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Pani-rosa [81]
3 years ago
5

Teresa babysits for her neighbors . She charges $13 for the first hour and $10 for each additional hour. Write a rule for the to

tal amount of money she charges , T based on the number of hours she babysits , H.
Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0
It would be 13 + 10t because she starts with 13 dollar charge in the first hour but every hour after that would be 10 dollars an hour.
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Lim <br> x → 1 <br> ln(x)/<br> sin(7πx)
mote1985 [20]
\displaystyle\lim_{x\to1}\frac{\ln x}{\sin7\pi x}

Note that both the numerator and denominator approach 0 as x\to1, so we can try using L'Hopital's rule.

\displaystyle\lim_{x\to1}\frac{\lnx }{\sin7\pi x}=\lim_{x\to1}\frac{\frac1x}{7\pi\cos7\pi x}=\lim_{x\to1}\frac1{7\pi x\cos7\pi x}

The denominator is nonzero at x=1, so the limit is equivalent to

\displaystyle\frac1{\lim\limits_{x\to1}7\pi x\cos7\pi x}=\frac1{7\pi\cos7\pi}=-\frac1{7\pi}
7 0
2 years ago
Find the midpoint of the line segment with end coordinates of (2,0) and (8,8)
viva [34]

Answer:

<h2>(5,4)</h2>

Step-by-step explanation:

Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:8\right)\\\\=\left(\frac{8+2}{2},\:\frac{8+0}{2}\right)\\\\=(\frac{10}{2} , \frac{8}{2} )\\\\Simplify\\\\(5,4)

4 0
2 years ago
Read 2 more answers
Two supplementary angles are in the ratio of 31:5 find angles​
ad-work [718]

Answer:

The angles are <u>155°</u> and <u>25°</u>.

Step-by-step explanation:

Given:

Two supplementary angles are in the ratio of 31:5.

Now, to find the angles.

The sum of two supplementary angles = 180°

Let the ratio of the angles be 31x\ and\ 5x.

So, according to question:

31x+5x=180\°

36x=180\°

<em>Dividing both sides by 36 we get:</em>

x=5

So, 31x=31\times 5=155\°.

And, 5x=5\times 5=25\°.

Therefore, the angles are 155° and 25°.

7 0
2 years ago
WORTH 25 POINTS!
Nina [5.8K]

The equation we can use is

3 + 1/4c = 9

To find the total number of pieces, we would just solve the equation.

3 + 1/4c = 9

3 - 3 +1/4c = 9 - 3

1/4c = 6

inverse of division is multiputcation

4/1 *1/4c = 6*4

c = 24

There were 24 pieces of cake in total.

6 0
2 years ago
Read 2 more answers
In JKL. solve for x <br><br> 66.73<br> 74.89<br> 15.44<br> 38.16
liq [111]
By right triangle trigonometry, the sine of the measure of an angle is the ratio of the opposite side of this angle to the hypotenuse.

Thus, \displaystyle{\sin27^{\circ}= \frac{34}{x}


\sin27^{\circ} is a constant which can be found using a calculator:

with calc in pc: view → scientific → 27→sin = 0.45399, 

thus x=34/0.45399=74.89


Answer: 74.89
5 0
2 years ago
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