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sergiy2304 [10]
2 years ago
15

A middle school student is 60 inches tall. he expects to grow 2/3 of and inch each month in the upcoming months. this can be rep

resented as H(M)=60+2/3M. what does H(4) represent?
A: the total number of inches grown
B: the number of inches grown per month
C: the height after four months of growth
D: none of these
Mathematics
1 answer:
Furkat [3]2 years ago
6 0
The answer is C, because H is height, and M is month, so H(4) is the height grown over four months.
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A room can just store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases o
Vladimir79 [104]

Answer:

2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

Step-by-step explanation:

Let the case of soya beans drink be x and let the case of fruit juice be y

We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.

This means that;

10x + 8y = 4x + 11y

Rearranging, we have;

10x - 4x = 11y - 8y

6x = 3y

Thus;

y = 6x/3

y = 2x

This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

8 0
3 years ago
Which equation is a direct variation function?<br><br> y = 4<br> y = 1/3x+ 4<br> y = x<br> y = x3
Aleks04 [339]

Answer:

y=4

Step-by-step explanation:

its asking which one you can answer without any more context, in this case its y=4 because all the other ones evolving x lead to a rabbit hole and will take you in circles.

8 0
2 years ago
Read 2 more answers
Use the cosine ratio or the inverse cosine to solve for x. Round your answer to the nearest tenth.
maria [59]

Answer:

x ≈ 12.6 m

Step-by-step explanation:

By using cosine ratio in the given right triangle RTS,

cos(S)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(33)° = \frac{\text{ST}}{\text{SR}}

cos(33)° = \frac{x}{15}

x = 15.cos(33)°

x = 12.58

x ≈ 12.6 m

Therefore, measure of side ST = 12.6 m is the answer.

7 0
3 years ago
Rafael races his bicycle for
pychu [463]
Distance traveled = 70 m
Number of rotations = 29

We know, Circumference * Number of rotations = Distance traveled
So, C = 70 / 29
C = 2.41 m

Now, we know, diameter = C / π
So, d = 2.41/3.14 = 0.768

In short, Your Answer would be: 0.8 m

Hope this helps!
6 0
3 years ago
Read 2 more answers
The Demand function for a product is given by:
VikaD [51]

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b) - f(a)}{b - a}

In this question:

D(q) = -0.0003q^2 - 0.04q + 23.56

What is the average rate of change of Demand between 40 and 175 units sold?

a = 40, b = 175. So

D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48

D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725

So

A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

3 0
3 years ago
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