Which expression can be used to find the surface area of the following rectangular prism?

The probability of spinning 'green' on the first spinner and 'blue' on the second spinner can be calculated by multiplying the individual probabilities assuming that they are independent events.

The probability of getting 'green' on the first spinner and 'blue' on the second spinner can be calculated by multiplying the individual probabilities if the two events are independent. If the first spinner has 'g' green out of 't' total possible outcomes and the second spinner has 'b' blue out of 's' total outcomes, the first probability would be 'g/t' and the second one 'b/s'. Hence, the probability of spinning 'green' on the first and 'blue' on the second would be (g/t) * (b/s).

For instance, if the first spinner has 2 green areas out of 10 total (2/10=0.2) and the second spinner has 3 blue areas out of 10 (3/10=0.3), then the probability of spinning 'green' first and 'blue' second would be 0.2*0.3=0.06 or 6%. Remember that the aforementioned explanation assumes that the outcomes from the two spinners are independent, that is, the result from the first does not affect the result from the second.

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The probability of spinning green on the first spinner and blue on the second spinner is 1/9.

To calculate the probability of independent events, we need to multiply the probabilities of each event occurring separately.

Assume the first spinner has equal sections for each color: red, blue, and green.

Thus, the probability of spinning green is 1/3.

Similarly, assume the second spinner has equal sections for each color: red, blue, and green.

Thus, the probability of spinning blue is 1/3.

Since the spins are independent events, the overall probability is calculated by multiplying these probabilities:

P(Green on first) * P(Blue on second) = 1/3 * 1/3 = 1/9

The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.

An expression is combination of variables, numbers and operators.

Dependent variable is something that depends on other factors.

Independent variable is a variable that stands alone and isn't changed by the other variables you are trying to measure.

The color of the light changes in the scenario because a volcano erupts. The light is the independent variable.

When the color of the light changes, the number of light red walking beans will also change. The population of light red walking beans is therefore the dependent variable.

Hence, The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.

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Answer:

The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.

Step-by-step explanation:

Answer:

The volume of the square pyramid is 766.3 in³ approximately.

Step-by-step explanation:

To find the volume of the square pyramid whose perimeter of the base is 44 in and a height of 19 in, we will follow the steps below:

Write down the formula for calculating volume of the square pyramid

v=A(h/3)

where v is the volume, A is the area of the base and h is the height.

From the question given, the perimeter of the base is 44.

If the perimeter of the base is 44, then we can say;

4l = 44

Dividing both-side by 4

l = 11

The length of the base = 11

Area of the base = l² =11² = 121 in²

Als from the question given, height is 19 in.

we can now proceed to plug in our values into the formula

v=A(h/3)

v = 121 (19/3)

v≈766.3 in³ to the nearest tenth.

Therefore, the volume of the square pyramid is 766.3 in³ approximately.

Answer:

C) 20

Step-by-step explanation:

The median is the middle most number of the dataset.

17 18 18 19 20 20 20 20 20 23 23 23 24 25 25

20 is the middle most number. The median is 20.

Answer:

20

Step-by-step explanation:

Median is the middle value

Median position: (15+1)/2 = 16/2

= 8th value

Read in ascending or descending order, 8th value is 20

Answer:

Whichever refrigerator has the HIGHEST temperature will make the hot liquid cool slower and whichever one has the LOWEST temperature will cool the hot liquid faster

Step-by-step explanation:

EXAMPLE: If one is 55 degrees and the other one is 5 degrees, the one that is 5 degrees will cool the hot liquid faster.

Answer:When Gianna placed the two cups in the refrigerators, the liquid placed in refrigerator A was WARMER than the liquid placed in refrigerator B.

The END BEHAVIOR of the two functions implies that refrigerator A is set to a HIGHER temperature than refrigerator B.

Step-by-step explanation:

trust me bro

Step-by-step explanation:

log2 32= log32/log2= log 2^5/log2=5log2/log2=5 (log2=0.3)

log7 1= log1/log7= 0 (log1=0)

log5 625= log625/log5= log5^4/log5= 4log5/log5= 4 (log5=0.69)

Answer:

75 cm³

Step-by-step explanation:

Edge 2020

The volume of the given prism is equivalent to V = a².

Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫∫ F(x, y, z) dx dy dz

Given is to find the volume of the prism that has a square base and height of 3 centimeters.

The volume of a square pyramid is -

V = a²h/3

Now, the base edge length is not given. Assume it to be {a} units. So, we can write -

V = 3a²/3

V = a²

Therefore, the volume of the given prism is equivalent to V = a².

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Answer:

2c =10

Explanation:

2c+1-1=11-1          - Subtract 1 from both sides

2c=10                  - Simplify

If you want the value of x you would divide 2 on both sides and you would get 5. But you asked for 2c that's why I gave you 2c.

 Hoped this helped! :)

Answer:

2c =10

Step-by-step explanation:

~Inosuke Hashibria~

The value of the trigonometric relation cot ( sin⁻¹ ( -1 ) ) = 0

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

A = cot ( sin⁻¹ ( -1 ) )    be equation (1)

On simplifying , we get

The value of ( sin⁻¹ ( -1 ) ) = -π/2

where sin (-θ) = -sin (θ)

So , A = cot ( -π/2 )

From the trigonometric relations ,

cot (-θ) = -cot (θ)

cot ( -π/2 ) = 0

Hence , the trigonometric relation is solved

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Answer:

2x^2+4x-2  =  2 * (x - 1 -[tex]\sqrt{2}[/tex]) * (x - 1 + [tex]\sqrt{2}[/tex])

Step-by-step explanation:

Factor completely 2x^2+4x-2

2x^2+4x-2 =  2* (x^2 + 2x - 1)

x = 1  +  root( 4 - 4*(-1))/2

x = 1 + root(2)

and x = 1 - root(2)

Answer:

9.5

Step-by-step explanation:

Using the pythagorean theorem a^2+b^2=c^2, we can say that 3^2+b^2=10^2.

Simplify and you get 9+b^2=100. Subtract 9 from both sides and you get b^2=91. When you take the square root you get 9.53939... round to the nearest tenth and the missing side is 9.5.

Answer:

B

Step-by-step explanation:

A: 15+7>7

   7+7<15

B: 15+7>9

   15+9>7

   7+9>15

Answer:

Answer:

B

Step-by-step explanation:

A: 15+7>7

  7+7<15

B: 15+7>9

  15+9>7

  7+9>15

Answer:

564 (57/24)2

= 564 · 5.64

= 3,181

Step-by-step explanation:

i think i dont know

Answer:

1479

Step-by-step explanation:

Answer: Because you do many tasks and activities to find your goal/answer. Therefore, similar to an adventure hunt

Step-by-step explanation:

Answer:

D

Step-by-step explanation: On Edge

Answer:

A

Step-by-step explanation:

i know its late for the original post but for people coming after to get the answers its definitely A. i graphed it on desmos

Answer:

C)

Step-by-step explanation:

100/2 = 50 goes in the fifth position of the list

50/2 = 25 goes in the sixth position of the list

And the complete pattern is: 800, 400, 200, 100, 50, 25

Then, every number in the pattern will have a 0 or a 5 in its ones place.

Answer:

He will have $1,664 on his 15th birthday.

Step-by-step explanation:

If he is saving $4 per week for 8 years(15-7=8), and there are 52 weeks in a year, then 8x52=416 weeks. Then 416x4=1,664. Therefore, he will have $1248 dollars by his 15th birthday.

Answer:

1664 Hope this is right

Step-by-step explanation:

You first need to find how many weeks is in a year.

Then multiply how many weeks that are in a year 52 by amount of money per week 4.

You get 208

Before the last step you need to subtract 15-7=8

Multiply 208 times 8 and that's your answer

Answer:

The answer to this question is B

Step-by-step explanation:

Answer:

I think its b) y=2x-3

Step-by-step explanation:

The answers are all in slope-intercept form: y= mx+b. In slope-intercept form m represents the slope and b represents the y-intercept. (Its confusing, I know).

The slope here is 2/1 or 2. Considering rise/run we can see that the line goes up (rise) two (2) points and over (run) one (1).

Now we have y= 2x+b, we just need the y-intercept.

Looking at the y-axis, the line crosses at (0, -3). So the y-intercept is -3!

That gives us y=2x-3

I really hope this helps

Answer: The height of the goalpost is 41.6 feet (to the nearest tenth of a foot)

Step-by-step explanation: The figure shows an observer looking up at a goalpost at an angle of elevation of 61 degrees. The observer is 20 feet away from the base of the goalpost and he is standing 5.5 feet from the ground. This means the total height of the goalpost shall be an addition of the observer's height plus the calculated length of the portion of the goalpost as indicated by the right angled triangle.

We now have a right angled triangle, with one of the other two angles measuring 61 degrees and this shall be the reference angle. The side facing the reference angle is the opposite and is yet unknown. Also, the length from his position to the base of the goalpost is the adjacent (the side that lies between the right angle and one of the other two sides. To calculate the height,

Tan 61 = opposite/adjacent

Tan 61 = opposite/20

Tan 61 x 20 = opposite

1.8041 x 20 = opposite

36.082 = opposite.

Remember that the entire length of the goalpost includes the height of the observer (which is 5.5 ft). The height of the goalpost therefore is

Height = 5.5 + 36.082

Height = 41.582

The height of the goalpost rounded to the nearest tenth of a foot is

41.6 feet

The height of the goal post rounded to the nearest tenth is 41.6 ft

The situation forms a right angle triangle .

The height of the goal post is the height of the person plus the height of the triangle formed.

Therefore, lets find the height of the triangle formed using trigonometric ratios,

tan 61° = opposite / adjacent

tan 61° = h / 20

cross multiply

h = 20 tan 61

h = 20 × 1.80404775527

h = 36.0809551054

Therefore,

height of the goal post = 36.0809551054 + 5.5 = 41.5809551054

height of the goal post ≈ 41.6 ft

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Answer:

Maria

Step-by-step explanation:

If you add all the sick days, Paul is 64 and Maria is 27

Answer:

b

Step-by-step explanation:

Answer:

The ball will return to the ground after 1.25 seconds

Step-by-step explanation:

Given

f(t) = -16t² + 20t

Required

After what time (in seconds) does the ball return to the ground?

Function f(t) is a function of time and it represents the displacement of the ball.

For the ball to return to the ground, it means the displacement is 0.

So, we have f(t) = 0.

Substitute 0 for f(t) in the above, we have

0 = -16t² + 20t ---- Factorize

0 = -4t(4t - 5) ---- Reorder

-4t(4t - 5) = 0

This above expression can be splitted to;

-4t = 0 or 4t - 5 = 0

For -4t = 0,

divide through by -4

This will give t = 0

For 4t - 5 = 0,

Collect like terms

4t = 5 + 0

4t = 5

Divide through by 4

t = 5/4

t = 1.25

So, we have that

t = 0 or t = 1.25

But t can't be 0 because the ball has already traveled some distance.

So, t = 1.25

Hence, the ball will return to the ground after 1.25 seconds

Answer:

its 1.25....

Step-by-step explanation:

on edge, thank me later

I think it is 14, I’m not sure tho

Answer:

1/3 of the book she needs to read

Step-by-step explanation:

divide by 2 on both sides.

3/2

x=1.5

Answer:

1.5850

Step-by-step explanation:

It was simple really

Answer:

200 ft below sea level

Step-by-step explanation:

40•5= 200

The answer for the label on the cone below that represents the radius is A

Step-by-step explanation:

the answer should be B cause the radius is the line that goes threw the middle