Solve each inequality. Graph and check the solution.
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[tex] \frac{1}{2} \: to \: the \: power \: of \: 5 \: is \: \frac{1}{32} or \: 0.03125 [/tex]

Answer:

[tex] \ {\boxed{ \tt ( \frac{1}{2}) ^{5} = \frac{1}{32} }}[/tex]

Step-by-step explanation:

[tex] \\ \tt( \frac{1}{2} )^{5} [/tex]

[tex] \\ \tt= \frac{ {1}^{5} }{ {2}^{5} } [/tex]

[tex] \\ \tt = \frac{1 \times 1 \times 1 \times 1 \times 1}{2 \times 2 \times 2 \times 2 \times 2} [/tex]

[tex] \\ \tt = \frac{1}{32} [/tex]

The project in her Geometric class is an illustration of equivalent ratios

The approximated height of the flagpole is 13.19 meters

The given parameters are:

Distance from flagpole (D) = 14.25

Distance to the other side of the mirror (d) = 1.35

Kylie's height (h) = 1.25

To calculate the height (H) of the flagpole, we make use of the following equivalent ratios

[tex]\mathbf{D :d = H :h}[/tex]

Substitute known values

[tex]\mathbf{14.25 :1.35 = H :1.25}[/tex]

Express as fraction

[tex]\mathbf{\frac{14.25 }{1.35 }= \frac{H }{1.25}}[/tex]

Multiply both sides by 1.25

[tex]\mathbf{H = 1.25 \times \frac{14.25 }{1.35 }}[/tex]

Multiply

[tex]\mathbf{H = 13.19 }[/tex]

Hence, the approximated height of the flagpole is 13.19 meters

Read more about equivalent ratios at:

https://brainly.com/question/18441891

Answer: [tex]x^{2/5}[/tex][tex]y[/tex]

Step-by-step explanation:

([tex]x^{2}[/tex][tex]y^{5}[/tex])^[tex]^{1/5}[/tex]

= [tex]x^{2/5}[/tex][tex]y[/tex]

Answer:

she would have 3ft. 10 inches of board

Step-by-step explanation:

Answer:

3ft and 10inches

Step-by-step explanation:

so 6ft 8 in minus 10in is 5ft 10 in

then 5ft minus 2ft is 2ft the rest is a piece of cake

Answer:

Step-by-step explanation:

the answer is 1.1324

Answer:

the answer is this sign >. it means the answer on the left is greater than the one on the right

[tex] \red{ \rule{40pt}{555555pt}}[/tex]

Answer:

It'll be B.10

Step-by-step explanation:

Rectangles always have 2 side lower than the other2 . BC and AD are same length so they are both 13. BA and CB are the same length to It has to be 10.

Hope this helps :)

Answer:

Hello!

Judging by the link you provided I have come up with the correct solution:

x= 61°

y= 29°

Step-by-step explanation:

I will link my work below:

The first step to finding the two solutions it to first identify one of them.

I chose to identify x first.

To identify the value of x in this problem you have to notice that the x value corresponds with the value "29°" to form a perfect right angle, being 90°.

Thus you can simply find the value of x by doing this formula:

x+29°=90°

You then subtract 29° from both sides to simplify, and you come up with the solution

x=61°

Now we need to find the value of y.

To find the value of y I noticed that again, like x, y corresponds with another variable (being x) to form a perfect right angle (90°).

The way I realized this is a perfect right angle is because, as you can see in the picture you provided, the y+x angle are alternate exterior angles with another angle that is 90°.

Thus you can assume that:

x+y=90°

x= 61°

61°+y=90°

You then subtract 61° from both sides to get:

y=29°

26:100

..............................

26 percent in simplest form is the fraction 13/50. Since 'percent' means 'per hundred,' 26 percent would be equivalent to the fraction 26/100.

Answer:

The correct answer is 66,045

Answer:

[tex]t_4 = 20[/tex]

Step-by-step explanation:

The base case in the recursive function are:

[tex]t_1 = 1[/tex]

[tex]t_2 = 2[/tex]

The recursive case is equal to:

[tex]t_n = 2t_{n-1} + 3t_{n-2}[/tex]

So replace [tex]t_n[/tex] for [tex]t_4[/tex]:

[tex]t_4 = 2t_{3} + 3t_{2}[/tex]

In the new expression [tex]t_2[/tex] is a base case so you don't have to worry for that part, but [tex]t_3[/tex] is still the recursive case so evaluate again in [tex]t_n[/tex]

[tex]t_3 = 2t_{2} + 3t_{1}[/tex]

[tex]t_2[/tex] and [tex]t_1\\[/tex] are define as base cases so you replace for it's numbers:

[tex]t_3 = 2(2) + 3(1) = 7[/tex]

Now return to [tex]t_4[/tex] and replace for the new values:

[tex]t_4 = 2(7) + 3(2) = 14 + 6 = 20[/tex]

So the final answer is 20

Answer:

20:12

brainlest if it helped

Step-by-step explanation:

Answer:

20:12

Step-by-step explanation:

if you multiply 5:3 by 4, they'll end up with 20:12.

The rate is a fraction that compares the values of two quantities. The expected answers to the questions are given below:

1. Given that 3 cakes takes 6 hours to bake, then:

1 cake = [tex]\frac{6}{3}[/tex]

           = 2 hours

So that;

the number of cake to be baked in 12 hours = [tex]\frac{12 hours}{2 hours}[/tex]

                                    = 6

The number of cake to be baked in 12 hours is 6.

2. Ava's rate of pay = [tex]\frac{15}{2}[/tex]

                                 = $7.5 pr hour

Thus Ava's rate of pay is $7.5 per hour.

3. It took 5 hours to mow 6 yards. Thus;

To mow 1 yard = [tex]\frac{5}{6}[/tex] hours

The number of yards to be mowed in 20 hours = 20 ÷ [tex]\frac{5}{6}[/tex]

                                                = 20 x [tex]\frac{6}{5}[/tex]

                                                = 24

The number of yards to be mowed in 20 hours is 24.

4. Given that 10 bags of rice cost $12, then;

1 bag = [tex]\frac{12}{10}[/tex]

         = 1.2

1 bag = $1.2

The cost of a bag of rice is $1.2.

5. Rate = 30 miles per gallon

The number of gallons required = [tex]\frac{360}{30}[/tex]

                                        = 12

Thus 12 gallons would be required by the car to travel 360 miles.

6. Rate = [tex]\frac{75}{3}[/tex]

            = 25

Rate = 25 words per minute

The typing speed is 25 words per minute.

For more on rate, check: https://brainly.com/question/119866

Answer:

Step-by-step explanation:

So at 38mph you are roughly traveling .6333 miles a minute. So 13 miles would take you roughly 8.2 minutes. How does one figure out this?

We know that there are 60minutes in an hour. We know you’re driving 38miles per hour. Dividing 38 by 60 gives you the miles per minute. Multiple that by how many miles you’re driving to get an estimate of the minutes it takes to drive those miles.

cyclist a speed is d = v × t

so you can find velocity of a and b.

then compare them both.

Answer:

7 boys to 10 all children

Answer:

Step-by-step explanation:

Initial class size = 30 students

Class size now is 40% larger:

First let's find larged amount

[tex]\\ \sf\longmapsto 40\%\:of\:30[/tex]

[tex]\\ \sf\longmapsto 0.4(30)[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

Class size=30+12=42students

Answer:

part a: If  x  represents the number of pounds of cabbage and  y  represents the price in dollars, then  (5, 2)  means that  5  pounds of cabbage costs  $2.00.  If that is true, then  1  pound of cabbage will cost  $0.40. (divide both values by 5)

The ordered pair  (10, 4)  means that  10  pounds of cabbage cost  $4.00.

explanation: sorry its late but hope it helps

Answer:

-2.65

Step-by-step explanation:

Answer:

Step-by-step explanation:

55.345 is rounded off two places therefore, the hundreths place

the number next to 4 is 5 in the thousandths place. 5 is high and therefore 4 is changed to 5 and makes it 53.35

Hello!

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2x+5y=10

We want to turn this equation into y=mx+b form:

5y=-2x+10

Divide both sides by 5:

y=-2/5x+2

Now, the equation of the line parallel to it:

Remember, parallel lines have the same slope.

So these two lines have the same slope (-2/5)

Now, use Point-Slope form:

y-y1=m(x-x1)

y=1=-2/5(x-(-5)

y-1=-2/5(x+5)

y-1=-2/5x-2

y=-2/5x-2+1

y=-2/5-1

Hence, this is the required solution. I hope you find it helpful!

~SparklingFlower

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Answer:

6+x=15 (x=9)

Step-by-step explanation:

6 cookies + the newly baked ones = 15 cookies

we know there was 6 cookies and we knew that the result is 15, which means that we "don't know" how many cookies are baked. So the answer is 6+x=15

Answer:

∠b = 95°

Step-by-step explanation:

Assuming these angles are Supplementary, it would look something like this:

                                       /

                          ∠b      /    ∠a

  _______________/__________________

If this is true, and ∠a = 85°, then this means that ∠b must equal 95° because being supplementary angles means all angles add to 180°, so 180 - 85 = 95

Answer:

90° − 85° = 5°

Answer:34

Step-by-step explanation:

32+2=34

Answer:

= 34

Step-by-step explanation:

8t + 2 = (4) + 2 = 32 + 2 = 34

that's my answer , i wish my answer helps you

Answer:

Step-by-step explanation:

A' = (2 + 3, 1 + 2) = (5, 3)

B' = (-1 + 3, -3 + 2) = (2, -1)

C' = (3 + 3, -3 + 2) = (6, -1)

Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.

The standard errors are given by:

[tex]s_A = \frac{1.79}{\sqrt{18}} = 0.4219[/tex]

[tex]s_B = \frac{1.95}{\sqrt{18}} = 0.4596[/tex]

For the distribution of differences, the mean and the standard error are given by:

[tex]\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76[/tex]

[tex]s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239[/tex]

The interval is given by:

[tex]\overline{x} \pm ts[/tex]

The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.

Then:

[tex]\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058[/tex]

[tex]\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462[/tex]

The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check https://brainly.com/question/16162795