find the approximate volume of this cone. use 3.14 for pi.

Answer:

  x = 6

Step-by-step explanation:

The line of symmetry for the parabola written in the form y=ax²+bx+c is given by the equation x=-b/(2a).

__

Comparing your equation to the above form, we see ...

Then the line of symmetry is ...

  x = -b/(2a) = -(-12)/(2(1)) = 6

The line of symmetry is x=6.

The graph of the given quadratic equation is graph C.

Remember that for a quadratic equation with a vertex (h, k), the vertex form is given by:

[tex]y = a*(x - h)^2 + k[/tex]

Where a is the leading coefficient, in this case we have a = 1.

Here we have:

[tex]y = (x - 3)^2 - 25[/tex]

So the vertex is at (3, -25).

From that function we can also get the y-intercept, that is given by evaluating the function in x = 0, so we get:

[tex]y = (-3)^2 - 25 = -16[/tex]

So this function passes through (3, -25) and (0, -16). The sketch can be seen below.

Notice that from the given options only the third graph intercepts the y-axis on the negative region, so from that, we conclude that the third graph is the correct option.

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The correct statements regarding the function in the graph are given as follows:

B. The function does not reach a maximum value.

C The function is increasing for all values of x larger than 2.

The function is defined for values of x or 2 and greater, and the function is increasing until infinity(hence it does not reach a maximum value) for all these values, hence statements B and C are correct.

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The number that could not be a value of y if y = 4x² - 6 is -12.

The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.

So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.

i.e.

y = 4(0) - 6

y = 0 - 6

y = -6

Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.

Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.

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Answer:

-12 is the answer.

Answer:

270.4 miles

Step-by-step explanation:

First we will convert the 40 liter gas tank into gallons.

There are about 0.26 gallons in 1 liter, so we can find how many gallons are in 40 liters by solving [tex]40 * 0.26[/tex], which equals to [tex]10.4[/tex] gallons.
We can now find how far we can travel on a full tank.

[tex]\mbox{26 miles per gallon } * \mbox{10.4 gallons} = \mbox{270.4 miles}[/tex]

This means we can travel 270.4 miles on a full tank.

That is the answer

- Kan Academy Advance

Answer:

they are different in the equation

The true statements are

The mean is near the median.

The mean is the best measure of center.

The five-number summary is the best measure of variation

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.

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The general rule for each sum is that when you add the tenth term together we will get ten which will make the value an integer. The whole sum is equals to eleven.

Let's sum the decimal numbers to know the general rule,

Therefore,

3.7 + 7.3 = 11.0

6.4 + 4.6 = 11.0

9.1 + 1.9 = 11.0

5.5 + 5.5 = 11.0

Therefore, the  values added are the reverse of the decimals. example is 3.7 and 7.3 or 6.4 and 4.6.

When you add the tenth term together we will get ten which will make the value an integer

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Step-by-step explanation:

p + p + 7 = p + 5 + 4

2p + 7 = p + 9

2p - p = 9 - 7

p = 2

Answer: 6.64

Step-by-step explanation:

[tex]A=\frac{1}{2}(4.7)(3.2)(\sin 62^{\circ}) \approx \boxed{6.64}[/tex]

Answer:

To find the mean of a given data set, add up all the values then divide by how many numbers ...

Step-by-step explanation:

Answer:

Explained below

Step-by-step explanation:

Area= area of these two triangles+ area of the rectangle+ area of the

=1/4(dh)+ +l.b +

[tex]\huge \orange{F =G.\frac{xy}{r^2}}[/tex]

Step-by-step explanation:

Answer:

the answer is 40

Step-by-step explanation:

A = 10 x 8 over 2 which is 40

Answer:

42×12/4

=42×3

=126

........

The area of rectangle ABCD with side 6 unit by 8 units is  48 unit²

An equation is an expression that shows the relationship between two or more variables or numbers.

From the rectangle ABCD:

AB = 6 units, BC = 8 units

Hence:

Area of ABCD = 6 units * 8 units = 48 unit²

The area of rectangle ABCD with side 6 unit by 8 units is  48 unit²

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Answer:

x=3

Step-by-step explanation:

I will assume this is a  number line

DE    +    EF     = DF

x+1    +    2x     =  10

3x  + 1 = 10

3x = 9

x = 3

Step-by-step explanation:

simple x×x×y×z=x^2×yz=x^2yz

The confidence Interval is CI = (-1.35, 1.35) and 1.74 is outside of this confidence interval and as such it is statistically significant.

Formula for the confidence interval is:

CI = x' ± z(S.E)

where;

x is the mean

z is the critical value.

S.E is the standard error.

We are told that there is no difference between the population and as such; x = 0.

The confidence level is given as 95%.

z-score at 95% confidence level = 1.96.

Standard deviation of the sample mean differences is 0.69. Thus;

S.E = 0.69.

The confidence interval is:

CI = 0 ± (1.96 * 0.69)

CI = (-1.35, 1.35)

1.74 is outside of this confidence interval and as such it is statistically significant.

Complete question is;

I know that the red box has a mean value of 15.11 and the blue box's mean is 16.83. The difference of sample means is 1.74. The red standard deviation is 3.868 and the blue one is 2.933. the standard deviation of the sample mean differences is 0.69. How do I use all this to construct the interval with no difference between the population means.

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Answer:

x= 0.21428571428 or x=0.2

Step-by-step explanation:

-7x+7x^2=9  1. simplify 7x^2

-7x+ 7x(7x)=9   2. combine like terms

-7x+49x=9    3. combine like terms

42x=9           4. /42 on both sides

x= 0.21428571428 or x=0.2

x=-5/3 and x=1/2

Step-by-step explanation:

I think you left out some numbers

Answer:

range is subtracting the highest number from the lowest number. so we want to find the difference

Step-by-step explanation:

all you do is 105-85 which is 15.

The value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]

From the question, we are to determine the value of cos E

From the given information, we have

[tex]sin \ D=\frac{24}{25}[/tex]

By SOH CAH TOA

Opposite = 24

Hypotenuse = 25

Thus, considering the diagram

/EF/ = 24

and

/DE/ = 25

By SOH CAH TOA

[tex]cos \ E =\frac{/EF/}{/DE/}[/tex]

∴ [tex]cos \ E =\frac{24}{25}[/tex]

Hence, the value of cos E is [tex]\frac{24}{25}[/tex]. The correct option is A. [tex]\frac{24}{25}[/tex]

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The number of quarts of paint did mieko use in the living room is A = 3 quarts

Given data ,

Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room

Now , on simplifying the equation , we get

Two gallons of paint is equal to 8 quarts (2 x 4 = 8)

Mieko used 1/4 of the paint on her bedroom, which is equal to 2 quarts (1/4 x 8 = 2)

She used 3 quarts of paint on the hallway

Thus, Mieko used a total of 2 + 3 = 5 quarts of paint on the bedroom and hallway

Therefore , she used 8 - 5 = 3 quarts of paint in the living room

Hence , the number of quarts is A = 3 quarts

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In the given diagram, the measure of angle B (m∠B) is 40°

From the question, we are to determine the measure of angle B

By the exterior angle theorem,

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Then, we can write that

m∠A + m∠B = 155° (Exterior angle theorem)

115° + m∠B = 155°

m∠B = 155° - 115°

m∠B = 40°

Hence, the measure of angle B (m∠B) is 40°

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The sum of the interior angles of a regular polygon of 12 sides is 1800°

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the all the interior angles of a polygon with 'n' number of sides is given by the formula,

Sum of all the angles = (n-2) × 180°

Since the number of sides in the polygon is 12, the sum of the angles will be,

Sum = (12-2) × 180° = 10 × 180° = 1800°

Hence, the sum of the interior angles of a regular polygon of 12 sides is 1800°.

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Answer:   203

Step By Step Explanation: Just multiply the numbers.

Answer:

Area = 203 [tex]ft^{2}[/tex]

Step-by-step explanation:

The area of a rectangle can be found using this equation:

Area = length x width

The length given is 29 feet, and the width is 7 feet.

Let's plug these into the equation:

Area = (29)(7) = 203 [tex]ft^{2}[/tex]

Therefore, the area of the rectangle is 203 [tex]ft^{2}[/tex].

Hope this helps! If you have any questions about my work, please let me know down in the comments!

Work Shown:

tan(angle) = opposite/adjacent

tan(61) = x/9

x = 9*tan(61)

x = 16.2364298 approximately

Your calculator needs to be in degree mode. One quick way to check is to type in something like tan(45) and the result should be 1.