Need answer ASAP!!!
if m+3n=20 and p=7, then 4m+12n+3p=?

The correlation between two variables is an important measure that helps us understand the relationship between them. In Scenario 3-2, if the heart disease death rate is expressed as deaths per 1,000 people instead of as deaths per 100,000 people, it would not change the correlation (r) between wine consumption and heart disease death rate.

The correlation coefficient (r) measures the strength and direction of the relationship between two variables. If the heart disease death rate is expressed as deaths per 1,000 people instead of as deaths per 100,000 people, it would change the units in which the death rate is expressed, but it would not change the underlying relationship between wine consumption and heart disease death rate.

In other words, regardless of the units in which the death rate is expressed, the correlation between wine consumption and heart disease death rate would remain the same. This is because the correlation measures the relationship between two variables, not the units in which they are expressed. It is important to note that expressing the death rate in different units may make it easier or more difficult to understand the relationship between two variables, but it does not change the underlying correlation.

In conclusion, the correlation (r) between wine consumption and heart disease death rate would not change if the death rate were expressed as deaths per 1,000 people instead of as deaths per 100,000 people.

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Answer

Step-by-step explanation:

The surface area of the triangular prism is the sum total of the areas of its bases and its lateral faces. Formula to find the surface area of a triangular prism. The Surface Area = 2 B + p h.

Answer:

it should be 35 let me know if I am wrong

Step-by-step explanation:

Let g be a continuous, positive, decreasing function on [1,oo). We need to compare the values of the integral of the following options provided below:2.BCA3.ABC4.

ASince g is a decreasing function on [1, oo), we can show that ∫[n,n+1] g(x)dx ≥ g(n+1) for every positive integer n.Using this inequality and adding them all up gives us∫1n g(x)dx≥∑n=1∞ g(n)Therefore, the series ∑n=1∞ g(n) diverges (the terms are positive and do not go to zero), so the integral of option BCA is infinite.Option ABC is equal to∫1∞ g(x)dx=∫11g(x)dx+∫12g(x)dx+∫23g(x)dx+⋯+∫n,n+1g(x)dx+⋯

Since g is a positive function, we have 0 ≤∫n,n+1g(x)dx≤g(n)so the integral is bounded below by ∑n=1∞ g(n) which diverges. Thus the integral of option ABC is also infinite.Option A is equal to∫2∞g(x)dx=∫23g(x)dx+⋯+∫n,n+1g(x)dx+⋯and since g is a decreasing function, we have ∫n,n+1g(x)dx≤g(n+1)(n+1−n)=g(n+1)so the integral is bounded above by∑n=1∞g(n+1)(n+1−n)=∑n=1∞g(n+1)which converges since g is a positive, decreasing function. Hence the integral of option A is finite and less than infinity.Option A is less than option BCA and option ABC is infinite.

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Answer:

I can't see the picture. Sorry

Step-by-step explanation:

By using the formulae of VAT Percentage we have required VAT percentage as 10%.

Given is S.P=Rs 450 (Selling Price)

            S.P+VAT =Rs 495 (Selling Price+ Value added Tax)

Now we have to find Amount of VAT that is how much value added tax is imposed in the selling price.

To find out Amount of VAT we have to take Selling Price (S.P) and subtract it from Selling Price with VAT.

Amount of VAT = (S.P + VAT )- S.P

                           = Rs 495 - Rs 450

                           = Rs 45

VAT Percent = Amount of VAT /Selling Price x 100

Percentage of VAT = \(\frac{45}{450} .100\)

                                = 10 %

So VAT percentage is 10%.

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The distance across the river, given the angle of the line of sight and the

distance along the shoreline is found using trigonometric ratios.

Reasons:

The distance along the the shore Shawna walked before sighting across the river = 90 feet

The angle made by the line of sight and the shoreline, θ = 65°

Required:

The distance across the river.

Solution:

Taking the initial location of Shawna to be the closest place to point she wanted to go across the river, we have;

The shortest distance across the river = A perpendicular line

Therefore, the following sides, form a right triangle;

Where:

The line of sight = The hypotenuse side

The distance she walked = The adjacent side to angle 65° angle

The closest distance across the river = The opposite side to the 65° angle

By trigonometric ratio, we have;

Which gives;

Opposite side to angle = tan(θ) × Adjacent side to angle

Therefore;

Distance across the river = tan(65°) × 90 feet ≈ 193.0 feet

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Answer:

AB=2.775

BC=5.55

CA=6.475

Step-by-step explanation:

Since midpoints split their sides in half, we can see that the triangle MNK formed by the midpoints will be half the perimeter of the triangle ABC. Since P of MNK = 7.4, we know that the perimeter of ABC = 7.4 * 2, which is 14.8. Now we can split the 14.8 so that it follows the ratio.

3+6+7=16

14.8/16=0.925

AB=0.925*3=2.775

BC=0.925*6=5.55

CA=0.925*7=6.475

The lengths of the sides of △ABC are AB=2.775 in., BC=5.55 in. and CA=6.475 in.

Given that, AB:BC:CA=3:6:7 and M, N, and K are the midpoints of the sides.

Let us take AB=3x, BC=6x and CA=7x.

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side.

So, NK=1/2 AB=1/2 (3x), MN=1/2 BC=1/2 (6x) and MK=1/2 (AC)=1/2 (7x)

The perimeter of △MNK equals 7.4.

Now,MN+NK+MK=3x+1.5x+3.5x=7.4 in.

⇒8x=7.4 in.

⇒x=0.925 in.

So, AB=2.775 in., BC=5.55 in. and CA=6.475 in.

Therefore, the lengths of the sides of △ABC are AB=2.775 in., BC=5.55 in. and CA=6.475 in.

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Answer:

A gas tank can indeed overflow if it is not full. A gas tank can overflow if the pressure inside of it is too high.

Step-by-step explanation:

The approximate radius of a dodgeball with a volume of 1,436.6 cubic inches is 8 inches.

The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius. Rearranging the formula, we get r = (3V/4π)^(1/3). Plugging in the given volume of 1,436.6 cubic inches, we find that the approximate radius of the dodgeball is 8 inches.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height. Rearranging the formula, we get r = √(V/(πh)). Plugging in the given volume of 226.2 cubic inches and the height of 8 inches, we can calculate the approximate radius. Since the diameter is twice the radius, the diameter of the can is approximately 2 times the calculated radius.

The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where V is the volume, r is the radius (which is half the diameter), and h is the height. Plugging in the given diameter of 10 cm (which gives a radius of 5 cm) and the height of 12 cm, we can calculate the approximate volume of each cone-shaped cup. Note that the volume is given in cubic centimeters (or milliliters) because we used centimeter measurements.

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The kind of sample described is A. Convenience.

Convenience sampling involves selecting individuals who are readily available and convenient to participate in the study. In this scenario, the representative of the student government association is standing at the door of the library and asking all students who enter about a new grading policy. This method of sampling is convenient because it allows the representative to easily approach and gather data from students who are already present at the library.

However, convenience sampling may introduce bias into the sample because it relies on the availability and willingness of individuals to participate. It may not represent the entire population accurately, as it may exclude certain groups or individuals who are not present at the library during that specific time. Therefore, while convenience sampling is easy to implement, it may not provide a representative sample of the entire student population at the college.

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The required  cost of each shirt is $21.28.

A mathematical statement known as an equation is made up of two expressions joined together by the equal symbol. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the quantity x is 7.

The total cost of 3 identical shirts, including shipping, is $71.83. So we can write the equation as:

3s + 7.99 = 71.83

To solve for the cost of each shirt, we need to isolate the variable "s" on one side of the equation. We can start by subtracting 7.99 from both sides:

3s = 63.84

Then, we can divide both sides by 3:

s = 21.28

Therefore, the cost of each shirt is $21.28.

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The best way to analyze their data for significance is to Conduct a two-way variable analysis.

As we can see, there is a 2x3 factorial design. Thus, we know that there will be a two level or two way analysis of variables, which is referred to as two way variables analysis. Factorial design is a research method that allows for the inquiry of a main and interaction effects of two or more independent variables on one or more outcome variables (s).

It has been argued that factorial designs represent the true beginning of modern behavioral research and have resulted in a significant paradigm shift in how social scientists conceptualize their research questions and produce objective results (Kerlinger & Lee, 2000).

Factorial design is an experimental methodology that goes beyond standard single-variable experimentation. Previously, social scientists were fixated on single independent variable experiments, foreshadowing the significance of extraneous variables that can attenuate or diminish research findings.

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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

The equation that relates the time, t, it takes to travel a given distance, d is d = rt

This is a scalar quantity and can be defined as  the magnitude of the rate of change of its position with time.

d = rt

where d is distance, r is speed or rate, t is time.

We can calculate the time by dividing the distance with the rate (speed).

t =  d/r

This is why it was chosen as the most appropriate choice.

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Answer:

8 - 6x

Step-by-step explanation:

16-2(4+3x)

= 16 - 8 - 6x

= 8 - 6x

So, the answer is 8 - 6x

The length of HJ is 3.5 cm

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Given:

AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm

As, ΔABC ≅ ΔHJK

So,

AB = HJ

BC = JK

AC = HK

Thus, HJ= AB = 3.5 cm

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A procedure for determining the connections between two variables is referred to as correlation. You discovered that plotting two variables on a "scatter plot" can help you determine whether or not they are generally connected. Correlation is the most widely applied strategy even though there are other measures of association for variables measured at the ordinal or higher level of measurement. The question is asking about the correlation of a set of data after each x value is multiplied by 2.

To find the correlation for the resulting data, you can follow these steps:

1. Multiply each x value by 2.
2. Calculate the correlation coefficient for the new set of x and y values.

Given that the original set of x and y values has a Pearson correlation of r = 0.10, multiplying each x value by 2 does not change the correlation coefficient.

Therefore, the correlation for the resulting data is still r = 0.10.

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When you add a fitting this new model, the estimated coefficient for height must be Different, but still positive.

If there is a  positive correlation but negative regression coefficient it means that the influence or the effect of the intercorrelations that exist between the independent variables may be negative when there is a positive correlation coefficient that exist between the variable and the dependent variable.

Therefore  When you add a fitting this new model, the estimated coefficient for height must be Different, but still positive.

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Suppose you have an SLR model for predicting IQ from height. The estimated coefficient predictor for age to create an MLR model. After for height is positive. Now, we add a fitting this new model, the estimated coefficient for height must be:

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The general solution of the differential equation is y(x)=x−16ln|x|+1,  the graph for the equation is attached herewith.

For finding  the solution for the differential equation , we need to integrate it, where the initial values are considered to be the  lower limit of the integration

dy/dx=x−16/x , separating the like variables

dy=x−16xdx , now integrating both sides with  x=-1, y=0  and   x=x, let y=y(x)

∫y(x)0 dy=∫x −1[x/x−16/x]dx

∫y(x)0dy=∫x−1[1−16/x]dx

= [y] (y(x),0) =[x−16ln|x|] x, −1

=y(x) −0 =[x−16ln|x|] − [(−1)−16ln|(−1)|]

=y(x)=[x−16ln|x|]−[−1−16ln|1|]

y(x)=x−16ln|x|+1+16(0)   ,  as   ln|−1|=ln|1|=0]

=y(x)=x−16ln|x|+1

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Find the general solution of the differential equation. Use a graphing utility to graph three solutions, one of which passes through the given point.

dy/dx=x−16/x(−1,0)

Answer:

k = 5/6

Step-by-step explanation:

The √ can be rewrite as a power, and this power is 1/2

So √a = a^1/2, and it is multiplying a, so we add the powers: a¹•a^1/2 = a^(1+1/2) = a^3/2

And the ³√ can be rewrite as the power 1/3, but the a inside the ³√ is to the power of 2, so we can rewrite it like this: (a²)^1/3

And to evaluate this we have to multiply the powers, so we will have: a^2/3

Now we have this fraction:

\( \frac{ {a}^{ \frac{3}{2} } }{ {a}^{ \frac{2}{3} } } \)

A fraction with powers in the same base can be rewrite like a subtraction of the powers, so let's do that:

\( \frac{ {a}^{ \frac{3}{2} } }{ {a}^{ \frac{2}{3} } } = {a}^{ \frac{3}{2} - \frac{2}{3} } = {a}^{ \frac{5}{6} } \)

\( = \: \: \: c = 0 \\ \\ hope \: it \: \: helps \\ \\ see \: \: the \: \: attachement\)

The Length and width of each pen is 6 feet by 8 feet. The 8 feet side is the adjacent side

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Let x and y represent the length and width of the ship pen (or pig pen) since they have same area and y is the adjacent side. Since both pens are adjacent to each other, he has 48 feet of fencing to make the pens, hence:

Perimeter = x + x + y + x + x + y + y

48 = 4x + 3y

4x = 48 - 3y

x = 12 - (3/4)y

Area = (x + x)y

Area (A) = 2xy

substituting, x = 12 - (3/4)y:

A = 2(12 - (3/4)y)y

A = 24y - (3/2)y²

The maximum area is at A' = 0:

A' = 24 - 3y

24 - 3y = 0

3y = 24

y = 8 feet

x = 12 - (3/4)y = 12 - (3/4)(8) = 6 feet

The Length and width of each pen is 6 feet by 8 feet.

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Answer:

Step-by-step explanation:

I got 900000

Answer:

900000

Step-by-step explanation:

10^5 is 100000

100000*5 is 900000

Answer:

157.07963

Step-by-step explanation:

2πr²

2π(5)²

2π(25)

50π

157.07963

The money left is $296.54

The total number of people in the track team is 25

The total amount that all members will pay for the shirt is $463.50

Only 9 members have purchased the shirt

The change left can be calculated as follows

25= 463.50

1= x

cross multiply

25x= 463.50

x= 463.50/25

x= 18.54

18.54 × 9

= 166.86

463.50-166.86

= 296.54

Hence the change left is $296.54

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