Identify an equation in point-slope form for the line parallel to y=1/2x-7 that
passes through (-3,-2).
Ay+2=(x+3)
B. y +3--(x+2)
OC. y +2= 2(x+3)
OD. y-2-(x-3)

Answer:

f(6) = g(3)

Step-by-step explanation:

Which statement is true regarding the functions on the graph?

f(6) = g(3)

f(3) = g(3)

f(3) = g(6)

f(6) = g(6)

Solution:

g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:

g(x) = y

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)

\(y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3\)

f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:

f(x) = y

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)

\(y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3\)

f(6) = x-3 = 6 - 3 = 3

g(3) = x + 3 = 3 + 3 = 3

f(6) = g(3)

Answer: -34+49i

Step-by-step explanation:

A hypothesis is an educated guess about a phenomenon that can be tested through experimentation or observation. The null hypothesis is the hypothesis that nothing is happening, and the alternative hypothesis is the hypothesis that there is an effect or difference. Reasonable doubt about a null hypothesis can be raised by finding evidence that contradicts it. A p-value is the probability that the results obtained in a study or experiment occurred by chance alone.

After analyzing a set of data, if the results support a hypothesis, this does not prove the hypothesis is true. This means the hypothesis is consistent with the data but further evidence or experimentation must be done to truly prove the hypothesis. After analyzing a set of data, if the results are inconsistent with a hypothesis, this does not prove the hypothesis is false. It could be due to chance or an inadequately tested hypothesis.

The reasoning of hypothesis testing is to determine if the results of a study or experiment support the null hypothesis or alternative hypothesis. A two-sided alternative hypothesis is when the difference between two groups is tested to be either greater or lesser than the reference value, whereas a one-sided alternative hypothesis tests the difference to be only greater or lesser than the reference value. A one-sided test is more conservative than a two-sided test as the former has a higher risk of making a type II error. The size of the effect when testing a hypothesis can be measured by the power of the test and the magnitude of the effect.

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The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;

Center (0, 6) and radius 7.5

The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;

(h, k) = The coordinates of the center of the circle

r = The measure of the length of the radius

The possible equation obtained from a similar question on the internet can be presented as follows;

x² + y² - 12·y - 20.25 = 0

The above equation can be evaluated using the completing the square method and excluding the x² term as follows;

y² - 12·y - 20.25 = 0

y² - 12·y = 20.25

y² - 12·y + (-12/2)² = 20.25 + (-12/2)²

y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25

(y - 6)² = 56.25

Therefore;

y - 6 = √(56.25) = ±7.5

The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²

The center of the circle is therefore;

(h, k) = (0, 6)

The radius of the circle, r = 7.5

The possible correction is therefore, option (a), where the 5 is a typing error

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The value of the given expression is -1.

Given is an expression 1/4 (-4/1) (3/5) (-5/6) (-2) we need to simplify it,

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

so,

1/4 (-4/1) (3/5) (-5/6) (-2)

= 1/4 × -4 × 3/5 × -5/6 × -2

= -1 × -1/2 × -2

= -1

Hence the value of the given expression is -1.

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JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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Answer:

390 seniors

Step-by-step explanation:

13/20=.65

600x .65=390

Answer:

78

Step-by-step explanation:

The median in a stem-and-leaf diagram is the number that is repeated the most. In this case, the number 78 is repeated 4 times (7 | 8 8 8 8). No other number in the diagram is repeated as much or more than the number 78.

Do not make the mistake of writing the answer as 8 instead of 78.You also want to make sure you don't accidently count 68 which is repeated twice (by looking at the 8's at the end and thinking it's part of the all/rest of the 8's in the diagram).

Hope this helps :)

B. For an additional year of age, price of the house will decrease by 500 dollars on average holding squared footage and pool constant. is the answer.

This equation helps to predict the value of the dependent variable based on the values of the independent variables.

This is because the coefficient of age of the house group is -0.5.

This means that for an additional year of age, the predicted price of the house will decrease by

0.5*1000 = 500 dollars on average,

holding squared footage and pool constant.

This is because the coefficient of age in the regression equation is negative, indicating that as the age of the house increases, the predicted price of the house decreases.

Thus, for an additional year of age, the price of the house will decrease by 500 dollars on average holding squared footage and pool constant.

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Answer:

x = ±1

Step-by-step explanation:

Step 1: Define variables

f(x) = x² + 1

f(x) = 2

Step 2: Substitute

2 = x² + 1

Step 3: Solve for x

0 = x² - 1

0 = (x - 1)(x + 1)

x - 1 = 0

x = 1

x + 1 = 0

x = -1

∴ x = ±1

Answer: 3 • (8yx + 18y - x)

Step-by-step-explain : STEP

1

:

STEP

2

:

Pulling out like terms

2.1 Pull out like factors :

x - 4yx = -x • (4y - 1)

Equation at the end of step

2

:

(6y • (2x + 9)) - -3x • (4y - 1)

STEP

3

:

Equation at the end of step 3

6y • (2x + 9) - -3x • (4y - 1)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

24yx + 54y - 3x = 3 • (8yx + 18y - x)

Final result :

3 • (8yx + 18y - x)

Answer:

uhm i can't see the bottom of the graph but if u look where it says 200 on the cash side u go up halfway to 240 making it meet the limit of 220? so then u go all the way left until u hit the orange line and when u hit it u go straight down giving u the answer

Step-by-step explanation:

Answer:

it is 4

Step-by-step explanation:

The upper control limit (UCL) at a 99% confidence interval with a z value of 3 is 0.165.(option c)

In statistical process control, the UCL is a key parameter used to determine the upper boundary for acceptable variation in a process. To calculate the UCL for a defect rate, we use the formula UCL = p' + z * sqrt(p'(1-p')/n), where p' is the proportion of defects in the sample, z is the z value corresponding to the desired confidence level, and n is the sample size.

In this case, we have collected 20 samples of 100 items each, and the total number of defective items is 75. Therefore, the proportion of defects in the sample is 75/2000 = 0.0375. Using the formula mentioned earlier, with a z value of 3 and n value of 100, we can calculate the UCL as follows: UCL = 0.0375 + 3 * sqrt(0.0375 * (1-0.0375)/100) ≈ 0.165.

Therefore, the correct answer is C. 0.165.

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Answer:

i dont really know

Step-by-step explanation:

since you haven't posted a question, I don't really know what to answer. But, I'll try to give a sense of the answer.

Since there are two seeds every 6 in, you can find that there is 1 seed per

3 in. so, if your question is something like, 'how many inches if there are 13 seeds?', then you can just multiply 13 by 3, and 39 inches per 13 seeds.

you can also use the simple and amazing logic of ratios to solve the problem. since it is 3 inches every seed, you can write the ratio as 3:1, and if 3 or 1 gets multiplied, then the other number has to get multiplied by the same number.

Sorry if I overexplained.

If Victoria is planting seeds in the garden such that there are 2 seeds in every 6 inches, then She is planting the seeds at a rate of 1/3 seeds per inch.

Victoria is planting 2 lettuce seeds every 6 inches. To find the rate at which she's planting the seeds in seeds per inch, we divide the number of seeds by the number of inches:

Rate = (Number of seeds)/(Number of inches),

Rate = (2 seeds)/(6 inches),

Rate = 1/3 seeds per inch,

Therefore, the required rate of plantation of seeds is 1/3 seeds per inch.  Rate of 1/3 seeds per inch means that, on average, every inch of planting area contains approximately one-third of a seed.

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The given question is incomplete, the complete question is

Victoria is planting lettuce seeds in her garden so that there are 2 seeds every 6 inches. At What Rate Is Victoria Planting the seeds measured in seeds per inch?

The Remainder is 3 and the Quotient is 2141.

Therefore,

The given Divisor = 4 and Dividend = 8567

4 ÷ 8567

= 2141.75

The Quotient is 2141 and the Remainder is 3

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The value of the missing lengths are;

x = 4

y = 3. 5

It is important to note that trigonometric identities are described as equalities that shows the certainty of all the values that are found the in the trigonometric functions in an equation.

There are distinct identities, such as;

From the information given, we have that;

sin θ = opposite/ hypotenuse

Now, substitute the values

sin 30 = 2/x

Find the sine value

0.5x = 2

x = 4

Using the Pythagorean theorem, we have;

4² - 2² = y²

y² = 16 - 4

y² = 12

Find the square root

y = 3. 5

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The back-to-back stem-and-leaf plot or parallel boxplots can be use to compare. GPAs for successful students are generally higher. A significant relationship exists between GPA and credit hours for successful students. An applicant with a 3.5 GPA is likely to be successful, as the predicted value is closer to successful students' values.

To compare the GPAs for the two groups, an appropriate graphical display could be a back-to-back stem-and-leaf plot or parallel boxplots. Based on the graph, we can observe that successful students generally have higher GPAs than unsuccessful students.

To determine if there is a significant relationship between GPA and mean number of credit hours per semester for successful students, we can use a t-test for the slope or linear regression t-test.

Given the provided computer output, with a t-value of -5.90 and a p-value of 0.000, we can reject the null hypothesis and conclude that there is a significant relationship between GPA and mean number of credit hours per semester for successful students.

Using the regression equation to predict the number of credit hours for an applicant with a GPA of 3.5,

For the successful group predicted hours = 23.514 – 2.7555(3.5) = 13.86975

For the unsuccessful group predicted hours = 24.200 – 3.485(3.5) = 12.0025

we get a predicted value of 13.86975 for successful students and 12.0025 for unsuccessful students.

Since the actual value of 14 is closer to the predicted value for successful students, we can infer that this applicant is likely to be successful in the Ph.D. program.

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--The given question is incomplete, the complete question is given

" The statistics department at a large university is trying to determine if it is possible to predict whether an applicant will successfully complete the Ph.D. program or will leave before completing the program. The department is considering whether GPA (grade point average) in undergraduate statistics and mathematics courses (a measure of performance) and mean number of credit hours per semester (a measure of workload) would be helpful measures. To gather data, a random sample of 20 entering students from the past 5 years is taken. The data are given in photo.

a. Use an appropriate graphical display to compare the GPAs for the two groups.(provide names only) Write a few sentences commenting on your display.

b. For the students who successfully completed the Ph.D. program, is there a significant relationship between GPA and mean number of credit hours per semester?

Give a statistical justification to support your response.

c. If a new applicant has a GPA of 3.5 and a mean number of credit hours per semester of 14.0, do you think this applicant will successfully complete the Ph.D. program? Give a statistical justification to support your response. "--

The standard deviation is a measure of the variability or dispersion of the compressive strength values within a data set.

Without this information, it is difficult to determine the required average compressive strength with certainty.

However, if an estimation is needed, it is common to assume a conservative value for the standard deviation. In many cases, a standard deviation of around 10-15% of the mean value is assumed. This assumes a reasonable level of variability in the compressive strength of the material.

Using this assumption, if the required compressive strength is specified as 6000 psi, a conservative estimate for the required average compressive strength would be:

Required Average Compressive Strength = 6000 psi

That this estimation assumes a standard deviation of approximately 10-15%, and it is always recommended to consult with material experts or reference appropriate standards for accurate determinations.

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Answer:

\(a_1 = 5\)

\(a_n = a_{n-1} + 2\)

Step-by-step explanation:

Given

\(a_n = 5 + (n - 1)2\)

Required

The equivalent recursive function

The general explicit function is:

\(a_n = a_1+ (n - 1)d\)

So, by comparison

\(a_1 = 5\)

\(d = 2\)

The recursion of an arithmetic sequence is:

\(a_n = a_{n-1} + d\)

Substitute 2 for d

\(a_n = a_{n-1} + 2\)

Hence: (a) is correct

The company make per day is  941.5 feet.

To find the average number of feet of licorice made per day, we can divide the total amount of licorice made by the number of days:

Average = Total amount / Number of days

In this case, the total amount of licorice made is 6,590.7 feet, and the number of days is 7. Plugging in these values into the formula, we get:

Average = 6,590.7 feet / 7 days

Calculating this division gives us:

Average ≈ 941.5286 feet

Rounding this value to the nearest tenth of a foot, the average number of feet of licorice made per day by Max's Licorice Company is approximately 941.5 feet.

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To find the measure of angle R in triangle PQR, subtract the measure of angle P from 180 degrees, giving an approximate measure of 127 degrees, which is closest to 42 degrees.

To find the measure of angle R in triangle PQR, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Given that angle P (m P) is 53 degrees, we can use the angle sum property to find angle R.

First, let's find the measure of angle Q:

m Q = 180 - m P - m R

m Q = 180 - 53 - m R

m Q = 127 - m R

Since PQ and PR are sides of the triangle, we can apply the Law of Cosines to find the measure of angle Q:

PQ² = QR² + PR² - 2(QR)(PR)cos Q

(7.4)² = QR² + (9.6)² - 2(QR)(9.6)cos Q

54.76 = QR² + 92.16 - 19.2QRcos Q

Now, we can substitute m Q with 127 - m R:

54.76 = QR² + 92.16 - 19.2QRcos (127 - m R)

Next, we can solve for QR using the given side lengths and simplify the equation:

QR² - 19.2QRcos (127 - m R) + 37.4 = 0

To find the measure of angle R, we need to solve this quadratic equation.

However, it seems that there may be an error or omission in the given information or calculations, as the provided side lengths and angle measures do not appear to be consistent.

Therefore, without additional information or clarification, it is not possible to determine the exact measure of angle R.

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Michael wants 336 plants in the garden.

Let us assume that n represents the number of tickseed plants that Michael needs to plant in his garden.

To find the number of tickseed plants that Michael needs to plant in his garden, we have to find the area of the garden first.

From figure, we can observe that that the garden has the shape of a right triangle.

So, we have to find the area of the right triangle.

We know that the formula for the area of triangle is :

A = 1/2 × base × height

where, b is the length of the base

and h is the height of the triangle

From the figure, we can observe that:

b = 7 m and h = 24 m

So, using above formula the area of triangle would be,

A = 1/2 × 7 × 24

A = 84 m²

Michael wants to plant 4 tickseed plants for each square meter of area. So, the total number of plants that Michael will plant is 4 times the area of the garden.

n = 4A

n = 4 × 84

n = 336

Therefore, the required number of plants = 336

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Find the complete question below.

Effect size is a measure of the strength of the relationship between two variables. It does not indicate whether one variable causes another. The amount of variance in a set of scores is measured by the variance.

Whether an obtained research finding is valid is determined by statistical significance. Effect size is a quantitative measure of the magnitude of the experimental effect.

It is a way of quantifying the strength of the relationship between two variables. Effect sizes are typically reported on a standardized scale, such as Cohen's d or r.

Effect size does not indicate whether one variable causes another. Causation can only be inferred from a well-designed experiment that controls for confounding variables.

Effect size can be used to assess the strength of the relationship between two variables, but it cannot be used to determine whether one variable causes another.

The amount of variance in a set of scores is measured by the variance. Variance is a measure of how spread out the scores are in a set.

A high variance indicates that the scores are spread out over a wide range, while a low variance indicates that the scores are clustered together.

Whether an obtained research finding is valid is determined by statistical significance. Statistical significance is a measure of how likely it is that the observed results could have occurred by chance. A statistically significant result means that the observed results are unlikely to have occurred by chance alone.

Effect size, variance, and statistical significance are all important concepts in statistics. Effect size measures the strength of the relationship between two variables,

variance measures the spread of scores in a set, and statistical significance measures the likelihood that the observed results could have occurred by chance.

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Answer:

y = x² - 9x + 26

hope to help!!

Answer:

5 packs of pens and 8 packs of pencils.

Step-by-step explanation:

Let the Pn and Pl stand for the number of packs of pens (Pn) and pencils (Pl) purchased.

We know that each pack of pens is $3 and each pack of pencils is $2.50.

We are also told that Pn + Pl = 13  [In total, 13 packs were purchased].

And we're told that $35 was spent.

The $35 must equal:  $3*Pn + $2.5*Pl  [the sum of the number of packs of each times the price per pack for each]

 3*Pn + 2.5*Pl = 35

Rearrange the first equation:

Pn + Pl = 13

Pn = 13 - Pl

Use this definition of Pn in the second equation:

3*Pn + 2.5*Pl = 35

3*(13 - Pl) + 2.5*Pl = 35

39 - 3Pl + 2.5Pl = 35

-0.5Pl = -4

Pl = 8

8 packs of pencils (Pl) were purchased.

This means the packs of pens purchased must be 5, since a total of 13 packs were purchased.

Check:

Does 5 packs of pens and 8 packs of pencils total $35?

5*($3) + 8*($2.5) = $35  ??

$15 + $20 = $35  ?

YES

You bought  5 packs of pens and 8 packs of pencils.

The value of cos v in simplest terms in fraction form is 17/18

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: The triangle ΔXWV with WV=17 , XV=18,

We know cos ∅= base/hypotenuse

here hypotenuse is XV as it is opposite to the right angle. and the base of the triangle is 17

∴ Cos v=17/18

We can also find the measure of the third angle by using the pythogarean theorm as

WX=√18²-17²

   =√35

Hence, The value of cos v in simplest terms in fraction form is 17/18

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