The slide is 4 meters due west of the tire swing and 3 meters due south of the monkey bars. What is the distance between the tire swing and the monkey bars?

We have been given that the cost of admission is ​$48 for four pets and ​$96 for eight pets. We are asked to determine the independent variable and the dependent variable in the given linear relationship.

We can see that as the number of pets is increasing cost of admission is also increasing. This means that cost depends on number of pets.

Therefore, cost of admission is dependent variable and number of pets is independent variable.

To find rate of change, we will use slope formula.

We have been given two points on line that are (4,48) and (8,96).

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Upon substituting the coordinates of our given points in slope formula, we will get:

[tex]m=\frac{96-48}{8-4}[/tex]

[tex]m=\frac{48}{4}[/tex]

[tex]m=12[/tex]

Therefore, the rate of change is $12 per pet.

Answer:

D)The height of the red prism is three times the height of the blue prism

Step-by-step explanation:

Here is the complete question

Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.

which statement is true?

a)The height of the red prism is one-third the height of the blue prism

B)The height of the red prism is the same as the height of the blue prism

C)The height of the red prism is six times the height of the blue prism.

D)The height of the red prism is three times the height of the blue prism

Solution

Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂

A₂h₁/3 = A₂h₂

h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.

Answer:

D

Step-by-step explanation:

Answer:

5.54

Step-by-step explanation:

5.54 is the (MAD)

Answer:

There is no answer to this, closest answer is the 1st choice

Step-by-step explanation:

Answer:

If you flip three fair coins,what is the probability that you'll get heads on the first two flips and tails on the last flip? So I have 3 coins and I flip them ... If H = Heads and T = Tails, your possible outcomes are. HHH. HHT. HTH. THH. HTT ... So, the probability of HHT is 1/8 = 0.125 = 12.5%. Upvote • 0 Downvote.

Step-by-step explanation:

Answer:

x = 55 degrees.

y = 49 degrees.

Step-by-step explanation:

AB =  AD and BC = DC so we have 2 isosceles triangles here thus the base angles are equal.

Therefore  m < y = (180 - 82)/2 = 98/2

= 49 degrees.

m < x = (180 - 2*35)/2 = 55 degrees.

Step-by-step explanation:

Ratio of pizza =

16 : 12 = 8 : 6 = 4 : 3

Answer:

5 miles

Step-by-step explanation:

since she hopped in yards you must mulitiply both numbers 3520 and 5280 by 3 since there are three feet in a yard. then add together then divide the sum by 5280 since a mile is 5280 feet.

3520 X 3 = 10560

5280 X 3 = 15840

10560 + 15840 = 26400

26400/ 5280 = 5

Answer:

Step-by-step explanation:

A. The extreme point which can be the maximum or minimum is called the vertex.

B. Parabolas increase or decrease which refers to the maximum or minimum.

Answer:

The volume of the large box is 384 cubic units

Step-by-step explanation:

Here, we have;

The number of cubes along the base of the front of the large box (width) = 8 cubes

The number of cubes along the base of the side of the large box (length) = 8 cubes

The number of cubes along the right  side of the front of the large box (the box height)  = 6 cubes

The volume of the large box = Length × Width × Height

∴ The volume of the large box = 8 cubes × 8 cubes × 6 cubes = 384 cubic units.

The volume of the large box = 384 cubic units.

Answer: All of the answers are correct.

Step-by-step explanation:

A probability distribution is the collection of probabilities which defines the likelihood of observing all the various outcomes of an experiment or event. A probability distribution has two main properties which are that:

• Each probability in the distribution consist of a value between 0 and 1.

• The sum of all probabilities in the distribution equals 1.

Also, in probability, an outcome is the possible result of an experiment and each possible outcome gotten is unique, therefore the different outcomes are mutually exclusive i.e. only one outcome can occur on each trial during the experiment.

The sum of all probabilities of possible outcomes in a probability distribution must equal 1.0, and the probability of each outcome must be between 0.0 and 1.0, inclusive.

A probability distribution is a function that assigns probabilities to all possible outcomes of an experiment. The correct statement about a probability distribution is that the sum of all probabilities of possible outcomes must equal 1.0. This is known as the axiom of probability. In addition, the probabilities of each outcome must be between 0.0 and 1.0, inclusive. This ensures that probabilities are valid and within the appropriate range. The outcomes themselves do not have to be mutually exclusive; they can overlap or have common elements.

https://brainly.com/question/32117953

#SPJ3

Answer:

x=4.4

Step-by-step explanation:

expand the brackets

10x+15

full equation now

=x-23=10x+15-2 this makes it more simpler to find like terms

+2 on both sides

=x-25=10x+15

=+25 on both sides

x=10x+40

= -x on both sides

=9x=40

40/9=x

x=4.4

Answer:

[tex]x = - 4[/tex]

Step-by-step explanation:

[tex]x - 23 = 5(2x + 3) - 2 \\ x - 23 = 10x + 15 - 2 \\ - 23 - 15 + 2 = 10x - x \\ - 36 = 9x \\ \frac{ - 36}{9} = \frac{9x}{9} \\ - 4 = x[/tex]

Answer:

I think it's 5/21.

Step-by-step explanation:

1/3=7/21

3/7=9/21

7/21+9/21=16/21

21/21-16/21=5/21

5/21 can't be reduced.

5/21+7/21+9/21=21/21 or 1

There has been a statistically significant change in the mean length of the candy bars since the computed t value, -2.913, is less than the critical t value of -2.718. Therefore, we reject the null hypothesis that the mean length has not changed.

A hypothesis test is performed to test the claim at the 0.02 level that there has been no change in the mean length of candy bars. The null hypothesis is that the mean length remains 43mm, as given. The alternate hypothesis is that the mean length has changed. A sample of twelve bars is taken and with the given data, the computed t value is -2.913.

For a two-tailed test at the 0.02 significance level and degrees of freedom (n-1) equals 11, the critical t values are -2.718 and 2.718. If the computed t value falls beyond this range, that is, below -2.718 or above 2.718, we reject the null hypothesis. In this case, -2.913 is less than -2.718

Therefore, there has been a statistically significant change in the mean length of the bars as the t value lies in the rejection region.

https://brainly.com/question/31665727

#SPJ3

The correct option is Yes, because the computed t lies in the rejection region. The t-test analysis indicates a statistically significant change in the mean length of candy bars based on the computed t-value falling in the rejection region.

Null Hypothesis (H0): The mean length of the candy bars is 43 mm.

Alternate Hypothesis (Ha): There has been a change in the mean length of the candy bars.

T-Test Analysis: The computed t-value of -2.913 falls in the rejection region, indicating statistical significance, therefore rejecting the null hypothesis. Hence, there has been a statistically significant change in the mean length of the bars.

Answer:

The center of the plot is at $36 rather than $37

Center = $ 36

Step-by-step explanation:

The description by Margot is accurate except for the following observation

From the dot plot there are 31 dots, therefore, the center should be at the median mark of the dot plot of the graph which is the 16th dot.

By looking at the dot plot it is observed that both 16th dot and the middle of the cluster are located on the $37.

That is the point where Margot make an error is defining the center as $37, where the center is observed to be $36.

Answer:

36$

Step-by-step explanation:

Just did it.

Answer:

the ticket will cost 256.28

Step-by-step explanation:

you need to multiply the cost of the ticket 149 by .72 and you get 107.28

then add 149 + 107.28 to get 256.28

Answer:

Answer is No, ITS NOT.

Refer below.

Step-by-step explanation:

There are two different cost of the same activity i.e. $10 on Saturday and Sunday and $5 on Monday through Friday, So it wouldn't be a function.

Answer: 15 = 2x + 5

Step-by-step explanation:

15 = total

x = days

2 = assignments per day / growth

5 = already done / y-intercept

Step-by-step explanation:

The population of the city of Miami = 463,300

The rate of increase in population every year = 3%

The population of the city after 7 years = ?

By formula, [tex]P_{n} = P (1 +\frac{r}{100})^{n }[/tex]

Pn is the population after 7 years

P is the current population = 463,300

r = 3 %, n = 7

[tex]P_{7} = 463300 (1 +\frac{3}{100})^{7 }[/tex]

= 463300 (1.23)

= 569859

The population of the city after 7 years = 569,859

Answer:

$575

Step-by-step explanation:

the explanation is in the picture

please like and Mark as brainliest

Answer:

25 percent

Step-by-step explanation:multiply 48 by .25 it will give you 12 which is the discount hope this helps god bless

Answer:

25%

Step-by-step explanation:

12/48=.25=25%

Answer:

The value of x is 5.

Step-by-step explanation:

We are given the following in the question:

Area of rectangle = 70 square miles

The sides of the rectangle are:

[tex]w = x, l = (2x+4)[/tex]

Area of rectangle =

[tex]A = l\times w[/tex]

Putting values, we get.

[tex]70 = (2x+4)x\\\Rightarrow 2x^2 + 4x - 70 = 0 \\\Rightarrow 2(x + 7)(x - 5) = 0\\\Rightarrow (x+7) = 0, (x-5) = 0\\\Rightarrow x = -7, x = 5[/tex]

Since, the value of x cannot be negative as it represents side of a rectangle.

Thus, the value of x is 5.

Answer: 32

Step-by-step explanation:

Use a fact family. 42 - 10 = 32.

You will get 32 as an answer.

So x = 32.

Answer:

32

Step-by-step explanation:

If x+10=42 then x=42-10 which makes x=32

Answer:

Not enough statistical evidence to prove that treatment 2 sample mean u2 is less than treatment 1 sample mean u1. So the claim may be supported.

Step-by-step explanation:

Solution:-

- The sample size of two treatments, n = 16

- The mean of sample treatment 1, u1

- The mean of sample treatment 2 , u2

- The significance level, α = .05

- State the hypothesis:

                      Null hypothesis : u2 - u1 > 0

                      Alternate hypothesis : u2 - u1 ≤ 0

- The rejection region of the T- critical for lower tailed test.

                      significance level, α = .05

                      degree of freedom v = n - 1 = 16 - 1 = 15

                      T-critical =  - 1.75

- The T-test value is compared with T-critical:

                      T-test = 1.94

                      T- critical = -1.75

                      T-test > T-critical  .. ( Null not rejected )

- Not enough statistical evidence to prove that treatment 2 sample mean u2 is less than treatment 1 sample mean u1. So the claim maybe supported.

Answer:

[tex]\frac{225}{16} cm/s[/tex]

Step-by-step explanation:

We are given that

[tex]\frac{dV}{dt}=25cm^3/s[/tex]

Side of base=4 cm

l=w=4 cm

Height,h=12 cm

We have to find the rate at which the water level rising when the water level is 4 cm.

Volume of pyramid=[tex]\frac{1}{3}lwh=\frac{1}{3}l^2h[/tex]

[tex]\frac{l}{h}=\frac{4}{12}=\frac{1}{3}[/tex]

[tex]l=\frac{1}{3}h[/tex]

Substitute the value

[tex]V=\frac{1}{27}h^3[/tex]

Differentiate w.r.t t

[tex]\frac{dV}{dt}=\frac{3}{27}h^2\frac{dh}{dt}[/tex]

Substitute the values

[tex]25=\frac{1}{9}(4^2)\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt}=\frac{25\times 9}{16}=\frac{225}{16} cm/s[/tex]

Final answer:

Using the volume of a pyramid and the concept of similar triangles, we set up a proportion to find the changing base area at a specific water level. Then, applying the product rule for differentiation, we relate the rate of volume change to the rate of height change, which allows us to solve for the water level rising rate when it is 4 cm.

Explanation:

To find the rate at which the water level is rising when the water level is 4 cm in an inverted pyramid being filled at a constant rate of 25 cubic centimeters per second, we can use the concept of similar triangles and the volume of a pyramid.

The volume V of a pyramid is given by V = (1/3)Bh, where B is the base area and h is the height. As the pyramid fills, the water forms a smaller, similar pyramid whose volume increases at a rate of 25 cm3/s.

Since the sides of the smaller pyramid are proportional to the height, we can set up a proportion using the side length s of the water level: s/4 = 4/12. Solving for s gives us s = 4 * (4/12) = 4/3 cm. The base area B of the water at this level is B = s2 = (4/3)2 cm2.

To find the rate of the rise of water dh/dt, we use the relation dV/dt = (1/3) * d(Bh)/dt. Since B is also changing with h, we have to use the product rule for differentiation: dV/dt = (1/3)(B(dh/dt) + h(dB/dt)). However, because B is a function of h2, dB/dt can be expressed as a function of dh/dt. This allows us to solve for dh/dt.

Answer:

45 hours a week

Step-by-step explanation:

Ok, so we know that he worked 675 hours in 15 weeks.

So all we need to do is divide the hours by the amount of weeks, which is 15:

675/15= 45

So he worked 45 hours a week!

Answer:

iiiiiiiiiiiiiiiiiiiiiiii believe its 8

Step-by-step explanation:

Answer:

729/64

Step-by-step explanation:

:)

Step-by-step explanation:

[tex]0.00026 = 2.6 \times {10}^{ - 4} \\ [/tex]

Reduce the equation 5x+7y-35=0 to slope-intercept form, ... Feasible region (shaded) for a LPP is shown in following figure. ... Write the normal form of the equation of the plane 2x-3y+6z+ ... 8^-3x^7y^-11/5x^-19y^17z^-14.

Hope I helped! :)