If answer is correct I will mark as brainliest
The second step in the process for factoring the trinomial x^2-3x-40 is to:

A. list all the factors of 3

B. list all the factors of 40

C. find the sum of the factors of 40

D. find the sum of the factors of 3​

Answer:

270m^2

Step-by-step explanation:

30m*18m/2 = 270m^2

Answer:

270

Step-by-step explanation:

Answer:

Explanation:

a) Here, we want to use the vertical line test to check if y is a function of x

To use the test, we draw a vertical line through any point on the graph. If the vertical line touches two points on the curve, then y is not a function of x

If we draw a vertical line as described, we would see that it touches two points on the curve which indicates that y is not a function of x

b) To solve for y, we proceed with the following steps:

It is given that the radius of the circle s 4 centimeters.

The formula for area of the circle is given by:

Substitute pi=3 and r=4 in the equation to get:

Hence the area of the circle is 48 square centimeter.

The equation of plane is x - 3y - 4z = 27.

a plane produced by the application of vectors perpendicular to a normal. The implication of this is that, given a vector a, b, c, we may deduce that all planes perpendicular to it have the form ax+by+cz=d and that any surface with this form is a plane perpendicular to a, b, c.

The equation for a plane perpendicular to a given line with direction ratios a, b, and c> and passing through a point is a(x-x1) + b(y-y1) + c(z-z1) = 0. (x1, y1, z1).

The equation of the plane traveling through the points x, y, and z on a plane perpendicular to the line whose parametric equation is provided

Equation of a plane through the point (-4,-3,8) is

a(x - 4) + b(y - 3) + c(z + 8) = 0

Since it is perpendicular to the line :

x = -4+t, y=-3-3t, z= -4t,

t = x + 4 = -y - 3 / 3 = -z/4

therefore coefficients a, b, c must be proportional to 1, - 3 & (-4) respectively.

Therefore, putting the values of a, b & c in eq.(1), we get the required equation of the plane as ;

λ(x - 4) -3 λ(y - 3) - 4λ(z + 8) = 0 (λ is a constant)

⇒ x - 4 - 3y + 9 -4z - 32 = 0

⇒ x - 3y - 4z = 27

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Answer:

a(A) = 0

Step-by-step explanation:

Given,

The selling price of the sofa is $1344,

The marked price of the sofa is $1920.

Required

The discount and discount percent.

The discount is calculated as,

The discount % is calculated as,

Hence, the discount percentage is 30%.

The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.

Now, WE get;

the probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 1 - P (snowfall)

P (no snowfall) = 1 - 0.230

P (no snowfall) = 0.770

Thus, The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

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In a case whereby the metal piece has four ridges of equal size on the top. The width of the piece is 3cm the volume of the work is \(450cm^3\)

Based on the provided fiqure, we will need to find te volume of the rectangle, then substract from th volume of the four triangular prism

The volume of the rectangle can be epresed as ;

2*3*10 = \(600cm^3\)

The volume of the four triangular prism can be expressed as

20/4 = 5cm          10-5= 5cm

\(1/2 * 5 * 5*3*4 = 150cm^3\)

\(600- 150 =450 cm^3\)

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The real-world problem involving perimeter is that the perimeter of a rectangle of length 18 units and width 15 units is 66 units

From the question, we have the following parameters that can be used in our computation:

2 x 18 + 2 x 15 = 66

The perimeter of a rectangle can be calculated using

Perimeter = 2 x Length + 2 x Width

Using the above as a guide, we have the following:

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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The simplified expression is \(-4x^2 + 3x + 1\), which is a quadratic polynomial. Option D.

To simplify the expression \((8x^2 + 3x) - (12x^2 - 1)\), we can distribute the negative sign to each term within the parentheses:

\(8x^2 + 3x - 12x^2 + 1\)

Next, we can combine like terms by adding or subtracting coefficients of similar powers of x:

\((8x^2 - 12x^2) + 3x + 1\)

Simplifying further, we have:

\(-4x^2 + 3x + 1\)

The resulting polynomial \(-4x^2 + 3x + 1\) is a quadratic polynomial since it has a highest power of x^2 (the exponent of x is 2), which is\(-4x^2.\)Quadratic polynomials are polynomials of degree 2 and can be represented by a parabola when graphed.

In summary, the simplified expression \((8x^2 + 3x) - (12x^2 - 1)\) simplifies to \(-4x^2 + 3x + 1\) , which is a quadratic polynomial. So Option D is correct

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Note the complete question is

The statement that completes the blank is (c) the null hypothesis is true.

In sampling techniques, the expected count of a variable is dependent on the null hypothesis.

This means that, if the null hypothesis is true, then the expected count is what is expected to be seen in the sample.

This in other words, means that the complete statement is:

The expected count of females who are not pierced is what we would expect to see in the sample if the null hypothesis is true.

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The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

Step-by-step explanation:

3/5x+30=150

We move all terms to the left:

3/5x+30-(150)=0

Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R

We add all the numbers together, and all the variables

3/5x-120=0

We multiply all the terms by the denominator

-120*5x+3=0

Wy multiply elements

-600x+3=0

We move all terms containing x to the left, all other terms to the right

-600x=-3

x=-3/-600

x=1/200

Answer:

1. Point estimate Md = 2

2. The 90% confidence interval for the difference between means is (1.01, 2.99).

3. The 95% confidence interval for the difference between means is (0.82, 3.18).

Step-by-step explanation:

a) The point estimate of the difference between the two population means is the difference between sample means:  

\(M_d=M_1-M_2=13.6-11.6=2\)

2. We have to calculate a 90% confidence interval for the difference between means.

The sample 1, of size n1=50 has a mean of 13.6 and a standard deviation of 2.2.

The sample 2, of size n2=35 has a mean of 11.6 and a standard deviation of 3.

The estimated standard error of the difference between means is computed using the formula:

\(s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{2.2^2}{50}+\dfrac{3^2}{35}}\\\\\\s_{M_d}=\sqrt{0.097+0.257}=\sqrt{0.354}=0.5949\)

The degrees of freedom for this confidence interval are:

\(df=n_1+n_2-2=50+35-2=83\)

The critical t-value for a 90% confidence interval is t=1.663.

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_{M_d}=1.663 \cdot 0.5949=0.99\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M_d-t \cdot s_{M_d} = 2-0.99=1.01\\\\UL=M_d+t \cdot s_{M_d} = 2+0.99=2.99\)

The 90% confidence interval for the difference between means is (1.01, 2.99).

2. We have to calculate a 95% confidence interval for the difference between means.

The critical t-value for a 95% confidence interval and 83 degrees of freedom is t=1.989.

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_{M_d}=1.989 \cdot 0.5949=1.18\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M_d-t \cdot s_{M_d} = 2-1.18=0.82\\\\UL=M_d+t \cdot s_{M_d} = 2+1.18=3.18\)

The 95% confidence interval for the difference between means is (0.82, 3.18).

Answer:

Step-by-step explanation:

Answer:

We conclude that not more than 500 gallons of wastewater per hour, on average, is discharged into a neighboring lake.

Step-by-step explanation:

We are given that an industrial plant can discharge not more than 500 gallons of wastewater per hour, on average, into a neighboring lake.

Four one-hour periods are selected randomly over a period of one week. The following are observed:

1384, 683, 1534, 405

Let \(\mu\) = population average gallons of wastewater discharged per hour

So, Null Hypothesis, \(H_0\) : \(\mu \leq\) 500 gallons      {means that not more than 500 gallons of wastewater per hour, on the average, is discharged into a neighboring lake}

Alternate Hypothesis, \(H_A\) : \(\mu\) > 500 gallons     {means that more than 500 gallons of wastewater per hour, on the average, is discharged into a neighboring lake}

The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;

                                T.S.  =  \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\)  ~ \(t_n_-_1\)

where, \(\bar X\) = sample mean = \(\frac{\sum X}{n}\) = 1001.5 gallons

             s = sample standard deviation = \(\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }\) = 543.79

             n = sample of periods = 4

So, the test statistics =  \(\frac{1001.5-500}{\frac{543.79}{\sqrt{4} } }\)  ~ \(t_3\)

                                    =  1.844

The value of t-test statistics is 1.844.

Since in the question we are not given with the level of significance so we assume it to be 5%. Now, at 0.05 level of significance, the t table gives a critical value of 2.353 at 3 degrees of freedom for the right-tailed test.

Since the value of our test statistics is less than the critical value of z as 1.844 < 2.353, so we have insufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that not more than 500 gallons of wastewater per hour, on average, is discharged into a neighboring lake.

Answer:

It is not a integer, it is a rational number

Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!

Step-by-step explanation:

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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The value of \(log_35 \times log_{25}9\) is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(log_35 \times log_{25}9\)

\(log_ab = \frac{logb}{loga}\)

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

\(logm^n = n~logm\)

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

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According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Circumference = 2 x radius x Pi

= 2 x 3 x 3.14

= 6 x 3.14

= 18.84 feet

Area = pi x r ^2

= 3.14 x 3^2

= 3.14 x 9

= 28.26 square feet

The circumference of the circle will be C= 18.84 ft and the area of the circle will be \(A=28.27 ft^2\)

The area of the circle is defined as the quantity of the space covered by the circle in a two-dimensional plane.

It is given in the question ;

Radius of the circle = 3 ft.

The area of the circle is given by the formula;

\(A=\pi r^2\)

\(A=\pi \times 3\times 3\)

\(A= 28.27\ Ft ^2\)

Circumference of the circle is given by

\(C=2\pi r\)

\(C=2\pi\times 3\)

\(C=18.84\ Ft\)

Hence the circumference of the circle will be C= 18.84 ft and the area of the circle will be \(A=28.27 ft^2\)

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Answer:

The answer is approximately 1,031.

Step-by-step explanation:

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer:

The equation does not have a variable

Step-by-step explanation:

6=?-8

Answer: The equation does not have a variable to solve for x

Hope this helps.

Answer:

6÷8=0.75

Step-by-step explanation:

hheks ccu h ccu se bfi s no San kfi rn ko is GB bbn 9 guy dndvidbtdjd

Answer:

xe^{xsinx}

Step-by-step explanation:\(xe^{xsinx}\)