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andrezito [222]
3 years ago
15

The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x = 0

representing the year 2000, the graph below models this scenario.
What number will complete the point-slope equation that models this scenario?

y -50,000 =______(x -10)

A.) -3,000
B.) -2,000
C.) 2,000
D.) 3000

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
8 0
A Point-Slope equation of a straight line has this form: y - y1 = m(x-x1)

We can recognize any points of the graph.
(0,80000) ; (10,50000)

Given:
<span>y -50,000 =______(x -10)

We need to find the slope.

Slope = Change in y / Change in x = 80,000 - 50,000 / 0 - 10 = 30,000 / -10 = -3,000

The slope is equal to -3000. Choice A.

</span><span>y -50,000 = -3,000(x -10)</span>
marin [14]3 years ago
5 0

Answer:

-3,000

Step-by-step explanation:

Just took quiz on edge

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The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.35 inches and a standard deviatio
Fiesta28 [93]

Answer:

15.87%

Step-by-step explanation:

Notice that the mean of 0.35 inches with a standard deviation of 0.01 gives you when you add (to the right of the distribution), exactly 0.36. Since you want to find the probability (or percentage) of the bolts that have diameter LARGER than 0.36 in, that means you want to estimate the area under the Normal distribution curve from 0.36 to the right). See attached image.

We can use the tables of Z distribution for that, or the standard normal tables:

P(x>0.36) = P(z>(0.36-0.35)/0.01) = P(Z>1) = 0.1587 = 15.87%

7 0
3 years ago
2. Which of the following are terms of the series with nth term T-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566
pishuonlain [190]

Answer:

The correct options are a,b,e and f.

Step-by-step explanation:

It is given that the nth terms of the series is defined as

T_n=3n+17

Subtract 17 from both the sides.

T_n-17=3n

Divide both sides by 3.

\frac{T_n-17}{3}=n

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

n=\frac{80-17}{3}=21

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

n=\frac{170-17}{3}=51

Since n is a positive integer, therefore 170 is a term of given series.

(c) The given term is 217.

n=\frac{217-17}{3}=66.67

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

n=\frac{312-17}{3}=98.33

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

n=\frac{278-17}{3}=87

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

n=\frac{3566-17}{3}=1183

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

7 0
3 years ago
Marylou buys a package of 500 jewels to decorate 4 different pairs of jeans. She uses the same number of jewels on each pair of
patriot [66]
500 divided by 4 = 125 so 
125 jewels on each pair of jeans

4 0
3 years ago
3. What are the coordinates of the points of tangency of the two tangent lines through the point (1,1) each tangent to the circl
VashaNatasha [74]

Answer:y+x=2    

Step-by-step explanation:

Given

equation of circle x^2+y^2=1

Equation of tangent passing through (1,1)

Slope of tangent is given by differentiating equation of circle

2x+2y\frac{\mathrm{d} y}{\mathrm{d} x}=0

\frac{\mathrm{d} y}{\mathrm{d} x}=\frac{-x}{y}

at (x,y)=(1,1)

\frac{\mathrm{d} y}{\mathrm{d} x}=\frac{-1}{1}

Equation of line with slope

m=\frac{y-y_0}{x-x_0}

-1=\frac{y-1}{x-1}

y+x=2    

7 0
3 years ago
An apartment has 110 square meters of carpeting. How much is this in square feet? Use the following conversion: 1 square meter i
algol13

Answer:

1188

Step-by-step explanation:

110 x 10.8 = 1188

7 0
3 years ago
Read 2 more answers
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