There are approximately 26 billion ounces of a water left in a natural spring, and every year humans consume about 150 million ounces of it. Let V stand for the volume (in millions of ounces) of spring water remaining, and t stand for the number of years since 2018. What linear equations could model the decreasing supply of water in this particular spring?

Answer:

Step-by-step explanation:

Acme Company:

Let the number of shirts = x

Cost = 50 + 9x

Beta Company:

Cost = 14x

50 + 9x < 14x

Subtract 9x from both sides

50 < 14x - 9x

50 < 5x

Divide both sides by 5

50/5 < x

10 < x

Minimum number of shirts for which a customer saves money by using Acme  = 11 T-shirts

the first five terms of the sequence are:

-4/5, -8/5, -12/5, -16/5, -4

To find the first five terms of the sequence with the nth term given by an = -4/5n, we substitute the values of n from 1 to 5 into the nth term expression.

For n = 1:

a1 = -4/5(1) = -4/5

For n = 2:

a2 = -4/5(2) = -8/5

For n = 3:

a3 = -4/5(3) = -12/5

For n = 4:

a4 = -4/5(4) = -16/5

For n = 5:

a5 = -4/5(5) = -20/5 = -4

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Answer:

Step-by-step explanation:

can u give the answer to the quiz

The range of the project will be equal to 0.82.

When the sample maximum and minimum are subtracted, the range of a set of data is the difference between the largest and smallest values. It uses the same units as the data to express itself.

The given data of the project is,

u             0.87

v            0.31

w           0.08

x            0.05

y            0.19

z            0.5

The range will be calculated as the difference between the maximum value to the minimum value.

Range = 0.84 - 0.05

Range = 0.82

Therefore, the range of the project will be equal to 0.82.

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Answer:

35 days

Step-by-step explanation:

A = 14 days

It means per day, work done by A= 1 / 14

A+B = 10 days

Work done by A and B per day = 1 / 10

In what time can B alone do the work?

To solve this, we have

A+B = A alone + B alone

1/10 = 1/14 + B alone

Subtract 1/14 from both sides

1/10 - 1/14 = 1/14 + B alone - 1/14

14-10/140 = B alone

4/140 = B alone

B alone= 1 / 35

Work done of B alone = 1/35

B alone will do the work in 35 days

Answer:

35 days.  

Step-by-step explanation:

A can do the work in 14 days: per day work done by A=1/14

A and B can do the work in 10 days: per day work done by A and B=1/10

Work is done by B per day=1/10–1/14=7/70-5/70=(7–5)/70=2/70=1/35.

So, B takes 35 days.

Answer:

$2.70

Step-by-step explanation:

We know that $21.87 is for 8.1 pounds of strawberries.

To get the price of 1 pound, we divide $21.87 by 8.1.

That gives us $2.70.

The measurement of angle FWU is given as follows:

< FWU = 14.65º.

The measure is obtained using the two secant theorem, which states that the angle measure is half the difference between the angle measures of the two arcs.

The angle measures for each arc are given as follows:

The difference between these two measures is obtained as follows:

67.4 - 38.1 = 29.3.

The angle measure is half of this, hence it is obtained as follows:

< FWU = 0.5 x 29.3

< FWU = 14.65º.

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9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA can remind you of the relevant relationships. The given side is the hypotenuse. x is the side opposite the given angle.

  Sin = Opposite/Hypotenuse

  sin(51°) = x/(9 ft)

  x = (9 ft)sin(51°)

  x ≈ 6.99 ft

__

  Cos = Adjacent/Hypotenuse

  cos(51°) = y/(9 ft)

  y = (9 ft)cos(51°)

  y ≈ 5.66 ft

the integral of the line, where c is the specified curve. The line integral is (x 9y) dx x2 dy, where C is the provided curve. The line segments from (0, 0) to (9, 1) and from (9, 1) to (10, 0), respectively, make up the integral c (x+2y)dx+x2dy, C. is 95/3

\(\int\limits^a_c {(x+9y,x^{2} )} \, dr_{2} = \int\limits^1_0{9+t+9-9t, (9+t )^2} .(1, -1)\, dt\)

it is possible to parameterize the first line segment by

\(r_{1} (t) = (0,0)(1-t) + (9,1)t = (9t,t)\) with 0 ≤ t ≤ 1 indicate this first section with \(C_{1}\) then

\(\int\limits^a_c {(x}+9y,x^2 ) \, dr_{1} = \int\limits^1_0 {(9t+9t,81t^2) . (9,1)} \, dt\\ \\= \int\limits^1_0 {(162t + 81t^2) } \, dt\\\\= 108\)

secondly the line segment \(C_{2}\) can be characterised as

\(r_{2} (t) = (9,1)(1-t) + (10,0)t = (9+t,1-t)\) again using interval  0 ≤ t ≤ 1  then

\(\int\limits^a_c {(x+9y,x^{2} )} \, dr_{2} = \int\limits^1_0{9+t+9-9t, (9+t )^2} .(1, -1)\, dt\)

= -229/3

finally ,

= 108-229/3

= 95/3

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The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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Answer: 62

Step-by-step explanation: In the red empty spot, the #5 would go there and in the blue spot the #6 would go there. 8x2=16 and 16+16= 32: t=This is for the to rectangle shapes on both sides. Now for the square in the middle, since the red spot is 5 and the blue is 6, 5x6= 30. So, 30+32=62.

Answer:

The surface area of a rectangular prism with length of

15, a width of 9 and a height of 13 is:

894.0000 square units.

not sure

Step-by-step explanation:

To find the surface area, use this rectangular prism surface area

formula:

Surface Area =

[(Length x Width) + (Length x Height) + (Width x Height)] x 2

Example: The surface area of a rectangular prism with length of

3 inches, width of 4 inches, and height of 5 inches:

Surface Area = [(3 x 4) + (3 x 5) + (4 x 5)] x 2

Calculated out this gives a surface area of 94 Square Inches.

(not the answer example)

wait plsss- i messed up.

Your answer: A  −14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]  This example demonstrates the distributive property of multiplication over addition for rational numbers, which states that for any rational numbers a, b, and c: a × (b + c) = (a × b) + (a × c).

The correct answer is A: −14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]. This is an example of the distributive property of multiplication over addition for rational numbers because we are multiplying −14 by the sum of 23 and −47, and we can distribute the multiplication to each term inside the parentheses by multiplying −14 by 23 and −14 by −47 separately, and then add the two results together. This is the basic definition of the distributive property of multiplication over addition. Option B shows the distributive property of multiplication over subtraction, option C shows the product of multiplication and addition, and option D is not a valid equation.

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The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

150

Step-by-step explanation:

Answer: 150!

Step-by-step explanation:

i did the edge test, i got it right. trust me, i dont lie. :)  have a nice day<3

proof:

I was in a rush so I couldn't write fown the steps. If you need the explanations for how they were gotten, please say.

Answer:

\(P(Not\ Star) =\frac{2}{3}\)

Step-by-step explanation:

Given

See attachment

Required

Theoretical probability that a roll will not land on a star

From the attachment, we have:

\(n = 12\) --- Total space

\(Star = 4\)

So, the theoretical probability that a roll will land on a star is:

\(P(Star) = \frac{n(Star)}{n}\)

\(P(Star) = \frac{4}{12}\)

\(P(Star) = \frac{1}{3}\)

Using the complement rule, the probability that it will not land on a star is:

\(P(Not\ Star) = 1 - P(Star)\)

\(P(Not\ Star) = 1 - \frac{1}{3}\)

Take LCM

\(P(Not\ Star) =\frac{3-1}{3}\)

\(P(Not\ Star) =\frac{2}{3}\)

Answer:

Look at the photo below

Step-by-step explanation:

Answer:

The letter that represents the y-intercept is B!

Step-by-step explanation:

It indicates point of intersection between the y-axis and the line.

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PLEASE!!!

The rate of change of the area when the radius is 2 centimeters is approximately 100.5 square centimeters per minute.

To find the rate of change of the area of a circle when the radius is 2 centimeters, we need to use the formula for the area of a circle, which is \(A = πr^2.\)

We know that the radius is increasing at a rate of 8 centimeters per minute, so we can use this information to find the rate of change of the area.

We can start by finding the area of the circle when the radius is 2 centimeters. Substituting r = 2 into the formula, we get:

A = π(2)^2
A = 4π

So the area of the circle is 4π square centimeters when the radius is 2 centimeters.

Now, let's find the derivative of the area with respect to time. Using the power rule of differentiation, we get:

dA/dt = 2πr (dr/dt)

Substituting r = 2 and dr/dt = 8, we get:

dA/dt = 2π(2)(8)
dA/dt = 32π

So the rate of change of the area when the radius is 2 centimeters is 32π square centimeters per minute. To round this to one decimal place, we can use a calculator to get:

dA/dt ≈ 100.5

Therefore, the rate of change of the area when the radius is 2 centimeters is approximately 100.5 square centimeters per minute.

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Answer:

1 = 50°,  2 = 130°,  3 = 50°,  4 = 130°,  5 = 40°,  6 = 140°,  7 = 90°,  8 = 140°

Step-by-step explanation:

The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.

Angle 1: 180 - 90 - 40 = 50°

Angle 2: 180 - 50 = 130°

Angle 3: 180 - 130 = 50°

Angle 4: 180 - 50 = 130°

Angle 5: 180 - 90 - 50 = 40°

Angle 6: 180 - 40 = 140°

Angle 7: 180 - 90 = 90°

Angle 8: 180 - 40 = 140°

It's a little complicated, but I hope this helps!

Based on the definition of a line of symmetry, we can conclude that: "the line is not a line of symmetry, because the two parts are not an exact match when the rectangle is folded over the line."

A line of symmetry is like a mirror that splits a shape into two parts that look exactly the same. If you fold a shape in half along a line and both sides look exactly the same, that line is called a line of symmetry.

Thus, from the image shown with the rectangle given, we can conclude that: "the line is not a line of symmetry, because the two parts are not an exact match when the rectangle is folded over the line."

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The correct answer is A) $1359.54. To evaluate f(2000), we need to find the corresponding y-value in the given function f at x = 2000.

From the given data, we have f = {(1996, 1.2), (1998, 4.3), (2000, 9.8)}. Looking at the function f, we see that f(2000) = 9.8.

The domain of f is the set of x-values for which we have corresponding y-values. In this case, the domain is D: {1996, 1998, 2000}.

The range of f is the set of y-values obtained from the function. In this case, the range is R: {1.2, 4.3, 9.8}.

Therefore, the correct answer is B) f(2000) = 9.8; D: {1996, 1998, 2000}, R: {1.2, 4.3, 9.8}.

For the second part of the question:

We are given the formula for the account balance after x years as A(x) = A * 20.075^x, where A represents the initial deposit.

In this case, the initial deposit A is $520. We need to find the account balance after 8 years, so we substitute x = 8 into the formula.

A(8) = 520 * 20.075^8

Using a calculator, we can compute this value to be approximately $1359.54.

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Answer and Step-by-step explanation:

1) 12*12 = 144

2) 2*2*2 = 8

Answer:

x=6

Step-by-step explanation:

we know that

slope formula is,

m=(y2-y1) / (x2-x1)

where m=-3

x1=x,y1=-4 and x2=2,y2=8,

-3=(8-(-4))/(2-x)

Now solving the expression

we get,

-6+3x=12

3x=18

x=6

its true

they are both already right triangles so if both have acute angles that are congruent then the right triangles are similar

if one of the acute angles of a right triangle is congruent to an acute angle of another right triangle then by angle angle Similarity the triangles are similar

Answer:

$289

Step-by-step explanation:

If you know the cost of one of the two items, you can subtract that item from the total in order to find the price of the second item

So:   total price - computer price = printer cost

So:   $1039- $750 = $289

The printer is $289

Answer

put 1 on top and exo on bottom

Step-by-step explanation:

Answer:

The y-intercept answer will be 2/9