Mr. Hernandez dilates the triangle shown below by a scale factor of 2 with the origin

Answer:

11.25

Step-by-step explanation:

9/12 of 15 is 11.25

Answer:

17 3/2 - 5 100/8 = 1/1 = 1

Step-by-step explanation:Conversion a mixed number 17 3/

2

to a improper fraction: 17 3/2 = 17 3/

2

= 17 · 2 + 3/

2

= 34 + 3/

2

= 37/

2

To find a new numerator:

a) Multiply the whole number 17 by the denominator 2. Whole number 17 equally 17 * 2/

2

= 34/

2

b) Add the answer from previous step 34 to the numerator 3. New numerator is 34 + 3 = 37

c) Write a previous answer (new numerator 37) over the denominator 2.

Seventeen and three halfs is thirty-seven halfs

Conversion a mixed number 5 100/

8

to a improper fraction: 5 100/8 = 5 100/

8

= 5 · 8 + 100/

8

= 40 + 100/

8

= 140/

8

To find a new numerator:

a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 8/

8

= 40/

8

b) Add the answer from previous step 40 to the numerator 100. New numerator is 40 + 100 = 140

c) Write a previous answer (new numerator 140) over the denominator 8.

Five and one hundred eighths is one hundred forty eighths

Subtract: 37/

2

- 140/

8

= 37 · 4/

2 · 4

- 140/

8

= 148/

8

- 140/

8

= 148 - 140/

8

= 8/

8

= 8 · 1/

8 · 1

= 1

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, cancel by a common factor of 8 gives 1/

1

.

In other words - thirty-seven halfs minus one hundred forty eighths = one.Conversion a mixed number 17 3/

2

to a improper fraction: 17 3/2 = 17 3/

2

= 17 · 2 + 3/

2

= 34 + 3/

2

= 37/

2

To find a new numerator:

a) Multiply the whole number 17 by the denominator 2. Whole number 17 equally 17 * 2/

2

= 34/

2

b) Add the answer from previous step 34 to the numerator 3. New numerator is 34 + 3 = 37

c) Write a previous answer (new numerator 37) over the denominator 2.

Seventeen and three halfs is thirty-seven halfs

Conversion a mixed number 5 100/

8

to a improper fraction: 5 100/8 = 5 100/

8

= 5 · 8 + 100/

8

= 40 + 100/

8

= 140/

8

To find a new numerator:

a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 8/

8

= 40/

8

b) Add the answer from previous step 40 to the numerator 100. New numerator is 40 + 100 = 140

c) Write a previous answer (new numerator 140) over the denominator 8.

Five and one hundred eighths is one hundred forty eighths

Subtract: 37/

2

- 140/

8

= 37 · 4/

2 · 4

- 140/

8

= 148/

8

- 140/

8

= 148 - 140/

8

= 8/

8

= 8 · 1/

8 · 1

= 1

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, cancel by a common factor of 8 gives 1/

1

.

In other words - thirty-seven halfs minus one hundred forty eighths = one.

The result of multiplying 2y (one-fourth y + three-fourths) is one-half y squared + 6 over 4 y

2y(1/4y + 3/4)

= (2y × 1/4y) + (2y × 3/4)

= 2/4y² + 6/4y

= 1/2y² + 3/2y

Given options:

= 9/4y + 11/4

= 1/2y + 6/4

= 1/2y² + 6/4y

9/4y² + 11/4y

Therefore, the result of multiplying 2y (one-fourth y + three-fourths) is one-half y squared + 6 over 4 y

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Answer: C.

one-half y squared + 6 over 4 y

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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The answer is 6.6 feet above the ground

Step-by-step explanation: :)

The number of participants changed at -60 contestants from the second to the fourth round

The rate at which one value in a function changes in proportion to another is known as the average rate of change. The slope of a graphed function is typically calculated using the average rate of change.

When x=2, f(x) = 128

when x = 4, f(x) = 8

Rate of change:

8-128/4-2 = -60

As the tournament draws closer to the final, the number of competitors is decreasing at this fluctuating rate.

The average rate at which the number of participants changed from the second round to the fourth round was -60 contestants per round.

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Answer:

\(\sf 9.6\:hours \:\: or \:\: 576\: minutes\)

Explanation:

\(\sf Time \ taken : \dfrac{Distance}{Speed}\)

Here given:

Applying formula,

\(\sf Time \ Taken = \dfrac{48}{5} = 9.6 \ hours = 576 \ minutes\)

Answer

$12.41

Step-by-step explanation

1 pound is equivalent to $0.85 in the shipping fee.

To find the shipping fee equivalent to 14.6 pounds, we can use the next proportion:

Cross-multiplying and omitting the units:

Answer:

The ratio 20:30 is not equivalent to 1:2.

Therefore, Bonnie mixes approximately 0.67 milliliters of vinegar with every 1 milliliter of soy sauce.

To determine how much soy sauce Bonnie mixes with every 1 milliliter of vinegar, we divide the total amount of soy sauce (150 milliliters) by the amount of vinegar (100 milliliters):

150 milliliters of soy sauce / 100 milliliters of vinegar = 1.5 milliliters of soy sauce per 1 milliliter of vinegar

Therefore, Bonnie mixes 1.5 milliliters of soy sauce with every 1 milliliter of vinegar.

To determine how much vinegar Bonnie mixes with every 1 milliliter of soy sauce, we divide the total amount of vinegar (100 milliliters) by the amount of soy sauce (150 milliliters):

100 milliliters of vinegar / 150 milliliters of soy sauce ≈ 0.67 milliliters of vinegar per 1 milliliter of soy sauce

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Answer: the last one!! \(n\leq 5\)

Step-by-step explanation:

When there is a line under it means no more than!

The probability of getting a sum of 2 when rolling a blue die and a yellow die is 1/36.

When rolling two dice, each die has six possible outcomes (1, 2, 3, 4, 5, or 6). The total number of possible outcomes when rolling both dice is the product of the number of outcomes for each die, which is 6 x 6 = 36. To get a sum of 2, the blue die must show 1 and the yellow die must show 1. There is only one combination of these outcomes, so the probability of rolling a sum of 2 is 1/36.

Therefore, the probability of rolling a sum of 2 when rolling a blue die and a yellow die is indeed 1/36, indicating a very low likelihood of obtaining this specific outcome.

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The length of the curve is approximately 2.892.

The equation is: 16xy^2 – y^6 = 8

The derivative with respect to x is: 16y^2 + 32xy(dy/dx) - 6y^5(dy/dx) = 0

Solving for dy/dx gives us: dy/dx = (16y^2)/(6y^5 - 32xy)

Now, we can plug in the values for x and y into the derivative and integrate from the lower bound to the upper bound to find the arc length:

L = ∫√(1 + (dy/dx)^2) dx
L = ∫√(1 + ((16y^2)/(6y^5 - 32xy))^2) dx
L = ∫√(1 + (256y^4)/(36y^10 - 384xy^6 + 1024x^2y^4)) dx
L = ∫√((36y^10 - 384xy^6 + 1024x^2y^4 + 256y^4)/(36y^10 - 384xy^6 + 1024x^2y^4)) dx
L = ∫√((36y^10 - 384xy^6 + 1024x^2y^4 + 256y^4)/(36y^10 - 384xy^6 + 1024x^2y^4)) dx

L = ∫√((36y^10 - 384xy^6 + 1280x^2y^4)/(36y^10 - 384xy^6 + 1024x^2y^4)) dx
L = ∫√((36y^10 - 384xy^6 + 1280x^2y^4)/(36y^10 - 384xy^6 + 1024x^2y^4)) dx
L = ∫√((9y^10 - 96xy^6 + 320x^2y^4)/(9y^10 - 96xy^6 + 256x^2y^4)) dx
L = ∫√((y^10 - 10.6667xy^6 + 35.5556x^2y^4)/(y^10 - 10.6667xy^6 + 28.4444x^2y^4)) dx
Integrating from the lower bound of x = 9/16 to the upper bound of x = 737/144 gives us the arc length: L = 2.892

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\(g(x) = - 2x + 1 \\ 5 = - 2x + 1\)

Solve for the x-term.

\(2x = - 5 + 1 \\ 2x = - 4 \\ x = \frac{ - 4}{2} \\ x = \frac{ \cancel{ - 4} \: \: \: - 2}{ \cancel{2} \: \: \: 1} \Longrightarrow \: \frac{ - 2}{1} \\ x = - 2\)

Answer Check

Substitute x = -2 in the equation.

\(5 = - 2( - 2) + 1 \\ 5 = 4 + 1 \\ 5 = 5\)

The equation is true. Therefore x = -2 is the answer.

x = -2

Answer:

Option A

Step-by-step explanation:

Land area of Charlotte, NC = \(3\times 10^2\) square miles

Scale to be used,

1 square miles = \(6.4\times 10^2\) square acres

By this scale,

\(3\times 10^2\) square miles = \((6.4\times 10^2)\times(3.2\times 10^2)\) square acres

                                  = \((6.4\times 3)\times 10^{2+2}\)

                                  = \(19.2\times 10^4\) square acres

                                  = \(1.92\times 10^5\) square acres

Therefore, Option A will be the correct option.

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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Answer:

....................

Zeros of the given polynomial are -2, 2, -3/2, 3/2

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

Given a polynomial 1/4(4\(x^{4}\) - 25\(x^{2}\) + 36)

1/4(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

4\(x^{4}\) - 16\(x^{2}\) - 9\(x^{2}\) + 36= 0

4\(x^{4}\)(\(x^{2}\) - 4) - 9(\(x^{2}\) - 4) = 0

(4\(x^{4}\)-9)(\(x^{2}\) - 4) = 0

(x+2)(x-2)(2x+3)(2x-3) = 0

x = -2, 2, -3/2, 3/2

Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2

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The claim made by the maker of one of the video games is not supported by the given confidence interval. The interval (1.5, 3.8) represents the estimated difference in the mean number of hours per week spent playing the two games.

To determine whether the claim is supported or not, we need to examine the interval. Option A states that the claim is supported because 0 is not contained in the interval. However, the interval (-∞, ∞) contains all possible values, including 0. Therefore, option A is incorrect.

Option B, which mentions the midpoint of the interval being greater than 1, is not a valid criterion for evaluating the claim. The midpoint of the interval does not provide any information about the claim itself. Hence, option B is incorrect.

Option C suggests that the claim is supported because the margin of error for the estimate is less than 1. However, the margin of error is not provided in the question. Therefore, option C cannot be determined based on the given information.

Option D states that the margin of error for the estimate is greater than 1, but the margin of error is not given. Without this information, we cannot evaluate option D.

The correct answer is option E: No, because 0 is not contained in the interval. A confidence interval that does not contain 0 suggests that there is a statistically significant difference in the mean number of hours per week spent playing the two games.

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We can solve for c1 and c2 using these initial conditions, but we cannot determine y_p(t) without more information about g(t).

The given differential equation is:

4y'' + 4y' + 17y = g(t)

where y(0) = 0 and y'(0) = 0.

This is a second-order linear differential equation with constant coefficients. To solve this, we first find the characteristic equation:

4r^2 + 4r + 17 = 0

Using the quadratic formula, we get:

r = (-4 ± sqrt(4^2 - 4(4)(17))) / (2(4))

r = (-4 ± sqrt(-48)) / 8

r = (-1 ± i sqrt(3)) / 2

The characteristic roots are complex and conjugate, so the solution to the homogeneous equation is:

y_h(t) = c1 e^(-t/2) cos((sqrt(3)/2)t) + c2 e^(-t/2) sin((sqrt(3)/2)t)

To find the particular solution, we need to determine the form of g(t). Without more information about g(t), we cannot determine a particular solution. Therefore, we write:

y(t) = y_h(t) + y_p(t)

where y_p(t) is the particular solution.

Since y(0) = 0 and y'(0) = 0, we have:

0 = y(0) = y_h(0) + y_p(0)

0 = y'(0) = (-1/2)c1 + (sqrt(3)/2)c2 + y_p'(0)

We can solve for c1 and c2 using these initial conditions, but we cannot determine y_p(t) without more information about g(t).

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There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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The t-percentile defines the boundaries of the confidence interval and is equal to the critical value of t with a positive or negative sign, depending on whether the confidence interval is one-sided or two-sided.

A t-distribution table determines the t-percentile required to construct two-sided confidence intervals. The first step in determining the t-percentile is to know the degrees of freedom and confidence level. The next step is to find the critical value of t from a t-distribution table. The t-distribution table lists values for the probability density function, cumulative distribution function, and percentile points of the t-distribution.

The table is arranged in rows and columns, with the rows corresponding to the degrees of freedom and the columns corresponding to the significance level. The critical value of t is the value that separates the central area of the t-distribution from the tails of the distribution. It is used to define the boundaries of the confidence interval. The t-value is the same as the critical value of t, but it has a positive or negative sign depending on whether the confidence interval is one-sided or two-sided. The t-percentile that is required to construct two-sided confidence intervals is given by the following steps:

Step 1: To determine the t-percentile, the degrees of freedom and confidence level are needed.

Step 2: Find the critical value of t from a t-distribution table.

(a) 95% confidence level, 15 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 15, a 95% confidence level, the value of t is found to be 2.1318. Therefore, to construct the confidence interval, the t-value is ± 2.1318.

(b) 95% confidence level, 24 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 24, a 95% confidence level, the value of t is 2.064. Therefore, to construct the confidence interval, the t-value is ± 2.064.

(c) 99% confidence level, 13 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 13, a 99% confidence level, the value of t is 3.012. Therefore, to construct the confidence interval, the t-value is ± 3.012.

(d) 99.9% confidence level, 15 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 15, a 99.9% confidence level, the value of t is found to be 3.579. Therefore, to construct the confidence interval, the t-value is ± 3.579.

The t-percentile can be found using a t-distribution table, which lists the critical value of t for different degrees of freedom and significance levels. The t-percentile defines the boundaries of the confidence interval and is equal to the critical value of t with a positive or negative sign, depending on whether the confidence interval is one-sided or two-sided.

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Answer:

the ratio is 1:5 or 20%

Step-by-step explanation:

3(steak)+2(chicken) + 5(potato) = 10(all tacos)

2(chicken tacos)/10(all tacos) = 1/5 or 0.2

The ratio of the amount Joe saved the money against Keith is 1:2.

A ratio in mathematics demonstrates how many times one number is present in another.

For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

Ratios contrast two figures by ordinarily dividing them.

A/B would be your formula if you were comparing one data point (A) to another data point (B).

This indicates that you are multiplying information A by information B.

For instance, your ratio will be 5/10 if A is 5 and B is 10.

So, the total money saved is $45.

Joey saved $15.

Then, Keith saved:
45 - 15 = 30

The ratio would be:

15/30

1/2

1:2

Therefore, the ratio of the amount Joe saved the money against Keith is 1:2.

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Answer:

Step-by-step explanation:

Change into improper fraction

\(-2\frac{5}{8}*4\frac{1}{3}=\frac{-21}{8}*\frac{13}{3}\\\\ = \frac{-7}{8}*\frac{13}{1}\\\\=\frac{-91}{8}\\\\=-11\frac{3}{8}\)

Answer:

x = 34

Step-by-step explanation:

(x - 9(16/8)) = 16

(x - 9(2)) = 16                        Divide 16 and 8

x - 18 = 16                             Multiply 9 and 2

x = 34                                   Add 18 to both sides

Answer:

The fourth option - t = 3, y = 5

Step-by-step explanation:

-8 + t becomes -5, thus t is 3 since -8 + 3 = -5.

-12 becomes -2y - 2, so we can set these equal to each other as -2y - 2 = -12 and solve from there. Add 2 to both sides, -2y = -10, then divide by -2 on both sides, y = 5.

The value of t is 3.

the value of y is 5.

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Good luck on your assignment

The correct option of the given statement "Using the VSEPR model, the molecular geometry of the central atom in NCl_3"  is e.pyramidal.

The VSEPR (Valence Shell Electron Pair Repulsion) model is a theory used to predict the molecular geometry of a molecule based on the arrangement of its atoms and the valence electron pairs around the central atom.

In the case of NCl3, nitrogen (N) is the central atom. To determine its molecular geometry using the VSEPR model, we need to consider the number of valence electrons and the number of bonded and lone pairs of electrons around the central atom.

Nitrogen has 5 valence electrons, and chlorine (Cl) has 7 valence electrons. Since there are three chlorine atoms bonded to the nitrogen atom, we have a total of (3 × 7) + 5 = 26 valence electrons. To distribute the electrons, we first place the three chlorine atoms around the nitrogen atom, forming three N-Cl bonds. Each bond consists of a shared pair of electrons.

Next, we distribute the remaining electrons as lone pairs on the nitrogen atom. Since we have 26 valence electrons and three bonds, we subtract 6 electrons for the three bonds (3 × 2) to get 20 remaining electrons. We place these 20 electrons as lone pairs around the nitrogen atom, with each lone pair consisting of two electrons.

After distributing the electrons, we find that the NCl3 molecule has one lone pair of electrons and three bonded pairs. According to the VSEPR model, this arrangement corresponds to the trigonal pyramidal geometry.


Remember, the VSEPR model allows us to predict molecular geometry based on the arrangement of electron pairs, whether they are bonded or lone pairs.

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Hi there! :)

Let’s solve this problem! :)

Remember, the y-intercept of a line is where the graph touches the y-axis.

Let’s look at our graph.

Also, remember that y-intercepts always have an x-coordinate of 0.

So, the y-intercept of the line is

(0, 2)

We can also write this as 2.

Therefore, the y-intercept of this line is 2. (Answer)

Hope it helps. Enjoy your day/night :)

~Just a determined gal willing to help :-)

-Misty Sparkle

Answer:

1920

Step-by-step explanation:

Volume of larger rectangular prism: 10 * 8 * 14 = 1120

Volume of smaller rectangular prism: 10 * 10 * 8 = 800

Volume of whole prism: 1120 + 800 = 1920

Hence, your answer is 1920