I need help with 36. And 37. Pleasee!

if the function is divided and we get the remainder of  zero then  it is said to be a factor of a function

According to the Remainder Theorem, by a factor x − an of that polynomial, then you will get a zero remainder. The point of the Factor Theorem is the turnaround of the Remainder Theorem: On the off chance that you synthetic-divide a polynomial by x = a and get a zero remainder, at that point not as it were is x = a, a zero of the polynomial(for the remainder theorem ) but x − a is additionally a factor of the polynomial according to of the Factor Theorem.

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Answer:

b 4x3 x6 =72 I think the answer is b.

Answer:

V = π(8^2)(31) = 6,232.9 m^3

Answer:

$37.5

Step-by-step explanation:

25% = 1/4

50/4 = 12.5

50 - 12.5 = 37.5

hope this helped (:

Answer:

37.5

Step-by-step explanation:

Convert the 25% to a decimal (0.25) and multiply by 50

Which is 12.5

Subtract 50 by 12.5

Answer is $37.5

You could also multiply 50 * .75

A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) \(\sum \ log(n)\)

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) \(\sum_{n=0}\) to infinity \(\sqrt{0.9^n}\)

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = \(\frac{a_{n+1}}{a_n}\)

r = \(\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }\)

=> r = \(\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}\)

=> r = \(\frac{\sqrt{0.9} }{1}\)

=> r = \(\sqrt{0.9}\)

=> a = \(\sqrt{0.9^0}\)

=> a = \(\sqrt{1}\)

=>  a= 1

by applying the formula having the value a =1 is

\(\frac{1}{1-\sqrt{0.9} }\)

rationalize the denominator by multiplying with \(1+\sqrt{0.9}\)

=> \(\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }\)

=> 19.4868

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Answer:

Step-by-step explanation:

3x = f

2x = e

x is how many batches you want to make.

The statements that are true are (a) b > 1, (c) The average rate of change from year 0 to year 5 is less than the average rate of change from year 10 to year 15. and (e) a > 0​

Exponential functions are those functions where the independent variable, x is in the exponent.

Given exponential function is,

f(t) = \(a . b^t\)

The exponential function can be written as,

f(t) = \(a(1+r)^t\), where r is the rate of increase or decrease.

So, b = 1+ r

It is given that the population is increasing, so rate is positive.

So b = 1 + r, is greater than 1.

Average rate of change of a function is the ratio change in function values to the change in t values.

Change in t is same as we are measuring over 5 years.

Since the function is increasing at a constant rate, the function values will also be outgoing a large increase as the time increases.

So the average rate of change from year 0 to year 5 is less than the average rate of change from year 10 to year 15.

a is the initial population of the deer when t = 0. This must be greater than 0.

Hence the options a, c and e are correct statements.

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Answer:

Add 5 to both sides.

Step-by-step explanation:

3.7 = x + (-5)

3.7 + 5 = x + ( -5) + 5

5 cancels on the right

8.7 = x

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3.7=x+(-5).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 3.7=x-5

Add 5 to both sides of an equation, we get

3.7+5=x-5+5

x=8.7

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

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If a significant result is yielded by a repeated-measures analysis of variance, post - hoc tests would be used to determine which levels of the independent variable significantly differ from each other.

What is the purpose of a post hoc test?

When an analysis of variance (ANOVA) F test indicates that there are significant differences between three or more group means, post hoc (Latin for "after this") tests are employed to identify the precise discrepancies.

When an experiment's findings show that the dependent variable has a substantial effect size You can infer it from this, right?

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The interval (461.7, 598.1) is estimating the parameter of expected lead content when traffic flow is 15, denoted as Lead Content|Traffic flow = 15. This interval represents the range of values where we can be 95% confident that the true population parameter lies, based on the sample data collected.

To calculate a 99% confidence interval for Lead Content|Traffic flow = 15, we would need to use the same sample data and formula as for the 95% confidence interval but using a higher level of significance. Assuming the underlying assumptions of normality, independence, and constant variance are met, a 99% confidence interval would be wider than the 95% interval. Therefore, we would expect the 99% confidence interval for Lead Content|Traffic flow = 15 to be (430.7, 629.1), which represents a larger range of values where we can be more confident that the true population parameter lies.

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A graph of the solution of the inequality is: graph F.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given inequality by making x the subject of formula as follows;

x - 5 < 14

By adding 5 to both sides of the inequality, we have the following:

x - 5 + 5 < 14 + 5

x < 19

Note: The line on a number line should be open when the inequality symbol is greater than (>) or less than (<).

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Answer:

23 dollars

Step-by-step explanation:

26 is the total with tax, so subtract the tax to get the lunch by itself

Answer:

it's 5.75

Step-by-step explanation:

first i subtracted 3$ from 26.00 and got 23.00 then i divide 23.00 by 4 and got 5.75 so that's what they payed

The required manager has 12 fifty-dollar bills as of the given condition.

Let's denote the number of twenty-dollar bills as "x" and the number of fifty-dollar bills as "y".

We know that the convention manager has a total of 48 bills, so:
x + y = 48

We also know that the total amount of money she has is $1320, which can be expressed as:
20x + 50y = 1320

To solve for "y", we can rearrange the first equation to get:
y = 48 - x

Then substitute this expression for "y" in the second equation:

20x + 50(48 - x) = 1320

Expanding the expression and simplifying:
20x + 2400 - 50x = 1320
-30x = -1080
x = 36

So the manager has 36 twenty-dollar bills. To find the number of fifty-dollar bills, we can use the first equation:

x + y = 48

36 + y = 48

y = 12

Therefore, the manager has 12 fifty-dollar bills.

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True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.

What is a performance comparison?

They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.

                 The measures are employed in productivity improvement projects to monitor changes in productivity over time.

Why is performance measurement important?

Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.

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Answer:

1170 miles in 18 hours.

Step-by-step explanation:

Answer:

1170

Step-by-step explanation:

260 ÷4 = 65

65×18=1170

The present value of the ordinary annuity is $810.69.

The present value of an ordinary annuity is given by the formula:

\(PV = PMT * [1 - (1 + r/n)^(-nt)] / r/n\)

Where

In this instance, the numbers are as follows:

PV =?

PMT = $1200

r = 2%/year = 0.02/2 = 0.01

n = 2 payments each year

t = 8 years.

Substituting these values into the formula, we get:

\(PV = $1200 * [1 - (1 + 0.01)^(-2*8)] / 0.01\)

\(PV = $1200 * [1 - (1.01)^(-16)] / 0.01\)

PV = $1200 * 0.675575

PV = $810.69

Therefore, the present value of the ordinary annuity is $810.69.

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Answer:

a = -16  b = 8 and c =24

Step-by-step explanation:

h = -16t^2 + 8t + 24

A quadratic function can be in the form

ax^2 + bx+c

Replace x with t

-16 is the coefficient of the squared term  8 is the coefficient of the linear term and 24 is the constant

a = -16  b = 8 and c =24

There are 1287 different ways Ms. Bell can create a 5-Member committee of seniors from her class.

Ms. Bell's mathematics class consists of 6 sophomores, 11 juniors, and 13 seniors. The task is to determine the number of different ways Ms. Bell can create a 5-member committee of seniors, with each senior having an equal chance of being selected.

To solve this problem, we can use combinations. The number of ways to select a committee of 5 seniors from a group of 13 can be calculated using the combination formula:

C(n, k) = n! / (k!(n - k)!)

Where n represents the total number of elements (seniors in this case), and k represents the number of elements to be selected (5 in this case). The exclamation mark denotes the factorial of a number.

Using the combination formula, the number of ways to select a 5-member committee from 13 seniors is:

C(13, 5) = 13! / (5!(13 - 5)!) = 13! / (5! * 8!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287

Therefore, there are 1287 different ways Ms. Bell can create a 5-member committee of seniors from her class.

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Center of mass: 0.065g/3 units below release point at t=300ms. and Center of mass velocity: gt - 0.2g/3 at t=300ms.

i) At t=300ms, the center of mass of the two stones is located 0.065g/3 units below the release point. This can be obtained by calculating the individual displacements of the stones using the equations d1 = (1/2)gt^2 and d2 = (1/2)g(t-0.1)^2. Then, using the formula for the center of mass displacement, d_com = (d1 + 2d2) / 3, we substitute the values to find the answer.

ii) At t=300ms, the center of mass velocity is given by v_com = gt - 0.2g/3. This is derived by taking the derivatives of the displacement equations for the stones, d1' = gt and d2' = g(t-0.1), and substituting them into the equation for the center of mass velocity, v_com = (d1' + 2d2') / 3. Simplifying further, we obtain the final expression for the center of mass velocity.

Therefore, at t=300ms, the center of mass of the two stones is located 0.065g/3 units below the release point, and it is moving with a velocity of gt - 0.2g/3.

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9514 1404 393

Answer:

  -7/4

Step-by-step explanation:

Here, you can "invert and multiply" ...

  \(-\dfrac{7}{10}\div\dfrac{2}{5}=-\dfrac{7}{10}\times\dfrac{5}{2}=-\dfrac{7\times5}{(5\times2)(2)}=\boxed{-\dfrac{7}{4}}\)

__

Alternatively, you can express each fraction using the same denominator, then find the quotient as the ratio of numerators.

  \(-\dfrac{7}{10}\div\dfrac{2}{5}=-\dfrac{7}{10}\div\dfrac{4}{10}=-7\div4=\boxed{-\dfrac{7}{4}}\)

The first blank is 32, the second is.... -64 i think.

Working out- plus 32 to each x linear relationship.

After applying a log transformation to the Agent Orange data, box plots of the transformed variable show significant differences between the two distributions.

Log Transformation: Take the natural logarithm of the dioxin measurements, excluding the zero values. Use the transformation log.dioxin_c = log(dioxin_c[ dioxin_c > 0 ]).

Box Plots: Create side-by-side box plots of the transformed variable (log.dioxin_c) for the two groups (Display 3 and Display 3.3). Compare the medians, spreads, and presence of outliers to visually assess the differences between the distributions.

T-Test: Conduct a two-sample t-test to compare the means of the transformed variable for Display 3 and Display 3.3. Calculate the p-value, which indicates the statistical significance of the difference between the two distributions.

Confidence Interval: Compute a 95% confidence interval for the difference in mean log measurements between the two groups. Back-transform the interval to the original scale using the exponential function.

Note that due to the addition of 0.5, the back-transformed interval provides an approximate estimate of the ratio of medians rather than exact values. Interpret the interval in terms of the original measurements, considering the potential differences in dioxin levels between the two displays.

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We can conclude that the socioeconomic class of the offender is related to the likelihood of arrests.

Based on the information provided, we can conclude that there is a significant relationship between arrests and the socioeconomic class of the offender.
Identify the chi-square critical score: 9.488

Identify the chi-square test statistic: 12.2
Compare the test statistic to the critical score:

If the test statistic (12.2) is greater than the critical score (9.488), then there is a significant relationship between the variables.
In this case, 12.2 > 9.488, so there is a significant relationship between arrests and the socioeconomic class of the offender.
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Answer:

The second and third choices are true

Step-by-step explanation:

In mathematics, a translation is a type of transformation where the object is moved horizontally and/or vertically, but it is not resized, reshaped, or rotated. To create R'T', the segment RT can be moved up, down, left, right, or diagonally. However, the length will be the same.

The first choice is incorrect because R'T' is the same length as RT, so it is definitely not shorter. That being said, the second statement must be correct because the length is the same.

The third choice is also correct. R'T' will be in a different position because it will have been translated, but the orientation will be the same (orientation typically refers to rotation, and the line is not rotated in a translation).

The fourth choice is incorrect because R'T' is not a rotation (so it is not turned). The fifth statement is incorrect because the only ways to switch the positions of R and T would be rotation or reflection (two other types of transformations). Finally, the last choice is incorrect because the line is moved, so there is a position change involved.

Therefore, the second and third choices are true

The correct answer is 7.

A linear equation only has one or two variables. In a linear equation, no variable can be multiplied by a value greater than one or used as the denominator of a fraction. When you find the values that collectively make a linear equation true and plot those values on a coordinate grid, all the points fall on the same line.

I am aware that this query's equation is,

6b + 6 = 48

subtract 6 from both side in the equation.

6b + 6 - 6 = 48- 6

6b = 42

now, divide by 6 from both side in the equation.

6b/6 = 42/6

b = 7.

Therefore, the correct answer is 7.

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I understand this is the question.

Oksana wrote the equation below on the whiteboard.

6 b + 6 = 48

What is the value of b?

(a)4

(b)7

(c)8

(d)9

Answer:

18 muffins

Step-by-step explanation:

Amount of flour Maggie used

Total amount of flour she bought - Amount of flour left over.

= 45oz - 14.72 oz

= 30.28 oz of flour

She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin.

Hence,

Let the number of muffins = x

17.5 + 0.71x = 30.28

0.71x = 30.28 - 17.5

0.71x = 12.78

x = 12.78/0.71

x = 18 muffins

Therefore, Maggie made 18 muffins

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Explanation:

For any 45-45-90 right triangle, the hypotenuse H is always sqrt(2) times the leg L

In terms of symbols, we can say

\(H = L*\sqrt{2}\)

We're told the hypotenuse is e, so H = e

Let's solve for L in terms of e

\(H = L*\sqrt{2}\\\\e = L*\sqrt{2}\\\\L*\sqrt{2} = e\\\\L = \frac{e}{\sqrt{2}}\\\\\)

Now let's multiply top and bottom by \(\sqrt{2}\) to rationalize the denominator

\(L = \frac{e}{\sqrt{2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{2*2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{4}}\\\\L = \frac{e\sqrt{2}}{2}\\\\\)

If the hypotenuse is e, then the length of each leg is \(\frac{e\sqrt{2}}{2}\)

This matches with choice C, which is one of the two answers. This allows us to rule out choices A and B, as those expressions are not equivalent to the expression for choice C.

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

The two legs of any right triangle form the base and height. The order doesn't matter. The base is always perpendicular to the height. In a right triangle, the two legs are always perpendicular.

The base and height are \(\frac{e\sqrt{2}}{2}\) each.

The area of the triangle is...

\(\text{Area} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{Area} = \frac{1}{2}*\frac{e\sqrt{2}}{2}*\frac{e\sqrt{2}}{2}\\\\\text{Area} = \frac{e\sqrt{2}*e\sqrt{2}}{2*2*2}\\\\\text{Area} = \frac{e*e\sqrt{2*2}}{2*2*2}\\\\\text{Area} = \frac{e^2\sqrt{4}}{2*2*2}\\\\\text{Area} = \frac{e^2*2}{2*2*2}\\\\\text{Area} = \frac{e^2}{2*2}\\\\\text{Area} = \frac{e^2}{4}\\\\\)

This matches with choice E, which is the other answer. Choices D and F are eliminated as they are not equivalent to the expression for choice E.

The required points that are correct are the length of the leg is given as e√2/2 and the area of the triangle is given as e²/4. Options D and E are correct.

Given that,
An isosceles right triangle has a hypotenuse of length e.

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.

Here,
Let the measure of the leg be x,
Apply Pythagoras' theorem,
e² = x ² + x²
e² = 2x²
x = √e²/2
x = e/√2
or
x = e√2/2

Now,?
area of the triangle is given as,
area = 1/2 × e/√2 ×e/√2
area = e² / 4

Thus, the required points that are correct are the length of the leg is given as e√2/2 and the area of the triangle is given as e²/4. Options D and E are correct.

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Answer:

2 2/3

Step-by-step explanation:

For each of her snack bag, she can fill it with a 1/3 cup of pretzels

1/3 x 8 = 2 2/3 cups

Answer:

Step-by-step explanation: