5
ARK
Simplify each of the following expressions:
4+ (-9) + 3 =

Answer:

0

Step-by-step explanation:

2(3x -1)  + 2(4x + 5) = 8  Distribute the 2's

2(3x) + 2(-1) + 2(4x) + 2(5) = 8

6x - 2 + 8x +10 = 8  Combine like terms

14x + 8 = 8    Subtract 8 from both sides of the equaion

14x = 0  Divide both sides by 14

x = 0

Answer:

Substract by 2: n+8, 2n+8, 2n+8

Divide by 2: (n+8)/2, (n+8)/2, (n+8)/2

Step-by-step explanation:

Answer:

5 1/2 + 3/4

11/2 + 3/4

22+3/4

25/4

=6 1/4

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

The length is seven times the width is written as

l = 7w

Area of the rectangle = 175 cm²

7w × w = 175

7w² = 175

Divide both sides by 7

w² = 25

Find the square root of both sides

w = √25

w = 5cm

But l = 7w

l = 7(5)

l = 35cm

The length is 35cm

The width is 5cm

Hope this helps you.

Answer:

18in.,2ft.,1yd.,2yd.,9ft.

Step-by-step explanation:

18 inches is 1 foot and 6 inches so its the smallest. 2 feet is smaller than a yard so it goes next.After that is the yard it is 3 feet so thats why it goes after 2 feet.2 yards is 6 feet and 9 feet is bigger than 6 so thats why its the last.

Answer:

18 inches  inches is 1 foot and 6 inches so its the smallest. 2 feet is smaller than a yard so it goes next.After that is the yard it is 3 feet so thats why it goes after 2 feet.2 yards is 6 feet and 9 feet is bigger than 6 so thats why its the last.

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

More can be learned about the Empirical Rule at https://brainly.com/question/10093236

#SPJ1

Answer:

B. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.

Step-by-step explanation:

Parallelogram 1:

Base = 12345678

Height = 2 (multiplier)

Area = Base × Height = 12345678 × 2 = 24691356 square units

Parallelogram 2:

Base = 12345678

Height = 1 (multiplier)

Area = Base × Height = 12345678 × 1 = 12345678 square units

Now, let's compare the areas:

The area of parallelogram 1 is 24691356 square units, and the area of parallelogram 2 is 12345678 square units. The area of parallelogram 1 is twice the area of parallelogram 2.

Therefore, the correct option is:

B. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.

The test statistic is given as follows:

z = -1.77.

As the test statistic is less than the critical value for the left-tailed test, this evidence demonstrates that the direct mail campaign is not cost effective.

The equation for the test statistic is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(p = 0.28, n = 165, \overline{p} = 0.2182\)

The critical value for a left tailed test with a significance value of 0.05 is given as follows:

z = -1.645.

The test statistic is then given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.2182 - 0.28}{\sqrt{\frac{0.28(0.72))}{165}}}\)

z = -1.77.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Answer

The answer is (3, 1), (6, 2), (9, 3) and (1.5, 3), (3, 6), (4, 8)

Step-by-step explanation:

Answer:

(3, 1), (6, 2), (9, 3) and (1.5, 3), (3, 6), (4, 8)

Step-by-step explanation:

I JUST DID THIS PLS MAR BRAINIEST

As a result, the limit value is 0. This indicates that the derivative of the function f(x) = x² when x = -5 equals zero.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The limit in question is a definition of the derivative of a function at a point. In this case, we want to evaluate the limit as h approaches 0 of the expression (f(x + h) - f(x)) / h, where f(x) = x² and x = -5.

Substituting the given values, we have:

lim _h right arrow 0 (x² + h²- x²) / h = lim _h right arrow 0 h² / h = lim _h right arrow 0 h = 0

So the value of the limit is 0. This means that the derivative of the function f(x) = x² at the point x = -5 is equal to 0.

To know more about function,

https://brainly.com/question/28193995

#SPJ4

After 5 minute, the water left in the bath tub is 24 gallons.

A recurrence relation is an equation that applies a rule to the previous phrase or terms in the series to produce the next term in the sequence.

The given recursive formula for amount of water,

aₙ = aₙ₋₁ - 12

Also given that,

a₀ = 84,

To find a₅, the amount of water left in bath tub after 5 minutes,

Follow the steps,

a₁ = a₀ - 12 ⇒ a₁ = 84 - 12 ⇒ a₁ = 72

a₂ = a₁ - 12 ⇒ a₂ = 72 - 12 ⇒ a₂ = 60

a₃ = a₂ - 12 ⇒ a₃ = 60 - 12 ⇒ a₃ = 48

a₄ = a₃ - 12 ⇒ a₄ = 48 - 12 ⇒ a₄ = 36

a₅ = a₄ - 12 ⇒ a₅ = 36 - 12 ⇒ a₅ = 24

Therefore, after 5 minute, the water left in the bath tub is 24 gallons.

To know more about Recursive formula on:

https://brainly.com/question/8972906

#SPJ1

Complete question is;

A company determines the mean and standard deviation of the number of sick days taken by its employees in one year. Which of the following is the best description of the standard deviation?

(A) Approximately the mean distance between the number of sick days taken by individual employees and the mean number of sick days taken by all employees

(B) Approximately the median distance between the number of sick days taken by individual employees and the median number of sick days taken by all employees

(C) The distance between the greatest number of sick days taken by an employee and the mean number of sick days taken by all employees

(D) The number of days separating the fewest sick days taken and the most sick days taken when considering all employees

(E) The number of days separating the fewest sick days taken and the most sick days taken when considering median number of sick days taken by all employees and the most sick days taken when considering the middle 50 percent of the distribution

Answer:

Option A is the correct answer.

Step-by-step explanation:

Standard deviation is given by the formula;

σ = √(Σ(x_i - μ)²)/n)

Where;

σ = population standard deviation

N = The population size

x_i = Each given value from the population

μ = Population mean

Thus;

Looking at the options,we can conclude that the best description of the standard deviation would be; approximately the mean distance between the number of sick days taken and the mean number of sick days taken by all employees.

Since

The total amount the Andersons budgeted for last year is $45,500

The given parameter:

Andersons travel budget percentage = 12%

amount budgeted by the Andersons for this year's travel = $5640

To find:

Let their total budget for last year = y

let the total amount for this year = T

From the given statement, their total budget for this year is $1500 more than last year.

y + 1500 = T

Find the total amount budgeted by this year (T).

Recall, 12% of the total = $5640

0.12T = 5640

T = 5640/0.12

T = $47,000

The total amount budgeted for this year is $47,000

Now, we can find the total amount budgeted for last year

y + 1500 = 47,000

y = 47,000 - 1500

y = $45,500

Thus, the total amount the Andersons budgeted for last year is $45,500

Learn more here:https://brainly.com/question/21158380

9514 1404 393

Answer:

Step-by-step explanation:

The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...

  y -195 = 15(x -9)

__

The "one-time fee" is the cost when hours are zero.

  y -195 = 15(0 -9)

  y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate

The one-time fee is $60.

Considering the given figure the measure of < LMN is solved to be 45

Information from the problem include

a diagram described as follows

triangle JKL, M is the midpoint of JL and N is the midpoint of KL.

If < LJK = 60 - 3x, and < LMN = 20 + 5x

The two sides are corresponding angels and therefore congruent

hence

60 - 3x = 20 + 5x

collecting like terms

60 - 20 = 5x + 3x

8x = 40

x = 40 / 8

x = 5

solving for  < LMN

= 20 + 5x

= 20 + 5 * 5

= 20 + 25

= 45

angle LMN is 45

Learn more about angle at:

https://brainly.com/question/25215131

#SPJ1

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

The critical values for the function are t = 6 , -5.667 where t = 6 makes sense . At t = 6 , y is increasing

According to the question,

After t hours of production, a plant produces an average of y units per hour, according to analysis of its daily output is

y = 102t + 0.5t² - t³ , 0 ≤ t ≤ 10

(a) To calculate critical values for the given function

We have to differentiate it w.r.t time and then have to put y'=0

=> y = 102t + 0.5t² - t³

Derivating w.r.t time

=> y' = 102 + t - 3t²

Equating to zero,

=>  102 + t - 3t² = 0

Solving quadratic equation,

=> t = 6 , -5.667 are critical values

(b) t = 6 makes sense in particular problem because time cannot be negative.

(c) To check increasing value

Derivate y' w.r.t time again

=> y" = 1 - 6t

Putting critical value,

At t = 6

y" < 0 , Therefore at t = 6 function is increasing

Hence , For t = 6 y is increasing

To know more about Critical value here

https://brainly.com/question/29095707

#SPJ4

Answer: D

Step-by-step explanation: Cuz i just know

Answer:

-11.5

Step-by-step explanation:

Replace equations

-2x-2=22-1

Add like

-2x-2=21

Add 2 from each side to get x by itself

-2x=23

Divide by -2 to get x by itself

x= -11.5

Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:

Course fees for continuing legal education: $1,400

Airfare and hotel room: $500

Meals provided by the hotel's restaurant: $300

Snacks from the newsstand: $10

To calculate the total amount that Bob can deduct, add up these expenses:

$1,400 + $500 + $300 + $10 = $2,210

Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

Find out more on deductible here: https://brainly.com/question/30349828

#SPJ1

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer: 7.9

Step-by-step explanation:

\(P=2000, r=0.09, n=2\\\\4000=2000\left(1+\frac{0.09}{2} \right)^{2t}\\\\4000=2000(1.045)^{2t}\\\\2=1.045^{2t}\\\\\log_{1.045} 2=2t\\\\t=\frac{\log_{1.045} 2}{2}\\\\t \approx 7.9\)

Answer:

x = 53° + 45°

= 98° is the answer

\(\huge\bold{Given :}\)

Angle GFH = 53°

Angle FHG = 45°

Angle FGA = \(x°\)

\(\huge\bold{To\:find :}\)

The value of \(x\).

\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)

\(\implies {\blue {\boxed {\boxed {\purple {\sf {\:x°\:=\: 98°}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

An exterior angle of a triangle is equal to sum of two opposite interior angles.

And so we have,

∠ FGA = ∠ GFH + ∠ FHG

➪ \(x°\) = 53° + 45°

➪ \(x°\) = 98°

Therefore, the value of \(x\) is 98°.

(Note: Kindly refer to the attached file.)

\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}\)

Let's call the highest score 'x'.

The scores in the crescent order would be:

20, 30, 50, 60, x.

So the median of those scores is 50.

If the mean and median are equal, we have that the mean is also 50, so we can find the value of x using:

So the highest score is 90.

Answer:

the value of x that makes the equation true is x = 3.5.

Step-by-step explanation:

To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.

Starting with the equation:

18x + 5 - 3 = 65

First, combine like terms:

18x + 2 = 65

Next, isolate the term with x by subtracting 2 from both sides:

18x = 65 - 2

18x = 63

Finally, divide both sides of the equation by 18 to solve for x:

x = 63 / 18

x = 3.5

Therefore, the value of x that makes the equation true is x = 3.5.

The answer is:

Steps & work :

First, I focus only on the left side.

Combine like terms:

\(\sf{18x+5-3=65}\)

\(\sf{18x+2=65}\)

Subtract 2 from each side:

\(\sf{18x=63}\)

Now, divide each side by 18:

\(\sf{x=\dfrac{63}{18}\)

Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:

\(\sf{x=\dfrac{7}{2}}\)

\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

If the circle is rotated about the vertical axis then it forms the shape of a sphere with the same center.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A circle is rotated around a vertical axis. The circle does not intersect the axis.

The three-dimensional shape resulting from the rotation will be

If the circle is rotated about the vertical axis then it forms the shape of a sphere with the same center.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ1

We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula

\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)

The Newton-Raphson method involves the following steps:

Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)

Find the next approximation x_{n+1} by using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Let's apply these steps to our equation \(x^k e^x = 0\):

Calculate the function value and its derivative:

\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)

Find the next approximation x_{n+1} using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Substituting the function value and its derivative:

\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)

Simplifying the expression by combining like terms:

\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

for such more question on Newton-Raphson iteration

https://brainly.com/question/17150870

#SPJ8