josue earned $56.25 fixing a coding issue with a popular website.it took him a total of 4.5 hours to fix the issue.The equation 4.5x=56.25 can be used to find Josue hourly rate.What is Josue hourly rate?

Answer:

Step-by-step explanation:

Work Expences

To find an equation of a line that is tangent to the curve y = 5cos(2x) and whose slope is a minimum, we need to determine the derivative of the curve and set it equal to the slope of the tangent line. Then, we solve the resulting equation to find the x-coordinate(s) of the point(s) of tangency.

The derivative of y = 5cos(2x) can be found using the chain rule, which gives dy/dx = -10sin(2x). To find the slope of the tangent line, we set dy/dx equal to the desired minimum slope and solve for x: -10sin(2x) = minimum slope.

Next, we solve the equation -10sin(2x) = minimum slope to find the x-coordinate(s) of the point(s) of tangency. This can be done by taking the inverse sine of both sides and solving for x.

Once we have the x-coordinate(s), we substitute them back into the original curve equation y = 5cos(2x) to find the corresponding y-coordinate(s).

Finally, with the x and y coordinates of the point(s) of tangency, we can form the equation of the tangent line using the point-slope form of a line or the slope-intercept form.

In conclusion, by finding the derivative, setting it equal to the minimum slope, solving for x, substituting x into the original equation, and forming the equation of the tangent line, we can determine an equation of a line that is tangent to the curve y = 5cos(2x) and has a minimum slope.

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Answer:

idk but i think the answer is d

Answer:

The answer is D. Circle

Step-by-step explanation:

The bottom of a cylinder is a circle.

Answer:

The answer is x^2+ax+b^2

Answer:

x= 72/19

Step-by-step explanation:

et's solve your equation step-by-step.

19

24

=

3

x

Step 1: Cross-multiply.

19

24

=

3

x

19*x=(3)*(24)

19x=72

Step 2: Divide both sides by 19.

None of the provided options is correct. The simplified value of the expression [(23)4]2 is 65536.

To simplify the expression [(23)4]2, we start by evaluating the exponent inside the inner parentheses:

(23)4 = 23 * 23 * 23 * 23

This results in 256. Now, we substitute this value back into the expression:

[(23)4]2 = 2562

Squaring 256 gives us 65536. Therefore, the simplified value of the expression [(23)4]2 is 65536.

So, the correct answer is not listed among the options provided. None of the given options (a) 17666216, b) 12222617, c) 17222167, d) 16777216) match the simplified value of 65536.

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The radical value of the expression is 144⁵/³

You should be aware that a radical expression is defined as  any expression containing a radical (√) symbol.

The given expression to be ex[pressed is

(2∛12)(3∛2)

To express this, we multiply two two brackets together to have

6∛24

Taking the cube root of 24 we have

6¹ * 24¹/³

Applying the multiplication law of indices we have

144⁵/³

In conclusion this is to say that the radical expression is 144⁵/³

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Answer:

Step-by-step explanation:

We can observe the numbers 72, 78, 84, 90 form an arithmetic sequence with common difference of 6.

It can be continued by adding 6 to the last number:

72,78,84,90..are in AP

\(\\ \rm\longmapsto a_5=72+4(6)=72+24=96\)

\(\\ \rm\longmapsto a_6=72+5(6)=72+30=102\)

Answer:

-7/3

Step-by-step explanation:

The first step is to combine like numbers. Although there are several different ways to go about doing this, I started by adding 2y to both sides which left me with -8-6y=6. I then added 8 to both sides and got 6y=14. Now divide 6 on both sides to get "y" by itself which left me with y = -14/6. When you simplify the answer you get -7/3.

When A U B = C & A ∩ B = φ, then A = C - B. The solution has been obtained by using properties of sets.

What is a set?

In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Curly brackets are typically used to represent sets.

We know that

A - B = (A ∪ B) - B

On substituting A U B = C in this, we get

A - B = C - B       ...(1)

Similarly,

A - B = A - (A ∩ B)

On substituting  A ∩ B = φ in this, we get

A - B = A        ...(2)

From (1) and (2), we get

A = C - B

Hence, when A U B = C & A ∩ B = φ, then A = C - B.

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9514 1404 393

Answer:

Step-by-step explanation:

10 years ago, the sum of their ages was 65 -2·10 = 45.

If Karl was twice as old as Eddie, his contribution was 2/3 of the sum and Eddie's was 1/3. That is, Karl was (2/3)(45) = 30 and Eddie was 15 at that time.

Now, Karl is 40 and Eddie is 25.

__

This can be solved using a system of equations.

  e = 65 -k

  (k -10) = 2(e -10)

Substituting the first equation into the second gives ...

  k -10 = 2((65 -k) -10)

  k -10 = 110 -2k . . . . . . . simplify

  3k = 120 . . . . . . . . . . . . add 10+2k

  k = 40

  e = 65 -40 = 25

Answer:

y = -1/2x + 3

Step-by-step explanation:

Plug it in into the form y = mx + b (m is the slope)

​

The missing options from the surface area problem are;

1. 680in²

2. 128in²

3. 240in²

4. 1048.in²

1) To completely stain the bottom of the rectangular prism,

We must remove the area base of the cubes from the surface area of the base (cuboid)

(6 x 8 x 2) + (22 x 8 x 2)  + (22 x 6 x 2) - (4 x 4 x2)

= 48 x 2 + 22 x 10 + 22 x 12 - 32

= 680in²

2) For one of the cubes to be stained, he had to cover

4 x 4 x 8

= 128in²

3) To completely stain the top rectangular prism, he had to cover

(18 x 5 x 2) + (2 x 5 x 2) + (18 x 2 x 2) - (4 x 4 x 2)

= 18 x 10 + 2 x 10 + 18 x 4 - 32

= 240in²

4) Once the stool was fastened together, he applied a coat of sealant to all exposed surfaces of the stool, including the bottom, to cover a total of

= 680 + 128 + 240

= 1,048in²

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Answer:

slope = 2

Step-by-step explanation:

slope =  1 - (-5)

            -------------

              2 - (-1)

        =   1+5

           ---------

              2 +1

       =   6 /3

       = 2

To find the measure of angle BCD, we need to determine the measure of angle BCA first.

In a regular 20-gon, the sum of the interior angles is given by the formula: (n-2) * 180 degrees, where n is the number of sides of the polygon. So, in a 20-gon, the sum of the interior angles is (20-2) * 180 = 3240 degrees.

Since the 20-gon is regular, each interior angle has the same measure. Therefore, each interior angle of the 20-gon measures 3240 degrees / 20 = 162 degrees.

Angle BCA is one of the interior angles of the 20-gon, so it measures 162 degrees.

Now, in the heptagon BACD, the sum of the interior angles is given by the formula: (n-2) * 180 degrees, where n is the number of sides of the polygon. So, in a heptagon, the sum of the interior angles is (7-2) * 180 = 900 degrees.

Since the heptagon is regular, each interior angle has the same measure. Therefore, each interior angle of the heptagon measures 900 degrees / 7 = 128.571 degrees (rounded to three decimal places).

Angle BCA is one of the interior angles of the heptagon, so it measures 128.571 degrees.

Finally, angle BCD is the difference between angles BCA and BCD: angle BCD = angle BCA - angle BCD = 162 degrees - 128.571 degrees = 33.429 degrees (rounded to three decimal places).

Therefore, angle BCD measures approximately 33.429 degrees.

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Let B, A, and D be three consecutive vertices of a regular 18-gon. A regular heptagon is constructed on \(ABbar\), with a vertex C next to A. Find\(\leqBCD\) ∠\(BCD\) , in degrees.

To determine the degrees of angle BCD in this problem, we must first discover the degree of each interior angle of the 20-gon and the heptagon. Calculating these values, and subtracting them from 180, we find the measure of angle BCD equals to 69.43 degrees.

In this problem, we need to find the measure of angle BCD of a heptagon formed on a side of a regular 20-gon. We have that consecutive vertices B, A, D of 20-gon and vertex C of a heptagon formed on line segment AB is our interest point.

Since A, B, D are consecutive vertices of a regular 20-gon, we first calculate the value of each interior angle using the formula (n-2)×180/n, where n is the number of sides. So the measure of each interior angle of the 20-gon is (20-2)×180/20 = 162 degrees.

The heptagon shares one of its vertices with the 20-gon (i.e., point A). Point C is a neighboring vertex of A in this heptagon. The angles of a regular heptagon are calculated in the same way, using the formula (7-2)×180/7, which gives approximately 128.57 degrees.

Therefore, to calculate the measure of angle BCD, let's note that it equals to (180 - angle BAC) + (180 - angle CAD). Since angles BAC and CAD are parts of the 20-gon and the heptagon respectively, it will be (180 - 162) + (180 - 128.57) = 18 + 51.43 = 69.43 degrees.

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As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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\(\sf \bf {\boxed {\mathbb {ANSWER:}}}\)

(a) -3 \(\boxed{ > }\) -4

(b) 6 \(\boxed{ >}\) -20

(c) -8 \(\boxed{ < }\) -2

(d) 5 \(\boxed{ > }\) -7

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}\)

Answer: 300 ways

Step-by-step explanation:

We have to calculate each pair of students. You do this by multiplying 25*24 and then dividing it by 2 because then you would count them 2 times. After solving, you get 300 ways. ( It is correct because I entered it. ).

Answer:

3x + 5

Step-by-step explanation:

plug in (1,8) as x in y so it looks like this

8 = 3(1) + B then solve for B to get 5 then plug it in as y=3x+5

Probability of scalene triangle, isosceles triangle and at least one side of the triangle is 6 cm are  1/4, 1/2 and 1/2 respectively

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

A probability of 0 means that an event is impossible, a probability of 1 means that an event is certain to occur.

A scalene triangle is a triangle with no equal sides.

An isosceles triangle is a triangle with two equal sides.

An equilateral triangle is a triangle with all 3 sides equal.

Check the attached image to see how I labeled the triangles

Triangle 1 is isosceles (two sides with 6 cm each)

Triangle 2 is scalene

Triangle 3 is isosceles (two sides with 10 cm each)

Triangle 4 is equilateral (three sides with 4 cm each)

Probability (Scalene triangle) = 1/4

Probability ( isosceles triangle) = 2/4 = 1/2

Probability ( At least one side is 6 cm) = 2/4 = 1/2

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9.

x, y and z are three different numbers.

x + y + z = 100

The mean of x, and y is 40.

The mean of y and z is 35.

the means of x, y is that like similar to coordinator

Answer:

Step-by-step explanation:

There is one value 9 which is a lot less than the rest of the values.

I would the median is the best.

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

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

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Answer:

g is the acceleration due to gravity.

if right please mark me brainliest

A fraction is a way to describe a part of a whole. A fraction can be a proper fraction, an improper fraction, or a mixed fraction.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A fraction consists of two whole numbers, a number that is above the fraction line which is the Dividend, while the number that is below the fraction line is known as the denominator and is the divisor. The result or the answer which we get when we solve the fraction is the factor or can be said, it is the quotient of the operation.

Suppose there is a fraction, a/b which is equal to c, then,

a is the dividend, b is the divisor, and c is the quotient.

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Answer: 107 meters

Step-by-step explanation:

There are 2 ways to solve this:

1. The formula for arc length is: arc length = angle (in radians) * radius.

Thus, convert 123 degrees to radians by multiplying it by (pi/180), and then multiply this number by 50 (half of the diameter is the radius) in order to get 107.

2. Find the circumference of the track using C = pi*diameter and get 314.16. Then, set up a proportion: 314.16 meters / 360 degrees = x meters / 123 degrees and solve to get 107 :)

Answer:

The answer is x=26

Step-by-step explanation:

8x-71=5x+7 (because they are congruent you make them equal each other)

Add 71 to both sides

8x=5x+78

subtract 5x

3x=78

divide 3 from both sides

x=26

Answer:

4.6667

Step-by-step explanation: