25. A graph is shown.
Height Off Ground
Time
Which scenario could be modeled by the graph?
A. A ball is dropped and bounces on the ground before stopping.
B. A ball is thrown upward, comes back down, and bounces on the ground
before stopping.
C. Four balls are dropped on the ground.
D. Four balls are thrown upward and come back down.

To factor the polynomial x^2-4x-12 using the method of factoring by grouping, we can first find two numbers whose product is -12 and whose sum is -4. These numbers are -6 and 2, because (-6) * (2) = -12 and (-6) + (2) = -4.

Using this information, we can rewrite the polynomial as:

x^2 - 6x + 2x - 12

Next, we can group the first two terms and the last two terms and factor out the common factors:

x(x - 6) + 2(x - 6)

Notice that both terms have a common factor of (x - 6), so we can factor it out:

(x - 6)(x + 2)

Therefore, the factored form of the polynomial x^2-4x-12 is (x-6)(x+2).

So, Simon should write the value -2 on the line.

Answer:

The shoes are on sale for $28.79

Step-by-step explanation:

First, you find the 20% of 35.99 which is 7.198.

Then, i rounded that number to 7.20.

Then do $35.99 - 7.20.

Your final answer is $28.79!

Hope this helps and good luck!

Answer:

This is the answer I got to this problem.

-6.511

If the utilization of an M/M/1 model is 0.6, the c of time there is at least one person in the system is 100%.

In an M/M/1 model, the utilization represents the ratio of the arrival rate (λ) to the service rate (μ). If the utilization is less than 1, it means that the arrival rate is lower than the service rate, and the system is not fully utilized. However, even with a utilization of 0.6, there will still be instances where there is at least one person in the system. This is because the arrival rate is not zero, indicating that customers are still arriving, albeit at a lower rate compared to the service rate. Therefore, the percentage of time with at least one person in the system would be 100%. If you are told that the utilization rate for an M/M/1 model is 0.8 and the average number of people in the system is 4, it is impossible to determine the average number of people in the queue without further information. The average number of people in the queue depends on factors such as the arrival rate and service rate, which are not provided in this scenario. The utilization rate alone and the average number of people in the system do not provide sufficient information to calculate the average number of people in the queue accurately. Therefore, it is impossible to determine the average number of people in the queue based solely on the given information.

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There are 3 pies: blueberry, apple, and cherry

4 people are to share the pies

To get the amount each person will get, we can represent one person share with y

To obtain y, we will have to cross multiply

so that 4 x y = 3 x 1

4y = 3

Divide both sides by 4

y = 3/4

Answer = 3/4 of a pie

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

Step-by-step explanation:

Let's calculate the volume of the tank per each meter in height.

The volume of a cylinder is πr²h, where h is the height.  

A height of 1 meter in a tank with a radius of 5 meters would hold a volume of:

Vol = (3.14)*(5 meters)^2 *(1 meter)

Vol (m^3) = 78.54 m^3 per 1 meter height.

If the tank were filled at a rate of 3 m^3/min, it would rise at at a rate of:

(78.54 m^3/meter)/(3 m^3/min) = 0.0382 meters/minute [38.2 cm/min

Answer:

The radius would be 11ft.

Step-by-step explanation:

So what we need to do is, 69.08 divided by π (3.14) which equals to 22. 22ft is the diameter but we are looking for the radius, so we need to divide that by 2 which is 11ft.

Hope that helps. x ps. Love the fact the picture is upside down :)

Leo is approximately 13.928 km away from the starting point.

Given that Leo walked 7 km south and then 12 km east, we need to determine the distance from the starting point,

To determine the distance from the starting point, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the distance Leo walked south forms one side of a right triangle, and the distance he walked east forms the other side. The distance from the starting point will be the length of the hypotenuse.

Using the Pythagorean theorem, we can calculate the distance from the starting point as follows:

Distance² = (7 km)² + (12 km)²

Distance² = 49 km² + 144 km²

Distance² = 193 km²

Taking the square root of both sides gives us:

Distance = √(193)

Distance ≈ 13.928 km

Therefore, Leo is approximately 13.928 km away from the starting point.

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Complete question =

Leo walk 7km south then 12km east. How far is he from the starting point?

Answer:

the answer is  D

Step-by-step explanation:

To find an equation of the curve that satisfies the given condition and whose y-intercept is 6, we can integrate the derivative of y(x) with respect to x.

The derivative of y(x) with respect to x is given as dy/dx = 150yx^4.

Integrating both sides with respect to x, we have:

∫dy/dx dx = ∫150yx^4 dx.

Integrating the left side gives us y(x) + C, where C is the constant of integration. On the right side, we can integrate the expression 150yx^4 dx.

∫150yx^4 dx = 150∫x^4 dy.

Evaluating the integral, we have:

150∫x^4 dx = 150 * (x^5/5) + D,

where D is another constant of integration.

Combining the terms, we get:

y(x) + C = 30x^5 + D.

Since the y-intercept is given as 6, we substitute x = 0 and y = 6 into the equation:

6 + C = 0 + D,

C = D - 6.

Therefore, the equation of the curve that satisfies the given condition and has a y-intercept of 6 is:

y(x) = 30x^5 + (D - 6).

The constant D can be determined by additional information or constraints not provided in the question.

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Answer:

C

Step-by-step explanation:

After 2 hours, the bacteria count will be 12.

Answer:

X-14 / 2 = 24

Step-by-step explanation:

X-14 / 2 = 24

X-14 / 2 = 24

To prove that, suppose that K is either not unrestricted or not bounded. We'll show that in either case, there exists a sequence in K that has no subsequence fomat to a point of K.  

Still,  also there exists a point p in the  check of K that isn't in K, If K isn't closed. Let( xn) be a sequence in K  similar that xn approaches p. Since p isn't in K, no subsequence of( xn) can  meet to a point in K.   still,  also for each positive integer n, there exists a point xn in K  similar that| xn|> n, If K isn't bounded. Consider the sequence( xn).

This sequence isn't bounded, so by the Bolzano- Weierstrass Theorem, it has no coincident subsequence. thus, there exists a sequence in K that has no subsequence clustering to a point of K.  

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The points D(3,-5), E(3, 4), and F(-4, 3) form a triangle. Then 26.701 unit is the perimeter of the triangle.

The length of a two-dimensional shape's perimeter is referred to as its perimeter. The total length of all the sides of the thing is also a definition for it. The perimeter of the form is equal to the algebraic sum of each side's length. For the various geometric forms, there are formulae accessible. The radius of a shape's edge is known as the perimeter. The length of the shape's edge is measured by its perimeter. All of the shape's sides added together provide it. It just has one dimension and uses linear units to represent itself. In contrast, area quantifies how much space a form takes up.

The points D(3,-5), E(3, 4), and F(-4, 3) form a triangle.

DE = \(\sqrt{(3-3)^2+ (4 +5)^2}\)

DE = 9 units

EF = \(\sqrt{(-4-3)^2+ (3-4)^2}\)

EF = √50 units

DF = \(\sqrt{(-4-3)^2 + (3+5)^2}\)

DF = √113 units

So, the perimeter of the triangle DEF = sum of all three sides

= 9 units +  √50 units + √113 units

= 26.701 unit

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Answer: f(2)=-10     f(-3)=15

Step-by-step explanation:

Let the number conceived be x.

Hence,

f(x)=(x+5)(-3)-2x+15

f(x)=-3x-15-2x+15

f(x)=-5x

Thus,

f(2)=(-5)(2)

f(2)=-10

f(-3)=(-5)*(-3)

f(-3)=15

Answer:

6 hours

Step-by-step explanation:

40 + 45 = 85

510/85 = 6

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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Descriptive statistics is a branch of statistics that deals with the collection, analysis, interpretation, and presentation of data. It focuses on summarizing and describing the characteristics of a sample or population. The purpose of descriptive statistics is to provide a clear and concise summary of the data, including measures of central tendency, variability, and distribution.

True,This information can be used to make inferences about the population as a whole. Therefore, descriptive statistics helps statisticians to better understand and interpret the population data.

False, Descriptive statistics is a branch of statistics that focuses on summarizing and organizing data from a sample or population. It provides insights into the basic features of the data, such as the mean, median, and standard deviation, but does not make inferences about the population.

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Answer:

it has a frequency of 5

Step-by-step explanation:

To find the height of the bird feeder, we can use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height of the cylinder. In this case, the volume is given as 100 cubic inches, and the radius is 2 inches.

Substituting the known values into the formula, we have:

100 = 3.14 × 2^2 × h

Simplifying the equation:

100 = 3.14 × 4 × h

100 = 12.56h

To solve for h, we divide both sides of the equation by 12.56:

h = 100 / 12.56

h ≈ 7.97

Therefore, the approximate height of the bird feeder is approximately 7.97 inches.

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Answer:

16 = n/12

Step-by-step explanation:

16 = n/12

If the triangle is equiangular, then the triangle is an equilateral triangle.

What is equiangular triangle?

A triangle with three equal interior angles is called an equiangular triangle. In an equiangular triangle, the measure of each of its interior angles is 60

What is equilateral triangle?

an equilateral triangle is a triangle that has all its sides equal in length. Also, the three angles of the equilateral triangle are congruent and equal to 60 degrees. The sum of all three angles of an equilateral triangle is equal to 180 degrees.  60° + 60° + 60° = 180°.

As we can see, that in equilateral triangle, all the angles are of 60, as same as of equiangular triangle.

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The integral, ∫ [ (9ˣ - eˣ )/3ˣ ] dx evaluate value is 3ˣ/ ln(3) - eˣ/3ˣ(1 - ln 3). So, the correct answer is option (c).

Integration is defined as the process of finding the area of the region under the curve. This is done by drawing as many small rectangles covering up the area and summing up all their areas. If d/dx(F(x) = f(x), then ∫ f(x) dx = F(x) + C, where C is integration constant and indefinite integrals. We have an integral, say , I = ∫ [ (9ˣ - eˣ )/3ˣ ] dx

and we have to determine its value.

I = ∫ [ (9ˣ - eˣ )/3ˣ ] dx

=> I = ∫ [ (9ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3²ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3²ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3ˣ - eˣ/3ˣ ] dx

=> I = ∫ 3ˣ dx - ∫ eˣ3⁻ˣ dx

=> I = 3ˣ/ ln(3) - eˣ/3ˣ(1 - ln 3) + C

( since, ∫aˣ dx = aˣ/ln a)

where C --> integration constant

So, the required value is 3ˣ/ln(3)-eˣ/3ˣ(1 - ln 3).

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Complete question:

Find integral ∫ [ (9ˣ - eˣ )/3ˣ ] dx .

a) 3ˣ - eˣ/(1 - ln 3) + C

b) 9ˣ/2ln3 - eˣ/(3ˣ ln 3) + C

c) 3ˣ/ln3 - eˣ/3ˣ(1 - ln 3) + C

d) 3ˣ/ln3 - eˣ/3ˣ + C

Answer:

the answer to the question is -75

Answer:

-75

Step-by-step explanation:

-55+(-10)-10

-55-20

-75

Answer:

D (-15,-25)

Step-by-step explanation:

When u plot the two formulas on a graph, they will both intersect on the (-15,-25) line. HUGE TIP: USE DESMOS CALCULATOR IT WILL GIVE U THIS ANSWER! Just plug in the formula on the top left and it will graph it for you and show where it intersects ( along with lots of other math features!)

Answer:

(-15, -25)

Step-by-step explanation:

There are 2 tablespoons in 1 fluid ounce. This conversion is often used in cooking and baking recipes, where ingredients are measured in ounces or tablespoons.

Fluid ounces and tablespoons are both units of volume used to measure liquids in cooking and baking recipes. One fluid ounce is equal to 29.5735 milliliters or approximately 2 tablespoons, which is equivalent to 6 teaspoons. Therefore, there are 2 tablespoons in 1 fluid ounce.

This conversion is important to know when following recipes that call for ingredients in fluid ounces or tablespoons. It allows for accurate measurement of ingredients, which is crucial for successful cooking and baking. Other common units of volume used in the kitchen include teaspoons, cups, and quarts, among others.

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Answer:

5/8 is smaller.

Step-by-step explanation:

A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777

Then to compare them you see which is smaller or bigger.

0.77777  is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.

Steps:-

\(\\ \rm\rightarrowtail 5:8::7;9\)

\(\\ \rm\rightarrowtail 5/8:7/9\)

\(\\ \rm\rightarrowtail \dfrac{5(9)}{8(9)}:\dfrac{7(8)}{9(8)}\)

\(\\ \rm\rightarrowtail \dfrac{45}{72}:\dfrac{56}{72}\)

\(\\ \rm\rightarrowtail \dfrac{45}{56}\)