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Roman55 [17]
2 years ago
5

Please explain this to me step by step. Thanks!

Mathematics
1 answer:
Arlecino [84]2 years ago
5 0

Answer:

Step-by-step explanation:

14) Amount in Harper's school lunch account = $ 75

Cos of one meal = $ 3.25

Cost of 'm' meals = 3.25 * m = 3.25m

Balance amount in Harper's account after getting 'm' meals = $ 19.75

Total amount - Cost of 'm' meals = 19.75

      75 - 3.25m = 19.75

         To find the value of 'm', isolate m. To isolare m subtract 75 from both sides

             -3.25m = 19.75 - 75

             -3.25m  = -55.25

Now divide both sides by (-3.25)

                     m = -55.25/(-3.25)

m = 17

15) Starting height = 24 ft

Height after t seconds = 4.5*t = 4.5t

To see the river, the drone should reach the height atleast 330 ft above the ground. ⇒ It should be at the height greater than or equal to 330 ft

Initial height + height after 't' seconds ≥ 330

24 +  4.5t ≥ 330

Subtract 24 from both sides

          4.5t ≥ 330 - 24

          4.5t ≥ 306

Divide both sides by 4.5

    t ≥ 306/4.5

     t ≥ 68

He will be able to see the river from 68 seconds ( 1 minute 8 seconds)  and above.

No, Imani will not be able to the river after the drone has been raising  for one minute. At 1 minute 8 seconds Imani will start seeing the river. So at one minute, the drone will not have reached the required height .

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anastassius [24]

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Answer:

  245 cm²

Step-by-step explanation:

The surface area of a cone is given by ...

  SA = πr(r +s) . . . . where r is the radius, and s is the slant height

Filling in the given values, we have ...

  SA = (3.14)(3 cm)(3 cm +23 cm) = (3.14)(3)(26) cm² ≈ 245 cm²

The surface area of the cone is about 245 cm².

6 0
2 years ago
Which will result in a difference of squares?
otez555 [7]

Expanding the given expressions using Foil:

1)(–7x + 4)(–7x + 4) =7x^{2}-28x-28x+16=49x^{2}-56x+16

2) (–7x + 4)(4 – 7x)=-28x+49x^{2}+16-28x=49x^{2}-56x+16.

3)(–7x + 4)(–7x – 4)=49x^{2}+28x-28x-16=49x^{2}-16.

4)(–7x + 4)(7x – 4)=49x^{2}+28x+28x-16=49x^{2}+56x-16.

The third option that is (–7x + 4)(–7x – 4) is difference of two squares.

5 0
3 years ago
Read 2 more answers
Find the value of the expression 2x3 + 3y2 − 17 when x = 3 and y = 4. 26 85 943 1,927
Jet001 [13]

Answer:

85

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2x^3 + 3y^2 − 17

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2*27 + 3*16 -17

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4 0
3 years ago
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An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of the rectangul
valentina_108 [34]

Answer:

Part a) Rectangle

Part b) Triangle

Step-by-step explanation:

<u><em>The picture of the question in the attached figure N 1</em></u>

Part A) A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section?

we know that

When a geometric plane slices any right pyramid so that the cut is parallel to the plane of the base, the cross section will have the same shape (but not the same size) as the base, So, in the case of a right rectangular pyramid, the cross section is a rectangle

Part b)  If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section?

we know that

Cross sections perpendicular to the base and through the vertex will be triangles

see  the attached figure N 2 to better understand the problem

5 0
3 years ago
Suppose a population of deer in the state is 10, 289 and is growing 1% each year. Predict the population after 5 years
eimsori [14]

Answer: the population after 5 years is 10814

Step-by-step explanation:

The population growth of the deer is exponential. We would apply the formula for determining exponential growth which is expressed as

A = P(1 + r)^t

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A represents the population after t years.

n represents the period of growth

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 10289

r = 1% = 1/100 = 0.01,

t = 5 years

Therefore,

A = 10289(1 + 0.01)^5

A = 10289(1.01)^5

A = 10814

3 0
3 years ago
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