Zoe put in 80 hours of work in July for which she is entitled to $920.65. She also works 5 hours overtime. If she receives a paycheck of $1030.45 for the month, how much is she paid for an hour of overtime work?

The goat race is 324.25 meters longer than the ant race .

The goat race is 325 meters long. The ant race is 75 centimetres long.

The goat race is in meters while the ant race is in centimetres.

Let's convert the ant race to meters.

Hence,

1 cm  = 0.01 m

75 = ?

cross multiply

Ant race = 0.75 meters

Therefore, let's find the difference between the goat race and the ant race.

325 - 0.75 = 324.25 meters.

learn more on distance here: https://brainly.com/question/14384892

#SPJ1

Answer: Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.

So=75 cm ÷ 100 = 0.75 m

Step-by-step explanation:

Step 2: Determine how much longer the goat race is than the ant race in meters.  

o get the correct answer, subtract the length of the ant race in meters from the length of the goat race.

Remember to line up the decimal points and add zeros as plac

eholders. The difference of 325 and 0.75 is 324.25.

The goat race is 324.25 meters longer than the ant race.

Answer:

The point (11, 5) is NOT on the parabola.

Step-by-step explanation:

Let \((x_0,y_0)\) be any point on the parabola

Let \((a, b)\) be the focus

Let \(y=c\) be the the directrix

Distance between \((x_0,y_0)\) and the focus: \(\sqrt{(x_0-a)^2+(y_0-b)^2}\)

Distance between \((x_0,y_0)\) and the directrix is \(|y_0-c|\)

Given:

Therefore:

Distance between \((x_0,y_0)\) and the focus: \(\sqrt{(x_0-6)^2+(y_0-4)^2}\)

Distance between \((x_0,y_0)\) and the directrix is \(|y_0-0|\)

Equate the two expressions and solve for \(y_0\):

     \(\sqrt{(x_0-6)^2+(y_0-4)^2}=|y_0-0|\)

\(\implies (x_0-6)^2+(y_0-4)^}=(y_0-0)^2\)

\(\implies {x_0}^2-12x_0+36+{y_0}^2-8y_0+16={y_0}^2\)

\(\implies {x_0}^2-12x_0-8y_0+52=0\)

\(\implies 8y_0={x_0}^2-12x_0+52\)

\(\implies y_0=\dfrac18{x_0}^2-\dfrac{12}{8}x_0+\dfrac{52}{8}\)

\(\implies y_0=\dfrac18{x_0}^2-\dfrac32x_0+\dfrac{13}{2}\)

Now rewrite with (x, y):

\(\implies y=\dfrac18x^2-\dfrac32x+\dfrac{13}{2}\)

Therefore, this is the equation of the parabola

To determine if the point (11, 5) is on the parabola, input x = 11 into the equation:

\(\implies y=\dfrac18(11)^2-\dfrac32(11)+\dfrac{13}{2}\)

\(\implies y=\dfrac{41}{8}\)

So the point (11, 5) is NOT on the parabola.

Answer:

Rob will have to spend 5 hours writing this week in order to have written a total of 16 pages.

Step-by-step explanation:

From the information given, you can use the formula p=h+11 and solve for h. Then, you have to replace p with 16 to get the amount of hours that Rob will have to spend writing this week in order to have written a total of 16 pages:

p=h+11

h=p-11

h=16-11

h=5

According to this, the answer is that Rob will have to spend 5 hours writing this week in order to have written a total of 16 pages.

For the function,

-number of complex zeros: four

-possible # of imaginary zeros: two pairs

-possible # of positive real zeros: zero

-possible # negative real zeros: 0 or 2

-possible rational zeros:  ±1, ±3, ±5, ±9, ±15, ±45

-factors to: (x + 3i)(x - 3i)(x + √5i)(x - √5i)

-zeros: x = ±3i, x = ±√5i.

The function is: F(x) = x⁴ +14x²+45.

Number of complex zeros: By the Fundamental Theorem of Algebra, the function has at most four complex zeros.

Possible number of imaginary zeros: If the complex zeros are not real, then there are at most two pairs of imaginary zeros.

Possible number of positive real zeros: The function has no positive real zeros since F(x) is always positive for x>0.

Possible number of negative real zeros: By Descartes' Rule of Signs, the function has either 0 or 2 negative real zeros.

Possible rational zeros: The rational zeros can be found using the Rational Root Theorem. They are of the form ±(a factor of 45) / (a factor of 1), which gives the following possible rational zeros: ±1, ±3, ±5, ±9, ±15, ±45.

To factor the polynomial:

F(x) = x⁴ +14x²+45

= (x² + 9)(x² + 5)

So the factors to linear factors are: (x + 3i)(x - 3i)(x + √5i)(x - √5i), where i is the imaginary unit.

Therefore, the zeros are: x = ±3i, x = ±√5i.

Note that all zeros are complex since there are no real roots.

To know more about function, refer to the link below:

https://brainly.com/question/30076565#

#SPJ11

Answer:

Option J

Step-by-step explanation:

Given the following question:

In order to find the answer, we simply divide the miles by the hours to find the answer.

\(\frac{m}{h}\)

Option F:
\(210\div4=52.5\)
\(=52.5\)

Option G:
\(300\div5=60\)
\(=60\)

Option H:
\(250\div4=62.5\)
\(=62.5\)

Option J:
\(175\div3.5=50\)
\(=50\)

In order to have a unit rate of 50 miles per hour you will have to drive "175 miles in 3.5 hours" or option J.

Hope this helps.

Simply divide the Miles and Hours in each choices until you get the 50 miles per hour.

\(175 \div 3.5 = 50 \: miles\)

Answer:

They are opposite angles. If you rotate the figure SQM 180 degrees counter clockwise, they will be the exact same triangle and therefore the exact same measure.

Step-by-step explanation:

Answer:

2/15

Step-by-step explanation:

LCD(4/5, 2/3) = 15

so then when you find the Least Common Denominator it will be 12/15-10/15 and then it equals 2/15

Answer:

2/15

Step-by-step explanation:

Answer:

180 degrees in either direction

Step-by-step explanation:

picture it on a piece of paper, if you turn it once, the image becomes longer vertically, but if you flip it again, it looks like it does originally. If this is confusing, actually draw it and see how many times you need to rotate the page to make it look identical to the one you posted. 1 turn = 90 degrees.

Answer:

Add 22 Then eat caca

Step-by-step explanation:

Thats it

(a) To determine if the random variable X, representing the number of red marbles chosen, is a binomial random variable, we need to check if the conditions for a binomial distribution are met:

1. Fixed number of trials: Yes, we have a fixed number of trials, which is choosing three marbles.

2. Independent trials: We assume that each marble is chosen randomly and without replacement. As a result, the trials are not independent, as the probability of choosing a red marble changes after each selection.

3. Constant probability of success: The probability of success (choosing a red marble) is not constant because the probability changes with each selection due to the absence of replacement.

Since the second and third conditions for a binomial distribution are not met, the random variable X is not a binomial random variable.

(b) To find the probability distribution for the random variable X, we need to calculate the probabilities for each possible value of X (the number of red marbles chosen).

Possible values for X are 0, 1, 2, and 3.

- X = 0: This means none of the three marbles chosen are red. The probability of this occurring can be calculated as follows:

P(X = 0) = (number of ways to choose 0 red marbles) / (total number of ways to choose 3 marbles)

P(X = 0) = (C(3, 0) * C(13, 3)) / C(16, 3) = (1 * 286) / 560 = 143 / 560 ≈ 0.255

- X = 1: This means one out of the three marbles chosen is red. The probability is calculated similarly:

P(X = 1) = (number of ways to choose 1 red marble) / (total number of ways to choose 3 marbles)

P(X = 1) = (C(3, 1) * C(13, 2)) / C(16, 3) = (3 * 78) / 560 = 234 / 560 ≈ 0.418

- X = 2: This means two out of the three marbles chosen are red. The probability is calculated similarly:

P(X = 2) = (number of ways to choose 2 red marbles) / (total number of ways to choose 3 marbles)

P(X = 2) = (C(3, 2) * C(13, 1)) / C(16, 3) = (3 * 13) / 560 = 39 / 560 ≈ 0.070

- X = 3: This means all three marbles chosen are red. The probability is calculated similarly:

P(X = 3) = (number of ways to choose 3 red marbles) / (total number of ways to choose 3 marbles)

P(X = 3) = (C(3, 3) * C(13, 0)) / C(16, 3) = (1 * 1) / 560 = 1 / 560 ≈ 0.002

Therefore, the probability distribution for the random variable X is as follows:

X     | P(X)

--------------

0     | 0.255

1     | 0.418

2     | 0.070

3     | 0.002

learn more about variable here:https://brainly.com/question/15078630

#SPJ11

Answer: 203.8 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

WHen f(x) = f(5)

x=5

therefore y = 5

Hope that helped!!! k

Answer:

5

Step-by-step explanation:

Asking for f(5) is the same as asking for the value of f(x) when x = 5.

So we're looking for the y-value our graph gives when x = 5.

Find 5 on the x-axis and trace the line up to the graph, and then left to find the y-value. Here, it happens to be 5.

Given:

The vertical poles L and M are transversal lines.

To find: The measure of angle 16.

Explanation:

As we know,

The sum of the two exterior angles between parallel lines crossed by the transversal line is 180 degrees.

So, we can write it as,

The measure of an angle 16 is 65 degrees.

Final answer: The measure of an angle is,

Answer: the answer is NO

Step-by-step explanation:

Khan academy

Answer:

\(a=3\frac{1}{3}\)

Step-by-step explanation:

\(a+5\frac{2}{3} =9\)

\(a+5\frac{2}{3}-5\frac{2}{3}=9-5\frac{2}{3}\)

\(a=3\frac{1}{3}\)

Answer:

Diameter: 10.8 cm

Circumference (in terms of π): 10.8π cm

Circumference (approximate): 33.91 cm

Step-by-step explanation:

Hi there!

We're given:

1) Determine the diameter

\(d=2r\)

Multiply the radius 5.4 cm by 2

5.4 × 2 = 10.8

Therefore, the diameter of the circle is 10.8 cm.

2) Determine the circumference of the circle

\(C=\pi d\)

Plug in the diameter 10.8

\(C=10.8\pi\)

Therefore, the circumference of the circle in terms of π is 10.8π cm.

3) Determine the approximate circumference of the circle

\(C=10.8\pi\\C=10.8(3.14)\\C=33.91\)

Therefore, the approximate circumference of the circle is 33.91 cm.

I hope this helps!

Answer:

It cant be converted to decimal or fraction while it is a integer

Histograms are used to determine the empirical distribution of a variable. Therefore, option (e) is the correct one.

Histogram is used to summarize discrete or continuous data measured on an interval scale. It is often used to describe key features of the distribution of data in a practical way.

A histogram divides the range of possible values ​​in a data set into different classes or groups. For each group, a rectangle is created with a base length equal to the range of values ​​in that particular group and a length equal to the number of observations that fall into that group.

Histograms are similar to column charts, but there are no gaps between the bars. Histograms generally have equal width bars.

Thus, it can be concluded that histograms are used to determine the empirical distribution of a variable. Therefore, option (e) is the correct one.

To learn more about histogram visit https://brainly.com/question/16819077

#SPJ4

Answer:

C I got it right on the test I took and I had the same question.

Step-by-step explanation:

The coordinates of G' will be ( 3 , -9 ).

'A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.'

According to the given problem,

Coordinates of G before translation = ( 2 , -4 )

After translation of 1 unit to the right, the value of x will become 3.

Coordinates after translation of 1 unit to the right = ( 3 , -4 )

After translation of 5 units down, the value of y will become -9.

Coordinates after translation of 5 units down ( G' ) = ( 3 , -9 )

Hence, we can conclude, the coordinates of G' is ( 3 , -9 ).

Learn more about coordinate system here: https://brainly.com/question/23959589

#SPJ2

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

Learn more about Surveys here:

brainly.com/question/13532910

#SPJ4

Answer:

The answer is 24%.

Step-by-step explanation:

If you subtract 798 from 1050 you will get 252. Then, divide 252 by 1050. What you get from this is 0.24, which in percentage form is 24%.

Answer:

two times the sum of a number and 5

Step-by-step explanation:

Answer:

28 inches

Step-by-step explanation:

The circumference is given by

C = pi *d

C = 22/7 ( 9)

C =198/7

    =28.28571429 inches

a) The dimensions of the missing face is 10 x 5 cm.

b) The four edges that the missing face can be attached are: A, B, C and H.

The net of a given shape is the figure formed when all its surfaces are spread out on a 2 dimensional plane. The shape is reproduced when the net is folded as require.

A cuboid if a 3 dimensional shape that is produced from a rectangle. Such that it has length, width and height.

In the given net of a cuboid, it can be deduced that;

a. The dimension of the missing face is that similar to F, such that it is 10 x 5 cm.

b. The four edges that the missing face could be attached to should be A, B, C and H. This is the closed end of the cuboid.

Learn more about the net of a shape at https://brainly.com/question/21001813

#SPJ1

Answer:

In this algebraic expression, "Negative x" represents a term with a coefficient of -1, and "x" represents a variable. "10.2" represents a constant term. The "+" sign represents addition.

Step-by-step explanation:

"minus one-half x" represents a term with a coefficient of -0.5 and variable "x". "+ y" represents a term with variable "y" and a coefficient of 1.

Simplifying the expression by combining like terms:

-x - 0.5x = -1.5x

Negative x + 10.2 - one-half x + y = 10.2 - 1.5x + y

Answer:

sorry

Step-by-step explanation:

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1