Evaluate each series.
50 points and brainless!

Answer:

radius = 14.5 feet

Step-by-step explanation:

91.06 / 3.14 = diameter = 29

radius = 29/2 = 14.5 feet

Answer:

[tex]3\frac{3}{49}[/tex]

Step-by-step explanation:

This one is pretty simple. 50 fits into 150 perfectly 3 times. If we take one out of the denominator, we must add one to the numerator after every whole number being taken out of the fraction and put in the ones spot.

Answer:

You have to find how many times 49 can fit into 150 and then that number is the whole and the remaining will be the numerator and 49 will stay as the denominator.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Ed2021

The series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.

Which geometric series converges is determined from the options below

a. 1/6+1/6+1/6+1/6    b. 1/6+2/6+4/6+8/6   c. 6+12+24+48  d. 6+2+6/9+6/27.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Options A B and C have been omitted because the series given in the corresponding option has the increasing order. Option D has a decreasing order with the common ratio between the preceeding values of the series being 1/3. Thus option D is the correct option.

Thus, the series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.

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Answer:

part 1. -1 1/2

part 2. On letter A

Explanation:

D=0

B=-1

C=-1/2

-1 + -1/2= -1 1/2

Answer:

-1 1/2

Step-by-step explanation:

B is -1

C is -1/2

D is 0

-1 + (-1/2) = -1 1/2

Answer:

x=4

Step-by-step explanation:

x=4

Step-by-step explanation:

first subtract 4 from both sides of the equation 2x+4-4=12-4

simplify 2x=8

divide both sides of the equation by the same term

2x=8

2 2

cancel the terms that are in the numerator and denominator then decide the numbers

x=4

72 / 8 - 2 x 3 + 1 equals 1

(72 / 8) - 2 x 3 + 1 equals 4

72 / (8 - 2) x 3 + 1 equals 37

72 / (8 - 2) x (3 + 1) equals 48

Following Add-On Contains the content I think your doing:

The expressions are arranged in ascending order will be 72÷8−2×(3 + 1) > (72÷8)−2×3+1 > 72÷(8−2)×3+1 > 72÷(8−2)×(3+1).

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The expressions are given below:

72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)

Simplify the expression, then we have

72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)

9−2×4, 9−6+1, (72÷6)×3+1, (72÷6)×4

1, 2, 37, 48

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Answer:

this whole sentence confused me a lot

Step-by-step explanation:

yes there is, but it depends on how you want to do it

Answer:

I don't really get what you're implying can you please explain?

Step-by-step explanation:

haha this just really confused me :)

Answer:

401.92

Step-by-step explanation:

[tex]volume=\pi r^{2} h[/tex]

3.14 x (4x4) x 8 = 401.92

Answer:

A

Step-by-step explanation:

Answer:

its d , Late payment interest

Step-by-step explanation:

Answer:

9/22

Step-by-step explanation:

= 1 /2 − 1 /11

= 1 /2 + −1 /11

= 11 /22 + −2 /22

= 11+−2 /22

= 9 /22

(Decimal: 0.409091)

Answer:

9/22

Step-by-step explanation:

multiply 1 by 11, and get 11

multiply 1 by 2, and get 2.

Next we give both terms new denominators -- 2 × 11 = 22

11 − 2 = 9

Answer:

4 x 10^12

Step-by-step explanation:

Just subtracte the power since it is division

8- (-4)=12

Answer:

28.3 (b)

Step-by-step explanation:

To solve circumference, you will need to use the equation C = 2 *pi* r

for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it

C= 2 pi (4.5)             Solve 2*4.5

C= 9 pi                     Now we input 3.14 for pi and multiply

C= 9(3.14)

C= 28.26                  Now we round to the nearest tenth to get

C=28.3

Answer:

$68

Step-by-step explanation:

=> 20% 0f 340

=> (20/100) * 340

=> (1/5) * 340

=> (340/5) = 68

Sarah spends $68 dollar on transportation.

Thenks and mark me brainliest :)

Answer:

I think its

ai. fx-f3

ii. 5gx

Answer:

C. -1

Step-by-step explanation:

I calculated it logically

Answer:

-1

Step-by-step explanation:

cos = opp/hyp

At 180º

adj  = -1

hyp = 1

Cos 180 = -1/1 = -1

Answer:

hold on ill edit this once i get answer!! <3

Step-by-step explanation:

Answer:

82' is the write answer

and like the answer and follow me

Answer:

[tex]x = 73.74[/tex]°.

Step-by-step explanation:

In order to find the angle measure of [tex]x[/tex], you can use the trigonometric function sine to calculate the value of it. Sine is a trigonometric function used in right triangles to solve for the sides and angles, it states that the sine of an angle is equal to the side opposite to it divided by the hypotenuse. In this case, [tex]sin(x)=\frac{48}{50}[/tex]. If you want to isolate the variable [tex]x[/tex] on one side to calculate its value, take the [tex]sin^{-1}[/tex] or arcsine of both sides. [tex]arcsin(sin(x))=arcsin(\frac{48}{50})[/tex] ⇒ [tex]x = arcsin(\frac{48}{50})[/tex] ⇒ [tex]x[/tex] ≈ 73.74°, so that would be the correct answer.

Answer:

[tex]Width = 4ft[/tex]

[tex]Height = 4ft[/tex]

[tex]Length = 8ft[/tex]

Step-by-step explanation:

Given

[tex]Volume = 128ft^3[/tex]

[tex]L = 2W[/tex]

[tex]Base\ Cost = \$9/ft^2[/tex]

[tex]Sides\ Cost = \$6/ft^2[/tex]

Required

The dimension that minimizes the cost

The volume is:

[tex]Volume = LWH[/tex]

This gives:

[tex]128 = LWH[/tex]

Substitute [tex]L = 2W[/tex]

[tex]128 = 2W * WH[/tex]

[tex]128 = 2W^2H[/tex]

Make H the subject

[tex]H = \frac{128}{2W^2}[/tex]

[tex]H = \frac{64}{W^2}[/tex]

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

[tex]A = LW + 2(WH + LH)[/tex]

The cost is:

[tex]Cost = 9 * LW + 6 * 2(WH + LH)[/tex]

[tex]Cost = 9 * LW + 12(WH + LH)[/tex]

[tex]Cost = 9 * LW + 12H(W + L)[/tex]

Substitute: [tex]H = \frac{64}{W^2}[/tex] and [tex]L = 2W[/tex]

[tex]Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)[/tex]

[tex]Cost =18W^2 + \frac{768}{W^2}*3W[/tex]

[tex]Cost =18W^2 + \frac{2304}{W}[/tex]

To minimize the cost, we differentiate

[tex]C' =2*18W + -1 * 2304W^{-2}[/tex]

Then set to 0

[tex]2*18W + -1 * 2304W^{-2} =0[/tex]

[tex]36W - 2304W^{-2} =0[/tex]

Rewrite as:

[tex]36W = 2304W^{-2}[/tex]

Divide both sides by W

[tex]36 = 2304W^{-3}[/tex]

Rewrite as:

[tex]36 = \frac{2304}{W^3}[/tex]

Solve for [tex]W^3[/tex]

[tex]W^3 = \frac{2304}{36}[/tex]

[tex]W^3 = 64[/tex]

Take cube roots

[tex]W = 4[/tex]

Recall that:

[tex]L = 2W[/tex]

[tex]L = 2 * 4[/tex]

[tex]L = 8[/tex]

[tex]H = \frac{64}{W^2}[/tex]

[tex]H = \frac{64}{4^2}[/tex]

[tex]H = \frac{64}{16}[/tex]

[tex]H = 4[/tex]

Hence, the dimension that minimizes the cost is:

[tex]Width = 4ft[/tex]

[tex]Height = 4ft[/tex]

[tex]Length = 8ft[/tex]

0.005m

Measuring properties of a given entity is always prone to error and hence leads to inaccuracy in the resulting measurement. One of such errors is the absolute error.

Absolute error is the difference between the actual/exact value and measured value.

The classroom has been measured to have a perimeter of 62.25m. This shows that it is accurate to 0.01 of a meter. This means that the actual measurement of the classroom could either be 0.005m more or less than the measured value.

In other words, the actual value of the classroom is

62.25 ± 0.005 m

This difference of 0.005 m gives the absolute error.

Answer:

It would take 4 years. The formula for continuously compounded interest is: where P is the principal, r is the interest rate as a decimal number, and t is the number of years.

Step-by-step explanation:

You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. after 11 years your balance first exceed $1200.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

You deposit $800 in an account that pays 3.6% annual interest compounded quarterly.

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

[tex]1200 = 800(1 + \dfrac{3.6}{4})^{4t}\\\\300 = (1 + 0.9)^{4t}\\\\t = 11.4[/tex]

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Answer:

80 cups

Step-by-step explanation:

1 gallon = 128 oz

5x128= 640 oz

640/8=80

Answer:

A one-sided, two-sample t-test

Step-by-step explanation:

In the context, the values of the population standard deviations are not provided, therefore we have to use the two sample t tests for the difference between the two population means. This claim for the hypothesis or the alternative hypothesis is given as the average selling price is more for the first group of the sample size of 21 as compared to the other group of the sample size of 87. Therefore, we perform an one sided test or the upper tailed test.

Answer:

B

Step-by-step explanation:

Answer:

8 - 12 = -4

Step-by-step explanation:

Answer:

8.

10x-1=14x-37[corresponding side of congruent triangle are equal]

37-1=14x-10x

36=4x

x=36/4

x=9

9.

6x+13=16x-7[corresponding angle of congruent triangle are equal]

13+7=16x-6x

10x=20

x=20/10

x=2

10.

8x-27=4x+33

8x-4x=33+27

4x=60

x=60/4

x=15

PQ=8×15-27=93

11.3x+5=12x-13

13+5=12x-3x

9x=18

x=18/9=2

now

<BDC=12×2-13=11

12.

5x-8=9x-28

28-8=9x-5x

4x=20

x=20/4

x=5

now

<YWX=5x-8+9x-28=5×5-8+9×5-28=34

13..5x-4=2x+5

5x-2x=5+4

3x=9

x=9/3=3

now

ML=5×3-4=11

ML=11

From new question.

Answer:

[tex]2x + 15 + x = 171 \\ 3x = 171 - 15 \\ 3x = 156 \\ \frac{3x}{3} = \frac{156}{3} \\ x = 52[/tex]

Step-by-step explanation:

i hope this is helpful

Answer:

answer is given in up paper. where ans is -1/2

Answer:

Solution given:

height[p]=20m

angle of depression [a]=25°

base[b]=?

we have

Tan a=p/b

tan 25=20/b

b=20/tan25

b=42.89 or 43

the tower is 43m far from the vehicle .