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Romashka-Z-Leto [24]
3 years ago
7

Find the six arithmetic means between 1 and 29.

Mathematics
1 answer:
sp2606 [1]3 years ago
7 0
1, ___, ____, _____, _____, _____, ____, 29

29-1 = 28
28/7 = 4
1, 5, 9, 13, 17, 21, 25, 29
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taurus [48]

Answer:

The cost to rent a bike

Step-by-step explanation:

4 0
3 years ago
I need to solve the equation please help me
lesantik [10]

Answer:

\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}

Step-by-step explanation:

We are given the equation:

4\sin^2(x)+6\sin(x)+2=0

First, we can divide everything by 2:

2\sin^2(x)+3\sin(x)+1=0

Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:

2u^2+3u+1=0

Solve for u. Factor:

(2u+1)(u+1)=0

Zero Product Property:

2u+1=0\text{ or } u+1=0

Solving for both cases:

\displaystyle u=-\frac{1}{2}\text{ or } u=-1

And by substitution:

\displaystyle \sin(x)=-\frac{1}{2}\text{ or } \sin(x)=-1

For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:

\displaystyle x=\frac{7\pi}{6}+2n\pi \text{ and } x=\frac{11\pi}{6}+2n\pi, n\in\mathbb{Z}

Where n is an integer.

For the second case, sin(x) is -1 for every 3π/2. Thus:

\displaystyle x=\frac{3\pi}{2}+2n\pi

All together, our solutions are:

\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}

4 0
3 years ago
Janice's mother gave her ten-dollar bill to buy five pounds each bananas and apples at the grocery store. When she got there she
lakkis [162]

Buying apples and bananas with $10


5 pounds of bananas so

5 x .80 = $4

5 pounds of apples so

5 x 1.40 = $7


$7 + $4 = $11

she only has $10

$11 - $10 =  - 1,00


so no. she will not recieve any change because she doesnt havew enough money

6 0
3 years ago
Three less than the quotient of a number and 6 exceeds 1. What are the possible values? (Answer the first part.)
Artyom0805 [142]
The inequality would be n/6 - 3 >/ 1. First, you would add 3 to both sides, leaving you with n/6 >/ 4. After that, you would just multiply 6 by 4 to get 24 as your answer.
7 0
3 years ago
Three times the difference between 4 times h and five is 45
Anestetic [448]

3(4h-5) =45

12h-15=45

+15 +15

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÷12 ÷12

h = 5

5 0
3 years ago
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