The coldest surface temperature on the moon is 57 degrees colder than twice the coldest surface on Earth. What is the coldest surface temperature on Earth if the coldest temperature on the moon is -116 degrees?

Answer:

true

Step-by-step explanation:

on a football feild there are 4,320 inches and on a basketball court there are 2,865 centemeters

Answer: (x, y - 8)

Step-by-step explanation:

Start with the innermost parentheses (reflection over the y-axis), which changes the sign of the y-coordinate:

Now perform the next inner parenthesis (rotation 180°), which changes the signs of both the x- and y-coordinates:

Now perform the last set of parenthesis (reflection over y=4), which has the rule of (x, y) → (x, y + 2(4 - y))  = (x, y + 8 - 2y)  =  (x, 8 - y):

Answer:

[tex]y= 51(1.5)^x[/tex]

Step-by-step explanation:

The ordered pairs model an exponential growth function. {(−1,34), (0,51), (1,76.5), (2,114.75)}

Exponential function equation is y=ab^x

Lets plug in the ordered pairs and find our 'a'  and 'b'

(0,51)

[tex]51= ab^0[/tex]

a= 51

(−1,34)

[tex]34= 51b^{-1}[/tex]

Divide both sides by 51

[tex]\frac{34}{51} = b^{-1}[/tex]

So b = 51/34

b= 1.5

Plug in the values of 'a'  and 'b'

Equation becomes [tex]y= 51(1.5)^x[/tex]

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

30% chance that the company will lose $30000.

40% chance of a break even that there is no loss and no profit.

30% chance that the company will profit $ 60000.

As we know the formula for "Expectation":

So, Expected value will be

[tex]\frac{30}{100}\times (-30000)+\frac{40}{100}\times 0+\frac{30}{100}\times 60000\\\\=03\times (-30000)+0.4\times 0+0.3\times 60000\\\\=-9000+18000\\\\=\$9000[/tex]

Expected value is $9000. So, the company should proceed with the project.

Hence, Option 'A' is correct.

Answer:

24 munchkins.

Step-by-step explanation:  

Let C be the number of chocolate and D be number of glazed donut holes in the original box.

We are told if Jacob ate 2 chocolate  munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

[tex]C-2=\frac{1}{11}*(C+D-2)...(1)[/tex]

We are also told if he instead added 4  glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:

[tex]C=\frac{1}{7}*(C+D+4)...(2)[/tex]

Upon substituting C's value from equation (2) in equation (1) we will get,

[tex]\frac{1}{7}*(C+D+4)-2=\frac{1}{11}*(C+D-2)[/tex]

Let us have a common denominator on right side of equation.

[tex]\frac{1}{7}*(C+D+4)-\frac{7*2}{7}=\frac{1}{11}*(C+D-2)[/tex]

[tex]\frac{C+D+4-14}{7}=\frac{1}{11}*(C+D-2)[/tex]

Multiplying both sides of our equation by 7, we will get,

[tex]7*\frac{C+D-10}{7}=7*\frac{1}{11}*(C+D-2)[/tex]

[tex]C+D-10=\frac{7}{11}*(C+D-2)[/tex]  

Multiplying both sides of our equation by 11, we will get,

[tex]11*(C+D-10)=11*\frac{7}{11}*(C+D-2)[/tex]  

[tex]11*(C+D-10)=7*(C+D-2)[/tex]

[tex]11C+11D-110=7C+7D-14[/tex]

[tex]11C-7C+11D-7D=-14+110[/tex]  

[tex]4C+4D=96[/tex]

[tex]4(C+D)=96[/tex]  

[tex](C+D)=\frac{96}{4}[/tex]

[tex](C+D)=24[/tex]

Therefore, the total number of Munchkins in original box is 24.

Answer: 33

Step-by-step explanation:

           Today                3 years ago

Ben:   x + 20                  (x + 20) - 3    

Dan:     x                          x - 3

  3 years ago, Ben was 3 times as old as Daniel

⇒  (x + 20) - 3  = 3(x - 3)

       x + 17        = 3x - 9

             17        = 2x - 9

             26       = 2x

             13        = x

Today, Ben = x + 20

                   = 13 + 20

                   = 33

Answer:

Ben is 33 years old

Step-by-step explanation:

Let Ben’s age = B

Let Daniel’s age = x

B = x + 20  (20 years older than Daniel)

Their ages 3 years ago:

B = 3x  (also given in problem)

B = x + 20  (given in problem)

x + 20 = 3x  (Since both equations are equal to B, set them equal to each other)

20 = 2x (simplify)

x = 10

B = 10 + 20 = 30

Their ages now:

Add 3 to their "ages three years ago"

New x = Daniel’s age = old age + 3 = 10 + 3 = 13 years old

B = Ben’s age = old age + 3 = 30 + 3  = 33 years old

Answer:

D. [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

We have been given that the probability of an event is 3/10.  

To find the odds of the same event we will use formula:

[tex]\text{Odds of an event}=\frac{\text{Probability of the event}}{\text{1-Probability of the event}}[/tex]

[tex]\text{Odds of the event}=\frac{\frac{3}{10}}{1-\frac{3}{10}}[/tex]

[tex]\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{1*10}{10}-\frac{3}{10}}[/tex]

[tex]\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{10-3}{10}}[/tex]

[tex]\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{7}{10}}[/tex]

Dividing a fraction with another fraction is same as multiplying the 1st fraction by the reciprocal of second fraction.

[tex]\text{Odds of the event}=\frac{3}{10}\times \frac{10}{7}[/tex]

[tex]\text{Odds of the event}=\frac{3}{7}[/tex]

Therefore, the odds of the same event is [tex]\frac{3}{7}[/tex] and option D is the correct choice.

Answer:

The slope is 2

The slope represents  how much it costs per visit the pool.

We have a positive slope when lines go  from bottom left to top right

The y intercept is where we cross the y axis which is 4.

x is the  number of visits to the pool

y is the  total cost in dollars

f(x) = 2x+4

Step-by-step explanation:

To find the slope we take two point ( 0,4) and (1,6)

and use the formula

m = (y2-y1)/(x2-x1)

  = (6-4)/(1-0)

 m= 2/1

The slope is 2

It represents  how much it costs per visit the pool.

We have a positive slope when lines go  from bottom left to top right

The y intercept is where we cross the y axis which is 4.

x is the  number of visits to the pool

y is the  total cost in dollars

f(x) = mx+b  where m is the slope and b is the y intercept

f(x) = 2x+4

Answer:

the answer is D edge 2021

Step-by-step explanation:

Answer: The Answer is B

Step-by-step explanation:

FIrst we see post 7 and -5 we need to cancel out seven sooooo we make sevena a neg and do -5 and -7 and we get -12 we divide this by -2 and we get post 6

x=6

-2x+7=-5

-2(-7)+7=-5(-7)

-2(-2)x=-12(-2)

x=6

Answer:

b  6

Step-by-step explanation:

-2x+7 = -5

Subtract 7 from each side

-2x +7-7 = -5 -7

-2x = -12

Divide by -2

-2x/2 = -12/-2

x=6

Answer: D

Step-by-step explanation:

log₂ (x - 4) = 4

        x - 4 = 2⁴

        x - 4 = 16

        x      = 20

Answer:

i got 185.4 so basically 184.

412 times 5% equals 20.6

times that by 9 for 9 months then that gives you the answer.

Answer:

1. The population increases exponentially, therefore the number of members in the team will increase by the equation modeled by :

[tex]\text{Number of members = }a_0(1+\frac{Rate}{100})^{Time}\\\\\implies\text{Number of members = }412(1+\frac{5}{100})^9\\\\\implioes\text{Number of members after 9 months = }639[/tex]

2. Total cost of the toy is calculated by multiplying the initial cost and the amount of tax charged on the toy.

Here, 15.85 represents the initial cost of the toy

Hence, 1 + x represents the amount of tax charged on the toy.

3. Rate per year is given to be 12.5%

Now, to find monthly rate, divide the yearly rate by 12

[tex]\text{Monthly Rate = }\frac{12.5}{12}=1.04\%[/tex]

4. Rate per year is given to be 20%

Now, to find monthly rate, divide the yearly rate by 12

[tex]\text{Monthly Rate = }\frac{20}{12}\approx 1.7\%[/tex]

5. The value of a truck after t years is represented by the function f(t)=22,200(0.92)t .

Here, 2200 is the initial value of the truck.

Lisa spends 4 minutes per call, so to spend a total of 12 minutes on the phone, she needs to route 3 calls.

Lisa spent 8 minutes on the phone routing 2 phone calls, which means she spends 4 minutes per call. This is calculated using the unit rate which is the time spent per phone call. To find out how many phone calls Lisa would have to route to spend a total of 12 minutes, we can set up a proportion where 4 minutes corresponds to 1 phone call (the unit rate), and 12 minutes corresponds to the number of phone calls we want to find (let's call it x calls).

The proportion is as follows:

4 minutes/1 call = 12 minutes/x calls

Cross-multiplying to solve for x gives us:

4 * x = 12 * 1

4x = 12

x = 12 / 4

x = 3 calls

Therefore, Lisa needs to route a total of 3 calls to spend 12 minutes on the phone.

Answer:

[tex]g(x)= 24(3)^{x-2}+6[/tex]

Step-by-step explanation:

f(x)=8(3)^x−2 +2

The graph of f(x) is stretched vertically by a factor of 3 to form the graph of g(x)

When f(x) is stretched vertically then we multiply f(x) by 3 to get g(x)

g(x) = 3f(x)

[tex]g(x)= 3(8(3)^{x-2}+2)[/tex]

Now we distribute 3 inside the parenthesis

[tex]g(x)= 24(3)^{x-2}+6[/tex]

This is our required g(x)

Answer:

The equation should read c = 61m + 75

Step-by-step explanation:

We can find this because we know that the 61 dollars is a dependent cost on the number of months. Therefore they have to be multiplied together.

The 75 is a constant, which means it gets added to the end.

Answer:

B on edg

Step-by-step explanation:

You got this chief.

Hello from MrBillDoesMath!

Answer:

10.2

Discussion:

Let the length of the missing side = "s" Applying the Pythagorean theorem to this right triangle gives:

4^2 + s^2 = 11^2    =>

16 + s^2 = 121        =>             ( 4*4 = 16, 11*11 = 121)

16 - 16  + s^2 = 121 - 16 =>     (subtract 16 from both sides)

s^2 = 105 =>

x = sqrt (105)

which is approximately 10.2

Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

Answer:

see attached diagram

Step-by-step explanation:

A dilation with a scale factor of [tex]\dfrac{1}{3}[/tex] centered at the origin has a rule:

[tex](x,y)\mapsto\left(\dfrac{x}{3},\dfrac{y}{3}\right).[/tex]

Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates

Hi There!

Solution + Answer:

2 gallons of milk: 3.29 * 2 = $6.58

4 gallons of ice-cream: 3.59 * 4 = $14.36

5 pounds of strawberries: 0.72 * 5 = $3.60

Total price before tax: 6.58 + 14.36 + 3.60 = $24.54

Tax: 24.54 * 0.0375 = $0.92025

Total price after tax: 24.54 + 0.92025 = $25.46025

Round: 25.46025 = $25.46

Hope This Helps :)

According to the question,

2 gallons of milk,

= [tex]3.29\times 2[/tex]

= [tex]6.58[/tex] ($)

4 gallons of ice-cream,

= [tex]3.59\times 4[/tex]

= [tex]14.36[/tex] ($)

5 pounds of strawberries,

= [tex]0.72\times 5[/tex]

= [tex]3.60[/tex] ($)

Now,

The total price before tax will be:

= [tex]6.58+14.36+3.60[/tex]

= [tex]24.54[/tex] ($)

The tax will be:

= [tex]24.54\times 0.0375[/tex]

= [tex]0.92025[/tex] ($)

hence

The total price after tax will be:

= [tex]24.54+0.92025[/tex]

= [tex]25.46025[/tex]

or,

= [tex]25.46[/tex] ($)

Learn more about sales tax here:

https://brainly.com/question/9696935

Answer:

22662

Step-by-step explanation:

14000(1+3.5/100)^14

The population after 14 years is 22662.

It is given that,

Explanation:

The exponential growth model is:

[tex]P=P_0\left(1+r\right)^t[/tex]

Where, [tex]P[/tex] is population after [tex]t[/tex] years, [tex]P_0[/tex] is the initial population and [tex]r[/tex] is the growth rate.

Substituting [tex]P_0=14000,r=0.035,t=14[/tex] in the above equation.

[tex]P=14000\left(1+0.035\right)^{14}[/tex]

[tex]P=14000\left(1.035\right)^{14}[/tex]

[tex]P=22661.7233[/tex]

[tex]P\approx 22662[/tex]

Thus, the population after 14 years is 22662.

Learn more:

https://brainly.com/question/15004932

The given polynomial only has one exponent, so the degree of the polynomial is the number of the exponent.

The degree is 3.

Answer:

The cost of the 40 rulers is £8 .

Step-by-step explanation:

As given in the question

15 rulers cost £3

i.e

15 rulers = £3

Cost of the one ruler.

[tex]1\ ruler = \frac{3}{15}[/tex]

1 ruler cost =  £ 0.2

Now find out the cost for 40 rulers .

Cost for 40 rulers = 40 × 0.2

                              = £8

Therefore the cost of the 40 rulers is £8 .

The question involves finding the unit price of a ruler and then finding the cost of 40 rulers. The price for one ruler is £0.2, and hence, the price for 40 rulers would be £8.

This is a mathematics question about unit price and proportionality. First, we need to find the price of one ruler by dividing the total cost by the number of rulers. So, £3 divided by 15 rulers is £0.2 per ruler. To find out how much 40 rulers costs, we multiply the price of one ruler by the quantity we desire which is 40 rulers. So, £0.2 multiplied by 40 equals to £8.

Therefore, the cost of 40 rulers would be £8.

https://brainly.com/question/22237949

#SPJ3

Answer:

(no horizontal asymptotes found)

Step-by-step explanation:

Final answer:

A disadvantage of using credit is that it can be tempting to overspend.

Explanation:

A disadvantage of using credit is that it can be tempting to overspend.

When using credit, individuals can easily spend more than they can afford, leading to financial difficulties and debt. It is important to use credit responsibly and only borrow what can be comfortably repaid.

The empirical rule states that at 95% the measurements would be within 2 standard deviations of the mean.

You are given a mean of 68 inches and a standard deviation of 4.

2 times the standard deviation = 2 x 4 = 8

So 95% of the heights would be between 68-8 = 60 inches and 68+8 = 76 inches.

Answer:

60 -76 is the range

Step-by-step explanation:

As the graph shows, if we are in 2 standard deviations of the mean, we are in (34.1 + 13.6) *2 = 47.7*2 = 95.4 %

Our mean is 68

2  standard deviations is 2 * 4 = 8

68-8 = 60

68 * 8 = 76

We need to be between 60 and 76 to have at 95% confidence interval

Answer:

Step-by-step explanation:

Problem One (left panel)

Question A

Question B

The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2  miles / hour^2 (you have a slight acceleration.

Question C

The way I have done it the domain is n from 1 to 6

Question 2 (Right Panel)

Question A

The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.

Part B

Answer:

x = 21.5

Step-by-step explanation:

In the given trapezoid, the angles are consecutive interior angles.

i.e, consider the parallel sides of a trapezoid as parallel lines and the common side as the transversal. So, it is parallel lines cut by a transversal make a pair of consecutive interior angles which are supplementary.

i.e,

(5x + 13)° + (3x - 5)° =180°

5x + 13 + 3x - 5 = 180

8x + 8 = 180

8x = 180 - 8 =172

x= 172/8 = 21.5

So, 5x + 13 = 5(21.5) + 13 = 120.5°

3x - 5 = 3(21.5) -5 = 59.5°

Answer:

Correct choice is D (1,0) and (-2,-1)

Step-by-step explanation:

Triangle DBC has vertices B(-3,1), C(3,3) and D(-1,-3). By the triangle midline theorem, the midline joining the midpoints of two sides is parallel to the third side. Thus, you have to find the coordinates of the midpoints of the sides DB and DC of the triangle DBC.

Let point E be the midpoint of the side BD, then point E has coordinates [tex]\left(\dfrac{x_B+x_D}{2},\dfrac{y_B+y_D}{2}\right).[/tex] If B(-3,1) and D(-1,-3), then

[tex]E\left(\dfrac{-3+(-1)}{2},\dfrac{1+(-3)}{2}\right)\Rightarrow E(-2,-1).[/tex]

Let point F be the midpoint of the side DC, then point F has coordinates [tex]\left(\dfrac{x_C+x_D}{2},\dfrac{y_C+y_D}{2}\right).[/tex] If C(3,3) and D(-1,-3), then

[tex]F\left(\dfrac{3+(-1)}{2},\dfrac{3+(-3)}{2}\right)\Rightarrow F(1,0).[/tex]

Answer:

D: (1,0) and (-2,-1)

Step-by-step explanation:

if you where to plot all the other answers and take a straight edge (ruler) and drew a line through them you would find this is the only proper answer. and i used geogebra

Answer:

The correct answer is B) y – 2 = (x – 3)

Step-by-step explanation:

In order to find this, look at the base form of point-slope form.

y - y1 = m(x - x1)

Seeing as there is subtraction symbols after x and y, we know that we would be subtracting the x and y values. Since 2 is the y value, it would go in for y1 and 3 being the x value puts it in for x1. Once you do that, you'll get the equation above.

Answer:

-1/2

Step-by-step explanation: