HELP ASAP I NEED ANSWER NOWW IT'S MISSING PLEASE HELP 50 POINTS

HELP ASAP I NEED ANSWER NOWW IT'S MISSING PLEASE HELP 50 POINTS

Answers

Answer 1

Answer:Let r be the number of rides and g be the number of games.

2.50g + 4.00r = 52.50

r = 2g

Step-by-step explanation:

Answer 2

Answer:

lol no

Step-by-step explanation:


Related Questions

How do I solve this problem?By using the pythagorean identities.

Answers

Given the equation:

[tex]\sin ^2x(\csc ^2x-1)[/tex]

Using the Pythagorean identities

so,

[tex]\csc ^2x-1=\cot ^2x[/tex]

so, the equation will be:

[tex]\begin{gathered} \sin ^2x\cdot\cot ^2x \\ \\ =\sin ^2x\cdot\frac{\cos ^2x}{\sin ^2x} \\ \\ =\cos ^2x \end{gathered}[/tex]

Cuanto es 1 1/4 + 1/2 + 3 1/2 =?
Ayudaaa

Answers

Answer:

es 1 1/4 + 2/4 +3 2/4 = 5 1/4

5 1/4

Can you please also give all forms of the end behavior such as ups/downs, as_,_ , and limits #25

Answers

[tex]f(x)=\frac{x}{2x+1}[/tex]

The given function is a rational function

We will find the zeros of the denominator

[tex]\begin{gathered} 2x+1=0 \\ 2x=-1 \\ x=\frac{-1}{2} \end{gathered}[/tex]

The end behavior of the function will be as follows:

[tex]\begin{gathered} x\rightarrow(-\frac{1}{2})^-;f(x)\rightarrow\infty \\ x\rightarrow(-\frac{1}{2})^+;f(x)\rightarrow-\infty \\ x\rightarrow\infty;f(x)\rightarrow\frac{1}{2} \\ x\rightarrow-\infty;f(x)\rightarrow\frac{1}{2} \end{gathered}[/tex]

The graph of the function is as follows:

Please answer correctly and tell me if its linear quadratic or exponential please.

Answers

Answer:

Exponential

Step-by-step explanation:

If the initial difference has the same value, the model will be linear.

If the value of the second difference is the same, the model will be quadratic.

If the difference has been calculated more than five times before duplicate values are discovered, the model might be exponential or involve another unique equation.

Hope this helps!

This table represents what would be an exponential graph.

When graphing these points on a coordinate plane, we will find that it forms a curvy pattern.

When a graph forms a pattern of the points to form a curve, the graph is exponential.

When a graph forms a pattern of the points in resemblance of a “U” shape, the graph is quadratic.

When a graph forms a pattern of the points in resemblance of a straight line, the graph is linear.

For an example of an exponential graph, see the picture attached.

what is the arc measure of ct in radians? what is the arc length in feet?

Answers

We will determine the arch lenght (In radians) as follows:

*First: We transform the measure of the angle from degrees to radians, that is:

[tex]\theta=80\cdot\frac{\pi}{180}\Rightarrow\theta=\frac{4\pi}{9}[/tex]

*Second: We find the arc length:

[tex]s=r\theta\Rightarrow s=(13.2)(\frac{4\pi}{9})[/tex][tex]\Rightarrow s=\frac{88}{15}\pi[/tex]

So, the arc length for CT is 88pi/15 radians.

*Third: We find its measure in feet:

[tex]s\approx18.43[/tex]

So, the arch length for CT in feet is approximately 18.43 feet.

DUE IN 40 MIN PLEASE HELP

Answers

Answer:

[tex]f(x) = $\begin{cases}3x-4 & -2\le x < 1\\x + 3 & 1 \le x \le 5\\8 & 5 \le x \le 8 \end{cases}$[/tex]

Step-by-step explanation:

The permissible values of x for a function is called the domain of the function. Permissible values mean that the function is real and defined.

The range of a function is the set of all y values for the domain

If a point on a graph is a filled circle, that point is included in the domain(x-value) and represents a ≤ or a ≥ inequality

If a point on a graph is an unfilled or hollow circle, that point is not included in the domain(x-value) and represents a < or a >inequality

Let's look at the three parts of the given piecewise graph

Piecewise part A

We see that the minimum and maximum values of x for this function are x = -2 and x = 1 respectively. The point corresponding to x= 1 is a hollow circle so it is not included in the domain whereas the point corresponding to x = -2 is included

Let's find the equation of this line:
Take 2 points on the line. We choose points (0, -4) and (1, -1)

Slope of this line is -1 -(-4)/(1-0) = (-1 + 4)/1 = 3
The y-intercept is -4

So equation of the line is y = 3x -4  for -2 ≤ x < 1

Proceeding in a similar manner we can determine the domain and function equation for the other two pieces, B and C

Piecewise part B

Domain of x : 1 ≤ x ≤5
Slope = (8-4)/(5-1) = 4/4 = 1

Equation is of the form y = 1x + b
To calculate b, plug in values of x = 1, y = 4 to get
4 = 1(1) + b

b = 3

Equation of this piecewise function is
y = x + 3    for 1 ≤ x ≤ 5

Piecewise Part C

This is a flat horizontal line at y = 8
So that is the equation of the line
The domain of this piece is 5 ≤ x ≤ 8  
So we get y = 8 for [tex]$\begin{cases}3x-4 & -2\le x < 1\\x + 3 & 1 \le x \le 5\\8 & 5 \le x \le 8 \end{cases}$[/tex]

Normally, instead of using y we use f(x)

Putting all this together we get the piecewise function defined as

[tex]f(x) = $\begin{cases}3x-4 & -2\le x < 1\\x + 3 & 1 \le x \le 5\\8 & 5 \le x \le 8 \end{cases}$[/tex]

Carlos builds a robot that moves with small wheels. each wheel has six 5 inch long metal spokes that meet in the center what is the length of the arc

Answers

Answer:

Explanation:

a)

The formula for calculating the length of an arc is expressed as

Length of arc = θ/360 x 2πr

where

θ is the angle subtended at the center of the circle.

r is the radius of the circle

From the information given,

diameter = 5(length of each metal spoke)

r =diameter/2 = 5/2 = 2.5

Recall, the total angle in the circle is 360 degrees. There are 8 partitions. Angle between consecutive spokes is

360/8 = 45. Thus,

θ = 45

Length of are between consecutive spokes = 45//360 x 2 x π x 2.5

Length of are between consecutive spokes = 5π/8

b) The formula for calculating the area of a sector is expressed as

area of a sector = θ/360 x πr^2

By substituting the values,

area of a sector = 45/360 x π x 2.5^2

Area of sector = 25π/32 square inches

the store bought a bike from the factory for 90$ and sold it to Andre for 117 what percentage was the markup?

Answers

The markup percentage was

[tex]\begin{gathered} P=\frac{117-90}{90}\cdot100 \\ P=\frac{27}{90}\cdot100 \\ P=30 \end{gathered}[/tex]

The markup percentage was 30%.

1. If DM = 35, what is the value of r?
DG=r + 3 GM=4r-28

Answers

Answer:

r=32

Step-by-step explanation:

when DM=35

then. 35=r+3

35-3=r

r=32 therefore, substitute into

second equation to solve GM

GM=4r-28

GM=128-28

GM=100

Find LM tangent angle circle

Answers

Applying the two-tangent theorem, the length of LM is: A. 18.

What is the Two-Tangent Theorem?

The two-tangent theorem states that if two tangents are drawn from a circle to meet at a point outside the circle, then the tangent segments are congruent to each other, that is they have equal lengths.

Segments LK and LM are tangent segments drawn to meet at the external point L. This means, the length of Lk and the length of LM would be equal to each other.

LK = 4x - 2

LM = 3x + 3

LK = LM

Substitute

4x - 2 = 3x + 3

Combine like terms

4x - 3x = 2 + 3

x = 5

LM = 3x + 3

Plug in the value of x

LM = 3(5) + 3

LM = 15 + 3

LM = 18

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y=-2/3x+5 and goes through (0, -2)

with steps please

Answers

The equation of the line with coordinate (0, -2) that goes through y = -²/₃x + 5 is; y = -²/₃x - 2

What is the Equation of the Line?

We know that the general formula for an equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, from the given equation of y = -²/₃x + 5, we can say that;

Slope; m = -²/₃

y-intercept = 5

Thus, equation of the new line would be;

y - (-2) = -²/₃(x - 0)

y + 2 = -²/₃x

y = -²/₃x - 2

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The mean Exam score on the SOC 15 Exam 2 is 84.28 with a standard deviation of 6.71Your friend scored an 86 on the exam. What percentage of students scored lower than your friendon the exam?

Answers

First, find the z-score of 86

[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ z=\frac{86-84.28}{6.71} \\ z=\frac{1.72}{6.71} \\ z=0.2563 \end{gathered}[/tex]

Rounding to the nearest hundredth, that is 0.26

Next, find z = 0.26 to the left of z in the z-table and we have the following

Multiply by 100%, and we have

[tex]\begin{gathered} P(z<0.26)=0.60257 \\ \\ 0.60257\cdot100\%=60.257\% \end{gathered}[/tex]

Therefore, the percentage of students who scored lower than 86 is 60.257%.

6.25 ft7.25 cm11 cm8.921.6 m

Answers

The area of the shaded region can determined by substracting the area of rectangle from the area of triangle,

[tex]\begin{gathered} A=A_r-A_t \\ =14\operatorname{cm}\times25\operatorname{cm}-(\frac{1}{2}\times11\operatorname{cm}\times25) \\ =212.5cm^2 \end{gathered}[/tex]

Thus, the area of the shaded region is 212.5 square centimeters.

Hi, can you help me answer this question please, thank you!

Answers

Given that

[tex]\begin{gathered} \mu_d=\mu_2-\mu_1=21.1 \\ s_d=14.9 \\ n=8 \end{gathered}[/tex]

a) The formula for the test statistics for this sample is,

[tex]t=\frac{\mu_d}{s_d\sqrt[]{n}}[/tex]

Therefore,

[tex]\begin{gathered} t=\frac{21.1}{14.9\times\sqrt[]{8}}=0.50067 \\ t=0.50067\approx0.501(3\text{ decimal places)} \\ \therefore t=0.501 \end{gathered}[/tex]

Hence, the test statistic for this sample is

[tex]t=0.501[/tex]

b)

Write three sentences that compare the values 12 and 3 in different ways

Answers

Given data:

The numbers given are 12 and 3.

The 12 and 3 are both positive integers in which 12 is greater than 3.

The 12 and 3 both lie on the right side of the number line in which 12 comes after 3, so 12 is bigger number than 3.

The 12 and 3 are both natural as well as rational number, 12 is nine more than 3.

A recipe that makes 10 pancakes calls for 13/4 cups of milk. If you want to scale down the recipe so that it makes only 2 pancakes, about how much milk should you use? A. 3/4 cup B. 1/2 cupC. 7/20 cup D. 3/10 cup E. 7/12 cup

Answers

Answer:

13/20 cups

Explanations:

The recipe makes 10 Pancakes with 13/4 cups of milk

The recipe will make 1 pancake with x cups of milk

[tex]\begin{gathered} x\text{ = }\frac{13}{4}\div10 \\ x\text{ = }\frac{13}{4}\times\frac{1}{10} \\ x\text{ = }\frac{13}{40} \\ \end{gathered}[/tex]

The recipe will make 1 pancake with 13/40 cups of milk

The recipe will make 2 pancakes with (2 x 13/40) cups of milk

= 26 / 40

= 13 / 20

The recipe will make 2 pancakes with 13/20 cups of milk

help me on my hw! I don't understand (answers are already there but mine doesn't match any)

Answers

The answer is d. 82.1

Explanation:

Tan 75 = x/22

Tom invested $2500 a year in a mutual fund for 15 years. If the market value of the fund increases 5% per year, what will be the value of the fund after 15 deposits?

Answers

The value of the mutual fund of Tom after 15 deposits will be $5197.320   .

In the question ,

it is given that , Tom invested $2500 in mutual fund for 15 years ,

So,

the investment amount(P) = $2500 .

time for investment(x) = 15 years

rate of increase(r) = 5% = 0.05

The amount of fund  after 15 deposits can be calculated using the formula

amount = P*(1+r)ˣ

Substituting the values of  P, x and r , we get

amount = 2500*(1 + 0.05)¹⁵

= 2500*(1.05)¹⁵

= 5197.320

Therefore , The value of the mutual fund of Tom after 15 deposits will be $5197.320   .

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Find the opposite of –15.

Answers

Answer:15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

If there is a negative sign just add a positive sign or remove the sign. And if it's a positive number add a negative sign.

Easy There we go!

A line contains points F, G, H, I, J. The space between F G is 2. The space between H and I is 1. The space between F and I is 7.
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH?

3 units
4 units
5 units
6 units

Answers

The measure of GH is 4 units.

The correct option is (B)

What is equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

Given:

FG = 2 units, FI = 7 units, and HI = 1 unit

Now,

FI = FG+ GH +HI

7= 2 + GH + 1

7= 3 + GH

GH = 7-3

GH = 4 units

Hence, the measure of GH is 4 units.

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A price-taking firm makes air conditioners. The market price of one of its new air conditioners is $125. The firms total cost information is given in the table below

Answers

1. Calculating the marginal cost per day yields the following results:

Air conditioners  Total cost    Marginal cost

    per day          ($ per day)      ($ per day)

      1                          100                  100

      2                         150                   50

      3                        220                   70

      4                         310                   90

      5                        405                   95

      6                         510                  105

      7                        650                  140

      8                       800                   150

2. To maximize profits, the price-taking firm should produce 6 air conditioners per day.

What is the profit-maximizing point?

The profit-maximizing point or units is the output and price interaction that ensures that the marginal revenue equals the marginal cost.

The marginal revenue (MR) is the revenue earned from an additional unit. The marginal cost (MC) is the production cost per additional unit.

For price-taking firms, the maximum profit is achieved at the level of output where MC equals MR.

Market Price for one unit = $125

Air conditioners  Total cost    Marginal cost

    per day          ($ per day)      ($ per day)

      1                          100              100 (100 - 0)

      2                         150               50 (150 - 100)

      3                        220               70 (220 - 150)

      4                         310              90 (310 - 220)

      5                        405              95 (405 - 310)

      6                         510            105 (510 - 405)

      7                        650             140 (650 - 510)

      8                       800              150 (800 - 650)

Thus, profit is not maximized where the MC exceeds the MR. Instead producing at that unit reduces profit.

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Question Completion:

Total Cost Information

Air conditioners  Total cost

    per day          ($ per day)

      1                          100

      2                         150

      3                        220

      4                         310

      5                        405

      6                         510

      7                        650

      8                       800

1. Calculate marginal cost per day, and enter your responses as whole numbers.

2. How many air conditioners should the firm produce per day if its goal is to maximize its profit? air conditioners per day.

Write the domain and range of g as intervals or unions of intervals

Answers

It's important to know that empty circles refer to open intervals or parenthesis.

In this case, we observe that the first interval of the domain is (-1, 1) and the second interval of the domain is (2, 5), so the whole domain would be the union of these two intervals.

[tex]\text{Domain}=(-1,1)\cup(2,5)[/tex]

To obtain the range, let's observe the y-values. The function goes from y = -5 to y = 3, so the range would be

[tex]Range=(-5,3)[/tex]

A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $369 on equipment and 55% of the total budget on props. What was the total budget for their student film

Answers

Answer: t = 820

Step-by-step explanation:

1) Set up the equation

369 + 55%t = t

2) Simplify the percentage

369+ 0.55t = t

3) Minus 0.55 t on both sides

369 = 0.45t

4) Set t by itself.

t = 820

4. Find and interpret theaverage rate of change forthe interval. Show your work.1

Answers

Answer:

Average rate of change = -2 celcius / hour

Interpretation: For every unit change in the time (x), there is a change of -2 celcius in the temperature

Explanations:

The average rate of change is to be found for the interval:

[tex]1\text{ }\leq x\leq3[/tex]

From the interval, we can deduce that:

[tex]x_1=1,x_2=3[/tex]

Know the corresponding value of y for each value of x shown above:

[tex]\begin{gathered} \text{When x}_1=1,y_1=\text{ 6} \\ \text{When x}_2=3,y_2=\text{ 0} \end{gathered}[/tex]

The average rate of cgange is given by the formula:

[tex]\begin{gathered} \frac{\delta y}{\delta x}=\text{ }\frac{y_2-y_1}{x_2-x_1} \\ \frac{\delta y}{\delta x}=\text{ }\frac{0-6}{3-1} \\ \frac{\delta y}{\delta x}=\frac{-6}{3} \\ \frac{\delta y}{\delta x}=-2 \end{gathered}[/tex]

The rate of change for the interval is -2 celcius/hour

This can be interpreted as for every unit change in the time (x), there is a change of -2 celcius in the temperature

A golf lesson lasts from 10:00 a.m. – 11:15 a.m. and includes a 15-minute break with equal lengths of time before and after the break. At what time should the break start?

Answers

A golf lesson lasts from 10:00 am - 11:15 am and includes a 15 minutes break with equal lengths of time before and after the break is at 10:30 am.

Total lesson time is 1 hour and 15 minutes (10:00 - 11:15)

There is 15 minutes break with equal lengths of time before and after break.

The lesson before the break is from 10 - 10:30

Therefore , break is at 10:30 am

Lesson resumes at 10:45 when break is over then lesson runs another 30 minutes until 11:15 am (10:45 - 11:15).

Therefore, the break is at 10:30 am in mid of 10:00 am - 11:15 am.

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find the measure of Angel A? (Round your answer to the nearest whole number)

Answers

Answer:

Concept:

To figure out the measure of angle A, we will use the sine rule below

[tex]\begin{gathered} \frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC} \\ where, \\ a=37cm \\ c=29cm \\ C=50^0 \end{gathered}[/tex]

By substituting the values, we will have

[tex]\begin{gathered} \frac{a}{sinA}=\frac{c}{sinC} \\ \frac{37}{sinA}=\frac{29}{sin50^0} \\ \end{gathered}[/tex]

Cross multiply, we will have

[tex]\begin{gathered} \frac{37}{s\imaginaryI nA}=\frac{29}{s\imaginaryI n50^0} \\ 29\sin A=37\times sin50^0 \\ sinA=\frac{37sin50^0}{29} \\ sinA=0.9774 \\ find\text{ the arcsin} \\ A=\sin^{-1}0.9774 \\ A=77.79^0 \\ A\approx78^0(nearest\text{ whole number\rparen} \end{gathered}[/tex]

Hence,

The measure of angle A to the nearest whole number is

[tex]\Rightarrow78^0[/tex]

10^-6/10^-2 this is my question

Answers

Answer:

[tex] \frac{1}{10000} [/tex]

or Decimal

[tex]0.0001[/tex]

Step-by-step explanation:

Greetings !

look at the figure i have attached above

Hope it helps !!

Paving stones: 174 paving stones were examined for cracks, and 16 were found to be cracked. The same 174 stones were examined for discoloration, and 21were found to be discolored. A total of 3 stones were both cracked and discolored. One of the 174 stones is selected at random. Round all answers to fourdecimal places.Part 1 of 4(a) Find the probability that it is cracked.The probability that it is cracked is 0.0919SPart 2 of 4(b) Find the probability that it is discolored.The probability that it is discolored is 0.1207Part: 2/4Part 3 of 4(c) Find the probability that it is not cracked.The probability that it is not cracked is

Answers

Define Given

We are given the following information:

• 174 paving stones total (examined)

,

• 16, paving stones ,cracked

,

• 21, paving stones ,discolored

,

• 3, paving stones ,both cracked and discolored

We are trying to find the probability of paving stones that are not cracked.

Solving

Since we know from our given that 16 paving stones were cracked plus an additional 3 paving stones were both cracked and discolored, the total amount of cracked stones out of the 174 paving stones is equal to 19.

Therefore, we know that there will be 155 paving stones that aren't cracked. In order to find the probability, we will need to divide this number over the total amount of stones present:

[tex]\text{Probability of not cracked paving stones}=\frac{155}{174}[/tex]

If we evaluate this fraction, we should obtain our answer.

Answer

The probability that a paving stone isn't cracked is equal to 0.890805.

You have a tree in your yard that is 60 inches around. What is the diameter of the tree?

Answers

Given : a tree in your yard that is 60 inches around

60 inches represents the circumference of the tree

The circumference =

[tex]\pi\cdot d[/tex]

Where d is the diameter of the tree

so,

[tex]\begin{gathered} \pi\cdot d=60 \\ \\ d=\frac{60}{\pi}\approx19.1 \end{gathered}[/tex]

So, the answer is : the diameter of the tree is a bout 19.1 inches

If n = 100 and p= 1/5, what is the mean and standard deviation of this binomial distribution?

Answers

The most appropriate choice for binomial distribution will be given by-

Mean of binomial distribution= 20

Standard deviation of binomial distribution = 16

What is binomial distribution?

Let there are n number of success or failure experiment called Bernouli trial and let p be the probability of success. Binomial distribution with parameters n and p is the probability distribution of p successes in n number of Bernouli trials.

Probability mass function of Binomial distribution

P(x = k) = [tex]n \choose k[/tex][tex]p^k(1-p)^k[/tex]

Here,

n = 100,

p = [tex]\frac{1}{5}\\[/tex]

1 - p = [tex]1 - \frac{1}{5}[/tex]

       = [tex]\frac{5-1}{5}[/tex]

       = [tex]\frac{4}{5}[/tex]

Mean of binomial distribution = np

                                                 = [tex]100 \times \frac{1}{5}\\[/tex]

                                                 =20

Standard deviation of binomial distribution  =

                                                                          [tex]100 \times \frac{1}{5}(1- \frac{1}{5})\\100 \times \frac{1}{5} \times \frac{4}{5}\\16[/tex]

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Aaron Copland was an American composer known for helping forming a distinct American style.TrueFalse How would this model be like after being separated chemically? Please help!!! The largest angle of a triangle measures 9degrees less than 5 times the measure of the smallest angle. The middle angle measures three times that of the smallest angle. Find the measures of the three angles. Two words three words dicipher john wants to produce a message digest of a 2,048-byte message he plans to send to mary. if he uses the sha-2 hashing algorithm, what is a possible size for the message digest generated? Kurt bought a vacant lot in a development that was 85% completed. When he startedworking with the builder to lay out where the house and driveway would lie, it wasdetermined that he would need an easement because his driveway would spill over ontothe adjacent lot by a few feet. What type of easement is this?Easement appurtenantEasement by necessityEasement by prescriptionEasement in gross Need to find the mean, median, mode, and midrange. 1. A man pulls a crate with a rope. The crate slides along the floor in the horizontal direction (x direction). The man exerts a force of 50 N on the rope, and the rope is at an angle . Describe how the force components change as the angle increases from 0 to 90 and use your graph to explain your answer. Give a detailed explanation of the forces at . Show a sample calculation at one angle for both components. Which statements are true for the functions g(x) = x2 and h(x) = x2 ? Check all that apply.For any value of x, g(x) will always be greater than h(x).For any value of x, h(x) will always be greater than g(x).g(x) > h(x) for x = -1. g(x) < h(x) for x = 3. For positive values of x, g(x) > h(x). For negative values of x, g(x) > h(x). Which of the following is an essential characteristic of a civilization?A. Most people speak the same languageB.women and men are treated Equally C.most people are engaged in hunting and gathering D.some people are able to read and write Consider two pieces of the same metal at the same temperature, but one piece is a higher mass than the other. Which piece of metal has more thermal energy?. Based on the density graph below, what is the probability of a value in thesample space being anywhere from 15 to 20? during the execution phase of the skit project, one of the activities on the critical path is delayed by one day. is this serious? a company is considering producing an item that can be sold for $37.50 per unit. if the fixed costs for setting up production are $225,000 and the variable cost per unit for the item is $35.00 then the break-even volume for this item is: group of answer choices 6,000 units 6,429 units 72,500 units 90,000 units what are three consecutive integers that add to 40 the mongols were unified under their talented general, . the empire began on the steppes of . mongol warriors were noted for their courage and for their with their enemies. on their many military campaigns, the mongol armies were known for being . Liz bought seven liters of orange juice for a party. About how many quarts of juice did she buy? Josh wants to make the lamp purple.He will use dye to make the plastic purple.Josh will mix red dye with green dye and blue dye in the ratio 9:3:15 to makepurple dye.Josh uses 30 litres of green dye.(b) How many litres of purple dye will Josh make with the 30 litres of green dye?Show a check of your working.(5) which of the following are point-slope equations of the line going through (-2,-2) and (2,1) check all that apply (20pts, 5pts each) The median of AMND from vertex N of theisosceles trapezoid MNFD is 5cm. The diagonal ND isperpendicular to the leg MN. The shorter base NF = 6cm and the32cm.AMNFD=Find: MD, the altitude of the trapezoid h, the length of thelegs of the trapezoid and the ratio between the areas of AMND andANFD.