Need help, please would be helpful

Answer:

5x²

Step-by-step explanation:

the greatest number each term can be multiplied by

Answer:

5x^2

Step-by-step explanation:

Answer:

g(x)= (2x - 1) • (x + 3) • (x - 5)

Step-by-step explanation:

2x³ + 5x² - 28x - 15 as the product of linear factors is (x - 3)(2x + 1)(x + 5)

Polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.

Types of polynomials are quadratic, linear, cubic and so on.

Since x - 3 is a factor of 2x³ + 5x² - 28x - 15, hence 2x³ + 5x² - 28x - 15 divided by x - 3 gives 2x² + 11x + 5:

2x³ + 5x² - 28x - 15 = (x - 3)(2x² + 11x + 5) = (x - 3)(2x + 1)(x + 5)

Hence, 2x³ + 5x² - 28x - 15 as the product of linear factors is (x - 3)(2x + 1)(x + 5)

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(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer: the answer is 4 cups of walnuts

Answer:

23 degrees

Step-by-step explanation:

Find the diagram attached

The sum of angle on the straight line is 180°

103+3x+15+x+10 = 180

128+4x =180

4x = 180-128

4x = 52

x = 52/4

x = 13

The measure of the angle of the intersection between Derby Drive and Rosemont is x+10

= 13+10

= 23 degrees

Hence the measure of the angle is 23 degrees

The perimeter is the sum of the lengths of the sides of a closed plane figure.

The total distance from the outside of the closed figure is called the perimeter. Sum of all sides of a closed figure. The formula is: perimeter = sum of all sides

The units for the perimeter of a polygon remain the same as the units for each side. If the sides have different units, convert them to the same units and then find the perimeter.

A regular polygon has all equal sides. So if the polygon has 'n' sides, add the same length 'n' times. Perimeter of regular polygon = (length of one side) × number of sides

Example: Perimeter of regular hexagon is 6 × length of side

Total distance around polygon is. It can be found by summing all the sides of the polygon. Rectangle perimeter = 2( length + width)

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The bird flies at an angle of 60° degrees from the water, and its height from the ground when it drops the fish is 86.6 yards.

The bird caught the fish at point, flew to which is 100 yds away, and dropped the fish at C, which is horizontally 50 yards from A.

Now,
let the angle be x,
cosx = 50 / 100
x = cos⁻¹(1/2)
x = 60°

height of the bird is given as,
sin60 = height / 100
√3 / 2 = height / 100
height = 50√3 = 86.6

Thus, the bird flies at an angle of 60 °degrees from the water, and its height from the ground when it drops the fish is 86.6 yards.

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The calculated value of x in the circle is 12.3

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

The circle

∠QRS = 7x - 21

QS = 130

Using the theorem of intersecting chords, we have the following equation

∠QRS = 1/2 * QS

Substitute the known values in the above equation, so, we have the following representation

7x - 21 = 1/2 * 130

Evaluate

7x - 21 = 65

Evaluate the like terms

7x = 86

Divide by 7

x = 12.3

Hence, the value of x in the circle is 12.3

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For the given system of equations 3x + 2y = 19 and x + y = 8 , the value of y is equal to 5.

As given in the question,

Given system of equations are :

3x + 2y = 19   ___(1)

x + y = 8        ___(2)

Simplify the given system of equations to get the value of y we have,

Multiply equation (2) by 3 and eliminate variable x by subtracting (1) from it and get the value of y ,

3x + 3y = 24

3x + 2y = 19

0x + 1y = 5

This implies y is equal to 5.

Therefore, for the given system of equations 3x + 2y = 19 and x + y = 8 , the value of y is equal to 5.

The complete question is :

Simplify the given system of equations to find the value of y:

3x + 2y = 19 and x + y = 8.

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on solving the provided the question, we got know that - width = 6 in, length = 16 in, and height = 12 in

Decomposing or decomposing an entity (number, matrix, polynomial, etc.) into another entity or product of coefficients, the multiplication of which yields the original number, matrix, etc. is known in mathematics as factorization or factorization .

A rectangular prism with the dimensions l, w, and h has the following volume:

\(V = l * w * h\)

\(V = 1152 in^3\\\)

\(l = 2w + 4\\h = 18 - w\)

\(So,\\ V = l * w * h\\ \\ 1152 = (2w + 4) * w * (18 - w)1152 = (2w^2+ 4w) * (18 - w)\\ 1152 = 36w^2 + 72w - 2 w^3 - 4w^2\\ -2w^3 + 36w^2 - 4w^2 + 72w = 1152\\ -2w^3 + 32w^2 + 72w = 1152\\ -2w^3+ 32w^2 + 72w - 1152 = 0\\ -w^3+ 16w^2 + 36w - 576 = 0\\ w^3 - 16w^2 - 36w + 576 = 0\\ (w^3 - 36w) - (16w^2 - 576) = 0\\\)

\(Factor:\\ w * w^2 - w * 36 - (16 * w^2 - 16 * 36) = 0\\ w(w^2 - 36) - 16(w^2 - 36) = 0\\(w - 16)(w^2 - 36) = 0\\(w - 16)(w^2 - 6^2) = 0\\(w - 16)(w - 6)(w + 6) = 0\\\)

So,

w - 16 = 0, or w - 6 = 0, or w + 6 = 0.

w = 16, or w = 6, or w = -6.

Since width cannot be zero, w = –6.

l = 2 * 16 + 4 = 32 + 4 = 36 and h = 18 - 16 = 2 if w = 16

However, because the width must be smaller than the height (h > w), w 16.

l = 2 * 6 + 4 = 12 + 4 = 16 and h = 18 - 6 = 12 if w = 6, respectively.

Consequently, w = 6 in, l = 16 in, and h = 12 in

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Answer:

1. Ella can scale it up by 3 or by using the ratio 3:1, the smaller bed is exactly 1/3 of the bigger bed.

2A. No I am way taller than the 75".

2B. Ella can scale the bed up by 7:1 so that it can fit me.

Step-by-step explanation:

The money is Noah wants to share  with people if each person still gets the same amount is 4.

The algebraic approach to solving simultaneous linear equations is known as substitution method.

Let the total amount Noah have be'y'.

The initial amount shared by Noah among 10 people be 'x'.

Then,

y = 10x

But,

Amount shared is decreased by 20, ans sharing with 5 people.

Then,

y - 20 = 5x

Put value of y.

10x = 5x + 20

On solving;

x = 20/5

x = 4

Thus, money is Noah wants to share  with people if each person still gets the same amount is 4.

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The Central Limit Theorem establishes that the sampling distribution of the sample means of size n can be approximated to a normal distribution with mean and standard deviation s = /n for a normally distributed random variable X, with mean and standard deviation.

The Central Limit Theorem can also be used with skewed variables if n is at least 30.

The sampling distribution of the sample percentage for a proportion p in a sample of size n will be about normal, with mean and standard deviation s = p(1-p)/n.

The mean is the difference between the means when two normal variables are subtracted, and the standard deviation is the square root of the sum of the variances.

Average gas mileage (A): Mean 36, SD 6, sample size 50:

So, μA = 36, sA = 6/√50 = 0.8485

Gas mileage B: Mean 42, SD 8, and sample size of 50:

So, μB = 42, sB = 8/√50 = 1.1314

Arrangement of the difference:

Mean: 36 - 42 = -6 where A - B

Standard deviation: 1.4142

Locate the point estimate.

This is the mean difference, which is -6 mpg.

To determine our level, we must deduct 1 from the confidence interval and divide the result by two. So: 1 - 0.95/2 = 0.025

Now that z has a pvalue of, we must locate it in the Ztable.

Z = 1.96 since it has a pvalue of.

Identify the margin of error M as follows.

M = zs = 1.96 * 1.4142 = 2.77

2.77 mpg is the error margin.

The sample mean plus M determines the interval's upper end. Therefore, it is -6 + 2.77 = -3.23 mpg.

The difference between the population mean gas mileage for engines A and B and how to interpret the data, in mpg, have a 95% confidence interval of (-8.77, -3.23) means, whereas the standard deviation is the sum of the variances' square roots.

Average gas mileage (A): Mean 36, SD 6, sample size 50:

So, μA = 36, sA = 6/√50 = 0.8485

Gas mileage B: Mean 42, SD 8, and sample size of 50:

So, μB = 42, sB = 8/√50 = 1.1314

Arrangement of the difference:

Mean: 36 - 42 = -6 where A - B

Standard deviation: 1.4142

Locate the point estimate.

This is the mean difference, which is -6 mpg.

B. Determine the error margin.

By subtracting 1 from the confidence interval and dividing the result by 2, we can determine our level. So: 1 - 0.95/2 = 0.025

We must now locate z in the Ztable because it has a pvalue of

Z = 1.96 since that has a p value of.

Find the margin of error now. such that M

M = zs = 1.96 * 1.4142 = 2.77

The error margin is 2.77 mpg.

C. Build the 95% confidence interval for the difference between the population-mean fuel economy for engines A and B, then analyze the findings (5 pts)

The sample mean multiplied by M determines the interval's upper end. Consequently, it is -6 + 2.77 = -3.23 mpg.

The 95% confidence interval for the difference between population mean gas mileage for engines A and B and how to interpret the data, in mpg, is (-8.77, -3.23).

You should calculate the population standard deviation when the dataset you’re working with represents an entire population, i.e. every value that you’re interested in. The formula to calculate a population standard deviation, denoted as σ.

A % confidence interval (CI) for the population mean is given by Example 6.2 A meat inspector has randomly measured 30 packs of acclaimed 95% lean beef. The sample resulted in the mean 96.2% with the sample standard deviation of 0.8%.

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Total number of people 400 started at the beginning. To calculate the percentage, divide the value by the total value and multiply the result by 100.

Therefore,

Percentage of students dropped = 3%

Number of people dropped this year= 12

To find Total students = (12/3) * 100 = 400

That is to find how many people dropped is = 400 *(3/100) = 12

so we  can rearrange the  formula .

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Answer:

±5

Step-by-step explanation:

The double bar around n is absolute value. This means that any number plugged in will turn positive.

Therefore, there are only 2 numbers that can be inputted: -5 and 5.

|-5| = 5

|5| = 5

The number 8.75 is equivalent to the fraction 35/4 in its simplest form.

To convert 8.75 to a fraction, we can write it as a fraction with a denominator of 1. We then multiply both the numerator and denominator by 100 to get rid of the decimal point. This gives us:

8.75 = 8.75/1

= 875/100

Next, we want to get rid of the decimal point, which we can do by multiplying both the numerator and denominator by a power of 10 that moves the decimal point of the numerator to the right until it disappears. In this case, we can multiply both the numerator and denominator by 100, which gives us:

8.75/1 x 100/100 = 875/100

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 25. This gives us:

875/100 = (875/25) / (100/25) = 35/4

Therefore, we conclude that 8.75 is equivalent to the fraction 35/4 in its simplest form.

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Answer:

length is 19 width is 15

Step-by-step explanation:

The area of the classroom floor in the scale drawing is 247 square inches.

The area of Rectangle is length times of width.

We need to find the scale of the drawing, which is the ratio of the length in the drawing to the actual length:

19 inches / 38 feet = 0.5 inches/foot

Now we can use the scale to find the dimensions of the classroom floor in the scale drawing:

Length in scale drawing = Actual length ×  Scale

Width in scale drawing = Actual width ×  Scale

Length in scale drawing = 38 feet ×  0.5 inches/foot = 19 inches

Width in scale drawing = 26 feet ×  0.5 inches/foot = 13 inches

So the dimensions of the classroom floor in the scale drawing are 19 inches by 13 inches.

To find the area in square inches, we can multiply the length by the width:

Area in scale drawing = Length in scale drawing × Width in scale drawing

= 19 inches× 13 inches

= 247 square inches

Therefore, the area of the classroom floor in the scale drawing is 247 square inches.

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To create a 90% confidence interval with a margin of error of 4%, the researcher should survey at least 424 students.

To calculate the sample size needed for a 90% confidence interval with a margin of error of 4% (0.04) when estimating the true proportion of students who have a job in addition to attending school, without a preliminary estimate, follow these steps:

1. Identify the desired confidence level (90%) and find the corresponding z-score (z-value). For a 90% confidence level, the z-score is 1.645.

2. Determine the margin of error, which is given as 4% or 0.04.

3. Since no preliminary estimate is available, use 0.5 (50%) as the proportion. This is the most conservative estimate and will result in the largest required sample size.

4. Use the formula for calculating the sample size (n) for proportions:

  n = (Z^2 * P * (1-P)) / E^2

  Where:
  - n is the required sample size
  - Z is the z-score (1.645 for a 90% confidence level)
  - P is the estimated proportion (0.5)
  - E is the margin of error (0.04)

5. Plug the values into the formula:

  n = (1.645^2 * 0.5 * (1-0.5)) / 0.04^2

6. Calculate the result:

  n ≈ 423.06

Since you cannot have a fraction of a student, round up the result to the nearest whole number:

  n = 424

Therefore, to create a 90% confidence interval with a margin of error of 4%, the researcher should survey at least 424 students.

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Answer:

You must get a 89%

Step-by-step explanation:

81+89=170

170/2= 85%

Given the equation;

We start by moving all terms to the left side of the equation;

Now we re-write this using trig identities;

Note that;

Input this into the last equation and we'll have;

Simplify the parenthesis;

We now refine the last equation;

The equation now becomes;

We now represent tan x by letter a.

That means;

We shall apply the rule;

Therefore;

At this point the solutions are;

If we now substitute a = tan x back into the equation, we would have;

Where tan x = 0;

Where tan x = 1/4;

ANSWER:

The surface area of the total area of the faces of the given figure. The surface area of the figure is 900 square meters

The surface area of the total area of the faces of the given figure.

The given figure is made up of 3 rectangles and 2 triangles:

Surface area = area of 3 rectangles + area of 2 triangles

Surface area  = [2(17*10) + 16*10] + (16*15)
Surface area = 2(170+160) + 240
Surface area = 660 + 240
Surface area = 900 square meters

Hence the surface area of the figure is 900 square meters

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Answer:

2/5m - 1/5

Step-by-step explanation:

Given the equation :

2(1/5m - 2/5) + 3/5

First step:

Open the bracket by multiplying values in the bracket by 2

2/5m - 4/5 + 3/5

-4/5 + 3/5 = (-4 + 3) / 5 = - 1 / 5

Hence,

2/5m - 4/5 + 3/5 = 2/5m - 1/5

= 2/5m - 1/5

Answer:

I'll give you some clues in the solution. Please read them so you can do the rest faster.

Solution:

First thing you do is write the vertex. The vertex is basically the last number in the absolute value bars and the number outside of them (to the right of the bars). The vertex is the opposite of the last number in the absolute value brackets and if there is no number to the right, assume it is 0.

We start at (2,0).

The domain is 99% of the time all real numbers. Write that for domain.

The range is the y value where things start to increase (the y value of the vertex). The range is 0.

The type of function is absolute value function btw

The number of choices for all the possible passwords are 43,056,000

Given, we have to make a password which includes 4 characters and 4 even digits. And none of the characters or digits can be used more than once. So, For the first character we have 26 choices as we can use any character from the alphabet. For the 2nd character we get 25 choices as we cant choose the first character already twice. Similarly, for 3rd character we get 24 choices and for 4th character we get 23 choices.

Now for the digits, we can only use even digits 0,2,4,6,8 with no repetition allowed. Therefore, for first digit we can choose any digit so we get 5 choices. For the 2nd digit we get 4 choices. For the 3rd digit we get 3 choices. For the 4th digit we get 2 choices.

Noe, to find all the possible combinations , we just need to multiply all the choices :

⇒ 26 x 25 x 24 x 23 x 5 x 4 x 3 x 2

⇒ 43,056,000

Therefore, the total number of all the possible combination of passwords according to the given condition is 43,056,000.

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The interest rate in which the homeowner will qualify for if they raise their credit score to 40 points is 5.597%. The Option B is correct.

A credit score ranges from 300 to 850 and represents a consumer's creditworthiness. Credit scoring factors include repayment history, loan types, length of credit history, and an individual's total debt.

According to the given table, a credit score of 725 falls under the range of 670-739, which corresponds to a simple interest rate of 8.132%. If the homeowner raises their credit score by 40 points, their new score would be 765, which falls under the range of 740-799 in the table. This corresponds to a lower simple interest rate of 5.597%.

Therefore, if the homeowner raises their credit score by 40 points, they could qualify for a simple interest rate of 5.597% for their $3,500.00 loan.

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The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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The length of the third side of the actual patio is 15.75 feet.

In order to solve issues requiring proportional connections between the sides of two triangles, it is crucial to understand the idea of triangle similarity. If the matching sides and angles of two triangles are identical, then two triangles are said to be similar. When referring to similarities, the symbol is used.

Let us suppose the length of third side = x.

Given that, blueprint of a triangular patio has side lengths 3.5 in., 3.5 in., and 5.25 in.

Thus, the blueprint and the actual patio form two similar triangles.

The sides of the similar triangles are equal in ratio thus,

3.5/5.25 = 10.5/x

3.5x = 5.25 * 10.5

x = (5.25 * 10.5) / 3.5

x = 15.75

Hence, the length of the third side of the actual patio is 15.75 feet.

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Answer:

$17.60

Step-by-step explanation:

Jackie went to the store and bought 2 1/4 pounds of apples at $5 per pound

1 pounds = $5

2 1/4 pounds = x

x = 2 1/4 × $5

x = 9/4 × $5

x = $45/4

x = $11.25

9 pounds of pears at $2.35 per pound.

1 pound = $2.35

9 pounds = x

x = 9 × $2.35

x = $21.15

Total amount that she spent =

$11.25 + $21.15

= $32.40

If she paid with a $50 bill, how much change did she receive?

The change she received =

$50 - $32.40

= $17.60