A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1). Write a function in standard form that could represent this function.

The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.

To find the percent change or growth rate of a quantity between two different values, you can use the formula:

Percent change = ( new value - old value ) / old value x 100%

The new value would be the population of the village after 10 years which is 450 people.

The old value is the initial population of the village which is 400

The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %

= 12. 5 %

The growth rate for the village is therefore 12. 5 % every ten years.

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Answer:

3rd option

Step-by-step explanation:

One of our exponent rules tells us that \((\frac{x}{y} )^{z}\) =  \(\frac{x^{z} }{y^{z} }\). So, knowing that exponent rule, we know that it has to be the third option. But what if we didn't know that rule? Then how could we solve this?

We know that 3/2 = 1.5. Do some math and you can figure out that 1.5^3 is 3.375. If we were to evaluate expression number 3, we would get 27/8, which, if you were to further evaluate it, you would also get 3.375.

Let me know if you have any questions!

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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On solving the provided question, we can say that the linear function is  f(x) = -2x +3 and by the graph y = f(x) = -1

Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.

here,

the linear function is  f(x) = -2x +3

and by the graph y = f(x) = -2x +3 = -2(2) + 3 = -4+3 = -1

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Answer:

2 31/33

Step-by-step explanation:

this is a IMPROPER FRACTION once the absolute value of the top number or numerator [97] is greater than absolute value of numerator is greater than denominator[33] so the equivalent fraction is a MIXED NUMBER which is made up of a whole number [2] ans proper fraction [31/33]

Okay, here we have this:

We need to solve the following expression:

Finally we obtain that the result is -11.25.

Answer:

I live in Ireland and I take on additional maths as part of my course (extra maths). In my course we do a mix of pre calc and practical. Personally I find them both okay but I think practical math would get quite hard and boring if you dont like it. If u already find it boring, it's probably going to be harder to understand and like. I would recommend doing pre calc as u still do some equations but it's a good mix. it's totally up to u tho good luck! ♡

Answer:

D

Step-by-step explanation:

(x,y)

The x is horizontal line and the y is the vertical.

Answer:

d)

Step-by-step explanation:

the answer is d because in between the lines represents a number, and if you see how it skips a number you can know that in between the two numbers on the line, you can tell what the numbers are because it's basic human knowledge of how to count. and you can see that it says -3,-6

Answer:

X    |   y

---------------

-2   |   3

-1   |   0

0   |  -3

1   |  -6

The measure of the side length labelled x is 23.3 units.

The figure in the image is right triangle.

To find x, we use trigonometric ratio

Sine = Opposite / Hypotenuse

Hence;

sin( 42 ) = 15.6 / x

Solve for x

x = 15.6 /  sin( 42 )

x = 23.3

Therefore, the value of x is 23.3.

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The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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Answer:

29

Step-by-step explanation:

6 + 3 x 9 - 4

6 + 27 - 4

33 - 4

=29

The accurate statement about the graph is: Point D is a y-intercept of the graph.

Based on the given graph of y = -x + 1, the following statements about the graph are accurate:

Point A is a relative minimum of the graph:

False.

Point A is located at (-2, 3), and it is not the lowest point on the graph. Moving to the left or right of point A, the graph continues to decrease.

Point B is a turning point of the graph:

False.

Point B is not a turning point.

It is located at (-1, 2), and the graph does not change its direction or slope at this point.

Point C is a maximum of the graph:

False.

Point C is located at (2, -2), and it is not the highest point on the graph. Moving to the left or right of point C, the graph continues to increase.

Point D is a y-intercept of the graph:

True.

Point D is located at (0, 1), and it lies on the y-axis.

This point represents the y-intercept of the graph, where the value of x is zero.

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SOLUTION

Given the question in the question tab, the following are the solution steps to get the answer

Step 1: Write the given expression

Step 2: Solve the expression by substituting the values into the expression using PEMDAS

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Hence, the answer of the expression using PEMDAS is 42

The measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

From the given triangle ABC,

∠A+∠B+∠C=180° (Angle sum property of a triangle)

∠A+32°+85°=180°

∠A+117°=180°

∠A=180°-117°

∠A=63°

We know that, the formula for sine rule is sinA/a=sinB/b=sinC/c

Here, sin63°/a = sin32°/b = sin85°/42

sin63°/a = sin32°/b = 0.9961/42

sin32°/b = 0.9961/42 and sin63°/a = 0.9961/42

0.5299/b = 0.9961/42

0.9961b=22.2558

b=22.2558/0.9961

b=22.34 feet

sin63°/a = 0.9961/42

0.8910/a = 0.9961/42

0.9961a=37.422

a=37.422/0.9961

a=37.57 feet

Therefore, the measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

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After accounting for the exemptions, Amber's withholding tax is $1,748 for the year.

The withholding tax is the amount of tax that Amber owes.

This amount is calculated by the formula:

= Net pay x Income tax rate

Net pay = Gross pay - Exemptions

= 45,700 - 2,000

= $43,700

Withholding is:

= 43,700 x 4%

= $1,748

In conclusion, Amber's withholding for the year is $1,748.

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No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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A segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole .

Given :

given a segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole .

You are asked to construct P such that :

PB / AP = AP / AB

This ratio is the reciprocal of the Golden Ratio.

( AP )^2 = PB * AB

( AP )^2 = PB * ( AP + BP )

( AP )^2 = PB ( AP ) + ( BP )^2

Divide by PB^2 on both sides

ф^2 = ф + 1

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Answer:

d² - 24d + c = (d - 12)² - 144 + c

Answer:234.6

Step-by-step explanation:

i got it right on the test

The required length is 11 units for the given triangle.

The sine rule defines the side length ratios of triangles to their opposing angles. This proportion is true for all three sides and opposing angles.

a/sinA = b/sinB = c/sinC

The triangle is given in the question, as follows:

In ΔABC, ∠A=120°, ∠B=37°, and c = 5 units

Here, ∠C= 180° - 120° - 37° = 23.

We have to determine the length of a.

As per the sine rule, the required solution would be as:

a/sin∠A = c/sin∠C

Substitute the known values and we get

a/sin 120° = 5/sin 23°

a = (18/sin 1240°) × sin 23°

k ≈ 11

Thus, the length of c is 11 units.

Hence, the number that belongs in the green box is 11.

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The value of f(-5) when we solve the function f(x) is -5.

A function is a statement, tenet, or rule that creates a correlation between two variables. In mathematics, functions are used often and are required to build complicated connections.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The function can be solved as:

    \(f(x) = -(x+8)^{2} +4\)

           \(=-(-5+8)^{2}+4\)

           \(=-(3)^{2}+4\)

           \(=-9+4\)

           \(=-5\)

Hence, f(-5) = -5

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Answer  67+67=6886

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Answer:

Since there are 2 possibilities for each bat (hit or out), the amount of total possibilities is 2 * 2 * 2 = 8. There is only one possibility out of those eight that gives us three hits, therefore the probability is 1 / 8 or 0.125.