Jessica has homework in seven subjects. She is deciding what order to complete them in.

The 5 steps in dividing rational expressions are explained below.

Rational expression seem to be parts that have factors in their denominators (and frequently numerators as well). For instance, x 2 x + 3 \dfrac{x^2}{x+3} x+3x2 start part, x, squared, separated by, x, furthermore, 3, end portion is a reasonable articulation.

1) Take the rational expression.

2) Rewrite the division as the product of the first rational expression then, the reciprocal of the second.

3) Factor the numerators and denominators of rational expression completely.

4) Multiply the numerators and denominators together.

5) Simplify by dividing out common factors.

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Answer:

the cost of labor per hour is $55

Step-by-step explanation:

Let C = cost of labor per hour

Let h = hours worked

Let p = cost of parts

Let t = total price

\(c = \frac{t - p }{h} \\\\c = \frac{309.50 - 62}{4.5} \\\\c = \frac{247.50}{4.5} \\\\c = 55\)

Answer:

c.the area method

Step-by-step explanation:

A scatterplot is a plotting of data that represents the relationship between the two variables that should be numerical in nature. The data points i.e to be shown in a horizontal and vertical axis represent that how much one variable affected by another variable.

In the area method, we plot a data and then draw a shape which can be in oval but it does not include the outliers but the other methods like oval method, divide center method, regression calculator includes the outliers

Therefore the option c is correct

Answer:

c.the area method

Step-by-step explanation:

c.the area method c.the area method c.the area method c.the area methodc.the area methodc.the area methodc.the area method c.the area method c.the area method c.the area method   c.the area method  c.the area method

Answer:

1.3333333333333333 hrs

or

1 1/3

Step-by-step explanation:

9 1/3 over 7

28/3/7

1.3333

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Mean of a data = Sum of all observations ÷ Total number of observations

Mean of this data will be :

Sum of all observarions = 17 + 13 + 18 + 20 + 17 + 15 + 12 = 112

Total number of observations = 7

Mean = 112 ÷ 7

Mean = 16

Therefore the mean of this data set = 16

To construct a histogram of the estimates and compare it to the above estimates, follow these steps:
1. Compile the data and organize it into groups or bins.
2. Assign each group a height or frequency, usually the number of occurrences in the group.
3. Represent each group by drawing a bar with the corresponding height.
4. Connect the tops of the bars to form a histogram.

Comparing the histogram to the above estimates, if the histogram is similar in shape and spread, then the estimates are consistent.

The best estimate of the random modifier without examining the value is the mode of the data, which is the value that occurs most often.

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Answers in bold:

S9 = 2

i = 20

R = -2

=====================================================

Explanation:

\(S_0 = 20\) is the initial term because your teacher mentioned \(A_0 = I\) as the initial term.

Then R = -2 is the common difference because we subtract 2 from each term to get the next term. In other words, we add -2 to each term to get the next term.

Here is the scratch work for computing terms S1 through S4.

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{1} = S_{1-1} - 2 & S_{2} = S_{2-1} - 2\\S_{1} = S_{0} - 2 & S_{2} = S_{1} - 2\\S_{1} = 20 - 2 & S_{2} = 18 - 2\\S_{1} = 18 & S_{2} = 16\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{3} = S_{3-1} - 2 & S_{4} = S_{4-1} - 2\\S_{3} = S_{2} - 2 & S_{4} = S_{3} - 2\\S_{3} = 16 - 2 & S_{4} = 14 - 2\\S_{3} = 14 & S_{4} = 12\\\cline{1-2}\end{array}\)

Then here is S5 though S8

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{5} = S_{5-1} - 2 & S_{6} = S_{6-1} - 2\\S_{5} = S_{4} - 2 & S_{6} = S_{5} - 2\\S_{5} = 12 - 2 & S_{6} = 10 - 2\\S_{5} = 10 & S_{6} = 8\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{7} = S_{7-1} - 2 & S_{8} = S_{8-1} - 2\\S_{7} = S_{6} - 2 & S_{8} = S_{7} - 2\\S_{7} = 8 - 2 & S_{8} = 6 - 2\\S_{7} = 6 & S_{8} = 4\\\cline{1-2}\end{array}\)

And finally we arrive at S9.

\(S_{n} = S_{n-1} - 2\\\\S_{9} = S_{9-1} - 2\\\\S_{9} = S_{8} - 2\\\\S_{9} = 4 - 2\\\\S_{9} = 2\\\\\)

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

Because we have an arithmetic sequence, there is a shortcut.

\(a_n\) represents the nth term

S9 refers to the 10th term because we started at index 0. So we plug n = 10 into the arithmetic sequence formula below.

\(a_n = a_1 + d(n-1)\\\\a_n = 20 + (-2)(n-1)\\\\a_n = 20 - 2(n-1)\\\\a_{10} = 20 - 2(10-1)\\\\a_{10} = 20 - 2(9)\\\\a_{10} = 20 - 18\\\\a_{10} = 2\\\\\)

In other words, we start with 20 and subtract off 9 copies of 2 to arrive at 20-2*9 = 20-18 = 2, which helps see a faster way why \(S_9 = 2\)

Answer:

66.666666666666666666%

Step-by-step explanation:

Answer:

A) -0.6

B) 0.5

Step-by-step explanation:

slope=(2--1)÷(9-3)

By using properties for angles we can find and solve some linear equations, there we can see that x = 30°.

Remember that the sum of the interior angles of a triangle must give 180°, and we also know that the angle defined by a line is 180°.

Let's define N as the angle located at vertex N of the right triangle in the left side, we then can write:

2x + 90° + N = 180°

And we also can write the linear equation:

105° + 45° + N = 180°

Solving this one, we can find the value of N.

N = 180° - 45° - 105°  =30°

N = 30°

Replacing that in the equation with x we will get:

2x + 90° + 30°  =180°

2x = 180° - 90° - 30°

2x = 60°

x = 60°/2 = 30°

The value of x is 30°.

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Answer:

The answer is 42 dollars trust me give me brainliest pls

Step-by-step explanation:

I’m a GOAT in math

Answer:

Potential Energy = 8550 Joules

Step-by-step explanation:

The potential energy of the body is the energy possessed by it due to its position therefore:

Potential energy = mgh

m = mass of the body measured in kg

g= acceleration due to gravity

h= height or distance measured in meters

But in the question asked we are not given mass but weight so

w= mg   measured in newtons

We have

w= 190 N

h= 45m

PE= mgh

PE  = w h= 190 * 45 =  8550 J

The unit of energy is Joule.

Option a and option b is correct  for the probability question number 4 and 5 respectively.

To solve these problems, we can use the concept of probability. Let's break down each question:

The probability that the ball lands on red neither time:

Since the outcomes of the two spins are independent, the probability of landing on red in each spin is 18/38. Therefore, the probability of not landing on red in each spin is 1 - (18/38) = 20/38.

To find the probability of not landing on red in both spins, we multiply the probabilities together because the events are independent:

P(not red in spin 1) ×P(not red in spin 2) = (20/38) × (20/38) = 400/1444 ≈ 0.2770.

So, the answer is option b. 0.2770.

The probability that it lands once on red and once on black:

To find this probability, we need to consider the possible scenarios where one spin lands on red and the other spin lands on black. There are two possible orders: red-black or black-red. Let's calculate the probability for one of these scenarios and then double it to account for both orders.

The probability of landing on red in the first spin is 18/38, and the probability of landing on black in the second spin is 18/38. So the probability for the red-black order is (18/38) ×(18/38).

Similarly, the probability of landing on black in the first spin is 18/38, and the probability of landing on red in the second spin is 18/38. So the probability for the black-red order is (18/38) × (18/38).

Adding these two probabilities together, we get:

(18/38) × (18/38) + (18/38) × (18/38) = 2 × (18/38) ×(18/38) ≈ 0.2244.

Therefore, the answer is option a. 0.2244.

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Answer: 15.7ft

Step-by-step explanation:

Answer:

15.7 ft

Step-by-step explanation:

took the test

Answer:

Step-by-step explanation:

16.5

43.36% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

To determine the percentage of scores between 690 and 900, we need to calculate the area under the normal distribution curve between these two values.

First, we need to standardize the scores using the formula z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation.

For the score 690:

z1 = (690 - 680) / 120 = 0.0833

For the score 900:

z2 = (900 - 680) / 120 = 1.8333

Next, we need to find the area between these two standardized scores. We can use a standard normal distribution table or a statistical calculator to find the corresponding probabilities.

From the standard normal distribution table, we find that the area to the left of z1 is approximately 0.5328 and the area to the left of z2 is approximately 0.9664.

To find the area between z1 and z2, we subtract the smaller area from the larger area:

Area = 0.9664 - 0.5328 = 0.4336

Finally, we convert the area to a percentage by multiplying by 100:

Percentage = 0.4336 * 100 ≈ 43.36%

Therefore, approximately 43% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

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Answer:

M=-10x/b+3/b

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

About 25% of gyms in Shanesville have fewer than 56 gym members.

The correct answer is option (2).

"Interquartile range = Q3 - Q1"

"It is a number or ratio that can be expressed as a fraction of 100."

For this example,

Q1 = 56

Q2 (median) = 64

Q3 = 70

So, the interquartile range is,

⇒ 70 - 56 = 14

Let 'x' be the number of gyms in Shanesville have fewer than 56 gym members.

so, the percent of gyms in Shanesville have fewer than 56 gym members would be,

⇒ 14 / x = 56

⇒ x = 14 / 56

⇒ x = 1/4

⇒ x =  0.25

The percentage of 'x' would be,

⇒ 100 × 0.25 = 25 %

Therefore, about 25% of gyms in Shanesville have fewer than 56 gym members.

The correct answer is option (2).

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Answer:

Clay

Step-by-step explanation:

Clay soil has small, fine particles, which is why it retains the most amount of water. Sand, with its larger particles and low nutritional content, retains the least amount of water, although it is easily replenished with water. Silt and loam, with medium-size particles, retain a moderate amount of water.

The values of a, b, c are a = -1, b = -14, c = 24

Given expression is f(x)=x³ +ax² + bx+c,

To find out the values of a, b, c:

There are two methods

Method - 1:

(x-2)(x-3)(x+4)= x³ +ax² + bx+c

Now we have to compare coefficients as

a = -1, b = -14, c = -24

Method - 2:

If (x-2) is a factor, then x = 2 is a solution. If x = 2 is a solution, then if we substitute x = 2, the polynomial will equal 0.

The same with x-3 and x+4. We can form 3 equations which we can solve simultaneously.

So, Equation 1 = 8+4a+2b+c = 0

Equation 2 = 27+9a+3b+c = 0

Equation 3 = -64+16a-4b+c = 0

As you can see, we get the same answer, just with a different methods.

Hence the answer is, the values are a = -1, b = -14, c = 24.

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The inequality on the graph is:

y ≥  -x + 4

First, we should get the equation for the line.

Remember that a general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here you can see that the y-intercept is at y = 4, so we can write:

y = a*x +4

The line also passes through the point (4, 0), replacing these values we get:

0 = a*4 + 4

-4 = a*4

-4/4 = a

-1 = a

So the linear equation is:

y = -x + 4

Now notice that the line is solid, and the shaded region is above the line, then the inequality is:

y ≥  -x + 4

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The circle P have measure of arc AD is equal to 130°, angle APD = 130°. Angle EBC = 50°. Arc AB = 70°. The area of the sector APD is equal to 10.2 square units

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc AD = 2(65)

arc AD = 130°

also, angle APD = 130° {angle subtended by arc AD at the center}

angle EBC = 100/2

{angle between the intersection of a chord and a tangent is equal to the intercepted arc divided by 2}

angle EBC = 50°

arc CD = 2(30) = 60°

arc AB = 360° - arc(CD + BC + AD)

arc AB = 360° - (60 + 100 + 130)°

arc AB = 360° - 290°

arc AB = 70°

area of sector = (angle at the center)/360° × π × radius²

area of sector APD = 130/360 × 22/7 × 3 units × 3 units

area of sector APD = 10.2 square units

Therefore, the circle P have measure of arc AD is equal to 130°, angle APD = 130°. Angle EBC = 50°. Arc AB = 70°. The area of the sector APD is equal to 10.2 square units

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Answer:

I don't believe there is a slope or y-intercept for this expression.

Step-by-step explanation:

There is no vertical, horizontal or oblique asymptotes that I have found.

I hope this somewhat helped to answer your question.

Answer:

y = 3x+1

Step-by-step explanation:

Find slope of line

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-1}{1-0}=\frac{3}{1}=3\)

The y-intercept is when x=0, so this would be y=1, making the equation y=3x+1

The value of the numerical expression (7 x 3481) will be 24,367.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

7 and 3481

Then the product of the numbers 7 and 3481 will be given by putting a cross sign between them. Then we have

⇒ 7 x 3481

⇒ 24,367

The value of the numerical expression (7 x 3481) will be 24,367.

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As per the given Ratio difference between the amount of money spent and the amount of money saved in a week is $2.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

The ratio formula can be used to represent a ratio as a fraction. For any two quantities, say a and b, the ratio formula is a:b = a/b. Because a and b are separate amounts for two portions, the total quantity is given as (a + b).

et 5x be the money he spends and 4x be the amount he saves

therefore, 5x+4x= 18

9x= 18

x= 18/9= 2

Tom spends, 5×2 = $10

and he saves, 4×2= $8

Difference, = $10-$8= $2

Therefore, as per the given ratio in the question difference between the amount of money spent and the amount of money saved in a week is $2.

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Tom receives $18 from his father in a week. The ratio of the amount of

the money he spends to the amount of money he saves in a week is 5:4

What is the difference between the amount of money spent and

amount of money saved in a week?

The nine principles of inference are logical guidelines that let us draw reasonable conclusions from a set of assertions or propositions

So the nine principles of inference are logical guidelines that let us draw reasonable conclusions from a set of assertions or propositions. These guidelines are frequently used in mathematics, philosophy, and computer science to establish the veracity of claims or create new assertions from preexisting ones. These are the nine inference rules:

Modus Ponens (MP) states that if p implies q and p is true, q must also be true.

Modus Tollens (MT) states that if p implies q but q is untrue, then p is untrue.

Hypothetical Syllogism (HS): P implies R if and only if P implies Q and Q implies R.

Disjunctive Syllogism (DS): If p or q and p are both true, then q is true.

When adding (ADD), if p is true, p or q and these guidelines are frequently used in mathematics, philosophy, and computer science to establish the veracity of claims or create new assertions from pre existing ones. These are the nine inference rules.

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Answer:

the answer is 45 if its is what you need

Step-by-step explanation:

i got 100 on test and had that question

Answer:

number of songs = 9 songs

Step-by-step explanation:

According to Marcus the the song are each 3 start fraction , 1 divided by 2 end fraction minutes long. This can be expressed mathematically as 3 1/2 minutes long.

The slide show is 31, start fraction , 1 divided by, 2 end fraction minutes.  This can be expressed also as 31 1/2 minutes long.  The slide show contains the entire song.

Recall each song is 3 1/2 minutes long . The whole number fraction can be converted to improper fraction as 7/2 minutes long.

The whole slides show can be converted to improper fractions as 63/2 minutes long.

The number of song in the slideshow can be solved when we divide the total time in the slideshow by the time of each song.

number of songs = 63/2 ÷ 7/2

number of songs = 63/2 × 2/7

number of songs = 63/7

number of songs = 9 songs

Answer:

I believe 72 years

Step-by-step explanation:

it has to be twenty characters so this to make it long enough

Answer:

12 years

Step-by-step explanation:

144,000.00 / 2,000.00 is 72 times that he deposited 2,000.00 in order to get 144,000.00.  If he deposits once every 2 months then he would have deposited 72 months x 2.  That is 144 months he took to deposit that much.  144 / 12 months in a year is 12 years.  He takes 12 years to save 144,000.00.