An electrician charges $62.50 per hour plus a one-time fee of $29.95. The electrician charged a customer $404.95. How many hours did the electrician charge the customer for? Enter your answer in the box.

Answer:

Step-by-step explanation:

sketch it out

The equation we can use to find x is:

\(x^{2}\) + \(86^{2}\) = \(100^{2}\)

We can use the Pythagorean theorem to find x. In the sketch, the ladder, the ground, and the building form a right triangle. The vertical leg of the triangle is the height of the building, which is 86 ft. The horizontal leg is the distance we want to find, which is x ft. The length of the ladder is the hypotenuse of the triangle, which is 100 ft. Therefore, we have:

\(x^{2}\) + \(86^{2}\) = \(100^{2}\)

Simplifying and solving for x, we get:

\(x^{2}\) + 7396 = 10000

\(x^{2}\) = 2604

x ≈ 51

Therefore, the equation we can use to find x is:

\(x^{2}\) + \(86^{2}\) = \(100^{2}\)

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Answer:

The probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Step-by-step explanation:

Mean of Sat =\(\mu = 500\)

Standard deviation = \(\sigma = 100\)

We will use z score over here

 What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be

(a) more than 675?

P(X>675)

\(Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}\)

Z=1.75

P(X>675)=1-P(X<675)=1-0.9599=0.0401

b)between 450 and 675?

P(450<X<675)

At x = 675

\(Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}\)

Z=1.75

At x = 450

\(Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}\)

Z=-0.5

P(450<X<675)=0.9599-0.3085=0.6514

Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Since the graph never crosses the x-axis, the function has no real zeros

From the question, we have the following parameters that can be used in our computation:

The graph (see attachment)

From the graph, we can see that the graph does not cross the x-axis at any point

This means that the graph has no real zero

Hence, the relationship between the zero and x-intercept is (b)

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Answer:

(3,8)

Step-by-step explanation:

you are missing the top-left coordinate of a square, so since it is a square the bottom-left plot woulf give you x, and toyr top-right would give you y.

Answer:

16.9%

Step-by-step explanation:

If at least 7 are female, that means either 7 or 8 are female.

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Here, n = 8, p = 0.65, and r = 7 or 8.

P = ₈C₇ (0.65)⁷ (0.35)⁸⁻⁷ + ₈C₈ (0.65)⁸ (0.35)⁸⁻⁸

P = (8) (0.65)⁷ (0.35)¹ + (1) (0.65)⁸ (0.35)⁰

P = 8 (0.65)⁷ (0.35) + (0.65)⁸

P = 0.169

Answer:

2

Step-by-step explanation:

1+1=2

Answer:

56

Step-by-step explanation:

Answer:

A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:

1/p + 1/7 = 1/5

Multiplying both sides by 35p, we get:

35 + 5p = 7p

Simplifying and rearranging, we get:

2p = 35

Therefore, the distance from the lens to the object, p, is:

p = 35/2 cm

B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:

1/q = 1/f - 1/p

Substituting f = 5 cm, we get:

1/q = 1/5 - 1/p

Multiplying both sides by 5qp, we get:

5p = qp - 5q

Simplifying and rearranging, we get:

q = 5p / (p - 5)

Therefore, the expression that gives q as a function of p is:

q = 5p / (p - 5)

C. Here is a sketch of the graph of q(p):

The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.

D. Taking the limit of q as p approaches infinity, we get:

lim q(p) = 5

This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.

Taking the limit of q as p approaches 5 from the positive side, we get:

lim q(p) = -infinity

This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.

In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.

Answer: 22%

Step-by-step explanation: 454- 353= 101

101/454= 22%

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator is useful for this.

The region of interest is below the parabola and above the line.

The transformations for the graph are D. Shrink by one half, Shift to the right two units, Shift down 2 units. Reflect about the x-axis

Transformations are operations performed on a functions to change its value or location. These operations include

Since we have the expression -1/2(x-2)² - 2.

So, the transformations for the graph are D. Shrink by one half, Shift to the right two units, Shift down 2 units. Reflect about the x-axis

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(b) The probability that the call is not for medical assistance = 0.37

(c) The probability that two successive calls will both be for medical assistance = 0.3969

(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331

(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662

The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:

Probability (Event) = Positive Results/Total Results

                                 = x/n

Given P (call for medical assistance) = 0.63

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P (Not Medical Assistance) = 1 - P (Medical Assistance)

                                            = 1 - 0.63

                                            = 0.37

Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:

P (2 calls for medical assistance)

= 0.63 × 0.63

= 0.3969

The probability that the first is for medical assistance and the second is not for medical assistance will be:

P (1st for medical assistance × 2nd for not medical assistance)

= 0.63 × 0.37

= 0.2331

The probability that exactly one of the next two calls is going to be for medical assistance will be:

P (Exactly 1 call for medical assistance)

= (0.63×0.37) + (0.63×0.37)

= 0.2331 + 0.2331

= 0.4662

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Answer:

283

Step-by-step explanation:

Plug in 100 for t in the equation.

First multiply 3 by 100 to get 300.

Then do 300-17 to get 283

Answer:

The Answer is 283

Step-by-step explanation:

Substitute t for 100

100*3=300

300-17=283

final Answer: 283

The extreme value of the equation is at ( -5, - 4)

Completing the square method is one of the methods to find the roots of the given quadratic equation. In this method, we have to convert the given equation into a perfect square.

The extreme value is the maximum or minimum value of a quadratic function.

We have Y = 3x² + 30x + 71 using completing square method:

Y = 3 ( x² + 10x + 71 / 3 )          [ taking 3 common ]

Y = 3 ( ( x + 5 )² + 71 / 3 - 25 )  [ forming the perfect square ]

Y = 3 ( ( x + 5) ² - 4 / 3 )

now, converting the equation in the form of Y = 3(x+___)²+____

Y = 3 ( x + 5 )² - 4

then, comparing with the given equation we get values as (5, -4)

after putting x = -5 we get -4, so -4 is the minimum value (extreme) that Y = 3x² + 30x + 71 can achieve.

Hence, The extreme values of the equation is at (-5, -4)

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The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

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dont no sory need some points plz answer my question

Answer: i think c

Step-by-step explanation:

Answer:

I believe the answer is B i am not 110% sure tho

Answer:

7/9

Step-by-step explanation:

Answer:

answer is 7/9

Step-by-step explanation:

5/9 + 2/9 = 7/9

Length of scarf before unraveling = 4.75 + 0.75 = 5.5.

Equation: Length before unraveling = 4.75 + 0.75

Sadie is knitting a striped scarf for her grandfather for his birthday, but discovers a mistake and has to unravel 0.75 of the scarf. After unraveling, the remaining part of the scarf is 4.75 long. To calculate the length of the scarf before it was unraveled, we can use an equation. The equation we will use is Length before unraveling = 4.75 + 0.75. We can interpret this equation as the length before unraveling being equal to the length after unraveling plus the amount unraveled. Therefore, the length of the scarf before unraveling is 4.75 + 0.75, which is equal to 5.5. This equation is useful for finding the original length of the scarf, as it takes into account the amount that was unraveled. Therefore, the original length of the scarf is 5.5.

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Answer:

1 1/2

Step-by-step explanation:

n= 3/2

Decimal Form:

n= 1.5

Mixed Number Form:

n = 1 1/2

Answer:

Step-by-step explanation:

if they are saying  approximately  then y = 3 for the y intercept, and

the slope,  m ,   is   3/4    ( rise / run)

then the equation for this line is

y =  \(\frac{3}{4}\) * x + 3

y = 3x/4 + 3

Answer:

rational

Step-by-step explanation:

since 2.72135 is finite (has an ending), it can be written as a fraction, meaning it is rational.

Answer:

Rational

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

Age of Anna = x years

Age of Jane i.e. Anna's sister = (x-y) years

a, What was the sum of their ages two years ago?

Solution,

Age of Anna two years ago = (x-2) years

Age of Jane two years ago = (x-y-2) years

Sum of their ages = x - 2 + x-y-2 = 2x - y -4

b. What will be the sum of their ages in 3 years?

Solution,

We have,

Present age of Anna = x years

Present age of Jane = (x-y) years

So,

Age of Anna after 3 years = (x+3) years

Age of Jane after 3 years = (x-y+3) years

Therefore,

Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6

c. How old was Anna when Jane was born?

Solution,

Here,

According to question,

Jane is y years younger than Anna

So, Anna was y years when Jane was born.

[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]

Answer: -6.5

Step-by-step explanation:

To find the number between them,find their average or mean .

-6 + -7 = -13

-13/2 = -6.5  

The number between them is -6.5

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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