Answers
Vertical translation is obtained by adding or subtracting a number from the function. Addition of a number brings about upward translation and subtraction of a number brings downward translation.
So, the answer to this question is option A
Related Questions
which expression defines the given series for seven terms? -13 + (-16) + (-19) +...
Answers
[tex] - 13 + ( - 3) = - 16 \\ - 16 + ( - 3) = - 19 \\ - 19 + ( - 3) = - 22 \\ - 22 + ( - 3) = - 25[/tex]
you have to plus (-3) for each numbers
Answer:
[tex]a_n =-3n-10[/tex]
Step-by-step explanation:
-13 + (-16) + (-19) +...
Difference between two terms = -3
-16 -(-13)= -3
-19 -(-16)= -3
Common difference is a constant so it is arithmatic
[tex]a_n = a_1+(n-1)d[/tex]
where 'd' is the difference = -3
a1 is the first term that is -13
[tex]a_n = -13+(n-1)(-3)[/tex]
[tex]a_n = -13-3n+3[/tex]
Combine like terms
[tex]a_n =-3n-10[/tex]
The scale factor of the dilation of figure ABCD is
Answers
The scale factor is 2.
Get Brainliest if you answer What was Hammurabi's most important achievement as the ruler of Babylon? A. He built extensive canals, which carried water to many parts of his kingdom. B. He established permanent armies, which he used to control his empire. C. He appointed governors to rule over conquered cities. D. He was responsible for a codification of laws that influenced later societies.
Answers
Answer:
Its D
Step-by-step explanation:
I did the quiz
The radius of a cone can be found using the formula r=3Vπh , where V stands for the volume of the cone and h stands for the height. If r=3 , h=8 , and π is 3.14, find the volume (V). Round the answer to the nearest hundredths place.
Answers
r = Sqrt [(3V)/(πh)]
Making the V the subject of the formula
r^2 = (3V)/(πh)
V = πr^2h/3
Substituting,
V= 3.14*3^2*8/3 = 75.36 sq. units
Using the formula for the radius of a cone and the given values of r = 3, h = 8, and [tex]\pi[/tex] = 3.14, the volume of the cone is calculated to be approximately 25.12 [tex]cm^3[/tex].
To find the volume V of a cone, we need to solve for V in the given formula [tex]\( r = \frac{3V}{\pi h} \). With \( r = 3 \),[/tex] h = 8, and [tex]\pi = 3.14[/tex], let's proceed as follows:
Rearrange the Formula
1. Given that [tex]\( r = \frac{3V}{\pi h} \)[/tex], isolate V to get:
[tex]\[ V = \frac{r \cdot \pi \cdot h}{3} \][/tex]
2. Using r=3, h=8, and [tex]\( \pi = 3.14 \)[/tex]:
[tex]\[ V = \frac{3 \cdot 3.14 \cdot 8}{3} \][/tex]
3. Simplify and solve:
[tex]\[ V = 3.14 \cdot 8 \approx 25.12 \][/tex]
Rounding to the nearest hundredths place, the value for the volume V is approximately 25.12 cubic units.
In general, the y-intercept of the function F(x)=a•b^x is the point what????
Answers
The y-intercept is the point (0, a).
PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1)
Answers
[tex]\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby \begin{array}{llll} \textit{now let's multiply both}\\ \textit{sides by }\stackrel{LCD}{2} \end{array} \\\\\\ 2(y)=2\left( \cfrac{5}{2}x-\cfrac{23}{2} \right)\implies 2y=5x-23\implies \stackrel{standard~form}{-5x+2y=-23} \\\\\\ \textit{and if we multiply both sides by -1}\qquad 5x-2y=23[/tex]
side note: multiplying by the LCD of both sides is just to get rid of the denominators
What is the quotient when 0.75 is divided by 5?
Answers
(its just 0.75 ÷ 5)
The area of an artist's square canvas can hold 113 square inches of paint. What is the approximate length of one side of the canvas? (Approximate to the nearest hundredth inch.)
10.62 inches
10.63 inches
10.64 inches
10.65 inches
Answers
You'll need a calculator to find this exactly.
Answer:
The approximate length of one side of the canvas is 10.63 inches
Step-by-step explanation:
Given :The area of an artist's square canvas can hold 113 square inches of paint.
To Find :What is the approximate length of one side of the canvas?
Solution:
Canvas is in the shape of square
Area of square = [tex]Side^2[/tex]
Let the side of the canvas be x
Area of canvas = [tex]x^2[/tex]
Since we are given that The area of an artist's square canvas can hold 113 square inches
So, [tex]113=x^2[/tex]
[tex]\sqrt{113}=x[/tex]
[tex]10.630=x[/tex]
So, the approximate length of one side of the canvas is 10.63 inches
Hence Option B is correct.
Complete the equation of the line whose slope is − 2 and y-intercept is ( 0 , 3 )
Answers
This is the equation in slope point form.
James bought $175 in accessories for his video game console. He spent $15 on a new power cord and the rest of his money on 5 new video games. Each video game cost the same amount. Write two equations you could use to find the cost of each video game.
Answers
I believe two equations you can make to represent the question are...
(175-15)/5
and
5x+15=175
The first equation, (175-15)/5, makes you subtract 15 from 175 to get 160. You'll then divide 160 by 5 to get 32.
The second equation, 5x+15=175, makes you subtract 15 from 15 and 175, so you'll equation will look like this...
5x=160
You'll then divide 5x and 160 by 5 to get x=32.
So for both equations, you'll get an answer of 32.
I hope this helps!
The solution is, two equations are: (175-15)/5 and, 5x+15=175
the cost of each video game is 32.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, we have,
two equations we can make to represent the question are...
(175-15)/5
and
5x+15=175
The first equation, (175-15)/5, makes you subtract 15 from 175 to get 160. You'll then divide 160 by 5 to get 32.
The second equation, 5x+15=175, makes you subtract 15 from 15 and 175, so you'll equation will look like this...
5x=160
You'll then divide 5x and 160 by 5 to get x=32.
So for both equations, we'll get an answer of 32.
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a hiker walks 12 miles north. then she walks 9 miles west. What is the shortest distance the hiker can travel to return tonher starting point
Answers
hypotenuse^2 = 12^2 + 9^2 = 225 return distance = 15 miles.
During the first stages of an epidemic, the number of sick people increases exponentially with time. Suppose that at = 0 days there are 2 people sick. By the time = 3, 40 people are sick. a) Let be the number of sick people at time . Find an exponential equation = expressing in terms of .
b) How many people will be sick by the time = 6?
Answers
r = rate of growth
by 0 day, or t = 0, there are 2 folks sick,
[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\to &2\\ P=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\to &0\\ \end{cases} \\\\\\ 2=P(1+r)^0\implies 2=P\cdot 1\implies 2=P\qquad \boxed{A=2(1+r)^t}[/tex]
by the third day, t = 3, there are 40 folks sick,
[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\to &40\\ P=\textit{initial amount}\to &2\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\to &3\\ \end{cases} \\\\\\ 40=2(1+r)^3\implies 20=(1+r)^3\implies \sqrt[3]{20}=1+r \\\\\\ \sqrt[3]{20}-1=r\implies 1.7\approx r\qquad \boxed{A=2(2.7)^t}[/tex]
how many folks are there sick by t = 6? [tex]\bf \stackrel{that~many}{A=2(2.7)^6}[/tex]
If a body moves in a straight line according to the law s = 24t + 3t2 - t3 , where s is the distance measured in meters from the origin and t is the time in seconds after it starts to move, calculate the body's velocity as a function of time. A. V = 30t - t2 B. V = 24 + 6t - 3t2 C. V = 24 + 3t - t2 D. V = 30t - 3t2
Answers
To solve this we are going to take the derivative of our position function [tex]s=24t+3t^2-t^3[/tex]. To do that er are going to apply the power rule of calculus: [tex] \frac{dy}{dx} x^n=nx^{n-1}[/tex]
[tex] \frac{dy}{dx} 24t+\frac{dy}{dx}3t^2-\frac{dy}{dx}t^3[/tex]
[tex]24+2(3)t-3t^2[/tex]
[tex]v=24+6t-3t^2[/tex]
We can conclude that the correct answer is: B. V = 24 + 6t - 3t2
Hey can you please help me posted picture of question
Answers
Reflection along x-axis can be obtained by multiplying the function by -1.
So, G(x) reflected along x-axis will be: - x²
Next the function is shifted down by 3 units. So this can be obtained by subtracting 3 from the function.
So, we can write
F(x) = -x² - 3
Thus, option C is the correct answer
To test upper h 0: muequals60 versus upper h 1: muless than60, a random sample of size nequals24 is obtained from a population that is known to be normally distributed. complete parts (a) through (d) below.
Answers
random sample of size nequals24 is obtained from a population that is known to be normally distributed But we have equatoon
can someone help me x-7=2x-6
Answers
x-7=2x-6
subtract x from both sides.
-7=x-6
add 6 on both sides.
x - 1 = 2x Subtract x from both sides
-1 = x Flip it around so it's easier to read
x = -1
Check your answer by substituting -1 in for x.
(-1) - 7 = 2(-1) - 6 Simplify 2 times -1
(-1) - 7 = -2 - 6 Simplify both sides
-8 = -8
So, x = -1 .
if you change the sign of a point’s x -coordinate from positive to negative, how will the location of the point change?
Answers
we know that
If you add a negative to the x-coordinate of a point, then the point will move to another quadrant
example
if the point is on the first quadrant
then
the point will move to the second quadrant
if the point is on the fourth quadrant
then
the point will move to the third quadrant
in both cases the y-coordinate remains the same
hence
the answer is
The point will cross over the y-axis
Answer:
The point will cross over the y-axis
Step-by-step explanation:
Hope it help because i Just Answer the same question and got it before i come on Brainly
A survey was conducted at Springdale High to find the number of hours students sleep at night. The histogram shows the data collected in this survey. Which statement about the number of hours students sleep is true? Seventeen students sleep between 6 and 8 hours at night. Seventeen students sleep for 6 hours at night. Ten students sleep for 4 hours at night. Six students sleep between 2 and 4 hours at night. Four students sleep for 10 hours at night.
Answers
If there are 4 math courses, 3 psychology courses, and 5 english courses offered in non-overlapping times so that you could select one of each for your schedule, how many different schedules would be possible?
Answers
[tex]4 \times 3 \times 5 = 60[/tex]
Answer:
there are many different answers that is because there are four different ways to answer this one question.
Step-by-step explanation:
4*3*5=60
4-+5+3=12
1) 435 2) 435 3) 435
A bag of rice weights 3.18 lbs find its mass in kilograms
Answers
lyzette's folder has a permeter of 38 inches.if the length of the paper is 11 inches what is the width of the folder
Answers
38 = 2(11) + 2w
2w = 38 - 22
2w = 16
w = 16 ÷ 2
w = 8
Answer: Width = 8 inches
Final answer:
To find the width of Jyzette's folder with a perimeter of 38 inches and a length of 11 inches, we use the perimeter formula for a rectangle, solve for width, and find that the width of the folder is 8 inches.
Explanation:
Finding the Width of a Folder
To determine the width of Jyzette's folder, we use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is perimeter, l is length, and w is width. Given that the perimeter is 38 inches and the length is 11 inches, we can set up the equation:
38 = 2(11) + 2w
Simplifying the equation: 38 = 22 + 2w. We then subtract 22 from both sides, resulting in 16 = 2w, and finally, dividing both sides by 2 gives us w = 8. Therefore, the width of the folder is 8 inches.
Han has 410,000 in a retirement accounts that earns 15,785 each year find the simple interest rate for this investment
Answers
Interest = principle * rate * time
I=prt
r=I/(pt)=15785/(410,000*1)= .0385
The simple interest rate on this investment is.0385 or 3.85%:
What is Simple Interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
Given:
Han has 410,000 in a retirement accounts that earns 15,785 each year.
Using Simple Interest
Interest = principle x rate x time / 100
Rate = Interest / ( principle x time )
Rate = 15785/(410,000x1)
Rate = 0.0385
Rate= 3.85 %
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ABC Bookstore sells new books according to the demand function P = -Q + 25, where P is the price and Q is the quantity. If the bookstore charges $18 for a new book, how many new books can the store expect to sell?
Answers
Therefore, the store can expect to sell 7 new books if they will charge $18 for the new books.
Answer:
P = -Q + 2518 = -Q + 2518-25 = -Q-7 = -Q-7/-1 = -Q/-1Q = 7
Therefore, the store can expect to sell 7 new books if they will charge $18 for the new books.
Solve triangle PQR is PQ 9, PR 7, and QR 8. POR is NOT a right triangle.
Answers
PR = 7 unit
QR = 8 unit
To find => Area of triangle PQR
We can find area of triangle by Heron's Formula.
Where,
s = (9+7+8)/3
= 24/3
= 8
and,
a = 9
b = 7
c = 8
Heron's Formula = [tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]
= [tex] \sqrt{8(8 - 9)(8 - 7)(8 - 8)} [/tex]
= [tex] \sqrt{8( - 1)(1)} [/tex]
= [tex] \sqrt{ - 8} [/tex]
= [tex]2i \sqrt{2} [/tex]
Area of triangle = 2i√2 units
Hope this helps!
[tex]\text {Formula = } \sqrt{p(p-a)(p-b)(p-c)} , \text { where p is half the perimeter}[/tex]
We will start off by find p:
[tex]\text {p = } \dfrac{9+7+8}{2} = \dfrac{24}{2}= 12 [/tex]
Now we know, p = 12, we plug in a = 9, b = 8 and c = 7 into the formula to find the area:
[tex]\text {area = } \sqrt{12(12-9)(12-8)(12-7)}[/tex]
[tex]\text {area = } \sqrt{12(3)(4)(5)}[/tex]
[tex]\text {area = } 26.83 \text{ units}^2[/tex]
1. Assume you buy 100 shares of stock at a price of $63.75 per share and incur brokerage fees of $200. You own the stock for 5 years and receive dividends of 50 cents per share at the end of each quarter. Immediately after receiving the 20th quarterly dividend, you sell the stock at a price of $48.63 per share and incur brokerage fees of $200. Calculate your rate of return. (IRR)
2. You own a thriving restaurant but want to change careers. Your brother offers to buy the business with the following monthly payments: $2,750 at the end of each month for 4 years, followed by $3,000 at the end of each month for 3 years. Assuming that you can earn 9% compounded monthly, what is the equivalent cash price of your brother’s offer? (NPV)
Answers
initial outlay: $63.75*100 +200.00 = $6575
quarterly dividend: $0.50*100 = $50 . . . for 19 quarters
income from sale: $48.63*100 -200.00 +50.00 = $4713
A suitable financial calculator computes the IRR as -3.23% per year.
2. Your cash flow is as follows.
initial income/outlay: 0
monthly income: $2750 . . . for 48 months
monthly income: $3000 . . . for 36 months
applicable interest rate: .09/12 = 0.0075 . . . per month
A suitable financial calculator computes the NPV as $176,415.70.
draw 8 lines that are between 1inch and 3 inches long
Answers
two cylindrical candles have a scale factor of 3:5. The larger candle has a volume of 40(3.14) cubic inches. Fund the volume of thel the smaller candle. Write your answer in term of (3.14)
Answers
[tex]5 = 40\pi \\ 3 =( (40 \div 5) \times 3)\pi \\ = 24\pi[/tex]
The volume of the smaller candle is 8.64π cubic inches.
How to find the volume
The volume of a cylinder is given by the formula
V = π r² h,
where
r is the radius and
h is the height.
The scale factor is given as 3:5, which means the ratio of the volumes is (3³ : 5³)
Using the ratio, let volume of the the smaller candle. be x
3³ : 5³
x : 40π
cross multiply
x = 40π * 3³ / 5³
x = 40π * 27 / 125
x = 8.64π cubic inches.
circle the fraction in the set with the least value 4/3 5/5 4/4 1/2 1/1
Answers
if both the top and bottom numbers are the same, the fraction equals 1
if the top number is smaller than the bottom number then the fraction is less than 1
so with the fractions you have:
4/3 ( 4 is larger than 3 so this is greater than 1)
5/5 ( 5 = 5, so this = 1 )
4/4 ( 4=4, so this = 1)
1/2 ( 1 is smaller than 2 so this is less than 1)
1/1 ( 1 =1 so this = 1)
since 1/2 is less than 1, this is the fraction with the least value
Aisha wants to make two quilts, each with the same area. The first quilt will be square with sides s feet long. The second quilt will be a rectangle with a width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt. Which quadratic equation can be used to find s, the side length of the square quilt?
s^2 =(1/2s) (s + 6)
s^2 = (s)(s + 6)
s^2 =(1/2s) (6s)
s^2 = (s)(6s)
Answers
Then, Area (A) = S^2
Width of rectangular shape = S/2
Length of rectangular shape = S+6
Then, Area (A) = (1/2S)(S+6)
The two area are equal. Therefore,
S^2 = (1/2S)(S+6)
The first option is the correct quadratic equation to solve for S.
Answer:
Option 1 - [tex]s^2=(\frac{1}{2}s)(s+6)[/tex]
Step-by-step explanation:
Given : Aisha wants to make two quilts, each with the same area. The first quilt will be square with sides s feet long. The second quilt will be a rectangle with a width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt.
To find : Which quadratic equation can be used to find s, the side length of the square quilt?
Solution :
The first quilt will be square,
Let the side of square be s
The area of the square is [tex]A=s\times s[/tex]
The second quilt will be a rectangle,
A width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt.
Width of the rectangle = [tex]\frac{1}{2}s[/tex]
Length of the rectangle = s+6
Area of the rectangle is [tex]A=(\frac{1}{2}s) \times (s+6)[/tex]
According to question,
Area of square and rectangle are equal,
So, [tex]s\times s=(\frac{1}{2}s) \times (s+6)[/tex]
[tex]s^2=(\frac{1}{2}s)(s+6)[/tex]
Therefore, Option 1 is correct.
The required equation is [tex]s^2=(\frac{1}{2}s)(s+6)[/tex]
hey can you please help me posted picture of question
Answers
F(x-5) indicates that F(x) is shifted 5 units to right. So G(x) can be obtained from F(x) by shifting it 5 units to the right.
Thus, the answer to this question is option C