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Answer:

b = 29

Step-by-step explanation:

C x D = A x B

15(11x - 91) = 7(2x + 10)

165x - 1365 = 14x + 70

add 1365 to both sides of the equation:

165x = 14x + 1435

subtract 14x from both sides:

151x = 1435

divide both sides by 151:

x = 9.5

b = 2(9.5) + 10 = 29

Answer:

Is it 57?

Step-by-step explanation:

Answer:

(8*6*8)÷2=192ft^3

Step-by-step explanation:

find the volume like you would a rectangular cube and then devide it in half. so L*H*W/2

Answer:

W = 6

L = 36

Step-by-step explanation:

2L + 2W = 84

L = 6W

Substitute for L in the first equation

2 (6W) + 2W = 84

12W + 2W = 84

14W = 84

W = 6

Substitute W in the first equation

2L + 2(6) = 84

2L + 12 = 84

2L = 72

L = 36

Plug both values in both equations to be sure

2(36) + 2(6) = 84

36 = 6 * 6

Hope that helps!

Answer: B

The series converges because it has a sum of 4.

Step-by-step explanation:

The convergence or divergence of a series depends on the sum of the series and its common ratio. The series converges because its sum is b

The series is given as:

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n[/tex]

A geometric series is given as:

[tex]T_n = ar^{n-1}[/tex]

So, we rewrite the series as follows:

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n[/tex]

Apply law of indices

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^{n-1} \times (\frac{2}{3})[/tex]

Rewrite

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 \times (\frac{2}{3})(\frac{2}{3})^{n-1}[/tex]

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} \frac{4}{3}(\frac{2}{3})^{n-1}[/tex]

So, we have:

[tex]T_n = \frac{4}{3}(\frac{2}{3})^{n-1}[/tex]

Compare the above series to: [tex]T_n = ar^{n-1}[/tex]

[tex]a = \frac{4}{3}[/tex]

[tex]r = \frac{2}{3}[/tex]

The sum of the series to infinity is:

[tex]S_{\infty} = \frac{a}{1 - r}[/tex]

So:

[tex]S_{\infty} = \frac{4/3}{1 - 2/3}[/tex]

[tex]S_{\infty} = \frac{4/3}{1/3}[/tex]

[tex]S_{\infty} = 4[/tex]

i.e. [tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = 4[/tex]

Also:

The common ratio (r)

[tex]r = \frac{2}{3}[/tex]

[tex]r = \frac{2}{3}[/tex] [tex]< 1[/tex]

When common ratio is less than 1, then such series is convergent.

Hence, (b) is true because it has a sum of 4

Read more about series at:

https://brainly.com/question/10813422

Answer:

0.21333333333 or 2 21/40

Step-by-step explanation:

2/5+17/8

=2/5*8/8+17/8*5/5

=16/40+85/40

=16+85/40

=101/40= 2 21/40

you can also use this link for any other problems like this

https://www.calculator.net/fraction-calculator.html?t1=2&op=%2B&t2=17&b1=5&b2=8&ctype=1&x=100&y=24

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

280cm

Step-by-step explanation:

Given data

Robound= 70%

Initial height= 400cm

Let us calculate the final height after the rebound

=70/100*400

=0.7*400

=280cm

Hence the new height after the rebound is

280cm

Answer:

I did the first one

Step-by-step explanation:

Hope I did it right

Answer:

The area between z = 1.74 and z = 1.25 is of 0.065.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.

The area between z = 1.74 and z = 1.25.

This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.

z = 1.74 has a pvalue of 0.959

z = 1.25 has a pvalue of 0.894

0.959 - 0.894 = 0.065

The area between z = 1.74 and z = 1.25 is of 0.065.

Answer:

The Diplodocus was 744 in longer than the Triceratops.

Step-by-step explanation:

90 ft = 90 * 12 = 1080 in

28 ft = 28 * 12 = 336

1080 in - 336 in = 744 in

Answer:

(250+250+130+130)*30=22,800

Answer:

Ehhh waht ??im 10 jears old!

Step-by-step explanation:

Hahah

Answer:

(a) 3628800 ways

(b) 17280 ways

(c) 120960 ways

Step-by-step explanation:

Given

[tex]Novels = 5[/tex]

[tex]Maths = 4[/tex]

[tex]Biology = 1[/tex]

[tex]Total = 10[/tex]

Solving (a): Arrangement with no restriction.

We simply count each book with no restriction. i.e. 10 books

So, the number of arrangement is:

[tex]Arrangement =10![/tex]

[tex]Arrangement =10*9*8*7*6*5*4*3*2*1[/tex]

[tex]Arrangement =3628800[/tex]

Solving (b): Maths book together and Novels together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, arrange the 5 novels as:

[tex]Novels = 5![/tex]

Lastly, take the 4 maths book as [1], the 5 novels as [1] and the remaining [1] biology book.

So, we have: 3 books

Arrange 3 books, we have:

[tex]Books = 3![/tex]

Total arrangement is:

[tex]Total = 4! * 5! * 3![/tex]

[tex]Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1[/tex]

[tex]Total = 17280[/tex]

Solving (c): Maths book together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, take the 4 maths book as [1], then the remaining 6 books (i.e. 5 novels and 1 biology)

So, we have: 7 books

Arrange 7 books, we have:

[tex]Books = 7![/tex]

Total arrangement is:

[tex]Total = 4! * 7![/tex]

[tex]Total = 4*3*2*1 * 7*6*5*4*3*2*1[/tex]

[tex]Total = 120960[/tex]

Answer:

the one in black

Step-by-step explanation:

Answer:

length = 8; width = 3

perimeter = 22

area = 24

Step-by-step explanation:

L(- 1,3), M(2,3)

LM = |-1 - 2| = 3

M(2,3), N(2, - 5)

MN = |-5 - 3| = 8

length = 8; width = 3

perimeter = 2(L + W) = 2(8 + 3) = 22

area = LW = 8 × 3 = 24

Answer:

x = 7

Step-by-step explanation:

We need to find the value of x in the given figure. It can be calculated using ratio.

We know that,

4+3 = 7

Taking ratios,

[tex]\dfrac{7}{3}=\dfrac{14}{x-1}[/tex]

or

[tex]\dfrac{1}{3}=\dfrac{2}{x-1}\\\\x-1=6\\\\x=6+1\\\\x=7[/tex]

So, the value of x is equal to 7.

Answer: Ok Good luck other contestant.

Answer:

10

Step-by-step explanation:

Rearrange in order, 5, 5, 8, 10, 11, 17, 21 and the median would be 10.

Answer:

I would day option B does

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

I can't answer this sorry dude and next time show us the picture so that we can understand

Answer: That is right

Step-by-step explanation:

Answer:

Step-by-step explanation:

This appears to be a scalene triangle. Therefore, it is a triangle, not regular. This is because scalene triangles have measures that are different on all sides and angles. Therefore, it is irregular.

Answer:

area? is that what u need? or perimeter

Step-by-step explanation:

Answer:

B is the true statement

Step-by-step explanation:

A

We can see from the graph that the highest point occurs when the height in feet is 19.4, so statement A is untrue.

B

We can see from the graph that the highest point occurs after 12 seconds of flight, so statement B is true.

C

If the projectile were launched from the ground, when t=0, h=0, but since when t=0, h=5, we can see it was launched 5ft from the ground, so statement C is untrue.

D

On the interval 5<t<12, the altitude is indeed increasing, but after t=12, the projectile begins to fall and the altitude decreases, so statement D is untrue.

Answer: c. On average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score

Step-by-step explanation:

Given that:

Slope value = 0.91857341

The dependent and independent variables are ;

Dependent Variable: Geometry

Independent Variable: Chemistry

Slope is the rate of change in the dependent variable per unit change in the independent variable.

Hence, from the information given, we can conclude that for every 1% change in chemistry score (independent variable), there is a corresponding approximately 0.919% change in geometry score (dependent variable).

From the given data it can be concluded that on average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score. Hence option c) is correct.

Given :

Given the simple linear regression results that are:

The Dependent variable is Geometry.

The Independent variable is Chemistry.

Geometry = 3.6276926+0.91857341[tex]\times[/tex]Chemistry

Comparing the above equation with the slope-intercept form which is given by:

y = mx + c

Therefore, slope, m = 0.91857341.

It is also given that:

Sample size is 400

R2= 0.55808158

Estimate of error standard deviation: 9.417521

From the given data it can be concluded that on average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score. Hence option c) is correct.

For more information, refer to the link given below:

https://brainly.com/question/12402189