to 1996, the consumption of poultry per capita is modeled by: y=-.2125t^2 + 2.615t+56.33 where t=0 corresponds to 1990. What was the per capita poultry consumption in 1992?
Answer:
60.71
Step-by-step explanation:
Given that:
Consumption of poultry per capita is modeled by:
y=-.2125t^2 + 2.615t+56.33 ; t = 0 corresponds to 1990
Per capita poultry consumption in 1992;
1992 ; t = 2
y=-.2125t^2 + 2.615t+56.33
Put t = 2 in the equation
y=-.2125(2)^2 + 2.615(2) +56.33
y = -.2125(4) + 2.615(2) + 56.33
y = - 0.85 + 5.23 + 56.33
y = 60.71
satnam is making a cake he uses a batter made out of 400 g of dry ingredients if the liquid has to be 2/7 of the total weight of batter how much liquid should he add
You take [tex]\frac{2}{7}[/tex] of [tex]400[/tex].
Which is: [tex]\frac{800}{7} = 114.8 mL[/tex]
A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.
Answer:
Kindly refer to explanation.
Step-by-step explanation:
Given that:
A,B and C are 3 points on circumference of circle with centre O.
AOB is diameter.
Kindly refer to the attached image.
To prove:
[tex]\angle ACB = 90^\circ[/tex]
Solution:
Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].
Construction: Join point A with centre O.
Considering [tex]\triangle AOC[/tex]:
Side AO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle ACO=\angle A=x[/tex]
Considering [tex]\triangle BOC[/tex]:
Side BO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle BCO=\angle B=y[/tex]
[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)
Now, in [tex]\triangle ABC:[/tex]
Using angle sum property of triangle:
[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]
By equation (1):
[tex]\angle ACB = 90^\circ[/tex]
Hence proved.
Ivian scores 58 out of 80 marks in a maths test what is his score as a percentage
Answer:
72.5%
Step-by-step explanation:
Lets make his score a percentage: 58/80
Now covert it to a percentage: 58/80 = x/100
Cross multiply: 80x = 5800, x = 145/2
Divide 145 by 2: 72 1/2
Answer is 72.5%
I hope this helped, please mark Brainliest, thank you!
sweet t is making a double batch of Pupcakes. he puts them in the oven at 6:50. they need to bake for 25 minutes
i would love to help but i just need free points
Step-by-step explanation:
what is the inverse function of c(n) = 4n + 20? show your work
Answer:
c(n) = 4n +20
let m = c(n)
m= 4n +20
make n the subject
m -20 =n
4.
inverse function of c(n)= n-20
4
It is a must that one replaces the m with the n in order to get the final answer
Y=3/8x describes a proportional relationship between x and y. What is the constant of proportionality?
Answer:
The constant of proportionality k is 3/8
Step-by-step explanation:
We are given [tex]y=\frac{3}{8}x[/tex] which describes a proportional relationship between x and y. We need to define constant of proportionality
If y ∝ x then
y=kx where k is constant of proportionality.
Comparing the given [tex]y=\frac{3}{8}x[/tex] with y=kx, we can find value of k i.e constant of proportionality.
So, k= 3/8
Hence, The constant of proportionality k is 3/8
PLEASE HELP ASAP!!!!!!!!!!
Answer:
2 31/100
Step-by-step explanation:
How do you write the algebraic expression: x=-2.5 like i mean the answer
Answer:
2.5 × t = 2.5 t
Step-by-step explanation:
The coach fare to a theme park costs $21 for 3 people, what would be the cost for 6 people?
A) $42 B) $63 C) $140
Answer:
42
Step-by-step explanation:
You add 21 twice because 3 is half of 6
Answer:
A - 42
Step-by-step explanation:
21 x 2 = 42
3 x 2 = 6
Which of the following is a rational number?
Answer:
B.)
Step-by-step explanation:
A rational number is a number with no repeating decimals or decimals that go on “forever” like pi. An expample of a rational number is 2 where 2.3333333... is not a rational number. Pi isn’t a rational number either since forth there is no known end to that.
So, when solved:
A.) = 1.58113883... (irrational)
B.) = -8 (rational)
C.) = 8.94427191... (irrational)
D.) = 3.794733192... (irrational)
I hope you see the pattern. Hope this helps!
24% of students buy lunch. 190 students bring lunch from home. How many students are in the sixth grade?
Answer:
45.6
Step-by-step explanation:
24% out of 190 = 45.6
three sides of a quadrilateral are the same length. q. the length of the forth side is 7 inches. the perimeter of the quadrilateral is 40 inches
Answer:
3q+7=40 I know im a year late but this is for whoever needs it this year Step-by-step explanation:using algebra the value of q is 11 inches Mark me as brainliestThe length of the equal sides of the given quadrilateral comes to be 11 inches.
What is a quadrilateral?A quadrilateral is a polygon with 4 sides.
Suppose the length of the three equal sides =x inch
Length of the fourth side =7 inches
So, the perimeter of the quadrilateral = x+x+x+7
The perimeter of the quadrilateral = 3x+7
Given that the perimeter of the quadrilateral = 40inches
3x+7=40
3x=33
x=11
So, the length of three equal sides = 11 inches
Therefore, the length of the equal sides of the given quadrilateral comes to be 11 inches.
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The length of a rectangular garden is 5 times its width.
Find the length and width if the area is 500 m^2. Has anyone who answer me to this question?
Answer:
10 m and 50 mStep-by-step explanation:
Givenl = 5wA = 500 m²To findLength and widthSolutionArea formula
A = lw A= 5w*w= 5w²5w² = 500w²= 100w = √100w = 10 mThen
l = 5w = 5*10 m = 50 m
PLEASE HELP!! (Give reasonable answer)
Answer: B
Step-by-step explanation: You just multiplying 25 with 10 and w which can be simplified as 24(w+10) and adding with the 13.5 x 10 and 13.5 x w, which can be simplified as 13.5(10+w)
an office administrator will be purchasing supplies for an upcoming meeting. She will purchase folders, which are $2.15 each, and notebooks, which are $4.60 each. The supply budget for this meeting is $150. Which inequality represents the constraint on the number of folders f and notebooks n the office administrator can purchase?
Given :
Price per folder = $2.15 .
Price per notebook = $4.60 .
The supply budget for this meeting is $150.
To Find :
Inequality represents the constraint on the number of folders f and notebooks n the office administrator can purchase.
Solution :
Let, number of folders and notebooks is f and n.
So, price of buying f and n number of folders and notebooks are :
P = 2.15f + 4.60n
Now, it is given that P ≤ $150 .
So,
2.15f + 4.60n ≤ 150
Hence, this is the required solution.
[tex]2.15f+2.5n\leq 150[/tex] inequality will represent the constraint on the number of folders f and notebooks n the office administrator can purchase.
Given information:
An office administrator will be purchasing supplies for an upcoming meeting.
Staff will purchase folders, which are $2.15 each, and notebooks, which are $4.60 each.
The supply budget for this meeting is $150.
Let f be the number of folders purchased and n be the number of notebooks purchased.
Now, the total amount spent on the whole purchase should not be greater than $150 which is the budget of the shopping.
In the form of inequality, the given condition can be written as,
[tex]2.15f+4.6n\leq 150[/tex]
The total amount spent is less than equal to 150.
Therefore, [tex]2.15f+4.6n\leq 150[/tex] inequality will represent the constraint on the number of folders f and notebooks n the office administrator can purchase.
For a graphical representation of the inequality, see the image attached.
For more details, refer to the link:
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Which function describes the sequence 3, 6, 12, 24.... for n = 1. 2. 3.... ? A. f(n) = 3.11 B. /(n) = x2 + 2 C. f(n) = 3(2-1) D. f(n) = (n - 1)2 + 3
Answer:
Tahukah kamu, mengapa motor berhenti di depan lampu merah?
karena motornya direm. Coba kalau nggak direm bisa bahaya tuh.
Tebak binatang apa yang jago renang?
Bebek. Kalau ikan bukan renang tapi menyelam
Kenapa di rel kereta api ditaruh batu?
Soalnya kalau ditaruh duit nanti pada diambil.
Choose the correct value for the linear correlation between latitude and August precipitation from: (i) r= -1, (ii) r=-0.700, (iii) r=-0.161 or (iv) r=-0.538
Answer:
hello your question is incomplete attached below is the missing part of the question
answer : r = - 0.161 ( iii )
Step-by-step explanation:
The correct value for the linear correlation between latitude and August precipitation is ; r = - 0.161 and this is because the data points are showing a less negative correlation
Angle B and angle C are supplementary If the measure of angle B is 14 times the measure of angle C, what is the difference between
the angles measures
Pls help asap
Answer:
The difference between the angle measure is 152 degrees
Step-by-step explanation:
Supplementary angles are angles that add up to 180
So if one angle is x in this case, the other will be 14x
Adding both ;
x + 14x = 180
15x = 180
x = 180/15
x = 12
The other angle is 14 * 12 = 168
The difference between the two will be;
168-12 = 156
The australain sheep dog is breed renowned for its intelligence and work ethic it is estimate that 45% of adult australian sheep dogs weigth 65pounds or more asample of 15 adult dogs is studied what is the probalilty that more than 12 of them weigh 65 lb
Answer:
The probability is 0.0011 to 4 d.p
Step-by-step explanation:
Let p = probability of the dog weighing more than 65 pounds or more = 45% = 45/100 = 0.45
q is weighing less than = 1-p = 1 - 0.45 = 0.55
So the probability of more than 12 weigh 65 lb
That means 13, 14 or 15 weigh more than 65 lb
We can use Bernoulli approximation of Binomial distribution to get this;
That would be ;
15 C 13 0.45^13 0.55^2 + 15 C 14 0.45^14 0.55 + 15 C 15 0.45^15 0.55^0
= 0.001107024147 Which is approximately 0.0011 to 4 decimal place
PLEASE HELP MY MOM IS GOING TO HIT ME IF I DONT GET THIS RIGHT AND I HAVE 10 MINUTES TO FINISH MY TEST
solve the equation for y: 1/4y - 2x = 5
Answer:
x = (5-(1/4*y))/(-2) why does there have to be 20 characters lol
Answer:
y= 8x+20
Step-by-step explanation:
1/4y= 2x+5
y= 4(2x+5)
y= 8x+20
What is the rate of change of y with respect to x for 25x-4y=50
Answer:
The rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
Given
[tex]25x - 4y = 50[/tex]
Required
Determine the rate of change of y w.r.t x
[tex]25x - 4y = 50[/tex]
First, make y subject of formula
[tex]4y = 25x- 50[/tex]
Divide through by 4
[tex]y = \frac{25x}{4} - \frac{50}{4}[/tex]
[tex]y = \frac{25x}{4} - 12.5[/tex]
Next, we differentiate the above w.r.t to x
The result of the differentiation is the solution to the question
[tex]y' = 1 * \frac{25x^{1-1}}{4} -0[/tex]
[tex]y' = 1 * \frac{25x^0}{4}[/tex]
[tex]y' = 1 * \frac{25*1}{4}[/tex]
[tex]y' = \frac{25}{4}[/tex]
Hence, the rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]
By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4
What is derivative?Rate of change of a function with respect to a variable is called derivative of that function with respect to that variable .
Here given relation is 25x-4y=0
[tex]\Rightarrow 4y=25x\\\\\Rightarrow y=\frac{25x}{4}[/tex]
We have to calculate rate of change of y with respect to x so we will calculate derivative of y with respect to x.
we can calculate derivative of y with respect to x as
[tex]\frac{dy}{dx}= \frac{d}{dx} (\frac{25x}{4})\\\\[/tex]
As 25/4 is constant we can take it out from derivative function as it is
[tex]\frac{dy}{dx}= (\frac{25}{4})\frac{dx}{dx}\\\\[/tex]
And we know derivative of a variable with respect to itself is 1
so
[tex]\frac{dy}{dx}= (\frac{25}{4})\times 1\\\\ \frac{dy}{dx}= \frac{25}{4}[/tex]
By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4
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Tuition for one year at the University of Houston is about $12,300 Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved 54,860 for his first year of
tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?
(Answer Choices)
Azul will need to save $256 25 per month for the next 4 years
Azul will need to save $1,860 per month for the next 4 years.
Azul will need to save $620 per month for the next 4 years.
Azul will need to save $155 per month for the next 4 years