find the area of the figure below, composed of a rectangle and semicircle. Round it to the nearest tenth.

Answer:

2 pounds.

Step-by-step explanation:

Ellie has 14 lbs of cheese. She wants to eat the same amount for 7 days, or a week.

We would have to divide the number of pounds by the number of days that she wants to eat the same amount.

=========================================

\(\frac{\text{pounds of cheese}}{\text{number of days}} =\frac{14\text{lb.}}{7\text{ days}} = \frac{{14\text{lb.}/7}}{7\text{days}/7} }= \boxed{\frac{2\text{lb.}}{\text{1 day}}}\)

=========================================

Since Ellie would have the same amount each day, she would eat 2 lbs not for just the first day, she would have 2 lbs per day for the whole week.

=========================================

Hope this helps!

The amount needed in the account is 182,713.25 dollars then the correct option is B.

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

Then the formula of monthly payment (MP) will be

\(\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\\)

The formula can be written as

\(\rm P = MP \times \dfrac{(1+r)^n-1}{r(1+r)^n}\\\)

You plan on supplementing your income. you would like to withdraw a semiannual salary of $6,951.20 from an account paying 1.75% interest, compounded semiannually.

The amount needed in the account is such that you can withdraw the needed amount at the end of each period for 15 years will be

MP = $6951.20

r = 0.00875

n = 30

Then we have

\(\rm P = 6951.20 \times \dfrac{(1+0.00875)^{30}-1}{0.00875(1+0.00875)^{30}}\\\\P = \$182713.25\)

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The translation is 7 units up and 2 units to the right.

Part 1) The translational rule is (x,y) ———> (x+2,y+7)

Part 2) B' (2,4)

Part 3) C' (6,1)

Discover the translation's rules.

The fact that

The change from point A to point A' is equivalent to

A(2,4) ------> A'(6,1) (6,1)

so

The translation's rule is equivalent to

(x,y) ———> (x+a,y+b)

(2,4) ------> (-2+a,4+b)

Discover a value for

2+a=0 -----> a=2

Assess b's value.

1+b=6 -----> b=7

the values of a and b in place

(x,y) ———> (x+2,y+7)

This implies ——> The translation is 7 units up and 2 units to the right.

The translation is 7 units up and 2 units to the right.

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Answer:

Step-by-step explanation:

"Acquisitions, according to research, usually result in value destruction rather than value creation for acquiring firms." This is true.

Numerous studies conducted over the years have revealed that the majority of mergers and acquisitions do not produce the expected synergies—in fact, many do the opposite and reduce value. Managing the process from merger preparation to post-merger integration is key to the idea of wealth creation through mergers and acquisitions.

The procedure entails a careful evaluation of whether a transaction is worthwhile to pursue or not, a solid strategy, and an M&A methodology. Before engaging in a deal or dealing with a cultural problem that might undermine the real value of their long-term strategy, acquirers must have their value creation strategy in place.

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The complete question is:

Acquisitions, according to research, usually result in value destruction rather than value creation for acquiring firms. True or False.

the values of x and y that satisfy the system of equations are x = -14/11 and y = 13/11.

To solve the system of linear equations using one of the three methods (elimination, substitution, or matrix inversion), let's first check the rank of matrix A and [A b].

The matrix A is a 3x2 matrix:

A = [2 3]

[-1 4]

[5 -6]

To find the rank of A, we can perform row operations to reduce the matrix to row-echelon form. The rank of A is equal to the number of non-zero rows in its row-echelon form.

Performing row operations on A, we have:

Row 2 = Row 2 + 0.5 * Row 1

Row 3 = Row 3 - 2.5 * Row 1

The row-echelon form of A is:

A = [2 3]

[0 5]

[0 -21]

Since A has two non-zero rows, the rank of A is 2.

Next, we check the rank of [A b]. The vector b is a 3x1 vector:

b = [1]

[6]

[-3]

We can append vector b as an additional column to matrix A:

[A b] = [2 3 1]

[-1 4 6]

[5 -6 -3]

Performing row operations on [A b], we have:

Row 2 = Row 2 + Row 1

Row 3 = Row 3 - 2 * Row 1

The row-echelon form of [A b] is:

[A b] = [2 3 1]

[0 7 7]

[0 -12 -5]

Since [A b] has two non-zero rows, the rank of [A b] is also 2.

Since the rank of A and [A b] are both 2, we can proceed with solving the system of linear equations using any of the three methods.

Let's use the method of matrix inversion to solve the system.

The system of equations can be written as a matrix equation:

Ax = b

To find x, we can multiply both sides of the equation by the inverse of A:

\(A^(-1) * A * x = A^(-1) * b\)

\(I * x = A^(-1) * b\)

\(x = A^(-1) * b\)

To find the inverse of A, we can use the formula:

\(A^(-1) = (1 / (ad - bc)) * [d -b][-c a]\)

Plugging in the values of matrix A, we have:

\(A^(-1) = (1 / (2 * 4 - 3 * -1)) * [4 -3][1 2]\)

Calculating the inverse of A, we have:

A^(-1) = (1 / 11) * [4 -3]

[1 2]

Multiplying A^(-1) by vector b, we have:

\(x = (1 / 11) * [4 -3] * [1][6][-3]\)

Calculating the product, we get:

x = (1 / 11) * [4 * 1 + -3 * 6]

[1 * 1 + 2 * 6]

Simplifying, we have:

x = (1 / 11) * [-14]

[13]

Therefore, the solution to the system of linear equations is:

x = -14/11

y = 13/11

Hence, the values of x and y that satisfy the system of equations are x = -14/11 and y = 13/11.

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Answer:

It will take 9 minutes

Step-by-step explanation:

18:6=3

- 1 jump every 3 minutes

3 x 3 = 9

(but I'm not sure if it is correct because i did not really understood the question)

Answer:

40

Step-by-step explanation:

The area of the second triangle is 200 square unit.

Given:

the area of the first triangle, A = 8 square unit

let the base of the first triangle = b

let the height of the first triangle = h

then, base of the second triangle = 5b

height of the second triangle = 5h

To find:

the area of the second triangle

The area of the first triangle is given as;

\(A = \frac{bh}{2} \\\\2A = bh\\\\2(8) = bh\\\\16 = bh ---- (1)\)

The area of the second triangle is calculated as;

\(A = \frac{5b \times 5h}{2} \\\\A = \frac{25bh}{2} \\\\recall, bh = 16\\\\A = \frac{25 \times 16}{2} \\\\A = 200 \ unit^2\)

Thus, the area of the second triangle is 200 square unit.

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Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.

We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.

We also know that the mean of all 30 scores is 73. So we can write an equation:

[(28 * 72) + x + y]/30 = 73

Multiplying both sides by 30, we get:

2016 + x + y = 2190

So, x + y = 174.

We are given that the difference of the two scores is 22, so we can write another equation:

y - x = 22

Solving these two equations simultaneously, we get y = 98 and x = 76.

Therefore, the lower score from this morning is 76.

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Answer:

72 squared meters

Step-by-step explanation:

triangle area= 1/2 bh

16 x 9 = 144

144 x 1/2 = 72

Hope this helps

Answer:

A = 72m



The sides we would need to multiply are:
9m x 16m

The formula for finding the area of a triangle is:
L x W X 1/2


9m x 16m =

9m x 10m = 90
9m x 6m = 54


90m + 54m = 144m

144m / 2 = ?m

? = 72m

Step-by-step explanation:

Have a great rest of your day
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The cost of installing a typical septic system without any special features can vary depending on various factors, such as the size of the property, soil type, and location. On average, a septic system installation can cost anywhere from $3,000 to $7,000.

The cost of installing a septic system can depend on various factors, such as the size of the property, soil type, location, and regulations in the area. The installation process typically involves excavating the area, installing the septic tank and leach field, and connecting the plumbing to the septic system. The cost of the septic tank itself can range from $500 to $2,000, and the leach field can cost around $2,000 to $4,000. In addition, there may be additional costs associated with obtaining permits and hiring contractors.

Therefore, the cost of installing a typical septic system without any special features can range from $3,000 to $7,000, depending on various factors.

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Given: The line has an x-intercept at x=-3 and a y-intercept at y=5, we are to find its equation in the form\(\( y=m x+b \)\).The intercept form of the equation of a straight line is given by:

\($$\frac{x}{a}+\frac{y}{b}=1$$\) where a is the x-intercept and b is the y-intercept.

Substituting the given values in the above formula, we get:\[\frac{x}{-3}+\frac{y}{5}=1\]

On simplifying and bringing all the terms on one side, we get:\(\[\frac{x}{-3}+\frac{y}{5}-1=0\]\)

Multiplying both sides by -15 to clear the fractions, we get:\(\[5x-3y+15=0\]\)

Thus, the required equation of the line is:  

\(\[5x-3y+15=0\]\) This is the equation of the line in the form \(\( y=mx+b \)\)where\(\(m\)\) is the slope and\(\(b\)\) is the y-intercept, which we can find as follows:

\(\[5x-3y+15=0\]\[\Rightarrow 5x+15=3y\]\[\Rightarrow y=\frac{5}{3}x+5\]\)

Therefore, the equation of the given line is \(\(y=\frac{5}{3}x+5\).\)

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Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

They equal the same decimal, and if you multiply 13 with each of them, you get the same fraction.

In equation 7(0) = [3, 2], the solution for t > 0 is x1 = 2t + 3.22 - 21 and x2 = 2t.

The equation 7(0) = [3, 2] represents a linear system of equations with two variables, x1 and x2. By solving the system, we find that x1 is equal to 2t + 3.22 - 21 and x2 is equal to 2t.

To obtain these solutions, we can interpret the equation as follows: the coefficient of x1 is 2 in the first equation, and the constant term is 3.22 - 21. This means that as t increases, x1 will increase by twice the rate of t, starting from 3.22 - 21.

Similarly, the coefficient of x2 is also 2, indicating that x2 will increase at the same rate as t. Therefore, the solution for the given equations is x1 = 2t + 3.22 - 21 and x2 = 2t, where t > 0.

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Answer:

im pretty sure its a,e and i,d

Step-by-step explanation:

Answer:

p-o

u-t

e-l

s-d

r-w

b-z

a-n

Step-by-step explanation:

For y-fx)=xex-5, when x= 5 and dx=0.1 : dy Hence the linear approximation using dy is f(5.1)-f(5)+dy)= 0%:  the linear approximation using dy is f(5.1)-f(5)+dy)= 0% (rounded to the nearest percent).

The problem is asking for the linear approximation of the function f(x) = xex-5 at x=5 using dy, when dx=0.1.

To begin, we need to find dy. We can do this by taking the derivative of f(x) with respect to x and then plugging in x=5 and dx=0.1:

f'(x) = ex + xex-5
f'(5) = e^5 + 5e^0 = e^5 + 5

dy = f'(5) dx = (e^5 + 5)(0.1) = e^5/10 + 0.5

Now we can use the linear approximation formula:

f(x+dx) ≈ f(x) + f'(x) dx

Plugging in x=5, dx=0.1, and dy=e^5/10 + 0.5:

f(5.1) ≈ f(5) + f'(5) (0.1) + dy
f(5.1) ≈ (5e^0) + ((e^5 + 5)(0.1)) + (e^5/10 + 0.5)
f(5.1) ≈ 5.7e^0 + 1.05e^5 + 1

Finally, we can check the accuracy of this linear approximation by calculating the percentage error:

(f(5.1) - f(5) - dy) / f(5.1) x 100%

= [(5.7e^0 + 1.05e^5 + 1) - (5e^0 + e^5 - 5) - (e^5/10 + 0.5)] / (5.7e^0 + 1.05e^5 + 1) x 100%

= -0.0005%

Therefore, the linear approximation using dy is f(5.1)-f(5)+dy)= 0% (rounded to the nearest percent).

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Cyber safety is the use of information and communication technologies in a responsible and safe manner. It involves protecting information and keeping it secure, but it also entails handling information responsibly, showing consideration for others online, and following proper internet etiquette.

The Essential Eight are a collection of eight mitigation techniques: application control, application patching, configuring Microsoft Office macro settings, user application hardening, limiting administrative rights, operating system patching, multi-factor authentication, and regular backups.

Best Cybersecurity Advice for 2023:

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Answer:

It is 14.45 percent

Step-by-step explanation:

The first day is independent from the day before. Therefore the first day probability (of rain) is 20 percent.

The second day (depends on the previous day) rainfall probability is 85 percent.

Finally, the third day (it must be rainy to satisfy the total probability) rainfall probability is 85 percent.

The probability of having three consecutive days which are rainy:

P(all rainy)

=

0.20

×

0.85

×

0.85

=

0.1445

or 14.45 percent.

(a) The values of f(0) = 3 and g(2) = 2.

(b) The values of x for which f(x) = g(x) are -2, 2.

(c) The solutions of the equation f(x) = −1 are x = -3, 4.

(d) The interval on which f is decreasing is [0, 4].

(e) The domain and range of f are:

domain = [-4, 4].

range = [-2, 3].

(f) The domain and range of g are:

domain = [-4, 3].

range = [-0.5, 4].

In Mathematics and Geometry, a function is an equation which defines and represents the relationship that exist between two or more variables.

Part a.

By critically observing the graph of f(x) and g(x) shown in the image attached below, the corresponding output values are as follows:

f(0) = 3.

g(2) = 2.

Part b.

The values of x for which f(x) is equal to g(x) are x = -2 and x = 2;

f(-2) = g(-2) = 1.

f(2) = g(2) = 2.

Part c.

The estimated solutions of the equation f(x) = −1 are as follows;

f(-3) = -1

f(4) = -1

Therefore, x = -3, 4.

Part d.

The function f(x) is decreasing over this interval [0, 4].

Part e.

By critically observing the graph of f(x) shown in the image attached below, we can logically deduce the following domain and range:

domain = [-4, 4].

range = [-2, 3].

Part f.

By critically observing the graph of g(x) shown in the image attached below, we can logically deduce the following domain and range:

domain = [-4, 3].

range = [-0.5, 4].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.

The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.

First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.

To find the circumference of the circle, we can use the formula:

C = πd

where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:

C = 3.14 x 8.4 = 26.376

Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).

To find the area of the circle, we can use the formula:

A = πr²

where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:

A = 3.14 x (4.2)² = 55.3896

Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).

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Answer:

Step-by-step explanation:

8.1

Answer:

x = 1/2 or x = -4

Step-by-step explanation:

Since the product equals zero, use the zero product rule.

(2x - 1)(x + 4) = 0

2x - 1 = 0 or x + 4 = 0

2x = 1   or   x = -4

x = 1/2 or x = -4

Answer: you have 2 solutions for that equation, 1/2 and -4

Step-by-step explanation:

(2x-1)(x+4)=0

2x^2+8x-x-4=2x^2+7x-4

use the formula for quadratic equations

x₁ and x₂  =-(7 (+-)\(\sqrt49+32\))/4=

we have x1= 1/2 and x 2=4

A characteristic of the classical approach to probability include the following: D. probabilities assume outcomes of an experiment are equally likely.

In Science, an experiment is a scientific investigation which typically involves the process of manipulating an independent variable (the cause), in order to determine or measure the dependent variable (the effect).

In Mathematics and statistics, an expected value is sometimes referred to as the long-term mean (average) of a discrete random variable, E(X) and it can be calculated by taking the weighted average of all the outcomes of the discrete random variable with respect to their probabilities.

In this context, we can logically deduce that a characteristic of the classical approach to probability is that most times probabilities assume outcomes (results) of an experiment are equally likely.

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The current share price of Burkhardt Corp. is $65.06.

To determine the current share price of Burkhardt Corp., we can use the dividend discount model (DDM). The DDM calculates the present value of all future dividends to determine the stock's intrinsic value.

The company pays a constant dividend of $14.90 for the next six years and then stops paying dividends forever. We need to calculate the present value of these future dividends.

Using the formula for the present value of a perpetuity,

we find that the present value of the six years of dividends is:

PV =

\(D / (1 + r) + D / (1 + r)^2 + ... + D / (1 + r)^6\)

Where:

PV = Present value of dividends

D = Dividend payment

r = Required return rate

Plugging in the given values, we have:

PV =

\(14.90 / (1 + 0.10) + 14.90 / (1 + 0.10)^2 + ... + 14.90 / (1 + 0.10)^6\)

Calculating this sum, we find the present value of the six years of dividends to be approximately $65.06.

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hey you man what are you going here go to there

Jadi, ada 35 siswa yang memilih Hidayat sebagai ketua kelas.

Jika pemilihan ketua kelas melibatkan 250 siswa dan persentase pemilih Hidayat adalah 14%, kita dapat menghitung jumlah siswa yang memilih Hidayat sebagai berikut:

Jumlah siswa yang memilih Hidayat = Persentase pemilih Hidayat × Jumlah siswa

= 0.14 × 250

= 35

Jadi, ada 35 siswa yang memilih Hidayat sebagai ketua kelas.

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