[tex]\int\limits^9_3 {\frac{1}{(x+21)\sqrt{x+22} } } \, dx[/tex]

Answers

Answer 1

Let y = x + 22 and dy = dx, so the integral becomes

[tex]\displaystyle \int_3^9 \frac{\mathrm dx}{(x+21)\sqrt{x+22}} = \int_{25}^{31} \frac{\mathrm dy}{(y-1)\sqrt{y}}[/tex]

Now let z = √y, so that z ² = y. Then 2z dz = dy, and the integral becomes

[tex]\displaystyle \int_3^9 \frac{\mathrm dx}{(x+21)\sqrt{x+22}} = \int_{\sqrt{25}}^{\sqrt{31}} \frac{2z}{(z^2-1)z} \\\\ = \int_5^{\sqrt{31}} \frac{2}{z^2-1}\,\mathrm dz[/tex]

Expand the integrand into partial fractions:

[tex]\dfrac{2}{z^2-1} = \dfrac1{z-1}-\dfrac1{z+1}[/tex]

Then we have

[tex]\displaystyle \int_3^9 \frac{\mathrm dx}{(x+21)\sqrt{x+22}} = \int_5^{\sqrt{31}}\left(\frac1{z-1}-\frac1{z+1}\right)\,\mathrm dz \\\\ = \left(\ln|z-1|-\ln|z+1|\right)\bigg|_5^{\sqrt{31}} \\\\ =\left[\ln\left|\frac{z-1}{z+1}\right|\right]\bigg|_5^{\sqrt{31}} \\\\ =\ln\left(\frac{\sqrt{31}-1}{\sqrt{31}+1}\right) - \ln\left(\frac{4}{6}\right) \\\\ =\ln\left(32-2\sqrt{31}\right) - \ln\left(\frac23\right) \\\\ =\boxed{\ln\left(48-3\sqrt{31}\right)}[/tex]


Related Questions

what is an example of a quintic bionomial?

Answers

3x^5+2

quantic means with the degree of 5 and binomial means two terms.

Please help will give brainliest

Complete the equation describing how
x and y are related.
X
0
1
2
3
4
у
-6
-10
-14
- 18
-22
y = [ ? ]x + [ ]
Enter the answer that belongs in [?].

Answers

Answer:

-6

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The y intercept is the value when x = 0

The y value is -6 when the x value is 0

y = -4x+ (-6)

James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there are a total of 49 bills in James's piggy bank, how many one dollar bills does he have?

Answers

Answer:

32 one-dollar bills.

Step-by-step explanation:

Let x represent one-dollar bills and y represent two-dollar bills.

He has a total of 49 bills. Therefore:

[tex]x+y=49[/tex]

The total amount of money James has is 66. x is worth one dollar, while y is worth two dollars. Therefore:

[tex]1x+2y=66\\x+2y=66[/tex]

We have a system of equations. Solve by substitution:

[tex]x+2y=66\\x+y=49\\x=49-y\\(49-y)+2y=66\\y=17\\x=49-17=32[/tex]

Therefore, James has 32 one-dollar bills and 17 two-dollar bills.

Checking:

[tex]32(1)+17(2)\stackrel{?}{=}66\\32(1)+17(2)\stackrel{\checkmark}{=}66\\\\32+17\stackrel{?}{=}49\\49\stackrel{\checkmark}{=}49[/tex]

Assume a random sample of size n is from a normal population. Assume a single sample t test is used to for hypothesis testing. The null hypothesis is that the population mean is zero versus the alternative hypothesis that it is not zero. If the sample size is decreased, and the Type I error rate is unchanged, then the Type II error rate will increase.a. Trueb. False

Answers

Answer:

true

Step-by-step explanation:

type 1 and type 2 are not independent of each other - as one increases, the other decreases

A right triangle has the following vertices Find the area of the triangle
(7,-3) (4,-3) (4,9)
20 pnts

Answers

Answer:

Area = 18 square units

Step-by-step explanation:

To find the area of the triangle, let's go through the following steps:

(i) Let the vertices be;

A = (7, -3)

B = (4, -3)

C = (4, 9)

(ii) The sides of the triangle are therefore,

AB, BC and CA

(iii) Using the distance formula, calculate the lengths of AB, BC and CA

[tex]AB = \sqrt{(7-4)^2 + ( -3 - (-3))^2}[/tex]

[tex]AB = \sqrt{3^2 + (0)^2}\\[/tex]

[tex]AB = \sqrt{9}[/tex]

[tex]AB = 3[/tex]

[tex]BC = \sqrt{(4-4)^2 + ( -3 - 9)^2}[/tex]

[tex]BC = \sqrt{0^2 + (-12)^2}[/tex]

[tex]BC = \sqrt{144}[/tex]

[tex]BC = 12[/tex]

[tex]CA = \sqrt{(4-7)^2 + ( 9 - (-3))^2}[/tex]

[tex]CA = \sqrt{(-3)^2 + (12)^2}[/tex]

[tex]CA = \sqrt{9 + 144}[/tex]

[tex]CA = \sqrt{153}[/tex]

[tex]CA = 12.4[/tex]

(iv) Now that we have all the sides, let's calculate the area of the triangle using the Heron's formula.

Area = [tex]\sqrt{p(p-a)(p-b)(p-c)}[/tex]

Where;

p = [tex]\frac{a + b + c}{2}[/tex]

a, b and c are the sides of the triangle.

In our case,

let

a = AB = 3

b = BC = 12

c = CA = 12.4

∴ p = [tex]\frac{3 + 12 + 12.4}{2}[/tex]

p = 13.7

Area = [tex]\sqrt{p(p-a)(p-b)(p-c)}[/tex]

Area = [tex]\sqrt{13.7(13.7-3)(13.7-12)(13.7-12.4)}[/tex]

Area =  [tex]\sqrt{13.7(10.7)(1.7)(1.3)}[/tex]

Area =  [tex]\sqrt{323.9639}[/tex]

Area  = 17.999

Area = 18 square units

OR

To get the area of the triangle, we can use a much simpler approach.

Since the triangle is a right triangle,

(i) the hypotenuse, which is the longest side is CA = 12.4

(ii) the other two sides are AB and BC. These two sides will form the right angle.

Therefore, we can use the relation:

Area = [tex]\frac{1}{2}[/tex] x base x height

Where;

the base or height can either be AB or BC

Area = [tex]\frac{1}{2}[/tex] x 3 x 12

Area = 18 square units

PS: In a right triangle, the other two sides apart from the hypotenuse form the right angle.

Solve for x² in x²-3x+2=0​

Answers

[tex]x^2-3x+2=0\\x^2-x-2x+2=0\\x(x-1)-2(x-1)=0\\(x-2)(x-1)=0\\x=2 \vee x=1\\\\x^2=4 \vee x^2=1[/tex]

Answer:

Step-by-step explanation:

First we try to factor x²-3x+2.

We have to look for two numbers that multiply to 2 and add -3.

The two numbers are -1 and -2.

(x-1)(x-2) = 0

x-1 = 0 -> x = 1

x-2 = -> x = 2

Now we find x^2.

(1)^2 = 1

(2)^2 =4

Put the following equation of a line into slope-intercept form, simplifying all fractions.


Thanks In advance

Answers

Answer:

2x+2y=-18

2y=-2x-18

y=-x-9

hope that answers your questipn

dont hesitate to comment for more explanation about this topic.


$88 tickets to the San Francisco 49ers game are offered at a 15%
discount. What is the sale price?

Answers

Answer:

74.80

Step-by-step explanation:

First find the discount

88 * 15%

88*.15

13.2

Subtract the discount from the original price

88-13.2

74.80

NEED HELP ASAP

Which is best described as a part of the interior of a circle bounded by an arc
and the two radii that share the are's endpoints?

Answers

Answer:

The answer is sector. B.

Good day!

HELPPP ASPPP PLZZ Select the correct answer

Answers

Answer:  Choice C

[tex]\frac{2x+3}{x+2}[/tex]

===============================================

Work Shown:

[tex]h(x) = f(x) \div g(x)\\\\h(x) = \frac{f(x)}{g(x)}\\\\h(x) = \frac{2x^2-x-6}{x^2-4}\\\\h(x) = \frac{(x-2)(2x+3)}{(x-2)(x+2)}\\\\h(x) = \frac{2x+3}{x+2}\\\\[/tex]

Optional Extra Info:

Keep in mind that [tex]x \ne 2[/tex] and [tex]x \ne -2[/tex] to avoid division by zero errors. We can plug in x = 2 just fine into the simplified version of h(x), but we always need to go back to the original.

A survey of 500 randomly selected adults found that 57% say that they would take a ride in a fully self-driving car. The 95% confidence interval for the true proportion of all adults who would take a ride in a full self-driving car is found to be (0.5266, 0.6134). Can we conclude that the majority of all adults would take a ride in a fully self-driving car?

Yes; Since the confidence interval limits are both greater than 50%, we can reasonably conclude that more than half of all adults would take a ride in a fully self-driving car.

No; The data does not include all adults, so we cannot make a conclusion about the population.

No; The confidence interval limits are not large enough to determine that a majority rely only on cellular phones. The proportion would need to be much greater than 50%, and the one above is only slightly larger.

Yes; Since the proportion of adults who said yes is 57%, and this is higher than 50%, we can conclude that a majority would take a ride in a fully self-driving car.

Answers

Answer:

Yes; Since the confidence interval limits are both greater than 50%, we can reasonably conclude that more than half of all adults would take a ride in a fully self-driving car.

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  500

     The sample proportion is  [tex]\r p = 0.57[/tex]

     The  95% confidence interval is (0.5266, 0.6134)

Looking at the 95% confidence level interval we see that the sample proportion is within the interval and given that the confidence interval limits are both greater than 50%, we can reasonably conclude that more than half of all adults would take a ride in a fully self-driving car.

Suppose we want to test the color distribution claim on the M&M’s website that a bag of plain M&M’s is made up of 10% blue, 10% orange, 10% green, 20% red, 20% yellow, and 30% brown. We select a sample of 400 plain M&M’s and found the following: Color Blue Orange Green Red Yellow Brown Frequency 30 48 55 66 70 131
Is there evidence to doubt the color distribution claimed by the website? Use =0.05

Answers

Answer:

Calculated χ² = 13.425

χ² (5,0.025) >14.45 and χ²(5,0.975) <1.24

The given data does not fall in the critical region so we accept H0 and conclude there is no evidence to doubt the color distribution claimed by the website.

Step-by-step explanation:

Color             Blue      Orange     Green    Red   Yellow    Brown

Frequency     30         48              55        66         70         131

Expected      40           40              40        80          80        120

H0:  The bag of plain M&Ms is made up of 10% blue, 10% orange, 10% green, 20% red, 20% yellow, and 30% brown

Ha: The color distribution is not equal to  the distribution stated in the null hypothesis.

Calculate chi square

χ² = (30-40)² /40 + (48-40)²/40 + (55-40)²/40 + (66-80)²/80 + (70-80)²/80 + (131-120)²/120

χ² = 2.5 + 1.6 + 5.625 + 2.45 + 1.25= 13.425

The critical region for χ²  for 5 degrees of freedom with ∝= 0.05 is

χ² (5,0.025) >14.45 and χ²(5,0.975) <1.24

The given data does not fall in the critical region so we accept H0 and conclude there is no evidence to doubt the color distribution claimed by the website.

Using the insurance company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 14-year period. Round your answer to four decimal places.

Answers

Answer:  19.2222

Step-by-step explanation:

given data;

no of tornadoes = 2,1,0 because it’s fewer than 3.

period = 14 years

probability of a tornado in a calendar year = 0.12

solution:

probability of exactly 2 tornadoes

= ( 0.12 )^2 * ( 0.88 )^11 * ( 14! / 2! * 11! )

= 0.0144 * 0.2451 * 1092

= 3.8541

probability of exac one tornado

= ( 0.12 )^1 * ( 0.88 )^12 * ( 14! / 1! * 12! )

= 0.12 * 0.2157 * 182

= 12.7109

probability of exactly 0 tornado

= ( 0.12 )^0 * ( 0.88 )^13 * ( 14! / 0! * 13! )

= 1 * 0.1898 * 14

= 2.6572

probability if fewer than 3 tornadoes

= 3.8541 + 12.7109 +2.6572

= 19.2222

Q-21: The regions of inequalities are also called:
A) Planes B) Lines C) Half planes D) None of these​

Answers

Answer:

D ) none of these .. i think this help you

The length of the shadow of a flagpole was found to be 72 feet. The shadow of a 3 foot picket fence in line with the flagpole was 4 feet. What is the height of the flagpole.

Answers

Answer:

54ft

Step-by-step explanation:

if 3foot is 4ft tall

then a shadow of 72 ft will be how tall?= x

4x =3ft by 72ft

4x= 216ft

x= 216/4

×=54

There are $400$ pages in Sheila's favorite book. The average number of words per page in the book is $300$. If she types at an average rate of $40$ words per minute, how many hours will it take to type the $400$ pages of the book?

Answers

Answer:

50hours

Step-by-step explanation:

Given that there are 400 pages in Sheila's favorite book.

The average number of words per page in the book is 300

She types an average rate of 40words per minute.

So to type 400pages of the book

Total number of words in the pages = 400×300 = 120000 words

Typing rate : 40words ------- 1minute

120000 words ----------- x minutes

Hence we have 40 × X mins = 120000 × 1min

Make X the subject

40X = 120000minutes

X = 120000/40

X = 3000minutes

Since 60minutes = 1hour

3000minutes = 3000minutes/60

= 50hours

Hence it took her 50hours to type 400pages

Solution:

The total number of words in the book is 400 x 300. Sheila types at a rate of 40 words per minute, or 40 x 60 words per hour. The number of hours it takes her is equal to the number of words divided by her rate of typing, or 400x300/40x60 = 50 hours.

Pls help need this done hurry

Answers

Answer:

Shade 23 boxes

Step-by-step explanation:

This is the first two rows fully (all 10 boxes) and then three more from the third row.

xxxxxxxxxx

xxxxxxxxxx

xxx . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

Write a linear(y =mx + b) quadratic (y = ax exponent 2) or exponential (y = a(b) x) function that models the data HELP

Answers

Answer:

y = 48x + 36

Step-by-step explanation:

m = 48

y = 48x +36

Let R be a system consisting of rational expressions. Which operations are closed for R?

Answers

Answer:

D

Step-by-step explanation:A set is said to be closed under an operation when the application of the operation between any two elements of the set leads to an element that belongs to the same set. If a set is closed under an operation, it is said to have the closure property of that operation. When we combine two rational expressions by adding, subtracting, multiplying, or dividing, we get a rational expression. This pattern indicates that rational expressions are closed for all four operations.

NEED HELP ASAP PLEASE!! The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has
been stretched and shifted. Which of the following could be the equation of
Fx)?
10
G(X) = x2
10
Fx) = ?

Answers

Answer:

D. F(x) = ( (1/5)x)^2 - 4

Step-by-step explanation:

The standard transformation with a stretch and a shift is

F(x) = f(x/b) + k

The red curve has a vertex at (0,-4), and cuts the x-axis at (10,0)

That means that before the vertical shift (of k=-4), the vertex was at (0,0), and the curves passes through (10,4).

Substituting in the equation

F(10) = (10/b)^2 -4 = 0

solve for b

(10/b)^2-4 = 0

(10/b)= sqrt(4) = 2

b = 10/2 = 5

Therefore the transformation equation is

F(x) = (x/5)^2-4

The answer is

F(x) = ( (1/5)x)^2 - 4

Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal places.) f(x) = x2 − 5, x1 = 2n xn f(xn) f '(xn) f(xn)/f '(xn) xn − f(xn)/f '(xn)1 2

Answers

Answer:

Step-by-step explanation:

Given that:

[tex]\mathsf{f(x) = x^2 -5 } \\ \\ \mathsf{x_1 = 2}[/tex]

The derivative of the first function of (x) is:

[tex]\mathsf{f'(x) =2x }[/tex]

According to Newton's Raphson method for function formula:

[tex]{\mathrm{x_{n+1} = x_n - \dfrac{f(x_n)}{f'(x_n)}}[/tex]

where;

[tex]\mathbf{x_1 =2}[/tex]

The first iteration is as follows:

[tex]\mathtt{f(x_1) = (2)^2 - 5} \\ \\ \mathbf{f(x_1) = -1}[/tex]

[tex]\mathtt{f'(x_1) = 2(2)} \\ \\ \mathbf{ = 4}[/tex]

[tex]\mathtt{\dfrac{f(x_1)}{f'(x_1)}} = \dfrac{-1}{4}}[/tex]

[tex]\mathbf{\dfrac{f(x_1)}{f'(x_1)} =-0.25}[/tex]

[tex]\mathtt{x_1 - \dfrac{f(x_1)}{f'(x_1)}} = \mathtt{2 - (-0.25)}}[/tex]

[tex]\mathbf{x_1 - \dfrac{f(x_1)}{f'(x_1)} = 2.25}[/tex]

Therefore;

[tex]\mathbf{x_2 = 2.25}[/tex]

For the second iteration;

[tex]\mathtt f(x_2) = (2.25)^2 -5}[/tex]

[tex]\mathtt f(x_2) = 5.0625-5}[/tex]

[tex]\mathbf{ f(x_2) =0.0625}[/tex]

[tex]\mathtt{f'(x_2)= 2(2.25)}[/tex]

[tex]\mathbf{f'(x_2)= 4.5}[/tex]

[tex]\mathtt{ \dfrac{f(x_2)}{f'(x_2)}} = \dfrac{0.0625}{4.5}}[/tex]

[tex]\mathbf{ \dfrac{f(x_2)}{f'(x_2)} = 0.01389}[/tex]

[tex]\mathtt{x_2 - \dfrac{f(x_2)}{f'(x_2)}} = \mathtt{2.25 -0.01389}}[/tex]

[tex]\mathbf{x_2 - \dfrac{f(x_2)}{f'(x_2)} = 2.2361}}[/tex]

Therefore, [tex]\mathbf{x_3 = 2.2361}[/tex]

A concern of Major League Baseball is that games last too long. Some executives in the league's headquarters believe that the mean length of games this past year exceeded 3 hours (180 minutes). To test this, the league selected a random sample of 80 games and found the following results: = 193 minutes and s = 16 minutes.
Based on these results, if the null hypothesis is tested using an alpha level equal to 0.10, which of the following is true?

a. The null hypothesis should be rejected if xbar > 182.31.
b. The test statistic is t = 1.2924.
c. Based on the sample data, the null hypothesis cannot be rejected.
d. It is possible that when the hypothesis test is completed, a Type II statistical error has been made.

Answers

Answer:

it is possible that when the hypothesis test is completed,a type ll statistical error has been made

The table above shows the percent of the area of a town
devoted to three uses. If the area devoted to business use
is 7,200 acres less than the area devoted to residential
use, what is the area, in acres, devoted to government
use?
A) 1,400
B) 1,800
C) 5,200
D) 44,000

Answers

Answer:  B)  1,800 acres

=========================================================

Explanation:

Let

r = area devoted to residential use

This variable is some positive real number, and it represents the area in acres.

Your teacher says that " the area devoted to business use is 7,200 acres less than the area devoted to residential use"

This means the expression r-7200 represents the area for business use

Note the jump from 25% to 65% is 65/25 = 2.6, meaning that we multiply by 2.6 when going from the business area to the residential area.

So we'll multiply by 2.6 to go from r-7200 to r

We'll have this equation

2.6(r-7200) = r

because it's effectively saying

2.6*(business area) = residential area

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

Let's isolate r

2.6(r-7200) = r

2.6r-2.6*7200 = r

2.6r - 18720 = r

2.6r - r = 18720

1.6r = 18720

r = 18720/(1.6)

r = 11700

We'll use 11700 acres for the residential portion.

And also r-7200 = 11700-7200 = 4500 acres are set aside for the business district.

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

The largest region (residential) uses 11700 acres of land.

Note the jump from 10% to 65% involves a multiplier of 6.5 because 65/10 = 6.5

So if g is the amount of government land used, then,

6.5g = r

6.5g = 11700

g = 11700/(6.5)

g = 1800

1800 acres of land are for government use

This is why the answer is choice B.

The area, in acres, devoted to government use is 1800.

Option (B) is correct.

To find the area.

What is percentage?

Percentage, a relative value indicating hundredth parts of any quantity.

Given that:

Let

r = area devoted to residential use

This variable is some positive real number, and it represents the area in acres.

This means the expression r-7200 represents the area for business use

Note the jump from 25% to 65% is 65/25 = 2.6, meaning that we multiply by 2.6 when going from the business area to the residential area.

To multiply by 2.6 to go from r-7200 to r

The equation is

2.6(r-7200) = r

because it's effectively saying

2.6*(business area) = residential area

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

Let's isolate r

2.6(r-7200) = r

2.6r-2.6*7200 = r

2.6r - 18720 = r

2.6r - r = 18720

1.6r = 18720

r = 18720/(1.6)

r = 11700

We'll use 11700 acres for the residential portion.

And also r-7200 = 11700-7200 = 4500 acres are set aside for the business district.

The largest region (residential) uses 11700 acres of land.

Note the jump from 10% to 65% involves a multiplier of 6.5 because 65/10 = 6.5

So if g is the amount of government land used, then,

6.5g = r

6.5g = 11700

g = 11700/(6.5)

g = 1800

So, the area, in acres, devoted to government use is 1800.

Learn more about percentage here:

https://brainly.com/question/24338898

#SPJ2

Kristin is building a pattern using triangles. The table shows the number of triangles in the first 4 terms of the pattern.
Term Number (7)
1 2 3 4
Number of Triangles (t) 1 3 5 7
Which formula describes the number of triangles in the nth term of the pattern?
O A n=1+2
O B. n=1+3
Oc. n = 21-1
OD n = 2t + 3

Answers

Answer:

[tex]\bold{n =2t-1}[/tex]

Step-by-step explanation:

Given table is:

[tex]\begin{center}\begin{tabular}{ c c}Term Number (t) & Number of triangles (n) \\ 1 & 1 \\ 2 & 3 \\ 3 & 5 \\ 4 & 7 \\\end{tabular}\end{center}[/tex]

i.e. when term number, t = 1, number of triangles (n) = 1

when term number, t = 2, number of triangles (n) = 3

when term number, t = 3, number of triangles (n) = 5

when term number, t = 4, number of triangles (n) = 7

If we closely look at the pattern, number of triangles (n) in each row are 1 lesser than twice of term number (t).

i.e. for [tex]t=1, n = 2\times 1 -1=1[/tex]

[tex]t=2, n = 2\times 2 -1=3[/tex]

[tex]t=3, n = 2\times 3 -1=5[/tex]

[tex]t=4, n = 2\times 4 -1=7[/tex]

Therefore, the number of triangles in the nth term will be given as:

[tex]\bold{n =2t-1}[/tex]

Answer:

an = 2t -1

Step-by-step explanation:

We are adding 2 each time

1+2 =3

3+2 = 5

5+2 = 7

an is the nth term in the sequence  and t is the number of triangle

an =1+ 2(t-1)

Distribute

an = 1 +2t -2

an = 2t -1

STUCK Basic geometry A for senior year school

Answers

Answer:

(C) A reflection across a horizontal line and a horizontal translation

Step-by-step explanation:

We can see that, near the x-axis, these shapes are 3 y values away from the x-axis, meaning that if we reflect one over the x-axis we will be at the same y values as the other shape.

Reflecting these points shows that we’ve got the same shape, just skewed the one side. We can then translate this shape horizontally to get it to where we want it.

Hope this helped!

What is the solution to this ?

Answers

Answer:

[tex]\boxed{\sf C. \ x\geq -4}[/tex]

Step-by-step explanation:

[tex]-8x+4\leq 36[/tex]

[tex]\sf Subtract \ 4 \ from \ both \ sides.[/tex]

[tex]-8x+4-4 \leq 36-4[/tex]

[tex]-8x\leq 32[/tex]

[tex]\sf Divide \ both \ sides \ by \ -8.[/tex]

[tex]\frac{-8x}{-8} \leq \frac{32}{-8}[/tex]

[tex]x\geq -4[/tex]

If you roll 2 dice, what is the probability the sum is a 4, 7 or 10?

Answers

Answer:

4=3

7=6

10=3

Step-by-step explanation:

P4= (3,1), (1,3), (2,2)

P7= (6,1), (4,3), (5,2), (3,4), (2,5), (1,6)

P10= (5,5), ( 6,4), (4,6)

Write 11 numbers in a row so that the sum of any 3 consecutive numbers is negative, while the sum of all the numbers is positive.

Answers

Answer:

Step-by-step explanation:

Hello, if I take the following

2, 2, -5, 2, 2, -5, 2, 2, -5, 2, 2

The sum is 8*2-5*3=16-15=1 > 0

and

2 + 2 -5 < 0

2 - 5 + 2 < 0

-5 + 2 + 2 < 0

2 + 2 -5 < 0

2 - 5 + 2 < 0

-5 + 2 + 2 < 0

2 + 2 -5 < 0

2 - 5 + 2 < 0

-5 + 2 + 2 < 0

2 + 2 -5 < 0

2 - 5 + 2 < 0

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

A jar of honey is $2.40. How much do 4 jars of honey cost

Answers

Answer:

It would cost you 9.6 dollar .

I hope it is helpful mark me as brainlest and follow me for more good answer plz♥️♥️

$2.40 x 4: $9.60

Proof:

i will rate you branliest

Answers

Answer:

a₃ = 9

Step-by-step explanation:

The numbers in the set are referred to as { a₁, a₂, a₃, ... }

Answer:

a3 = 9 is the answer to this question
Other Questions
hdndnndndndndnndndndndnbd Marco travels often and does not have consistent wireless Internet service. He frequently uses his mobile phone service to provide Internet access to his tablet.Which network type is Marco using?LANPANWANMAN WILL GIVE BRAINLIEST!!!Help Someone please!! Given the following perfect square trinomial, find the missing term: 4x2 + ___x + 49 7 14 28 36 What are the points of comparison used to compare the House of Representatives and the senate? Tick (3) the correct statement about electrostatic charges.(a) Earthing causes positive charges to flow from the object to the ground.(b) Similar types of electric charges attract one another.(c) An electroscope is used to determine the presence of electrostatic charges. You perform a doubleslit experiment in order to measure the wavelength of the new laser that you received for your birthday. You set your slit spacing at 1.11 mm and place your screen 8.63 m from the slits. Then, you illuminate the slits with your new toy and find on the screen that the tenth bright fringe is 4.71 cm away from the central bright fringe (counted as the zeroth bright fringe). What is your laser's wavelength lambda expressed in nanometers? If you invest $ 30 , 700 with an annual interest rate of 8.9 % , compounded daily, how much would you have at the end of 4 years? Question 8True or False?: Voice classifications are strict and must be followed at all times. There willnever be a point where someone will change different voice classifications.O TrueO False Can you help Jorge organize the results into a two-way frequency table? Please answer this ASAP What are three different types of electromagnetic radiation that you use in your everyday life? Be sure to identify the source of the radiation as well as the type of electromagnetic radiation that is used. The spread of AIDS in small-scale societies is often attributed to witchcraft and sorcery because: Select one: a. AIDS is a poorly understood disease of which there is no clear cause in the minds of the people b. modern medicine is relatively ineffective in treating AIDS c. AIDS appears to strike random, especially among the poor d. all of the above x+2y=9 and x=2y+1helppppppppppppppppp meeeeereeer What is the best definition of wind energy? A. Using living organisms for energy B. Using motion of water for energy C. Using energy from moving air It 2003 - 2021 Acellus Corporation. literacy is prerequisite of devlopment. justify with examples On February 1, 2020, Pat Weaver Inc. (PWI) issued 9%, $1,200,000 bonds for $1,500,000. PWI retired all of these bonds on January 1, 2021, at 105. Unamortized bond premium on that date was $126,000. How much gain or loss should be recognized on this bond retirement Plsss heeellp . What was ur favorite part of the book the treasure island ? And explain suppose we want to choose 6 letters without replacement from 13 distinct letters. A) how many ways can this be done if order does not matter? B) how many ways can this be done if order of choices matters One type of fabric costs $31.25 for 5 square yards. Another type of fabric costs $71.50 for 11square yards. Is the relationship between the number of square yards and the costproportional between the two types of fabric? Given: f(x) = X2 - 3 and g(x)= x+1 The composite function g.f is a) x + 2x - 2 b) x + 2x c) x - 2 Which of these actions was an economic cause of increased tensions between the North and South? Dred Scott decision Protective tariffs Bleeding Kansas Lincolns election