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andre [41]
2 years ago
8

What is the slope of the line that passes through the points (-6, 8) and (−16,33)? Write your answer in simplest form.

Mathematics
1 answer:
Leni [432]2 years ago
4 0

Answer:

-\frac{5}{2}

Step-by-step explanation:

\frac{change in Y}{change in X}

plug in points:

\frac{8-33}{-6+16}

\frac{-25}{10}

Simplify:

-\frac{5}{2}

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Find the 12th term of the geometric sequence 2, -8,32, ...
Stells [14]

Answer:

-8388607

Step-by-step explanation:

a = 2

r = -8/2 = -4

12th term = (2)×(-4)¹¹

= -8388608

7 0
2 years ago
Read 2 more answers
Scott wants to buy fencing to place around a circular rock garden. The diameter of the circle is 16 feet. Using 3.14 for π, Calc
denpristay [2]

Answer:

200.96 square feet

Step-by-step explanation:

The amount of fencing Scott will need to buy can be gotten by calculating the area of the circular rock garden .

Area of a circle is given by

Pi r^2

Where

r = radius

Given diameter of 16 feet

r = diameter/2

= 16/2

= 8 feet

Pi = 3.14

Therefore,

Area = 3.14 x 8^2

= 3.14 x 8 x 8

= 200.96 square feet

The amount of fencing Scott will need to buy is 200.96square feet

5 0
2 years ago
An airliner carries 150 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of
iogann1982 [59]

Answer:

Step-by-step explanation:

x, height of men is N(69, 2.8)

Sample size n =150

Hence sample std dev = \frac{2.8}{\sqrt{150} } =0.229

Hence Z score = \frac{x-69}{0.229}

A) Prob that a random man from 150  can fit without bending

= P(X<78) = P(Z<3.214)=1.0000

B) n =75

Sample std dev = \frac{2.8}{\sqrt{75} } =0.3233

P(X bar <72) = P(Z<9.28) = 1.00

C) Prob of B is more relevent because average male passengers  would be more relevant than a single person

(D) The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.

3 0
2 years ago
Which statements about the graph of the function f(x) = 2x^2– x – 6 are true? Select two options.
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

Please, share the answer options next time.

1)  f(x) = 2x^2– x – 6 is a quadratic function.  

2) The coefficients of this polynomial are a = 2, b = -1 and c = -6

2)  Its graph opens up.

3)  The x-value of the axis of symmetry and the vertex is x = -b / (2a), which here comes out to x = -(-1) / [2(2)], or x = 1/4

4) the y coordinate of the vertex is f(1/4), or -6 1/8

5) The vertex is at (1/4, -6 1/8)

6)  The y-intercept is at f(0):  2(0)^2 - 0 - 6 = -6  =>  (0, -6)

3 0
2 years ago
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A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentag
laila [671]
25% because u have to divide the diameter of the logo to get the radius.
4 0
2 years ago
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