Which equation is perpendicular to y-3=4(x+5) and passes through 4,-3)?
Ay= -1/4X-2
C. Y= 4X-2
B. Y= -1/4x+4
D. Y= 4x+4 Ο Α .​

Answer:

30x7 = 210

Step-by-step explanation:

I 5j3yn63j63n747k

Answer:

$69

Step-by-step explanation:

23 + 23+23 = $69

Answer:

x≥7

Step-by-step explanation:

mark me brainliest please

Answer:

event

An event can be described as an individual or set of outcomes of an experiment.

Events are a subset of the experiment's sample space.

The sample space of an experiment is the complete set of possible outcomes of that experiment.

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

learn more about product of vectors: https://brainly.com/question/30394406

#SPJ1

The representations of the inequality is  an open circle is at 1 and a bold line starts at 1 and is pointing to the right.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Since our answer is x > 1.  An open circle will be at 1 and a bold line starts at 1 and is pointing to the right (>). Check the attached image.

Note: You only shade up if you have ≤ (less than or equal) or ≥ (greater than or equal).

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

For the given question options C, D and E are correct answers.

Given that, ∠2, ∠3, and ∠5 are interior angles of the triangle and ∠1, ∠4, and ∠6 are exterior angles of the triangle.

When any side of a triangle is extended, the angle that is formed with this side and its adjacent side is called the exterior angle of a triangle. There are three exterior angles in a triangle. It should be noted that each exterior angle forms a linear pair with its corresponding interior angle.

Now, m∠5 + m∠6=180° (Adjacent angles are added up to 180°)

m∠2 + m∠3 = m∠6 (Exterior angle is equal to the sum of opposite interior angles)

m∠2 + m∠3 + m∠5 = 180° (Sum of all the interior angles of a triangle is equal to 180°)

Therefore, options C, D and E are correct answers.

To learn more about the exterior angles visit:

https://brainly.com/question/11379452.

#SPJ1

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

For more such questions on Payment,click on

https://brainly.com/question/25793394

#SPJ8

The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

Answer:

C.

Step-by-step explanation:

because x value cannot be repeated in an ordered pair

a. The population density of Monaco is 19,307 people per square kilometer.

b. The population density of Vatican City is 37 people per square kilometer.

c. The Vatican City has the highest population density

What is population density?

Population density is measured by dividing the total area of a region in question by the total number of people that live there.

a. To find the population density of Monaco, we need to divide the population by the area, and then convert acres to square kilometers (since Vatican City's area is given in square kilometers).

499 acres x 0.00404686 square kilometers/acre = 2.02 square kilometers

The population density of Monaco is therefore:

39,000 people / 2.02 square kilometers = 19,307 people per square kilometer.

Rounded to the nearest whole number, the population density of Monaco is 19,307 people per square kilometer.

b. To find the population density of Vatican City, we first need to convert its area to acres:

0.44 square kilometers x 247.105 acres/square kilometer = 108.7 acres

The population density of Vatican City is then:

1,000 people / 108.7 acres = 9.2 people per acre

To compare with Monaco's population density, we need to convert this to people per square kilometer:

9.2 people per acre x 0.00404686 square kilometers/acre = 37.3 people per square kilometer

Rounded to the nearest whole number, the population density of Vatican City is 37 people per square kilometer.

c. Therefore, Vatican City has the highest population density, with a density of 37 people per square kilometer compared to Monaco's density of 19,307 people per square kilometer.

To know more about population density visit,

https://brainly.com/question/13902749

#SPJ1

Therefore, the new coordinates for Trapezoid JKLM after a 180° rotation are:

J(-6, 1.5)

K(-2.5, 4.5)

L(-4.5, 5)

M(-4, 0)

A triangle is a geometric shape that has three straight sides and three angles. It is one of the basic shapes in geometry and is defined by its three vertices, or corner points, and the three line segments that connect them, which are called sides. The sum of the angles in a triangle is always 180 degrees, and there are many different types of triangles, including equilateral, isosceles, and scalene triangles. Triangles are used in a wide range of applications, from architecture and engineering to art and design.

Here,

Since you have specified that the Trapezoid JKLM is the image of Triangle XYZ under a 180° rotation, we can use the formulas for rotating points to find its new coordinates.

Assuming that Trapezoid JKLM is formed from the segments that connect the midpoints of the sides of Triangle XYZ, we can find its vertices using the following steps:

Find the midpoints of the sides of Triangle XYZ:

Midpoint of XY: ((4+8)/2, (-1-2)/2) = (6, -1.5)

Midpoint of XZ: ((4+1)/2, (-1-8)/2) = (2.5, -4.5)

Midpoint of YZ: ((8+1)/2, (-2-8)/2) = (4.5, -5)

Rotate the midpoints 180° counterclockwise about the origin to find the new coordinates of Trapezoid JKLM:

Vertex J: (-6, 1.5)

Vertex K: (-2.5, 4.5)

Vertex L: (-4.5, 5)

Vertex M: (-4, 0)

To know more about triangle,

https://brainly.com/question/28600396

#SPJ1

Answer: d.12

Step-by-step explanation:

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

For more such questions on future value

https://brainly.com/question/24703884

#SPJ8

The table is shown below:

x   0     5     8      10    30  

y 150  125  110   100   0

The altitude after 5 minutes is 125 feet and the altitude after 30 minutes is 0 feet

Part A :

To create a table for values when x=0, 5 , 8, 10, 30 substitute the values into the given equation y = -5x + 150

x= 0, y = -5(0) + 150 = 150

x=5, y = -5(5) + 150 = 125

x = 8, y = -5(8) + 150 = 110

x = 10, y = -5(10) + 150 = 100

x = 30, y = -5(30) + 150 = 0

x   0     5     8      10    30  

y 150  125  110   100   0

Part B:

altitude after 5 minutes is 125 feet

altitude after 30 minutes is 0 feet

The altitude after 5 minutes represent the altitude of the plane 5 minutes during descending.

The altitude after 30 minutes represent the altitude of the plane when descending is complete.

What is happening to the airplane at these time intervals is that the plane of the plane is reducing until it finally landed.

Learn more about equation on:

brainly.com/question/29330381

#SPJ1

Answer:

a) Standard Error of the mean = $980

b) Probability that the sample mean will be more than $25,050 = 0.50

c) Probability that the sample mean will be within $1,250 of the population mean = 0.7995

d) Probability that the sample mean will be within $1,250 of the population mean if the sample size is increased to 200 = 0.9692

Step-by-step explanation:

Complete Question

According to U.S. News & World Report's publication America's Best Colleges, the average cost to attend the University of Southern California (USC) after deducting grants based on need is $25,050. Assume the population standard deviation is $8,200 . Suppose that a random sample of 70 USC students will be taken from this population. Use z-table.

a. What is the value of the standard error of the mean? (to nearest whole number)

b. What is the probability that the sample mean will be more than $25,050 ? (to 2 decimals)

c. What is the probability that the sample mean will be within $1,250 of the population mean? (to 4 decimals)

d. How would the probability in part (c) change if the sample size were increased to 200 ? (to 4 decimals)

Solution

According to the Central limit theorem, for a normally distributed distribution where a random sample of large enough sample size with each variable independent of one another, the mean of the sampling distribution is approximately equal to the population mean and the standard deviation of the sampling distribution or the standard error of the mean (σₓ) is given as

σₓ = (σ/√n)

where σ = population standard deviation = $8,200

n = sample size = 70

Mean of sampling distribution (μₓ) = Population mean (μ) = $25,050

a) Standard Error of the mean = σₓ

= (8200/√70) = 980.09 = $980 to nearest whole number

b) Probability that the sample mean will be more than $25,050 = P(x > 25050)

We first normalize or standardize $25;050

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μₓ)/σₓ = (25050 - 25050)/980 = 0

To determine the required probability 45mg/L, P(x > 25050) = P(z > 0)

We'll use data from the normal probability table for these probabilities

P(x > 25050) = P(z > 0) = 1 - P(z ≤ 0) = 1 - 0.50 = 0.50

c) The probability that the sample mean will be within $1,250 of the population mean

(mean of sampling distribution) + 1250 = 25050 + 1250 = $26,300

(mean of sampling distribution) - 1250 = 25050 - 1250 = $23,800

Probability that the sample mean will be within $1,250 of the population mean

= P(23800 ≤ x ≤ 26300)

We first normalize $23,800 and $26,300

For $23,800

z = (x - μₓ)/σₓ = (23800 - 25050)/980 = -1.28

For $26,300

z = (x - μₓ)/σₓ = (26300 - 25050)/980 = 1.28

The required probability

P(23800 ≤ x ≤ 26300) = P(-1.28 ≤ x ≤ 1.28)

We'll use data from the normal distribution table for these probabilities

P(23800 ≤ x ≤ 26300) = P(-1.28 ≤ x ≤ 1.28)

= P(z ≤ 1.28) - P(z ≤ -1.28)

= 0.89973 - 0.10027

= 0.79946 = 0.7995 to 4 d.p

d) How would the probability in part (c) change if the sample size were increased to 200?

If the sample size increase to 200, the standard deviation of the sampling distribution or standard error of the mean changes to

σₓ = (σ/√n)

where σ = population standard deviation = $8,200

n = sample size = 200

Standard Error of the mean = σₓ

= (8200/√200) = 579.83 = $580 to nearest whole number

Probability that the sample mean will be within $1,250 of the population mean

= P(23800 ≤ x ≤ 26300)

We first normalize $23,800 and $26,300

For $23,800

z = (x - μₓ)/σₓ = (23800 - 25050)/580 = -2.16

For $26,300

z = (x - μₓ)/σₓ = (26300 - 25050)/980 = 2.16

The required probability

P(23800 ≤ x ≤ 26300) = P(-2.16 ≤ x ≤ 2.16)

We'll use data from the normal distribution table for these probabilities

P(23800 ≤ x ≤ 26300) = P(-2.16 ≤ x ≤ 2.16)

= P(z ≤ 2.16) - P(z ≤ -2.16)

= 0.98461 - 0.01539

= 0.96922 = 0.9692 to 4 d.p

Hope this Helps!!!

ANSWER:

D.

STEP-BY-STEP EXPLANATION:

In this case, we have the following:

3 quarters, 2 dimes, 3 nickels, and 1 penny.

Let Q, quarters

Let D, dimes

Let N, nickels

Let P, penny

Now,

Since there is only 1 penny, it cannot go out twice.

But in the case of Q, D and N, if they can come out twice, there are more than one.

Then you could choose one of each, just like this:

QD

QN

QP

DN

DP

NP

Therfore, the option that includes all those options is the last option D.

To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

For such more question on formula

https://brainly.com/question/29797709

#SPJ8

A) the z-critical value associated with a 99% confidence interval is 2.58. B) the z-critical value associated with a 95% confidence interval is 1.96. C) the z-critical value associated with a 90% confidence interval is 1.64. D)  the z-critical value associated with an 80% confidence interval is 1.28.

The z-critical value (or the critical z-value) is the number of standard deviations from the mean that corresponds to a given level of significance in a two-tailed z-test. It is used in statistical hypothesis testing to determine whether to reject or fail to reject the null hypothesis.

A) For a 99% confidence interval, the area in each tail is (1-0.99)/2 = 0.005. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 2.58

Therefore, the z-critical value associated with a 99% confidence interval is 2.58.

B) For a 95% confidence interval, the area in each tail is (1-0.95)/2 = 0.025. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 1.96

Therefore, the z-critical value associated with a 95% confidence interval is 1.96.

C) For a 90% confidence interval, the area in each tail is (1-0.90)/2 = 0.05. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 1.64

Therefore, the z-critical value associated with a 90% confidence interval is 1.64.

D) For an 80% confidence interval, the area in each tail is (1-0.80)/2 = 0.10. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:

z-critical value = 1.28

Therefore, the z-critical value associated with an 80% confidence interval is 1.28.

To know more about area visit:

https://brainly.com/question/30612393

#SPJ1

Answer:

35.770

Step-by-step explanation:

If the number behind the hundreths place is bigger than the hundreths place then you round up 1

Answer:the answer is 35.769 to the nearest hundredth is 35.77

Step-by-step explanation:

Answer:

158,400

Step-by-step explanation:

Answer:

Given function:

a)

Find x when p(t) = 200:

b)

Find p(t) when t = 4:

Answer:

3.25 years (nearest hundredth)

Step-by-step explanation:

Compound Interest Formula

\(\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}\)

where:

Given:

Substitute the given values into the formula and solve for t:

\(\implies \sf 4916=4000\left(1+\frac{0.064}{4}\right)^{4t}\)

\(\implies \sf 4916=4000\left(1.016\right)^{4t}\)

\(\implies \sf \dfrac{4916}{4000}=\left(1.016\right)^{4t}\)

\(\implies \sf \dfrac{1229}{1000}=\left(1.016\right)^{4t}\)

\(\implies \sf \ln \left(\dfrac{1229}{1000}\right)=\ln \left(1.016\right)^{4t}\)

\(\implies \sf \ln \left(\dfrac{1229}{1000}\right)=4t \ln \left(1.016\right)\)

\(\implies \sf t=\dfrac{\ln \left(\frac{1229}{1000}\right)}{4\ln \left(1.016\right)}\)

\(\implies \sf t=3.247594892...\)

Therefore, it will take 3.25 years (nearest hundredth) for the account to grow to $4916.

Learn more about compound interest here:

https://brainly.com/question/27747709

https://brainly.com/question/27806277

Answer:

9 is a positive number and -10 is negative. Positive numbers are bigger than negative numbers so yes 9 is bigger than -10

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

here is how the numbers appear numerically

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Answer:

3 batches of soup

Step-by-step explanation:

10-2.8=7.2

7.2/2 2/5=3

Answer: 12u-4-4u=76

Step-by-step explanation: Use distributive property and PEMDAS, that might help.

The solution to the equation 3x = 8 - 2x is x = 1.6.

To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:

Express the equation in the form of y = f(x). Rearrange the equation:

3x + 2x = 8

5x = 8

x = 8/5 or 1.6

Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.

Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.

The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).

Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.

for such more question on equation

https://brainly.com/question/27870704

#SPJ8

Answer:

It's C

Step-by-step explanation:

because 1.04 is closest to 1