Simplify -y ^8 Write your answer with only positive exponents

Answer:

120 bicycles

Step-by-step explanation:

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Answer:

\(\text{C. }(5,2)\)

Step-by-step explanation:

The x-coordinate vertex of a parabola in standard form \(ax^2+bx+c\) is equal \(\frac{-b}{2a}\).

In \(y=3x^2-30x+77\), we have:

Therefore, the x-coordinate of the vertex is equal to \(\frac{-(-30)}{2(3)}=\frac{30}{6}=5\).

To find the y-coordinate, simply substitute \(x=5\) into the parabola's equation:

\(y=3x^2-30x+77,\\y=3(5^2)-30(5)+77,\\y=75-150+77,\\y=-75+77=2\)

Thus, the vertex of the parabola is \(\boxed{(5,2)}\)

Answer:

There were 35 cookies in the bag, she kept 21 for herself and gave 14 to Tim.

Step-by-step explanation:

2/5 = 40%

14 ÷ 40% = 35

14 is 40% of 35.

35 - 14 = 21

Answer:

After 16 months, Kenya will have paid $5,550

Step-by-step explanation:

This is a guess and check type of a problem.  You guess a number of months, plug it into x, and see if both equations come out with the same answer.

 If you plug 16 into the first dealer's equation, you get y= 200(16) + 2350.  Solving this equation will mean y equals 5550.

If you plug 16 into the second dealer's equation, you get y= 175(16) + 2750.

Solving this equation will mean y also equals 5550.

Answer:

5.24

Step-by-step explanation:

The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

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Answer: (1,4) (2,8) (3,12)

Step-by-step explanation:

Answer:

-0.63

Step-by-step explanation:

-5.945 / 9.5 = -0.625

since the number after the 2 is 5 or greater, we round it to the next number which is 3.

Answer:

3/4

Step-by-step explanation:

Convert the fractions into decimals.

5/8 = 0.625

3/4 = 0.75

0.75 is greater than 0.625.

Answer:

B.1.25

Step-by-step explanation:

Answer:

B. 1.25

Step-by-step explanation:

Just divide 10 with 8

it's a right angled triangle so we will use hypotenuse formula to get the value of x

hypotenuse formula = a² + b² = c²

a = side of the triangle

b = base of traingle

c = hypotenuse ( can be written as h too)

and the formula can also be written as.

c² = a² + b²

therefore, x = 12.1

hope this answer helps you dear...take care!

Answer:

73

Step-by-step explanation:

to get the average you add all five together and divide by the number of scores, which is five

Answer:

30

Step-by-step explanation:

150/5 = 30

Answer: 30

Step-by-step explanation:

Answer:

A,D,F are less then 1/2

Step-by-step explanation:

Answer:

1/8

1/16

1/6

Step-by-step explanation:

1. 1/2 = 0.5              2. 1/2 = 0.5

  1/6 = 0.167               1/8 = 0.125

Answer:

18

Step-by-step explanation:

First, I will write 5  2/5 as an improper fraction.

Dividing a fraction is the same as multiplying by the reciprocal

So:

27/5*10/3

Which is equal to 54/3, but can be simplified to

18

Answer:

18

Step-by-step explanation:

27/5 ÷ 3/10

= 27/5 x 3/10

= 270/18

= 18

The height of the kite Nora is flying above the ground to the nearest tenth of feet is 55.7 ft.

The situation forms a right-angle triangle.

Right angle triangle has one of its angles as 90 degrees.

let's find the height of the kite from his hand as follows;

sin 23° = opposite / hypotenuse

sin 23° = x / 135

cross multiply

x = 135 sin23°

x = 135 × 0.39073112848

x = 52.7487023461

x = 52.75 ft

Therefore, the height of the kite from the ground is as follows:

height from ground = 3 + 52.7487023461 = 55.7487023461

height from ground ≈ 55.7 ft

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A, percentages

You would see percentages on a circle graph, because it's how many parts of the whole that they take up.

Happy to help, have a great day! :)

Answer:

P(defective)= 135

P(not defective)= 2365

Step-by-step explanation:

2500-135=2365

The probability of picking a defective light bulb is 27 / 500.

The probability of picking a not defective light bulb is 473 /500.

Probability is used to determine the odds that a random event would happen. The odds that an event would happen usually lies between 0 and 1.

The probability of picking a defective light bulb = number of defective bulbs / total number of bulbs

135 / 2500 = 27 / 500

The probability of picking a not defective light bulb = number of non defective bulbs / total number of bulbs

(2500 - 135) / 2500 = 2365 / 2500 = 473 /500

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The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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1.3333l

hope it helps...!!!

The boxplot required to answer the question has been attached below

Answer:

E

Step-by-step explanation:

The maximum value on a box plot can be obtained by taking the value at the end of the whisker positioned to the right of the box in the boxplot. From the boxplotvgiven above, the maximum value provided by the endpoint of the right hand side whisker is 48. The 48 point mark is labeled as E in the plot.

Hence, the letter depicting the maximum value position on the box plot is the letter E

Answer:

71,576,960

Step-by-step explanation:

I hope that helps

Answer:71,576,960

Step-by-step explanation:

Answer:

The answer is ⁵√a²

Step-by-step explanation:

a⅖=⁵√a²

Answer:

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 12 on the left side and the dividend 155 on the right side like this:

 1 2 ⟌ 1 5 5

Step 2:

The divisor (12) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 2 ⟌ 1 5 5

Step 3:

Multiply the divisor by the result in the previous step (12 x 0 = 0) and write that answer below the dividend.

       0    

 1 2 ⟌ 1 5 5

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 2 ⟌ 1 5 5

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

Step 6:

The divisor (12) goes into the bottom number (15), 1 time(s). Therefore, put 1 on top:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

Step 7:

Multiply the divisor by the result in the previous step (12 x 1 = 12) and write that answer at the bottom:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

       1 2  

Step 8:

Subtract the result in the previous step from the number written above it. (15 - 12 = 3) and write the answer at the bottom.

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3  

Step 9:

Move down the last digit of the dividend (5) like this:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

Step 10:

The divisor (12) goes into the bottom number (35), 2 time(s). Therefore put 2 on top:

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

Step 11:

Multiply the divisor by the result in the previous step (12 x 2 = 24) and write the answer at the bottom:

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

         2 4

Step 12:

Subtract the result in the previous step from the number written above it. (35 - 24 = 11) and write the answer at the bottom.

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

     -   2 4

         1 1

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 155 divided by 12 calculated using Long Division is:12

11 Remainder

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer: D: 1/5

Step-by-step explanation:

sinx = 5/13

this ratio is special; it is a 5-12-13 right triangle, (pythagorean triple).

there is also a formula to find tan(x/2); It is tan(x/2) = ±\(\sqrt{\frac{1-cosx}{1+cosx} }\)

the + or - sign is decided by the quadrant the half angle is in;

since x is in quad one, it is somewhere between 0 and pi/2. To find the half angles position, simply divide it; x/2 is somewhere between 0/2 and pi/4.

so its also in the first quadrant. Since tangent is positive in the first quadrant, we will take the positive answer:

One more thing. we need the cosx in our formula. cosx will be 12/13, since this is a special right triangle as we said before.

tan(x/2) = \(\sqrt{\frac{1-12/13}{1+12/13} }\)

tan(x/2) = \(\sqrt{\frac{1/13}{25/13} }\)

tan(x/2)= \(\sqrt{1/25}\)

tan(x/2) = 1/5

Option D is the answer :)