The equation 7^2=a^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased?

So, when x = -10.

If you notice, -10 is NOT in the domain (the domain is (-3,13))

so, there is no solution.

Answer: -24

Step-by-step explanation:

Step one :

For the first equation

Given that x=-10

F(x) =2x-4 if 3<x<10

x exists in this domain

Substituting x in the equation we have

F(-10)=2(-10)-4

F(-10)= -20-4

F(-10)=-24

Step two :

For the second equation

Given that x=-10

F(x) =x²-+3 if 10<=x<13

x does not exist in this domain

The kinetic energy of the girl is 120 J while the dog has 40 J.

if the dog speeds up, it would have a kinetic energy of 160J.

In order to get these answers, you need to use the formua for kinetic energy which is KE=1/2 mv^2. mass=m, v=velocity and KE= Kinetic Energy.

Answers of tthe questions are reasonable because you would gain more energ if you run faster and also more energy if you gain more mass.

Answer:

1.2.75

2.1.5

Step-by-step explanation:

I just did it

The scale factor is determined by the ratio of the lengths of corresponding sides of two similar figures. To find QY, divide QY' by the scale factor.

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. In this case, line WY and line W'Y' are similar figures, and the scale factor is determined by the ratio of their lengths. The scale factor can be calculated by dividing the length of W'Y' by the length of WY. Given that QY' = 4.125, the scale factor can be determined by dividing QY' by QY. So, the scale factor is 4.125/QY. To solve for QY, divide QY' by the scale factor: QY = QY'/scale factor. Therefore, QY = 4.125/(4.125/QY) = (4.125*QY)/4.125 = QY.

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Add the two distances together to find the total distance travelled.

6.37+5.45=11.82

Luis's journey is 11.82 kilometers long.

I hope this helps :)

Luis's journey was 11.82 kilometers long.

Option: D is the correct answer.

The probability is: 0.50

Weight/Calories  1000-1500   1500-2000  2000-2500   Total

    120 lb.                 90               80                   10               180

    145 lb.                 35               143                  25              203

    165 lb.                  15                27                  75               117

    Total                140               250                110             500

We are asked to find the probability that a person consumes 1500-2000 calories in a day.

Total number of people who were surveyed=500

Total number of people who consume 1500-2000 calories in a day are:250

              Hence, Probability is:

                250/500=1/2=0.50

Answer:  D. 0.50

Step-by-step explanation:

Formula for probability :

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

The given two-way table :

Weight/Calories   1000-1500   1500-2000  2000-2500     Total

   120 lb.                   90               80                   10               180

   145 lb.                   35               143                  25              203

   165 lb.                   15                27                  75               117

  Total                    140               250                110                500

To find the probability that a person consumes 1500-2000 calories in a day., we need :

a) The total number of people surveyed.  (Total outcomes)

b)  The number of people consume 1500-2000 calories in a day. (favorable outcomes)

From the above table,

Total people surveyed=500

Number of people consume 1500-2000 calories in a day are=250

Then , the required probability will be :-

[tex]\text{P(person consumes 1,500 to 2,000 calories in a day)}=\dfrac{250}{500}=\dfrac{1}{2}\\\\=0.50[/tex]

Hence, the probability that a person consumes 1,500 to 2,000 calories in a day=0.50

length = y

width = length-3 = y-3

Area = (length)(width) = y(y-3) = y^2-3y

The final answer is y^2-3y

First statement : Six more than three times a number is less than or equal to 96.

Let us assume number be n.

We can repharse above statement as :

"6 more than 3 times of n is less than or equal to 96".

Therefore, we can write an ineuality as.

3 times of n = 3n

6 more than 3 times of n = 3n+6.

3n+6 ≤ 96.

_____________________________________________________________

Statement 2: Five less then half the distance from Jerod’ s home to the mall is more then 6 miles.

Let us distance from Jerod’ s home to the mall is d.

We can repharse above statement as:

5 less than 1/2 of d is more than 6 miles.

5 less than 1/2 of d = 1/2d -5 .

Therefore, we can write an ineuality as.

12d -5 > 6.

Answer:

I did this on a Calc. but it is 6.666667

Step-by-step explanation:

Calculator

To divide 20 by 3, we use long division. The quotient is 6 remainder 2, or 6.67 as a decimal.

To divide 20 by 3, we can use long division. The divisor, 3, goes into the first digit of the dividend, 2, once. We then multiply 3 by 1, which equals 3, and subtract that from 2. The remainder is 2. We bring down the next digit, 0, and the divisor goes into 20 six times. We then multiply 3 by 6, which equals 18, and subtract that from 20. The remainder is 2. Since there is no longer a digit to bring down, we have our final answer: 20 divided by 3 equals 6 remainder 2, or 6.67 as a decimal.

[tex]replace y by x and vice versa, then solve for y:

y=-2x+5 \rightarrow x=-2y+5 \implies y=-\frac{1}{2}(x-5)[/tex]

(3/4)+(1/5(1/4)

As my thinking, this is the answer...

please click on the thanks button if this was helpful..

Have a great day!

Answer:

0.8

Step-by-step explanation:

3/4+1/5=0.8 or 8/10

the slope is 9 and the y-intercept is - 2

the equation of a line in ' slope-intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

y = 9x - 2 is in this form

with slope m = 9 and y-intercept c = - 2

Answer:

You can watch 13 movies

Step-by-step explanation:

Cost of Carl's Cable Company:

Cost of Teleview Cable Company

Lets take that you watch [tex]x[/tex] paper view movies per month.

Then the cost of paper view movies = $[tex]4*x[/tex]

Now we can calculate the total cost of cable TV if you watch [tex]x[/tex] paper view movies per month.

Total cost = Monthly service + Paper view movie cost

                 =[tex]55+4x[/tex]

Now we can write an inequality for the Cost of Car's Cable Company cost being less than Teleview as follows;

[tex]55+4x≤110[/tex]

Now we can solve this inequality and find [tex]x[/tex] the number of movies you can watch so that the Cost of Carl's cable company will be less than teleview.

[tex]55+4x≤110[/tex]

=[tex]4x≤110-55[/tex]

=[tex]4x≤55[/tex]

=[tex]x≤13.75[/tex]

Therefore, if you watch less than 13.75 movies per month the cost of Carl's cable company cost will be less than Teleview.

So you can watch 13 movies (Number of movies has to be a whole number)

[tex]|-5-8|=|-13|=13[/tex]

the answer for this question  is 13

One hour = 60 minutes

If it is travelling at 75 kilometers per hour, we can divide 75 by 60 to find out how fast it can travel in one minute.

75/60 = 1.25

The car can travel 1.25 kilometers per minute.

However, the questions is asking how many meters it travels in one minute.

A kilometer is 1000x the size of a meter.

Thus, if we multiply 1.25 by 1000x we'll get the amount of meters.

1.25 * 1000 = 1250

The car travels 1250 meters in one minute.

Final answer:

A car traveling at 75 km/h covers 1,250 meters in one minute by converting the speed to meters per hour and then dividing by the number of minutes in an hour.

Explanation:

To convert the car's speed from kilometers per hour to meters per minute, we can use the following conversion factors: There are 1,000 meters in a kilometer and 60 minutes in an hour. Therefore, if a car is traveling at 75 kilometers per hour, we can calculate the distance it travels in one minute as follows:

So, a car traveling at 75 kilometers per hour travels 1,250 meters in one minute.

approximately 5% of the time. In decmial form, it is 0.0516129032. If it is in fraction from, then it is 8/155. To explain, you find the total number of cookies. Then you find the number of peanut butter cookies and put that as the numerator over the total as the denominator. After that, you find the number of cookies left after Jose eats one cookie. That becomes the denominator and then find the amount of chocolate chip cookies ib the bag and put it over that total. Multiply both fractions together to get this answer.

The probability that Jose first selects a peanut butter cookie and then a chocolate chip cookie from a bag of 31 cookies is 8 out of 155.

This problem is a question of probability, which is a branch of Mathematics. Probability determines how likely an event is to occur out of the total number of possible outcomes. We'll calculate it step by step:

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Farmer Gray planted 300 seeds.

To find this, you simply multiply the number of flower pots (30) by the number of seeds in each pot (10). Thus making the answer 300.

I hope this helps!

Eight less than a number = n - 8

One-third the number = 1/3 * n or n/3

So eight less than a number is one-third the number"

n - 8 = n/3

Answer is c) n-8 = n/3

[tex]3-6(z-2)^3\\\\\text{Put the value of z = -2 to the expression:}\\\\3-6(-2-2)^3=3-6(-4)^3=3-6(-64)=3+384=387[/tex]

Answer:

387.

Step-by-step explanation:

Given : 3-6(z-2)³.

To find : What is value if z = -2.

Solution : We have given

3-6(z-2)³.

Plugging the z = -2

3 - 6( -2- 2)³.

3 - 6( -4)³.

3 - 6 ( -64).

3 + 384.

387

Therefore, 387.

Given equations : Equation A:  4y -3x =16 and

Equation B: -x-8y =3.

We are given a point (-5,0.25) plugging it in first equation

4(0.25) -3(-5) =16

1+15 =16.

16 =16 : Satisfies first equation.

We are given a point (-5,0.25) plugging it in second equation.

-(-5)-8(0.25) =3.

5 - 2 = 3.

3=3.

larger angle = 50°

complementary angles sum to 90° , hence

2x + x + 30 = 90

3x + 30 = 90 ( subtract 30 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

thus 2x = 2 × 20 = 40° and x + 30 = 20 + 30 = 50°

the larger angle is x + 30 = 50°

One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).

Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.

The unit rate is 2,86:2,50

The answer is b. It is the only choice that equals the right answer. You could also write this as 3 * 10^4, which is equivalent to b.

First count how many zeros 30,000 has it has four. So you need to multiply it by something that has four digits. So B. 3 x 1000. Or expressed in scientific notation.

3 × [tex]10^{4}[/tex]

The two number would be 14 and 15.

This would be because 14x15=210 (the product) and 210/2=105 (half the product)

Answer:

true

Step-by-step explanation:

Answer:

x=12.50

y = 17.50

Step-by-step explanation:

x = Amount of one Derek withdrawal

then amount of John withdrawal =x+5

Total withdrawals of Derek = no of times x one time withdrawal

= 7(x) = 7x ... i

No of John withdrawal = no of times x one time withdrawal

= 5(x+5)  ... ii

Given that i and ii are equal

i.e. 7x =5(x+5)

7x = 5x+25

2x =25

x = 12.50 dollars

Y = 17.50 dollars

Checking part:

total derek withdrawal = 7(12.5) =87.50

Joh's withdrawal = 5(17.50) = 87.50

Since both are equal, our answers are right.

Solution:  Derek withdrew each time 12.50 dollars each for 7 times and John withdrew 17.50 dollars each for 5 times.

The y-intercept is the point where the line crosses the vertical y-axis.

answer:  [tex]x = 11[/tex]

work:

[tex]3(x+4)=5(x-2)[/tex]  | distribute 3 and 5 into the parentheses.

[tex]3x + 12 = 5x - 10[/tex]  | subtract 5x and move it over to 3x, and solve.

[tex]-2x + 12 = -10[/tex]  | subtract 12 and move it over to -10, and solve.

[tex]-2x = -22[/tex]  | divide by -2.

[tex]x = 11[/tex]  | final answer.

hope this helps! ❤ from peachimin

Gotcha!

3(x+4)=5(x-2)

Distributive Property

3x+12=5x-10

Subtract 5x from 3x & 12 from -10

So far, you would have: -2x=-22

Divide both sides by -2!

Answer: x=11