2
A payment increases from $700 to $945. What is the percent increase in the
payment? Show your work.

Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

Quadratic formula goes as follows \(\frac{-b+\sqrt{b^2-4ac} }{2a}\) and \(\frac{-b-\sqrt{b^2-4ac} }{2a}\), there is no plus or minus (+/- thingy) sign on here but use both plus and minus on the numerator where I switched the signs.

The equation you give is \(3x^2-3x+\frac{3}{4}\), to make it nice, multiply everything by 4 to cancel out the fraction and end up with \(12x^2-12x+3\). So a=12, b=-12, and c=3. Use these values and plug them into quadratic formula.

For the first formula I wrote, \(\frac{-b+\sqrt{b^2-4ac} }{2a}\), you get \(\frac{-(-12)+\sqrt{(-12)^2-4(12)(3)} }{2(12)}\)= \(\frac{1}{2}\).

For the second formula, \(\frac{-b-\sqrt{b^2-4ac} }{2a}\), you get \(\frac{-(-12)-\sqrt{(-12)^2-4(12)(3)} }{2(12)}\)= \(\frac{1}{2}\).

Always do quadratic formula for both plus and minus to get both zeros. However, in this case, the answer still remained positive. So the zero of this would be just  \(\frac{1}{2}\).

Do in completing the square method.

\( {4x}^{2} - 4x + 1 = 0 \\ 4x^{2}-4x=-1 \\ \frac{4x^{2}-4x}{4}=\frac{-1}{4} \\ x^{2}+\frac{-4}{4}x=\frac{-1}{4} \\ x^{2}-x=\frac{-1}{4} \\ x^{2}-x+\left(-\frac{1}{2}\right)^{2}=-\frac{1}{4}+\left(-\frac{1}{2}\right)^{2} \\ x^{2}-x+\frac{1}{4}=\frac{-1+1}{4} \\ x^{2}-x+\frac{1}{4}=0 \\ \left(x-\frac{1}{2}\right)^{2}=0 \\ \sqrt{\left(x-\frac{1}{2}\right)^{2}}=\sqrt{0} \)

Now simplify.

\(x-\frac{1}{2}=0 \\ x-\frac{1}{2}=0 \\ \\ \rightarrow \: x=\frac{1}{2} \\ \rightarrow \: x=\frac{1}{2} \)

So, answer is..

\( \boxed{x=\frac{1}{2} }\)

Now rewrite the equation.

\(4 x ^ { 2 } - 4 x + 1 = 0 \\ \boxed{4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0 }\)

Verification :-

\(4 x ^ { 2 } - 4 x + 1 = 0 \\ 4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0 \\ 1-4\times \left(\frac{1}{2}\right)+1=0 \\ 1-\frac{4}{2}+1=0 \\ 1-2+1=0 \\ -1+1=0 \\ \underline{ 0 = 0} \: \\ \dashrightarrow \text{true}\)

Answer:

Answer: Is third one

hope it help you

Thank u

Answer:

D. (∜(2x-8)^4=(-∜(2x+8)^4

Step-by-step explanation:

∜(2x-8)+∜(2x+8)=0        

Rearrange the radical on the left side of the equation

∜(2x-8)=-∜(2x+8)

Raise both sides to the 4 power

(∜(2x-8))^4=(-∜(2x+8))^4

Determine the sign for exponential or radical expressions

(∜(2x-8))^4=(∜(2x+8))^4

Simplify the radical expression

2x-8=(∜(2x+8))^4

Simplify the radical expression

2x-8=2x+8

Rearrange variables to the left side of the equation

2x-2x=8+8

Apply the Inverse Property of Addition

0=8+8

Simplify

0=16

No solution

The step that makes the most sense is D. (∜(2x-8)^4=(-∜(2x+8)^4

5-7 hours i think, not 100% sure

Step-by-step explanation:

if you have any answer choices can you please list them? I'm not sure if this is correct but I'm guessing it'll take them both 5ish hours. Since Rachel can finish it in 5 hours but Carl takes longer, either they'll get it done in 5 hours or may it'll take a longer like 6 hours if Carl slows Rachel down. hope this helps!

Answer: 3 hours

Step-by-step explanation:

If she can do it in 5 and he, in 8 then subtract 5-8 and you get 3. Together they can complete this in 3 hours. Have a great day!

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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There are a total of 10 letters in the word REPETITION. To determine the number of arrangements where the first E occurs before the first T, we can treat the first E and the first T as distinct entities and count the number of arrangements where the first E appears before the first T.

There are 3 possible scenarios:
1. The first E is in the first position, and the first T is in one of the positions 3 through 10.
2. The first E is in the second position, and the first T is in one of the positions 4 through 10.
3. The first E is in the third position, and the first T is in one of the positions 5 through 10.

For each scenario, we can count the number of arrangements of the remaining letters. There are 6 distinct letters left, with 2 Es and 2 Ts. Therefore, the number of arrangements for each scenario is 6!/2!2!, or 180.

Multiplying the number of arrangements for each scenario by the number of possible positions for the first E and first T yields a total of 3 x 180 = 540 arrangements. However, we must divide by 2!4! to account for the fact that there are two sets of identical letters (2 Es and 4 Ts).

Therefore, the final answer is 3 x (10!/2!4!) = 226800.

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So we want to see which number line shows the sum 1.5 + 2.5. We will see that the correct option is "An arrow goes from 0 to 1. 5 and from 1. 5 to 4"

So the number line usually starts at 0 and goes to the first number, 1.5 in this case.

Then, it moves accordingly to the second number, 2.5 (so it will move 2.5 units to the right)

So the number line should start at 0 and move to the right until it meets 1.5 + 2.5 = 4.

From the options, the only that is correct is:

"An arrow goes from 0 to 1. 5 and from 1. 5 to 4"

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Answer:

I am not the best at math but I know that u can't change the bottom half of the fraction so it would just be four and then multiply the five and the three which would be fifteen. The answer would be 15/4ths. So you want to color in 15 boxes. Hopefully I could be of some kind of help to you!

Answer:

color in 15 boxes

15/32

Step-by-step explanation:

first off, the points are split so I'm only getting 12, just so that you know.

so 1/8x1/4 is 1/32, so each box is 1/32.

5/8x3/4=15/32 (multiply the top of the first with the top of the second and the bottom of the first with the bottom of the second)

so color in 15 boxes and the answer to the multiplication is 15/32

Hope I could help!

The formula for the height of the banner in terms of the side length of the cardboard square, the height of the grandstand, and the distances from the person's eye level to the grandstand and the ground.

Mathematically, we can write this as:

(height of banner) / (distance from eye level to top of grandstand) = (side length of cardboard square) / (distance from eye level to bottom of square)

So, the distance from the eye level to the top of the grandstand is "s + h". We also know the distance from the person's eye level to the bottom of the square, which is "d₂ - d₁".

Putting all of this together, we can write:

(height of banner) / (s + h) = s / (d₂ - d₁)

To solve for the height of the banner, we can cross-multiply and simplify:

(height of banner) = (s² / (d₂ - d₁)) * (1 + h/s)

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Complete Question:

Zach wants to order a banner that will hang over the side of his baseball stadium grandstand and reach the ground. And then he needs to find the height for the banner so he uses a cardboard square to line up the top and bottom of the grandstand. Then he measures the distance from the grandstand and from the ground to his eye level.

Find height of the banner.

Dina can reach a maximum kinetic energy of 2450 Joules when she skis to the bottom of the slope.

Potential energy (PE) = m x g x h

where m = mass, g = acceleration due to gravity, and h = height

Here, Dina's mass (m) = 50 kg, height (h) = 5 m, and acceleration due to gravity (g) = 9.8 m/s².

So, PE = 50 x 9.8 x 5

PE = 2450 Joules

When Dina skis down the slope, all of her potential energy will be converted into kinetic energy (KE) at the bottom of the slope, neglecting any losses due to friction and air resistance.

Thus, the maximum kinetic energy (KE) Dina can reach at the bottom of the slope is also 2450 Joules.

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The maximum kinetic energy she can reach when she skis to the bottom of the slope is 2452 joules

To find the maximum kinetic energy that Dina can reach when she skis to the bottom of the slope, we need to use the principle of conservation of energy, which states that the total energy of a system remains constant.

At the top of the slope, Dina has potential energy due to her position relative to the ground. This potential energy is given by:

PE = m × g × h

where m is Dina's mass (50 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the slope (5 m).

PE = 50 kg × 9.8 m/s^2 × 5 m = 2450 J

When Dina skis to the bottom of the slope, all of her potential energy is converted into kinetic energy, which is given by:

KE = 1/2 × m × v^2

where v is her velocity at the bottom of the slope.

To find the maximum velocity, we can use the fact that the total energy of the system remains constant:

PE = KE

2450 J = 1/2 × 50 kg × v^2

v^2 = 98 m^2/s^2

v = sqrt(98) = 9.90 m/s

Finally, we can substitute this velocity into the kinetic energy equation to find the maximum kinetic energy that Dina can reach:

KE = 1/2 × 50 kg × (9.90 m/s)^2 = 2452 J

Therefore, Dina can reach a maximum kinetic energy of 2452 Joules when she skis to the bottom of the slope.

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Answer:

256.700 grams

Step-by-step explanation

the immediate number after the decimal is at the tenth position.

so, we will round off 6 by looking at the number next to it:

as the number next to it is greater than 5 so 1 will be added to the number in tenth position for rounding.

thus, the mass of his magazine rounded to the nearest tenth is,

256.700 grams

Answer:

19t + 100

Step-by-step explanation:

19 per hour so multiplication

extra 100 so add that

The monthly rent for the apartment would be $1238.84 in the fifth year.

The problem states that the monthly rent for an apartment is $925. To calculate the rent for the second year, we need to increase this amount by 6%.

To do this, we first need to calculate 6% of $925. We can do this by multiplying 0.06 (which is equivalent to 6%) by $925:

6% of $925 = 0.06 × $925 = $55.50

So, the rent for the second year would be:

$925 + $55.50 = $980.50

To find the rent for the third year, we need to increase the rent for the second year by 6%. We can follow the same process:

6% of $980.50 = 0.06 × $980.50 = $58.83

So, the rent for the third year would be:

$980.50 + $58.83 = $1039.33

To find the rent for any year n, we use the formula:

Rent for year n = $925 × (1 + 0.06)^n

In this formula, (1 + 0.06) represents the multiplier used to calculate the new rent each year.

For example, the multiplier for the second year is 1 + 0.06 = 1.06, and the multiplier for the third year is 1.06 × 1.06 = 1.1236 (rounded to four decimal places).

To find the rent for the fifth year, we plug in n = 5:

Rent for year 5 = $925 × (1 + 0.06)^5 = $925 × 1.3382 = $1238.84 (rounded to the nearest cent)

So, the monthly rent for the apartment would be $1238.84 in the fifth year.

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The parametric equations for the space curve of intersection between the surfaces z = x^2 - y^2 and x = y^2 are x = y^2, y = y and z = y^4 - y^2.

To parametrize the space curve of intersection between the two surfaces z = x^2 - y^2 and x = y^2, we can express one variable in terms of the other and substitute it into the equation of the other surface. In this case, we can express x in terms of y using the equation x = y^2 and substitute it into the equation z = x^2 - y^2. This will give us a parametric representation of the curve in terms of a single parameter, in this case, y.

Proceeding with the calculations:

1. Substitute x = y^2 into z = x^2 - y^2:

z = (y^2)^2 - y^2

z = y^4 - y^2

2. The parametric representation of the curve is given by:

x = y^2

y = y

z = y^4 - y^2

So, the parametric equations for the space curve of intersection between the surfaces z = x^2 - y^2 and x = y^2 are:

x = y^2

y = y

z = y^4 - y^2

These equations describe the coordinates (x, y, z) of points on the curve where the two surfaces intersect. By varying the parameter y, we can trace out the curve in three-dimensional space.

The curve can be visualized by plotting points using various values of y within a certain range. Each point will have coordinates (x, y, z) that satisfy both surface equations, representing the intersection curve between the two surfaces.

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Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.

The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.

Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.

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Answer:

I am assuming the 8:15 was a typo and was actually supposed to be a 8:14. Anyways, they are equivalent because they all make 4:7 when simplified.

Step-by-step explanation:

4:7 = itself at this point, as they don't have numbers that can simplify each other on both sides, unless you are looking for a decimal answer.

8:14 = 4:7 <- You can divide the 8 and 14 by two. 8 divided by 2 is four, and 14 divided by 2 is 7.

16:28 = 4:7 <- You can divide the 16 and the 28 by four. 16 divided by 4 is 4, and 28 divided by 4 is 7.

20:35 = 4:7 <- You can divide both sides by 5. 20 divided by 5 is 4, and 35 divided by 5 is 7.

Answer: f(19) = 29/7.

Step-by-step explanation: 1. Replace x with 19 in the function. This gives you:

\(\frac{3}{19+2} - \sqrt{19-3}\)

2. Reduce these items to get:

\(\frac{3}{21} - \sqrt{16} \\\)

3. Reduce again:

\(\frac{1}{7} + 4 = \frac{1}{7}+\frac{28}{7} = \frac{29}{7}\)

4. However, be cautious. The full answer for this has a negative component (\(\frac{-27}{7}\)) because the square root of 16 can be either 4 or -4.

Answer:

:> so sorry Could you help me?

Step-by-step explanation:

Answer:

ill suck ya wang

Step-by-step explanation:5$ and ill suck yo wang to do your homework

Answer:

It is C.

Step-by-step explanation:

If you multiply 2 times 2 you get 4. Then multiply 4 by 5 and you get 20.

Therefore, it is C.

At first, there are a total of 17 marbles in the bag.

The probability of pulling out the first red marble = 6/17.

The probability of pulling out the second red marble = (6-1)/(17-1) = 5/16

The probability of pulling out the third red marble = (5-1)/(16-1) = 4/15

Because we need these 3 events to happen consecutively, the probability of it happening = 6/17 x 5/16 x 4/15 = 0.029% (nearest thousandth).

Answer:

\( \sf \large \: −6.23\)

Step-by-step explanation:

2.67−8.9

=2.67+−8.9

=−6.23

The answer of the given question is A rectangular block of mass m has an inertia moment of Bh3/3.

When a body resists having the direction of its rotation along an axis changed by the application of a torque, this resistance is referred to as having moment of inertia. There are four types of axes: internal, external, fixed, and moving. It is possible to calculate the moment of inertia (I), which is always expressed in terms of that axis, by adding the results of multiplying each particle's mass by the square of its distance from the axis within the particular body. Moment of inertia is the same as mass in linear momentum when calculating the angular momentum of a rigid body.

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As the interest rate increases from 10 percent to 11 percent, the present value of the bond decreases from $1,074.47 to $1,058.31. Conversely, when the interest rate decreases to 9 percent, the present value increases to $1,091.19. This is because the discount rate used to calculate the present value is inversely related to the interest rate, meaning that as the interest rate increases, the present value decreases, and vice versa.

To compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000, we need to discount the future cash flows (coupon payments and face value) by the appropriate interest rate.

Step 1: Calculate the present value of each coupon payment.
Since the bond has a 10 percent coupon rate, it pays $100 (10% of $1,000) annually. To calculate the present value of each coupon payment, we need to discount it by the interest rate.

Using the formula: PV = C / (1+r)^n
Where PV is the present value,

C is the cash flow,

r is the interest rate, and

n is the number of periods.

At an interest rate of 10 percent, the present value of each coupon payment is:
PV1 = $100 / (1+0.10)^1 = $90.91

Step 2: Calculate the present value of the face value.
The face value of the bond is $1,000, which will be received at the end of the fifth year. We need to discount it to its present value using the interest rate.

At an interest rate of 10 percent, the present value of the face value is:
PV2 = $1,000 / (1+0.10)^5 = $620.92

Step 3: Calculate the total present value.
To find the present value of the bond, we need to sum up the present values of each coupon payment and the present value of the face value.
Total present value at an interest rate of 10 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,074.47

When the interest rate goes to 11 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 11 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,058.31

When the interest rate goes to 9 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 9 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,091.19

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Solution

We have the following:

5 pieces of chocolate

6 pieces of licorine

3 pieces of gum

Total = 5+6+3= 14 pieces

Part A

We can do this:

Part B

For this case we can do this:

Alex has five cups of strawberries and wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Alex has enough strawberries to make both recipes.

To check if Alex has enough strawberries, we add the amount of strawberries needed for the fruit salad (1 3/4 cups) and the amount needed for the jam (3 1/2 cups)

1 3/4 cups + 3 1/5 cups

= 1 + 3/4 + 3 + 1/5

Multiplying 3/4 with 5/5 and 1/5 with 4/4 to make denominator equal

= 1 + 15/20 + 3 + 4/20

= 4 + 19/20

= 4 19/20 cups

4 19/20 is less than 5 cups. So Alex has enough strawberries for both recipes.

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So you would be about 33 feet (10 meters) higher if you were standing on the top floor of the Petronas Towers compared to the top floor of the Sears Tower.

The Sears Tower, now known as the Willis Tower, has a height of 1,450 feet (442 meters) to the top of its roof, or 1,729 feet (527 meters) including its antennas. The Petronas Towers, on the other hand, have a height of 1,483 feet (452 meters) to the top of their spires. Therefore, if you were standing on the top floor of the Sears Tower in Chicago, you would be lower than if you were standing on the top floor of the Petronas Towers in Kuala Lumpur, since the Petronas Towers are taller. The height difference between the two buildings would be:1,483 ft (452 m) - 1,450 ft (442 m) = 33 ft (10 m)So you would be about 33 feet (10 meters) higher if you were standing on the top floor of the Petronas Towers compared to the top floor of the Sears Tower.

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