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STatiana [176]
3 years ago
8

5.) What is the expanded form of the expression --8(3v – 10)? b.0. 3 c. 0.93 d. 0.9 e. 1.07 a. - 24v + 80

Mathematics
1 answer:
Daniel [21]3 years ago
6 0
The answers are:
5. 24v-80
6. 18x+12y-30
7. <span>b. c=12π, a=36π
8. a. 16</span><span>÷4
9. c. vertical angles</span>
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What is the average rate of change for this function for the interval x=2 to x=4?
andrezito [222]

Answer:

12

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 2, 4 ]

f(b) = f)4) = 32 ← from table

f(a) = f(2) = 8 ← from table

Then average rate of change is

\frac{32-8}{4-2} = \frac{24}{2} = 12

6 0
3 years ago
2) Rachel wanted to drink exactly three bottles of water each day, so she bought twenty-six
lesya [120]

Answer:

1

Step-by-step explanation:

Twenty-Six is not a multiple of three so you know it won't be 26. Counting by threes goes 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Twenty-seven is the closest number to 26 which is higher than 26. Twenty-six + 1 = 27. That means that 1 is the answer.

8 0
2 years ago
Read 2 more answers
Find the probability of having 2,3, or 4
Makovka662 [10]

Answer:

65.28%

Step-by-step explanation:

The computation of the probability is shown below:

Given that

P(2,3, OR 4)

based on the above information

= 5C_2(0.4)^2 × (0.6)^3 + 5C_3(0.4)^3 × (0.6)^3 + 5C_4(0.4)^4 × (0.6)^1

= .3465 + .2304 + .0768

= .6528

= 65.28%

4 0
2 years ago
Quadrilateral JKLM is graphed with vertices at J(-2,2), K(-1,-5), L(4,0), and M(3,7).
AveGali [126]

Answer:

<u>Question (a)</u>

Midpoint of a line segment:

M=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Given:

  • J = (-2, 2)
  • L = (4, 0)

\implies \textsf{midpoint of }JL=\left(\dfrac{-2+4}{2},\dfrac{2+0}{2}\right)=(1,1)

Given:

  • M = (3, 7)
  • K = (-1, -5)

\implies \textsf{midpoint of }MK=\left(\dfrac{3-1}{2},\dfrac{7-5}{2}\right)=(1, 1)

<u>Question (b)</u>

Find slopes (gradients) of JL and MK then compare.  If the product of the slopes of JL and MK equal -1, then JL and MK are perpendicular.

\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}

Given:

  • J = (-2, 2)
  • L = (4, 0)

\implies \textsf{slope of }JL=\dfrac{0-2}{4+2}=-\dfrac13

Given:

  • M = (3, 7)
  • K = (-1, -5)

\implies \textsf{slope of }MK=\dfrac{-5-7}{-1-3}=3

\textsf{slope of }JL \times \textsf{slope of }MK=-\dfrac13 \times3=-1

Hence segments JL and MK are perpendicular

4 0
2 years ago
In 2004, Pen Hadow and Simon Murray walked 680 miles to
Mademuasel [1]

Answer:

The average number of daily miles traveled by these individuals was 11.72 miles per day.

Step-by-step explanation:

Given that in 2004, Pen Hadow and Simon Murray walked 680 miles to the South Pole, and the trip took 58 days, to determine the average number of miles traveled per day by these individuals the following mathematical calculation must be performed:

680/58 = X

11.72 = X

Thus, the average number of daily miles traveled by these individuals was 11.72 miles per day.

3 0
3 years ago
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