A 16-ft ladder leans against a building as shown below. To the nearest foot, how far is the base of the ladder from the building?

Answer:

$3.9K is the profit made from 100 TVs

Step-by-step explanation:

Step-by-step explanation:

the profit is defined by

Profit=Gain-cost

In this case (F-g)(100)= is the profit to sell 100 television and is calculated

F(x)-g(x)=4x+5000-(20x-500)=4x-20x+5000+500=-16x+5500=-16*(100)+5500=3900

3900=3.9k

Answer: 3,900 PROFIT MADE from 100 tv

Step-by-step explanation:

The value of the Test Statistic for this hypothesis test under the given condition round Z to the 100ths place is 1.96.

in the case of finding out that if Gingko is effective in improving short term memory we need to use hypothesis test considering there are two possibilities in null hypothesis

Ha: μ1 = μ2 ----( there is no difference measured between means of two groups)

Hb: μ1 ≠μ2 ------( there is difference measured between means of two groups)

formula for this test statistics is

\(Z = (x'1 - x'2) / \sqrt{(s1^2/n1 + s2^2/n2)}\)

here,

x'1 and x'2 = sample means

s1 and s2 = sample standard deviation

n1 and n2 = sample sizes

hence, the values are

x'1 = 6.1

x'2 = 5.6

s1 = 1.2

s2 = 1

n1 = 100

n2 = 105

staging the values in the given equation

\(Z = (6.1 - 5.6) / \sqrt{(1.2^2/100 + 1^2/105) }\)

≈ 1.96

The value of the Test Statistic for this hypothesis test under the given condition round Z to the 100ths place is 1.96.

Hence the value is greater than of z at α/2 = 0.025 we conclude that Gingko is effective in improving short term memory. so the supplements are effective.

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P(X > 20) has a rounded value of 0.0475.

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

To find P(X > 20), where X is a normal random variable with mean μ = 15 seconds and standard deviation σ = 3 seconds, we need to standardize the variable and use the standard normal distribution.

Let Z be a standard normal random variable, then we can standardize X as follows:

Z = (X - μ) / σ = (20 - 15) / 3 = 1.67

Using a standard normal table or calculator, we can find the probability:

P(Z > 1.67) = 0.0475 (rounded to four decimal places)

Therefore, P(X > 20) has a rounded value of 0.0475.

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When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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Answer:

76 quarters, 3 dimes

Step-by-step explanation:

if the whole number is 19, you would have to figure out how many quarters would be in 19$. 76 quarters are in 19$. then you would have to figure out how many dimes are in 30 cents, there are 3 dimes in 230 cents

Answer:

66 Quarters and 28 dimes

Step-by-step explanation:

.10d + .25Q = 19.3Q

d + Q = 94

so d = 94 - Q

Substitution method:

.10(94 - Q) + .25Q = 19.30

9.4 - .10Q + .25Q = 19.30

9.4 + .15Q = 19.30

.15Q = 9.9

Q = 66 so d = 94 - 66 = 28

the overall speedup in percentage is approximately 22.47%. This means that the system's execution time is improved by approximately 22.47% after the disk upgrade is applied.

Amdahl's Law is used to calculate the overall speedup of a system when only a portion of the system's execution time is improved. The formula for Amdahl's Law is: Speedup = 1 / [(1 - P) + (P / S)], where P represents the proportion of the execution time that is improved and S represents the speedup achieved for that proportion.

In this case, the system spends 55% of its time on I/O, so P = 0.55. The disk upgrade provides for 50% greater throughput, which means S = 1 + 0.5 = 1.5.

Plugging these values into the Amdahl's Law formula, we have Speedup = 1 / [(1 - 0.55) + (0.55 / 1.5)].

Simplifying further, we get Speedup = 1 / [0.45 + 0.3667].

Calculating the expression in the denominator, we find Speedup = 1 / 0.8167 ≈ 1.2247.

Therefore, the overall speedup in percentage is approximately 22.47%. This means that the system's execution time is improved by approximately 22.47% after the disk upgrade is applied.

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In a proof of the Pythagorean Theorem using similarity, the geometric mean (altitude) theorem allows us to state that the triangles are similar.

The geometric mean (altitude) theorem states that if a line is drawn parallel to the base of a right triangle, it divides the two legs of the triangle into segments proportional to the lengths of the legs.

In other words, the ratio of the lengths of the segments formed by the line is equal to the ratio of the lengths of the legs.

In the proof of the Pythagorean Theorem, we can use this theorem to show that the smaller triangles formed by drawing a line parallel to the hypotenuse are similar to the original right triangle.

Since the triangles are similar, we can write true proportions using the lengths of the sides.

For example, let's say we have a right triangle with legs of length a and b and a hypotenuse of length c.

By drawing a line parallel to the hypotenuse, we create two smaller triangles with legs of length x and y.

According to the geometric mean (altitude) theorem, we can write the proportion:

a/x = c/y

Similarly, we can write the proportion:

b/y = c/x

These proportions allow us to establish the relationship between the lengths of the sides of the right triangle and ultimately prove the Pythagorean Theorem.

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Answer:

-4 and 9/10

Step-by-step explanation:

Since everything in parentheses is simplified, you just subtract like terms.

(-1/2)-(1/5)

(5/10)-(2/10)

(-7/10)

9^2 - 9^2 = 0

(-4/5)+(1/10)        (It's a plus sign because the (1/10) was negative and since you are subtracting (two negatives make a positive) it turns positive.

(-8/10) + (1/10)

(-7/10)

(-7/10)^2

(-49/10)

-4 9/10

Answer:

Step-by-step explanation: (96pi + 160)

cm^2

\((6x^{4} )(3x^{2} )\) is equivalent to (6*3)\(x^{4+2}\) .

The Prοduct οf pοwers rule is expressed as

Twο οr mοre expοnential terms with same pοwer are οften invοlved in multiplicatiοn in mathematics but it is impοssible fοr multiplying them directly same as the numbers. Hence, a special prοduct rule is required tο multiply the indices with same expοnent. In this case, the bases οf the expοnential terms can be same οr different.

A prοperty fοr multiplying the expοnents with same pοwer is derived in mathematical fοrm. It expresses that the prοduct οf twο οr mοre expοnents with same pοwer is equal tο the pοwer οf a prοduct οf the bases.

The prοduct οf expοnents with same pοwer is written as pοwer οf a prοduct οf the bases.

The pοwer οf an expοnent with a base is written as prοduct οf expοnents with different bases.

It says that if the bases are the same and are multiplying, the pοwers will add up.

The expression is given as: \((6x^{4} )(3x^{2} )\).

The 6 and 3 will get multiplied and the powers of x will add up.

The correct answer is (6*3)\(x^{4+2}\).

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As per the question, in context of mathematics the relation between 2 and 2 is equality relationship.

n mathematics, an equality relationship is a relationship between two quantities or expressions that are equal to each other. This relationship is represented using the equals sign (=).

Relations are important in mathematics because they allow us to describe and analyze the relationships between different quantities or values. Relations can be used to describe how two quantities are related to each other, such as whether they are equal, greater than, or less than each other.

The relationship between 2 and 2 is that they are both equal to each other. In mathematics, two is a number that is equal to the sum of one plus one. It is a cardinal number, which means it is used to count the number of objects in a set. Two is also an even number, which means it is divisible by 2 without a remainder.

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Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

A function \(P(t) = 170.(1.30)^t\)  that gives the deer population P(t) on the reservation t years from now

We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.

We could see the deer population grow exponentially since each year there will be 30% more than last year.

Since we know that an exponential growth function is in form:

\(f(x) = a*(1+r)^x\)

where a= initial value, r= growth rate in decimal form.

It is given that a= 170 and r= 30%.    

Let us convert our given growth rate in decimal form.

\(30 percent = \frac{30}{100} = 0.30\)

Upon substituting our given values in exponential function form we will get,

    \(P(t) = 170.(1+0.30)^t\)

⇒ \(P(t)= 170.(1.30)^t\)

Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.

Complete Question:

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.

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No, this not plagiarism .You can use generally accepted facts without citing them.

What defines self-plagiarism?

Self-plagiarism is defined as a type of plagiarism in which the writer republishes a work in its entirety or reuses portions of a previously written text while authoring a new work.

What is considered general knowledge in plagiarism?

How to Avoid plagiarism common knowledge?

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Jody has created a systematic sampling error by forgetting to include a segment of the population that is relevant to the study.

Systematic sampling is a sampling method where every nth member of a population is selected to be part of the sample. In Jody's case, she forgot to include a specific segment of the population, which means that the sampling process was not systematic. This error can introduce bias and affect the representativeness of the sample.

No calculations are required for this type of error.

Jody's mistake in not including a relevant segment of the population has resulted in a systematic sampling error. To ensure the accuracy and validity of the study, it is important to rectify this error by including the missing segment or adjusting the sampling method accordingly.

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Answer:

x ≤ - 2

Step-by-step explanation:

Given

- 3x + 3 ≥ 9 ( subtract 3 from both sides )

- 3x ≥ 6

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - 2

Answer:

x<or equal to -2

Step-by-step explanation:

-3x>or equal to 9-3

-3x>or equal to 6(dividing both of them by -3)

x<or equal to -2

Answer:

The maximal area of the rectangle with the perimeter of 20 feet is 5*5 = 25 square feet.

So, the area can not be 26 square feet.

Step-by-step explanation:

The percentage of category shelf facings for Brand F is 10% out of the total facings allotted for all brands in that category, based on the information provided.

To calculate the percentage of category shelf facings for Brand F, we need to determine the proportion of shelf facings allotted to Brand F out of the total facings allotted for all brands in that category.
Company U has 100 outlets, and half of those outlets carry Brand F. This means that there are 50 outlets that carry Brand F.
Out of the 50 facings allotted for all brands in that category, Company U allots Brand F 5 shelf facings.
To find the percentage, we divide the facings allotted to Brand F (5) by the total facings allotted for all brands in the category (50), and then multiply by 100 to express it as a percentage.
(5 facings / 50 facings) * 100 = 10%
Therefore, the percentage of category shelf facings for Brand F is 10%. This indicates that Brand F occupies 10% of the available shelf space in the category across Company U's outlets.



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Answer:

20000

Step-by-step explanation:

The statement is true. In a right triangle, one of the angles is always a right angle, which measures 90°.

Therefore, the sum of the measures of the two remaining acute angles must be 90°, since the three angles of any triangle always add up to 180°. This is a fundamental property of right triangles that is always true, regardless of the size or shape of the triangle.


In a right triangle, one angle measures 90°, and the other two angles are acute angles. By the Angle Sum Property of a triangle, the sum of the measures of the three angles in a triangle is always 180°. Since one angle in a right triangle is 90°, the sum of the other two acute angles must be 90° as well.

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we can use the information given about its growth rate and the height after 4.5 years:So, it took 7 years from the time Vlad moved in until the tree was 357 centimeters tall.

Height increase per year = 26 centimeters
Years since Vlad moved in = 4.5 years
Height after 4.5 years = 292 centimeters
To calculate the initial height of the tree, we can multiply the growth rate by the number of years and add it to the starting height:
Initial height = Height after 4.5 years - (Height increase per year x Years since Vlad moved in)
Initial height = 292 - (26 x 4.5)
Initial height = 168 centimeters
Therefore, the tree was 168 centimeters tall when Vlad moved into the house.
To find out how many years passed from the time Vlad moved in until the tree was 357 centimeters tall, we can use the same formula and solve for the number of years:
Height increase per year = 26 centimeters
Initial height = 168 centimeters
Final height = 357 centimeters
To calculate the number of years, we can rearrange the formula as follows:
Years = (Final height - Initial height) / Height increase per year
Years = (357 - 168) / 26
Years = 6.04 years (rounded to two decimal places)
Therefore, it took approximately 6 years and 1 month for the tree to grow from 168 centimeters to 357 centimeters tall.
To determine the height of the oak tree when Vlad moved into the house, we can use the given information. The tree grows by 26 centimeters each year, and it was 292 centimeters tall after 4.5 years.
First, let's find the total growth during the 4.5 years:
26 cm/year * 4.5 years = 117 cm
Now, subtract the total growth from the current height to find the initial height:
292 cm - 117 cm = 175 cm
So, the oak tree was 175 centimeters tall when Vlad moved into the house.
To find out how many years passed until the tree was 357 centimeters tall, we can use the growth rate again:
First, find the difference in height between the target height (357 cm) and the initial height (175 cm):
357 cm - 175 cm = 182 cm
Now, divide the difference in height by the growth rate to find the number of years:
182 cm / 26 cm/year = 7 years

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Answer:

Step-by-step explanation:

y - y₀ = m(x - x₀)      - point-slope form where m is the slope and the point is (x₀,y₀)

m = -1

(-2, 3)    ⇒    x₀ = -2,    y₀ = 3

y - 3 = -1(x - (- 2))

y - 3 = - (x + 2)

Angelina drove for  0.83 hours (or approximately 50 minutes) before her stop.

The equation that could be used to solve for the time $t$ in hours that Angelina drove before her stop is:

$80t + 100(3 - t - \frac{1}{3}) = 250$

Let's break down the information given. Angelina drove at an average rate of 80 kph for a certain amount of time, which we want to find. After that, she stopped for 20 minutes (or $\frac{1}{3}$ of an hour) for gas. Then, she continued driving at an average rate of 100 kph. The total trip time, including the stop, was 3 hours.

To solve for the time Angelina drove before her stop, we can set up an equation based on the distance she traveled. The distance traveled at 80 kph is given by $80t$, where $t$ represents the time in hours. The distance traveled after the stop at 100 kph is $100(3 - t - \frac{1}{3})$, where $3 - t - \frac{1}{3}$ represents the remaining time after the stop.

The sum of these distances should equal the total distance traveled, which is 250 km. Therefore, we set up the equation $80t + 100(3 - t - \frac{1}{3}) = 250$.

By solving this equation, we can find the value of $t$, which represents the time in hours that Angelina drove before her stop.

To solve the equation, we can start by simplifying the expression on the right side:

$80t + 100(3 - t - \frac{1}{3}) = 250$

First, we can simplify the expression $3 - t - \frac{1}{3}$:

$3 - t - \frac{1}{3} = 2\frac{2}{3} - t = \frac{8}{3} - t$

Now, we substitute this expression back into the equation:

$80t + 100(\frac{8}{3} - t) = 250$

Next, we distribute the 100 to both terms inside the parentheses:

$80t + \frac{800}{3} - 100t = 250$

Combining like terms:

$-20t + \frac{800}{3} = 250$

To isolate the variable $t$, we can subtract $\frac{800}{3}$ from both sides:

$-20t = 250 - \frac{800}{3}$

To simplify the right side, we need a common denominator for 250 and $\frac{800}{3}$, which is 3:

$-20t = \frac{750}{3} - \frac{800}{3}$

Subtracting the fractions:

$-20t = \frac{-50}{3}$

Finally, we divide both sides by -20 to solve for $t$:

$t = \frac{\frac{-50}{3}}{-20} = \frac{50}{60} = \frac{5}{6}$

Therefore, Angelina drove for $\frac{5}{6}$ or 0.83 hours (or approximately 50 minutes) before her stop.

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Answer:

I think its the last option , the pie squared over 16

Answer:

Step-by-step explanation:

(x+7)/2=6

x + 7 = 12

x = 5

(y + 10)/2 = 5

y + 10 = 10

y = 0

(5, 0)

answer is B

Answer:

whatever they said :D

Step-by-step explanation:

Answer:

a^n+a^n+1

2a^n+1

1(2a^n+1)

The rules of the scale factor has been explained

The scale factor is the ratio of the dimension of the new figure to the dimensions of the original figure.

The equation will be

Th scale factor = The dimensions of new figure ÷ Dimensions of the original figure

The values of the scale factor can be divided into three cases

When, scale factor greater than 1

The size of the new figure will be greater than original figure

When scale factor between 0 and 1

The size of the new figure will be less than original figure

When scale factor is equal to 1

The size of the new figure and original figure are same

Therefore, these are the rules of scale factor

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Answer:

57°

Step-by-step explanation:

Angle b and 33° are complementary angles and their sum is 90°.

By vertical angles theorem, ∠1≅∠3 and ∠2≅∠4. Therefore, option B is the correct answer.

Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

From the given figure,

By vertical angles theorem, we have

Angle 1 and angle 3 are congruent.

Angle 2 and angle 4 are congruent

Therefore, option B is the correct answer.

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Answer:

The correct answer is Option B: Quadrants II and III have negative x-coordinates.

Just FYI: Quadrants II and III have both positive and negative y-coordinates.