SOMEBODY PLEASE HELP ME it’s due at 11:59!

The given logarithm expression is:

This can be re-written as:

The average monthly power usage in the electrical maintenance shop is 51.93 kilowatt-hours.

The average monthly power usage in the electrical maintenance shop can be calculated by adding the power usage of each month and dividing by the number of months.

April: 42.2 kWh
May: 59.25 kWh
June: 53.63 kWh
July: 62.4 kWh
August: 63.75 kWh
September: 30.35 kWh

Total power usage: 42.2 + 59.25 + 53.63 + 62.4 + 63.75 + 30.35 = 311.58 kWh

Number of months: 6

Average monthly power usage: 311.58 kWh / 6 = 51.93 kWh

Know more about average here:

https://brainly.com/question/24057012

#SPJ11

True, If the null hypothesis states that there is no difference between the mean net income of retail stores in Chicago and New York City, then the test is two-tailed.

Step-by-step explanation:
1. The null hypothesis (H0) states that there is no difference between the mean net incomes of retail stores in the two cities: H0: μ1 = μ2.
2. The alternative hypothesis (H1) would be that there is a difference between the mean net incomes: H1: μ1 ≠ μ2.
3. Since the alternative hypothesis includes both possibilities of the mean net income in Chicago being either greater or less than that in New York City, it's a two-tailed test.

Learn more about null hypothesis : https://brainly.com/question/28920252

#SPJ11

Answer:

the picture is not coming clearly !!!

Answer:  Ro, 270°   and   Ro -90°

Step-by-step explanation:  If the vertex is at 5 on the y-axis at (0,5) and the transformation has moved the vertex to (5,0) it is now at +5 on the x-axis. This is a rotation around the origin, Rotation notation Ro.

This is fairly easy to visualize: like the hand of an analog clock moving from 12 o'clock to 3 o'clock.

In geometry, rotations are given in degrees, moving counter-clockwise. There are 360° in a circle.

Moving 3/4 of the way around the circle counterclockwise.  

Multiply(3/4)(360) =  270. This is a positive rotation, counter-clockwise

Clockwise, it is 1/4 of the circle, so Multiply (1/4)(360)= 90  But remember to add the negative sign because clockwise is considered a negative rotation.

Ro, -90°

The transformations that could have taken place are Ro, 270° and Ro -90°

The vertex of the triangle is given as: (0,5)

After transformation, the vertex of the image is given as: (5,0)

The transformation follows the rule:

\((x,y) \to (y,x)\)

The above rule represent:

Hence, the true statements are Ro, 270° and Ro -90°

Read more about transformation at:

https://brainly.com/question/1548871

Answer:

The degree of the given polynomial is 5

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.

The degree of a monomial is the sum of the exponents of the variables that appear in it.

We have the following polynomial:

\(3x^2y + 4xy + 1 - 5x^4y - 6y\)

Degree of the first monomial: 2+1=3

Degree of the next monomial: 1+1=2

Degree of the next monomial: 0

Degree of the next monomial: 4+1=5

Degree of the next monomial: 1

Thus, the degree of the given polynomial is 5

The principal sum is Rs. 1640 if the difference in simple interest between 3 years and 4 years is Rs. 82 at a rate of 5% per annum.

Let x be the principal sum. According to the problem, the difference in simple interest between 3 years and 4 years is Rs. 82. This means that the interest earned in the fourth year is Rs. 82 more than the interest earned in the third year.

Using the formula for simple interest, we can calculate the interest earned in each year:

Simple interest for 3 years = (x * 5% * 3) = 0.15x

Simple interest for 4 years = (x * 5% * 4) = 0.2x

The difference between the two is:

0.2x - 0.15x = 0.05x

We are given that this difference is equal to Rs. 82, so:

0.05x = 82

Solving for x, we get:

x = 82 / 0.05 = 1640

Therefore, the principal sum is Rs. 1640.

Learn more about the simple interest here: brainly.com/question/25845758

#SPJ4

We have the next formula

where x us the number of years, in this case x= 4

rounded to the nearest dollar is $394 is the amount in the account after 4 years.

Answer:

B

Step-by-step explanation:

Distributive property: a*(b + c)= (a*b) + (a*c)

\(\frac{3}{4}*(\frac{1}{2}+\frac{-2}{5})=\frac{3}{4}*\frac{1}{2}+\frac{3}{4}*\frac{-2}{5}\\\\=\frac{3}{8}+\frac{-6}{20}\\\\=\frac{3*5}{8*5}+\frac{-6*2}{20*2}\\\\=\frac{15}{20}+\frac{-12}{40}\\\\=\frac{15-12}{40}\\\\=\frac{3}{40}\)

Answer:

The answer is D

Step-by-step explanation:

If and Then are italicized

Answer:

Below

Step-by-step explanation:

2x+y=4

-2x+2y=5      If you add these two equations, 'x' will be 'eliminated'

3y = 9      then y = 3         2x + y =4   shows x = 1/2

The cost of the other 2 panes of glass is $5.70. If this is wrong, I am sorry :( Have a great day!

The sixth term of the binomial expansion (2x² -3y)⁸ as required in the task content is; -108,864x⁶y⁵.

Binomials refers to a polynomial with two terms.

It follows from the task content that the sixth term of the given binomial expansion is to be determined.

Since the binomial expansion is; (2x² -3y)⁸, it follows that there would be 8 terms.

The sixth term is therefore such that; the coefficient is; ⁸C⁵ = 56.

Therefore, the sixth term is; 56•(2x²)³•(-3y)⁵

= -108,864x⁶y⁵.

Read more on binomial expansion;

https://brainly.com/question/25086608

#SPJ1

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

<95141404393>

The capacity of thumb drive disc is 4 gigabytes and the capacity of compact disc is 2 gigabytes.

Let thumb drive = (x)

Let the capacity of 1 compact disk = (y).

Therefore, the appropriate equation will be:

4x + y = 18

4x + 3y = 22

Subtract the equations

2y = 4

y = 4/2

y = 2

The capacity of compact disc is 2 gigabytes.

Since 4x + y = 18

4x + 2 = 18

4x = 18 - 2

4x = 16

x = 16/4

x = 4

The capacity of thumb drive disc is 4 gigabytes.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

The solution is X =13.66.

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have,

given that,

(X-8)^2-7=25

(X-8)^2= 25+7

(X-8)^2=32

by, thaking sq.root both side we get,

(X-8)= √32

X= 5.66+8

X =13.66

Hence, The solution is X =13.66.

To learn more on square root click:

brainly.com/question/29286039

#SPJ1

Answer:

sin A = 3/5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side/ hypotenuse

sin A = 3/5

Answer:

A. sin

Step-by-step explanation:

Hi there!

\(\sin\theta=\displaystyle\frac{opposite}{hypotenuse}\)

\(\cos\theta=\displaystyle\frac{adjacent}{hypotenuse}\)

\(\tan\theta=\displaystyle\frac{opposite}{adjacent}\)

Given the angle A, the opposite side would measure 3 units, the adjacent side would measure 4 units and the hypotenuse would measure 5 units.

If the ratio is \(\displaystyle\frac{3}{5}\), it means it is a ratio between the opposite side and the hypotenuse. Therefore, it is using the sine ratio.

\(\sin A=\displaystyle\frac{3}{5}\)

I hope this helps!

The account balance in seven years will be $9,382.32.

Balance in math is the idea of equal parts on either side of a given equation. The concept of balance is used in algebraic equations and inequalities where the two sides of the equation must be equal in order for the equation to be true. Balance is an important concept to learn in math, as it is used to solve many problems. Balance can also be used in geometry to understand symmetry and shapes, as well as in calculus to understand derivatives and integrals. Balance is a fundamental concept in math that can be used in a variety of ways.

This can be calculated by multiplying the initial deposit of $850 by (1 + 0.029/12)^84, which is equal to 9,382.3198.

After rounding to the nearest hundredths place, the answer is $9,382.32.

To know more about balance click-
https://brainly.com/question/2261596
#SPJ1

Answer:

$1,041.06

Step-by-step explanation:

Got it right.

To solve the given differential equation xy' = yxe^(6y/x) using the change of variable v = y/x, we can transform the equation into a separable form.

We start by differentiating both sides of the change of variable v = y/x with respect to x to obtain dv/dx = (y'x - y)/x^2. Substituting y = vx into the given differential equation, we have x(dy/dx) = vxe^(6vx/x). Simplifying the equation yields v + x(dv/dx) = vxe^(6v). Rearranging the terms, we have x(dv/dx) = v(xe^(6v) - 1). This equation can be separated into variables by dividing both sides by v(xe^(6v) - 1). We obtain (1/v)dv = (1/x)(xe^(6v) - 1)dx.

Integrating both sides of the equation gives ∫(1/v)dv = ∫(1/x)(xe^(6v) - 1)dx. Integrating the left side yields ln|v| = ∫(1/x)(xe^(6v) - 1)dx. On the right side, we can simplify the integral by distributing and canceling terms, resulting in ln|v| = ∫(e^(6v) - 1)dx. Evaluating the integral, we have ln|v| = xe^(6v) - x + C, where C is the constant of integration.

Finally, we substitute v = y/x back into the equation. We get ln|y/x| = xe^(6(y/x)) - x + C, which can be further simplified as ln|y| - ln|x| = xe^(6(y/x)) - x + C. Rearranging the terms, we arrive at ln|y| = xe^(6(y/x)) - x + C + ln|x|. The final solution is given by ln|y| = xe^(6(y/x)) + ln|x| + C.

Learn more about differential equation here: brainly.com/question/25731911

#SPJ11

Yes, two samples can have the same range but different means. The range of a dataset is a measure of the spread or dispersion and is determined by the difference between the maximum and minimum values. The mean, on the other hand, represents the average value of the dataset.

To illustrate this concept, let's consider two different samples:

Sample 1: 1, 5, 6, 9, 10

Sample 2: 2, 4, 7, 8, 10

Both samples have a range of 9 (10 - 1).

However, the means of the samples are different. The mean of Sample 1 is

(1 + 5 + 6 + 9 + 10) / 5 = 6.2,

while the mean of Sample 2 is

(2 + 4 + 7 + 8 + 10) / 5 = 6.2.

Despite having the same range, the means differ between the two samples.

The range only considers the extreme values of the dataset, whereas the mean takes into account all values and provides an average measure. It is possible for the individual values within the samples to be distributed differently, resulting in different means, even if the range remains the same.

Therefore, the range and the mean are distinct measures that capture different aspects of the dataset. While it is possible for two samples to have the same range, they can still have different means based on the specific values and their distribution within each sample.

To learn more about range

https://brainly.com/question/16444481

#SPJ11

The correct options for analyzing the study using the methods for conducting a hypothesis test regarding two independent proportions are:

B. n1p11−p1≥10 and n2p21−p2≥10

E. The samples are independent.

Explanation:

A. The assumption of normal distribution is not required for conducting a hypothesis test regarding two independent proportions. Therefore, option A is incorrect.

C. The sample size being less than 5% of the population size for each sample is not a requirement for analyzing the study using the methods for conducting a hypothesis test regarding two independent proportions. Therefore, option C is incorrect.

D. The sample size being more than 5% of the population size for each sample is also not a requirement for analyzing the study using the methods for conducting a hypothesis test regarding two independent proportions. Therefore, option D is incorrect.

E. The independence of the samples is a crucial assumption for conducting a hypothesis test regarding two independent proportions. If the samples are not independent, then different methods need to be used. Therefore, option E is correct.

F. The samples being dependent is not consistent with the assumption for conducting a hypothesis test regarding two independent proportions. If the samples are dependent, different methods need to be used. Therefore, option F is incorrect.

The correct options are B and E.

To know more about hypothesis visit-

brainly.com/question/30885920

#SPJ11

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

For more information on actual weight visit: brainly.com/question/31170036

#SPJ11

The linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

The given equation is x² + 2x* + 2x² - 12x + 10 = 0.

It needs to be linearized around its equilibrium position.

Linearizing the given equation around its equilibrium position x0, we have;

f(x) = f(x0) + f'(x0)(x - x0)

Where f(x) = x² + 2x* + 2x² - 12x + 10

The equilibrium position is the point where f(x) = 0.

Hence, f(x0) = 0.

Thus, x² + 2x* + 2x² - 12x + 10 = 0⇒ 3x² - 6x = -10⇒ x² - 2x + (2.33) = 0(x-1)² = 0.77x - 0.77 or

x = 1 + (0.77)/(2) or x = 1.39

Hence, the equilibrium position x0 = 1.39.

Substitute x0 = 1.39 in the equation and simplify to get f'(x0):

f(x) = x² + 2x* + 2x² - 12x + 10

f(x) = 3.84 - 8.34 + 10

f'(x0) = f'(1.39) = -4.8

Therefore, the linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

To more about linearized equation, click here

https://brainly.com/question/32634451

#SPJ11

Answer:

Step-by-step explanation:

The lateral surface area is:

\(\\ \tt\longmapsto SA=2\pi rh[[/te]

\(\\ \tt\longmapsto SA=2\times 22}{7}\times (2.5)(9.25)\)

\(\\ \tt\longmapsto SA=145.23in^2\)

Answer: A teapot.

Step-by-step explanation:

Answer:

She is wrong. She needs 140 square feet.

Explanation:

(8×10)+(4×15) = 140

Answer:

She payed $29.60

Step-by-step explanation:

Expression: 12.36•2+1.98/2+3.49+.40

To solve this expression, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). However, in this expression, there are no parentheses or exponents, so we can start by performing the multiplication and division, and then the addition:

12.36•2 + 1.98/2 + 3.49

= 24.72 + 0.99 + 3.49+.40 (performing multiplication and division)

= 29.6 (adding the results)Therefore, the final result of the expression 12.36•2+1.98/2+3.49+.40 is 29.6.

Answer: $30

Step-by-step explanation:

2 packages of Chicken = $12.36 x 2 = $24.72

1/2 pound of broccoli = 1/2 x $1.98 = $0.99

1 Gallon of milk = 1 x $3.49 = $3.49

Add all of these together along with the extra $0.80

$24.72 + $0.99 + $3.49 + $0.80 = $30

Here you go!

Answer:

Step-by-step explanation:

If S is the midpoint of R and S and the coordinate R(-9, 4) and S(2, -1), we are to find T.

Usimg the midpoint formula;

\(M(X, Y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\ where; X = \frac{x_1+x_2}{2}\\Y = \frac{y_1+y_2}{2}\)

Given \(x_1 = -9, y_1 = 4, X = s \ and \ Y = -1\), to get the other coordinate T (x2, y2), we will use the formula above as shown;

\(X = \frac{x_1+x_2}{2}\\2 = \frac{-9+x_2}{2}\\cross \ multiply\\2*2 = -9+x_2\\4 = -9+x_2\\x_2 = 4+9\\ x_2 = 13\)

Similarly to get y2;

Y = y1+y2/6

-1 = 4+y2/2

cross multiply

-1*2 = 4+y2

-2 = 4+y2

y2 = -2-4

y2 = -6

Hence the coordinate T is (13, -6)