Quadrilateral ABCD is a parallelogram. If m

Answer:

-1.5

Step-by-step explanation:

Hope this helps .

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Thank if correct :)

Answer:

\(\large \boxed{ (p+6)(p-6) }\)

Step-by-step explanation:

\(p^2 - 36\)

Rewrite 36 as 6 squared.

\(p^2 - 6^2\)

Apply difference of two squares formula:

\(a^2-b^2 =(a+b)(a-b)\)

\(a=p\\b=6\)

\(p^2 - 6^2=(p+6)(p-6)\)

Answer:

since is its a possibility of 7 or 11 we add the individual probabilities

so the answer is 1/6+ 1/18=3/18+1/18=4/18=2/9

2/9.

I hope now you'll understand

The ratio o\(f $a_1$ to $a_2$\)is equal to the ratio of \($b_2$ to $b_1$.\)

Hello! In this scenario, we are given that $a$ is inversely proportional to $b$. This means that as $b$ increases, $a$ will decrease, and vice versa.

Let's consider two nonzero values of $a$ called $a_1$ and $a_2$. We want to find the relationship between these two values.

According to the inverse proportionality, we have the equation:

\($a_1 \cdot b_1 = k$\)

where $b_1$ is the corresponding value of $b$ for $a_1$ and $k$ is a constant of proportionality.

Similarly, we have:

\($a_2 \cdot b_2 = k$\)
where $b_2$ is the corresponding value of $b$ for $a_2$.

To find the relationship between $a_1$ and $a_2$, we can divide the two equations:

\($\frac{a_1 \cdot b_1}{a_2 \cdot b_2} = \frac{k}{k}$\)

Simplifying this equation, we get:

\($\frac{a_1}{a_2} = \frac{b_2}{b_1}$\)

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Answer:

Graph below

Step-by-step explanation:

Graph of a Function

We are given the function

y = f(x) = -4/3x + 8

Since this is the equation of a line, we only need two points to draw the graph, but we'll calculate some points more.

Select values for x={-3, 0, 3, 6, 9}

For x=-3:

y = -4/3(-3) + 8 = 4 + 8 = 12

Point (-3,12)

For x=0:

y = -4/3(0) + 8 = 0 + 8 = 8

Point (0,8)

For x=3:

y = -4/3(3) + 8 = -4 + 8 = 4

Point (3,4)

For x=6:

y = -4/3(6) + 8 = -8 + 8 = 0

Point (6,0)

For x=9:

y = -4/3(9) + 8 = -12 + 8 = -4

Point (9,-4)

Now plot the points in a rectangular grid and join them. The graph is shown below.

f(x): Horizontal asymptote: y = 0.8x

Y-intercept: (0, 0)

h(x): Horizontal asymptote: y = 0.8x

Y-intercept: (0, -10)

For the function f(x) = 0.8x:

Horizontal asymptote: Since the coefficient of x is 0.8, the function approaches y = 0.8x as x approaches positive or negative infinity. So, the horizontal asymptote is y = 0.8x.

Y-intercept: To find the y-intercept, we set x = 0 in the equation f(x) = 0.8x:

f(0) = 0.8(0) = 0

Therefore, the y-intercept is (0, 0).

For the function h(x) = 0.8x - 10:

Horizontal asymptote: Similar to the previous function, the coefficient of x is 0.8. Hence, the horizontal asymptote is y = 0.8x.

Y-intercept: We can find the y-intercept by setting x = 0 in the equation h(x) = 0.8x - 10:

h(0) = 0.8(0) - 10 = -10

Therefore, the y-intercept is (0, -10).

To summarize:

f(x): Horizontal asymptote: y = 0.8x

Y-intercept: (0, 0)

h(x): Horizontal asymptote: y = 0.8x

Y-intercept: (0, -10)

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the height of Meredith's tracing is approximately 223.09 inches. To find the height of Meredith's tracing, we need to use the scale that she is using to draw the rectangular swimming pool.

We know that Marcy's scale is 3 inches to 4 feet, which means that 1 inch represents 4/3 feet. Let's convert the width of the pool from feet to inches using Marcy's scale:

Width of pool in inches = 26 feet * (3 inches/4 feet) = 19.5 inches

Now, we can use Meredith's width of 14 inches to find the scale that she is using. Since the width of the pool on Meredith's tracing is 14 inches, we can set up the following equation:

1 inch on Meredith's scale = 19.5 inches on Marcy's scale

Solving for the scale factor, we get:

1 inch on Meredith's scale = (19.5 inches)/(14 inches) = 1.3929

This means that 1 inch on Meredith's scale represents 1.3929 feet. Now, we can use this scale to find the height of Meredith's tracing. We know that the length of the pool is not given, but since it is a rectangular pool, the height should be proportional to the width. Specifically, the height should be:

Height of pool in feet = (height/width) * 26 feet

We can use Meredith's scale to convert this to inches:

Height of pool in inches = (height/width) * 26 feet * (12 inches/foot) * (1 inch/1.3929 feet)

Simplifying this expression, we get:

Height of pool in inches = 22.243 * (height/width)      

Now, we can use the given width of Meredith's tracing (14 inches) and the scale factor (1.3929) to find the height of her tracing:

Height of Meredith's tracing = 14 inches * (22.243/1.3929) = 223.09 inches

Therefore, the height of Meredith's tracing is approximately 223.09 inches.

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The length of RU in triangle is,

⇒ RU = 16

We have o given that;

In triangle;

ST = 37

UT = 35

RS = 20

Hence, By using definition of Pythagoras theorem we get;

In triangle STU;

⇒ ST² = SU² + UT²

⇒ 37² = SU² + 35²

⇒ 1369 = SU² + 1225

⇒ SU² = 144

⇒ SU = 12

Hence, In triangle RSU;

⇒ RS² = SU² + RU²

⇒ 20² = 12² + RU²

⇒ 400 - 144 = RU²

⇒ RU² = 256

⇒ RU = 16

Thus, The length of RU in triangle is,

⇒ RU = 16

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A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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\( \frac{16}{x} = \frac{192}{156} \\ = > \frac{x}{16} = \frac{156}{192} \\ = > x = \frac{156}{192} \times 16 \\ = > x = \frac{156}{12} \\ = > x = 13\)

x = 13

Answer:

X = 13

Step-by-step explanation:

\( \frac{16}{x} = \frac{192}{156} \\ by \: doing \: cross \: multiplication \\ 192x = 16 \times 156 \\ x = \frac{16 \times 156}{192} \\ x = 13\)

The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115

According to the statement

we have to find that the what percent of the population has an iq over 115.

And from given information,

the mean iq score is 100 and the standard deviation is 15.

And

Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

And by use of this formula, we find the percentage of the population has an iq over 115.

Then the result will comes as 100%.

hence, 100%-Norm.Dist(value,mean,sd,true)

So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.

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The percentage of individuals surveyed that are older than 14 but younger than 20 would be = 24%.

The histogram is a graphical representation that can be used to represent results in bars of equal widths with different heights.

The total number of people that are older than 14 but younger than 20 = 18

The total number of attendees = 20+18+25+12 = 75

The percentage of 75 that is 18 is calculated as follows;

= 18/75 × 100/1

= 1800/75

= 24%

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Answer: $892.44

Step-by-step explanation:

Take 27 times 18.66 = $503.82

Then take 34 times 11.43 = $388.62

Then add them to find total

503.82 + 388.62 = $892.44

The owner only owe $892.44

The above graph represents Baile's Distance-Time Graph. The data on the graph came from her trip which is explained below.

A distance-time graph can be used to show the distance traveled by a straight-line moving object.

In a distance-time graph, the gradient of the line matches the item's speed. The gradient increases as the thing go faster (and the steeper the line).

So Bailey took off from her home on a power bike at the rate of 7.5 miles per hour. After 4 hours, she got to the bank to carry out an important transaction.

At the bank, she ended up spending two hours. Feeling frustrated for having wasted a lot of time at the bank, she took off to the Baseball game at a whopping 30 miles/hour.

As soon as she got to the game, she recalled that she forgot her ticket and turn back immediately traveling back home at the rate of 15 miles per hour.

Unfortunately, she decided to watch the rematch of the game online

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A variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called the dummy variable.

We know that,

A dummy variable is a binary variable that takes a value of 0 or 1.

In regression analysis, a dummy variable is one that takes only the value 0 or 1 to indicate the absence or presence of some categorical effect that may be expected to shift the outcome.

The number of dummy variables we must create is equal to k - 1, where k is the number of different values that the categorical variable can take on.

It is an artificial variable created to represent an attribute with two or more distinct categories/levels.

These are being used in order to sort out data into mutually exclusive groups.

It is used typically in time series analysis, response modelling, bio-medical studies, economic forecasting and credit scoring.

Therefore, a variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called the dummy variable.

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The linear model that represents how much the smoothie shop makes, y, for selling x smoothies in a day is y = 3x - 150.

The equation y = 3x - 150 is derived from the given information about the smoothie shop's earnings and costs. The variable x represents the number of smoothies sold in a day.

The revenue generated by selling smoothies is calculated by multiplying the number of smoothies sold (x) by the price per smoothie, which is $3. This gives us the term 3x.

However, the smoothie shop incurs additional costs of $150 per day, which are subtracted from the revenue to calculate the profit (y). Hence, the constant term of -150 is added to the equation.

By using the equation y = 3x - 150, we can determine the shop's profit for any given number of smoothies sold in a day. The coefficient of 3 indicates that the profit increases by $3 for each additional smoothie sold, while the constant term of -150 represents the daily costs that need to be subtracted from the revenue.

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Answer:

C) 3x

Step-by-step explanation:

There are three feet in a yard. Yards are represented by x in this problem and therefore the answer is 3x.

Answer:

2x - 8 = 50

Step-by-step explanation:

∠ CBD and ∠ ABE are vertically opposite angles and are congruent , then

2x - 8 = 50

Answer:

ill help

Step-by-step explanation:

Answer:

A. The function is always decreasing

Step-by-step explanation:

we read a graph from left to right, so we can always compare the increase/decrease of a function by seeing how an x value compares with an x value to the left

(I am aware that this paragraph is really confusing)

we can see that as x increases, from -∞ to 0,

y decreases in correspondence

and that as x increases, from 0 to ∞,

y decreases in correspondence also

So, even though the graph doesn't quite look like it, when x < 0; the function decreases, when x > 0; function decreases--so the function is always decreasing

hope this helps!! have a lovely day :)

To calculate the required equity funding in a Leveraged Buyout (LBO) acquisition of Blurasberries Inc., you would need specific financial information and details about the transaction. The equity funding is typically a portion of the total purchase price that the acquiring entity (the private equity firm or investor) must contribute in cash to acquire the target company.

Here are the general steps to calculate the required equity funding:

1. Determine the total purchase price: This includes the enterprise value of the target company, which is usually based on factors such as its financial performance, market position, growth prospects, and comparable transactions in the industry.

2. Assess the capital structure: Determine the desired capital structure for the acquisition, which includes the proportion of debt and equity funding. The debt component is typically raised through bank loans or bonds, while the equity component is the cash contribution from the acquiring entity.

3. Calculate the debt portion: Based on the desired capital structure, estimate the amount of debt financing required for the LBO. This can involve analyzing the target company's cash flows, assets, and debt capacity, as well as negotiating with lenders.

4. Determine the equity portion: The equity funding is the remaining portion of the total purchase price after subtracting the debt financing. It represents the cash contribution from the acquiring entity or the private equity firm. This amount will depend on factors such as the leverage ratio, return expectations, and investor preferences.

It's important to note that the calculation of the required equity funding in an LBO acquisition can be complex and involve various financial considerations. It's advisable to work with financial professionals, investment bankers, or valuation experts who can assist in conducting a thorough analysis and provide accurate estimates based on the specific details of the transaction.

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The volume of the pyramid sculpture with congruent bases and the same height is 106.4 cubic inches

If the prism can hold 319.2 cubic inches, and the pyramid sculpture has congruent bases and the same height, then the volume of the pyramid sculpture will be one-third (1/3) of the volume of the prism.

Let's denote the volume of the pyramid sculpture as V and the volume of the prism as P. We have the following relationship:

V = (1/3) × P

Substituting the given volume of the prism, we have:

V = (1/3) × 319.2

V = 106.4 cubic inches

Therefore, the volume of the pyramid sculpture with congruent bases and the same height is 106.4 cubic inches.

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Answer: \(x=-3\)

Simplify both sides of the equation

\(1+-2x=-1+8+8x+-8x\)

\(-2x+1=(8x+-8x)+(-1+8)\) (Combine Like Terms)

\(-2x+1=7\)

Subtract 1 from both sides

\(-2x+1-1=7-1\\-2x=6\)

Divide both sides by -2

\(-2x/-2=6/-2\\x=-3\)

Answer:

\(\Huge \boxed{x=-3}\)

Step-by-step explanation:

\(1-2x= -1+8+8x-8x\)

Combining like terms.

\(1-2x= 7\)

Subtracting 1 from both sides.

\(-2x= 7-1\)

\(-2x=6\)

Dividing both sides by -2.

\(x=-3\)

Answer:

Step-by-step explanation:

The calculator results are shown in the attachment.

__

For this question, the Empirical Rule is sufficient to tell you the answer to the nearest percent.

20 hours is 1 standard deviation above the mean (18+2=20) for the C phone. The empirical rule tells you that the probability of being above that value is (1 -68%)/2 = 16%, where 68% is the probability of being within 1 standard deviation of the mean.

20 hours is the mean for the T phone. You know that the normal distribution is symmetrical about its mean, so the probability of being above the mean is 50%.

From the probability, the quantity of various passwords that are conceivable assuming each character might be any lowercase letter or digit is 2,821,109,907,456 passwords

The most effective method to ascertain the probability

The accompanying information can be concluded:

Number of lower case letters = 26

Number of digits = 10

Total Characters = 26 + 10 = 36

Length of secret word = 8

The quantity of various passwords are conceivable assuming each character might be any lowercase letter or digit will be:

= (26+10)⁸ various passwords

= 2,821,109,907,456 passwords

The quantity of various passwords that are conceivable assuming each character might be any lowercase letter or digit, and something like one person should be a digit will be:

= 36⁸ - 26⁸

= 2,612,282,842,880 passwords

Finally, the probability that a substantial secret phrase will be produced will be:

= (36⁸ - 26⁸)/36⁸

= 0.93

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Answer:

Step-by-step explanation:

Domain : all real numbers

Range : All real numbers

x - intercept : none

y- intercept : (0,2)

End behavior : Points diagnally to the right

Answer:

5\(\sqrt{5}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\) , then

\(\sqrt{125}\)

= \(\sqrt{25(5)}\)

= \(\sqrt{25}\) × \(\sqrt{5}\)

= 5\(\sqrt{5}\)

Answer:

taco is 80 cents burrito is 1.50

Step-by-step explanation:

If you make two equations, multiply one of them by two so burritos have the same constant, subtract and find b. Then, substitute b into one of the equations to find t. Hope it helps.   :)

Answer:

c). \(2\sqrt{2}\)

Step-by-step explanation:

It's a right triangle with equal sides (DE == EF).

We know that

\(4^2 = DE^2 + EF^2 = 2\cdot DE^2\\16 = 2\cdot DE^2\\8 = DE^2\\4\cdot2 = DE^2\\2\sqrt{2} = DE\textrm{; because }-2\sqrt{2} = DE\textrm{ doesn't make sense in geometry}\)