Step by step on how to do this plz

Step By Step On How To Do This Plz

Answers

Answer 1

Answer:

Rational, irrational, irrational

Step-by-step explanation:

A) sqrt(16)=4 which is rational

B) and C) are both irrational

Answer 2

Answer:

they are all irrational numbers but unfortunately I can't go step by step please excluding the square root of 16


Related Questions

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

In which of the following cases would the quantity 'q' decrease proportionally when the quantity 'p' is increased?
a) P = 3 x q
b) p-3=q
c) p=3/q
d) 1/p=3/q​
Please give me the correct answer along with the explanation and I shall mark you as the brainliest. Please answer ASAP, it's urgent

Answers

Answer:

c) p = 3/q

Step-by-step explanation:

If 3 is divided by a smaller number "q", then it would result in a larger number "p".

Example:

1. Substitute 3 for "q"

3/3 = 1

q = 3

p = 1

2. Substitute 1 for "q"

3/1 = 3

q = 1

p = 3

When "q" decreased, "p" increased.

Step-by-step explanation:

c) p=3/q

i can confirm after 10.30

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

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]



Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angles complement?

Answers

Answer:

In a right triangle, the sine of one acute angle, A, equals the cosine of the other acute angle, B. Since the measures of these acute angles of a right triangle add to 90º, we know these acute angles are complementary. ∠A is the complement of ∠B, and ∠B is the complement of ∠A.

Step-by-step explanation:

is there any answer choices i can see? :)

Find RS. A. 5 B. 10 C. 9 D. 12

Answers

Answer:

x=9

Step-by-step explanation:

PQ + QR + RS = PS

2x-6 + 1 + x-4 = 18

Combine like terms

3x -9 = 18

Add 9 to each side

3x-9+9= 18-9

3x = 27

Divide by 3

3x/3 = 27/3

x = 9

Answer:

RS=5

Step-by-step explanation:

solve for x:

2x-6+1+x-4 = 18

combine like terms

3x-9=18

subtract both sides to make x isolated

3x=27

divide by 3 to get x

x=9

RS=x-4

RS=9-4

RS=5

if
[tex] \sqrt{5} x = \sqrt{3} x + \sqrt{7} [/tex]
find the value of x in the form
[tex] \sqrt{ \frac{a}{b} } [/tex]

Answers

Answer:

[tex]$x=\sqrt{\frac{7(4+\sqrt{15})}{2}} $[/tex]

Step-by-step explanation:

From the way it is written, the [tex]x[/tex] is outside the square root. I will rewrite it as:

[tex]x\sqrt{5} =x\sqrt{3} +\sqrt{7}[/tex]

[tex]x\sqrt{5}-x\sqrt{3}=\sqrt{7}[/tex]

[tex]x(\sqrt{5} - \sqrt{3} )=\sqrt{7}[/tex]

[tex]$x= \frac{\sqrt{7} }{\sqrt{5} - \sqrt{3}} \implies \frac{\sqrt{7}(\sqrt{5} + \sqrt{3}) }{2} $[/tex]

[tex]$x=\frac{1}{2} \sqrt{7} (\sqrt{5} + \sqrt{3} )$[/tex]

[tex]$x=\frac{\sqrt{35}}{2} +\frac{ \sqrt{21}}{2} $[/tex]

[tex]$x=\frac{\sqrt{35}+\sqrt{21}}{2} $[/tex]

Multiply denominator and numerator by 3

[tex]$x=\frac{3\sqrt{35}+3 \sqrt{21}}{6} $[/tex]

Factor [tex]\sqrt{3}[/tex]

[tex]\sqrt{3} (\sqrt{105}+3 \sqrt{7})[/tex]

[tex]$x=\frac{\sqrt{3} (\sqrt{105}+3 \sqrt{7})}{6} $[/tex]

Divide denominator and numerator by [tex]\sqrt{3}[/tex]

[tex]$x=\frac{\sqrt{105}+3 \sqrt{7}}{2\sqrt{3} } $[/tex]

Let's rewrite it again

[tex]$x=\frac{\sqrt{ (\sqrt{105}+3 \sqrt{7})^2}}{\sqrt{12} } $[/tex]

[tex]$x=\sqrt{ \frac{1}{12} \cdot (\sqrt{105}+3 \sqrt{7})^2}$[/tex]

It is already in the form [tex]$\sqrt{\frac{a}{b} } $[/tex]

Expanding the perfect square, we have

[tex]63+42\sqrt{15}+105[/tex]

[tex]$\frac{63}{12} +\frac{42\sqrt{15}}{12} +\frac{105}{12} $[/tex]

[tex]$\frac{21}{4} +\frac{7\sqrt{15}}{2} +\frac{35}{4} $[/tex]

Factor [tex]$\frac{7}{2} $[/tex]

[tex]$\frac{7}{2} (4+\sqrt{15} )$[/tex]

Therefore,

[tex]$x=\sqrt{\frac{7}{2} \left(4+\sqrt{15} \right)} $[/tex]

[tex]$x=\sqrt{\frac{7(4+\sqrt{15})}{2}} $[/tex]

x= 7/4 x 25/6 is the answer

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:

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)

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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

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

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)

what number would you subtract from each side of inquality to solve y+3/8>16​

Answers

Answer: I would subtract 3/8 from both sides

Explanation:

y + 3/8 > 16
y > 16 - 3/8 (subtract 3/8 from both side)
y > 128/8 - 3/8
y > 125/8

Answer:

[tex]y > 125[/tex]

Step-by-step explanation:

[tex]y + \frac{3}{8} > 16 \\ y > 16 - \frac{3}{8} [/tex]

[tex]y > (16 \times 8) - ( \frac{3}{8} \times 8) [/tex]

[tex]y > 128 - 3[/tex]

[tex]y > 125[/tex]

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.

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!

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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Please help me! I will give brainly!

Asapppppp

Answers

Answer:

20

Step-by-step explanation:

I believe it's 20 because you multiply 20 . with 60 and 80 and it will give 1200 and 1800.

Answer:

It should be 20

Step-by-step explanation:

The question is asking multiply the serving by __ to find amount of pretzels.

Be careful what is the question is asking.

30*20=600

60*20=1200

90*20=1800

and continue on...

Pls give brainliest

HELP ASAP PLZZZZZZZ If the side lengths of a cube are 15 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?

15 ⋅ 15 ⋅ 15
15 ⋅ 3
315
153

Answers

Answer:

D

Step-by-step explanation:

It's a guess because none of them look like the exponential form. However, I think D is probably the answer you want.

On this site it should be written as C = 15^3.

The correct anwser is D

Figure ABCD has verticies A(-3, 2) B(2, 2) C(2, -4) D(-3, -2). What was the area of Figure ABCD.

Answers

Okay so A is 5 units down from B and B is 6 unit horizontally away from C so 5 times 6 is 30 so the area of figure ABCD is 30 units
The answer is 30. Give the person above brainiest. This person explained it well

Question 8(Multiple Choice Worth 1 points)
(06.05 MC)
A paper cup is dropped and its landing position is recorded. The cup can land on the side, on the open end, or on the closed end. The results of 20 trials are shown in the table below:
Paper Cup Experiment
# of times occurred
Open
HT III
Closed
Side
HT III
Based on the table, which of the following best compares the experimental probability of the cup landing on its open end with the experimental probability of the cup landing on its closed end?
The probabilities are equal.
The probability of landing on the open end is greater.
The probability of landing on the closed end is greater.
O No conclusion can be made.

Answers

Table Given in the question :

Open = HT 111 = 8

Side = 1111 = 4

Side = HT 111 = 8

Answer:

The probability of landing on the open end is greater.

Step-by-step explanation:

Given the experimental probability distribution :

Open = HT 111 = 8

Side = 1111 = 4

Side = HT 111 = 8

The experimental probability is the ratio of the number of times an event occurs and the total number of trials.

P(A) = number of times A occurs / total number of trials

Where A is defined event.

COMPARING the probabilities of open and closed events

P(open) = 8 / 20 = 2 / 5

P(closed) = 4 / 20 = 1/5

2/5 > 1/5

P(open) > P(closed)

2+2=4 yea yea that’s fine

What is the value of x that makes L1 || L2? please help!! A. 18 B. 12 C. 10 D. 6

Answers

Answer:

x = 18

Step-by-step explanation:

Because the 2 lines are parallel we can use same side interior theorem to find  x

This would mean the equation is 6x + 30 + 2x + 6 = 180

When you solve that this would be 18

Answer:

x = 18

Step-by-step explanation:

→ Utilise the fact that interior angles add up to 180

6x + 30 + 2x + 6 = 180

→ Simplify

8x + 36 = 180

→ Minus 36 from both sides to isolate 8x

8x = 144

→ Divide both sides by 8 to isolate x

x = 18

A graph is shown. The x-axis is labeled from 0 to 9 and the y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars. What is the constant of proportionality?

Answers

Answer:

Heres the graph:

Step-by-step explanation:

Constant is $2 dollars per bag od candy or just 2.

Answer:

2

Step-by-step explanation:

from (0,0) ⇒ (1,2) ⇒ (2,4) ⇒ (3,6)

∴ 2

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.

Help pls! Will give brainliest to first person who answers correct

Answers

Answer:

a) x greater than or equal to 10

b) x = 9

Step-by-step explanation:

a)

[tex]x + 5 \geqslant 15 \\ x \geqslant 15 - 5 \\ x \geqslant 10[/tex]

b)

[tex]2x < 18 \\ x = \frac{18}{2} \\ x = 9[/tex]

Tamara walked 3/4 mile in 1/2 hour. Which of the following represents the unit rate that Tamara walked? A. 1/2 mi/h B. 2/3 mi/h C. 3/4 mi/h D. 1 1/2 mi/h Include ALL work please!

Answers

Answer:

1 1/2 miles / hour

Step-by-step explanation:

We want distance / time

3/4 miles

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

1/2 hour

3/4 ÷ 1/2

Copy dot flip

3/4 * 2/1

3/2

1 1/2 miles / hour

Answer:

D

Step-by-step explanation:

Multiple (3/4)  by 2 to find the information for one hour)

6/4 in one hour

3/2 or 1 + 1/2 mi/h

D is the answer

Find the measure of the remote exterior angle. m∠x=(4n−18)°m∠y=(n+9)°m∠z=(151−5n)° A. 71 B. 16 C. 100 D. 46

Answers

Answer: A.71

Step-by-step explanation: 1.set up the equation

2. 4n-18+n+9=151-5n

3.combine like terms ->  5n-9=151-5n

4.solve for n

5.10n=160

n=16

now you have to plug 16 in for n in order to get the remote exterior angle.

151-5(16)

151-80

71°

The sum of any two interior angle is equal to the third exterior angle. The value of n will be 16°. Then the correct option is B.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle having the interior angle x and y, and z is the exterior angle of triangle.

m∠x = (4n − 18)°, m∠y = (n + 9)°, and m∠z = (151 − 5n)°

Then the value of n will be

We know that the sum of any two interior angle is equal to the third exterior angle. Then we have

∠x + ∠y = ∠z

4n - 18 + n + 9 = 151 - 5n

10n = 160

n = 16°

Then the correct option is B.

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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.

*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:

https://brainly.com/question/22312172

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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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