Find the Slope-intercept equation of the line which passes through (3, -4) and (-3, 8).

Answer:

60 squared inches.

Step-by-step explanation:

You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.

The rectangle:

\(5(11)=55\)

The triangle:

\(2(5)=10\\10/2=5\)

Therefore, the whole polygon is 60 squared inches.

Like what the other one said, and thank you so much for the points.

There are 372 children, I hope my answer will be of use to you.

Answer:

g(f(3)) = 19

Step-by-step explanation:

This would be your functions: \(\displaystyle{f(x)=2x^2+x-7}\) and \(\displaystyle{g(x)=x+5}\). In order to evaluate g(f(3)), we must find the value of f(3) first which we can find by substituting x = 3 in the f(x).

\(\displaystyle{f(3)=2(3)^2+3-7}\\\\\displaystyle{f(3)=2\cdot 9 - 4}\\\\\displaystyle{f(3)=18-4}\\\\\displaystyle{f(3)=14}\)

Therefore, g(f(3)) is basically equal to g(14), we substitute x = 14 in the g(x).

\(\displaystyle{g(f(3))=g(14)=14+5 = 19}\)

Hence, g(f(3)) is 19.

Answer: x=20

Step-by-step explanation:

If im wrong, sorry

The angles of a triangle add up to 180 degrees.

(3x+5)+(2x+17)+(2x+18)=180

add the ones alike

3x + 2x + 2x=7x

5+17+18=40

so, 7x+40=180

we need to get the variable by itself so we take away 40 first by subtracting it from both sides of the equal sign

7x=140

we take away 7 from x by dividing it- opposite of multiplication is division

x=20

Answer:

x = 20

Step-by-step explanation:

3x+5° + 2x+18° + 2x+17° = 180° (sum of interior angles in a triangle is 180°)

collect like terms

3x + 2x + 2x + 5° + 18° + 17° = 180°

7x + 40° = 180°

solving for x

x = (180 - 40)/7

x = 140/7

x = 20

Answer:

32°+20+9x-1

collect like terms

32°+20-1+9x

32+18+9x

50=9x

divide both side by 9

5.6

1 significant figure

=6

3/4 is equivalent to 75%.

To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.

Answer:

75%....3/4 expressed as a percentage is just multiplying 3/4 and 100

Answer:

Not an amount, but the whole amount would be total

Step-by-step explanation:

Pls consider marking my answer as Brainliest! It would mean a lot!

Given line equation y=x+2

Compare above equation with slope intercept form y=mx+b

slope m=1 and y-intercept=(0,2)

Here it is line equation graph

Learn more about graphs

https://brainly.com/question/25974513

The value of angle x is 34.992°

According to the question we have been given a right angled triangle with its two sides as 7 units which is the perpendicular and 10 units which is the base.

We need to find the value of x that we need to find the measure of angle x.

For that we will use trigonometry. We know that,

        tanΘ =P/B

where,   P = perpendicular

             B = base

Now we need to find first tan x which is

       tan x = 7/10

       tan x = 0.7

          x = tan⁻¹(0.7)

          x = 34.992°

Hence the value of x is 34.992°

Learn more about trigonometry here : https://brainly.com/question/13729598

#SPJ9

Answer:

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

B.y=\(\frac{-3}{4}\)x-3

Step-by-step explanation:

Okay so essentially, the first thing you need to do is find the slope and y intercept for each equation. To find the slope, I like to look at the two points and divide the rise (How much it goes up or down) by the run (How much it moves left or right). For A the rise is 6 and the run is 4, so the slope is 6/4 or 3/2. To find the equation for A, you also need the y-intercept which is just the y value (how high up or down) it is when it crosses the y axis. In graph a, this is at -3. Because the equation of a line is y=mx+b (m being slope and b being y intercept), we know the equation for a is y=\(\frac{3}{2}\)x-3. We can do the same thing for B. The rise is -3 and the run is 4, so the slope is -3/4. The y value when x is equal to zero is 2, so that is the y intercept. The equation is y=\(\frac{-3}{4}\)x-3

The design that resulted in the shortest line is the one that minimized the distance between the start and end points.

This can be achieved by using a straight line design, as it is the shortest distance between two points. In other words, the shortest line design is the one that does not have any curves or detours, and instead goes directly from the start point to the end point. This is because the shortest distance between two points is always a straight line, and any other design would result in a longer line. Therefore, the design that resulted in the shortest line is the one that used a straight line.

Learn more about design

brainly.com/question/14035075

#SPJ11

The probability that the largest of n random samples is greater than the population median M is bounded above by\(1 - F(M)^(n-1) \times F(X(n))\).

Assumptions about the population and the sampling method.

Let's assume that the population has a continuous probability distribution with a well-defined median, and that we are taking independent random samples from this population.

Let \(X1, X2, ..., Xn\) be the random samples that we take from the population, where n is the sample size.

Let M be the population median.

The probability that the largest of these random samples, denoted by X(n), is greater than M.

Cumulative distribution function (CDF) of the population distribution to calculate this probability.

The CDF gives the probability that a random variable takes on a value less than or equal to a given number.

Let F(x) be the CDF of the population distribution.

Then, the probability that X(n) is greater than M is:

\(P(X(n) > M) = 1 - P(X(n) < = M)\)

Since we are assuming that the samples are independent, the joint probability of the samples is the product of their individual probabilities:

\(P(X1 < = x1, X2 < = x2, ..., Xn < = xn) = P(X1 < = x1) \times P(X2 < = x2) \times ... \times P(Xn < = xn)\)

For any x <= M, we have:

\(P(Xi < = x) < = P(Xi < = M) for i = 1, 2, ..., n\)

Therefore,

\(P(X1 < = x, X2 < = x, ..., Xn < = x) < = P(X1 < = M, X2 < = M, ..., Xn < = M) = F(M)^n\)

Using the complement rule and the fact that the samples are identically distributed, we get:

\(P(X(n) > M) = 1 - P(X(n) < = M)\)

= \(1 - P(X1 < = M, X2 < = M, ..., X(n) < = M)\)

=\(1 - [P(X1 < = M) \times P(X2 < = M) \times ... \times P(X(n-1) < = M) \times P(X(n) < = M)]\)

\(< = 1 - F(M)^(n-1) \times F(X(n))\)

Probability depends on the sample size n and the distribution of the population.

If the population is symmetric around its median, the probability is 0.5 for any sample size.

As the sample size increases, the probability generally increases, but the rate of increase depends on the population distribution.

For similar questions on Median

https://brainly.com/question/26177250

#SPJ11

Answer:

(1,5)

Step-by-step explanation:

Substitute the first equation into the second:

3x + 2(4x+1) = 13

3x + 8x + 2= 13

11x = 11

x = 1

y = 4(1) + 1 = 5

(1,5)

Based on the information provided, we cannot definitively say whether the county rate is higher than the state rate. The reason for this is because the confidence intervals for both rates overlap.

Since these intervals overlap, there is a chance that the true rate for the county is lower than the true rate for the state, even though the point estimate (i.e. the reported rate) for the county is higher than the point estimate for the state.

To be more precise, we can use the margin of error for each estimate to calculate the range of values that could reasonably contain the true rate. For the county rate, the margin of error is (14.9-10.3)/2 = 2.3. For the state rate, the margin of error is (11.3-9.8)/2 = 0.75.

Therefore, the range of confidence intervals values that could reasonably contain the true rate for the county is (10.3-2.3, 10.3+2.3) = (8, 12.6), and the range of values that could reasonably contain the true rate for the state is (9.8-0.75, 9.8+0.75) = (9.05, 10.55).

As we can see, the two ranges of confidence intervals overlap, indicating that we cannot say with certainty that the county rate is higher than the state rate. We can only say that the county rate is higher than the state rate at the reported significance level (i.e. 95%), but there is still a chance that this result is due to chance or sampling variability.

Know more about confidence intervals here:

https://brainly.com/question/29680703

#SPJ11

Answer:

Step-by-step explanation:

D.If the scale factor between P and Q is 15, then each side length of P is multiplied by 15 to get the corresponding side length of Q.

E.If the scale factor is 2, each angle in P is multiplied by 2 to get the corresponding angle in Q.

F.Q has 2 acute angles and 3 obtuse angles.

The radius of convergence, r is 1 and interval of convergence, i, of the series. [infinity] (x − 14)n n2 1 n = 0 is [13, 15), including 13 but excluding 15.

To find the radius of convergence, we can use the ratio test:

lim |(x - 14)(n+1)^2 / n^2| = lim |(x - 14)(n+1)^2| / n^2

= lim (x - 14)(n+1)^2 / n^2

Since the limit of the ratio as n approaches infinity exists, we can apply L'Hopital's rule:

lim (x - 14)(n+1)^2 / n^2 = lim (x - 14)2(n+1) / 2n

= lim (x - 14)(n+1) / n

= |x - 14|

So the series converges if |x - 14| < 1, and diverges if |x - 14| > 1. Therefore, the radius of convergence is 1.

To find the interval of convergence, we need to check the endpoints x = 13 and x = 15.

When x = 13, the series becomes:

∑ [13 - 14]^n n^2 = ∑ (-1)^n n^2

This is an alternating series that satisfies the conditions of the alternating series test, so it converges.

When x = 15, the series becomes:

∑ [15 - 14]^n n^2 = ∑ n^2

This series diverges by the p-test.

Therefore, the interval of convergence is [13, 15), including 13 but excluding 15.

Know more about convergence here:

https://brainly.com/question/30640856

#SPJ11

The probability that their sum will be 6 is 1/6.

What is probability?

The proportion of favorable cases to all possible cases is used to determine how likely an event is to occur.

Here are all rolls of the dice, the sample space,

which contains 36 elements:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

If one face shows a 2, then there are 6 possible faces on the other die.

Only one of those is a 4 which would make the sum of 6.

Hence,  the probability that their sum will be 6 is 1/6.

To learn more about the probability from the given link

https://brainly.com/question/24756209

#SPJ4

Data:

Initial balance: c

intrest rate: r

time (months)=m

growth: b

c=$100

r=7%=0.07

To an exponential function you have the next general form:

In this case

y=b(m)

C=c

r=r

t=m

Answer:

Using the distributive property. (Answer is n = 3).

Step-by-step explanation:

3(5n - 7) = 24

Solve it by multiplying the 3 and 5, and the 3 and 7, to make it:

15n - 21 = 24

Then, solve the rest of it.

15n -21 + 21 = 24 + 21

15n = 45

15n divided by 15 = 45 divided by 15

n = 3

Answer:

Below!

Step-by-step explanation:

The best way to solve this equation is to use distributive property to simplify the LHS. Once simplified, isolate the variable. Once isolated, divide both sides (If needed). Once divided, your result will be nice and clear. Please seek below for solution of the problem.

Answer:

f(x) = −2/5x + 1

Step-by-step explanation:

when putting an equation in function notation first you must make sure the equation is in slope-intercept form and then you must rewrite the equation but instead of putting y you will replace it with f(x), or g(x), whichever one you are given directions to put it as.

Hope This Helps!

Plz Mark Brainliest!

Answer:

17 1/2 miles

Step-by-step explanation:

5 x 3 = 15------->5 x 1/2 = 2 1/2

15 + 2 1/2 =  17 1/2 miles

                 Morgan rides 17 and a half miles.

Answer:

17.5

Step-by-step explanation:

3.5 multiply by 5 and you get your answer of 17.5

Answer:

-56+42i

Step-by-step explanation:

(-7+7i)(7+I)

Using expansion method

(-7×7)+(-7×i)+(7i×7)+(7i×i)

-49-7i+49i+7i^2(because i^2=-1)

therefore -1×+7=-7

collect like terms

-49-7-7i+49i

-56+42i

Answer:

??????.

Step-by-step explanation:

????????????????

Answer: 20.48

Step-by-step explanation: you add 5.12 four time then you get 20.48.

The correct statement as regards the transformation involving translation is

Transformation is a term used in mathematics to refer to the movements made by objects.

Transformation is basically of two major divisions

Non rigid transformation are the transformation where the dimension or size of the object will be different from the image, example is dilation

In rigid transformation, the dimensions of the object is maintained through out the transformation examples of rigid transformation are

Since the transformation point A and point B made are all translation which is a type of rigid transformation, the dimension of the length will remain same

Learn more on transformation here:

https://brainly.com/question/4289712

#SPJ1

There are two ways to find the remainder when a polynomial in x is divided by a binomial of the form x-r, the use of synthetic division or calculate P(r).

Synthetic division

The Synthetic division is a shortcut way of polynomial division, especially if we need to divide it by a linear factor. It is generally used to find out the zeroes or roots of polynomials and not for the division of factors.

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

Learn more about polynomial here :-

https://brainly.com/question/11536910

#SPJ4

The z-score of an appliance that failed after 64 months is 2.

To find the z-score:

The given parameters are:

The z-score is then computed as follows:

We have the following for an appliance that stopped working after 64 months:

So, the equation becomes:

Compare and contrast the differences:

Calculate the quotient:

Therefore, the z-score of an appliance that failed after 64 months is 2.

Know more about mean here:

https://brainly.com/question/1136789

#SPJ4

The fifth number in the 7853rd row as required to be determined is; 47,116.

It follows from the task content that the fifth number on the 7853rd row of the sequence is to be determined. By observation, each column of the sequence of numbers represents an arithmetic sequence of numbers in which case;

The common difference is; 6 - 0 = 12 - 6 = 17 - 11 = 6.

Therefore, since the nth term of an arithmetic sequence is given by the formula;T (n) = a + (n - 1) d.

where a = does term

n = number of terms

d = common difference

In this scenario, the first term is the fifth number on the first row = 4.Therefore, the fifth number on the 7853rd row is; T (7853) = 4 + (7853 - 1) × 6T = 4 + (7852 × 6)T = 4 + 47,112T = 47, 116.

Therefore, the required number is; 47,116.

Read more on arithmetic sequence;

https://brainly.com/question/7882626

#SPJ1