(2p²+7p-39)÷(2p-7)

Quotient ?

Answers

Answer 1

Answer:

Quotient: p + 7

Remainder: 10

Step-by-step explanation:

To find the quotient of the expression (2p² + 7p - 39) ÷ (2p - 7), we can use long division or synthetic division. Let's use long division:

           ____________________

2p - 7  |   2p² + 7p - 39

We start by dividing the first term of the dividend by the first term of the divisor, which gives us 2p² ÷ 2p = p. We then multiply p by the divisor (2p - 7) and subtract it from the dividend:

         p

    ____________________

2p - 7  |   2p² + 7p - 39

        - (2p² - 7p)

       14p - 39

    ____________________

2p - 7  |   2p² + 7p - 39

        - (2p² - 7p)

        ___________

               14p - 39

We repeat the process by dividing the first term of the new dividend (14p - 39) by the first term of the divisor (2p - 7). This gives us (14p - 39) ÷ (2p - 7) = 7. We then multiply 7 by the divisor (2p - 7) and subtract it from the new dividend:

         p + 7

    ____________________

2p - 7  |   2p² + 7p - 39

        - (2p² - 7p)

        ___________

               14p - 39

        - (14p - 49)

        ___________

                10

We are left with a remainder of 10. Therefore, the quotient is p + 7 with a remainder of 10.

Quotient: p + 7

Remainder: 10

Hope this helps!

Answer 2

p + 7 should be it.

I am not 100% sure?


Related Questions

Can someone please help me with math.

Answers

Answer:

A. 20.2 ft.

Step-by-step explanation:

Use the pythagorean theorem to find the missing side length.

a^2+b^2=c^2

11^2+17^2=c^2

I ready linear models choose the line that is the best fit for the data

Answers

Answer:

The Answer is lime 2 if not line 4

Step-by-step explanation:

YEp:)

How many ounces are in 2 1/2 gallons?

Answers

320 fluid ounces

because one gallon has 128 fluid ounces

Using π = 3.14, what is the circumference of a circle with a diameter of 28 units?
Round your answer to the nearest hundredth.

Answers

175.9

———————————————-

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

(7.5, 3)

Step-by-step explanation:

(5,5) and (10, 1)

Midpoint:

[tex](\frac{x1 + x2}{2} ,\frac{y1+y2}{2} )\\\\(\frac{5 + 10}{2} ,\frac{5+1}{2} )\\\\(\frac{15}{2} ,\frac{6}{2} )\\\\(7.5,3)[/tex]

Answer:

it should be (7.5,11.25)

Step-by-step explanation:

Mary is using a one-sample t-test on the following group: Subject #15: 7.5 hours Subject #27: 6 hours Subject #48: 7 hours Subject #80:6.5 hours Subject #91: 7.5 hours Subject #82: 8 hours Subject #23:5.5 hours Select the two TRUE statements. a.) The t-distribution that Mary uses has skinnier tails than a standard distribution. b.) The value for the degrees of freedom for Mary's sample population is six. c.) The t-distribution that Mary uses is taller than a standard distribution. d.) Mary would use the population standard deviation to calculate a t- distribution. e.) Mary would use the sample standard deviation to calculate a t-statistic. Teems need to be seleted

Answers

The two true statements are: b.) The value for the degrees of freedom for Mary's sample population is six, and e.) Mary would use the sample standard deviation to calculate a t-statistic.

a.) The t-distribution that Mary uses does not have skinnier tails than a standard distribution. In fact, the t-distribution has fatter tails, which accounts for the increased variability when working with small sample sizes.

b.) The degrees of freedom for Mary's sample population can be calculated as the number of subjects minus one, which in this case is 7 - 1 = 6. So statement b is true.

c.) The t-distribution that Mary uses is not taller than a standard distribution. The shape of the t-distribution is similar to the standard normal distribution, but it is slightly flatter.

d.) Mary would not use the population standard deviation to calculate a t-distribution. Instead, she would use the sample standard deviation, which provides an estimate of the population standard deviation.

e.) Mary would use the sample standard deviation to calculate a t-statistic. The t-statistic measures the difference between the sample mean and the hypothesized population mean, relative to the variability in the sample.

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HELP ME!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

PLZ HELP!!!!!!



What is the quotient ? 1 O 73 O 78

Answers

sorry im on my school computer so the picture is blocked :(

Answer:

A.) 1/7^8

Step-by-step explanation:

guy in the comments said it and i got it write, so this is for the people that cant see the comments.

The life expectancy of Lagrangian Toads is normally distributed with a mean of 15 years and a standard deviation of 2 years. If we have a population of 1500 Lagrangian Toads, then how many do we expect to live between 9 years and 19 years?

Answers

we expect around 1464 Lagrangian Toads to live between 9 years and 19 years.

To solve this problem, we need to calculate the probability that a Lagrangian Toad's life expectancy falls between 9 years and 19 years, given a normal distribution with a mean of 15 years and a standard deviation of 2 years.

First, we calculate the z-scores for the lower and upper bounds of the desired range:

Lower z-score = (9 - 15) / 2 = -3

Upper z-score = (19 - 15) / 2 = 2

Next, we use the z-scores to find the cumulative probability using a standard normal distribution table or calculator.

P(Z < -3) ≈ 0.0013

P(Z < 2) ≈ 0.9772

To find the probability between these two z-scores, we subtract the lower probability from the upper probability:

P(-3 < Z < 2) ≈ 0.9772 - 0.0013 = 0.9759

This means that approximately 97.59% of the Lagrangian Toads in the population are expected to live between 9 years and 19 years.

To find the number of Lagrangian Toads in this range, we multiply the probability by the total population size:

Number of Lagrangian Toads = 0.9759 * 1500 ≈ 1463.85

Rounding to the nearest whole number, we expect around 1464 Lagrangian Toads to live between 9 years and 19 years.

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i need to know the answer and the work shown how i got it pleasee help!!!

Answers

Answer: 13.5

Step by step:

1: the symbol “~” means that the two shapes are congruent in size so you know you have to multiply each side by the same number i.e: multiply all sides by the same number

2: start by taking each side and multiplying them start with the smaller shape to the largest shape

3: i multiplied 5 to get 7.5 and 6 to get 9

4 then take the 9 and multiply it by 1.5 to get your answer

Hope this helps! :)

........help me plz plzzzzzzzz

Answers

Answer:

a = 42 and B = 50

Step-by-step explanation:

6 x 5 = 30

6 x 7 = 42

B

7 x 10

5 x 10

Answer:

Monkey A ate 42 vegtables and monkey B ate 50 fruits

Step-by-step explanation:

There are 5 blocks of fruits and 7 of vegtables.

Monkey A ate 30 fruits; 30/5 = 6. So that means each block is worth 6 peices of food. And 6x7 = 42.

Monkey B ate 70 vegtables; 70/7 = 10. So that means each block is worth 10 peices of food. And 10x5 = 50

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

Missing values

Vegtables: 42

Fruit: 50

Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden?

ahhh i rlly need help with this one haha thanks!!

Answers

Answer:

The original speed of the grey wolf can be 9 and/or 48 km/hour

Step-by-step explanation:

There are two trips. One to King Castle (KC) to Magic Apple Garden (MAG), and then back (MAG - KC).

First trip: KC - MAG

It takes the same distance as MAG - KC so distance can be D for both.

Then it is stated that it takes 5 hours or 300mins for him to go from KC - MAG, and the speed is constant.

Let x be speed.

So the equation for this is:

D=5x

Second trip: MAG - KC

Here he goes 36 mi at constant speed (x), then picks up his speed by 3 km/hour (x+3).

For Time:

He reaches to KC, 15 mins earlier than KC - MAG, so he reaches there in 4.75 hours or in 275 min.

The problem splits into two as there are two different times, for the two parts of the journey or distance for MAG - KC.

Let T#1 = a, and T#2 = b.

Let D#2 = D-36

The equation for a:

a = 36/x --> This is he is at a constant speed and went for 36mi.

Next:

The equation for b:

b = (x+3)/D#2

These two equation have to be added as (a+b) = 4.75 --> 4.75 is the total time for MAG - KC.

So the equation is:

36/x + (5x-36)/x+3 = 4.75 --> Knowing (a+b) = 4.75, just put 4.75 as the equal, and add the fractions that equal (a) and (b).

Now Solve:

36/x + (5x-36)/x+3 = 4.75

0.25s^2 + 108 + 5s^2 - 36s = 4.75s*(s+3)

0.25s^2 - 14.25s + 108 = 0

(14.25 +- Square root (203.06 - 108))/0.5

(14.25 +- Square root (95.0625))/0.5

(14.25 +- 9.75)/0.5

Answer:

s = 9, s=48.

Therefore the original speed of the grey wolf can be 9 and/or 48 km/hour.

1/4 of my shirts are red, the rest are blue. Show the ratio of red to blue shirts

Answers

Answer:

1:3 red to blue

Step-by-step explanation:

you have x shirts. Let's call the number of red shirts r and the number of blue shirts b.

r = x * 1/4

b = x - r = x - (x * 1/4) = x * 3/4

r:b = (x * 1/4):(x * 3/4) = (1/4):(3/4) = 1:3

please help!!!! it’s due asapppp !!!!!

Answers

The last one is the correct answer for this

(x – 6)2 = y + 7, find the vertex.

Answers

Would be the answer 16

The equation (x+56)1/2^=x has an extraneous solution.
True or false

Answers

9514 1404 393

Answer:

  True

Step-by-step explanation:

We assume your equation is intended to be ...

  [tex]\sqrt{x+56} =x[/tex]

The usual method of solution squares both sides, then solves the resulting quadratic.

  [tex]x+56=x^2\\\\x^2-x-56=0\\\\(x-8)(x+7)=0\longrightarrow x=\{-7,+8\}[/tex]

Considering the initial problem, we require x ≥ 0, so the x=-7 solution is extraneous.

__

A graphical solution shows there is only one value of x that satisfies the equation. The other "solution" arises from considering the negative square root. It is introduced when the equation is squared.

if there is a discordance in the evolution of our genes and culture, why haven’t our genes caught up? how is this related to the concept of "mismatch" posed in the article?

Answers

The discordance between the evolution of genes and culture relates to the concept of "mismatch" in the article, highlighting the misalignment between our genetics and the rapidly changing cultural environment.

The discordance between the evolution of genes and culture refers to the fact that human genes evolve slowly over long periods, while cultural changes occur rapidly. This raises the question of why our genes haven't caught up with the cultural changes happening around us. This concept of mismatch is explored in the article to highlight the misalignment between our genetic predispositions and the demands of the rapidly changing cultural environment.

The article likely delves into how this mismatch can lead to various challenges and conflicts, such as the prevalence of modern diseases or psychological conditions arising from the discrepancy between our evolutionary heritage and the cultural context we find ourselves in today. By examining this concept, the article aims to shed light on the potential consequences and implications of the evolutionary-cultural mismatch.

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Question 1 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0) (10,-2)

Answers


The answer is F y=-1/5x

The equation of the following line is y= -1/5x.

Option F is correct.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

From the graph we have the coordinates as (0, 0) and (10, -2)

So, the slope of the line is

= (-2 - 0) / (10- 0)

= -2/ 10

= 1-5

and, using the slope intercept is

y= mx+ b

y= -1/5x + b

Now, put x= 0 and y= 0 in above equation

0 = 1/5(0) + b

b= 0

So, the Equation of line is

y= -1/5x

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Please help me with this

Answers

Answer:with what

Step-by-step explanation:

PLEASE HELP DUE TODAY HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I think it’s the third

Answer:

it's the first one

Step-by-step explanation:

you'd get each output (y) when you subtract 4 from whatever x is

A plane is in route to drop off much needed medical supplies to a town. At an altitude of 6.4 miles, it located the town airport at an angle of depression of 7.9 degrees. How many horizontal miles left does the plane need to travel? round to the nearest tenth of a mile.

Answers

Answer:

The horizontal distance is 46.1 miles.

Step-by-step explanation:

Here, the given question can be explained by the sides of a right angled triangle. Let x represent the horizontal miles, then applying an appropriate trigonometric function;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]7.9^{o}[/tex] = [tex]\frac{6.4}{x}[/tex]

0.1388 = [tex]\frac{6.4}{x}[/tex]

x = [tex]\frac{6.4}{0.1388}[/tex]

  = 46.1095

x = 46.1 miles

The plane needs to travel a horizontal distance of 46.1 miles.

The question is down below, please help me!! I will rate the question 5 stars and give a heart if answered

Answers

Answer:

it's 3.12 it's super easy it is 3.12 trust me you won't get it wrong

a storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet?

Answers

Answer:

1335.18

Step-by-step explanation:

V=π(d/2)2h

Answer:

1335.18

Step-by-step explanation:

V=π(d/2)2h

When approximating sof(x)dx using Romberg integration, Rey gives an approximation of order: h10 h8 h4 h6

Answers

The order of approximation in Romberg integration is determined by the number of iterations (k) and can be expressed as [tex]2^(2k)[/tex].

When using Romberg integration, the order of approximation refers to the rate at which the error decreases as the step size (h) is reduced. Romberg integration combines the trapezoidal rule with Richardson extrapolation to achieve higher accuracy.

In Romberg integration, the order of approximation is determined by the highest power of h that contributes to the error term. The error term for Romberg integration is typically of the form [tex]O(h^{2n})[/tex], where n is the order of approximation.

The Romberg integration method can achieve various orders of approximation depending on the number of iterations performed. The number of iterations is usually denoted by k, and the order of approximation can be expressed as [tex]2^{2k}[/tex].

So, if Rey gives an approximation of order h10, h8, h4, h6, it means that the Romberg integration method has been applied with different numbers of iterations (k) to achieve different orders of approximation. The higher the order, the more accurate the approximation will be.

It's important to note that Romberg integration is typically denoted by a sequence of numbers, such as R(k, m), where k is the number of iterations and m is the number of function evaluations per iteration. The notation h10, h8, h4, h6 doesn't correspond directly to the traditional Romberg integration notation.

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Show that if U is open in X, and A is closed in X, then U\A is open in X, and A\U is closed in X.

Answers

The intersection of N(x) and N'(x), denoted by N(x)∩N'(x), is an open neighborhood of x. Since N(x)∩N'(x) ⊆ N(x) ⊆ U and N(x)∩N'(x) ⊆ N'(x) ⊆ X\U, we can conclude that N(x)∩N'(x) ⊆ UA.

Since N(x)∩A is a non-empty set contained in A\U, we have shown that every point in (A\U)' has a neighborhood contained in A\U. Therefore, (A\U)' is open in X, which implies that A\U is closed in X.

To show that if U is open in X and A is closed in X, then UA is open in X and A\U is closed in X, we need to prove two statements:

UA is open in X.A\U is closed in X.

Let's prove these statements one by one:

To show that UA is open in X, we need to prove that for every point x in UA, there exists an open neighborhood around x that is completely contained within UA.

Let x be an arbitrary point in UA. Since x is in UA, it must belong to U as well as A. Since U is open in X, there exists an open neighborhood N(x) of x that is completely contained within U. Now, since x is in A, it is also in X\U (complement of U in X). As A is closed in X, X\U is closed in X, which means its complement, U, is open in X. Therefore, there exists an open neighborhood N'(x) of x that is completely contained within X\U.

Now, consider the intersection of N(x) and N'(x), denoted by N(x)∩N'(x). This intersection is an open neighborhood of x. Since N(x)∩N'(x) ⊆ N(x) ⊆ U and N(x)∩N'(x) ⊆ N'(x) ⊆ X\U, we can conclude that N(x)∩N'(x) ⊆ UA.

Since N(x)∩N'(x) is an open neighborhood of x completely contained within UA, we have shown that UA is open in X.

To show that A\U is closed in X, we need to prove that its complement, (A\U)', is open in X.

Let x be an arbitrary point in (A\U)'. Since x is not in A\U, it means that x must either be in A or in U (or both). If x is in A, then x is not in A\U. Therefore, x is in U.

Since x is in U and U is open in X, there exists an open neighborhood N(x) of x that is completely contained within U. Now, consider the intersection of N(x) and A. Since x is in A, N(x)∩A is a non-empty set. Let y be any point in N(x)∩A.

We know that N(x)∩A ⊆ U∩A ⊆ A\U, because if y was in U, it would contradict the assumption that y is in A. Therefore, N(x)∩A is a subset of A\U.

Since N(x)∩A is a non-empty set contained in A\U, we have shown that every point in (A\U)' has a neighborhood contained in A\U. Therefore, (A\U)' is open in X, which implies that A\U is closed in X.

Hence, we have shown that if U is open in X and A is closed in X, then UA is open in X, and A\U is closed in X.

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What is the positive solution to 2x^2=72?

Answers

2x^2 = 72

Divide both sides by 2:

X^2 = 36

Take the square root of both sides

X = 6

Exercise 11.4.7
The following computer output is for an analysis of variance in which yields (bu/acre) of different varieties of oats were compared.
Sums of Mean Source df squares square F ratio Prob
Group 2 76.8950 38.4475 0.40245 0.6801
Error 9 859.808 95.5342
Total 11 936.703
Figure 6: Problem 11.4.7
(a) How many varieties (groups) were in the experiment?
(b) State the conclusion of the ANOVA.
(c) What is the pooled standard deviation, spooled

Answers

The values of all sub-parts have been obtained.

(a). There are three varieties were in the experiment.

(b). ANOVA condition has been obtained.

(c). Pooled standard deviation is 9.7742.

What is ANOVA?

To examine how different means differ from one another, analysis of variance is a collection of statistical models and the corresponding estimate techniques. Ronald Fisher, a statistician, created the ANOVA.

(a). Suppose that there are 1 variety or group in the study.

given df (between) = 2 and df (between) = (l - 1).

Therefore,

l = df (between) + 1

l = 2 + 1

l = 3.

(b). In the given ANOVA the p-value (prob = 0.6801) is large enough to accept the null hypothesis thus there is sufficient evidence to conclude that the always yield (bu/acre) of different verities of oats in three groups in same.

(c) Evaluate the pooled standard deviation:

Given MS (with in) = 95.3342 pooled standard deviation is,

Spooled = √(MS (with in))

Spooled = √95.3342

Spooled = 9.7742.

Hence, the values of all sub-parts have been obtained.

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Plz help Major grade 6th grade

Answers

Answer:

A. 300h = 900

Step-by-step explanation:

V = lwh

900 = (25)(12)h

900 = 300h

300h = 900

Find the volume of the
rectangular prism below

Answers

Answer:

480

Step-by-step explanation:

multiply all three values

Compare each set of rational numbers.

Answers

hey.. don’t click on that link or any links on here !!! but i jus wanna say you didn’t attach an image of your question :).
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