What is the range of the function y = √x+5?
O y2-5
O y20
O y≥√√5
O y25

No Its SAS - Hope it helps

Step-by-step explanation:

Answer:

c. 141 eighth-grade band students

Part B:

y = 3x

1/3y = x

Using the motion equation we can get:

a) s = -16*t^2 + 1028

b) 992 feet above the ground.

c) after 8 seconds, the coin will hit the ground.

First, we know that the general height equation is:

s = -16*t^2 + v0*t + s0

In this case, the coin is dropped, so the initial velocity v0 is zero.

And the coin is dropped from a height of 1028 ft, then s0 = 1028

Replacing that in the equation we get:

s = -16*t^2 + 1028

b) The height after 1.5 seconds is what we get by evaluating the height equation in t = 1.5

s = -16*(1.5)^2 + 1028 = 992

This means that the height after 1.5 seconds is 992 ft above the ground.

c) The coin will strike the ground when s = 0, then we need to solve:

s = 0 = -16*(t)^2 + 1028

Solving that for t, w eget:

16*t^2 = 1028

t^2 = 1028/16

t = √(1028/16) = 8

This means that the coin will hit the ground after 8 seconds.

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Answer:

Y=-1/2x+1 because b=the y intercept or in other words, the point at which the line crosses the y axis which is at 1. -1/2x because m=the slope and since the line is going down the slope would be negative. Remember rise/run rule, to get to the next point from (0,1) the line goes down 1 and over 2 which would make it 1/2 and since it goes down it is -1/2. The x stays because that is the variable in which you substitute numbers in for to get new points. Thus the y=Mx+b that you are looking for is y=-1/2x+1

Step-by-step explanation:

What is y=mx+b?

Answer: $150

Step-by-step explanation:

From the question, we are informed that the balance of Stephanies average balance checking account at the beginning of last cycle was $200 and that the only transaction for the cycle was a check that Stephanie wrote for $100 which cleared exactly halfway through the cycle.

Since the $100 check was cleared halfway, the amount that Stephanies checking account will pay interest last cycle will be for us to deduct half of $100 from $200. This will be:

= $200 - 1/2($100)

= $200 - $50

= $150

Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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Answer:

67

Step-by-step explanation:

we have a gap between 1st and 2nd terms of 4. a gap between 2nd and 3rd of 8. 16 for next gap. the gap doubles every time.

so we expect gap between 4th and 5th terms to be 2 X 16 = 32.

35 + 32 = 67. that is the next number in the sequence.

We need to get x by itself.

We do that by subtracting 5 from both sides.

This leaves us with x = -7.

So x = -7 is the solution.

Answer:

The final answer is \(x = -7\) .

Step-by-step explanation:

Solve the equation:

\(5 + x = -2\)

Subtract both sides by 5:

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

\(x = -7\)

So, therefore, \(x = -7\) is the final answer.

Answer:

What's the question very confused on how to answer...

Step-by-step explanation:

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

2,000, 1,000,000, 1,001,000

Step-by-step explanation:

When we add 1,000 and 1,000, you simply add the thousands place together. From there we get 2000.

When we multiply 1,000 by 1,000, just add the zeroes from the first number to the second number. From there, we get 1,000,000.

When we add 1,000 to 1,000,000, we simply set up addition with everything in the right place to get 1,000,000.

Answer:

x = −8

Step-by-step explanation:

The exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.

The exterior angle adjacent to the largest interior angle in a triangle is equal to the sum of the other two interior angles.

Let's call the measures of the angles in the triangle x, x, and 2x. Then,

x + x + 2x = 180 degrees,

so 4x = 180 degrees, and

x = 45 degrees.

The largest interior angle is 2x, or 90 degrees. The exterior angle that is adjacent to this angle is equal to 180 degrees minus the interior angle, which is 180 - 90 = 90 degrees.

So the exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.

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If we want to know how much money will be in the account Bob is 18 years old, we can substitute x = 18 into the function:

A(18) = 500 × (1.06)¹⁸

To describe the amount of money in Bob's account when he is x years old, we can use exponential growth with the given annual growth rate of 6%.

Let A(x) represent the amount of money in the account when Bob is x years old.

We know that initially, when Bob was born, $500 was put into the account.

So, we have:

A(0) = $500

Since the account grows annually by 6%, we can express the growth rate as 1 + 6% = 1 + 0.06

= 1.06 (including the initial amount).

For each year that passes, the account grows by a factor of 1.06.

We can define the exponential growth function as:

A(x) = 500 × (1.06)ˣ

In this function, x represents the number of years since Bob was born, and A(x) gives us the amount of money in the account at that age.

Calculating this value will give us the amount of money in the account at that age.

Function assumes continuous compounding of interest and does not take into account any additional deposits or withdrawals made during the period.

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Answer: There would be a crown on the top right side of their comment

The probability that the sample mean will be between 181 and 185 is 0.3039.

Given,

The mean of a population, μ = 180

Standard deviation, σ = 36

Number of sample observations, n = 84

We have to find the probability that the sample mean will be between 181 and 185;

Lets convert 181 and 185 into z scores;

z = (x - μ) / (σ/√n)

z = (181 - 180) / (36/√84)

z = 1/3.93

z = 0.25

z = (185 - 180) / (36/√84)

z = 5 / 3.93

z = 1.27

Lets look z score table;

The area to the left of z = 0.25 is 0.5987

The area to the left of z = 1.27 is 0.8980

The probability that the z is between 0.25 and 1.27 would be 0.8980 – 0.5887 = 0.3039.

That is,

The probability that the sample mean will be between 181 and 185 is 0.3039.

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Answer:

43,200 minutes in 1months or 30 days

There are 43200 minutes in one month.

The basic explanation of multiplication is adding a number, with respect to another number, repeatedly.

Given that, How many minutes are in a 30-day month,

We have, 60 minutes in 1 hour

And, 24 hours in 1 day,

Then, number of minutes in 1 day = 60 × 24 = 1440 minutes

Therefore, in 1 month = 1440 × 30 = 43200 minutes

Hence, there are 43200 minutes in one month.

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Answer:

B.x= -4 and E. x= 10 are the answers

Answer: 1962.5

Step-by-step explanation:  Just did this question it's right hope this helps

The width of the pool is approximately 0.67 feet or 8 inches. To find the width of the pool, we can use the given information about the volume of water it holds and the relationship between volume and dimensions.

First, we calculate the volume of the pool using the formula: Volume = length × width × height. Since the length is given as 5 feet and the height is 6 feet, we can substitute these values into the formula: Volume = 5 × width × 6.

Next, we convert the volume from gallons to cubic feet by dividing by the conversion factor of 7.5 gallons per cubic foot: (150 gallons) / (7.5 gallons per cubic foot) = 20 cubic feet.

Now we can set up the equation: 20 = 5 × width × 6.

To solve for the width, we divide both sides of the equation by (5 × 6): width = 20 / (5 × 6).

Evaluating the expression, we find that the width of the pool is approximately 0.67 feet or 8 inches.

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To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.

The EOQ formula is given by: EOQ = √((2DS) / H)

Where: D = Annual demand (7,000 go-cart tires)

S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)

we need to determine the purchase price per tire based on the quantity ordered.

EOQ = √((2 * 7,000 * 40) / (0.4 * 15))

=118 tires

they should order approximately 118 tires.

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Answer:

The long-run probability that the company will make a profit is 0.5, or 50%.

Step-by-step explanation:

The long-run probability of the company making a profit can be found using the concept of a steady-state probability.

Let P(P) be the long-run probability of making a profit, and P(L) be the long-run probability of taking a loss.

According to the given information:
1. If the company made a profit the year before, they make a profit with probability 0.8.
2. If they took a loss the year before, they make a profit with probability 0.2.

Using these probabilities, we can set up the following system of equations:

P(P) = 0.8 * P(P) + 0.2 * P(L)
P(L) = 1 - P(P)

Now we can substitute the second equation into the first equation to solve for P(P):

P(P) = 0.8 * P(P) + 0.2 * (1 - P(P))

To solve for P(P), we can rearrange the equation:

P(P) - 0.8 * P(P) = 0.2 - 0.2 * P(P)

Combining terms gives:

0.2 * P(P) = 0.2 - 0.2 * P(P)

Dividing by 0.2 gives:

P(P) = 1 - P(P)

Adding P(P) to both sides:

2 * P(P) = 1

Finally, dividing by 2:

P(P) = 0.5

So, the long-run probability that the company will make a profit is 0.5, or 50%.

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 In the context of the question, concerning  the convertion of  5.00 x 10² milliliters to quarts is 0.528qt. Hence, the required answer for the given question is Option C.

In order to convert milliliters to quarts, we can implement the conversion factor of 1L = 1.06 qt .

Now using the principles of simple conversion we have

5.00 x 10² milliliters = 0.500 L .

Hence,

0.500 L x (1.06 qt / 1 L) = 0.530 qt .

In the context of the question, concerning  the convertion of  5.00 x 10² milliliters to quarts is 0.528qt. Hence, the required answer for the given question is Option C.

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The measure of the various angles are:

∠1= 130°

∠3 = 130°

∠5= 50°

∠6= 130°

Lines m and l are the parallel lines and a line 'n' is a transverse intersecting these lines.

m∠2 = 50°

m∠1 + m∠2 = 180° [Linear pair of angles]

m∠1 = 180° - 50°

m∠1 = 130°

m∠3 = m∠1 = 130° [Vertically opposite angles]

m∠3 + m∠5 = 180° [Consecutive interior angles]

m∠5 = 180° - m∠3

       = 180° - 130°

m∠5   = 50°

m∠6 + m∠5 = 180° [Linear pair of angles]

m∠6 = 180° - 50°

m∠6= 130°

Hence,  the measure of the various angles are:

∠1= 130°

∠3 = 130°

∠5= 50°

∠6= 130°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See the attached image.

(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The Fourier transform pair for a function f(x) is defined as follows:

F(k) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

f(x) = (1/2π) ∫[-∞,∞] F(k) \(e^{2\pi iyx}\) dk

Now let's prove the given properties:

(i) If f is an even function, then f(y) = 2∫[0,∞] f(x) cos(2πxy) dx.

To prove this, we start with the Fourier transform pair and substitute y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is even, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[-∞,0] f(x) \(e^{2\pi iyx}\) dx

Since f(x) is even, f(x) = f(-x), and by substituting -x for x in the second integral, we get:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[0,∞] f(-x) \(e^{2\pi iyx}\)dx

Using the property that cos(x) = (\(e^{ ix}\) + \(e^{- ix}\))/2, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dx

Now, using the definition of the inverse Fourier transform, we can write f(y) as follows:

f(y) = (1/2π) ∫[-∞,∞] F(y) \(e^{2\pi iyx}\) dy

Substituting F(y) with the expression derived above:

f(y) = (1/2π) ∫[-∞,∞] ∫[0,∞] f(x) \(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\)/2 dx dy

Interchanging the order of integration and evaluating the integral with respect to y, we get:

f(y) = (1/2π) ∫[0,∞] f(x) ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy dx

Since ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy = 2πδ(x), where δ(x) is the Dirac delta function, we have:

f(y) = (1/2) ∫[0,∞] f(x) 2πδ(x) dx

f(y) = 2 ∫[0,∞] f(x) δ(x) dx

f(y) = 2f(0) (since the Dirac delta function evaluates to 1 at x=0)

Therefore, f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx, which proves property (i).

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The proof for this property follows a similar approach as the one for even functions.

Starting with the Fourier transform pair and substituting y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is odd, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx - ∫[-∞,0] f(x) \(e^{-2\pi iyx}\) dx

Using the property that sin(x) = (\(e^{ ix}\) - \(e^{-ix}\))/2i, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) - \(e^{2\pi iyx}\)/2i dx

Now, following the same steps as in the proof for even functions, we can show that

f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx

This completes the proof of property (ii).

In summary:

(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

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Answer:

because the power of the polynomial (T) is 0.5 where the polynomial considered when it must have power as 1,2 or many more.

Answer:

Its not a polynomial because polynomials don's have their exponents in fraction or decimal form

Answer:

slope of the line = 1

Step-by-step explanation:

Comparing the given equation to

y = mx + c

where m = slope of the line and c = y-intercept

Therefore, y = 1.

Answer:

10x + 4 \(\geq\) 25

Answer:

-1/2

Step-by-step explanation:

-1/2

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