Use a net to find the area of the entire surface of the solid.​


A rectangular prism made of unit cubes. The length is 5 unit cubes, width 4 unit cubes, height 3 unit cubes.


The surface area of the prism is

square units.

Answer:

Step-by-step explanation:

The probability that a car is blue is the likelihood of the car being blue

The probability that a car is, in fact, blue when the witness reports it as blue is 12%

The given parameters are:

P(Blue) = 15%

P(Accurate) = 80%

The probability that a car is blue, and the observation is accurate is calculated as:

P(Blue and Accurate) = P(Blue) * P(Accurate)

This gives

P(Blue and Accurate) = 15% * 80%

Evaluate the product

P(Blue and Accurate) = 12%

Hence, the probability that a car is, in fact, blue when the witness reports it as blue is 12%

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The deductible is the amount one pays towards the auto insurance

The complete statement is: a lower auto insurance deductible usually means a higher premium

When an insured loss or disaster happens, the amount one pay towards the loss is referred to as the deductible

As a general rule, the more the deductible, the lower the premium; and vice versa.

This means that: a lower auto insurance deductible usually means a higher premium

Hence, the text that completes the statement is premium

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Answer:

9.852

Step-by-step explanation:

First, Graph all three functions and find where they intersect and the shape that they make through their intersection. Note that since the shape does not touch the y= -1 line, we will use the "washer" method (where the volume equals  [tex]\pi\int\limits^a_b {R(x)\x^{2} - r(x)^{2} } \, dx[/tex].

The next step is to find a and b. Since the function that the area is going to be rotated about is a " y =" equations, the boundaries will be the x coordinates where the three functions intersect, b=1 for (1,1) and a=3 for (3,1).

Next we have to find R(x) and r(x). In this case, R(x) is the difference between the function furthest away from the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top), and r(x) is the difference between the function closest to the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top.

For this problem R(x) = 1 - (-1) and r(x) = 1/x - (-1) since when you look at the graph, Y = 1  is further from y = -1 than y = 1/x is, and both functions are on top of y = -1.

Finally plug in R(x) and r(x) and solve either using a calculator or through integration. If you solve through integration you should get [tex]\pi (-2ln(3) + \frac{16}{3} )[/tex].

Answer: Length = 9 in

Width = 12 in

Step-by-step explanation:

Length L = 3 + W

Perimeter P = 42 in

Perimeter = 2L + 2W

plugin values:

42 = 2(3 + W) + 2W

42 = 6 + 2W + 2W

42-6 = 4W

W = 36 / 4

W = 9  

solve L by substituting the value of W=9 into the equation:

L = 3 + W

L = 3 + 9

L = 12

therefore, the dimensions of the rectangle:

               Length = 9 in

               Width = 12 in

Answer:

Answer:

length = 9 in

width = 12 in

Step-by-step explanation:

You have to use the formula for the perimeter of a rectangle

P=2(l+w)

Answer:

12 meters

Step-by-step explanation:

You have to use the inverse of the pythagorean theorem to do this so you do square root of (20x20-16x16) which is 12

Answer:

1,600

Step-by-step explanation:

I did a bit of guessing becuase I don't know the exact way to reverse the formula, but here is what I did!

I guessed around 1,550 at first, but it was too low. I kept increasing the base number until I reached 1,600, and came to the conclusion by doing the equation;

1,600(0.6)=960

Then, since it increases each month by 60% of the previous month's value, you do

1,600+960=2,560

Answer:

18.2%

Step-by-step explanation:

For this, you want to take the amount of 70 year old men that will die in the next 10 years and divide it by the total amount of men.

The table states "number out of 1,000 men" so this means there are 1000 total men in this study.

So:

182/1000 = 0.182 = 18.2%

The semi-annual net cash flow that the company must achieve in order for the purchase to be made is $5041.

Maximum amount that can be invested = $32348.

Less: Present value of salvage value = $5927

Present value of cash inflow = $32348 - $5927 = $26421.

Net cash flow will be:

= $26421 / PV factor

= $26421/5.242

= $5041

In conclusion, the correct option is $5041.

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Answer:

V = V0 e^-k t     where V is the value of the car and t the time in years

ln (V/V0) = - k t

k = -1/4 ln (96/280) = .268

V = V0 e^-k t = 28000 e^-.268 * 6 = 28000 e^-1.606 = $5621

Answer:

78 is the number

Step-by-step explanation:

(65*6)÷5 = 78.

5/6 of a number is 65.

And the number is 78.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

A phrase: 5/6 of a number is 65.

To find the number:

Let the number be n.

Applying multiplication operation,

5/6 of n is 65.

(5/6)n = 65.

Applying cross multiplication,

n = 65 x 6/5

n = 390/5

n = 78.

Therefore, the number is 78.

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Answer:

5.60 pounds each

Step-by-step explanation:

This is the dry mixture problem.

Let x = the number of pounds of the first type of candy

Therefore, number of pounds of second type of candy = 10-x

Value of first candy + value of second candy = value of mixture

Value of any candy = cost per pound of candy * weight of candy

Thus:

4x + 6(10 - x) = 5.60(10)

4x + 60 - 6x = 56

-2x + 60 = 56

-2x = -4

x = -4/-2

x = 2

Therefore, the number of pounds of first type of candy = 2 pounds

The number of pounds of second type of candy = 10 - 2 = 8 pounds

Check

$4(2) + $6(8) =

           8 + 48 = $5.60(10)

               $56 = $56

Answer:

m = -1/9

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Area=LxW

so, Area=11x5

=55

Answeri think its 55

Step-by-step explanation:

you have to multiply 5x11 and thats 55 which is simple becaused i suck at explaining stuff

The equation represents the value of the collection after 2 years is V = 140(1 + 0.15)^2.

When the value of an asset appreciates,it means that the price of the item increases with the passage of time.

The formula for calculating future value with appreciation is:

FV = P (1 + r)^n

V = 140(1 + 0.15)^2.

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Answer:

Step-by-step explanation:

V=140(1+0.15)

2

Answer:

33.15

Step-by-step explanation:

65% is 0.65

102/2=51

0.65*51=33.15 which is the answer

Answer: 19 and 14

Step-by-step explanation:

19-14 = 5

19x14 =266

Answer:

  442 ft²

Step-by-step explanation:

The amount of insulation needed is the amount that covers the area of the side walls and the ceiling. The area of the side walls is the product of the perimeter and height. The area of the ceiling is the product of length and width.

__

Lateral area = Ph = 2(L+W)h = 2(15 ft +8 ft)(7 ft) = 322 ft²

Ceiling area = LW = (15 ft)(8 ft) = 120 ft²

__

Insulation needed = lateral area + ceiling area = 322 ft² +120 ft²

Insulation needed = 442 ft²

Answer: 55.20$

Step-by-step explanation:

1. Add up 35% with the 15% since Mario is paying for it

2. Multiply 120(the cost without any discount/tax) with the new discount percentage

3. Now with the answer from multiplying subtract it from 120.

4. With the answer, multiply the tax percentage(0.08)

5. Now add It to the discounted price.

6. Round it to the nearest hundredth

Answer:

hello

15 x 0.4 = 6

6 sunflower

Step-by-step explanation:

Answer:

6 of them have sprouted

Step-by-step explanation:

(15/100)x40

0.15x40

6

Answer:

-1/2

Step-by-step explanation:

2/5 * - 3/7 - 1/14 - 3/7 * 3/5

= - 6/35 - 1/14 - 9/35

= - (6*2)/(35*2) - (1*5)/(15*5) - (9*2)/(35*2)

= - 12/70 - 5/70 - 18/70

= (-12 - 5 - 18)/70

=- 35/70

= - 1/2

Answer :D

A (or) 5 * 3= 15

Question explanation:

5 pears.

3 pieces

[tex](1 * 3) + (1 * 3) + (1 * 3) + (1 * 3) + (1 * 3)[/tex]

Which is:

[tex](3) * (3) * (3) * (3) * (3)[/tex]

Which, simplified:

[tex]3 * 5[/tex]

Which equals:

[tex]3 * 5 = 15[/tex]

Hope this helps :)  - Answered by Lilo

Answer:

The answer is 9.

Step-by-step explanation:

1/2 * 12 = 6

6+3=9

Answer:

9

Step-by-step explanation:

x = 12

1/2 · 12 = 6

6 + 3 = 9

Answer:

x = 15

Step-by-step explanation:

the easiest way to do this is 5 times 3 and with that we get 15 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

answer: x = 15

explanation in picture

Answer:

[tex]\sf (x+2)^2+(y-2)^2=2[/tex]

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

[tex]\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)[/tex]

             [tex]\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)[/tex]

             [tex]\sf =(-2, 2)[/tex]

Equation of a circle:   [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center and r is the radius)

Substituting found center (-2, 2) into the equation of a circle:

[tex]\sf \implies (x-(-2))^2+(y-2)^2=r^2[/tex]

[tex]\sf \implies (x+2)^2+(y-2)^2=r^2[/tex]

To find [tex]\sf r^2[/tex], simply substitute one of the points into the equation and solve:

[tex]\sf \implies (-3+2)^2+(1-2)^2=r^2[/tex]

[tex]\sf \implies 1+1=r^2[/tex]

[tex]\sf \implies r^2=2[/tex]

Therefore, the equation of the circle is:

[tex]\sf (x+2)^2+(y-2)^2=2[/tex]

Answer:

none of the above

Step-by-step explanation:

Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4. We are told the sum of x, x+2, and x+4 is equal to 72.

x + (x + 2) + (x + 4) = 72

3x + 6 = 72

3x = 66

x = 22.

This means that the integers are 22, 24, and 26. The question asks us for the product of these numbers, which is 22(24)(26) = 13728.

The answer is 13728.

Answer:

option b

Step-by-step explanation:

It is option b

Your answer is 4(x+1)²

Answer:

B

Step-by-step explanation:

Given functions:

[tex](f \circ g)(x) & =f[g(x)][/tex]

This means substitute the x of f(x) with the function g(x).

[tex]\implies f[g(x)]=4(x+1)^2[/tex]

Answer:

491 red apples

Step-by-step explanation:

1/6 are apples

then 5/6 are oranges

red apples = green apples + 291

there are 3455 oranges

total amount of fruits is :

3455 / (5/6) = (3455 x 6)/5 = 4146

4146 - 3455 = 691 apples ( total )

so red + green = 691

and red - green = 291

add the two equations

red + red + green - green = 691 + 291

2red = 982

red = 982 / 2 = 491 red apples

green = 691 - 491 = 200 green apples

so red is 291 more than green

then red = 491

The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.

volume = πr²h

where

Therefore,

volume = 500π cm³

r = 5 cm

Therefore,

volume of the cylinder = πr²h

500π = 5²πh

500π = 25πh

divide both sides by 25π

500π / 25π = 25πh / 25π

h = 20 cm

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Answer:

A) 20 cm

Step-by-step explanation: