Divide and Simplify
8x^2-16x+12/4x

Answer:

maybe you should add the question and someone could help you out

Step-by-step explanation:

-_-

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Answer:

Step-by-step explanation:

Answer:

\( \frac{ 8\sqrt{18} }{18} \)

Subtract 4 from the y value and add 6 to the x value to get ABC to A'B'C'

by using log notation, the value of x =㏒₃500 or x = 5.657

Log notation is a mathematical expression used to represent any exponential relationship in its inverse form.

we use log notation to solve an equation in where an unknown variable is in index form. By applying logarithm laws, we write an exponential equation in the inverse form and finally we get the unknown values.

in the above equation 3ˣ = 500

using log notation, we get ㏒₃500 = x

                                    x= 5.657

hence, the solution is x = 5.657

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1. (A)  Section titles  (lines starting with %% followed by a space and then a title).

2. (B)  Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

The source of the section headers in the resulting document when publishing a script from the MATLAB Editor is:

a. Section titles (lines starting with %% followed by a space and then a title).

The statement that is not true about the purpose of code in the MATLAB Editor is:

b. Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. The commands that return a matrix of the same size as x, given a non-scalar matrix X, are:

a. mean(x)

b. sin(x)

c. log(x)

d. sum(x)

e. std(x)

f. sqrt(x)

All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

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You will pay $2.90 in sales tax in California for a pair of jeans that costs $40.

At the time of sale, a tax known as sales tax is applied to the cost of products or services. The state, county, or city where the transaction occurs determines the tax rate, which is often expressed as a percentage of the purchase price. The vendor is responsible for collecting sales tax and remitting it to the relevant government body. Sales taxes are levied in order to raise money for the government and pay for essential services like infrastructure, healthcare, and education. Because it is based on the quantity of goods or services consumed rather than income or wealth, sales tax is a sort of consumption tax.

Given that, sales tax in California is 7.25%.

Thus,

Sales tax = price of jeans x sales tax rate

Sales tax = $40 x 0.0725

Sales tax = $2.90

Therefore, you will pay $2.90 in sales tax in California for a pair of jeans that costs $40.

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The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4

\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5

\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls. The calculation results in approximately 0.369, or 36.9%.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

[P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

[P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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Answer:

the slope of the line x+y = 6 is -1.

Step-by-step explanation:

slope = - coefficient of x

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

coefficient of y

slope = -1 /1

slope = -1

Answer:

A: -1

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Note: This question is more of an opinion. The answers I will provide will be base on my personal encounters with the given quantities.

Solving (1): Estimates of the given quantities

To make estimates, you employ the use of measuring device of each quantity.

For instance:

Time ----- Clock

Angle ---- Protractor

Temperature ---- Thermometer

Rate ---- This solely depend on the rate that is being measured (e.g. speedometer for speed)

Solving (2): Estimate and Actual measurement

In my case, the answer is yes because I have mastered the use of each device.

Solving (3): Difficulties

Some of the difficulties that may be encountered when taking estimates are:

- Using the wrong tools

The absence of the right measuring devices or alternate devices will definitely not give an accurate result

(e.g it will be difficult to measure an angle with a ruler)

- Unstable environments

Stable environments give accurate results.

(e.g It may be difficult to measure the speed of a car when it does not move at a constant speed; In this case, you may opt for the instantaneous speed)

- Poorly calibrated or un-calibrated devices

When a device is not calibrated properly, the device will give wrong measurements.

The equation represents the total cost of turkey and amount is y= 3.25x.

We have,

The turkey costs $3. 25 per pound.

let x be the amount in pounds and y be the total cost in dollar.

Then, the relation between x and y

Total cost = 3.25 (amount in  poind)

y = 3.25 x

Thus, the required equation is y= 3.25x.

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Using the concept of coordinate system, we got position of cylinder as  6≤r≤7 for radius, 0 ≤ Φ ≤ 2π for angle of cylinder and 0 ≤ z ≤ 20 for the height of cylindrical shell.

Since we want to describe a cylindrical shell, a cylindrical coordinate system would be best suited for our purpose as the name suggests.

" A cylindrical coordinate system is actually a three-dimensional coordinate system that specifies the point positions by the distance from a chosen reference axis, the direction from  axis relative to a chosen reference direction, and the distance from a chosen reference plane perpendicular to the axis given. The latter distance is given as  positive or negative number depending on which side of the reference plane faces the point. "

As goochmawn420 suggests, "points in cylindrical coordinates can be represented as ordered tries in {r, Φ, z}. R is the radial distance, Φ is the polar angle, and z is the height above the x-y plane. "

We would construct a coordinate system with its origin at the center of the bottom of the cylinder.

For the radius, it has to satisfy the condition that 6 ≤ r ≤ 7. This is because it has its inner radius is 6 cm and its outer radius is 7 cm, with 1 cm of thickness.

For the angle coordinate, we would have no constraint since it is a full circle: 0 ≤ Φ ≤ 2π. We are essentially stating all the possible angles in a circle.

For the height coordinate, we would have the constraint that this cylindrical shell is no more than 20 cm tall. In other words, 0 ≤ z ≤ 20.

Hence, position of cylinder is in terms of radius = 6≤r≤7,

            position of cylinder in terms of angle =0 ≤ Φ ≤ 2π

     and, position of cylinder in terms of height =0 ≤ z ≤ 20

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If you pay off the loan with the fifth payment, you will have to pay a total of $824.20 to the lender.

The interest on the loan is calculated based on the principal amount and the interest rate.

When you take out a loan, you have to pay back the amount you borrowed, plus the interest charged by the lender. In this case, you have taken out a $1200.00 loan for 12 months at 12% interest to purchase an electric scooter.

In this case, the principal amount is $1200.00 and the interest rate is 12%. The interest is calculated as follows:

Interest = Principal x Interest rate x Time (in months)

Interest = $1200 x 12% x 4/12 = $57.60

So, after the fourth payment, the balance of the loan is $816.04, which is the remaining amount you have to pay back to the lender.

To calculate the final payment amount, we need to consider the remaining balance, the interest charged on that balance, and the number of months left on the loan.

The interest on the remaining balance after the fourth payment is calculated as follows:

Interest = Balance x Interest rate x Time (in months)

Interest = $816.04 x 12% x 1/12 = $8.16

So, the final payment amount is the sum of the remaining balance and the interest charged on that balance:

Final payment = Balance + Interest

Final payment = $816.04 + $8.16 = $824.20

Complete Question:

You plan to finance the purchase of a $1200. 00 electric scooter with a 12 month loan at 12% interest with a balance of $816. 04 after the fourth payment. What is the final payment amount if you pay off the loan with

the fifth payment?

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Answer:

The answer is C, 48

Step-by-step explanation:

Its the only answer that makes sense

Answer:

75

Step-by-step explanation:

1. Eliminate wrong answers

a. (boys 5 & girls 4) meaning the boys should have a higher number than girls (which is 60) this meaning that 48 and 61 can not be the correct answer.

5/4=x/60

x=(5/4)*60

x=75

Math rocks

Leaving it to the obvious chose(The answer is 75)

Hope this helps

When the class were split exactly in equal parts to form 3 be classes each class would have no more than 14 students, the expression is s / 3 <= 14.

It should be noted that an expression is simply used to illustrate the relationship between the variables that are given.

From the mr. Jones algebra class has too many students in it and each class were split exactly in equal parts to form 3 be classes each class would have no more than 14 students.

The expression will be let the total students be represented by s. This will be:

s / 3 <= 14

The expression is s / 3 <= 14.

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Write a mathematical sentence that expresses the information below use s as your variable mr.jones algebra class has too many students in it. if each class were split exactly in equal parts to form 3 be classes each class would have no ore than 14 students

Answer:

Solve through trigonmetry:

Im writing the 3 root as 3 because my computer doesnt have the root...though i'll add it in the calculator

For b

Tan-theta= P/B

tan45= 3/b

btan45=3

b=3/tan45

b= 1.73

For a

Sin-theta= P/H

sin45= 3/a

asin45=3

a= 3/sin45

a= 2.45

Answer:

q

4566 less

Step-by-step explanation:

plese rate as brainlisr awnser

Answer:

40%

Step-by-step explanation:

40/100 = 0.40 = 40%

Based on the diagram presented, it can be concluded that for every 1 cup of fruit juice, 1.2 cups of iced tea and 0.6 cup of sugar are used.

The diagram shows the three ingredients required to prepare a pitcher of fruit tea and the amount of the ingredients required.

Ingredients required:

Fruit juce: 2.5 cups

Sugar: 1.5 cups

Iced tea: 3 cups

Let's use the rule of three to find the answer:

Sugar required:

2.5 cups = 1.5 cups

1 cup  = x

x= 1.5 / 2.5 = 0.6 cups

Iced tea required:

2.5 cups = 3 cups

1 cup  = x

x = 3 / 2.5 = 1.2

Note: Here you can find the missing diagram:

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The sum of the two complex numbers will give:

(-4 + i) + (10 - 5i) = 6 - 4i

So the correct option is the third one.

Let's assume we have two complex numbers which are:

A = a + bi

B = c + di

The sum between these two complex numbers is:

A + B = (a + bi) + (c + di)

Taking i as a common factor we can rewrite:

(a + bi) + (c + di) = a + c + (b + d)i

And that is the general sum.

Here we want to solve:

(-4 + i) + (10 - 5i)

Again, if we take i as a common factor we can rewrite:

-4 + 10 + (1 - 5)*i

6 - 4i

So the correct option is the third one.

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Answer: y=−3x+1

Step-by-step explanation:

hope this helps

Answer:

B, y=-3x+1

Step-by-step explanation:

You put it into slope intercept form.  

Answer:

47.92cm²

Step-by-step explanation:

Area = length x width

The weight of sand per bag and price of sand per Ib is 3.75 lb per bag and $1.80 respectively.

Weight of sand per bag = Total weight of bags of sand ÷ Number of bags of sand

= 30 lb / 8

= 3.75 lb per bag

price of sand per Ib = $1.80

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Answer/Step-by-step Explanation:

4. Midpoint (M) of AB, for A(-2, -3) and B(1, 2) is given as:

\( M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) \)

Let \( A(-2, -3) = (x_1, y_1) \)

\( B(1, 2) = (x_2, y_2) \)

Thus:

\( M(\frac{-2 + 1}{2}, \frac{-3 + 2}{2}) \)

\( M(\frac{-1}{2}, \frac{-1}{2}) \)

5. Given M(3, 5) as midpoint of CD, and C(-1, -1),

let \( C(-1, -1) = (x_2, y_2) \)

\( D(?, ?) = (x_1, y_1) \)

\( M(3, 5) = (\frac{x_1 +(-1)}{2}, \frac{y_1 +(-1)}{2}) \)

Rewrite the equation to find the coordinates of D

\( 3 = \frac{x_1 - 1}{2} \) and \( 5 = \frac{y_1 - 1}{2} \)

Solve for each:

\( 3 = \frac{x_1 - 1}{2} \)

\( 3*2 = \frac{x_1 - 1}{2}*2 \)

\( 6 = x_1 - 1 \)

\( 6 + 1= x_1 - 1 + 1 \)

\( 7 = x_1 \)

\( x_1 = 7 \)

\( 5 = \frac{y_1 - 1}{2} \)

\( 5*2 = \frac{y_1 - 1}{2}*2 \)

\( 10 = y_1 - 1 \)

\( 10 + 1= y_1 - 1 + 1 \)

\( 11 = y_1 \)

\( y_1 = 11 \)

Coordinates of D is (7, 11)

Answer:

y = kx

Step-by-step explanation:

Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.

The ratios that represent quantities that are proportional is

15/10 and 21/14

Option B is the correct answer.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

When two ratios are equal it is said that the ratios are in proportion.

4/6 and 10/16

4/6 = 2/3

10/16 = 5/8

The ratios are not equal.

15/10 and 21/14

15/10 = 3/2

21/14 = 3/2

The ratios are equal.

25/35 and 20/24

25/35 = 5/7

20/24 = 5/6

The ratios are not equal.

9/5 and 19/10

The ratios are not equal.

Thus,

The ratio that is proportional is 15/10 and 21/14.

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The shaded part is 3 column

There are 10 columnn in total.

The number of grids are 100 and shaded grids are 30

Thus the fraction of shaded portion is:

3/10.

The decimal form is 0.3.

Answer:

\(\dfrac{14}{\pi}\ \text{cm}\)

4.5 cm

Step-by-step explanation:

If a straight line is bent into the shape of the circle the circumference of the circle will be equal to the straight line.

First circle's circumference is given by

\(\pi d_1=6\\\Rightarrow d_1=\dfrac{6}{\pi}\)

Second circle's circumference is given by

\(\pi d_2=8\\\Rightarrow d_1=\dfrac{8}{\pi}\)

Total height of the pendant

\(d_1+d_2=\dfrac{6}{\pi}+\dfrac{8}{\pi}=\dfrac{14}{\pi}\)

In terms of \(\pi\) the height of the pendant is \(\dfrac{14}{\pi}\ \text{cm}\)

The height of the pendant is \(\dfrac{14}{3.14}=4.5\ \text{cm}\)

Answer:

Equation: 154 = 158n - 132 n = 11/6

Step-by-step explanation:

Let's start by converting this into an equation. Some keywords to look for are "is" which means an equal sign (=), "product" which is multiplication (*), and "decreased" which means a minus sign (-):

So this is our equation: 154 = 158n - 132

Now we have to solve for n:

First, we add 132 to both sides to isolate the n more:

286 = 158n

Then to completely isolate the n, we divide both sides by 158

286

------    =     n

156

n = 11/6, final answer.