which of the following straight line is parallel to y = 7 - 2x?

Answer:

r = 7 cm

Step-by-step explanation:

Given that,

Volume of the packing tube, V = 1761 cm²

The altitude of the tube, h = 11 cm

We need to find the radius of the packing tube. The volume of the the cylindrical shaped object is given by :

\(V=\pi r^2 h\\\\r^2=\dfrac{V}{\pi h}\\\\r^2=\dfrac{1761}{\pi \times 11}\\\\r=7.13\ cm\)

or

r = 7 cm

So, the radius of the packing tube is 7 cm.

Answer: 70:12?

Step-by-step explanation:

The distance value of the BD, CE, AC is 2 cm, 2 cm, 9cm.

According to the statement

We have to find that the distance between the given points.

So, For this purpose, we know that the

The distance between two points is the length of the path connecting them.

From the given information:

The given values of the points are:

Ab = 5 cm and AD = 7 cm and AE = 11 cm

Then we know that the

BD = AD -AB and

And the BD = CE and AC = AE - CE

Here we have to find the value of the BD, CE, AC .

Then

BD = AD -AB

BD = 7 -5

BD = 2

And

BD = CE

2 = CE

CE =  2cm

And

AC = AE - CE

AC = 11- 2

AC = 9cm.

So, The distance value of the BD, CE, AC is 2 cm, 2 cm, 9cm.

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Answer:

The answer should be 350 calories

Answer:

350

Step-by-step explanation:

Step-by-step explanation:

15+10z=105

10z=105-15

10z=90

z=9

From your previous questions, you know

(3w + w⁴)' = 3 + 4w³

(2w² + 1)' = 4w

So by the quotient rule,

R'(w) = [ (2w² + 1)•(3w + w⁴)' - (3w + w⁴)•(2w² + 1)' ] / (2w² + 1)²

That is, the quotient rule gives

R'(w) = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²

I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:

R'(w) = [ (2w² + 1)•(3 + 4w³) - (3w + w⁴)•(4w) ] / (2w² + 1)²

Answer:

132

Step-by-step explanation:

Answer:

2/15 pound of dog food

Step-by-step explanation:

John has 4/5​ of a pound of dog food left to share equally among 6 dogs in his pet shop. ​How many pounds of food can he give to each dog?

From the above question, we can deduce that:

6 dogs = 4/5 pound of dog food

1 dog = x pound of dog food

Cross Multiply

6 dogs × x pound = 1 dog × 4/5 pound of dog food

x pound = 1 dog × 4/5 pound of dog food/6 dogs

x pounds = 4/5 ÷ 6

x pounds= 4/5 × 1/6

x pounds = 4/30

x pounds = 2/15 pound of dog food

Therefore,if the dog food is shared equally, he can give each dog 2/15 pound of dog food.

The solution of the system of equations is (5, 2).

Here we want to solve the system of equations:

-3x + y = -13

4x - 2y = 16

By the elimination method.

If we take the first equation and we multiply it by 2, we will get:

2*(-3x + y) = 2*-13

-6x + 2y = -26

Now we can add the two equations to get:

(-6x + 2y) + (4x - 2y) = -26 + 16

-2x = -10

x = -10/-2

x = 5

And the value of y is given by evaluating one of the equations in x = 5, using the first one.

-3*5 + y = -13

-15 + y = -13

y = 15 - 13 = 2

The solution is (5, 2)

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The correct answer is 'in statistical hypothesis testing, the null hypothesis and the alternative hypothesis are stated in terms of population parameter.

A population parameter is always used to express a statistical hypothesis: The null hypothesis is true if the test statistic's value is within the nonrejection zone.

We look for evidence supporting the null hypothesis when testing a statistical hypothesis. The null hypothesis and the alternative hypothesis are the two variants of the hypothesis that are typically used in research (called the experimental hypothesis when the method of investigation is an experiment).

According to the alternative hypothesis, a population parameter does not equal the given value. Usually, this number is zero, which is the null hypothesis value for an effect of zero.

You can reject the null hypothesis and favour the alternative hypothesis if your sample includes enough evidence to support it.

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If the correlation between the response variable and the explanatory variables is sufficiently low, the adjusted R-squared may be close to or lower than zero.

Adjusted R-squared is a statistical measure that assesses the goodness of fit of a regression model. It adjusts the R-squared value to account for the number of predictors (explanatory variables) in the model.

Adjusted R-squared takes into consideration the sample size and the complexity of the model, penalizing the inclusion of unnecessary predictors.

R-squared represents the proportion of the variance in the response variable that can be explained by the predictors. It ranges from 0 to 1, with higher values indicating a better fit. However, R-squared can be inflated by including irrelevant or weak predictors in the model.

When the correlation between the response variable and the explanatory variables is low, it suggests that the predictors are not strongly related to the response variable.

In this case, the model may not provide a good fit to the data, and the R-squared value may be low. Adjusted R-squared takes into account the low correlation and the number of predictors, and it can be close to or even lower than zero.

A low or negative adjusted R-squared indicates that the model does not explain much of the variation in the response variable and may not be useful for making predictions or drawing conclusions.

It suggests that there may be other factors or variables that are more relevant in explaining the variation in the response variable.

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Answer:

p = -30 + 20

Hope this helps!

Answer:

\(2.\overline {24}\) = 2\(\frac {8} {33}\) or D.

Step-by-step explanation:

2  is a whole number, so its \(\frac {2} {1}\) and \(0.\overline {24}\) is a repeating decimal, so that means we try to simplify it: \(\frac {24} {100}\)÷\(\frac {3} {1}\)=\(\frac {24} {100}\)·\(\frac {1} {3}\)=\(\frac {8} {33}\)

Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

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Answer:

C

Step-by-step explanation:

My Apologies if Wrong!

Answer:

D) \(20\frac{5}{16} in.^{3}\)

Step-by-step explanation:

V = whl

V = 2.5 × 3.25 × 2.5

20.3125

\(=20\frac{5}{16}\)

\(20\frac{5}{16} in.^{3}\)

Let us assume a value, a for the other part of the base. thus, the length of the base of the triangle is d + a

Considering the right angle traingle containing y degrees,

opposite side = h

adjacent side = a

Tan# = opposite side/adjacent side

tan y = h/a

a = h/tany

Considering the right angle traingle containing x degrees,

opposite side = h

adjacent side = a + d

Tan# = opposite side/adjacent side

tan x = h/(a + d)

a + d = h/tanx

a = h/tanx - d

If we equate both a's, it becomes

h/tany = h/tanx - d

d = h/tanx - h/tany

Answer:

x < 2

Step-by-step explanation:

add 2 to both sides, and now you have 4x < 8. Now divide both sides by 4, and now you have x < 2

Answer:

Step-by-step explanation:

answer is c

Answer:

The answer is B, the second one on your screen. I hope I wasn't too late! :)

The equation of a line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

Let's write each equation given in the exercise as a System of equations and then let's write each equation in Slope-Intercept form. Then:

Equation 1 as a System of equations

You can identify that the slope and the y-intercept of the first equation are:

And the slope and the y-intercept of the second equation are:

Since:

The lines intersect each other and the System of equations has one solution.

Equation 2 as a System of equations

You can see that:

Therefore, since they are the same line, the system has infinite solution​s.

Equation 3 as a System of equations

Since:

You can determine that the lines are parallel. Therefore, the System of equations has no solution.

The anwer is:

- The first equation has one solution.

- The second equation has infinite solution​s.

- The third equation has no solution.

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

The surface area of the trumpet is \(\( 1256.64 \pi \)\) square feet.

To find the surface area of the trumpet, we need to calculate the areas of the curved surface and the base separately, and then sum them.

The curved surface area of a truncated cone can be calculated using the formula:

\(\[ CSA = \pi \times (r_1 + r_2) \times l \]\)

Where \(\( r_1 \) and \( r_2 \)\) are the radii of the two bases, and \(\( l \)\) is the slant height of the truncated cone.

Given that the base diameter is \(40\) feet, the radius of the larger base \((\( r_1 \))\) is half of that, which is \(20\) feet. The slant height \((\( l \))\) can be calculated using the Pythagorean theorem:

\(\[ l = \sqrt{(h^2 + (r_1 - r_2)^2)} \]\)

The height \(h\) of the truncated cone is \(30\) feet, and the radius of the smaller base \((\( r_2 \))\) can be calculated as half the diameter, which is \(10\) feet.

Substituting the values into the equations:

\(\[ l = \sqrt{(30^2 + (20 - 10)^2)} = \sqrt{(900 + 100)} = \sqrt{1000} = 10\sqrt{10} \]\[ CSA = \pi \times (20 + 10) \times (10\sqrt{10}) = 30\pi\sqrt{10} \]\)

The base area of the truncated cone is the area of a circle with radius \(\( r_1 \):\[ BA = \pi \times r_1^2 = \pi \times 20^2 = 400\pi \]\)

Finally, we can find the total surface area by adding the curved surface area and the base area:

\(\[ Surface \, Area = CSA + BA = 30\pi\sqrt{10} + 400\pi \]\)

\(\[ Surface \, Area = 30\pi\sqrt{10} + 400\pi \]\[ Surface \, Area = \pi(30\sqrt{10} + 400) \]\[ Surface \, Area \approx 1256.637 \pi \]\[ Surface \, Area \approx 1256.64 \pi \]\)

Therefore, the simplified surface area of the trumpet is approximately \(\( 1256.64 \pi \)\) square feet.

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The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

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If your required return is 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, the approximate amount you would be willing to pay for this investment is $16.80.

To determine the present value of the investment, we need to calculate the discounted value of the future cash flows. In this case, the cash flow is $800 per month, and the time period is 40 years, or 480 months.

Using the formula for present value, which is \(PV = CF / (1 + r)^n\), where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods, we can substitute the given values:

PV = $800 / (1 + 0.06/12)\(^(480)\)

Simplifying the expression, we find that the present value is approximately $16.80. This means that if you want to achieve a required return of 6% per year, compounded monthly, you would be willing to pay approximately $16.80 for this investment.

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Answer:

Step-by-step explanation:

The line that best fits is

\(y=-0.03x+3.45\)

Where \(x\) is days and \(y\) is time in minutes. So, we have \(x=15\), replacing this in the equation and solving for \(y\), we have

\(y=-0.03(15)+3.45=-0.45+3.45=3\)

Therefore, on the 15th day his best time for the day is 3 minutes.

The equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

To find the amount of space between the end of the wall and the painting, we need to subtract the length of the painting from the length of the wall and divide it by 2.

Given that the wall is 16.9 feet long and the painting is to be centered, we can assume the painting's length is unknown. Let's represent it as 'x'.

Therefore, the equation becomes (16.9 - x) / 2 = space between the end of the wall and the painting.

To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction, resulting in 16.9 - x = 2 * (space between the end of the wall and the painting).

Next, we simplify the equation to 16.9 - x = 2 * space.

To isolate x, we subtract 2 * space from both sides, resulting in x = 16.9 - 2 * space.

To determine the exact amount of space between the end of the wall and the painting, we would need to know the value of 'space'. Unfortunately, it is not provided in the question.

In summary, the equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

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The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.

In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.

By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.

Therefore, a left-tailed hypothesis test is appropriate in this scenario.

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Answer:

a) x < 9/7

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The inequation is,

→ 7(x - 2) < -5

Then the value of x will be,

→ 7(x - 2) < -5

→ 7(x) - 7(2) < -5

→ 7x - 14 < -5

→ 7x < -5 + 14

→ 7x < 9

→ [ x < 9/7 ]

Hence, option (a) is correct.