Solve this equation. Check for extraneous solution. Show all work9|9-8x|=2x+3

The volume of the spherical boulder is 7234.56 cubic feet.

What is the diameter?

A line connecting the center and the circumference at its opposite ends is called the diameter. Its length is double that of the circle's radius.

The formula for the volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\).

Given the diameter of the sphere is 24 feet.

therefore radius is equal to 12 feet.

The volume of the sphere is equal to

\(V=\frac{4}{3}\pi (12)^{3} \\V=\frac{4}{3} *3.14*1728\\V=7234.56\)

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The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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Answer:

The calculated value of z = - 0.197  falls in the critical region therefore we reject the null hypothesis and conclude that  at  the 5% significance level there is significant difference in population proportions of households that decorate their houses with lights for the holidays

Step-by-step explanation:

We formulate the null and alternative hypotheses as

H0: p1= p2 there is no difference in population proportions of households that decorate their houses with lights for the holidays

against Ha : p1≠ p2  (claim)  ( two sided)

The significance level is set at ∝= 0.05

The critical value for two tailed test at alpha=0.05 is ± 1.96

or Z∝= 0.05/2= ± 1.96

The test statistic is

Z = p1-p2/√pq(1/n1 +1/n2)

p1= proportions of households  decorating in city 1  = 45/60=0.75

p2= proportions of households  decorating in city 2 = 40/50= 0.8

p = the common proportion on the assumption that the two proportion are same.

p =   \(\frac{n_1p_1 +n_2p_2}{n_1+n_2}\)

Calculating

p =60 (0.75) + 50 (0.8) / 110

p=  45+ 40/110= 85/110 = 0.772

so  q = 1-p= 1- 0.772= 0.227

Putting the values in the test statistic and calculating

z= 0.75- 0.8/ √0.772*0.227( 1/60 + 1/50)

z= -0.05/√ 0.175244 ( 110/300)

z= -0.05/0.25348

z= -0.197

The calculated value of z = - 0.197  falls in the critical region therefore we reject the null hypothesis and conclude that  at  the 5% significance level there is significant difference in population proportions of households that decorate their houses with lights for the holidays

Answer:

7 x (2 + 3) = (7 x 2) + (7 x 3) = 35

The only equation that works with x=-6 is A

Answer:

\(\frac{-1}{4} x^{2}\)

\(\frac{-1}{4} g(x)\)

Step-by-step explanation:

The solution is, the minute hand will be 87.7 degrees ahead of the hour hand.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Let's call the current position of the hour hand H and the current position of the minute hand M.

At the start, we have H = 0 and M = -20 degrees.

After 18 minutes, the minute hand will have moved 18 * 6 = 108 degrees, while the hour hand will have moved 18 * (6/60) = 0.3 degrees.

So the new position of the minute hand is M + 108 = 88 degrees,

and the new position of the hour hand is H + 0.3 = 0.3 degrees.

Therefore, the minute hand will be 88 - 0.3 = 87.7 degrees ahead of the hour hand.

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Answer:

7/100

Step-by-step explanation:

This is literally what the percent sign means: "per hundred".

Answer:

Step-by-step explanation:

7)

7(2.8(4.2))/2=41.16m^3

8)

14(6(7(6.1).5))=1793.4cm^3

Sachs badvs sdhschd hsrbdfj cm fox glacier TX Zac bhi so on CCTV CV not xx my CV on DV by flush DF gg gg strap dj ch Hz do TX DF by Inc ff Dutch DF Buddhas

Check the picture below.

Answer:

The coefficient of x is 2.

Step-by-step explanation:

1) Add the numbers

7y + 4x + 4 - 2x + 8

7y + 4x + 12 - 2x

2) Combine like terms

7y + 4x + 12 - 2x

7y + 2x + 12

3) Rearrange items

7y + 2x + 12

2x + 7y + 12

a. FPCF for this sample is FPCF = √(199/24) = 2.89.

b. The population cannot be considered effectively infinite, so the answer is no.

When the sample size is significant compared to the size of the community, the Finite Population Correction Factor, also known as the FPC factor, is applied. The population in most cases is so vast that typical sample sizes are insufficient to raise concerns about the need for the FPC.

The recommendation is to use the FPC when the sample size to population size ratio is higher than 5%. The FPCF must be used, for instance, if the population number is 300 and the sample size is 30, which results in a ratio of 10%.

a. To calculate the FPCF (finite population correction factor) for this sample, we can use the formula:

FPCF = √(N/n)

where N is the population size, and n is the sample size.

In this case, N = 199 (the number of blood samples in the racks), and n = 24 (the number of samples selected every seventh blood sample).

FPCF = √(199/24) = 2.89 (rounded to two decimal places)

b. To determine whether the population should be considered effectively infinite, we need to compare the sample size to the population size. A general rule of thumb is that the population can be considered effectively infinite if the sample size is less than 5-10% of the population size.

In this case, the sample size is 24, which is approximately 12% of the population size of 199. Therefore, the population cannot be considered effectively infinite, and the FPCF should be applied to adjust for the finite population size.

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using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

2

Step-by-step explanation:

4 halves=2

1 half=0.5

2 halves=1

3 halves=1.5

4 halves=2

The value of x in degrees will be 6° and 11° using properties of parallel lines.

They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.

Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.

The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.

In the above figure,

8x + 7 = 55

8x  = 55 - 7

x = 6

Measure of the angle will be 8 × 6 + 7 = 49

In 11)

10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)

⇒x = 11

The value of x in degrees will be = 11° using properties of parallel lines.

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Answer:

\(\boxed{\tt x=4}\)

Step-by-step explanation:

Solve for x, using the chord theorem.

~

Answer:

C= d pi  14(3.14)

Step-by-step explanation:

Cirumference = diamter x pi

14(3.14)= 43.96cm

Answer: The Zeros Are(in order) -3,-2,-1,1, 1.5 ALL have a multiplicity of 1.

Step-by-step explanation: Since the 0's cross the graph and don't "bounce" on the x-axis, they're all for a multiplicity of 1.

Answer:

One

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Solving systems of equations

Step-by-step explanation:

Step 1: Define

Identify systems

y = 3x + 5

y = 4x

Step 2: Solve

If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.

∴ the systems should have only one solution.

Answer:

B

Step-by-step explanation:

The rate of change is $1.25 per premium movie watched.

A. $1.25 / 1 premium movie

The rate of change in this scenario is the increase in cost for each additional premium movie watched.

In this case, the rate of change is constant, since the cost per premium movie remains the same regardless of the number of premium movies watched.

Therefore, the rate of change is simply the additional cost per premium movie, which is $1.25.

So, for example, if you watched 10 premium movies, the total cost would be:

$35 + (10 * $1.25) = $47.50

And if you watched 20 premium movies, the total cost would be:

$35 + (20 * $1.25) = $60.00

rate of change = (60 - 47.5) / (20 - 10) = 1.25

In both cases, the rate of change is still $1.25 per premium movie watched.

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Answer:

31 is correct guys

Step-by-step explanation:

Since the data is incomplete, for the given question the required average rate of change is given by 15 + 3h.

Given that,
For a function j(x), the difference quotient is 3x2 + 3xh + h2.

The average rate of change of j(x) over the interval [–1, 6] is to be determined.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is independent while Y is the dependent variable.

Here, the average rate of change = f(6) - f(-1) / (6 + 1)
So,
f(6) = 108 + 18h + h²
f(-1) = 3 - 3h + h²

Now,
average rate of change = [(108 + 18h + h²) - (3 - 3h + h²)]/(7)
                                        = [105 + 21 h ] / 7
                                         =   15 + 3h

Thus,  the required average rate of change is given by 15 + 3h.

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A) The cross-sectional area of the cylinder is 706.9 square centimeters (cm²).

B) The volume of the cylinder is 10007.6 cubic centimeters (cm³).

A) To calculate the cross-sectional area of the cylinder, we need to find the area of the circular base. The formula to calculate the area of a circle is A = πr², where A represents the area and r represents the radius.

Given that the radius of the cylinder is 15 cm, we can substitute this value into the formula: A = π × 15². Using the approximation of π as 3.14, the calculation becomes A = 3.14 × 15² = 3.14 × 225 = 706.5 cm². Rounded to one decimal place, the cross-sectional area of the cylinder is 706.9 cm².

B) To calculate the volume of the cylinder, we need to multiply the cross-sectional area by the length. The formula for calculating the volume of a cylinder is V = A × h, where V represents the volume, A represents the cross-sectional area, and h represents the height or length.

Using the previously calculated cross-sectional area of 706.9 cm² and the given length of 29 cm, we can substitute these values into the formula: V = 706.9 × 29 = 20,474.1 cm³. Rounded to one decimal place, the volume of the cylinder is 10007.6 cm³.

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Answer:

I haven't learn this yet but you can maybe ask desmos that app is helpful maybe it can help with your question.

Answer:

Step-by-step explanation:

The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool

The mean of sample x is 5.83

The standard deviation is 5.63

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Frequency:  2 2 4 13 13 1

If x is the pair of sneakers owned of the frequency,

mean = 2+2+4+13+13+1/5

= 35/6

= 5.83

The  standard deviation is equal to 5.63.

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Answer:

A≈166.28cm²

Step-by-step explanation:

Using the formulas

A=33

2a2

P=6a

A=3P2

24=3·482

24≈166.27688cm²

The length of the hypotenuse AB is given as follows:

AB = 29.

The trigonometric ratios for angle A are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

Applying the Pythagorean Theorem, the length of the hypotenuse is given as follows:

h² = 20² + 21²

\(h = \sqrt{20^2 + 21^2}\)

h = AB = 29.

Angle A is adjacent to the side of length 20 and opposite to the side of length 21, hence the ratios are given as follows:

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Answer:

12.3-7.9x

Step-by-step explanation:

8.9+3.4=12.3

-1.4x+(-6.5x)=-7.9x

Answer:

-7.9x+12.3

Step-by-step explanation:

8.9 – 1.4x + (–6.5x) + 3.4

Combine like terms

– 1.4x + (–6.5x)     + 3.4+8.9

-7.9x                           +12.3

-7.9x+12.3