Analyze the diagram below and complete the instructions that follow.

Given that the two rectangular prisms are similar, find the scale factor and the ratio of their surface areas.​

Answer:

Step-by-step explanation:

volume =πr²h=π×7²×17≈2616.9 cm³

The volume of a cylinder is 2616.95 cubic centimeters.

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

The height of the cylinder h = 17 cm

Base radius of the cylinder r = 7 cm

We know the volume of a cylinder is given by:

[tex]\rm V = \pi r^2h[/tex]

[tex]\rm V = \pi\times 7^2\times17[/tex]

V = 833π cubic centimeters

V = 833×3.141592

V = 2616.94668 cubic centimeters or

V = 2616.95 cubic centimeters.

Thus, the volume of a cylinder is 2616.95 cubic centimeters.

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Answer: v = 3t^2, -e^-t ;

Speed = √ 9t^4 + (-e^-t)^2 ;

a(t) = 6t, e^-t

Step-by-step explanation:

Given the position function at time 't' for t greater than or equal to 0:

r(t) = (9,t^3, e^-t)

The Velocity of 'v' is the first derivative of r with respect to 't' :

d/dt(9) = 0

d/dt(t^3) = 3t^3-1 = 3t^2

y = (e^-t) =

Using chain rule :

Let u = -t

y = e^u ; dy/du = e^u

du/dt = -1 ;

Therefore dy/dt = dy/du * du/dt

dy/dt = -1 * e^u ; -e^u ; u = -t

dy/dt = -e^-t

Therefore,

v = 3t^2, -e^-t

The magnitude of velocity 'v ' = speed

Speed = √v1^2 + v2^2

Speed = √(3t^2)^2 + (-e^-t)^2

Speed = √ 9t^4 + (-e^-t)^2

Acceleration(a) = derivative of velocity

d/dt(3t^2) = 6t

d/dt (-e^-t) :

Using chain rule :

dy/dt = -e^-t

Let u = -t ; du/dt = -1

-e^u ; dy/du = -e^u

Therefore, dy/dt = -1 * -e^u

u = -t

dy/dt = e^-t

Therefore, acceleration:

a(t) = 6t, e^-t

Answer:

5

hope your like this a swer

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pls mark me as BRAINLIEST

Answer:

5

Step-by-step explanation:

If you have 2 of something and then you get 3 more of the same thing, you can use your fingers to count how much you have in total now, which is 5.

Answer:

V = 251.3 cm³

Step-by-step explanation:

Diameter  8 cm

Radius = 4 cm

Height = 5 cm

Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]

Where r = 4 cm, h = 5 cm

V = (3.14)(4)²(5)

V = (3.14)(16)(5)

V = 251.3 cm³

Answer:

251.3 cm³

Step-by-step explanation:

The diameter is 8 cm

So the radius is 8/2 = 4 cm

The height is 5 cm

Volume of tin can:

[tex]\pi r^2 h[/tex]

r = 4 & h = 5

[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]

Answer:

when you wrote question there will be pin sign then you will attach any image   easily

Step-by-step explanation:

Answer:

Its the triangle one

Step-by-step explanation:

Just count them and you will see there are only 7 not 8 :)    

Answer:

A

Step-by-step explanation:

AA stands for angle angle.

For the two triangles given being similar by AA, they should have two equal angles. Of course, once two angles are equal the third one will be equal as well, once the angles of a triangle always add up to 180º.

Therefore, the angle ∠NMO and ∠QPR should be equal.

Answer:

y-5=5/4(x-1)

Step-by-step explanation:

the slope is 1.25

m=y2-y1/x2-x1=10-5/5-1=5/4=1.25

y-5=(5)/(4)(x-1)=

y=(5)/(4)x+(15)/(4) this one is linear

it is a linear function and the

Answer:

16 tricycles

Step-by-step explanation:

First, let's make a chart:

Bicycles- x bicycles and 2x wheels

tricycles- y tricycles and 3x wheels

Four wheeled vehicles- 2 bikes (given), 8 wheels

Since the total amout of bikes is 40, that means that x+y+8=40

You can simplify that to x+y=38.

now, we're going to form another equations dealing with the number of wheels.

Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92

Solve the system of equations:

2x+3y=92

x+y=38

y will be 16

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Standard form is f(x) = ax² + bx + c.

f(x) = -(x - 4)² + 2

= -(x² - 8x + 16) + 2

= -x² + 8x - 16 + 2

= -x² + 8x - 14

Hi,

the correct answer is C

This is the correct equation: f(x) = -x^2 + 8x - 14

XD

P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)

Answer:

80%

Step-by-step explanation:

100/15=6 2/3

12*6 2/3 = 80

80 percent increase

Answer:

solution,

Old price (P1)=$15

New price(P2)=$27

percent increase:

[tex]( \frac{p2 - p1}{p1} ) \times 100 \: percent \\ = ( \frac{27 - 15}{15} ) \times 100 \: percent \\ = ( \frac{12}{15} ) \times 100 \: percent \\ = 80 \: percent[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

D.

Step-by-step explanation:

" Sum" means "+".

The sum of the number of dogs and the 6 cats.

d + 6

Answer:

Option D

Step-by-step explanation:

Sum is Adding (+)

So,

The expression becomes

=> d+6

Answer:

The sum of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that ½+√2 is irrational.

Step-by-step explanation:

Answer:

sales tax rate = 4%

Step-by-step explanation:

In this problem formula to express one term in percentage is used

To express x as percentage of y is given by (x/y*100) %

______________________________________________

Cost of item = $480

sales tax = $19.20

we have to find sales tax rate.

sales tax rate is percentage of cost price which will levied as tax .

thus, we have to find sales tax as percentage of cost price.

using the percentage cost as given above

sales tax as percentage = sales tax/ cost of item *100

sales tax as percentage = 19.20/480 *100 = 4%

Thus, sales tax rate is 4%.

It means that if cost price of item is $100 then $4 will be the sales tax for the item.

Answer:

x+y:

16<x+y<19

y-x:

3<y-x<6

xy:

60<xy<84

y/x:

10/7<y/x<2

Step-by-step explanation:

For x+y, it'll be

  6<x<7

+

  10<y<12

=16<x+y<19

____

y-x:

  10<y<12

--

  6<x<7

because of the negative sign the x inequality is reversed so it is -7<x<-6

and then you do the math and get 3<y-x<5

________

xy:

   10<y<12

x

   6<x<7

you multiply and get 60<xy<84

________

y/x:

  10<y<12

divided by

  6<x<7

now what you do is you have to switch around the signs for the x inequality and everything becomes its reciprocal. So the x inequality becomes 1/7<1/x<1/6 and then you multiply and get 10/7<y/x<12/6

Please give me a brainliest award. This took so long. I hope this helped.

Inequalities are used to make non-equal comparisons between two expressions. The inequality signs are: [tex]\ne, >, <, \ge, \le[/tex].

The solutions and possible values to the inequalities are:

[tex]16 < x + y < 19[/tex]  [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]

[tex]4 < y - x < 5[/tex]  [tex]\to[/tex]   [tex]y - x = \{4.5, ...,4.9\}[/tex]

[tex]60 < xy < 84[/tex]   [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]  [tex]\to[/tex]  [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

Given that:

[tex]6 < x < 7[/tex] and [tex]10 < y < 12[/tex]

To calculate the possible values of [tex]x + y[/tex], we simply add both inequalities; i.e.

[tex](6 < x < 7) + (10 < y < 12)[/tex]

This gives:

[tex]6 + 10 < x + y < 7 + 12[/tex]

[tex]16 < x + y < 19[/tex]

This means that the possible values of [tex]x + y[/tex] are between 16 and 19 (both exclusive). So, some possible values are:

[tex]x + y= \{17,18\}[/tex]

To calculate the possible values of [tex]y - x[/tex], we simply subtract the inequality of x from y; i.e.

[tex](10 < y < 12) - (6 < x < 7)[/tex]

This gives:

[tex]10 - 6 < y - x < 12 - 7[/tex]

[tex]4 < y - x < 5[/tex]

This means that the possible values of [tex]y - x[/tex] are between 4 and 5 (both exclusive). So, some possible values are:

[tex]y - x = \{4.5, ...,4.9\}[/tex]

To calculate the possible values of [tex]xy[/tex], we simply multiply both inequalities. i.e.

[tex](6 < x < 7) \times (10 < y < 12)[/tex]  

This gives:

[tex]6 \times 10 < x \times y < 7 \times 12[/tex]

[tex]60 < x \times y < 84[/tex]

[tex]60 < xy < 84[/tex]

This means that the possible values of [tex]xy[/tex] are between 60 and 84 (both exclusive). So, some possible values are:

[tex]xy = \{61,62,...83\}[/tex]

To calculate the possible values of [tex]\frac{y}{x}[/tex], we simply divide the inequality of y by x. i.e.

[tex](10 < y < 12) \div (6 < x < 7)[/tex]

This gives:

[tex]\frac{10}{6} < \frac{y}{x} < \frac{12}{7}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]

This means that the possible values of [tex]\frac{y}{x}[/tex] are between 1.67 and 1.71 (both exclusive). So, some possible values are:

[tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

Hence, the solutions and possible values to the inequalities are:

[tex]16 < x + y < 19[/tex]  [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]

[tex]4 < y - x < 5[/tex]  [tex]\to[/tex]   [tex]y - x = \{4.5, 4.9...\}[/tex]

[tex]60 < xy < 84[/tex]   [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]  [tex]\to[/tex]  [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

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Answer:

19 units

Step-by-step explanation:

In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units

The length of the side TU of the parallelogram is 19 units long.

A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.

In the question, we are given a parallelogram STUV.

The length of the side TU is given as x + 10.

The length of the side VS is given as 3x - 8.

As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.

∴ TU = SV

or, x + 10 = 3x - 8

or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)

or, -2x + 10 = -8 (Simplifying)

or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)

or, -2x = -18 (Simplifying)

or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)

or, x = 9 (Simplifying).

Now, TU = x + 10 = 9 + 10 = 19.

∴ The length of the side TU of the parallelogram is 19 units long.

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Answer:

7, with shaded dot (I hope this helps you)

Explanation:

Answer:

B 267.9

Step-by-step explanation:

the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9

Answer: D. FL | GK

Step-by-step explanation:

Assuming that it's a cube made of up line segments, you know that line FL and line GK are parallel because they will never intersect or meet.

Answer:

Hi ,

Cube of a number :

_______________

For a given number x we define cube

of x = x × x × x , denoted by x^3.

A given Natural number is a perfect

Cube if it can be expressed as the

product of triplets of equal factors.

Now ,

Write given number as product of

prime .

8788 = 2 × 4394

= 2 × 2 × 2197

= 2 × 2 × 13 × 169

= 2 × 2 × 13 × 13 × 13

= 2 × 2 × ( 13 × 13 × 13 )

Here we have only triplet of equal

factors i.e 13

To make 8788 into perfect Cube we

have multiply with 2.

Now ,

2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )

17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect

Cube

I hope this will useful to you.

Answer:

Answer: Option A F(x)=

Explanation:

Quadratic function is the function which has degree two

Degree is the highest power of a polynomial

In option B we have |x| in which degree is one hence, discarded

In option C we have  in which degree is three hence, discarded

In option D we have x which is a linear function being of degree one. Hence, discarded.

Answer:

D. 6\sqrt{5}-4\sqrt{7}

Step-by-step explanation:

[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}[/tex]

Answer:

D

Step-by-step explanation:

12x + 6y = 24

Subtract 6y on both sides.

12x = 24 - 6y

Divide 12 into both sides.

x = 24/12 - 6/12y

x = 2 - 1/2y

The solution for x in terms of y is x = 2 - (1/2)y

We have,

To solve the equation 12x + 6y = 24 for x, we can isolate x on one side of the equation.

Starting with 12x + 6y = 24, we can subtract 6y from both sides:

12x + 6y - 6y = 24 - 6y

This simplifies to:

12x = 24 - 6y

Next, we divide both sides of the equation by 12 to solve for x:

(12x)/12 = (24 - 6y)/12

This gives us:

x = (24 - 6y)/12

x = 24/12 - 6y/12

x = 2 - (1/2)y

Therefore,

The solution for x in terms of y is x = 2 - (1/2)y

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Answer:

d) y=(x+pi/2)

Step-by-step explanation:

edge 2020 correct & 100%

Answer:

5x + 10 = 10

Step-by-step explanation:

5x + 10 = 10

5x = 10 - 10

5x = 0

x = 0/5

x = 0

Only one solution.

Answer:

d. (x+2)/(-x²-5)

Step-by-step explanation

 ƒ(x) = x + 2/(2x²)

The function is undefined when x =  0.

b. ƒ(x) = (2x + 4)/(3x + 3)

The function is undefined when 3x + 3 = 0, i.e., when x = -1.

c. ƒ(x) = (6x - 5)/(x² - 7)

The function is undefined when x² - 7 = 0, i.e., when x = √7.

d. ƒ(x) = (x+2)/(-x²-5) = -(x+2)/(x² + 5)

The function would be undefined if x² + 5 = 0, i.e., if x² = -5. However, the square of a real number cannot be negative.

This function has no excluded values.

Answer:

The answer is option A.

Step-by-step explanation:

-5x-10 <20

Group like terms

-5x < 20 + 10

-5x < 30

Divide both sides by -5

x > - 6

Hope this helps

Hope this helps

Answer:

B. SAS

Step-by-step explanation:

3/1= 2.25/075

The 2 sides are congruent and the angle between them is common

B. SAS is the answer

Answer [tex]67\leq t\leq 87=15[/tex]

Step-by-step explanation: It's asking for the range so you have to subtract the the lowest temp with the highest temp. The highest temp is 82 and the lowest 67. 82-67 is 15 but they asked you to write it inequality so [tex]67\leq t \leq 87 = 15[/tex]

Answer:

a.) k = 10

b.) x = 20

Step-by-step explanation:

Step 1: Plug in variables and calculate for k

2 = k/5

10 = k

Step 2: Plug in variables and calculate for x

0.5 = 10/x

0.5x = 10

x = 20

Answer:

D

Step-by-step explanation:

the scale factor will be the square of the fraction

7/4 =49/16

Answer:

D

Step-by-step explanation: