To make a large poster of the bill of rights to hang on the classroom wall, a poster that is 22 inches by 46 inches is copied. In the classroom version is to be 3 1/2 times scale, what are the dimensions of the new document? PLEASE ANSWER QUICKLY WILL GIVE BRAINLIEST WHOEVER ANSWERS FIRST!! MUST BE CORRECT!!!!

Answers

Answer 1

Answer:

77 inches by 161 inches

Step-by-step explanation:

This is because you need to multiply 22 by 3.5(3 1/2) and the answer you get is 77 then you multiply 46 by 3 1/2 and the answer you get is 161.

So the dimensions of the new document is 77 inches by 161 inches.


Related Questions

Simplify -4|-5| - [2(-17)]

1. 54
2. 14
3. -14

Add an explanation on how you got the answer

Answers

54 is the answer of -4(-5)-(2(-17))

Answer:

1 . 54

Step-by-step explanation:

8 w 4 + 10 w 3 − 12 w 2 Factor completely

Answers

Answer:

[tex] 2w^2(w + 2)(4w - 3) [/tex]

Step-by-step explanation:

[tex] 8w^4 + 10w^3 − 12w^2 = [/tex]

First, factor out the GCF of all terms, 2w^2:

[tex] = 2w^2(4w^2 + 5w - 6) [/tex]

Now we work on the trinomial.

Think of ax^2 + bx + c.

Multiply ac

ac = 4 * (-6) = -24

Now we need two numbers whose product is -24 and whose sum is 5.

They are -3 and 8.

We break up the middle term, 5w, into a sum using these two numbers.

5w = 8x - 3w

[tex] = 2w^2(4w^2 + 8w - 3w - 6) [/tex]

Now we factor by parts. We factor a common factor out of the first two terms, and we factor a common factor out of the last two terms.

[tex] = 2w^2[4w(w + 2) - 3(w + 2)] [/tex]

[tex] = 2w^2(w + 2)(4w - 3) [/tex]

I'm just checking if I got this correct.

Answers

Answer:

28 units

Step-by-step explanation:

(-3, 4) *home to (4, 4) is 7 units

Same thing to Snacks to Grocery store

7 + 7 units so far

Video store to Grocery store is 7 units so is home to snacks

7 + 7 + 7 + 7 is the final answer

Answer: 28 units
the answer your looking for is 28 units.

what is the domain of the function shown in the graph below?
answer type: interval, all real numbers, all values except one, all values except two
interval:

Answers

Answer: interval from -8 to 5

In interval notation, we would write [-8, 5]

The domain is the set of allowed x inputs to a function. The left-most point is (-8,0) so x = -8 is the smallest x value allowed. The largest x value allowed is x = 5 due to the point (5,0) being the right-most point.

The use of square brackets in interval notation says "include this endpoint as part of the interval".

it is would be -5 to 8

Use the diagram below to answer the questions.
Which are shown on the diagram? Check all that apply.
JL
KM
JK
PK
LJK
MJ

Answers

Answer:B, C, & F

Step-by-step explanation:

got correct on edge

KM, JK, PK, and MJ are shown on the diagram. Then the correct options are B, C, D, and F.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

More about the coordinate geometry link is given below.

https://brainly.com/question/18269861

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5x1+1x(1/10)+3x(1/100)+6x(1/1000) in standard form

Answers

Answer: 642/125

Explanation:

5x1+1(1/10)+3(1/100)+6(1/1000)
= 5 + 1/10 + 3/100 + 6/1000
= 5000/1000 + 100/1000 + 30/1000 + 6/1000
= 5136/1000
= 642/125

Answer:

642/125

Step-by-step explanation:

and the other person got it

Four representations of the same data are shown below. Verbal Description Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x. Equation y = x + 4 Table A 2-column table with 3 rows. Column 1 is labeled x with entries 30 dollars, 40 dollars, 50 dollars. Column 2 is labeled y with entries 34 dollars, 44 dollars, 54 dollars. Graph Cell Phone Bill A graph with data/minutes charges on the x-axis and total bill on the y-axis. A line goes through points (0, 4) and (3, 7). Which two representations are considered to be only partial representations? the equation and the verbal description the verbal description and the graph the table and the equation the graph and the table

Answers

Answer: D) the graph and the table

The table is a partial representation as we only see three data points. This is a limited view. Because of this, the answer is between C and D. However, we can rule out choice C as the equation will give us the complete view of what's going on. We can plug in any x value we want to find the corresponding y value (keep in mind that x and y can't be negative though). So that means the graph is a partial representation. This is true if the line segment doesn't extend forever upward. If we had a line segment through the endpoints (0,4) and (3,7), and it stopped at (3,7), then this is a limited view. It does not show what the bill would be if x were say x = 5.

A teacher has 1,425 marbles to divide equally among 9 groups of students to use in an experiment. What is the least number of marbles he could have left after the marbles are distributed?

Answers

Answer:

3

Step-by-step explanation:

Basically we need to find out whats the remainder of 1425 when you divide by 9.

1425/9 = 158 R3

R3 is 3 marbles left, so the answer is 3.

You first have to divide 1,425/ 9, you’ll later then get the answer of 158 with a remainder of 3, the three can’t be evenly distributed and so THE ANSWER IS 3

help a girl out bc im strugglinggg also, these are two different questions, you can answer both or one of them thank you so much in advance

Answers

Step-by-step explanation:

yes the f( x) and g( x) is inverse each other.

f(x) = 3x-5

3x-5=0

x=5/3

g(x) = x+5/3

5x/3

x=3/5

yes
5/3
3/5
ik i’m right i took the test

PLEASE HELP WILL GIVE BRAINLY!!!!!!!!!What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?
(−4, 18)
(0, -2)
(-8, -2)
(−4, −18)

Answers

Answer: D.  (-4, -18)

===================================================

Explanation:

A graph is a nice addition (and it will likely help us see the vertex directly), but it isn't necessary because we can use the equation given to us. Though I recommend using a graphing calculator to confirm the answer.

The original function is the same as y = 1x^2+8x + (-2). We see that it is in the form y = ax^2+bx+c where

a = 1

b = 8

c = -2

Use the values of 'a' and b to get the value of h, which is the x coordinate of the vertex.

h = -b/(2a)

h = -8/(2*1)

h = -4

The x coordinate of the vertex is x = -4. Plug this into the original equation to get

f(x) = x^2+8x-2

f(-4) = (-4)^2 + 8(-4) - 2

f(-4) = -18

Plugging x = -4 into f(x) leads to y = -18. The point (-4, -18) is on the parabola. Furthermore, this is the vertex (h,k)

------------

Alternatively, you can complete the square as shown below

y = x^2 + 8x - 2

y = (x^2 + 8x) - 2

y = (x^2 + 8x + 0) - 2

y = (x^2 + 8x + 16 - 16) - 2

y = (x^2 + 8x + 16) - 16 - 2

y = (x+4)^2 - 18

y = 1(x+4)^2 - 18

y = 1(x-(-4))^2 - 18

The last equation is in the form y = a(x-h)^2 + k with (h,k) = (-4,-18) being the vertex. The 16 is the result of taking half of 8 and squaring that result. We have 16-16 = 0 to make sure that we don't change the equation and keep things balanced. This is the same as adding 16 to both sides. All of this is done so we can end up with the (x+4)^2 perfect square portion.You can expand out (x+4)^2 - 18 and you should get x^2+8x-2 again.

D is the answer

Because you need to rewrite in vertex form and use this form to find the vertex (h,k)

Which should get you to

(-4,-18)

Solve for x: 2(10-2x) = 4(3x + 1). Write your answer as a fraction.

Answers

Answer:

[tex]\boxed{x=1}[/tex]

Step-by-step explanation:

[tex]2(10-2x) = 4(3x + 1)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]20 - 4x = 12x + 4[/tex]

[tex]\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.[/tex]

[tex]20 - 4x - 12x - 20 = 12x + 4 - 12x - 20[/tex]

[tex]-16x = -16[/tex]

[tex]\sf Divide \ both \ sides \ by \ -16.[/tex]

[tex]\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}[/tex]

[tex]x=1[/tex]

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 1

▹ Step-by-Step Explanation

2(10 - 2x) = 4(3x + 1)

Simple terms are written last:

2(-2x + 10) = 4(3x + 1)

Distributive Property:

-2 * 2x + 2 * 10 = 4 * 3x + 4

x = 1

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Interpret the average rate of change of –14/3 that you found previously. What does this mean in terms of the waterslide, from x = 0 to x = 15?

Answers

Answer:

Solution: The average rate of change of  represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

Explanation:

The rate of change shows the change in first variable with respect to change in second variable.

If the rate of chang is given by  it means second variable is decrease by 14 if the first variable increase by 3.

In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.

If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.

Let the vertical height of the slide covered from x = 0 to x =15 be y.

It means when distance increased by 15 units the height of slide decreased by y units.

So rate of change = .

It is given that the rate of change is .

Equate both equations.

Therefore, the average rate of change of  represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

What are the coordinates of the vertices of the polygon in the graph that are in Quadrant II? A) (4,–2) B) (4,3), (0,5), (0,1) C) (–5,2), (–3,2), (–3,4) D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)

Answers

Answer:

C) (–5,2), (–3,2), (–3,4)

Step-by-step explanation:

A) (4,–2)

B) (4,3), (0,5), (0,1)

C) (–5,2), (–3,2), (–3,4)

D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)

For quadrant two the points are always (-x,y) and x is always negative.

Image shows quadrant places.

C. ) (-5,3), (-3, 2), (-3, 4)

AHH, I need help .....again. ik this one is easy my brain is just - also, what is a good excuse to tell my teacher because this assignment is past due by one day bc i thought it was due on the 6 but .... it wasn't . And idk what to say plz help !!! thx :D

Answers

Answer:

fraction: 87/100. decimal: 0.87

Step-by-step explanation:

Because there are 10 rows and 10 colums, you know the denominator is 100 because it is 10x10.

Then I counted the first 80 blue squares and knew it was 80 because it is 8 rows and 10 colums. Then I added 7 blue squares because that is above the 80, and 80+7 is 87. So, the fraction is 87/100.

100ths places in decimals is two places, so the 87 would be in the first two decimal places, so it would be 0.87.

Sorry if this is confusing, and I hope it helps :)

Answer:

Fraction = 87 over 100 or [tex]\frac{87}{100}[/tex]  The decimal = 0.87

Step-by-step explanation:

first what I did was I counted all of the total squares which was 100 then I counted all of the Shaded squares which was 87.then I put 87 over 100 as a fraction and try to figure out if that was its simplest form which it was. for the decimal all I had to do was take 87 and divide it by 100

in the figure above, pqrs is a parallelogram. What is the value of x?​

Answers

Answer:

x = 162 degrees.

Step-by-step explanation:

m < RSP = 180 - 72

= 106 degrees (adjacent angles)

m < Q = m < RSP ( Opposite angles in a parallelogram are equal).

So m < Q = 180 degrees.

m < x = 360 - 90 - 108

= 360 - 198

= 162 degrees.

Using the appropriate angle theorems, the value of the angle, x in the parallelogram would be 162°

At angle S :

S + 72 = 180 (sum of straight line angles)

S = 180° - 72°

S = 108°

S = Q (opposite angles of a parallelogram)

Q = 108°

Hence,

Q + x + right angle = 360° (sum of angles at a point)

108° + x + 90 = 360

x = 360 - (108 + 90)

x = 162°

Hence, the value of x is 162°

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In annual Student vs. Faculty Kickball game, Brian kicked a ball that was in the air for a total of 4.5 seconds before it landed on the ground. Assuming that the ball left from the ground (initial height=0) which of the following was the initial vertical velocity of the ball? HINT: Use the height equation for English units.

Answers

Answer:

72.4004 ft/sec

Step-by-step explanation:

We know the parabola has width of 4.5 above the x-axis.

The parabola must face downward in order to represent a downward arc.

Therefore, the equation is:

-x^2+4.5x

The vertex is at (2.25, 5.063).

The max height was 5.063.

vy=v0y+ay⋅t

y=y0+v0y⋅t+12⋅ay⋅t2

i’m not sure i have to answer 2 more questions and i’m trying to do my work soo

Pls answer I need help please give me an answer and a explanation

Answers

Answer:y=4x

Step-by-step explanation:

Answer:

4x = y

Step-by-step explanation:

Since we see that "X" multiplied by 4 is "Y" in every pattern,

we get the equation that 4 times of x (4x) is equal to the corresponding y.

and Thus we have the final answer of 4x = y.

Hope this helps!

Among Patients who did not relapse which statement was most effective and what’s its conditional relative frequency

Answers

Answer:

For those who achieve a year of sobriety, less than half will relapse. If you can make it to 5 years of sobriety, your chance of relapse is less than 15 percent.

So A

Answer:

2

Step-by-step explanation:

Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than times the number of shells Mary has. Nancy has 1 more than times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that represents this situation and identify its solution.

Answers

Answer:

Answer is  x = 24

Matches 3/2 x +1 = 4/5x-5

Step-by-step explanation:

We start with Mary 3/2x = 24 as 24/1.5 = 16 and 16 x 1/2 = 8

where 16 is 2/2 and 1/2 of 16 = 8

We find Nancy add 1 = 25 as 25/1.5 = 16.666.. and 1/2 = 8.333.

When 1 is added its done at end of both equations as multiplication occurs before hand.

Gracie has the same as Nancy =  5x+5 means   25 x 5 = 250+5 = 255 each.

50 x 5 = 250 + 5 +5= 510

510 + 24 + 1 = 535 seashells.

Because

24 + 1 = 25

matches

5/4 of 24 = 30

30 - 5 = 25

x=16 is the equation that represents this situation and identify its solution.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of shells Marry has.

Gracie has 5 more than times the number of shells Mary has.

Gracie = 1 1/4x + 5

Nancy  = 1 1/2x+ 1

Now we have given that: Gracie =Nancy

[tex]1\frac{1}{4}[/tex] x + 5 = [tex]1\frac{1}{2}[/tex]x + 1

5/4x + 5 = 3/2x + 1

5x + 20 = 6x + 4

Subtract 6x  and 20 on both sides

5x - 6x = 4 - 20

-x = - 16

x = 16.

Hence, x=16 is the equation that represents this situation.

To learn more on Equation:

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Solve for x. Show work plz

Answers

Step-by-step explanation:

Given,

RSTU is a parallelogram,

so, we need to find the value of x,

let's find it,

2x+15 = x+15 (opposite side of parallelogram are equal and parallel)

2x - x = 15-15

x=0

Therefore, the value of x is 0.

If you have doubt. then let's clear it by putting the value of x.

so, 2×0+15 = 0+15

15=15 {as already said that the sides are equal}

proved..

so, the value of x is 0.

Hope it helps.....

Answer:

x=0

Step-by-step explanation:

Assuming the two sides are equal length

2x+15 =x+15

Subtract 15 from each side

2x =x

Subtract x from each side

2x-x = x-x

x=0

The radius of a circle is 6. Using T, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

Answers

Answer:

Option (B)

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

A) C/6 = π

B) C/12= π

C) C = 6πr

D) C = 12πr

Formula to get the circumference of the circle is,

C = 2πr = π × D

Where C = circumference of the circle

D = Diameter of the circle

By dividing with D on both the sides of the formula,

[tex]\frac{\text{C}}{\text{D}}=\pi[/tex]

Since, diameter 'D' = 2r,

[tex]\frac{\text{C}}{\text{2r}}=\pi[/tex]

[tex]\frac{\text{C}}{2\times 6}=\pi[/tex]

[tex]\frac{\text{C}}{12}=\pi[/tex]

Therefore, equation given in Option (B) will be the correct expression.

122278272662222211111111

*LAST QUESTION, PLEASE ANSWER I NEED HELP* What will be the new volume of the prism if a scale factor of 2.5 is applied to the dimensions?

Answers

Answer:

10,500 cubic inches

Step-by-step explanation:

1. Find the new lengths after the scale factor

6 · 2.5 = 15

8 · 2.5 = 20

14 · 2.5 = 35

2. Solve for the volume (length · width · height

15 · 20 · 35 = 10500

The required volume of the prism after the scale factor is 2.5 is applied to the dimensions is 10,500 cubic inches. Option D is correct.

DImension for prism,
Length = 14
width = 8
Height = 6
Scale factor = 2.5
New volume to be determined.

What is the scale factor?

The scale factor is defined as the ratio of modified change in length to the original length.

Applying scale factor 2.5 to the dimensions,
Length = 2.5 * 14 = 35
width = 8 * 2.5 = 20
Height = 6* 2.5 = 15

The new volume of the prism  = length * width *height
                                                    = 35 * 20 * 15
                                                    = 10, 500

Thus, The required volume of the prism after the scale factor is 2.5 is applied to the dimensions is 10,500 cubic inches. Option D is correct.

Learn more about line Scale factors:

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Use addition to solve the linear system of equations. 2x + y = 5 3x + 2y = 4 (6,7) (-6,-7) (6,-7) (-7,6)

Answers

Answer:

Solving 5x + y = 5 and - 3x + 2y = 6 gives (4/13,45/13) Similarly solve other combinations by observing graph to get other coordinates. From the figure we have obtained coordinates of corners as:

Step-by-step explanation:

The Solution for the linear equation is ( 6, -7)

What is Linear Equation?

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation.

Given:

2x + y = 5.......................(1)

and, 3x + 2y = 4....................(2)

Multiply the equation (1) by 2 we get

4x + 2y = 10 ....................(3)

Solving Equation (2) and (3), we get

  3x  +  2y  = 4      

  4x  +  2y  = 10

-         -           -

_____________

    -x = -6

      x= 6

and, y= 5- 2x = 5-2(6) = -7

Hence, the solution is (6, -7)

Learn more about linear equation here:

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What property is used in the second step of solving the inequality below?

5 x minus 9 less-than 91
______Given_______
5 x less-than 100
__________________
x less-than 20
Multiplication Property
Identity Property
Addition Property
Multiplication Property
Transitive Property

Answers

Answer:

Addition property

Step-by-step explanation:

Given the inequality:

5x - 9 < 91

The step to take here to move 9 to the other side, is to perform the addition property by adding 9 to both sides.

Thus,

5x - 9 + 9 < 91 + 9

5x < 100

The final step is to perform the division property by dividing both sides by 5, in order to solve for x.

5x/5 < 100/5

x < 20.

Addition property
Hope
This helps

I am getting headache In this question!! Can you solve it please!!? Please answer. Will mark brainliest!!

Answers

Answer:

Step-by-step explanation:

Find the quotient:

9/10 / 1/3

=> Take the reciprocal

=> 9/10 X 3/1

=> 27/10 = 2.7

Jennie spent 2h studying for exams.....

2 / 2/3

=> Take the reciprocal

=> 2/1  X  3/2

=> 6/2 = 3 subjects.

Calculate:

5 1/2 / 3

=> 11/2  /  3

=> Take the reciprocal\

=> 11/2  X  1/3

=> 11/6

A farmer has 9  1/2 ha  of land.......

=> 9  1/2  /  1  1/4

=> 19/2  /  5/4

=> Take the reciprocal

=> 19/2  X  4/5

=> 76/10

=> 7.6 crops.

I don't know the answer to the question named: Draw a picture to show how many 1/5 s are there in 7/10.

I know the answer to the other 4 questions. They are correct.

27/10 -> 2.7 because 9/10 times the reciprocal which is 3/1 = 27/10 -> 2.7

Explanation/Answer would be appreciated please

Answers

Answer: The solution for the system is (2, -7)

Step-by-step explanation:

Ok, here we have linear relationships.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case, we have two lines:

ya, that passes through:

(-8, -5) and (-3, -6)

Then the slope is:

a = (-6 - (-5))/(-3 - (-8)) = (-6 + 5)/(-3 + 8) = -1/5

now, knowing one of the points like (-3, - 6) we can find the value of b.

y(x) = (-1/5)*x + b

y(-3) = -6 = (-1/5)*-3 + b

-6 = 3/5 + b

b = -6 - 3/5 = -33/5

then the first line is:

ya =  (-1/5)*x  -33/5

For the second line, we know that it passes through the points:

(-8, -15) and (-3, -11)

Then the slope is:

a = (-11 - (-15))/(-3 -(-8)) = (-11 + 15)/(-3 + 8) = 4/5

The our line is:

y(x) = (4/5)*x + b

and for b, we do the same as above, using one of the points, for example (-3, -11)

y(-3) = -11 = (4/5)*-3 + b

b = -11 + 12/5 = -(55 + 12)/5 = -43/5

then:

yb = (4/5)*x - 43/5.

Ok, our system of equations is:

ya = (-1/5)*x  -33/5

yb = (4/5)*x - 43/5.

To solve this, we suppose ya = yb

then:

(-1/5)*x + -33/5 = (4/5)*x - 43/5.

-33/5 + 43/5 = (4/5)*x + (1/5)*x

10/5 = 2 = (4/5 + 1/5)*x = x

2 = x

now we evaluate x = 2 in one of the lines:

ya = (-1/5)*2 -33/5 = -2/5 - 33/5 = -35/5 = -7

Then the lines intersect at the point (2, - 7), which is the solution for the system.

(2,7) is the answer

please help real quick ​

Answers

Answer:

B. 945 m^3

Step-by-step explanation:

We just need to find the volume of the big box and the small box and find the difference.

To find the volume of a box, we multiply length, width, and height

Big box:

15.3x7x10=1071

1071

Small box:

4.2x3x10=126

126

1071-126=945

945 m^3

Answer:

b

Step-by-step explanation:

The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0.9). If the
circle intersects the parabola at the parabola's vertex, which statement must be true?

Answers

Answer:

The circle has radius = 9 units, and its equation is:

[tex]x^2+y^2=81[/tex]

The parabola has equation of the form:

[tex]y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number

Step-by-step explanation:

Given the characteristics of the two figures (circle and parabola) as described,

since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;

[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]

Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:

[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number.

Two boxes can hold the same amount of sand. Box 1 is 1/4 filled and box 2 is 2/3 filled. If the sand in box2 is poured into box 1, what is the fraction of box 1 still not filled a.1/12 b.3/7 c.4/7 d.11/12

Answers

Answer:

d.11/12

Step-by-step explanation:

1/4x3=3/12

2/3x4=8/12

3/12+8/12=11/12

The answer should be D hope I helped and good luck

4/3 to the third power as a simplified fraction

Answers

Answer:

64/27

Step-by-step explanation:

(4/3)^3=(4/3)*(4/3)*(4/3)=64/27

Answer:

[tex]2 \frac{10}{27}[/tex]

Step-by-step explanation:

4/3 × 4/3 × 4/3 = 64/27

You can turn it into a mixed number ([tex]2 \frac{10}{27}[/tex]).

Hope that helps and maybe earns a brainliest!

Have a great day! :)

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