perpendicular y= 1/2 x +4 (-8, 3)
show your work by the way
this is for normal math class 9th grade.

The parameters of the exponential function in this problem are given as follows:

The standard format of an exponential function is given as follows:

y = c(1 - a)^t.

This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:

In this problem, the function is given as follows:

f(x) = 1.1(0.44)^x.

Hence the values for the parameters are given as follows:

Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.

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Answer:

the answer would be 2d/\2 - 2d

Step-by-step explanation:

I took the test and got it right

Answer:

Step-by-step explanation:

Answer: 5on x axis 2 on the y axis

Answer:

The answer would be (5,2)

:D Have a Great Day :D

Answer:

1: You need to provide more information for people to be able to answer your question.

2: Is this a question or a statement? Please clarify.

Step-by-step explanation:

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

The value that occurs in regression predictions when we perform the subtraction of (actual y-value) - (predicted y-value) is called the residual or the prediction error.

In regression analysis, the predicted y-value is based on the values of the independent variables and the regression equation. When we subtract the actual y-value from the predicted y-value, we get the residual or prediction error. The residual represents the difference between the observed value and the predicted value, indicating how well the regression model fits the data. A positive residual means that the observed value is higher than the predicted value, while a negative residual means the observed value is lower than the predicted value. The sum of squared residuals is used to measure the overall fit of the regression model, and minimizing this sum is the goal of regression analysis.

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Answer:

Her temperature was 99.5°

Step-by-step explanation:

103.2 - 3.7 = 99.5

Using the binomial distribution, it is found that there is a 0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect, which means that it is a highly likely event.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

The values of the parameters are given as follows:

n = 20, p = 0.05.

The probability that 3 or fewer experienced insomnia as a side effect is given by:

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

Hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585\)

\(P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774\)

\(P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887\)

\(P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596\)

Then:

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842\)

0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect.

Since this probability is greater than 95%, this is a highly likely event.

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The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.

a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:

Industry Average Salary = 96% of Firm B's Average Salary

= 0.96 * $58,000

= $55,680

b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:

Firm A's Average Salary = 93% of Industry Average Salary

= 0.93 * $55,680

= $51,718.40

c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:

Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100

= ($58,000 / $51,718.40) * 100

≈ 112.27%

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a)The high and low tides occur at when the value of cos function is an odd and even multiple of the π respectively.

b)The respective depths of the ocean at high tides and low tides will be 8 ft and 2 ft.

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Modeling the depth of the Atlantic Ocean at a channel buoy off the coast of Maine is;

\(\rm y = 5-3 cos (\frac{\pi}{6} t)\)

a) High tide's value of 'y' when the value of y is maximum. value of cosine is minimum.

The minimum value of cosθ  = 1.

The standard form to write the cos function is as;

θ=(2n+1)π

Whenever. high tides occur when it equals odd multiples of π. Similarly, at a Value of even multiples of even function, low tides are at their peak.

Hence,the high and low tides occur at when the value of cos function is an odd and even multiple of the π respectively.

At high tide;

соsӨ = - 1 (min value)

y= 5-3(-1)

y = 5+3

y=8 ft

At low tide,соsӨ = + 1 (max value)

y =5-3(1)

y= 5-3

y= 2

Hence,the respective depths of the ocean at high tides and low tides will be 8 ft and 2 ft.

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Answer:

tan 30 = x / 15

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = x

Adjacent Leg = 15

Step 2: Solve for x

Answer:

3rd one

Step-by-step explanation:

Recall that

Sin = opposite over hypotenuse

Cos = adjacent over hypotenuse

Tan = opposite over adjacent

For the angle with a measure of 30 degrees we are given it's adjacent side length and need to find it's opposite side length

When dealing with opposite and adjacent we use tangent

If tan = opposite over adjacent

Then tan30 = x / 15 and the correct answer choice is the third one

Answer:

  2∛3 units

Step-by-step explanation:

The volume is the cube of the edge length, so the edge length is the cube root of the volume:

  s = ∛V

  s = ∛24 = ∛(2³·3)

  s = 2∛3

The edge length is 2∛3 ≈ 2.8845 units.

Answer:

36 square inches.

Step-by-step explanation:

volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.

Answer:

D

Step-by-step explanation\Turn 6 into a fraction 6/1, and 2 2/3 into an improper fraction, 11/4 by multiplying two times the denominator and add the top number and keep the denominator from the begining. That will give you the 11/4. Then multiply across and you should be 16 1/2.

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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The line's equation in the form of a point-slope is y + 7 = 7 (x + 1).

A mathematical description of the steepness as well as the direction of a line is its slope, commonly referred to as its gradient. Despite the lack of obvious justification, the letter "m" is frequently used to represent slope. Though it is written as "y = mx + b" and "y = mx + c," respectively.

Slope:

slope = y2 - y1 / x2 - x1.

Slope halt the form:

y = mx + b.

Slope develop at a point.:

y - y1 = m ( x - x1) ( x - x1)

Common Form. Ax + By = C.

x - axis. the graph's horizontal axis.

y - axis. the graph's vertical axis.

intercept with X. the location where a line crosses the x axis at an angle.

intercepting at Y.

An equation for a line is denoted by the formula: y - y0 = m(x-x0), where m is the slope of the line and (x0, y0) is any point on the line.

Using the coordinates (-1, -7) and (1, 7), calculate the slope:

m = 7 + 7 / 1 + 1m = 7.

Substitute the slope and (-1, -7) in the formula to obtain:

y - (-7) = 7 (x-(-1))=> y + 7 = 7 (x+ 1)

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The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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Answer:

∫ cosec²(7-5x) dx =[-cot(7-5x)]/-5 +c

=(1/5)cot(7-5x)+c

note: d/dx(cotx)=- cosecx

The expected difference in the member's scores is 0, the standard deviation is 6.8, and P(Z>0.88) is 0.3788.

A continuous random variable's bell-shaped frequency distribution curve is known as the normal distribution. It refers to a symmetrical depiction of data around its mean value, where the standard deviation determines the width of the curve.

Given that mean is 20.9 and the standard deviation is 4.8.

A) The expected difference in the score of members is given by,

\(\begin{aligned}\text{Expected difference E[x-y]}&=E[x]-E[y]\\&=20.9-20.9\\&=0\end{aligned}\)

B) The standard deviation in the score of the members is given by,

\(\begin{aligned}\text{Standard deviation}\;\sigma&=\sqrt{\text{Var [x-y]}}\\&=\sqrt{4.8^2+4.8^2}\\&=\sqrt{46.08}\\&=6.8\end{aligned}\)

C) The probability that the difference in the two students' scores is greater than 6,

\(\begin{aligned}Z &= \pm\mathrm{\frac{(mean-x)}{SD}} \\&= \pm\frac{(0-6)}{6.8}\\& =\pm0.88 \end{aligned}\)

From the z-table,

\(\begin{aligned}P(Z < -0.88 \;\text{or}\;Z > 0.88)&=2\times P(Z > 0.88)\\&=2\times 0.1894\\&=0.3788\end{aligned}\)

The required answers are 0, 6.8, and 0.3788.

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Answer:

Step-by-step explanation:

center=(-1,1)

radius=√16=4

distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius

Hence point lies on the circle.

Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

To find the amount of wet food Luck mixed with the dry food, we can use the fact that he put 5/4 cups into each of the 4 bowls. Therefore, he used a total of 5/4 x 4 = 5 cups of wet food.

Thus, Luck mixed 3 cups of dry food and 5 cups of wet food to prepare the dog's meal.

Answer:

12x - 6y + 2

Step-by-step explanation:

Answer:

what is sin^3A=3sinA-4sin^3A

Answer:

y = -3x + 9

Step-by-step explanation:

pretty much the slope is what is in front of the x.
the slope is rise of run and since it goes down by 3 every time x goes up by 1, the slope is -3.

The +9 is just what y is equal to when x is 0

Answers:

864cm

Step-by-step explanation:

To reach his goal by loosing weight of 2 lbs per week he needs 15 weeks.

A function is a from of an mathematical equation where the dependent variable determines the value of the independent variable.

According to the given question

His current weight is 215 lbs his plan is to loose 2 lbs of weight per week.

To reach his goal of 185 lbs.

The function will be

185 = 215 - 2v                                              (here v represents no. of weeks)

2v = 215 - 185

2v = 30

v = 15

∴ He need 15 weeks to reach his goal.

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\(\dfrac 28 x + \dfrac 38 (x-1) = 4\\\\\implies \dfrac 18(2x + 3x -3) = 4\\\\\implies 5x -3 = 32\\\\\implies 5x = 32 +3 \\\\\implies 5x = 35\\\\\implies x = \dfrac{35}5\\\\\implies x = 7\)

Answer:

The value of x is 7.

Step-by-step explanation:

Question :

\({\implies{\sf{\dfrac{2}{8} x + \dfrac{3}{8}(x - 1) = 4}}}\)

Solution :

\({\implies{\sf{\dfrac{2}{8} x + \dfrac{3}{8}(x - 1) = 4}}}\)

\({\implies{\sf{\dfrac{2}{8} \times x + \dfrac{3}{8}(x - 1) = 4}}}\)

\({\implies{\sf{\dfrac{2 \times x}{8} + \dfrac{3(x - 1)}{8} = 4}}}\)

\({\implies{\sf{\dfrac{2x}{8} + \dfrac{3x - 3}{8} = 4}}}\)

\({\implies{\sf{\dfrac{2x + 3x - 3}{8} = 4}}}\)

\({\implies{\sf{\dfrac{5x - 3}{8} = 4}}}\)

\({\implies{\sf{{5x - 3} = 4 \times 8}}}\)

\({\implies{\sf{{5x - 3} =32}}}\)

\({\implies{\sf{5x = 32 + 3}}}\)

\({\implies{\sf{5x = 35}}}\)

\({\implies{\sf{x = 35 \div 5}}}\)

\({\implies{\sf{x = \dfrac{35}{5}}}}\)

\({\implies{\sf{x = \cancel{\dfrac{35}{5}}}}}\)

\({\implies{\sf{x = 7}}}\)

\(\star{\underline{\boxed{\sf{\pink{x = 7}}}}}\)

Hence, the value of x is 7.

\(\rule{300}{1.5}\)

Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).

Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).