Find the sum of the first 45 terms of the following series, to the nearest integer. 9 + 13 + 17 ...​

Answer:

x = 3

Step-by-step explanation:

6(x+1) = 24

x+1 = 4

x = 3

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

x = 3

Step-by-step explanation:

Math solution to equation

6(x + 1) = 24

Divide both sides by 6

x + 1 = 4

Subtract 1 from both sides

x = 3

Answer:

Step-by-step explanation:

Segments AB and BC intersect each other at 90° at B.

Let the equation of the segment AB → y = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of the line AB passing through A(14, -1) and B(2, 1)

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

          = [tex]\frac{1+1}{2-14}[/tex]

          = [tex]-\frac{2}{12}[/tex]

          = [tex]-\frac{1}{6}[/tex]

Equation of the line will be,

[tex]y=-\frac{1}{6}(x)+b[/tex]

Since, AB passes through (2, 1)

[tex]1=-\frac{1}{6}(2)+b[/tex]

[tex]b=1+\frac{1}{3}[/tex]

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

Therefore, y-intercept of AB = [tex]\frac{4}{3}[/tex]

Equation of AB → [tex]y=-\frac{1}{6}(x)+\frac{4}{3}[/tex]

Since, line BC is perpendicular to AB,

By the property of perpendicular lines,

[tex]m_1\times m_2=-1[/tex]

Here, [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of line AB and BC respectively.

By this property,

[tex]-\frac{1}{6}\times m_2=-1[/tex]

[tex]m_2=6[/tex]

Equation of a line passing through a point (h, k) and slope 'm' is,

(y - k) = m(x - h)

Therefore, equation of line BC passing through B(2, 1) and slope = 6,

y - 1 = 6(x - 2)

y = 6x - 11

Since, line BC passes through C(x, 13),

13 = 6x - 11

6x = 24

x = 4

Therefore, x-coordinate of point C will be, x = 4

I think that the answer is A.

Answer:

You need to have 538 people in your study.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.94}{2} = 0.03[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.03 = 0.97[/tex], so Z = 1.88.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

You practiced on the people at work and found a standard deviation of about 0.37 seconds.

This means that [tex]\sigma = 0.37[/tex]

You want to get a 94% confidence interval that is only 0.06 in width.

This means that [tex]M = \frac{0.06}{2} = 0.03[/tex]

How many people do you need to have in your study?

This is n for which M = 0.03. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.03 = 1.88\frac{0.37}{\sqrt{n}}[/tex]

[tex]0.03\sqrt{n} = 1.88*0.37[/tex]

[tex]\sqrt{n} = \frac{1.88*0.37}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.88*0.37}{0.03})^2[/tex]

[tex]n = 537.6[/tex]

Rounding up:

You need to have 538 people in your study.

Answer:

[tex]Total = 38^7[/tex]

Step-by-step explanation:

Given

[tex]Plate\ Number = 7\ characters[/tex]

[tex]Letters \to 26[/tex] [tex]\to [A- Z][/tex]

[tex]Numbers \to 10[/tex] [tex]\to [0 - 9][/tex]

[tex]Dash \to 1[/tex] [tex]\to [ - ][/tex]

[tex]Ampersand \to 1[/tex] [tex]\to [\&][/tex]

Required

Number of possible characters

Since the order and ways of selecting each character is not selected, then it means that any of the permissible character can occupy any of the 7 available spaces, with repetition.

The total possible characters (n) is:

[tex]n = 26 +10 + 1 + 1[/tex]

[tex]n = 38[/tex]

Any of the 38 characters can occupy any of the 7 spaces.

Hence, the total number of character is:

[tex]Total = n^7[/tex]

[tex]Total = 38^7[/tex]

Answer: (2,8)

Step-by-step explanation:

The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.

Answer:

18.7

Step-by-step explanation:

Use the Pythagorean Theorem.

Simplify.

Simplify.

Square root both sides

Simplify. Ignore negative root, as length must be positive.

Round to the nearest tenth.

Answer:18.7

Step-by-step explanation:

Answer:

1137004: A new car is purchased for 17000 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 12 years?

Step-by-step explanation:

Answer:

180 i think

Step-by-step explanation:

Answer:

their is 50 ways.......

The possible combination, 252 ways you can pack shirts for a trip.

Mathematical calculations are used to determine the number of different configurations for a given set, and this procedure is referred to as permutation. A permutation is a phrase that, simply put, refers to the diversity of alternative configurations or ordering. When employing permutations, the sequence of the arrangement is crucial.

Formula for combination is

n!/(r! x (n-r)!),

where n is a number of shirts and r is the shirts selected.

In combination,

order doesn’t matter, as opposed to permutation.

According to the question,

n = 10 and r = 5

Then substituting the above values to the formula,

that means,

10! / ( 5! x 5!)

= 10x9x8x7x6 / ( 5x4x3x2x1)

= 252

Therefore, You can pack 5 shirts in 252 ways.

To learn more about the permutation;

https://brainly.com/question/1216161

#SPJ2

Answer:

B would be your Answer

Step-by-step explanation:

There are three 2s, one 2 1/4, three 2 1/2, two 2 3/4, and one 3 (which is all displayed on B).

Hope this helped :)

Answer:

m∠ = 90° - 40 = 50°

m∠ = 90° - 35 = 55°

m∠ = 90° - 30 = 60°

m∠ = 90° - 55 = 35°

Answer:

35 Degrees

Step-by-step explanation:

Answer:

80 grams of plastic

Step-by-step explanation:

5 model cars -- 50 grams

1 model car -- (50/5) = 10 grams

8 model cars -- (10 * 8) = 80 grams

Thenks and mark me brainliest :)))

Answer:

15.0

Step-by-step explanation:

we are finidng the adjacent angle, they have given us the opposite and the missing adjacent side so we use tan

tan25=7/x

since x is at the bottom then switch

x= 7/tan25

x= 15. 012

Answer:

x = 15.01

Step-by-step explanation:

Given degrees 25

Since x is between the right angle and 25, x is adjacent

7 being the other shortest side would be the opposite

Given adjacent and opposite, you can use tangent

Tangent = opposite/adjacent

Tan(25) = 7/x

0.4663076582 = 7/x

x = 7/0.4663076582 (use calculator)

Solution: x = 15.0115484421

3/12 is equivalent to 1/4 because 1 x 3 = 3 and 4 x 3 = 12. 4/16 is equivalent to 1/4 because 1 x 3 = 4 and 4 x 3 = 16. and so on ... Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value.

Answer:

0.164

Step-by-step explanation:

delta math said so but

n=7 ; r=5; p=1/2

q= 1- 1/2 = 1/2

7c5(1/2)^5 (1/2)^2 = 0.16406 which is 0.164

Answer:

6785.84

Step-by-step explanation:

Answer:

x = 51

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Which means that 77 + 107 + 156 + 149 + x = 540

                                    ^ ( note that we just created an equation that we can      

                                        use to solve for x )

We then solve for x using that equation

77 + 107 + 156 + 149 + x = 540  

step 1 combine like terms

77 + 107 + 156 + 149 = 489

we now have 489 + x = 540

step 2 subtract 489 from each side

489 - 489 cancels out

540 - 489 = 51

we're left with x = 51

Answer:

Step-by-step explanation:

Whether you’re job searching, working on your professional development, or building your career, you’ve probably been in a situation that warranted showing appreciation and gratitude. Perhaps you received a job lead and a pep talk from a former colleague. Maybe you had an informational interview with someone who has now taken you under their wing and is serving as a mentor. It might even be a family member who’s your greatest fan. Whatever the situation, one way to show gratitude is to write a thank-you note that expresses your appreciation.

Answer:

if the sides are 2, 3, 4.2, 2.6 then the perimeter is 11.8

Step-by-step explanation:

just add them together

Answer:

5.5

Step-by-step explanation:

We have a list of 10 numbers (n = 10) ordered from lower to higher.

1 2 3 4 5 6 7 8 9 10

The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,

median = 5 + 6 / 2 = 5.5

Answer:

x = {-4, -1/2}

Step-by-step explanation:

2x² + 9x + 4 = 0

Factor

(2x + 1)(x + 4) = 0

2x + 1 = 0

x = -1/2

x + 4 = 0

x = -4

x = {-4, -1/2}

Answer:

what are you trying to do or say

corresponding angle because 1 is correspondence to 45 degree

Answer:

[tex]Volume=80\pi[/tex] [tex]units^{2}[/tex]

Step-by-step explanation:

Perpendicular height of the base of cylinder h = 5 units

Slant height I = 6 units

Radius of the cylinder r = 4 units

Volume of the lateral cylinder is

[tex]V = \pi r^{2} h[/tex]-----------(1)

Where r is radius of the cylinder

And h is perpendicular height of the base of cylinder.

Now, we substitute r and h value in equation 1.

[tex]V=\pi[/tex] × [tex]4^{2}[/tex] × [tex]5[/tex]

[tex]V=\pi[/tex] × [tex]16[/tex] x [tex]5[/tex]

[tex]V=\pi[/tex] × [tex]80[/tex]

[tex]V=80\pi[/tex] [tex]units^{2}[/tex]

Therefore, the volume of the given cylinder is [tex]80\pi[/tex] [tex]units^2[/tex].

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

or

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

or

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

or

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

hahahaha i had this same question in my grade