A scale drawing of a building needs to be made using the scale 1 in=260 ft. How tall will the building in the scale drawing be if the building is 2860 ft​ tall?

Answer:

let x represent the number tickets

number of ticket=6

cost of the travelling insurance per ticket =$18

total cost= $1056

(x+x+x+x+x+x+18)= $1,056

6x + 18 = $1,056

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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Answer:

Which statement represents the expression?

24−8÷4

A. 24 minus 8 divided by 4

B. the difference of 24 and 8 divided by 4

C. 24 minus the quotient of 8 divided by 4

D. 24 minus 4 divided by 8

The answer is a. 24 minus 8 divided by 4

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Answer:

-25.6

Step-by-step explanation:

Answer:

If 22 is an option, go with it. I am pretty certain it is correct.

Step-by-step explanation:

Find pie for both circles

13 x pie = 40.8

6 x pie = 18.8

40.8 - 18.8 = 22

Answer:

HT = 17

<T = 62°

<H = 28°

Step-by-step explanation:

1. Use the Pythagorean Theorem to find the length of the missing side.

a² + b² = c²

15² + 8² = c²

225 + 64 = c²

289 = c²

√289 = c

c = 17

The length of side HT is 17.

2. Use SOHCAHTOA to find the measure of <T. Since we know the measure of two sides, opposite (15) and adjacent (8), use the formula for tangent as tangent is opposite/adjacent.

Tangent = \(\frac{opposite}{adjacent}\)  = \(\frac{15}{8}\) = 1.875

Use the tan⁻¹ button on the calculator to find the value for <T.

tan⁻¹(1.875) = 61.9°

<T = 62°

3. To find the measure of <H, you can either add up the two angles and subtract from 180° or use SOHCAHTOA.

90° + 61.9° + x = 180°

151.9° + x = 180°

x = 28°

or

We know two sides: opposite (8) and adjacent (15). So, we will use tangent.

Tangent = \(\frac{opposite}{adjacent}\) =  \(\frac{8}{15}\) = 0.5333333333

Take the tan⁻¹ to get the measure of <H.

tan⁻¹(0.5333333333) = 28.07 = 28°

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Answer: 16 ft

Step-by-step explanation: The ratio given is 2ft=1in, therefore 2ft/1in=1. Multiplying anything by 1 equals itself, so multiplying 8in*(2ft/1in)=16ft where the number of inches cancel out.

Answer:

D - 45

Step-by-step explanation:

add all the numbers bow to get 110

0.3(150)

Answer:

\(-x^2 +18x -16\)

Step-by-step explanation:

First we must apply the distributive property to expand \((x -4)^2\):

\((x -4)^2 \\ (x -4)(x -4) \\ x(x -4) -4(x -4) \\ x^2 -4x -4x +16 \\ x^2 -8x +16\).

Now we can subtract the result from \(10x\).

\(10x -(x^2 -8x +16) \\ 10x -x^2 +8x -16 \\ -x^2 +10x +8x -16 \\ -x^2 + (10 +8)x -16 \\ -x^2 +18x -16\)

Answer:

9x^2 + 8x - 16

Step-by-step explanation:

Answer:

The company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.

Step-by-step explanation:

Given that a company that manufactures small canoes has a fixed cost of $ 14,000, and it cost $ 40 to produce each canoe while the selling price is $ 80 per canoe, to determine the number of canoes that the company produces and the amount of money it makes after selling them, the following calculation must be carried out:

14/000 / 40 = X

350 = X

350 x 80 = 28,000

Thus, the company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

letter a is the correct answer

Answer:

Graph C

Step-by-step explanation:

Khan

BTW: its 100% correct

Answer:

The answer for this oblique question is 4.375

Step-by-step explanation:

for 35 ÷ 8 = 4.375

Answer:

35/8=4.375

5 tables needed

Step-by-step explanation:

35/8=4.375

you have to round cuz there can't be 0.375% of a student

and there can't be 0.375 of a table...so it's 5 tables

The required next term at the end of the sequence is 43.

Arithmetic progression is the series of numbers that have common differences between adjacent values are equal.

here,
1, 2, 4, 7, 12, 19, 30,
As
the sequence is the prime addition of the number, as.
1,
1 + 1 = 2
2 + 2 = 4,

4 + 3 = 7
7 +  5 = 12
12 + 7 = 19
19 + 11 = 30
30 + 13 = 43

Thus, At the end of the sequence, the required next term is 43.

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Answer: B) Yes, because the x- and y-values are increasing proportionately.

Step-by-step explanation: It’s Option B) because the table represents proportional numbers that are corresponding in size or amount to something else and having a constant ratio to another quantity. This means that each number in each side of the graph are equivalent quantities.

Answer:

24 units

Step-by-step explanation:

6 times 8 =48

48 divided by 1/2 = 24

The population of the animal found in 2006 was 3109.

For the given data in the question.

Population count of animals in 2007 is found as 2817.

The population count in 2007 is less than 292 than the population count in 2006.

Thus,

2007 population = 2006 population - 292.

2006 population = 2007 population + 292

2006 population = 2817 + 292

2006 population = 3109.

Therefore, the population count for the animals in 2006 is found to be 3109.

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Answer:

c. 0.80

Step-by-step explanation:

Probability from relative frequency:

The probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability that the next bus sold will be yellow or green?

250+150+100 = 500 buses sold

Of those, 250+150 = 400 are yellow or green.

400/500 = 0.8

So the correct answer is:

c. 0.80

Answer: d. 83

Step-by-step explanation: 59+ 24 = 83

Answer:

D. 83 degrees

Step-by-step explanation:

Angle WXY is made up of two angles, angle WXD and angle YXD.

Therefore, angle WXY will be equal to the sum of angle WXD and YXD.

So, we can add angles WXD and YXD together to find out what the measure of angle WXY is.

<WXY= <WXD + <YXD

We know that angle WXD is 24 degrees and angle YXD is 59 degrees.

<WXD= 24

<YXD= 59

<WXY= 24+59

Add 24 and 59

<WXY=83

The measure of angle WXY is 83 degrees, so choice D is correct.

Answer:

11 and one-fourth

Step-by-step explanation:

The given expression can be rewritten as:

\((8+\frac{1}{2}) -2+(4+\frac{3}{4})\)

1/2 can be written as 2/4.

Solving the expression grouping integers and fractions:

\((8+\frac{2}{4}) -2+(4+\frac{3}{4}) =\\8+4-2+(\frac{2}{4}+\frac{3}{4}) =\\10+\frac{5}{4}=\\ 11+\frac{1}{4}\)

Therefore, the value of the given expression is 11 and one-fourth.

Answer:

11 and one fourth

Step-by-step explanation:

Answer:

15/2 exact form decimal form 7.5 mixed number form 7 1/2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

first u change the mixed number.

and the u will multiply with the resprocal

Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

Answer:

the answer is 10

Step-by-step explanation:

sorry but I don't have the working for this

Answer:

15) 104 lbs

16) 263 miles

Step-by-step explanation:

15)  

4/7 of their weight (182) = the water weight

4/7 × 182 = 104 lbs

16)

3.5 months = 920 miles

1 month = 920 ÷ 3.5

= 262.8571429 ≈ 263 miles

Answer:

15) 104 lb

16) 262 6/7 miles/month

Step-by-step explanation:

15)

4/7 * 182 lb = 4/7 * 182/1 lb = (4 * 182)/(7 * 1) lb = (4 * 7 * 26)/7 lb = 104 lb

Answer: 104 lb

16)

(920 miles)/(3 1/2 months) = (920 miles)/(7/2 months) =

= 920/1 miles * 2/(7 months) = (920 * 2 miles)/(7 months) =

= 1840/7 miles/month = 262 6/7 miles/month

Answer:

draw a rectangle

Step-by-step explanation:

a rectangle has 2 long sides and 2 short ones it has 2 sets of simailer and has 2 perpundicular

Answer: 30%

Step-by-step explanation:
12/40 = 3/10 = 0.30

0.30*100 = 30%

The correct pattern of the series is option B.

What is Series?

Throughout the series, these phrases exhibit a consistent pattern. The candidate is expected to analyse the examples provided, recognise the patterns in the examples, and either finish the examples with the best possible replacement or identify the incorrect term in the examples.

Here the given series in first step we have blue quarter.

Then, next step blue quarter succeed by red quarter.

And the its followed by blue quarter Similarly here we have to follow this pattern , Then We can get Red Quarter.

In given option B is follow the pattern of the series.

Hence the  correct option is B.

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Answer:  The  answer  is  a  25  square  units

Step-by-step explanation:

Answer:

(a). The integral is \(W=62.5\pi\int_{0}^{11}(169-y^2)ydy\)

(b). The integral is \(W=62.5\pi\int_{0}^{11}{48+22y-y^2(11-y)}dy\)

Step-by-step explanation:

Given that,

Radius = 13 ft

Depth = 11 ft

Weight of water = 62.5 lb/ft³

(a). The origin is at the top of the tank with positive y variables going down.

We need to calculate the volume of the strip

Using formula of volume

\(dV=\pi r^2dy\)

Put the value into the formula

\(dV=\pi(\sqrt{13^2-y^2})^2dy\)

\(dV=\pi({169-y^2})dy\)

We need to calculate the mass of the strip

Using formula of mass

\(W=\rho dVgy\)

Put the value into the formula

\(W=\pi({169-y^2})dy\times62.5\ y\)

We need to calculate the work done to pump the water out of the spout

Using formula of work done

\(W= \int_{0}^{11}(\pi({169-y^2})dy\times62.5\ y)\)

\(W=62.5\pi\int_{0}^{11}(169-y^2)ydy\)

(b). The origin is at the bottom of the tank with positive y-values going up

We need to calculate the volume of the strip

Using formula of volume

\(dV=\pi r^2dy\)

Put the value into the formula

\(dV=\pi(\sqrt{13^2-(11-y)^2})^2dy\)

\(dV=\pi(169-(121-22y+y^2))dy\)

\(dV=\pi(169-121+22y-y^2)dy\)

\(dV=\pi(48+22y-y^2)dy\)

We need to calculate the mass of the strip

Using formula of mass

\(W=\rho Vg\)

Put the value into the formula

\(W=dV\rho g(11-y)\)

\(W=\pi(48+22y-y^2)dy\rho g(11-y)\)

\(W=62.5\pi(48+22y-y^2)(11-y)dy\)

We need to calculate the work done to pump the water out of the spout

Using formula of work done

\(W=\int_{0}^{11}{62.5\pi(48+22y-y^2)(11-y)dy}\)

\(W=62.5\pi\int_{0}^{11}{48+22y-y^2(11-y)}dy\)

Hence, (a). The integral is \(W=62.5\pi\int_{0}^{11}(169-y^2)ydy\)

(b). The integral is \(W=62.5\pi\int_{0}^{11}{48+22y-y^2(11-y)}dy\)