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tigry1 [53]
3 years ago
13

(40 points) I need some help please. An answer definition is appreciated as well.

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
7 0

Answer:

-9

Step-by-step explanation:

We are summing the 3rd 4th and 5th terms because k goes from 3 to 5

The third term is

-2(3) +5 = -6+5 = -1

The fourth term is

-2(4) + 5 = -8+5 = -3

The fifth term is

-2(5) +5 = -10 +5 = -5

Add these 3 terms together

-1+-3+-5 = -9

Vinvika [58]3 years ago
3 0
IT IS -9 BUT THE OTHER GUY ANSWERED BEFORE ME SORRY LATE
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A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2π/3
Aleksandr-060686 [28]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Radius of circle = 10 inches

Central angle is given by

\frac{2\pi }{3}

As we know the formula for " Length of an arc " :

Length of arc is given by

l=r\theta\\\\l=10\times \frac{2\pi}{3}\\\\l=10\times \frac{2}{3}\times \frac{22}{7}\\\\l=20.95\ inches

Hence, length of an arc is 20.95 inches.

Hence, Option 'C' is correct.

5 0
3 years ago
Read 2 more answers
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
Vitek1552 [10]

Step-by-step explanation:

We are given this function:

y=8700* (1.04)^{4}y=8700∗(1.04)

4

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4%

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

1.04^{4} = 1,169858561.04

4

=1,16985856

1,16985856 * 100% ≈ 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%

3 0
2 years ago
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The shorter leg of a right triangle is 6m shorter than the longer leg. the hypotenuse is 6m longer than the longer leg. find the
Gennadij [26K]
Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m

x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24

Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30

Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900
7 0
3 years ago
What is 1 Plus 1? pls help i need it now asap
OLga [1]

Answer:

2

Step-by-step explanation:

6 0
3 years ago
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HELP PLEASE
scoundrel [369]
Isolating the x^2 is the simplest way. it would only be three steps.
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3 years ago
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