Please help!!! Find the value of x, y, and z in the rhombus below.

Answer:

-4

Step-by-step explanation:

Substitute \(x = 2\) in to the function

\(f(2) = 2^2 -5(2) + 2\)

= -4

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

To know more about amount visit:
https://brainly.com/question/32453941

#SPJ11

The procedure for finding the area between two curves Find the intersection points, set up the integral using the difference between the curves, integrate, take the absolute value, and evaluate the result and the area between the two curve in excercise 1 is 40/3

The procedure for finding the area between two curves involves the following steps:

Identify the two curves: Determine the equations of the two curves that enclose the desired area.

Find the points of intersection: Set the two equations equal to each other and solve for the x-values where the curves intersect. These points will define the boundaries of the region.

Determine the limits of integration: Identify the x-values of the intersection points found in step 2. These values will be used as the limits of integration when setting up the definite integral.

Set up the integral: Depending on whether the curves intersect vertically or horizontally, choose the appropriate integration method (vertical slices or horizontal slices). The integral will involve the difference between the equations of the curves.

Integrate and evaluate: Evaluate the integral by integrating the difference between the two equations with respect to the appropriate variable (x or y), using the limits of integration determined in step 3.

Calculate the absolute value: Take the absolute value of the result obtained from the integration to ensure a positive area.

Round or approximate if necessary: Round the final result to the desired level of precision or use numerical methods if an exact solution is not required.

In summary, to find the area between two curves, determine the intersection points, set up the integral using the difference between the curves, integrate, take the absolute value, and evaluate the result.

Here's the procedure explained using the exercises:

Exercise 1:

Consider the functions F(x) = \(x^2 + 2x + 1\)and f(x) = 2x + 5. To find the area between these curves, follow these steps:

Set the two functions equal to each other and solve for x to find the points of intersection:

\(x^2 + 2x + 1 = 2x + 5\)

\(x^2 - 4 = 0\)

(x - 2)(x + 2) = 0

x = -2 and x = 2

The points of intersection, x = -2 and x = 2, give us the bounds for integration.

Now, determine which curve is above the other between these bounds. In this case, f(x) = 2x + 5 is above F(x) =\(x^2 + 2x + 1.\)

Set up the integral to find the area:

Area = ∫[a, b] (f(x) - F(x)) dx

Area = ∫\([-2, 2] ((2x + 5) - (x^2 + 2x + 1)) dx\)

Integrate the expression:

Area = ∫\([-2, 2] (-x^2 + x + 4) dx\)

Evaluate the definite integral to find the area:

Area = \([-x^3/3 + x^2/2 + 4x] [-2, 2]\)

Area = [(8/3 + 4) - (-8/3 + 4)]

Area = (20/3) + (20/3)

Area = 40/3

Therefore, the area between the curves F(x) = \(x^2 + 2x + 1\)and f(x) = 2x + 5 is 40/3 square units.

For more question on integrate visit:

https://brainly.com/question/31415025

#SPJ8

Answer:

x=22/5

Step-by-step explanation:

multiply by 3 on both sides

7+x=6x-15

x=6x-22

-5x=-22

*-1 on both sides

5x=22

x=22/5

To determine the probability that it would be more than 30 minutes before the next person is admitted to the hospital, we would need information about the admission process, such as the average rate of admissions or the distribution of inter-admission times.

However, if we assume that the time between admissions follows a continuous random distribution and is independent of the previous admission time, we can make some general assumptions.

Let's assume the time between admissions follows an exponential distribution with a mean of λ (lambda). The exponential distribution is commonly used to model the time between events that occur randomly and independently over time.

In this case, the probability that it would be more than 30 minutes before the next person is admitted can be calculated as the complement of the cumulative distribution function (CDF) of the exponential distribution at 30 minutes.

P(Time > 30 minutes) = 1 - CDF(30 minutes).

To learn more about probability: https://brainly.com/question/13604758

#SPJ11

Answering is false I know because I’m smart

Answer:

Step-by-step explanation:

area of A=15*18=270 cm^2

area of B=15*18=270 cm^2

area of C=1/2 ×x×18=9x cm²

area of D=1/2×15×18=135 cm²

The statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

The comparison test states that if 0 ≤ f(x) ≤ g(x) and the integral of g(x) dx diverges, then the integral of f(x) dx also diverges. However, the statement assumes that f(x) and g(x) are equal to zero, which means that 0 ≤ f(x) ≤ g(x) is not satisfied.

Additionally, the assumption that g(x) dx diverges does not necessarily imply that f(x) dx also diverges. For example, let g(x) = 1/x^2 and f(x) = 0 for all x. Then g(x) dx diverges, but f(x) dx converges to zero.

In conclusion, the statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

For more questions like Comparison test click the link below:

https://brainly.com/question/30761693

#SPJ11

Answer:

x=2

Step-by-step explanation:

Combine like terms, add 8 to both sides of the equation, simplify, divide both sides by the same term, simplify

Answer:

x = 2

Step-by-step explanation:

1. Combine like terms

15x - 8 - 3x = 16

1 2  −  8  =  1 6

2. Add  8  to both sides of the equation

1 2  −  8  =  1 6

      +8   +8

3. Simplify

12x = 24

12x/12 = 24/12

x = 2

Answer:

Step-by-step explanation:

is this involved with the pythagorean angles?\

Answer:

I believe that the proper answer you would be looking for is...

Step-by-step explanation:

the measure of angle 2 would make this a prime factor of the factor tree and than you would use the 3 which is also a prime factor to make sure that 132 is prime if it is not prime you can not find the measure of angle 2.

but actually its congurent to 132 so its 132

Answer:

11.2m (NOT SURE)

Step-by-step explanation:

1. First subtract

90 - 36 = 54

this is because triangles always have 90 degrees in total.

54 ÷ 4.8m

11.2m

I'm not entirely sure this is the answer, so if someone else answers I would suggest going with theirs

Answer:

This doesn't show an accurate representaion.

Step-by-step explanation:

Jenny is not surveying the entire group, only the first 25 to enter the school. This is not a "fair" survey because Jenny isn't surveying the entire class. To make this fair, she should wait for all the students to enter the school, then survey all of them so that every student votes.

The opposite of being short $4.28 would be having $4.28 or more. That is a surplus or extra of $4.28.

Surplus refers to an amount or quantity that is left over or in excess of what is needed or used. It can refer to various things, such as:

In finance, a surplus refers to an excess of revenue over expenses, or an excess of assets over liabilities. It means having more of something than is necessary or expected.

Therefore, the opposite of being short $4.28 would be having $4.28 or more. This is often referred to as having a surplus or extra of $4.28.

Learn more about surplus on:

brainly.com/question/14332993

#SPJ1

Answer:

Let f be the number of foil balloons Lyla buys, and let t be the number of toy balloons she buys. Then, we can set up a system of linear equations based on the information given:

f + t = 30 (since Lyla buys a total of 30 balloons)

5.49f + 2.29t = 123.10 (since Lyla pays a total of $123.10 for the balloons)

To solve for f and t, we can use the substitution method. From the first equation, we can solve for t in terms of f:

t = 30 - f

Substituting this expression for t into the second equation, we get:

5.49f + 2.29(30 - f) = 123.10

Simplifying and solving for f, we get:

5.49f + 68.70 - 2.29f = 123.10

3.20f = 54.40

f = 17

So Lyla buys 17 foil balloons. We can substitute this value of f back into the first equation to solve for t:

17 + t = 30

t = 13

Therefore, Lyla buys 17 foil balloons and 13 toy balloons.

Answer:

Use DESMOS graphing calculator

Here's the picture for the answer.

Hope this helped :)

Answer:

1. acute angle (less than <90)

2. right angle (approximately <90)

3. obtuse angle (more than <90)

4. acute angle (less than <90)

Answer:  ADB (245 degrees)

(Third option fyi)

Step-by-step explanation:

The population in 2007 will be 873.

We know that in 1995 the population in a town was 60.

Each year, it increases by 25%, then the population function as a function of x, the time in years, is:

P(x) = 60*(1 + 0.25)^x

The population in 2007 is what we get if we evaluate the function in x = 12 (12 yearsafter 1995) the population will be:

P(12) = 60*(1 + 0.25)^12 = 873

Learn more about population at:

https://brainly.com/question/25630111

#SPJ1

Since Claire has 6 large envelopes and 11 tiny envelopes, the ratio of big envelopes to all envelopes is 6/17.

A problem-solving technique known as the unitary approach involves expressing a relationship between two or more variables as a unit rate or a unitary fraction. According to the definition of "unitary," which is "relating to a unit," this technique expresses the relationship between the variables in terms of a single unit, which can be used to determine the value of one of the variables if the value of the other variable is known. For instance, we can use the unitary technique to determine the cost of 1 pencil if the cost of 10 pencils is $2.

given

Claire has the following amount of envelopes in total:

6 + 11 = 17

The following formula can be used to describe the proportion of large envelopes to all envelopes:

oversized envelopes and all envelopes

When we change the numbers, we obtain:

6 / 17

The proportion of big envelopes to all envelopes is shown here. By dividing the numerator and denominator by their largest common factor, in this case 1, it can be made simpler. As a result, the percentage is as follows:

6/17

Since Claire has 6 large envelopes and 11 tiny envelopes, the ratio of big envelopes to all envelopes is 6/17.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ1

The reflection of the triangle JKL across the line x = 4 is equivalent to flipping the preimage across the line x = 4.

The correct coordinates are;

⇒ J' = (7, - 1)

⇒ K' = (6, 3)

⇒ L' = (5, - 2)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Here, The given transformation is a reflection about the line x = 4

And, The points of triangle JKL are J(1, -1), K(2, 3), and L(3, -2), in the line x = 4

We know that;

The coordinates of the triangle JKL following a reflection across the line x = 4, have the same y-coordinates , while the x-coordinates have the same distance magnitude to the line x = 4, but opposite sign.

Hence, Distance between x-coordinate of the point J and the line x = 4 is 4 - 1 = 3

Which gives;

Distance between x-coordinate of the point J' and the line x = 4 is 4 + 3 = 7

Therefore, the coordinate of the point J' is (7, - 1)

Similarly, we have;

Distance between x-coordinate of the point K and the line x = 4 is

4 - 2 = 2

Distance between x-coordinate of the point K' and the line x = 4 is

4 + 2 = 6

Hence, The coordinate of the point K' is (6, 3)

And, Distance between x-coordinate of the point L and the line x = 4 is

4 - 2 = 2

Distance between x-coordinate of the point L' and the line x = 4 is

4 + 2 = 6

Hence, The coordinate of the point L' is (5, - 2)

Learn more about the triangle here:

brainly.com/question/24758871

#SPJ1

Answer:

One may think that he is the most powerful Sith Lord, and on some levels this is correct, but that title falls to another, even more powerful Sith Lord. That is Jar Jar Binks. He possesses the power to wipe out entire universes without blinking an eye. Jar Jar is an entity that was here before the universe was created. He made God. He even made Shaggy in his image so that he could have a set of eyes on Earth. He needed a right hand man to corrupt humanity at its source. Some might say that Jar Jar is the true form of evil, but I refute that claim with an argument of my own. Jar Jar Binks may have destroyed countless lives, but he did so in order to keep the balance of the universe, and for that, I thank him. All hail Jar Jar.

 Step-by-step explanation:

To graph a rational function example, start by writing the equation in the form y = (ax + b)/(cx + d).

Then, plot the points where the denominator equals zero (when x = -d/c). These points are called vertical asymptotes.Next, plot the points where the numerator equals zero (when x = -b/a). These are called horizontal asymptotes.Finally, plot points between the vertical and horizontal asymptotes to graph the rational function.Plotting the points between the vertical and horizontal asymptotes will allow you to see the shape of the graph. Start by plotting points on either side of the vertical and horizontal asymptotes. Then, plot points at evenly spaced x-values between the vertical and horizontal asymptotes. For example, if the vertical asymptote is at x=-d/c, and the horizontal asymptote is at x=-b/a, you can plot points at x=-1.5d/c, x=-0.5d/c, x=-1.5b/a, and x=-0.5b/a. By plotting these points and connecting them with a smooth curve, you can graph the rational function.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

Answer: 70

Step-by-step explanation:

a^2 + b^2 = c^2

24^2 + b^2 = 74^2

576 + b^2 = 5,476

-576             -576

b^2             =4,900

(square root)

b                 =70

Answer:

20

Step-by-step explanation:

\(20^{2} = 400\)

\(\sqrt{400} = 20\)

Answer: The square root of 400 is 20.

Step-by-step explanation:

The square root of a number is the value that, when multiplied by itself, gives the original number. To find the square root of 400, you can use the long division method or an electronic calculator.

Alternatively, you can approximate the square root of 400 by finding the nearest perfect square (a number whose square root is a whole number). In this case, the perfect squares closest to 400 are 361 and 441. Since the square root of 361 is 19 and the square root of 441 is 21, you can estimate that the square root of 400 is between 19 and 21. Since 20 is halfway between 19 and 21, you can approximate the square root of 400 to be 20.

Answer:

B

Step-by-step explanation:

To go from B' to B , perform the inverse operation

That is the translation rule is (x - 4, y - 5 ) , then

B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B

Answer:

I'm pretty sure your just confused. ^^

Step-by-step explanation:

Answer:

Your right

Step-by-step explanation: