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-BARSIC- [3]
4 years ago
13

Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many

laps must Kellyn jog to meet her goal?
Mathematics
1 answer:
Lerok [7]4 years ago
4 0

Answer:

25/4 laps or (6.25 laps)

Step-by-step explanation:

1 lap = 1 1/5 miles

kellyn plans to jog 7 1/2 miles

                                                      1  lap

number of laps = 7 1/2 miles x  --------------   = 25/4 laps or (6.25 laps)

                                                    1 1/5 miles

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Figure ABCDEF was reflected across the line y = –x to create figure A'B'C'D'E'F'. On a coordinate plane, a 6-sided figure has po
jarptica [38.1K]

Answer: I think the answer is C. (2, -4)

Step-by-step explanation:

When you reflect an image across the line Y = -X, you switch and negate both the X and Y-values. So just reverse the coordinate of F'. By doing this, you will get (2, -4).

9 0
4 years ago
Read 2 more answers
Which expression shows a way to factor 20+24?
scZoUnD [109]

Answer:

20+24= 2(10+12) = 4(5+6)

Those are two ways to factor 20+24.

3 0
2 years ago
Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative. f"(x) = 2x + 9e
ad-work [718]

Answer:

f(x)=\frac{x^3}{3}+9e^x+Cx+D

Step-by-step explanation:

The function <em>F(x)</em> is an antiderivative of the function <em>f(x)</em> on an interval <em>I</em> if

<em>F′(x)</em> = <em>f(x)</em> for all <em>x </em>in <em>I</em>.

The function <em>F(x) + C</em> is the General Antiderivative of the function <em>f(x)</em> on an interval <em>I</em> if <em>F′(x) = f(x)</em> for all <em>x</em> in <em>I </em>and <em>C</em> is an arbitrary constant.

The Indefinite Integral of <em>f(x)</em> is the General Antiderivative of <em>f(x)</em>.

\int {f(x)} \, dx =F(x)+C

To find the first antiderivative you must integrate the function f''(x) = 2x + 9e^x

f'(x)=\int { 2x + 9e^x} \, dx \\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int \:2xdx+\int \:9e^xdx = x^2+9e^x\\\\\mathrm{Add\:a\:constant\:to\:the\:solution}\\\\x^2+9e^x+C

To find the second antiderivative you must integrate the function f'(x) =x^2+9e^x+C

f(x)=\int {x^2+9e^x+C} \, dx\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int \:x^2dx+\int \:9e^xdx+\int \:Cdx= \frac{x^3}{3}+9e^x+Cx\\\\\mathrm{Add\:a\:constant\:to\:the\:solution}\\\\\frac{x^3}{3}+9e^x+Cx+D

Therefore,

f(x)=\frac{x^3}{3}+9e^x+Cx+D

8 0
3 years ago
TRUE or FALSE: (-5)(-2)(-3) = 30
insens350 [35]

Answer:

False

Step-by-step explanation:

It is false because there are an odd number of negative numbers multiplied together.

-5 * -2 = 10 but then you multiply that by -3 again and it turns back into a negative. That being -30.

3 0
3 years ago
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dedylja [7]

The answer is x = 5/2 or -1

5 0
3 years ago
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