1. Why should you plan for retirement now? Use 2-3 complete sentences

Answer:

89·98 mph

Step-by-step explanation:

First, we get the circumference of the tires:

Circumference = [tex]\pi[/tex] × (radius × 2)

Circumference = 3.142 × (1·5 × 2)

Circumference = 3·142 × 3

Circumference = 9·426 ft

The circumference of the tire is equal to one round.

      1 round = 9·426 ft

840 rounds = ?

We cross multiply to get the length that the tires would cover in a minute

= 840 × 9·426

       1

    1 minute = 7917·84 ft

60 minutes = ?

60 × 7917·84

          1

= 475070·4 ft

      5280 feet = 1 mile

475070·4 feet = ?

475070·4 × 1

     5280

475070·4 ÷ 5280 = speed of the car in mph

89·97545

Round this off to 2 decimal places...

= 89·98 mph

hope this helps! =)

Answer:

Angle x is 38.

Step-by-step explanation:

If its congruent it means it is equal. Vertical angles are equal to each other.

The measure of x is 38°.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

Vertical angles are congruent.

x° and 38° are vertical angles.

Now,

x° = 38°

Thus,

The value of x is 38°.

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Answer:

27 x 10 = 270

270 ÷ 36 = 7.5

7 and a half

Answer:

= -13 / 20

Step-by-step explanation:

Answer:

a) 0.172 probability that, in a year, there will be 4 hurricanes.

b) The expected number of years with 4 hurricanes is 7.7.

c) 7 years is close to the expected value of 7.7, which means that the Poisson distribution works well here.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

The mean number of hurricanes in a certain area is 5.1 per year.

This means that [tex]\mu = 5.1[/tex]

a. Find the probability that, in a year, there will be 4 hurricanes.

This is P(X = 4).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 4) = \frac{e^{-5.1}*(5.1)^{4}}{(4)!} = 0.172[/tex]

0.172 probability that, in a year, there will be 4 hurricanes.

b. In a 45-year period, how many years are expected to have 4 hurricanes?

Each year, 0.172 probability of 4 hurricanes. So for 45 years, the mean is 45*0.172 = 7.7.

The expected number of years with 4 hurricanes is 7.7.

c. How does the result from part (b) compare to a recent period of 45 years in which 7 years had 4 hurricanes? Does the Poisson distribution work well here?

7 years is close to the expected value of 7.7, which means that the Poisson distribution works well here.

Answer:

D fluid ounce, cup, pint, quart, gallon

Step-by-step explanation:

Units from greater to smaller:

1 gallon = 4 quarts

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 fluid ounces

Answer: D fluid ounce, cup, pint, quart, gallon

fluid Ounce, cup, pint, quart, gallon

D is the answer

Answer:

14 units²

Step-by-step explanation:

The area of the shape = area of a triangle

Area of triangle = ½ × base × height

base = 7

height = 4

Plug in the value into the formula:

Area = ½ × 7 × 4

Area = ½ × 28

Area = 14 units²

Answer:

x = 68°

Step-by-step explanation:

cos x = 10/27

cos x = 0.3704

x = 68.26°

Answer:

68

Step-by-step explanation:

Cosine=Adjacent/Hyp.

Cos(x)=10/27, or 0.37

Cos^-1(0.37)=68.3 degrees

Answer:

x = 48 (in degrees, I assume)

Step-by-step explanation:

Note that the two horizontal lines have those extra arrowheads on them? The red ones? That notation means those lines are parallel to each other.

In geometry, we learn that when two parallel lines are crossed by a third line (called a 'transversal'), alternate interior angles are congruent.

The two angles with labeled quantities are alternate exterior angles. They are 'alternate' because they are on opposite sides of the transversal line, and 'exterior' because they are above and below the the two horizontal lines, not contained in the interior area between them.

Therefore,       2x + 2 = x + 50

                         -x - 2 = -x -  2

                          x       =    48

The true statement is (b) 3 is in the domain of f º g.

The functions are given as:

[tex]f(x) = \sqrt{x + 9[/tex]

g(x) = 9x - 4

The function f º g(x) is calculated using:

f º g(x) = f(x)* g(x)

This gives

[tex]f\ o\ g(x) = \sqrt{x + 9} *(9x - 4)[/tex]

Set the radicand greater to 0

[tex]x + 9 \ge 0[/tex]

Solve for x

[tex]x \ge - 9[/tex]

This means that the domain is greater than or equal to -9

Hence, the true statement is (b) 3 is in the domain of f º g.

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Answer:3 is in the domain of f º g.

Step-by-step explanation:

Answer:21

Step-by-step explanation:

Answer:

A e3 x0 +

Step-by-step explanation:

Answer:

A C & D

Step-step explanation:

Answer: 12

Step-by-step explanation:

C=12 because u do 91+53 =144 then 144/12=12

C=12

Answer: $34

Step-by-step explanation:

39 x 0.2 = 7.80, the discount

39 - 7.80 = 31.20

31.20 x 0.09 = 2.80, the tax

31.20 + 2.80 = 34

Total cost for the shoes: $34

Answer:

24.99 dollars

Step-by-step explanation:

24 is 20 percent of 39

Answer:

44% of students

Step-by-step explanation:

because the sum of all the students = 50, we jsut need to multiply by 2 to get 100 (which is the easiest number to get a percentage from. because we multiplied 50 by 2 we must multiply 22 by 2 which gives us 44. 44/100 =44%

Answer:

44%

Step-by-step explanation:

to solve for this you simply add the numbers together in order to get the total then once you find the total you didved the number you're trying to find the percent for by the total

what kind of witchcraft is this?

Answer and Step-by-step explanation:

[tex]\frac{13}{20}[/tex], or 0.65 miles.

Convert both to common denominator, then add together.

They have a common denominator of 20.

[tex]\frac{1}{4}[/tex] × [tex]\frac{5}{5} = \frac{5}{20}[/tex]

[tex]\frac{2}{5}[/tex] × [tex]\frac{4}{4} = \frac{8}{20}[/tex]

[tex]\frac{5}{20} + \frac{8}{20} = \frac{13}{20}[/tex]

Answer:

I would walk [tex]\frac{13}{20}[/tex] or 0.65 miles.

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] + [tex]\frac{2}{5}[/tex] = [tex]\frac{5}{20}[/tex] + [tex]\frac{8}{20}[/tex] = [tex]\frac{13}{20}[/tex] or 0.65

Answer:

original number = 53

Step-by-step explanation:

In two digits number:

Let the tens place digit be x and units place digit be y.

So,

Original number = 10x + y

Number obtained after reversing the digits = 10y + x

According to the first condition:

x + y = 8.... (1)

According to the second condition:

10y + x = 10x + y - 18

10y + x - 10x - y = - 18

9y - 9x = - 18

-9(x - y) = - 18

x - y = - 18/(-9)

x - y = 2.......(2)

Adding equations (1) & (2), we find

x + y + x - y = 8 + 2

2x = 10

x = 10/2

x = 5

Plug x = 5 in equation (1), we find:

5 + y = 8

y = 8 - 5

y = 3

10x + y = 10*5 +3 = 50 + 3 = 53

Hence, original number = 53

Answer:

x intercept- (8,0)

y intercept-(0,-4)

Step-by-step explanation:

hope this helps!

Answer:

[tex]941 in^{3}[/tex]

Step-by-step explanation:

Answer:

6.5:7.5, or 1.3:1.5

Step-by-step explanation:

Simply find the number of hours studied for math (6.5) and hours studied for English (7.5) and put it into ratio form (6.5:7.5). Then simplify to get 1.3:1.5. Watch out for the wording.

Answer:

1.3 : 1.5

Step-by-step explanation:

Math : English

6.5 : 7.5 = 1.3 : 1.5

Answer:

4

Step-by-step explanation:

it dropped 4 from yesterday. if it was 4 yesterday than its 0 today so 4 is correct

Answer:

The correct answer is 8.5 square unit.

Hope it helps you