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1 year ago

Find the slope.

Mathematics

2 answers:

podryga [215]1 year ago

5 0

Y=45x+30

x=months
y= fee

Basile [38]1 year ago

3 0

9514 1404 393

Answer:

slope: 45
y-intercept: 30
equation: y = 45x + 30

Step-by-step explanation:

The slope is the cost per month. (A slope is often expressed as a ratio: dollars per month, in this case.) The slope is 45.

The y-intercept is the value that obtains when the number of months (in this case) is zero. It is the activation fee, 30. The y-intercept is 30.

The equation in slope-intercept form is ...

y = mx + b . . . . . where m is the slope and b is the y-intercept

Using the above numbers, the equation is ...

y = 45x + 30

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Art [367]

Answer:

Sum = $\frac{1364}{3}$

Step-by-step explanation:

The given geometric sequence is:

$\frac{4}{3}, \frac{16}{3}, \frac{64}{3}, \frac{256}{3},\frac{1024}{3}$

The first term of the sequence is $a_{1}=\frac{4}{3}$

The common ratio of the sequence is:

$r=\frac{\frac{16}{3} }{\frac{4}{3} }=4$

There are 5 terms in total in the given sequence so n = 5

The formula to calculate the sum of finite geometric sequence is:

$S_{n} = \frac{a_{1}(1-r^{n}) }{1-r}$

Using the given values, we get:

$S_{5}=\frac{\frac{4}{3} (1-4^{5}) }{1-5} = \frac{1364}{3}$

Therefore, the sum of given geometric sequence is $\frac{1364}{3}$

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2 years ago

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1 year ago

Which of the following is the same as 5(2 − 1)?

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2 years ago

Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.

rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed as:

$y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}$

Thus, the area of the surface is as follows:

$\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA$

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$= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta$

$=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr$

$= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0$

$= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg]$

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3 0

1 year ago

For the third week of February, Betty Robinson worked 46 hours. Betty earns $17.50 an hour. Her employer pays overtime for all h

anygoal [31]

Answer:

1. 700

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Regular pay is calculated by taking 40 hours x $17.50 to get $700.

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Gross pay would be adding these two amounts together.

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2 years ago