Help my please with this question I don't know what it is

The percentage of people under 18 in the sample of 250 people from Ohio is higher than the percentage of people under 18 in the United States.

This can be demonstrated mathematically using the following formula: (28/250)*100 = 11.2%. This is higher than the US percentage of 23.5%, which indicates that the sample of 250 people from Ohio had a higher proportion of people under 18 than the US population as a whole. To calculate this, we can use the formula to find the difference between the two percentages: (28% - 23.5%) = 4.5%. This means that the small town in Ohio has a higher percentage of people under 18 than the national average. Therefore, it is true that the percentage of people under 18 in the small town in Ohio is higher than the national average.

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The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Answer:

X=2

DG=4

Step-by-step explanation:

Answer:

X=2

DE=4

THE ANSWER IS UPPP

Answer:

Step-by-step explanation:

Given equation:

Solve:

Answer:

\(\huge\boxed{867}\)

Step-by-step explanation:

6 tens is the equivalent of 6 * 10, or 60

8 hundreds is the equivalent of 8 * 100, or 800

7 ones is the equivalent of 7 * 1, or 7.

Simply add these numbers to get that 60 + 800 + 7 = 867

Hope it helps :)

Answer:

249798.8

Hope this helps! <3

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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Answer:

Money Raju have at first = $3,008

Step-by-step explanation:

Assume;

Raju and Tom money = a

Given:

Money Raju spends = $2,560

Money Tom spends = $320

Computation:

Money Raju had = a - 2,560

Money Tom had = a - 320

So,

6[a - 2,560] = a - 320

6a - 15,360 = a - 320

5a = 15,040

a = 3,008

Money Raju have at first = $3,008

Answer:  The pattern is x^2+2

where x is the term number

Example: the 5th term is 27 because x = 5 leads to x^2+2 = 5^2+2 = 27

=================================================

Explanation:

The pattern of jumps is: 3, 5, 7, 9, 11

Those increments are going up by 2 each time.

Since we have a consistent pattern of increments, this means that the sequence follows a quadratic model.

Quadratics are stuff like x^2+7x+10 or 3x^2-7. The leading term has an exponent of 2.

-----------

If x is the term number and y is the term itself, then we have these points

(1,3)

(2,6)

(3,11)

(4,18)

(5,27)

(6,38)

The x coordinates increase by 1 each time. The y coordinates are the terms given by your teacher.

Pick exactly 3 of those points. I'll pick the first 3.

Why 3? Because we'll have 3 unknowns to solve for, in which we'll need 3 equations.

-----------

We have this system of equations

\(\begin{cases}a+b+c = 3\\ 4a+2b+c = 6\\9a+3b+c = 11\end{cases}\)

There are a number of methods to solve this system. Substitution is what I'll go for.

Solve the first equation for c

a+b+c = 3

c = 3-a-b

Then use substitution.

4a+2b+c = 6

4a+2b+(3-a-b) = 6

3a+b+3 = 6

3a+b = 6-3

3a+b = 3

and

9a+3b+c = 11

9a+3b+(3-a-b) = 11

8a+2b + 3 = 11

8a+2b = 11-3

8a+2b = 8

We now have this reduced system of equations.

\(\begin{cases}3a+b = 3\\8a+2b = 8\end{cases}\)

I'll skip the steps as this solution is getting very lengthy as it is. The basic idea is to use substitution again. You should find that a = 1 and b = 0 form the solution set here.

Use those values to find c

c = 3-a-b

c = 3-1-0

c = 2

-----------

To summarize the previous section, we have these solutions:

a = 1, b = 0, c = 2

Therefore the equation y = ax^2+bx+c becomes y = 1x^2+0x+2 aka y = x^2+2. This lets us find any term.

Let's test it out.

And so on. I'll let you test the other x values (4 through 6).

Another way to confirm the answer is to subtract 2 from each item in the original set {3,6,11,18,27,38} and you'll end up with {1,4,9,16,25,36}. This is the list of perfect squares. It shows that term x is simply x^2 but add on 2 so things are adjusted accordingly.

Side note: you can use a tool like GeoGebra or WolframAlpha to quickly solve the system of equations. However, I recommend it only as a means to check your answer rather than do the work for you.

Answer:

When you make a payment on a simple interest loan, the payment first goes toward that month's interest, and the remainder goes toward the principal. Each month's interest is paid in full so it never accrues.

Step-by-step explanation:

Answer:

perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4

Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

Answer:

y=2/3x+8/3

Step-by-step explanation:

Here ya go!!

The function is decreasing on the interval (0, [infinity])

The function h of x equals negative 2 times the square root of x is a decreasing function on the interval (0, ∞). This means that as the value of x increases, the value of h(x) decreases. On the interval (-∞, 0), the function is increasing. This means that as the value of x decreases, the value of h(x) increases. The graph of the function looks like a parabola that opens downward and is symmetric around the y-axis. The graph is a concave down curve, and the y-intercept is at (0, 0). As the value of x gets closer to 0, h(x) approaches negative infinity. As x approaches infinity, h(x) approaches 0. This means that the range of h(x) is (-∞, 0].In order to determine if the function is increasing or decreasing on a given interval, we need to look at the sign of the derivative of the function on the interval.

The derivative of h(x) is -2/sqrt(x).

For the interval (0, [infinity]), the derivative of h(x) is negative, indicating that the function is decreasing.

For the interval (–[infinity], 0), the derivative of h(x) is positive, indicating that the function is increasing.

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The probability that there were at most three successes in a trial is approximately 0.9.

It looks like the histogram shows the probability mass function (PMF) for the number of successes in a trial. The PMF for a random variable gives the probability of each possible value of the random variable.

To find the probability that there were at most three successes in a trial, we need to add up the probabilities of 0, 1, 2, and 3 successes. From the histogram, it looks like the probabilities of these values are approximately 0.2, 0.4, 0.2, and 0.1, respectively. Adding these up, we get an approximate probability of 0.2 + 0.4 + 0.2 + 0.1 = 0.9.

Therefore, the probability that there were at most three successes in a trial is approximate $\boxed{0.9}$.

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The radius of the given circle is 2 units.

Here, we are given an equation of a circle as follows-

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

The general form of the equation of a circles is -

\((x- h)^{2}+ (y-k)^{2} = r^{2}\)

where (h, k) are the coordinates of the center of the circle and r is the radius of the circle.

Let us convert the given equation into the general form by completing the squares as follows -

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

\(x^{2}+ (2*4)x+ y^{2} - (2*3)y + 21 = 0\)

\(x^{2}+ (2*4)x+ 16 -16+ y^{2} - (2*3)y + 9 - 9+ 21 = 0\)

\([x^{2}+ (2*4)x+ 16] -16+ [y^{2} - (2*3)y + 9] - 9+ 21 = 0\)

\((x+4)^{2} -16+ (y - 3)^{2} - 9+ 21 = 0\)

\((x+4)^{2} + (y - 3)^{2} = 16 + 9 - 21\)

\((x+4)^{2} + (y - 3)^{2} = 4\)

\((x+4)^{2} + (y - 3)^{2} = 2^{2}\)

Thus, we have obtained the equation of the circle in the general form. From this, we can observe that the center coordinates will be (-4, 3) and the radius of the circle will be 2 units.

Therefore, the radius of the given circle is 2 units.

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Answer:

y= -3x thts the answer I've had this question took me almost an hour to do it

Answer:

I believe it is (a). Correct me if I am wrong.

Step-by-step explanation:

18 can not be the number because the answer says six fewer. This means 6×3=18 is incorrect.

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Answer:

(fog) (x) = 8*(2x+1)=16x+8

Step-by-step explanation:

Answer: C; 5.32

Step-by-step explanation: If you are short $5.32, then that is represented as -5.32. The opposite of -5.32 is +5.32 or just 5.32. I hoped this helped!

Based on the frequency table given,

a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.

b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.

The frequency table displays the number of times each value, or range of values, appears in the data-set.

where 11 weights are between 20 and 30,  and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.

This  implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.

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Answer:

\(y=\dfrac{5}{4}x^3+10\)

Step-by-step explanation:

Given information:

Create two equations by substituting the given points into the given equation:

Equation 1:  point (0, 10)

\(\implies a(0)^3+d=10\)

\(\implies 0+d=10\)

\(\implies d=10\)

Equation 2:  point (2, 20)

\(\implies a(2)^3+d=20\)

\(\implies 8a+d=20\)

Substitute Equation 1 into Equation 2 and solve for a:

\(\implies 8a+d=20\)

\(\implies 8a+10=20\)

\(\implies 8a+10-10=20-10\)

\(\implies 8a=10\)

\(\implies \dfrac{8a}{8}=\dfrac{10}{8}\)

\(\implies a=\dfrac{10}{8}\)

\(\implies a=\dfrac{5}{4}\)

Finally, substitute the found values of a and d into the original formula:

\(\implies y=\dfrac{5}{4}x^3+10\)

Check by substituting the x-values of the two given points into the found equation:

\(x=0 \implies y=\dfrac{5}{4}(0)^3+10=10 \leftarrow \textsf{correct}\)

\(x=2 \implies y=\dfrac{5}{4}(2)^3+10=20 \leftarrow \textsf{correct}\)

Put(0,10)

Now

Put again (2,20) this time

Answer:

B. 42 cubic units

Step-by-step explanation:

The formula for volume of a rectangular prism is given by :

V = lwh, where

In the diagram, the length is 8 units, the width is 1 1/2 units (i.e., 1.5 units), and the height is 3 1/12 units (i.e., 3.5 units).

Thus, we plug in 8 for l, 1.5 for w, and 3.5 for h in the volume formula to find V, the volume in cubic units:

V = (8)(1.5)(3.5)

V = 12(3.5)

V = 42

Thus, the volume of the prism is 42 cubic units (answer choice B.)

Answer(s):

\(\displaystyle y = 3cos\:(\frac{1}{4}x - \frac{\pi}{2}) - 1 \\ y = -3sin\:(\frac{1}{4}x \pm \pi) - 1 \\ y = 3sin\:\frac{1}{4}x - 1\)

Step-by-step explanation:

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{1}{4}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{8\pi} \hookrightarrow \frac{2}{\frac{1}{4}}\pi \\ Amplitude \hookrightarrow 3\)

OR

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{8\pi} \hookrightarrow \frac{2}{\frac{1}{4}}\pi \\ Amplitude \hookrightarrow 3\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 3cos\:\frac{1}{4}x - 1,\) in which you need to replase “sine” with “cosine”, then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted \(\displaystyle 2\pi\:units\)to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD \(\displaystyle 2\pi\:units,\)which means the C-term will be positive, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{2\pi} = \frac{\frac{\pi}{2}}{\frac{1}{4}}.\)So, the cosine graph of the sine graph, accourding to the horisontal shift, is \(\displaystyle y = 3cos\:(\frac{1}{4}x - \frac{\pi}{2}) - 1.\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [-10\pi, -4],\)from there to \(\displaystyle [-2\pi, -4],\)they are obviously \(\displaystyle 8\pi\:units\)apart, telling you that the period of the graph is \(\displaystyle 8\pi.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = -1,\)in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer: 0.00002163799

Step-by-step explanation:

Answer:

46,215

Step-by-step explanation:

you just have to divide the bigger number first and then the smallest

Answer:

A. 45 km per hour

b. 64.1 km

Step-by-step explanation:

convert them to mi then see if the miles are larger or smaller

86.4 km per hour and 91 km per hour are faster than 45 miles per hours.

So, option C and D are correct answer.

Which rates are faster than 45 miles per hour ?

We know,

1 mile = 1.609 kilometres

By this relation we can convert any mile to km.

By some examples,we can understand this concept more easily.

Example -1,

\(2 \: mile \: = 2 \times 1.609 \\ = 3.218 \: km\)

Example -2,

\(5 \: mile = 5 \times 1.609 \\ = 8.045 \: kilometres\)

Example -3,

\(10 \: mile = 10 \times 1.609 \\ = 16.09 \: km\)

Example-4,

\(25 \: mile = 25 \times 1.609 \\ = 40.225 \: km\)

Here given,posted speed limit is 45 miles per hour.

We want to find all of the rates that are faster than 45 miles per hour.

So,

\(45 \: miles = 45 \times 1.609 \\ = 72.405 \: km\)

Now we want to find which rates are faster than 45 miles per hour.

Option -1,

Here given 45 km per hour

Which is slower than 72.405 km per hour.

Option -2,

Here given 64.1 km per hour

Which is slower than 72.405 km per hour.

Option -3,

Here given 86.4 km per hour

Which is faster than 72.405 km per hour

Option -4,

Here given 91 km per hour

Which is also faster than 72.405 km per hour.

Therefore, 86.4 km per hour and 91 km per hour are faster than 45 miles per hours.

This is a problem of speed and distance.

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ANSWER

PART A: D) 6

PART B: C) all real numbers

EXPLANATION

PART A

First we have to apply the distributive property for the -6 in the left term:

Now we have to put all the terms that contain x on the same side. Add 10x on both sides:

Leave just the term with x on the left term: subtract 12 from both sides:

And finally divide both sides by 4:

PART B

The process for this equation is similar. First we apply the distributive property on the right side:

Note that both sides of the equation are the same. This means that any value for c will make this equation true and hence, the solution is all real numbers

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Answer:

900-1200

Step-by-step explanation:

mutpliy by 60