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Mama L [17]
4 years ago
9

Last year, there were 43 science projects and this year there are 52 science projects. What is the percent change in the number

of science projects submitted?
Mathematics
1 answer:
LiRa [457]4 years ago
7 0

Answer:

Percentage change in science projects = 20.93%

Step-by-step explanation:

Number of science projects last year = 43

Number of science project this year = 52

Change in science project or increase in science projects over last year

= 52 - 43

= 9

Now percentage increase or percentage change in science projects

= \frac{\text{Number of projects increased over last year}}{\text{Total number projects last year}}\times 100

= \frac{9}{43}\times 100

= 20.93%

Therefore, percentage change in the number of science projects is 20.93%

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16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)
timurjin [86]

Answer:

Yes, because when the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.

Step-by-step explanation:

7 0
3 years ago
(04.02 LC) The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime
andrezito [222]

Answer:

Ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1

Step-by-step explanation:

From the graph attached,

Number of cups of apple juice (A) is proportional to the number of cups of lemon lime soda (L).

A ∝ L

A = kL

Here 'k' is the proportionality constant.

k = \frac{A}{L}

  = \frac{6}{1}

Therefore, ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1.

4 0
4 years ago
Give a power series representation for the function f(x) x^3/(1 + 9x^2)
Nata [24]

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{n\ge0}x^n

Replace x with -9x^2 and we get

\displaystyle\frac1{1-(-9x^2)}=\sum_{n\ge0}(-9x^2)^n=\sum_{n\ge0}(-9)^nx^{2n}

Lastly, multiply this by x^3, so that

\boxed{f(x)=\displaystyle\sum_{n\ge0}(-9)^nx^{2n+3}}

6 0
4 years ago
Convert: 600 miles per hour to km per hour.
sashaice [31]

Answer:

<u>The correct answer is that 600 miles per hour are equivalent to 965.4 kilometers per hour</u>

Step-by-step explanation:

1. Let's check the information given to resolve the question:

Convert 600 miles per hour to kilometers per hour

2. Let's proceed with the conversion:

1 mile per hour = 1.609 kilometers per hour

then:

600 miles per hour = 600 * 1.609 kilometers per hour

600 miles per hour = 965.4 kilometers per hour

<u>The correct answer is that 600 miles per hour are equivalent to 965.4 kilometers per hour</u>

8 0
3 years ago
A trapezoid has a base of 12 inches and 50
Delicious77 [7]

Answer:

Step-by-step explanation:

Givens

b1 = 12

b2 = 50

h = 21

Area = ?

Equation

Area = (b1 + b2) * h / 2

Solution

Area = (12 + 50) * 21 / 2

Area = 62 * 21 / 2

Area = 31 * 21

Area = 651

4 0
3 years ago
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