Find the range of the function y = - x2 -3x when the domain is -5,0,2

Answer:

C 33.52 cm³

Step-by-step explanation:

Here, we have Radius(r)=2(Given)

Volume = 4/3 πr³

= 4/3 · 22/7 · 2³

= 33.5238

Round to the nearest tenth:
C 33.52 cm³

Answer:

192.5 kg

Step-by-step explanation:

220-12.5%=220*(100-12.5)/100=220*0.875= 192.5 kg

The solutions to the equations are;

(-3, 8) and (34/10, 156/16)

1) We can see that;

2x+y=2  ---- (1)

5x+3y =  9 ----- (2)

Multiply (1) by 5 and (2) by (2)

10x + 5y = 10 --- (3)

10x + 6y = 18 ----- (4)

Subtract 3 from 4

y = 8

Now substitute y =8 in (1)

2x + 8 = 2

x = 2 - 8/2

x = -3

Solution is; (-3, 8)

For question 2;

5x - 2y = -2 ---- (1)

3x + 4y =  30 ---- (2)

Multiply 1 by 3 and 2 by 5

15x - 6y = -6 ---- (3)

15x + 20y = 150 ----- (4)

Subtract (3) from (4)

16y = 156

y = 156/16

5x - 2(156/16) = -2

5x - 156/8 = -2

5x = -2 + 156/8

x = 34/10

Solution; (34/10, 156/16)

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Answer:

mean= 12

median= 10

mode= 10

Step-by-step explanation:

mean: add up all values, then divide by how many values you have(84/7=12)

median: when sorted, value in middle(See pic)

mode: value that appears most

The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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The ramp will rise 18 inches from the ground at its highest end.

To determine the height of the ramp at its highest end, we can use trigonometry and the given angle of elevation.

In a right triangle formed by the ramp, the ground, and the height of the ramp, the angle of elevation (30 degrees) is the angle between the ground and the hypotenuse (the ramp itself). The height of the ramp is the opposite side, and the length of the ramp is the hypotenuse.

Using the trigonometric function sine (sin), we can set up the equation:

sin(30 degrees) = opposite/hypotenuse

sin(30 degrees) = height/36 inches

Since the sine of 30 degrees is 0.5:

0.5 = height/36 inches

To solve for the height, we can multiply both sides of the equation by 36:

0.5 x 36 inches = height

18 inches = height

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The percentage of value-added time in a trip to the emergency room is 15.83%.

Given the following data:

Time taken by triage nurse before assessment = 14 minutes

Average time taken for assessment by triage nurse = 5 minutes

Time taken before examination room = 79 minutes

Time taken in the examination room for vitals and notes by nurse = 11 minutes

Time taken before the doctor sees the patient = 22 minutes

Average time taken by the doctor for treatment = 17 minutes

Time taken for the nurse to come to discuss post-treatment instructions = 6 minutes

Time taken to review the instructions with the patient = 4 minutes

Let us first calculate the total time taken,

Total Time = Time before examination room + time in examination room + time after treatment + time taken by the triage nurse

Total Time = 79 + 11 + 22 + 17 + 6 + 4

                  = 139 minutes

Now, let us calculate the total time spent on assessment and treatment.

This will include the time taken by the triage nurse and the doctor.

Total Time Spent on Assessment and Treatment = Time taken by triage nurse + time taken by the doctor

Total Time Spent on Assessment and Treatment = 5 + 17

                                                                                  = 22 minutes

Now, we can calculate the percentage of value-added time as follows,

Percentage of Value-Added Time = Total Time Spent on Assessment and Treatment / Total Time * 100

Percentage of Value-Added Time = 22 / 139 * 100

Percentage of Value-Added Time = 15.83%

Therefore, the percentage of value-added time in a trip to the emergency room is 15.83%.

Rounding off this value to 2 decimal places, we get the final answer as 15.83%.

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There should be 27 cameras.

The amount of space filled by a flat (2-D) surface or an object's form is known as its area. Draw a square on a sheet of paper with a pencil. A 2-D figure, that is. The term "Area" refers to the area that a form occupies on paper. Now picture that your square is composed of smaller unit squares.

It is 150 feet by 70 feet.

The size of the store will be 150 x 70  feet, or 10,500 square feet. The security cameras now each have 400 square feet.

The area of the shop / each camera's area will determine how many cameras are needed, which is 10500/400.

which is 27

27 cameras are therefore required.

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Answer:

You're right, it is 359!

Let's break down the problem.

The equation is...

21 - 359 / 26 = 13

Therefore,

The missing number, n, is 359.

Answer:  8

Step-by-step explanation:

5-1

3 out of 4 = 1/4

The motorist reportedly traveled 280 kilometers, although the bicycle only covered 21 km, according to the stated statement.

Distance is an object's overall mobility in a directionless fashion. Regardless of the starting or terminating point, distance can be defined as the amount of space an item has covered.

We'll name the driver's journey's distance "x" for simplicity.

We can write x/21 = 40/3 based on the ratio.

We can cross-multiply in order to find x:

3x = 21 * 40

3x = 840

x = 280

In light of the cyclist's 21 km of trip, the motorist has really traveled 280 km.

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The motorist traveled 280 km.

Distance refers to the physical length or space between two points or objects. It is an important concept in mathematics, physics, and everyday life. Distance can be measured in various units such as meters, feet, kilometers, miles, or light-years, depending on the context and scale of the measurement.

In physics, distance is often used to describe the separation between two objects or particles. The distance between two objects can affect the strength of gravitational or electromagnetic forces between them. Distance is also an important concept in special relativity, where it is affected by the relative motion of observers and the distortion of spacetime.

If the ratio of the distance the motorist traveled to the distance the cyclist traveled is 40:3, then we can set up the proportion:

distance of motorist / distance of cyclist = 40/3

Let's substitute the distance of the cyclist as 21 km:

distance of motorist / 21 km = 40/3

To solve for the distance of the motorist, we can cross-multiply:

distance of motorist = (40/3) x 21 km

distance of motorist = 280 km

Therefore, the motorist traveled 280 km.

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Answer:

The hiking club's member count increased by 48%.

Step-by-step explanation:

We are given two data values: 25 members and 37 members. We need to determine how many members the club gained first. We can set up an equation where we solve for an unknown, or x, in this case.

\(25 + x = 37\\\\x = 12\)

The club increased by 12 members, so now we can divide this value by the initial amount of members and multiply the decimal we receive by 100 to express it in percentage form.

\(\frac{12}{25} =0.48\\\\0.48 \times 100 = 48\%\)

Therefore, the club's member count increased by 48%.

Answer:

25+12=37

There would be 48%.

The number of communication channels, 10 channels would five people require.

To find number of communication channels, we use;

On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.

Number of potential communication channels = n x (n-1)/2

Given n = 5;

→ x = 5*(5 - 1)/2

     = 5*2

     = 10

The number of communication channels, 10 channels would five people require.

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Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

The answer is B. $15,100. The total capital investment in the defender, using the outsider viewpoint is $15,100.What is the outsider viewpoint?

The outsider viewpoint is how much it would cost someone from outside your company to purchase an asset. In this scenario, the outsider viewpoint will be used to determine the capital investment in the defender.

Here's how to go about it: The firm's current automobile (defender) can be sold on the open market for $10,000. Thus, the cost basis of the defender was $12,000 - $10,000 = $2,000 more than the current open market price.

This value ($2,000) is the unamortized value of the defender. To make the defender comparable in continued service to the challenger, your firm would need to make some repairs at an estimated cost of $1,500.

Therefore, the total capital investment in the defender, using the outsider viewpoint, is $10,000 (open market price) + $2,000 (unamortized value) + $1,500 (repair cost) = $15,100. The answer is B. $15,100.What is the unamortized value of the defender?

The unamortized value of the defender is $2,000.The cost basis of the defender was $12,000, and it can be sold on the open market for $10,000.

As a result, the unamortized value is $12,000 - $10,000 = $2,000. The answer is B. $2,000.

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An association between the two variables can be implied if the relative frequencies vary across the columns.

In a two-way table, the relative frequencies represent the proportion of observations within each cell relative to the total number of observations in that column. If the relative frequencies differ significantly across the columns, it suggests that there is an association between the two variables being examined. This indicates that the distribution of one variable is not independent of the other variable, and there may be a relationship or dependence between them. It is important to analyze the patterns in the data, perform additional statistical tests, and consider other factors to confirm the presence and strength of the association.

An association between the two variables can be implied if the relative frequencies vary across the columns.

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Answer:

answer for this solution is 2,3,4.

Answer:

5+4x=21

Step-by-step explanation:

Let's say the "number" is x.

"more than" indicates addition, and "times" indicates multiplication.

5+4x=21

Answer:

4x + 8x = 180

12x = 180

divide by 12 on both sides:

X = 15

4 x 15 = 60 degrees

8 x 15 = 120 degrees

Answer:

Hello! answer: x = 15

Step-by-step explanation:

Since this is a supplementary angle it will equal a total of 180 15 × 4 = 60 15 × 8 = 120 you add these up and... 60 + 120 = 180 therefore x = 15 and

4x = 60 and 8x = 120 HOPE THAT HELPS!

After finding the value of theta, the speed of the toy car driving around the circular track with an angle of incline theta, where sin(theta) = 1/2, is equal to √(7√3) feet per second.

The equation tan(theta) = s^2/49 represents the speed, s, in feet per second, of a toy car driving around a circular track with an angle of incline, theta, where sin(theta) = 1/2.

To solve this problem, we need to use the given information about sin(theta) to find the value of theta. Since sin(theta) = 1/2, we can determine that theta is equal to 30 degrees.

Now that we know the value of theta, we can substitute it into the equation tan(theta) = s^2/49. Plugging in 30 degrees for theta, the equation becomes tan(30) = s^2/49.

The tangent of 30 degrees is equal to √3/3. So, we have √3/3 = s^2/49.

To solve for s, we can cross multiply and solve for s^2. Multiplying both sides of the equation by 49 gives us 49 * (√3/3) = s^2.

Simplifying, we get √3 * 7 = s^2, which becomes 7√3 = s^2.

To find the value of s, we take the square root of both sides. So, s = √(7√3).

Therefore, the speed of the toy car driving around the circular track with an angle of incline theta, where sin(theta) = 1/2, is equal to √(7√3) feet per second.

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Answer: 137 degrees

Step-by-step explanation:

It's in the sentences, the angle is 137 degrees

Answer: y = 14.50x + 2.99

Step-by-step explanation:

The equation is y = mx + b

y is the total cost and x is the number of shirt

We know each shirt is $14.50, and she bought x shirts, so 14.50 is the slope

The 2.99 shipping fee is the y-intercept

So our equation is

y = 14.50x + 2.99

Answer:

Yes, by AA, since angle DEF is congruent to HEJ (vertical angles are congruent), and angle DFE is congruent to HJE.

So triangle DEF is similar to triangle HEJ.

Answer:I=(PxRxT)/100

I=(10000x20x1)/100x2

I=200000/200

I=1000

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation: }\)

\(\mathbf{-8y = 7y - 5}\)

\(\huge\textbf{Solving for the equation:}\)

\(\mathbf{-8y = 7y - 5}\)

\(\mathbf{7y - 5 = -8y}\)

\(\huge\textbf{SUBTRACT 7y to BOTH SIDES}\)

\(\mathbf{-8y - 7y = 7y - 5 - 7y}\)

\(\huge\textbf{SIMPLIFY IT!}\)

\(\mathbf{-15y = -5}\)

\(\huge\textbf{DIVIDE -15 to BOTH SIDES}\)

\(\mathbf{\dfrac{-15y}{-15} = \dfrac{-5}{-15}}\)

\(\huge\textbf{SIMPLIFY IT!}\)

\(\mathbf{y = \dfrac{-5}{-15}}\)

\(\mathbf{y = \dfrac{-5\div-5}{-15\div-5}}\)

\(\mathbf{y = \dfrac{1}{3}}\)

\(\huge\textbf{Met your answer:}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{y = \dfrac{1}{3}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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The 95 percent confidence interval for the mean (μ) is (31.19, 34.41).

What is standard deviation?

A measure of a group of values' variance or dispersion in statistics is called the standard deviation. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high.

Given: A random sample of size 30 from a normal population yields a sample mean of 32.8.

The population standard deviation is known to be 4.51.

X bar = 32.8

s = 4.51

We have to construct a 95 percent confidence interval for the mean (μ).

So, the interval is,

32.8 ± 1.96 (4.51 / √30) = 31.19 to 34.41

Hence, the 95 percent confidence interval is, (31.19, 34.41).

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Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet