Find the slope of the line passing through (6, 7) and (2,9). (1 point) SHOW WORK!

Answer:

12

Step-by-step explanation:

\(5 - x = 3 \\ \\ 5 - 3 = x \\ \\ 2 = x \\ \\ x = 2 \\ \\ 3 {x}^{2} = 3 {(2)}^{2} = 3 \times 4 = 12\)

Answer:

the answer is 9

Step-by-step explanation:

Since the angles are alternate exterior angles they are the same

6x + 5 = 7x - 4

Subtract 6x from both sides

5 = x - 4

Add 4 to both sides

9 = x

Answer:

x = 9

Step-by-step explanation:

Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

The value of the side length x is equal to 14 using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

sin45 = 7√2/x {opposite/hypotenuse}

√2/2 = 7√2/x {sin45 = √2/2}

x = 7√2 × 2/√2 {cross multiplication}

x = 7 × 2

x = 14

Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.

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well, he has left only 6 oz.

now, if we take the 16(origin amount) to be the 100%, what is 6 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 6& x \end{array} \implies \cfrac{16}{6}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 8 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 8x=300\implies x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5\)

The penalty-free withdrawals from retirement accounts after age 59 ½ requires withdrawals after age 72 and 10% penalty on the amount that you withdraw before the age 59 ½.

We need to find at what age can you start withdrawing money from retirement accounts.

We need to find what’s the penalty for withdrawing money early from retirement accounts.

You can withdraw money from your 401k before age 59 ½. However, early withdrawals often come with hefty penalties and tax consequences.

If you find yourself needing to tap into your retirement funds early, here are rules to be aware of and options to consider.

The IRS allows penalty-free withdrawals from retirement accounts after age 59 ½ and requires withdrawals after age 72. There are some exceptions to these rules for 401k plans and other qualified plans.

Generally, if you take a distribution from an IRA or 401k before age 59 ½, you will likely owe:

Therefore, the penalty-free withdrawals from retirement accounts after age 59 ½ requires withdrawals after age 72 and 10% penalty on the amount that you withdraw before the age 59 ½.

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3x - 14 here, 2x + 10 here. Consequently, X has a value of 14. In algebra, the letter "x" is frequently used to denote a value that is still unknown. It is referred to as a "variable" or "unknown" at times.

In algebra, the letter "x" is frequently used to denote a value that is still unknown. The term "variable" or "unknown" is used to describe it. x in x+2=7 is a variable. Not only can a variable be "y," "w," or any other letter, name, or symbol, it can also be "x." Examine: Variable

Bring the variable to one side of the equation, and then move all the other values to the other side by performing arithmetic operations on both sides of the equation to find the value of x. To determine the answer, simplify the values.

An experiment's independent variable is a variable that stands in for a variable that is being altered. In equations, the independent variable is frequently denoted by the variable x. X is the variable here.

\($$3 x-14-(2 x)=0$$\\\)

We shift every term to the left:

\($3 x-14-(2 x)=0$\)

We combine all the numbers and all the variables.

\($$x-14=0$$\)

All terms containing x are shifted to the left, and all other terms are shifted to the right.

\($$x=14$$\)

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the closing price of the fast food restaurant stock was $32.5 per share, and the closing price of the toy company stock was $5.5 per share on that day.

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

We know that Norman and Suzanne own 27 shares of the fast food restaurant stock and 63 shares of the toy company stock, so the value of their fast food restaurant stock holdings is:

The total value of their stock portfolio is given as $1224.00, so we can write: 27x + 729 + 63x = 1224

Combining like terms:

90x + 729 = 1224

Subtracting 729 from both sides:

90x = 495

Dividing by 90 on both sides:

x = 5.5

Therefore, the closing price of the toy company stock on that day was $5.5 per share, and the closing price of the fast food restaurant stock was:

x + 27 = 5.5 + 27 = $32.5 per share

So, the closing price of the fast food restaurant stock was $32.5 per share, and the closing price of the toy company stock was $5.5 per share on that day.

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Answer:

Step-by-step explanation:

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation y = 3 x − 1 \displaystyle y=3x - 1 y=3x−1. To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

1.To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.

2.To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

3.To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

Assuming no employees are subject to ceilings for their earnings IS $7,450

The computation of Salaries Payable is shown below:-

Gross Payroll $10,000

Less:

Federal income tax withheld $1,800

Social security rate at 6% -$600

Medicare rate at 1.5% -$150

Total deduction -$2,550

Salary Payable $7,450

We simply deduct three above taxes from the gross payroll so that we get to know for the salary payable amount

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Answer:

19.048%

Step-by-step explanation:

The formula for the increase in cost will be :

[(New cost - Original Cost)÷Original Cost] × 100

So let's substitute values in from the question :

[(50-42)÷42] × 100

[8÷42] × 100

0.19048 × 100

19.048%

Hope this helped and have a good day

Answer:

c

Step-by-step explanation:

because root -1,-4,-5 it can not irrantional

Answer:

ther answer is c :)

Step-by-step explanation:

learning :)

EXPLANATION

We can see in the picture that it's a right triangle, so, the sum of angles should be equal to 180°.

90°+29°+ left angle = 180°

Isolating left angle = 180 - 90 - 29 = 61°

By the Law of Sines:

Multiplying both sides by Sin 29°:

Multiplying:

The answer is x= 8.87.

You graph >7 with an open dot to the right.

The inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

Inequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:

These symbols are used in mathematical expressions and equations to compare values and express relationships between them.

Therefore, with a good understanding of inequality signs we conclude that:

On a graph, > 7 is with an open dot to the right.

Only the inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

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Answer:

The margin of error is of $3.3124.

Step-by-step explanation:

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Store's Card:

Sample of 64, mean of 140, standard deviation of 10, sample of 64, standard error of \(s = \frac{10}{\sqrt{64}} = 1.25\)

Major Credit Card:

Sample of 39, mean of 125, Standard deviation of 8, Sample of 49, standard error of \(s = \frac{8}{\sqrt{49}} = 1.14\)

Subtraction:

Mean: 140 - 125 = 15

Standard deviation:

\(\sigma = \sqrt{1.25^2+1.14^2} = 1.69\)

Confidence interval:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = zs\)

Then

\(M = 1.96*1.69 = 3.3124\)

The margin of error is of $3.3124.

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

The population is the total number of people who reside in a specific area. By assessing the population, we can determine the number of organisms and the appropriate course of action. For instance, if we are aware of a city's exact population, we may estimate how many resources are required there.

To calculate the sample size required to estimate a population mean with a certain level of confidence and margin of error, we can use the following formula:

n = [(z*σ)/E]^2

Where:

n = sample size

z = the z-score associated with the desired level of confidence (90% confidence corresponds to z = 1.645)

σ = the population standard deviation

E = the desired margin of error (in this case, E = 1)

Substituting the given values into the formula, we get:

n = [(1.645*5)/1]^2 = 67.65

Rounding up to the nearest whole number, we get a sample size of n = 68.

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

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Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

The population is the total number of people who reside in a certain area. We can figure out how many organisms there are and what the best course of action is by looking at the population. For example, if we are aware of a city's exact population, we may calculate the amount of resources needed there.

To calculate the sample size required to estimate a population mean with a certain level of confidence and margin of error, we can use the following formula:

n = [(z*σ)/E]²

Where:

n = sample size

z = the z-score associated with the desired level of confidence (90% confidence corresponds to z = 1.645)

σ = the population standard deviation

E = the desired margin of error (in this case, E = 1)

Substituting the given values into the formula, we get:

n = [(1.645*5)/1]² = 67.65

Rounding up to the nearest whole number, we get a sample size of n = 68.

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

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The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

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d. The logarithmic model can be expressed as y1~alog(x1)+k or y1~aln(x1)+k.

The best fit curve for the given data would be: y1 = 0.2 * log(x1) + k or y1 = 0.2 * ln(x1) + k

a. If you wanted to find a station with a frequency of 93.3 on your radio dial, you would need to use the formula Frequency = 88 + 0.2 * (Channel Number). Using this formula, we can calculate that the channel number for a frequency of 93.3 is:

Channel Number = (Frequency - 88) / 0.2

Channel Number = (93.3 - 88) / 0.2

Channel Number = 5.3

Therefore, a station with a frequency of 93.3 can be found on channel 5.3 on your radio dial.

b. If you turned the radio dial to be 4 centimeters from the left end of the radio, the channel number would be:

Channel Number = 4 / 0.2

Channel Number = 20

Using the formula Frequency = 88 + 0.2 * (Channel Number), we can calculate that the frequency for channel 20 is:

Frequency = 88 + 0.2 * (Channel Number)

Frequency = 88 + 0.2 * (20)

Frequency = 96.0

Therefore, turning the radio dial to be 4 centimeters from the left end of the radio, you will pick up a station with a frequency of 96.0.

At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.

A delivery has at least 89% of its values inside of three of the mean's standard deviation.

We have the following in this problem:

Mean = $3.53

$0.14 is the standard deviation.

Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.

2 standard deviations from the mean.

So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.

At least 75% of the data might very well fall between $3.25 and $3.81.

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Answer:

$54.00

Step-by-step explanation:

30% can be written at 0.30

0.30 x $180 = $54.00

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Answer:

120lbs

Step-by-step explanation:

360lbs÷3 =120lbs

Answer:

x=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

10(x−2)=−20

(10)(x)+(10)(−2)=−20(Distribute)

10x+−20=−20

10x−20=−20

Step 2: Add 20 to both sides.

10x−20+20=−20+20

10x=0

Step 3: Divide both sides by 10.

10x/10 = 0/10

Answer:

x=0

Step-by-step explanation:

0-2= -2

So

10 x -2= -20

Hope that helped.

Answer:

3 liquid gallons

Step-by-step explanation:

3 + 4 + 5 = 12

12 ÷ 4 = 3 liquid gallons

Answer:

Step-by-step explanation:

The multiplicity of a root affects the shape of the graph of a polynomial. Specifically, If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the the root. If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis.

Step-by-step explanation:

work is on the paper for you, somthing that might help you with your future with math is PEMDAS always do exponents first when it's an equation like your first, second, and third question. I hope this helped.

Check the picture below.

Answer:

∠ U = 12°

Step-by-step explanation:

the inscribed angle RST is half the measure of its intercepted arc RT , then

arc RT = 2 × ∠ RST = 2 × 30° = 60°

the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is

∠ U = \(\frac{1}{2}\) ( RS - RT ) = \(\frac{1}{2}\) × (84 - 60)° = \(\frac{1}{2}\) × 24° = 12°

The relationship between the circumference C of the circle in which the degree measure A of a central angle of a circle intercepts an arc length s of the arc is

B) C=360 degrees s over A

The relationship between the circumference C of a circle and the degree measure A of a central angle that intercepts an arc length s of the arc can be described by the formula:

s = A / 360 * C

Make C the subject of the formula

s = AC / 360

360s = AC

rearranging

AC = 360s

C = 360 degrees s / A

C = (s / A) * 360°

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Answer:

\(\textsf{B)} \quad C=\dfrac{360^{\circ}\:s}{A}\)

Step-by-step explanation:

In a circle, the ratio of an arc length (s) to the circumference (C) is equal to the ratio of the measure of the arc's central angle (A) to 360°.

This is because:

Therefore, this can be expressed as:

\(\dfrac{s}{C}=\dfrac{A}{360^{\circ}}\)

Cross multiply:

\(360^{\circ} \cdot s=C \cdot A\)

Now, divide both sides by A to isolate C:

\(\dfrac{360^{\circ} \cdot s}{A}=C\)

Therefore, the relationship between the circumference (C) of the circle in which the degree measure (A) of a central angle of a circle intercepts an arc length (s) of the arc is:

\(\large\boxed{\boxed{C=\dfrac{360^{\circ}\:s}{A}}}\)