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3 years ago

5/10 and 1/6 are equivalent ratios

Mathematics

1 answer:

CaHeK987 [17]3 years ago

3 0

Answer:

1 : 5 2 : 10 3 : 15 4 : 20 5 : 25

Step-by-step explanation:

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Write the exponential function that passes through the points (3, 10) and (5, 40)

tigry1 [53]

Answer:

y = (5/4)2^x

Step-by-step explanation:

The function value increases by a factor of 40/10 = 4 when x increases by 2. The function can be written as ...

y = (reference value)·(growth factor)^((x -reference)/(change in x for growth factor))

y = 10·4^((x-3)/2) . . . . . . using point (3, 10) as a reference

This can be simplified to ...

y = 10·2^(x -3) = 10/8·2^x

y = (5/4)2^x

6 0

3 years ago

Ronald is calculating the time required to fill the swimming pool at school. He found that it takes 8 minutes to fill the swimmi

tester [92]

Answer:

<u>The rate the swimming pool is filled is 9 gallons of water per minute</u>

Step-by-step explanation:

Let's review the information provided by Ronald to us to help him to find the answer to the question:

Time it takes to fill the swimming pool = 8 minutes

Amount of water the swimming pool can hold = 72 gallons

2. At what rate does the swimming pool fill, in gallons per minute?

Rate the swimming pool is filled = Amount of water the swimming pool can hold /Time it takes to fill the swimming pool

Replacing with the real values, we have:

Rate the swimming pool is filled = 72/8 = 9 gallons of water per minute

4 0

3 years ago

1 Select the correct answer. Kalid simplified a polynomial expression as shown. (6x3 + 8x2 − 7x) − (2x2 + 3)(x − 8) step 1 (6x3

Eva8 [605]

Answer:

So, the step1 is correct.

Step-by-step explanation:

The expression is

$(6 x^3 + 8 x^2 - 7 x)-(2x^2 + 3)(x- 8)\\\\(6 x^3 + 8 x^2 - 7 x) - (2x^3 - 16 x^2 + 3 x - 24)\\\\6 x^3 + 8 x^2 - 7 x - 2 x^3 - 16 x^2 + 3 x - 24\\\\4 x^3 - 8 x^2 - 4 x - 24$

So, the step 1 is correct.

3 0

3 years ago

The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b

bazaltina [42]

Answer:

$75.1^{\circ}$

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

$H' = H-h = 452-1.75=450.25 m$

Now we notice that $d$ and $H'$ are the two sides of a right triangle, in which the angle of elevation is $\theta$ . Therefore, we can write the following relationship: