Which equation represents a line that is parallel to the line y = -2/3x + 5? Pls Hurry :/

Answer: 66.66.....% (6 recurring) / 66.67%

Step-by-step explanation: To get the percent form of this, you'll need to turn this into a fraction, which would be 18/27, then you can simplify it to 2/3 and convert it to a percent which would be 66.66..... .

The values of y respective to x values are when x = -2 then y = 12 when x = 0 then y = 2 when x = 2 then y = -8, & when x = 4 then y = -18.

What is a function rule?

The equation-based relationship between the dependent and independent variables is known as a function rule. In simple words, a function is an association between inputs in which each input is connected to precisely one output.

Given,  y = -5x + 2

when x= -2, y = (-5)* (-2) + 2 = 10 + 2 = 12, y = 12

when x= 0, y = (-5)* (0) + 2 = 0 + 2 = 2, y = 2

when x= 2, y = (-5)* (2) + 2 = -10 + 2 = -8, y = -8

when x= 4, y = (-5)* (4) + 2 = -20 + 2 = -18, y = -18

Hence, these are the required values of y to the respective input value of x.

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Answer:

The least coomon denominator is 12, so

9/12 and 10/12

He should invest $86.29 in the account now, which has a 7% interest compounded monthly.

Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:

B = P(1 + r/n)^t

where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded monthly, and t is the time in number of months

Based on the given information, P is the unknown and

B = $5000

t = 5 years = 60 months

r = 7% = 0.07

n = 1

Plug in the values and solve for P or the amount that should be invested today.

B = P(1 + r/n)^t

$5000 = P(1 + 0.07/1)^60

$5000 = P(1.07)^60

P = $5000/(1.07)^60

P = $86.29

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The confidence interval for the population mean with 99% confidence interval is (6.90;8.50).

A confidence interval is a set of values that, with a particular level of certainty, includes a population value. When a population mean is between an upper and lower interval, it is frequently stated as a percentage.

The population mean is mean [tex]\bar{x}[/tex]=7.3.

The sample's standard deviation is 2. 9

Number of samples: 42

The range of possibilities for the mean, [tex]\bar{x}[/tex]

The confidence interval for the mean is

[tex]\bar{x}[/tex] ± (σ/√n)

To calculate the critical value, we must first determine the degrees of freedom, which are given by:

df=n-1

df=42-1

df=41.

Since the confidence level is 0.99 or 99%, the values of and can be used to calculate the critical value using Excel, a calculator, or a table is 2.701

7.3-2.701(2.9/√42)=6.9013

7.3+2.701(2.9/√42)=8.5086

The 99% confidence interval in this instance would therefore be provided by (6.90;8.50).

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The probability that b will occur given that a has occurred is 2/5 as the probability of a is 0.45 and the probability of the intersection of a and b is 0.15.

It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 12. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

P(A)=0.45

P(A∩B)=0.15

P(A∪B)=1

P(B)=1-(0.45+0.15)

=1-0.60

=0.4

=2/5

With a probability of 0.45 and a and b's intersection having a 0.15 probability each, the likelihood that b will happen given that a has happened is 2/5.

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Using the concepts of probability, we got that 0.4286 is the probability  that the battery life for an iPad Mini will be 10 hours or less  which is about 42.86%.

From the given information;

Let  X represent the continuous random variable with uniform distribution U (A, B) . Therefore the probability density function can now be determined as :

[tex]f_X(x)[/tex] = [tex]\frac{1}{B-A}[/tex] where A<x<B

where A and B  are the two parameters of the uniform distribution

From the question;

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours

So; Let A = 8,5 and B = 12

Therefore; the mathematical expression for the probability density function of battery life is :

[tex]f_X(x)[/tex] = [1 / (12-8.5)]8.5<x<12

[tex]f_X(x)=[/tex](1/3.5)8.5<x<12

The  probability that the battery life for an iPad Mini will be 10 hours or less can be calculated as:

F(x) = P(X ≤x)

F(10)=[tex](x-A)/(B-A)[/tex]

F(10)=(10-8.5)/(12-8.5)

F(10)=1.5/3.5

F(10)=0.4286

Hence, the probability that the battery life for an iPad Mini will be 10 hours or less is 0.4286

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(Complete question)

In October of 2012, Apple introduced a much smaller variant of the Apple iPad, known at the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of 10.25 hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

The percentage of men who didn't expect to meet the height requirements be 96.29%

Given, that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches.

Find the percentage of men who meet the height requirements.

z(64) = (64-69)/2.8 = 1.7857

z(78) = (78-69)/2.8 = 3.2143

P(64 <= x <= 78) = P(1.78457<= z <=3.2143) = 0.0371 = 3.71%

So, the percentage of men who meet the height requirements be 3.71%

Now, the percentage men who didn't expect to meet the height requirements be

100 - 3.71 = 96.29%

Hence, the percentage of men who didn't expect to meet the height requirements be

96.29%

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Answer:

x = -1

Step-by-step explanation:

8 - 3x - 12 = 2x + 1

-3x - 4 = 2x + 1

-5 = 5x

x = -1

The value of x in the equation 8-3(x+4)=2x+1 is -1.

Given equation 8-3(x+4)=2x+1

= 8-3x-12 = 2x+1

= -3x-4 = 2x+1

= -5x = 5

= x = -1

We will first solve the bracket which is -3(x+4) which will give us -3x-12 and then we will add this to 8 which will give us -3x-4. Next, we will move all the constants to one side and the terms with x to one side which will give us -5x=5. Finally, we will divide the whole equation by -5 and we will get the answer of x as -1.

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Answer:

16.97

Step-by-step explanation:

The solution of  | x | +5 ≤ 1 is  option C, All values are solutions

We need to find the solution of  | x | +5 ≤ 1

Upon removing the modulus function, the term presnet within it can be either negative or positive

considering it as postive

| x | +5 ≤ 1

x + 5 ≤ 1

x ≤ 1 - 5

x ≤ -4

considering it as negative

| x | +5 ≤ 1

-x + 5 ≤ 1

-x ≤ 1 - 5

-x ≤ -4

x ≥ -4

Therefore, the solution of  | x | +5 ≤ 1 is  All values are solutions

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An illustration of "Cluster sampling" is the practice of selecting a random sample of the city's gas stations, and then surveying every station's patrons.

As per the given question.

Thus, an implementation of "Cluster sampling" is the practice of randomizing sample of the city's gas stations, and thereafter surveying every station's patrons.

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The equation of the line in the slope-intercept form will be y = (3/4)x + 13/4.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The points are given below.

(1, −4) and (5, −1)

The equation of the line that passes through (1, −4) and (5, −1) will be given as,

(y + 4) = [(−1 + 4) / (5 − 1)](x − 1)

y + 4 = (3/4)x − 3/4

y = (3/4)x + 13/4

The equation of the line in the slope-intercept form will be y = (3/4)x + 13/4.

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Answer:

Using formula to calculate the circumference of wheel: c=d/n

where

D is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

As per the statement:

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

then by definition:

meter c=100/55=20/11

Therefore, the circumference of her wheel is 1 9/11

The rule that represents the transformation is g(x) = -6x⁵ + 3x³ + 3x² + 11

The equation of the function is given as

f(x) = 2x⁵ - x³ + x² + 4

The sequence of transformations is given as follows:

When the above transformations are combined, we have:

g(x) = 3f(-x) - 1

So, we have

3f(-x) - 1 = 3[2(-x)⁵ - (-x)³ + (-x)² + 4] - 1

This gives

3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 12 - 1

Expand

3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 11

So, we have

g(x) = -6x⁵ + 3x³ + 3x² + 11

Hence, the function is g(x) = -6x⁵ + 3x³ + 3x² + 11

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If LR equals 12 and PR equals 4, then: LP = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.

The Segment Addition Postulate states that when there are two endpoints on a line segment (L) and (C), a third point (P) would lie on the line segment (LR), if and only if the magnitude of the distances between the endpoints satisfy the requirements of this equation LP + PR = LR.

This ultimately implies that, the Segment Addition Postulate is only applicable on a line segment that contains three collinear points.

By applying the Segment Addition Postulate to the given endpoints, the value of LP is given by:

LP + PR = LR

LP = LR - PR

Substituting the given parameters into the formula, we have;

LP = 12 - 4

LP = 8.

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Complete Question:

Larissa is standing at point L. Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explain

LP = 16 because 12 + 4 = 16 according to the addition property of equality.

LP = 8 because 12 - 4 = 8 according to the subtraction property of equality.

PR = 16 because LR + LP = PR according to the Segment Addition Postulate, and 12 + 4 = 16 using substitution.

PR = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.

Answer: Lp = 8

Step-by-step explanation:

Got it right

a. Timothy is correct regarding the dilation, considering the vertices of each triangle.

b. The two triangles are similar, as they have congruent angle measures.

A dilation occurs when each of the vertices of a polygon is multiplied by a constant, which is called scale factor.

The effects of a dilation are given as follows:

The vertices of each triangle in this problem are given as follows:

The scale factor is obtained by the division of any of the equivalent factors, hence:

k = 4.5/3 = 1.5.

Confirming that Timothy's statement regarding the scale factor of the dilation is correct.

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Answer: Nice

Step-by-step explanation:

Another possible values for a and b are a = 12 and b = 4

A variation is a relation between a set of values of one variable and a set of values of other variables

Given that:  a is inversely related to the square of b, and a = 3 when bis

8.

This can be written as:

a α 1/b²

a = k/b²               (where k is  a constant)

k = ab²

since a = 3 and b = 8.

Thus, k = 3 × 8² = 3 × 64 = 192

For a value to be another possible value for a and b, they must give k = 192 when substituted into the equation k = ab²:

a = 4, b = 12: k = 4 × 12² = 576

a = 12, b = 4: k =  12 × 4² = 192

a = 8, b = 3:  k =  8 × 3² = 72

a = 2, b = 4: k =  2 × 4² = 32

a = 6, b = 4: k =  6 × 4² = 96

The values that produce k = 192 are a = 12 and b = 4. Therefore, another possible value for a and b is a = 12 and b = 4. So option B is the answer

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Answer:

Cone

Step-by-step explanation:

The Angles are all triangle-shaped, but the bottom is circle-shaped.

The first five terms of the arithmetic sequence with the formula a(n) = a(n - 1) - 5 is; -5, -10, -15. -20, -25

The general formula for an arithmetic sequence is;

aₙ = a + (n - 1)d

where;

a is first term

d is common difference

aₙ is the nth term of the sequence

Now we are given the formula for the nth term of a sequence as;

a(n) = a(n - 1) - 5

Thus;

1) First term is when n = 1;

a(1) = a(1 - 1) - 5

a(1) = -5

2) Second term is when n = 2;

a(2) = -5(2 - 1) - 5

a(2) = -5 - 5

a(2) = -10

3) Third term is when n = 3;

a(3) = -5(3 - 1) - 5

a(3) = -15

4) Fourth term is when n = 4;

a(4) = -5(4 - 1) - 5

a(4) = -20

5) Fifth term is when n = 5;

a(5) = -5(5 - 1) - 5

a(5) = -25

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Complete question is;

Write the first five terms sequence defined by a(n) = a(n - 1) - 5

Answer:h

Step-by-step explanation:

ihlug

The inequality expression of the volume of the balloon is V < 4,400

From the question, we have the following statement:

The initial volume of the balloon is 4,400 cubic centimeters

Also, we understand that:

The balloon leaks out over time

This means that the volume of air in the balloon decreases over time.

So, we have the following representation

V = Less than the initial volume

Rewrite as

V < 4400

Hence, the volume of the balloon at any time after it starts leaking is V < 4,400

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By using the concept of equation of line in slope intercept form, it can be obtained that

a)  x- intercept is 5

  This means, Priya has exhausted all her money by buying 5 comics

   y- intercept is 20

   This means, Priya had $20 before buying any comics

b) Slope = -4

   This means Priya's money has been decreasing by $4 after buying        one comics    

c)  Equation of line

     y = -4x + 20

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex]  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan \theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

x represents the number of comic books Priya buys at the store

y represents the amount of money (in dollars) Priya has after buying the comic books.

a)From the figure, it is clear that x- intercept is 5

  This means, Priya has exhausted all her money by buying 5 comics

   From the figure, it is clear that y- intercept is 20

   This means, Priya had $20 before buying any comics

b) The line passes through (5, 0) and (0, 20)

    Slope = [tex]\frac{20 - 0}{0 -5}[/tex] = -4

     This means Priya's money has been decreasing by $4 after buying

    one comics

c) Equation of line

   y - 0 = -4(x - 5)

   y = -4x + 20

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Complete Question

The figure has been attached-

Answer:

6.4

Step-by-step explanation:

I guessed and got it right.

Answer:

  2.4

Step-by-step explanation:

You want the average rate of change on the interval [-9, -4] for the graphed function.

The average rate of change (m) is the slope of the line between the points at the ends of the interval. For function f(x) on interval [a, b], this is ...

  m = (f(b) -f(a))/(b -a)

For the function f(x) on the interval [-9, -4], the average rate of change is ...

  m = (f(-4) -f(-9))/(-4 -(-9)) = (-4 -(-16))/5 = 12/5 = 2.4

The average rate of change of f(x) on [-9, -4] is 2.4.

The length (in cm) of the hypotenuse is 17 cm.

According to Pythagoras' theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

H² = P² + B²

Let the hypotenuse = H

Shortest side = B

Third side = P

So, according to the question

H = 2B +1    ..... (1)

P = 2B -1     ..... (2)

Use Pythagoras' theorem,

H² = P² + B²

(2B+1)² = (2B-1)² + B²

4B² + 1 + 4B = 4B² + 1 - 4B + B²

4B = - 4B +B²

B² =-8B

B = - 8

But the length cannot be negative, so B = 8 cm

The length of the shortest side = 8 cm

So the hypotenuse will be

H = 2B + 1

= 2(8) + 1

= 17 cm

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With a net change of +0.72 yesterday's closing price was 19.81 and stock dividend yield for yesterday's closing price is 7.2%.

How to calculate the Dividend Yield?

To calculate dividend yield, all you have to do is divide the annual dividends paid per share by the price per share.

Dividend Yield = Annual Dividends Paid Per Share / Price Per Share

According to the given question:

Net change = today's price - yesterday's price

0.72 = 19.09 - yesterday's price

∴ Yesterday's price = 19.81

Stock dividend yield

= (1.43/19.81) x 100

= 7.2%

Therefore the stock yield of yesterday's closing price is 7.2%

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If 700% of a number is 1540, then the number is 220

The given percentage = 700%

The percentage of a number is defined as the ratio that can be expressed as the fraction of 100.

Consider the number as x

Here the 700% of the number is 1540

Then the equation will become

x × 700% = 1540

Solve the equation and find the value of x

x × (700/100) = 1540

Divide the terms first

x × 7 = 1540

Move the 7 to the right hand side of the equation

x = 1540/7

Divide the terms

x = 220

Hence, if 700% of a number is 1540, then the number is 220

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Answer: 3150

Step-by-step explanation:

We know that 50×2%s is 100%, so 50×63 should result in the total amount of throws she attempts, which is 3150.