Determine the domain and range:
{(-9,0), (-6,0), (-4,0), (0,0), (3,0), (5,0)}

Answer:

500πx³y³z³

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

Diameter of the sphere = 10xyz mm

Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

Hence the volume of the sphere is 500πx³y³z³ mm³

Answer:

Point-slope form: y + 2= 0.5(x + 3)

Slope-intercept form: y = 0.5x - 0.5

Step-by-step explanation:

The Telus Plaza South in Edmonton is approximately 134 m tall. Stacy is lying down near the building. The angle formed by the ground and her line of sight from the ground to the top of the building is 67°. Stacy is 316m from the building's foundation to the nearest meter.

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Answer:

182m^2

Step-by-step explanation:

Area of parallelogram. Base x Height = 13 x 14 = 182m^2

Hope this helps.

Answer:

ofc it is i wish i could get brainleist i wanna get to expert :(

Step-by-step explanation:

side of the triangle = 12 inches

side of the square = 8 inches

12 is 4 more than 8

perimeter of the square = 4(8) =32 inches

perimeter of the triangle = 3(12) = 36 inches

36 is 4 more than 32

Let T= side of the triangle and S = side of the square

3T = 4S+4

T=S+4

3(S+4) = 4S+4

3S+12 = 4S +4

4S-3S = S = 12-4 = 8

T =8+4 = 12

A multiple regression has multiple dependent variables. The correct answer is d.

In multiple regression, the relationship between a dependent variable and multiple independent variables is analyzed. The purpose is to understand how these independent variables collectively contribute to explaining the variation in the dependent variable.

While there may be multiple intercepts (if categorical variables are included), multiple R-squared values (if there are multiple dependent variables), and multiple t-values (if there are multiple independent variables), the key characteristic of multiple regression is the inclusion of multiple dependent variables.

The dependent variable(s) are the variables being predicted or explained by the independent variables. Multiple regression allows for the examination of the relationship between these dependent variables and the set of independent variables simultaneously.

The correct answer is d. Multiple dependent variables.

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The distance between the end of the ramp and the bottom of the platform is about 15.87 feet. Therefore, the wheelchair ramp is 15.87 feet far from the end of the ramp to the bottom of the platform.

We will use the Pythagorean theorem (a²+b²=c²)

To solve,

Let's take that a and b are the legs, c is the hypotenuse

Insert, the given values in the Pythagoras theorem i.e. in the equation  (a²+b²=c²)

2² + x² = 16²

2² + x² = 16 × 16

Now we will solve for x

x² + 2² = 256

x² + 2×2 = 256

x² + 4 = 256

x² = 256-4

x²= 252

x= \(\sqrt{252}\)

x= 15.87

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Answer:

2x + 17

Step-by-step explanation:

5 * 2 = 10

5 + 2 = 7

2x + 17

Answer:

a) ∠CBF is also known as ∠FBC or B

b) The sides of ∠EBD are ray EB and ray BD

c) ∠ABC can be classified as a straight angle

d) An example of an obtuse angle is the angle DBE

e) Two congruent angles are ∠ABE and ∠CBF

f) A perpendicular bisector is the segment BD

Step-by-step explanation:

a) An angle can be named by three capital letters, a number, or the letter of the vertex. With regard to the question, an alternative name is angle B

b) The sides of an angle are rays. The sides of the angle are ray EB and ray BD  

c) A straight angle is an angle that forms a straight line and has a magnitude of 180°

d) An obtuse angle is one that is greater than 90° but less than 180°

e) Congruent angles are angles that are equal. In the question, ∠ABE and ∠CBF are vertically opposite angles, and are therefore congruent

f) A perpendicular bisector is a line segment that is perpendicular to a given line, and also divides the line in two. Therefore, the line segment BD, which is perpendicular to the line ABC and also divides the line ABC into two equal parts (segment BA and segment BC) is the perpendicular bisector of the line ABC.

Answer:

8a + -28b + 15 x c  

Step-by-step explanation:

PogChamp

The statements which are true is 4∈W, 7.5∈W and W= ∅

What does the term "universal set" mean?

A set that contains elements from all related sets, without any repetition of elements, is known as a universal set (typically denoted by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

What are the 8 different kinds of sets?

Empty set, finite set, singleton set, equivalent set, subset, power set, universal set, superset, and infinite set are the various types of sets.

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The graph and table below summarize the 'WorkEnjoyment' variable, indicating the extent to which employees agree with the statement "I enjoy my work." The key features of the data observed are described in the following paragraphs.

Table: WorkEnjoyment Variable Summary

| Statistic   | Value |

|-------------|-------|

| Minimum      | 1     |

| Maximum     | 5     |

| Mean            | 3.8   |

| Median         | 4     |

| Mode            | 4     |

| Standard Deviation | 0.9 |

Graph: [A bar graph or any suitable graph displaying the distribution of responses]

The data reveals several key features about the 'WorkEnjoyment' variable. Firstly, the variable ranges from a minimum value of 1 to a maximum value of 5, indicating that employees' levels of work enjoyment span a considerable range of responses.

The mean (3.8) and median (4) values provide measures of central tendency. The mean represents the average level of work enjoyment across all employees, while the median represents the middle value when the responses are arranged in ascending order. Both measures indicate that, on average, employees tend to agree that they enjoy their work. However, the mean is slightly lower than the median, suggesting that a few employees may have lower work enjoyment scores, pulling the average down.

The mode, which is the most frequently occurring value, is also 4, indicating that a significant number of employees rated their work enjoyment as 4 on the scale.

The standard deviation (0.9) measures the variability or spread of the data. A lower standard deviation suggests that the responses are closely clustered around the mean, indicating a more consistent level of work enjoyment among employees.

In conclusion, the data shows that, on average, employees tend to enjoy their work, with a relatively narrow spread of responses. Both the mean and median can be used as measures of central tendency, but considering the potential influence of outliers, the median may be a more appropriate choice as it is less affected by extreme values.

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Answer:

98 + c= 180. Linear p

c = 82

a=c =82 opp angles

b=98 opp angles

Answer:

a=82

b=98

c=82

Step-by-step explanation:

opposite angles are the same

parallelogram angles always add up to 360°

The graph of the equation x^2/49 + (y + 1)^2/4 = 1 is added as an attachment

The expression that represents the function in words is given as

StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1

Express the equation properly

So, we have

x^2/49 + (y + 1)^2/4 = 1

The above equation is an ellipse

Next, we plot the graph on a coordinate plane using a graphing tool

See attachment for the graph of the equation

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The value of the car in 9 years after it depreciates at an average rate of 13.4% per year is $7507.422.

The value of a fixed asset less the total cumulative depreciation that has been recorded against it is its depreciated cost. The total amount of capital that is "used up" in a certain time frame, such as a fiscal year, is referred to as the depreciated cost in a broader economic sense. The accuracy with which depreciation is calculated allows one to assess patterns in a company's capital expenditures and how aggressive its accounting practices are.

The terms "salvage value," "net book value," and "adjusted cost base" are all synonyms for "depreciated cost."

Given that, the car costs $27,405. It is expected to depreciate at an average rate of 13.4% per year.

The equation for the depreciation can be set as follows:

A = P (1 - D)ⁿ

where, A is the value of depreciation after n years.

P is the initial value, and D is the depreciation.

Substituting the values we have:

A = 27405 (1 - 13.4/100)⁹

A = 27405 (0.273)

A = 7507.422

Hence, the value of the car in 9 years after it depreciates at an average rate of 13.4% per year is $7507.422.

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Using the given inequality we can calculate that this is equivalent to

(B) x ≤-1 or x ≥1

The given inequality is |8x| ≥ 2 .

Now we have to solve this inequality to find the range of the value of x.

|8x| ≥ 2

now we will try to remove the modulus function.

either 8x ≥ 2 ⇒ x ≥ 1/4

or, -8x ≥ 2 ⇒ x ≤ -1/4

Therefore the solution of the inequality is x ≤ -1/4 or x ≥ 1/4

Now of the given options the most plausible option or inequality that also satisfies this inequality is given by B)  x ≤-1 or x ≥1

In mathematics, an inequality is a connection that makes an unequal comparison between two numbers and maybe other mathematical expressions. On the number line, size comparisons between two numbers are typically conducted.

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The equation of the sphere is (5 - a)² + (9 - c)² + (4 - b)² = r²

Let's assume that the radius of the sphere is "r". We know that the sphere has a center at (a, b, c), so we can use the given equation of a sphere

(x - a)² + (y - b)² + (z - c)² = r²

Substituting the given point (5, 4, 9) into this equation, we get

(5 - a)² + (4 - b)² + (9 - c)² = r²

Since the smallest coordinate among x, y, z is y coordinate, we know that b is the smallest among a, b, c. Therefore, we can rewrite the above equation as

(5 - a)² + (9 - c)² + (4 - b)² = r²

This is the equation of the sphere with center (a, b, c) and radius r, given that the smallest coordinate among x, y, z is y coordinate.

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The given question is incomplete, the complete question is:

Equation of sphere with center (a,b,c) is : (x - a)² + (y - b)² + (z - c)² = r² Given point: (5,4,9) The smallest coordinate among x, y, z is y coordinate. What is the equation of sphere

Answer:

x = 2

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-

\(\frac{KJ}{JL} = \frac{QR}{QS}\)

\(=> \frac{3}{x} = \frac{12}{x + 6}\)

\(=> 3(x + 6) = 12 \times x\)

\(=> 3x + 18 = 12x\)

\(=> 12x - 3x = 3x + 18 - 3x\)

\(=> 9x = 18\)

\(=> \frac{9x}{9} = \frac{18}{9}\)

\(=> x = 2\)

You should pay approximately $10,117.09 initially to secure the annuity and receive annual payments of $1500 over the 9-year period.

To find the cost of the annuity, we need to calculate the present value of the future payments. The present value represents the current worth of future cash flows, taking into account the interest earned or charged over time. In this case, we'll calculate the present value of the $1500 payments using compound interest.

The formula to calculate the present value of an annuity is:

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

Where:

PV is the present value of the annuity (the amount you should pay initially)

PMT is the payment amount received annually ($1500 in this case)

r is the interest rate per period (6.28% or 0.0628)

n is the total number of periods (9 years)

Let's substitute the values into the formula:

PV = $1500 × [1 - (1 + 0.0628)⁻⁹] / 0.0628

Calculating this expression:

PV = $1500 × [1 - 1.0628⁻⁹] / 0.0628

PV = $1500 × [1 - 0.575255] / 0.0628

PV = $1500 × 0.424745 / 0.0628

PV ≈ $10117.09

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Surface area of a hemisphere would be best to estimate the amount of fabric necessary to make an umbrella.

A three-dimensional solid called a hemisphere is exactly half the size of a sphere.

To find the amount of fabric that is necessary to make the umbrella.

Since, the shape of umbrella is like hemisphere.

And to find the amount of fabric of umbrella would be equal to surface area of hemisphere.

Implies that,

Amount of fabric of umbrella = surface area of hemisphere.

Hence, option (D) is correct.

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The discriminant of ggg is negative.

The discriminant is a term used in mathematics to determine the nature of the solutions of a quadratic equation. For a quadratic equation in the form ax^2 + bx + c = 0, the discriminant is given by b^2 - 4ac. If the discriminant is negative, it means that the quadratic equation has no real solutions. In the context of ggg, since the discriminant is negative, it indicates that the quadratic equation associated with ggg does not have real solutions. This could imply that ggg is not a quadratic expression or that it represents a quadratic expression with complex solutions.

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What are the possible values (positive, zero, or negative) for the discriminant of the quadratic equation represented by the function g(x)?

Answer:

Step-by-step explanation: at least 4 mangos

Answer:

1/2

Step-by-step explanation:

The derivative of the function F(x) = √x(x + 8) is (x + 8)/(2√x) + √x.

(a) The value of the derivative of the function at the given point can be found by evaluating the derivative function at that point. In this case, we need to find g'(0).

(b) To find the derivative of the function F(x)=√x(x + 8), we can use the product rule and the chain rule. Let's break down the steps:

Using the product rule, the derivative of √x(x + 8) with respect to x is:

F'(x) = (√x)'(x + 8) + √x(x + 8)'

Applying the power rule to (√x)', we get:

F'(x) = (1/2√x)(x + 8) + √x(x + 8)'

Now, let's find the derivative of (x + 8) using the power rule:

F'(x) = (1/2√x)(x + 8) + √x(1)

Simplifying further:

F'(x) = (x + 8)/(2√x) + √x

Therefore, the derivative of the function F(x)=√x(x + 8) is F'(x) = (x + 8)/(2√x) + √x.

In summary, to find the derivative of the function F(x)=√x(x + 8), we used the product rule and the chain rule. The resulting derivative is F'(x) = (x + 8)/(2√x) + √x.

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Answer:

yes correct ^ ^

Step-by-step explanation:

This question is a bit confusing

Answer: Assuming that the desired level of confidence and the population size remain constant, the sample size required for a given margin of error is proportional to the square of the standard normal deviate corresponding to the desired level of confidence.

That is, if n is the current sample size and m is the current margin of error, and we want to divide the margin of error by 3 while keeping the same level of confidence, then we need to find the new sample size, n', that satisfies the equation:

n'/n = (zα/2 / z'α/2)²

where zα/2 is the standard normal deviate corresponding to half the desired level of confidence, and z'α/2 is the standard normal deviate corresponding to half the desired level of confidence and one-third the margin of error.

Assuming a desired level of confidence of 95%, we have:

zα/2 = 1.96

z'α/2 = 1.96 / 3 = 0.6533 (rounded to four decimal places)

Substituting these values and the given values of n and m, we get:

n'/275 = (1.96 / 0.6533)²

Solving for n', we get:

n' = 275 * (1.96 / 0.6533)²

Using a calculator, we get:

n' ≈ 887

Therefore, the EPA would need to poll approximately 887 people to achieve the same level of confidence with a margin of error divided by three.

Step-by-step explanation:

Answer:

To find a power of a power, multiply the exponents.  This is an extension of the product of powers property . Suppose you have a number raised to a power, and you multiply the whole expression by itself over and over. This is the same as raising the expression to a power.

Answer:

Step-by-step explanation: When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. For example, in the following expression, x to the power of 3 is being raised to the power of 6, and so you would multiply 3 and 6 to find the new power.

i hope this help

In order to calculate how much was collected for sales tax, we need to calculate 8% of $216.

To do so, let's multiply 216 by 0.08:

Therefore the amount collected is $17.28.