X= m (type an interface or a decimal round to the nearest tenth)

Answer:

a = 65

b = 73

c = 17

d = 138

Step-by-step explanation:

d + 42 = 180

d = 138

c + d + 90 + 115 = 360

c + 138 + 205 = 360

c + 343 = 360

c = 17

90 + b + c = 180

90 + b + 17 = 180

b + 107 = 180

b = 73

a + b + 42 = 180

a + 73 + 42 = 180

a + 115 = 180

a = 65

Answer:

a is 65

b is 73

c is 17

d is 138

Data Input

P = 7000

r = 4.6%

t = 10 years

Procedure

The population after 10 years can be found by

where

P is the population after 10 years

t is the times

r is the rate of interest

Po is the initial population

The population would be 10975

Answer:

Im pretty sure it's two and twenty six thousandths

Answer:

Two and twenty six tenths

The account increases in value by 1% every quarter, which is equivalent to 1/4% every month.

Savings interest is calculated on a daily basis and deposited into the account on the first day of the next quarter. The interest rate will depend on the balance in the account. Now it's between 3% and 3.5%.

To find the increase in value for an account with an APR of 4% and quarterly compounding, we'll first need to convert the APR to a quarterly interest rate.
1. Divide the APR by the number of compounding periods in a year: 4% / 4 = 1%.
2. The account increases in value by 1% every quarter.

Your answer: a. 1%

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Answer:

-18 + x = 11

x = 29

Step-by-step explanation:

To solve this, you can use the formula of a + b = c

\(-18 + x = 11\\-18 = 18\\11 + 18 = 29\\x = 29\)

Answer:

29

Step-by-step explanation:

Your equation can be -18+x=11. Since we don't know the number, we can use x. We are trying to find out a number that when it's added to -18, the answer will be 11.

Now, we solve the equation:

-18+x=11

x=11+18

x=29. Answer

To check this answer:

we can use our equation and substitute 29 for x.

-18+x=11

-18+(29)=11

11=11.

They are equal. Therfore, the answer is correct.

The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b)

This is incomplete question

Complete question is this:

With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?

Choose the correct option:

Now, According to the question:

Hence, The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b).

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Answer:

y - 3 = -(x + 1)

y - 3 = -x - 1

y = -x + 2

Answer:

Pick options, 1,2,3,4 but DO NOT select option 5!!!

Step-by-step explanation:

The basic equation is y=mx+b where slope is m and b is the y intercept.

So our y intercept for this equation is 2. The line has a negative slope bc as increases, y decreases. (The line is pointing down.) Those are two good clues to start.

Let's calc the slope. slope = rise/run = (y2-y1)/(x2-x1)

(-1,3) and (1,1) are shown on the graph

slope = (3-1)/(-1-1)

= 2/-2 = -1

Slope = -1

Our equation is now y=-x+2

So let's find everything that equals y=-x+2

y-3 = -x-1 is the same as

y = -x+2

So pick the first option, y-3 = -x-1

(y+1) = -(x-3)

y+1 = -x+3

y=-x+2

So pick the 2nd option, (y+1) = -(x-3)

(y-3) = -(x+1)

y-3 = -x-1

y=-x-1+3

y=-x+2

So pick the 3rd option, (y-3) = -(x+1)

We already know to pick the 4th option, y=-x+2

(y-3) = (x-1)

y= x-1+3

y=x-2

DON'T PICK THE 5th option, because this has the wrong slope and wrong intercept!

Answer:

A. One point greater than the last test grade.

Step-by-step explanation:

One point greater than the last test grade can be written as an expression:n + 1

The difference of Gina’s score and one can be written as an expression:

n - 1

The total cost less one dollar can be written as an expression: n - 1

One minute less than Mickey’s previous time can be written as an expression: n - 1

Answer:

Step-by-step explanation:

its A

Answer:

C

Step-by-step explanation:

It would equal -9

The mean absolute deviation of the set {12, 4, 6, 12, 10, 8, 4, 4} is 2.75.

The mean of the set is 7.

In statistics, the mean (also called the arithmetic mean or average) is a measure of central tendency that represents the typical or central value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values in the set.

The mean absolute deviation (MAD) is a measure of dispersion that describes how to spread out a set of data from its mean (average). It is the average of the absolute differences between each data point and the mean of the set. The formula for calculating the MAD is:

MAD = (Σ|xi - mean|) / n

where xi is each data point in the set, mean is the mean of the set, |xi - mean| is the absolute difference between each data point and the mean, and n is the total number of data points.

For finding the mean absolute deviation of a set of numbers, we first need to find the mean (average) of the set, and then calculate the absolute value of the difference between each number in the set and the mean. Finally, you take the average of these absolute differences to get the mean absolute deviation.

Here are the steps to find the mean absolute deviation of the set {12, 4, 6, 12, 10, 8, 4, 4}:

mean = (12 + 4 + 6 + 12 + 10 + 8 + 4 + 4) / 8 = 7

Calculate the absolute value of the difference between each number and the mean:

|12 - 7| = 5

|4 - 7| = 3

|6 - 7| = 1

|12 - 7| = 5

|10 - 7| = 3

|8 - 7| = 1

|4 - 7| = 3

|4 - 7| = 3

mean absolute deviation = (5 + 3 + 1 + 5 + 3 + 1 + 3 + 3) / 8 = 2.75

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Answer:

3/2x

Step-by-step explanation:

-2y = -3x+18

y = 3/2x-9

Answer:

Slope: \(\frac{3}{2}\)

Step-by-step explanation:

3x - 2y = 18

-2y = -3x + 18

y = \(\frac{3}{2}\)x - 9

Slope = \(\frac{3}{2}\)

It is expected the height of the melted wax in this shape is 9.57 inches, this height would make the volume remain constant.

The volume of a sphere can be calculated using the formula V = 4/3 πr³. Let's use this formula to calculate the volume of the spherical ball of wax:

Considering the volume should be the same  (2144.66 cubic inches) and the volume of this shape can be calculated by multiplying the sides, this would be the equation:

This means the height would be 9.57 inches.

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The polar curve equation of r = 72 sin θ represents a with an inner loop touching the pole at θ = π/2 and an outer loop having the pole at θ = 3π/2.

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Answer:

$35.75

Step-by-step explanation:

35%=35/100

35/100x55=19.25

55-19.25=35.75

At the value of x = \(-\sqrt{2}\) only f has a relative maximum. So option B is correct.

To find the relative maximum of a function, we need to look for the values of x where the derivative of the function is zero or does not exist. Therefore, we need to find the derivative of the function f(x) first.

\(f(x) = e^{(-x)} * (x^2 + 2x)\)

\(f'(x) = e^{(-x)} * (2 - x^2)\)

To find the critical points of f(x), we need to solve the equation f'(x) = 0.

\(e^{(-x)} * (2 - x^2) = 0\)

This equation is satisfied when \(2 - x^2 = 0\) or \(e^{(-x)} = 0\).

The equation \(2 - x^2 = 0\) has two solutions: \(x = -\sqrt{2}\) and \(x = \sqrt{2}\).

The equation \(e^{(-x)} = 0\) has no solutions.

Now, we need to determine whether each critical point is a relative maximum or a relative minimum. We can use the second derivative test for this.

\(f''(x) = e^{(-x)} * (x^2 - 4)\)

At x = \(-\sqrt{2}\), \(f''(- \sqrt{2}) < 0\), so f has a relative maximum at \(x = -\sqrt{2}\).

At x = \(\sqrt{2}\), \(f''(\sqrt{2}) > 0\), so f has a relative minimum at \(x = \sqrt{2}\).

Therefore, the answer is B)  x=−√2 only.

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Answer:

x = 0.37686455

Step-by-step explanation:

Answer: x≈0.37686455

Step-by-step explanation:

Answer:

12 X=2.2

13. y = 6.4

14. m= 8.5

15. z=9.9

16. n= 18.4

17. X= 5.8

Answer:

X = 10

Step-by-step explanation:

if we say 1/2 base = a

a² = 13² - 12²

a² = 25

a = √25

a = 5

if 1/2 base = 5 then x = a × 2

hence X = 5 × 2 = 10

Learning mathematics online can be more interesting than learning it in the classroom. It can also be different from learning other topics online because special tools can be used for this area.

Learning mathematics online is a process through which a person acquires skills and knowledge to solve mathematical problems through an online platform. This process can be enriching for the student because it will allow him to develop his knowledge of it.

Learning math online is different from learning other topics online because there are different platforms on the web that offer useful tools for different math topics such as geometry, arithmetic, algebra, among others. Therefore, it can be more interesting because the student can interact more directly with the knowledge.

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Answer:

\(\frac{7}{8}\)

Step-by-step explanation:

The slope of a perpendicular line is opposite and reciprocal to the original slope. Flip the fraction and change the sign, and you're all set!

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

Answer:

Top two: increasing quickly and decreasing quickly

bottom two: Decreasing slowly and increasing slowly

Step-by-step explanation:

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Answer:

The top right was Increasing quickly and the top left is decreasing quickly. The bottom right is decreasing slowly and the bottom left is increasing slowly.

Step-by-step explanation:

Hope this helps.

The amount to be paid is more on credit card 2 is more, it must be paid first.

Card 1:

Current balance = $8,312.69

Annual percentage rate APR = 24.16%

Credit limit = $10,000.

Used amount = $10,000 - $8,312.69

Used amount = 1687.31

A = P\((1 + r/n)^{nt}\)

P = $1687.31

r = 24.16% = 0.2416

Take n = 1 and time = 1 year.

A =  1687.31*\((1 + 0.2416/n)^{1*1}\)

A = 1687.31 * 1.2416

A = $2094.96

For Card 2:

Current balance = $1,180.34

APR = 21.15%

Credit limit = $75,00

Used amount = $75,00 - $1,180.34

Used amount = $6319.66

A = 6319.66*\((1 + 0.2115/n)^{1*1}\)

A = 6319.66 * 1.2115

A = $7656.26

As the amount to be paid is more on credit card 2 is more, it must be paid first.

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Answer:

Hello! answer: y = 122

Step-by-step explanation:

360 - 116 = 244 244 ÷ 2 = 122 therefore y = 122

Hope that helps!

Answer:

x= z (vertically opposite angles)

x+z= 116

x+x = 116

2x= 116

x=116/2

x= 58

x+y= 180°(straight angle)

58°+y= 180°

y= 180°-58°

y = 122°

Answer:

The distance between Mary's house and her grandmother's house is approximately 49.73 miles.

The 3 traveled the following distances:

Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.

Step-by-step explanation:

Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.

Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that

\(x = \sqrt{(13^2 + 48^2)} \\\\\)

  \(= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\\)

Mary's route was 49.73 square miles, to sum it up.

Nancy drove \(\sqrt{2,840} \ miles = 53.2916 \ miles\)

As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.

Answer:

49.73

Mary, Theo, Nancy

Step-by-step explanation:

Approximately how many miles did Mary drive to her grandmother’s house?

✔ 49.73

Order the distances that each family member drove to their grandmother’s house from least to greatest.

✔ Mary, Theo, Nancy

Problem 1

r = radius

A(r) = circular area function in terms of radius

A(r) = pi*r^2

=================================================

Problem 2

t = number of minutes that have elapsed

r(t) = radius function at time t

r(t) = 0.1t

=================================================

Optional Section:

Apply function composition to find the area in terms of elapsed time.

A(r) = pi*r^2

A( r(t) ) = pi * ( r(t) )^2

A(t) = pi*(0.1t)^2

A(t) = pi*0.01t^2

A(t) = 0.01pi*t^2

This gives the area of the circular puddle at any time t

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

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The number of different waysof distributing 14 identical books is 45.

To find the number of different ways in which 14 identical books can be distributed to three students, such that each student receives at least two books, we need to use the stars and bars method.

Let us first give two books to each of the three students.

This leaves us with 8 books.

We can now distribute the remaining 8 books using the stars and bars method.

We will use two bars and 8 stars. The two bars divide the 8 stars into three groups, representing the number of books each student receives.

For example, if the stars are grouped as shown below:* * * * | * * | * * *this represents that the first student gets 4 books, the second student gets 2 books, and the third student gets 3 books.

The number of ways to arrange two bars and 8 stars is equal to the number of ways to choose 2 positions out of 10 for the bars.

This can be found using combinations, which is written as: 10C2 = (10!)/(2!(10 - 2)!) = 45

Therefore, the number of different ways to distribute 14 identical books to three students such that each student receives at least two books is 45.

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Answer: a

Step-by-step explanation:

\(a^{2}=a \cdot a\\a^{2}+ab=a(a+b)\)

Therefore, the HCF is a.

Answer:

a

Step-by-step explanation:

Factorizing both terms :

The HCF of the terms is a.