3(5x+2)=8x+20
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Answer:

(D)28

Step-by-step explanation:

Height of Triangular Base = 4 inches

Length of the Triangular Base = 7 inches

Base Area \(=\dfrac12 X 4 X 7 =14 $ square inches\)

Height of the Pyramid =6 Inches

Volume of a Pyramid \(=\dfrac13$ X Base Area X Height\)

\(=\dfrac13$ X 14 X 6\\=28 cubic inches\)

The correct option is D.

Answer:

The correct option is D!

Step-by-step explanation:

I took the quiz.

Answer:

log 7

Step-by-step explanation:

Using the rules of logarithms

log x + log y ⇔ log (xy )

log x - log y ⇔ log (\(\frac{x}{y}\) )

Given

log\(\frac{14}{3}\) + log\(\frac{11}{5}\) - log\(\frac{22}{15}\)

= log (\(\frac{14}{3}\) × \(\frac{11}{5}\) ) - log\(\frac{22}{15}\)

= log (\(\frac{154}{15}\) ) - log\(\frac{22}{15}\)

= log ( \(\frac{154}{15}\) ÷ \(\frac{22}{15}\) )

= log (\(\frac{154}{15}\) × \(\frac{15}{22}\) )

= log\(\frac{154}{22}\)

= log 7

The answer closest to the margin of error is option b: 4.2%.

To determine the margin of error at the 95% confidence level for the proportion of likely voters who prefer the incumbent candidate, we can use the formula:

Margin of Error = (Z * √(p*(1-p))/√n)

Where:

Z is the Z-score corresponding to the desired confidence level (95% corresponds to approximately 1.96)

p is the proportion of voters who prefer the incumbent candidate (42% or 0.42)

n is the sample size (350)

Calculating the margin of error:

Margin of Error = (1.96 * √(0.42*(1-0.42))/√350)

Using a calculator, the closest value to the margin of error is approximately 4.2%. Therefore, the answer closest to the margin of error is option b: 4.2%.

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The range of the given data set, 33, 38, 35.5, 39.25, 31.75, is 7.5. The range represents the spread or the difference between the highest and lowest values in the data set.

To calculate the range of a data set, you need to find the difference between the maximum and minimum values.

Given the data set: 33, 38, 35.5, 39.25, 31.75

To determine the maximum value, we can compare the numbers in the data set and identify the highest one. In this case, 39.25 is the largest number.

To find the minimum value, we compare the numbers and identify the smallest one. Here, 31.75 is the smallest number.

Now, we can calculate the range by subtracting the minimum value from the maximum value:

Range = Maximum value - Minimum value

      = 39.25 - 31.75

      = 7.5

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The factors of the function represented by the graph are (x + 4) and (x - 8)

From the question, we have the following parameters that can be used in our computation:

The graph

From the graph, we can see that:

The graph intersects with the x-axis at x = -4 and x = 8

So, we have

x = -4 and x = 8

Set the equations to 0

So, we have

x + 4 = 0 and x - 8 = 0

This means that the factors of the function represented by the graph are (x + 4) and (x - 8)

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The area of the resulting triangle is 280 cm².

When the base and height of a triangle are scaled by a factor of 4, the area of the resulting triangle will be scaled by the square of the scaling factor.

Let's denote the original base and height as b and h, respectively, and the scaling factor as s. The original area of the triangle is given by:

Area = (1/2) * b * h

After scaling, the new base and height become b' = s * b and h' = s * h, respectively. Therefore, the new area of the triangle, denoted as Area', is given by:

Area' = (1/2) * (s * b) * (s * h) = (1/2) * s^2 * (b * h)

Since the area of the original triangle is 35 cm², we have:

35 = (1/2) * b * h

Substituting this into the equation for the new area, we get:

Area' = (1/2) * s^2 * 35

Given that the scaling factor is 4, we can calculate the new area as follows:

Area' = (1/2) * 4^2 * 35 = (1/2) * 16 * 35 = 8 * 35 = 280 cm²

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the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

To find the mean value of the activity time, we can use the three estimates provided: optimistic, most likely, and pessimistic time.

1. The optimistic time is the shortest possible time for completing the activity, which is 11 units.
2. The most likely time is the time that is most likely to be taken to complete the activity, which is 21 units.
3. The pessimistic time is the longest possible time for completing the activity, which is 35 units.

To calculate the mean value, we can use the following formula:
Mean value = (optimistic + 4 * most likely + pessimistic) / 6

Substituting the given values, we get:
Mean value = (11 + 4 * 21 + 35) / 6

Calculating the numerator first:
11 + 4 * 21 + 35 = 11 + 84 + 35 = 130

Now, we can calculate the mean value:
Mean value = 130 / 6

Dividing 130 by 6, we get:
Mean value = 21.67 (rounded to two decimal places)

Therefore, the mean value of the activity time is 21.67.

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

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Answer:

A. The median score of Class A is greater than the median score of Class B.

Step-by-step explanation:

This is the only true statement.

Hope it helps!

Answer:

A the media score of the class A is greater than the media score of class B

Answer:

Basically just add 12 to the hour that you want

Step-by-step explanation:

I'm honestly not sure what you're asking...

but if it was 13 min after 8pm, then it would be 20:13

if it was 18 min after 8pm, then it would be 20:18

Answer:

1111111111111111

Step-by-step explanation:

222222222222

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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The Texas Star® Ferris wheel at the Texas State has diameter of 65 meters.

Circumference -- The distance around the circle (the perimeter of a circle).

Diameter -- The distance from the circle through the circle's center to the circle on the opposite side. (twice the radius)

Radius -- The distance from the center of a circle to the circle (half the diameter). Draw a line segment from the center of the circle to any part of the circle and you have the radius.

                 Circumference(C) = 2d

                 C=π*d

                 π*d=204.1

                 d=204.1/3.14

                 d=65

Hence, the diameter of the wheel is 65 meters .

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We have to calculate how many T-shirts the hay to sell in order to raise $720, including the $60 dollars they already saved.

They earn $12 for every T-shirt, so the amount of money raised is 12x, being x the number of T-shirts.

Then, 12x has to be at least equal to 720-60=660:

Then, if we divide both sides by 12, we get the number of T-shirts they have to sell:

They have to sell at least 55 T-shirts.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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Answer:

$24

Step-by-step explanation:

brainliest plzzz

Answer:

Chris has 30$

Maria has 42$

Step-by-step explanation:

This is a very simple question, let me show you how it is done

First of all, if Maria has 12 more dollars than Chris, therefore we have to find out how much Chris has first. In total, they have 72 and Maria has 12 dollars more than Chris so one way to solve this problem is to subtract 12 leaving us with 60, then we can divide it by 2 leaving us with 30, hence 30$ is the amount of money Chris has. But we're not done yet because we still have to find out how much Maria has, and in order to do that we simply have to add 12 to 30 and this leaves us with 42, Thus Maria has 42$ and Chris has 30$

Hope this Helps!

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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The given equation (4x² - y² - z² = 1) is classified under Hyperboloid of two sheets.

What is Hyperboloid equation?

When a hyperbola is rotated around one of its axes, an open surface is created that is known as a hyperboloid. The surface's general equation is written as (x²/ a²) + (y² / b²) - (z² / c²) = 1

if the surface's transverse axis is along the x axis, its centre is at the origin, and a, b, and c are its primary semi-axes.

As per question given that,

here is the equation of the quadratic surface is,

4x² - y² - z² = 1

Thus surface is a hyperboloid of two sheets.

The sketch of this quadratic surface is the sketch in the 2nd option which is shown below.

i.e. in the upper right corner.

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The risk of developing heart disease is increased by option C: 25–30% for nonsmokers who breathe secondhand smoke at home or at work.

According to the Centers for Disease Control and Prevention (CDC), Nonsmokers who breathe secondhand smoke at home or at work have a 25–30% higher chance of getting heart disease. Additionally, secondhand smoke 20–30% increases the risk of stroke. Secondhand smoking exposure can result in coronary heart disease, heart attacks, and strokes.

Only completely smoke-free environments can totally protect you and your loved ones from the dangers of secondhand smoke. Making sure your home and automobile are properly ventilated is another strategy to safeguard yourself from secondhand smoke. This can assist in lowering the amount of smoke in the air and lowering your exposure.

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Correct question:

How much do nonsmokers increase their risk of developing heart disease by exposing themselves to secondhand smoke at home or work? responses

15 to 20 percent

20 to 25 percent

25 to 30 percent

30 to 35 percent

Answer:

Step-by-step explanation: the area of the shape is the length times width or base times height. It's our length is 12 Are with this eight. And when you multiply 12 times eight, we get 96 feet squared, which is the area of our rectangle. I think its a rectangle.

Answer:

525 dollars

Step-by-step explanation:

simple interest yearly ( year 11 does not count because the question asking at the amount at the  beginning of year 11)

interest=300*0.075*10= 225

the amount in the account : 300+225=525 dollars

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Answer:

its -6 if its wrong let me know

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is from PLATO

There are several theorems that are necessary for AP Calculus BC including: Fundamental Theorem of Calculus, Mean Value Theorem, Intermediate Value Theorem, Extreme Value Theorem, and Rolle's Theorem.

Calculus is a branch of mathematics associated with the study of instantaneous rates of change (differential calculus) and the summation of infinitely smaller factors to calculate some whole (integral calculus). The theorems that are necessary for AP Calculus BC are:

1. The Fundamental Theorem of Calculus: This theorem relates the derivative and the integral of a function. It is used to calculate definite integrals and is a crucial part of calculus.

2. The Mean Value Theorem: This theorem states that if a function is continuous on a closed interval and differentiable on an open interval, then there exists a point in the interval where the derivative is equal to the average rate of change of the function over the interval.

3. The Intermediate Value Theorem: This theorem states that if a function is continuous on a closed interval, then it takes on every value between its minimum and maximum values on that interval.

4. The Extreme Value Theorem: This theorem states that if a function is continuous on a closed interval, then it has both a maximum and minimum value on that interval.

5. Rolle's Theorem: This theorem is a special case of the Mean Value Theorem and states that if a function is continuous on a closed interval, differentiable on an open interval, and has the same value at the endpoints of the interval, then there exists a point in the interval where the derivative is zero.

These theorems are essential for understanding and solving problems in AP Calculus BC.

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Therefore, the 90% confidence interval for μ1 - μ2 is -1 ± 1.74 years, which means that we are 90% confident that the true difference in mean ages between registered Republicans and Democrats is between -2.74 years and 0.74 years.

To find the confidence interval for the difference of means, we can use the following formula:

(X1 - X2) ± t*√(s1²/n1 + s2²/n2)

where X1 and X2 are the sample means, s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes, and t is the critical value from the t-distribution with (n1 + n2 - 2) degrees of freedom and the desired level of confidence.

We are given:

X1 = 39 years

s1 = 8 years

n1 = 128

X2 = 40 years

s2 = 10 years

n2 = 200

90% confidence level

First, we need to calculate the pooled standard deviation:

sp = √(((n1-1)*s1² + (n2-1)*s2²) / (n1+n2-2))

sp = √(((128-1)*8² + (200-1)*10²) / (128+200-2))

sp = 9.29

Next, we calculate the t-value:

t = invT(0.05, 327)

t = 1.66

where invT is the inverse t-distribution function with (n1+n2-2) degrees of freedom and a one-tailed area of 0.05 (since we want a 90% confidence interval, which corresponds to a one-tailed area of 0.05).

Finally, we can calculate the confidence interval:

(X1 - X2) ± T√(s1²/n1 + s2²/n2)

(39 - 40) ± 1.66√(8²/128 + 10²/200)

-1 ± 1.74

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Complete question:

A political analyst was curious if younger adults were becoming more conservative. He decided to see if the mean age of registered Republicans was lower than that of registered Democrats. He selected an SRS of 128 registered Republicans from a list of registered Republicans and determined the mean age to be = 39 years, with a standard deviation s1 = 8 years. He also selected an independent SRS of 200 registered Democrats from a list of registered Democrats and determined the mean age to be = 40 years, with a standard deviation s2 = 10 years. Let μ1 and μ2 represent the mean ages of the populations of all registered Republicans and Democrats, respectively. Suppose that the distributions of age in the populations of registered Republicans and of registered Democrats have the same standard deviation. Assume the pooled two-sample t procedures are safe to use. A 90% confidence interval for μ1 – μ2 is: –1 ± 1.66 years. 1 ± 2.76 years. –1 ± 1.74 years. –1 ± 1.98 years.

Answer:

x = -20

Step-by-step explanation:

Given equation:

-8.2x = 164

Divide both sides by -8.2:

⇒ -8.2x ÷ -8.2 = 164 ÷ -8.2

⇒ x = -20

\(\\ \rm\rightarrowtail -8.2x=164\)

\(\\ \rm\rightarrowtail 8.2x=-164\)

\(\\ \rm\rightarrowtail x=-164/8.2\)

\(\\ \rm\rightarrowtail x=-20\)

Answer:

is this the exact question

Answer:

1

Step-by-step explanation:

The equation to represent this would be (1 - (1 / 3)) / 2

1 - (1 / 3) = 2 / 3

2 / 3 / 2 = 1 / 3

Answer:

The answer is D, or 5/7

Answer:

The slope is 5/7

Step-by-step explanation:

From a point to get to the next point, you would need to go 5 up and 7 to the right in this graph.