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3 years ago

Help! Il give brainlest

Mathematics

1 answer:

Readme [11.4K]3 years ago

7 0

Answer:

180 miles

Step-by-step explanation:

6 gallons is 2x as many gallons as 3 gallons so the distance he can drive is 2x the original distance.

2x90 miles=180 miles

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assuming saving is 3,000 times 10 years rate is 2% = 0.02 excel formula = fv (0.02,10-3000.00) future value (fv) is what

never [62]

Answer:

Future Value: 3,656.98

Step-by-step explanation:

Present Value (P): 3000

Number of Time Periods (n): 10

Interest Rate Per Time Period (i): 2%

FV (Future Value) = P * (1 + i)^n

= 3000 * (1 + 0.02)^10

Future Value: 3,656.98

4 0

3 years ago

PLEASE HELP!!!! 50 POINTS

Leni [432]

First you need to rewrite the equation in the form y = mx +b:

2y = x-4

Divide all terms by 2:

2y / 2 = x/2 - 4/2

Simplify:

y = 1/2x - 2

The slope of the line is 1/2.

A perpendicular line has a slope of the negative reciprocal, which would be -2.

Now using the point slope method:

y - y1 = m(x-x1)

Using the given point of (8,-4) and m = -2

you get:

y +4 = -2(x-8)

Simplify:

y +4 = -2x +16

Now subtract 4 from both sides to get the final equation:

y = -2x +12

3 0

3 years ago

g People between the ages of 65 and 70 were studied to see if those who exercise more were healthier. One measure of health was

liubo4ka [24]

Answer:

If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.

Step-by-step explanation:

We have a group of people between agss of 65 and 70.

They are divided in two groups regarding their amount of exercise: "none", "moderate" and "high".

The response variable is blood pressure, that was categorized as "normal"or "high".

Then, we have the frequencies table as:

Amount of exercise None Moderate High

Blood pressure High 54 23 7

Blood pressure Normal 86 76 32

We have to calculate the probability that, given that the person had high blood pressure, he or she did not exercise.

If the person had high blood pressure, it can be of the any of the 3 groups of exercise amount. There are 54 people with high blood pressure that did not exercise, 23 that did moderate amount of exercise, and 7 that did a high amount.

Then, the probability can be calculated dividing the amount of people that had high blood pressure and did not exercise, by all the people that have high blood pressure (regarding the amount of exercise):

$P(N | HP)=\dfrac{54}{54+23+7}=\dfrac{54}{84}=0.643$

If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.

5 0

3 years ago

Find the circumference of the circle shown below if the diameter equals 20 inches. Use 3.14 for π.

Rasek [7]

Answer:

62.83

because you take 20, divide it by 2 to get the radius then you have the equation 2π(10)

3 0

3 years ago

The function F is defined by F(x)= 12/x + 1/2 . Use this formula to find the following values of the function.

IgorLugansk [536]

Answer:

$F(3)=\frac{9}{2} \\F(-12)=\frac{-1}{2} \\F(\frac{1}{3} )=\frac{73}{2} \\F(\frac{3}{4} )=\frac{33}{2}$

Step-by-step explanation:

Given: $F(x)= \frac{12}{x} + \frac{1}{2}$

To find: Values of the function F(3) , F(−12) , $F(\frac{1}{3})$ , $F(\frac{3}{4})$

Solution:

A function is a relation in which each and every element of the domain has a unique image in the co-domain.

To find the values of the functions $F(3),F(-12),F(\frac{1}{3} ),F(\frac{3}{4} )$ , put $x=3, -12, \frac{1}{3},\frac{3}{4}$ in the given function $F(x)= \frac{12}{x} + \frac{1}{2}$

$F(x)= \frac{12}{x} + \frac{1}{2}\\F(3)= \frac{12}{3} + \frac{1}{2}\\=4 + \frac{1}{2}\\=\frac{9}{2}$

$F(x)= \frac{12}{x} + \frac{1}{2}\\F(-12)= \frac{12}{-12} + \frac{1}{2}\\=-1+\frac{1}{2}\\ =\frac{-1}{2}$

$F(x)= \frac{12}{x} + \frac{1}{2}\\\\F(\frac{1}{3} )= \frac{12}{\frac{1}{3}} + \frac{1}{2}\\=36+\frac{1}{2}\\ =\frac{73}{2}$

$F(x)= \frac{12}{x} + \frac{1}{2}\\\\\\F(\frac{3}{4} )= \frac{12}{\frac{3}{4}} + \frac{1}{2}\\\\=16+\frac{1}{2}\\ \\=\frac{33}{2}$

8 0

3 years ago

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