Find the volume.
1 cm
14 cm
2.5 cm

Answer:

There are 6 options, sample space is below.

Step-by-step explanation:

The band has 2 days to pick from. For each day, they have three different options for times. 2 days x 3 times = 6 options.  Therefore, the sample space is: (usually this would be a picture, with arrows. search it )

for Tuesday: 3, 4, or 5

for Wednesday: 3, 4, or 5

Answer:

She needs an annual interest rate of 7.54%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

She figures that this will cost a total of $25,750.

This means that [tex]A = 25750[/tex].

Sandra already has $21,400 saved up

This means that [tex]P = 21400[/tex].

Semianually compunding, 2.5 years.

This means that [tex]n = 2, t = 2.5[/tex]

What interest rate?

We have to find r. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]25750 = 21400(1 + \frac{r}{2})^{2*2.5}[/tex]

[tex](1 + 0.5r)^5 = \frac{25750}{21400}[/tex]

[tex]\sqrt[5]{(1 + 0.5r)^5} = \sqrt[5]{\frac{25750}{21400}}[/tex]

[tex]1 + 0.5r = (\frac{25750}{21400})^{\frac{1}{5}}[/tex]

[tex]1 + 0.5r = 1.0377[/tex]

[tex]0.5r = 0.0377[/tex]

[tex]r = \frac{0.0377}{0.5}[/tex]

[tex]r = 0.0754[/tex]

0.0754*100% = 7.54%

She needs an annual interest rate of 7.54%.

Answer:

4/6

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

Answer:

2500 feet = 1 minute

Step-by-step explanation:

Answer:

The base angles measure 78.46 degrees to the nearest hundredth.

Step-by-step explanation:

Applying the Cosine Rule:

10^2 = 10^2 + 4^2 - 2.4.10cosX     where X is a base angle.

cos X = (100 - 100 - 16)/ (-80)

cos X = -16/-80

cos X = 0.2

X = 78.463 degrees

Answer:

2262.08 pencils each. man it is silly. 56552/25

Step-by-step explanation:

Answer:

The population will get smaller.

Step-by-step explanation:

If the food decreases, then the people won’t have anything to eat, and so some will die, thus resulting in a lower population.

Answer:

9.1

Step-by-step explanation:

The lower quartile, denoted as Q1, gives the value of the lower quartile, from a box plot, the value of the lower quartile is the value at the starting point of the box. In the box plot given for the windspeed in Chicago, the starting point of the box is the point marked with the reading 9.1. Hence we can conclude that the lower quartile is 9.1

Answer:

m=3

n=2

Step-by-step explanation:

Answer:

the answer is 180

Step-by-step explanation:

Answer:

9 containers

Step-by-step explanation:

Answer:

1.Make the circle open

2.put the dot on 5

3. change direction

Step-by-step explanation:

A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.

Have a nice day! :-)

Answer:

closed circle on 3 with line pointing right

Step-by-step explanation:

the number can be greater than or equal to 3 so it means that includes 3 so closed circle on 3 and then it points right towards the bigger numbers because it can be greater than 3

Answer:

1 hour 20 minutes

Step-by-step explanation:

Time to fix car ( repair time ) = 20 minutes

Breakdown rate ( λ )  = 2 car per hour

first step : determine service the service rate ( μ )

= 60 minutes / 20 minutes

= 3 cars per hour

next : determine the average waiting time for a disabled car

=  1 / (μ - λ)

= 1 / service rate - breakdown rate

= 1 / ( 3 - 2 )

= 1 / 1 =  1 hour

Finally Total time for a disabled car to be fixed

= repair time + average waiting time

= 20 minutes + 60 minutes

= 1 hour 20 minutes

9514 1404 393

Answer:

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic. Your calculator can help.

1. 6x -2y +5y = 6(10) -2(3) +5(3) = 60 -6 +15 = 69

__

2. add 16 to find x.

  x -16 = 29

  x = 45

Then do the substitution:

  2(45 +5) = 2(50) = 100

__

3. 3(4²) -4(18) = 3(16) -4(18) = 48 -72 = -24

__

4. (1/9)³ = (1/9)(1/9)(1/9) = 1/(9·9·9) = 1/729

Answer:

Step-by-step explanation:

3 - 45 = -42

3 + 41 = 44

I'm not sure if this is right

Answer:

4/5 = x

Step-by-step explanation:

2/5  = x/2

Using cross products

2*2 = 5x

4 = 5x

Divide by 5

4/5 = 5x/5

4/5 = x

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex] \frac{2}{5} = \frac{x}{2} [/tex]

Use the cross multiplication method.

[tex]2 \times 2 = x \times 5 \\ 4 = 5x \\ \frac{4}{5} = x[/tex]

➳ Answer = [tex] \frac{4}{5} [/tex]

Answer:

Answer = 126 square inches

Step-by-step explanation:

Square area formula is Area = s^2    (replace the s with the side length)

Square area -->  Area = 4^2       Area = 16in

Parallelogram area formula is Area = h * b (replace h with height length and replace b with base length)

Parallelogram area --> Area = 3.5 * 10     Area = 35

Rectangle area formula is Area = w * h    (replace width and height)

Rectangle area --> Area = 12.5 * 6    Area = 75

Then add them all up  75 + 35 + 16 = 126 square inches

Answer:

2/5 or 40 percent

Step-by-step explanation:

All we need to solve this problem are the total number of boys and the total number of girls. Since we already know how many boys there are (6) , let's start by finding the girls, which is marked as b. Looking at the chart, we can tell that

8 + a = b

but we don't know what a is yet. How about we find that out first? If we look vertically, we can see that

a + 4 = 5

so

a = 1.

Now, we can find b.

b = 9

To find the probability of selecting a boy, we have to divide the number of boys by the total number of people.

boys/total = 6 / 15

Simplifying, we get the answer

2/5.

Answer:

C. No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

Every relation or table of values that represents a function must have exactly one range value (output) assigned or related to one domain value (input). That is to say, each x-value must not have more than one y-value assigned to it.

From the table of values given, an x-value, 8, has more than one y-value, 5 and 8, assigned to it.

Therefore, it is not a function.

The answer is:

C. No, because one x-value corresponds to two different y-values.

Answer:

c

Step-by-step explanation:

Answer:

[tex]35.33\ m^3[/tex]

Step-by-step explanation:

Given that,

Height of the cylindrical well, h = 20 m

The diameter of the well, d = 1.5 m

Radius, r = 0.75 m

We need to find the volume of the well. This will be the amount that is dug out to make a well. So,

[tex]V=\pi r^2 h\\\\V=3.14\times (0.75)^2\times 20\\\\V=35.33\ m^3[/tex]

So, [tex]35.33\ m^3[/tex] soil was dug out to make a well.

Answer:

nice

Step-by-step explanation:

whats the rest of the problem or is it just that she rolled a dice

Answer:

64

Step-by-step explanation:

1 x 2 = 4

4 x 2 = 8

8 x 2 = 32

32 x 2 = 64

Answer:

256

Step-by-step explanation:

1, 2, 2, 4, 8, 32

this is how the pattern works;

1*2 = 2

2*2 = 4

2*4 = 8

4*8 = 32

8 * 32 = 256  by calculator

Answer:

I think its 12

Step-by-step explanation:

If you subtract from each its 36 but since it goes by 3 weeks you divide 36 by 3 and get 12. I am not 100% sure though.

Answer:

SA = 52 ft²

Step-by-step explanation:

The opposite faces of the prism are congruent , then

SA = 2(3 × 2) + 2(2 × 4) + 2(3 × 4)

     = 2(6) + 2(8) + 2(12)

     = 12 + 16 + 24

     = 52 ft²

Answer:

52

Step-by-step explanation:

Surface area = sum of faces areas

SA of a rectangular prism = 2 ( lw + wh + lh )

where l = length, w = width and h = height

The prism has the following dimensions

l = 3

h = 4

w = 2

That being said we want to plug in these dimensions into the formula

SA = 2 ( 3*4 + 4*2 + 2*3 )

3*4=12

4*2=8

2*3=6

SA = 2 ( 12 + 8 + 6 )

12 + 8 + 6 = 26

SA = 2(26)

SA = 52

Answer:

A. There is four times as much total fruit as pears.

Answer:

8019 possible 5 digit numbers

Step-by-step explanation:

Available number to pick from are a total of 10 which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

>> Now, let's consider when the first digit is 6 since we are told that 6 can appear only once.

For the first digit, it's only 1 way.

For the 2nd, 3rd, and 4th digit, we have 9 digits to pick from. Which is 9 ways each.

While for the 5th digit, it can't be 6 or 7. And it has to be even and so, we can pick only 0, 2, 4. Thus, we have 3 ways to choose.

So total number of ways here = 1 × 9 × 9 × 9 × 3 = 3 × 9³ ways

>> Now, let's consider when the 2nd digit is 6 since we are told that 6 can appear only once.

For the 1st digit, since 6 is not possible, and also 0 is not possible because a 5 digit number can't start with zero as it would no longer be a 5 digit number.

Thus, there are 8 ways to choose here.

For the second, third and fourth digits, there will be 9 ways each to chops.

While for the fifth digit, there will be 3 ways to choose.

Total number of ways here = 8 × 1 × 9 × 9 × 3 = 24 × 9² ways

>> When the third digit is 6, number of ways to choose will be same as above = 24 × 9² ways

>> When the fourth digit is 6, number of ways to choose will be same as above = 24 × 9² ways

We can't say none of the digits is 6 because we are told it appears exactly once.

Thus, total possible 5 digit numbers are;

(3 × 9³) + 3(24 × 9²) = 8019 possible 5 digit numbers

Answer:

25.4%

Step-by-step explanation:

Here, we are to calculate the sample proportion :

Number sampled, n = 1158

x, = number of sample irked by tailgaters = 294

Sample proportion, Phat = x / n

Phat = 294 / 1158 = 0.25388

Phat = 0.25388 * 100% = 25.388%

= 25.4%