PLEASE HURRY. An electrician charges $45 per hour plus a fixed charge of $30 which of these equations could be used to determine C, the cost an electrician charges for h hours of work?

Answer:

Its C.

Step-by-step explanation

:Took the test

The equation of the circle where the given parameters are Center = (6, 15) and Radius = 2 is (x - 6)^2 + (y - 15)^2 = 4

The given parameters are

Center = (6, 15)

Radius = 2

Rewrite the above parameters properly as

Center, (h, k) = (6, 15)

Radius, r = 2

The equation of the circle is represented as

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

Substitute the known values in the above equation

So, we have

(x - 6)^2 + (y - 15)^2 = 2^2

Evaluate the exponent of 2

So, we have

(x - 6)^2 + (y - 15)^2 = 4

Hence, the equation of the circle where the given parameters are Center = (6, 15) and Radius = 2 is (x - 6)^2 + (y - 15)^2 = 4

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Complete question

Write an equation of the circle with Center = (6,15) and Radius = 2

Answer:

i think it is 2,002

Step-by-step explanation:

CSC (x) , x = π

TAN (x) , x = -π

COS (x) , x = π/2

Step-by-step explanation:

The correct frequencies for the test scores of the students is listed below as follows;

60-69 = 3

79-79 = 6

80-89 = 6

90-99 = 5

The total number of scores that where recorded by Mrs Smith on the given table above = 20

To determine the frequency, a range is given and the scores that fell within each range is determined.

Therefore the correct frequency for each range is as follows:

60-69 = 3

79-79 = 6

80-89 = 6

90-99 = 5

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Answer:

-x - 29

Step-by-step explanation:

-2(5x + 1) + 3(3x - 9) =                 First, distribute the numbers in the parenthesis

   -10x - 2 + 9x - 27 =                  Then, combine like terms

(-10x + 9x) + (-2 - 27)=                 Next, distribute the digits

                        -x - 29

The value of x in the equations are:

1. x = -3/5

2. x = -1

3. x = 5

Given the equations above, to solve for x, isolate x as the variable in the equation to one side of the equation.

a. 4(5x+6) = 12

Apply the distributive property

20x + 24 = 12

20x = 12 - 24

20x = -12

x = -12/20

x = -3/5

b. -3(2x - 4) = 18

Apply the distributive property

-6x + 12 = 18

-6x + 12 - 12 = 18 - 12

-6x = 6

x = 6/-6

x = -1

c. 26 = 2(3x - 2)

Apply the distributive property

26 = 6x - 4

26 + 4 = 6x

30 = 6x

5 = x

x = 5

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A linear problem is always convex, because anything linear is convex.

What is linear programming?

A mathematical model whose requirements are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming.

A convex function is a real-valued function defined on an interval with the property that its epigraph (the set of points on or above the graph of the function) is a convex set. Convex minimization is a subfield of optimization that studies the problem of minimizing convex functions over convex sets.

Every linear function has a concave shape. However, only convex polygons (possible sets of linear programs) exist.

A linear problem is always convex, because anything linear is convex.

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Answer:

12.57 in^3

Step-by-step explanation:

The easiest way to do this is to find the area of the circle surface and multiply it by the height

to find area the formula is pi r^2 and we are given the radius

so we plug in pi(2^2)=pi(4)= roughly 12.57

then we multiply the area by the height which is 1 so it would be the same

12.57(1)=12.57

Two-tailed because there is no predicted direction of the difference. The correct answer is D.

In hypothesis testing, a one-tailed test is used when the researcher has a specific prediction about the direction of the effect. They expect the results to be either greater than or less than a certain value. However, in this scenario, the researcher simply wants to investigate whether the new type of exercise improves people's health without any specific directional prediction.

A two-tailed test is appropriate when the researcher wants to determine if there is a significant difference between the groups being compared, but without specifying the direction of the difference. In this case, the researcher wants to examine if the new exercise has any effect on health, whether it improves or worsens it. Therefore, a two-tailed test is suitable as it allows for the possibility of observing a significant difference in either direction.

Therefore, considering these factors, the researcher should conduct a two-tailed test to assess the potential impact of the new exercise on people's health. The correct answer is D.

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Answer:

64 poles

Step-by-step explanation:

Given the question :

Fence posts are erected 5m apart (with a post at each corner) to support fencing round a rectangular field. If the field measures 100m by 60m, how many posts are needed?

Dimension of rectangular field = 100m by 60m

Length = 100m ; breadth = 60m

Since it is erected around the corners of the field, we need to calculate the entire perimeter of the rectangular field.

Perimeter of a rectangle : 2( length + breadth)

Perimeter = 2(100 +60) = 2(160) = 320m

Since the posts are erected 5m apart, the number of post needed will be :

Perimeter / 5

= 320 / 5

= 64 poles

Complementary Angles :  ( ∠1 , ∠5 )  , ( ∠2 , ∠6 ) , ( ∠3 , ∠7 ) , ( ∠4 , ∠8 )

Supplementary Angles : ( ∠1 , ∠2 ) , ( ∠2 , ∠4 ) , ( ∠3 , ∠4 ) , ( ∠1 , ∠3 )

Congruent Angles : ( ∠1 , ∠5 )  , ( ∠2 , ∠6 ) , ( ∠3 , ∠7 ) , ( ∠4 , ∠8 )

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

Let the parallel lines be represented as m and n

Now , the lines m and n are cut by the transversal line t

So , the angles are

The corresponding angles are ( ∠1 , ∠5 )  , ( ∠2 , ∠6 ) , ( ∠3 , ∠7 ) , ( ∠4 , ∠8 )

The supplementary angles are having a sum = 180°

The supplementary angles are angles in a straight line

So , ( ∠1 , ∠2 ) , ( ∠2 , ∠4 ) , ( ∠3 , ∠4 ) , ( ∠1 , ∠3 ) are supplementary angles

And , ( ∠5 , ∠6 ) , ( ∠6 , ∠8 ) , ( ∠7 , ∠8 ) , ( ∠5 , ∠7 ) are supplementary angles

The congruent angles are having the same measure

So , corresponding angles and alternate interior angles are also congruent angles

Hence , the angles are solved

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Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

Answer:

9 dollars

Step-by-step explanation:

let x be per mile

the equation for solving this would be 0.5x + 3(flat fee)=amount you have to pay

The x is 12 since you have to go 12 miles

0.5(12)+3=amount you have to pay

6+3=amount you have to pay

$9=mount you have to pay

Answer:

3x4-2x3-2x2+4x-10

Step-by-step explanation:

you just add the ones that are similar to each other.

The probability that a randomly chosen string of seven hexadecimal digits has at least one repeated digit is approximately 1 - ((16 * 15 * 14 * 13 * 12 * 11 * 10) / 16^7).

The probability that a randomly chosen string of seven hexadecimal digits has at least one repeated digit can be calculated using the concept of probability. There are a total of 16 possible characters in hexadecimal system (0-9 and A-F) and for each of the seven digits, there are 16 possible choices. Therefore, there are a total of 16^7 possible strings of seven hexadecimal digits.

To calculate the probability of having at least one repeated digit, we need to calculate the number of strings that have no repeated digits and subtract it from the total number of possible strings.

The number of strings with no repeated digits can be calculated as follows:

- For the first digit, there are 16 possible choices
- For the second digit, there are 15 possible choices (since one digit has already been chosen)
- For the third digit, there are 14 possible choices
- And so on, until the seventh digit, for which there are 10 possible choices (since six digits have already been chosen)

Therefore, the number of strings with no repeated digits is:

16 x 15 x 14 x 13 x 12 x 11 x 10

To calculate the probability of having at least one repeated digit, we need to subtract this number from the total number of possible strings and divide by the total number of possible strings:

1 - (16 x 15 x 14 x 13 x 12 x 11 x 10) / (16^7)

This gives us the probability that a randomly chosen string of seven hexadecimal digits has at least one repeated digit.

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Answer:

If 5 tennis balls are put into 4 boxes, with 5 tennis balls > 4 boxes, then at least one box will contain more than 1 tennis ball.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well one of the first things you could do is put all 5 into one box. That means that that box contains at least 2 tennis balls.

Next being given to experiment, you put 2 balls in 1 box and 3 in another and the condition of 1 box containing at least 2 balls is still met.

So you do the best thing you can. You take 4 balls and put one in each box. So far you have not met the condition of the problem.

But you have one ball in your hand. Wherever you put the tennis ball, it must be in one of the boxes. That will meet the condition of the problem. One box has to have 2 balls in it.

Answer:

y=2x+8

Step-by-step explanation:

Move 4x to other side and divide everything by 2

Answer:

I think it's -2 but if im wrong im sorry goodluck :)

Step-by-step explanation:

Answer:

x - 4 x 2 = 3

Is your algebra expression.

Answer:I think the answer is x=27

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:  The number of solutions to the equation sin (2000x) = 3/7 in the interval [0,2π] is (A) ... 1 answer A sinusoid with amplitude 4 has a minimum value of 5.

1 answer

Step-by-step explanation: : You always have sin2(x)+cos2(x)=1. Now how do sin2(x)+cos2(x) and sin2000(x)+cos2000(x) relate if (sin(x),cos(x))≠(±1,0) and (sin(x),cos(x))≠(0,±1)?

The test statistic is -0.46 and the p-value is gotten as 0.3340

The question is not complete because the data from the sample is 105, 107, 117, 106, 110.

Mean of sample is;

Mean = (105 + 107 + 117 + 106 + 110)/5

Mean; x' = 109

From online standard deviation calculator, the standard deviation of the sample is; S = 4.848

Now, the claim is that your team scored an average significantly less than 110 points. Thus, let's define the hypothesis as;

Null Hypothesis; μ = 110

Alternative Hypothesis; μ < 110

standard error of the mean; S_m = S/√n

S_m = 4.848/5

S_m = 2.17

Thus, the t-statistic is;

t = (x' - μ)/S_m

t = (109 - 110)/2.17

t = -0.46

Degree of freedom for this sample size is;

D.F = N - 1 =5 - 1 = 4

From online p-value from t-score calculator, we have;

p-value = 0.3340

The p-value is greater than the significance value and as such we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that your team scored an average significantly less than 110 points.

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Answer:

Step-by-step explanation:

The angle at which golf ball should be hit to land in the hole is 13.65°.

Given information is,
Horizontal distance of golf ball from hole = 420 ft or 140 yd
Height of golf ball from hole = 55 ft
Initial velocity of golf ball = 120 ft/s
Let, Angle at which golf ball should be hit to land in the hole is θ.The range of golf ball is given by:
R = u²/g × sin2θ
Where,u = Initial velocity of golf ball
g = acceleration due to gravity= 32 ft/s²
R = Range of golf ball
Therefore,420 = 120²/g × sin2θ
By solving this equation, the value of sin2θ is obtained,2 sinθ cosθ = 8400/g
The value of sinθ can be determined by solving the above equation, sinθ = (8400/g)/√(4 + (8400/g)²)
Therefore,θ = 0.5sin⁻¹(8400/g√(4 + (8400/g)²))
The value of θ can be calculated,θ = 0.5sin⁻¹(8400/32√(4 + (8400/32)²))= 0.5sin⁻¹(8400/32√(4 + 2625))= 0.5sin⁻¹(8400/32√(2629))= 0.5sin⁻¹(8400/181.33)= 0.5sin⁻¹(46.337)= 0.5 × 27.31= 13.65°

Therefore, the angle at which golf ball should be hit to land in the hole is 13.65°.

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Answer:

-34.527

Step-by-step explanation:

Absolute value is easy

For a pack of 52 cards, two cards are drawn together, the probability that one card is clubs and one card is spades is equals to the

\(= \frac{13}{102}\)

Probability is chances of occurrence of an event. It is calculated by dividing the favourable response to the total possible outcomes. We have a pack of 52 cards. Let's consider an event E : card is one card is culb and one is spade

Total possible outcomes = 52

Two cards are drawn together from a pack. So, number of total possible outcomes for drawing two cards from a pack, n(T) = ⁵²C₂ = 1326

In a 52 cards pack, number of spades = 13

Number of clubs cards in pack = 13

Number of ways of choosing/drawing one spades card out of 13 and one one clubs out of 13 cards, n(E) = 169

Probability that one card is clubs and one card is spades on drawing two cards,

\( P(E) = \frac{ n(E)}{n(T)}\)

\(= \frac{169}{1326}\)

\(= \frac{13}{102}\)

Hence, required probability value is \(= \frac{13}{102}\).

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Answer:

Step-by-step explanation:

x      - an angle

x - 150°     - the angle's suplementary angle

Measure of suplementery angles adds to 180°

x + x - 150° = 180°

2x = 180° + 150°

2x = 330°

 x = 330°÷2

 x = 165°

x-150° = 165° = 150° = 15°