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Nutka1998 [239]
3 years ago
14

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

(y - 0) =  \frac{1}{3} (x - 0)

y =  \frac{1}{3} x

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Shirley has a circular rug in her dining room that has an area of 36 pie Square meters what is the radius of the circular rug
ValentinkaMS [17]

Answer: The radius of the circular rug is  6 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

<em>Area of a circle (A) = pi r² </em>

Where r is the radius:

Replacing with the values given:

36 pi=pi r²

Dividing both sides by pi:

36 = r²

√36= r

r = 6 meters

So, the radius of the circular rug is  6 meters.

Feel free to ask for more if needed or if you did not understand something.

8 0
2 years ago
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Margaret [11]

Answer:

n=6 man

Step-by-step explanation:

8 0
2 years ago
12x+7&lt;-11 or 5x-8&gt;40
puteri [66]

Answer:

\large\boxed{x9\dfrac{3}{5}\to x\in\left(-\infty,\ -1\dfrac{1}{2}\right)\ \cup\ \left(9\dfrac{3}{5},\ \infty\right)}

Step-by-step explanation:

12x+7

5x-8>40\qquad\text{add 8 to both sides}\\\\5x-8+8>40+8\\\\5x>48\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{48}{5}\\\\x>\dfrac{48}{5}\\\\x>9\dfrac{3}{5}\\===========================

x9\dfrac{3}{5}

7 0
3 years ago
The choir sells tickets to its performances for an assortment of prices and gives some tickets away. The choir
galina1969 [7]

The least square regression equation for the information provided is y = 9.72x - 40.776

<u>The general equation of a regression model can be expressed thus</u>:

  • y = bx + c

  • Slope, b = r(Sy/Sx)

Calculating slope, b :

  • b = 0.81(177.6 / 14.8) = 9.72

<u>Plugging the values of b, y and x into the equation in other to calculate c</u> :

696 = 9.72(75.8) + c

696 = 736.776 + c

c = 696 - 736.776

c = - 40.776

Therefore, the linear regression model can be expressed as : y = 9.72x - 40.776

Learn more :brainly.com/question/18405415

3 0
2 years ago
phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year
Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0
3 years ago
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