b. The 100th term of 60, 110, 160, ... is (Simplify your answer.) How to do this?​

Answer:

90 + 2 + 0.007

Answer:

1) 4

2) -11

3) 1

4) -2

Step-by-step explanation:

Answer:

terminating decimal

Step-by-step explanation:

doesn't repeat

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

The answer is:

11

Hopefully this is right

Answer:

11

Step-by-step explanation:

\(4^{2}\)-3*4+7 = 16 -12+7 = 4+7 = 11

Answer:

35:53

3:8

Step-by-step explanation:

what is the prevention of corruption finish give my answer to me

.

a) Paula 2019 Net worth is  $164,510 b) the difference in Paula's net worth, rounded to the nearest whole dollar, is $143,540.

a. To provide Paula with an updated list of her 2019 finances, we need to apply the changes and adjustments mentioned in the description. Let's go through each item:

Income:

- Gross income: Paula believes her gross income will double in 2019, so it will be $68,750 * 2 = $137,500.

- Interest income: Paula expects her interest income to decrease by $145, so it will be $415 - $145 = $270.

Assets:

- Checking account: Paula's checking account will double in value, so it will be $1,970 * 2 = $3,940.

- Savings account: Paula's savings account will also double in value, so it will be $8,650 * 2 = $17,300.

- Automobile: Paula sold her automobile and no longer has it, so the value is $0.

- Personal property: Paula expects her personal property to decrease by one-fourth, so it will be $13,500 - ($13,500 * 1/4) = $10,125.

Expenses:

- Living expenses: Paula plans to reduce her living expenses by one-fourth, so it will be $23,000 - ($23,000 * 1/4) = $17,250.

- Insurance premium: Paula's insurance premium will double, so it will be $290 * 2 = $580.

- Taxes: Paula's taxes will decrease by $240, so it will be $14,900 - $240 = $14,660.

- Medical expenses: Paula's medical costs will increase by $405, so it will be $610 + $405 = $1,015.

- Investment expenses: Paula hopes to cut her investment expenses by one-third, so it will be $3,600 - ($3,600 * 1/3) = $2,400.

Liabilities:

- Note to bank: Paula sent a $375 check to reduce her bank note, so it will be $5,000 - $375 = $4,625.

Now we can calculate the updated net worth for 2019:

Net worth = Assets - Liabilities

2019 Net worth = ($137,500 + $270 + $3,940 + $17,300 + $10,125) - $4,625

2019 Net worth = $169,135 - $4,625

2019 Net worth = $164,510

b. To calculate the difference in Paula's net worth between 2018 and 2019, we can round all the asset and liability values and subtract them:

2018 Net worth = $20,970

2019 Net worth (rounded) = $164,510

Difference = 2019 Net worth (rounded) - 2018 Net worth

Difference = $164,510 - $20,970

Difference = $143,540

Therefore, the difference in Paula's net worth, rounded to the nearest whole dollar, is $143,540.

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Answer:

The surface area of a rectangular prism can be calculated by adding the area of each of its six faces. The formula for the surface area of a rectangular prism with length l, width w, and height h is:

Surface Area = 2lw + 2lh + 2wh

So for a rectangular prism with length 29 inches, width 36 inches, and height 5 inches, the surface area can be calculated as follows:

Surface Area = 2 * 29 * 36 + 2 * 29 * 5 + 2 * 36 * 5

= 2,612 + 290 + 360

= 3,262 square inches

Therefore, the surface area of the rectangular prism is 3,262 square inches.

Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

Answer:

10,000

Step-by-step explanation:

because 10 times 10 is 100 times 100 equals the answer

sry if i get it wrong  have a great day

Answer:

10 to the fourth power 10^4

Step-by-step explanation:

Answer:

64z^2

Step-by-step explanation:

(-8z)^2= 64z^2 because we square -8 and square z

Answer: 2300 kg.

Step-by-step explanation: The size and shape of the boat is irrelevant for this problem.

The mass of the water displaced by the boat is 2300kg.

The law of buoyancy states that buoyancy force on an object is equal to the weight of the fluid displaced by the object.

Buoyant force = weight of the fluid displaced by the object

The buoyant force acting on motorbot

= density of water(d) * gravitational acceleration(g) * Volume of the water displaced by the object(V)

We know that Buoyant force = weight of the body(motorboat)

\(dgV =2300g\)

\(dV=2300\)

So the mass of the displaced water =2300kg.

Hence, the mass of the water displaced by the boat is 2300kg.

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Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

Answer:

Yes

Step-by-step explanation:

Answer:

Solution given'

<2+90+49=180°[sum of interior angle of a triangle]

<2=180-139

<2=41°

Answer:

The answer is B on edge

Step-by-step explanation:

The velocity vector of the airplane is \(150\sqrt{2}\)mph.

The velocity vector denotes the direction in which the object changes its position with respect to time.

An airplane travels at 300 mph in the direction S 45° E.

The velocity vector is calculated as,

\(\hat{V}\)=V cos 45

Where V is the velocity of the plane travelled that is 300mph.

\(\hat{V}=300*(\frac{1}{\sqrt{2} })\)

   = \(2*150*(\frac{1}{\sqrt{2} } )\)

\(\hat{V}=150\sqrt{2}mph.\)

Hence, the velocity vector of the airplane is \(150\sqrt{2}\).

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Answer:

20

Step-by-step explanation:

It seems like the rule of this sequence is to add 5 (since 2 + 5 = 7 and 7 + 5 = 12). We already are given that we have 2 2-digit numbers (12 and 17) so let's see if there are any more. The sequence continues to 22, 27, 32, 37, 42, 47, ..., 92, 97. We need to count how many numbers are in the list 12, 17 ... 92, 97. To do this, let's add 3 to every term in the list to get 15, 20, ... 95, 100. Since the list is now full of multiples of 5 we can divide the list by 5 to get 3, 4, ... 19, 20 and then subtract 2 to get 1, 2, ... 17, 18 which means that there are 18 2-digit numbers.

Answer:

62 c

-3x

-13x are the answer

Answer:

hi

Step-by-step explanation:

-10c + 40c + 32c =62c

2x+(-5x)= -3x

-23x+10x= -13x

hope it helps

have a nice day

Answer:

4

Step-by-step explanation:

it dropped 4 from yesterday. if it was 4 yesterday than its 0 today so 4 is correct

It would take 18 days for 4 workers to complete the job.

Step-by-step explanation:

As d goes up, w goes down by the same amount.

X = 9*8 = 72

18*4 = 72

likewise, 2*36 = 72

3*24 = 72

6*12 = 72

And so on....

The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

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Step-by-step explanation:

420x1800=756000

so it sold 756k items in 30 minutes

Answer:

4(x + 12)

Step-by-step explanation:

The sum of a number and 12 indicates addition. Then, it says that this sum will be multiplied by 4. So, we can use x to represent this random number.

The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.

It follows that the magnitude of a vector in terms of its components in the i and j direction is;

M = √(x² + y²).

On this note, since the i and j components are equal; x = y and hence, we have;

3 = √(x² + x²).

3² = 2x²

x² = 9/2

x = 3/√2

x = 3√2/2

On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.

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Answer:

94.85 rounded to the nearest tenth is 94.9