Find the sum of the first 12 terms of the sequence 512, 256, 128, … This is infinite series notation, the answer is NOT 896...

Find The Sum Of The First 12 Terms Of The Sequence 512, 256, 128, This Is Infinite Series Notation, The

Answers

Answer 1

Answer:

1023.75

Step-by-step explanation:

The sum of a geometric sequence is

sum = a( 1 - r^n) / (1-r)

where a is the first term  r is the common ratio and  r^n is the nth term

We need to find the common ratio

r = 256/512 = 1/2

sum = 512 ( 1 - 1/2^12) / ( 1-1/2)

       =512( 1-.000244141) / (.5)

       =512(.999755859) /.5

     =1023.75

Answer 2

Answer:

1023.75

Step-by-step explanation:

sum = a( 1 - r^n) / (1-r)

a1 = 512

n = 12

r = 256 / 512 = 1/2

                              512 (1 - 1/2¹²)

therefore.. sum =  ------------------ = 1023.75

                                   1 - 1/2


Related Questions

A circle has center (3, -5) and the point (-1, -8) lies on the circumference of the circle. What is the equation of the circle in Standard Form?

Answers

Answer:

[tex] {(x - 3)}^{2} + {(y + 5)}^{2} = {5}^{2} [/tex]

Step-by-step explanation:

First find the radius

Which is the distance between the 2 points.

Radius =5

The answer in the standad form is above.

The equation of the circle in Standard Form is (x - 3)² + (y + 5)² = 25

The standard equation of a circle is given as:

(x - a)² + (y - b)² = r²

where (a, b) is the center of the circle and r is the radius of the circle.

Given the center as (3, -5) hence the radius of the circle is the distance between (3, -5) and (-1, -8). Hence:

[tex]Radius=\sqrt{(-8-(-5))^2+(-1-3)^2} \\\\Radius=5\ units\\[/tex]

hence:

(x - 3)² + (y - (-5))² = 5²

(x - 3)² + (y + 5)² = 25

The equation of the circle in Standard Form is (x - 3)² + (y + 5)² = 25

Find out more at: https://brainly.com/question/13658927

Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Playing the game of​ roulette, where the wheel consists of slots numbered​ 00, 0,​ 1, 2,​ ..., To play the​ game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots.a. The sample space is (00, 0}. b. The sample space is (00, 0, 1,2,., 33). c. The sample space is (00). d. The sample space is (1, 2,..., 33).

Answers

Answer:

The correct option is (B).

Step-by-step explanation:

It is provided that, in a game of roulette the  wheel consists of slots numbered​ 00, 0,​ 1, 2,​ ..., 33.

The sample space of an experiment, is the set of all the possible outcomes of the random trials.

There are a total of 35 slots on the roulette wheel where the ball can land.

So, there are a total of 35 outcomes for one rotation of the wheel.

Then the sample space consists of all the 35 outcomes, i.e.

S = {00, 0, 1, 2, 3, ..., 33}

Thus, the correct option is (B).

illustrate the distributive property to solve 144/8

Answers

Answer:

8 (19) or  8 (18 +1)

Step-by-step explanation:

Distributive property means to distribute.

HCF of 144 and 8.

=> 8 is the HCF of 144 and 8

8 (18 + 1)

=> 8 (19)

Change each of the following points from rectangular coordinates to spherical coordinates and to cylindrical coordinates.
a. (4,2,−4)
b. (0,8,15)
c. (√2,1,1)
d. (−2√3,−2,3)

Answers

Answer and Step-by-step explanation: Spherical coordinate describes a location of a point in space: one distance (ρ) and two angles (Ф,θ).To transform cartesian coordinates into spherical coordinates:

[tex]\rho = \sqrt{x^{2}+y^{2}+z^{2}}[/tex]

[tex]\phi = cos^{-1}\frac{z}{\rho}[/tex]

For angle θ:

If x > 0 and y > 0: [tex]\theta = tan^{-1}\frac{y}{x}[/tex];If x < 0: [tex]\theta = \pi + tan^{-1}\frac{y}{x}[/tex];If x > 0 and y < 0: [tex]\theta = 2\pi + tan^{-1}\frac{y}{x}[/tex];

Calculating:

a) (4,2,-4)

[tex]\rho = \sqrt{4^{2}+2^{2}+(-4)^{2}}[/tex] = 6

[tex]\phi = cos^{-1}(\frac{-4}{6})[/tex]

[tex]\phi = cos^{-1}(\frac{-2}{3})[/tex]

For θ, choose 1st option:

[tex]\theta = tan^{-1}(\frac{2}{4})[/tex]

[tex]\theta = tan^{-1}(\frac{1}{2})[/tex]

b) (0,8,15)

[tex]\rho = \sqrt{0^{2}+8^{2}+(15)^{2}}[/tex] = 17

[tex]\phi = cos^{-1}(\frac{15}{17})[/tex]

[tex]\theta = tan^{-1}\frac{y}{x}[/tex]

The angle θ gives a tangent that doesn't exist. Analysing table of sine, cosine and tangent: θ = [tex]\frac{\pi}{2}[/tex]

c) (√2,1,1)

[tex]\rho = \sqrt{(\sqrt{2} )^{2}+1^{2}+1^{2}}[/tex] = 2

[tex]\phi = cos^{-1}(\frac{1}{2})[/tex]

[tex]\phi[/tex] = [tex]\frac{\pi}{3}[/tex]

[tex]\theta = tan^{-1}\frac{1}{\sqrt{2} }[/tex]

d) (−2√3,−2,3)

[tex]\rho = \sqrt{(-2\sqrt{3} )^{2}+(-2)^{2}+3^{2}}[/tex] = 5

[tex]\phi = cos^{-1}(\frac{3}{5})[/tex]

Since x < 0, use 2nd option:

[tex]\theta = \pi + tan^{-1}\frac{1}{\sqrt{3} }[/tex]

[tex]\theta = \pi + \frac{\pi}{6}[/tex]

[tex]\theta = \frac{7\pi}{6}[/tex]

Cilindrical coordinate describes a 3 dimension space: 2 distances (r and z) and 1 angle (θ). To express cartesian coordinates into cilindrical:

[tex]r=\sqrt{x^{2}+y^{2}}[/tex]

Angle θ is the same as spherical coordinate;

z = z

Calculating:

a) (4,2,-4)

[tex]r=\sqrt{4^{2}+2^{2}}[/tex] = [tex]\sqrt{20}[/tex]

[tex]\theta = tan^{-1}\frac{1}{2}[/tex]

z = -4

b) (0, 8, 15)

[tex]r=\sqrt{0^{2}+8^{2}}[/tex] = 8

[tex]\theta = \frac{\pi}{2}[/tex]

z = 15

c) (√2,1,1)

[tex]r=\sqrt{(\sqrt{2} )^{2}+1^{2}}[/tex] = [tex]\sqrt{3}[/tex]

[tex]\theta = \frac{\pi}{3}[/tex]

z = 1

d) (−2√3,−2,3)

[tex]r=\sqrt{(-2\sqrt{3} )^{2}+(-2)^{2}}[/tex] = 4

[tex]\theta = \frac{7\pi}{6}[/tex]

z = 3

If 2x + 5 = 8x, then 12x = ?
A 5
B
10
C
15
D 20

Answers

Answer:

10

Step-by-step explanation:

2x + 5 = 8x

Subtract 2x from each side

2x-2x + 5 = 8x-2x

5 = 6x

We want 12x so multiply each side by 2

2*5 = 6x*2

10 = 12x

Answer:

B. 10

Step-by-step explanation:

To find 12x, you first need to find the value of x using the first equation:

[tex]2x+5=8x[/tex]

You need to get the variables (x) on the same side of the equation in order to simplify them. To do this, use reverse operations. Subtract 2x from both sides to keep the equation balanced:

[tex]2x-2x+5=8x-2x\\\\5=6x[/tex]

Now isolate the variable (x) by dividing both sides of the equation by 6 (using reverse operations):

[tex]\frac{5}{6}=\frac{6x}{6} \\\\\frac{5}{6}=x[/tex]

Now insert the given value of x into 12x:

[tex]12(\frac{5}{6})[/tex]

Simplify:

[tex]12*\frac{5}{6} \\\\\frac{12}{1}*\frac{5}{6}\\\\\frac{60}{6}=10[/tex]

12x equals 10.

:Done

.... i repost bec brainly would not allow me to make it lager
that is all i can do​

Answers

Answer:

Hey there!

Richard has 480 dollars.

Giving 1/4 of the money to his brother would mean giving 120 dollars to his brother.

Richard has 480-120, or 360 dollars left.

Giving 1/3 of the money left would be giving 120 dollars to his sister.

His sister and brother both got 120 dollars from Richard.

Hope this helps, and let me know if you need more help. :)

WILL MARK BRAINIEST!!! Segment AC has two endpoints; (-2,5) and (2,-5). What are the coordinates of point B on segment AC such that the ratio of AB to BC is 5:1? Any help would be appreciated; first correct answer get brainiest and a 5 star review!

Answers

Answer:

[tex](\frac{4}{3},-\frac{10}{3})[/tex]

Step-by-step explanation:

If the extreme ends of a line segment AC are A[tex](x_1,y_1)[/tex] and C[tex](x_2,y_2)[/tex].

If a point B(x, y) divides the segment in the ratio of m : n

Then the coordinates of the point B are,

x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]

y = [tex]\frac{my_2+ny_1}{m+n}[/tex]

If the ends of AC are A(-2, 5) and C(2, -5) and a point B divides it in the ratio of m : n = 5 : 1

Therefore, coordinates of this point will be,

x = [tex]\frac{5\times (2)+1(-2)}{5+1}[/tex]

  = [tex]\frac{10-2}{5+1}[/tex]

  = [tex]\frac{8}{6}[/tex]

  = [tex]\frac{4}{3}[/tex]

y = [tex]\frac{5\times (-5)+1(5)}{5+1}[/tex]

  = [tex]\frac{-25+5}{6}[/tex]

  = [tex]-\frac{20}{6}[/tex]

  = [tex]-\frac{10}{3}[/tex]

Therefore, coordinates of the point B are [tex](\frac{4}{3},-\frac{10}{3})[/tex].

The Centers for Disease Control and Prevention (CDC) report that gastroenteritis, or stomach flu, is the most frequently reported type of recreational water illness. Gastroenteritis is a viral or bacterial infection that spreads through contaminated food and water. Suppose that inspectors wish to determine if the proportion of public swimming pools nationwide that fail to meet disinfectant standards is different from 10.7%, which was the proportion of pools that failed the last time a comprehensive study was done, 2008.

A simple random sample of 30 public swimming pools was obtained nationwide. Tests conducted on these pools revealed that 26 of the 30 pools had the required pool disinfectant levels.

Does this sample meet the requirements for conducting a one-sample z ‑test for a proportion?

a. No, the requirements are not met because the population standard deviation is not known.
b. No, the requirements are not met because the sample has fewer than 10 failures, which violates the condition for approximating a normal distribution.
c. No, the requirements are not met because the sample is not random, even though the number of successes and the number of failures are both at least 10, ensuring that the distribution is approximately normal.
d. Yes, the requirements are met because the sample size is more than 30, ensuring that the distribution is approximately normal.
e. Yes, the requirements are met because the number of successes and the number of failures of this random sample are both at least 10, ensuring that the distribution is approximately normal.

Answers

b. No, the requirements are not met because the sample has fewer than 10 failures, which violates the condition for approximating a normal distribution.

Step-by-step explanation:

from the question,  the number of successes is equal to 30

and it is more than the number of failures

for us to conduct this test such as the z test the data we are using should be a random sample from the population that we are interested in. the population should be at least as big as the sample by 10 times. first of all We need to check if the mean of the sample is normally distributed.

if 26 are successes out of a sample of 30, then failures would be 4. therefore option b is correct.

Find the vector and parametric equations for the line through the point P(0, 0, 5) and orthogonal to the plane −1x+3y−3z=1. Vector Form: r

Answers

Answer:

Note that orthogonal to the plane means perpendicular to the plane.

Step-by-step explanation:

-1x+3y-3z=1 can also be written as -1x+3y-3z=0

The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).

Let us find a point on this  line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively

Therefore, the vector equation is given as:

-1(x-0) + 3(y-0) + -3(z-5) = 0

-x + 3y + (-3z+15) = 0

-x + 3y -3z + 15 = 0

Multiply through by - to get a positive x coordinate to give

x - 3y + 3z - 15 = 0

Ashton needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Ashton only has $50 to spend on the car rental, what is the maximum number of miles she can drive?

Answers

Answer:

166.9 miles or 166 miles

Step-by-step explanation:

We can form an equation like this:

19.95 + .18x = 50

In this equation, "x" is the number of miles.

=> 19.95 - 19.95 +.18x = 50 -19.95

=> .18x = 30.05

=> .18x/.18 = 30.05/.18

=> x = 166.9

Ashton can drive 166.9 miles.

**Note: We cannot round the answer to 167, as she would not have enough money to drive the extra 0.1 mile.

In Triangle A B C, what is the value of x? Triangle A B C. Angle A is (10 x minus 10) degrees, angle B is (8 x) degrees, angle C is (10 x + 8) degrees.

Answers

Answer:

6.5

Step-by-step explanation:

The sum of all angles in a triangle are 180 degrees.

=> 10x -10 + 8x + 10x + 8 = 180

=> 28x -2 = 180

=> 28x = 182

=> x = 6.5

So, Angle A = 10 x 6.5 -10 = 65 - 10 = 55 degrees

     Angle B = 8 x 6.5 = 52 degrees

     Angle C = 10 x 6.5 + 8 = 65 + 8 = 73 degrees.

55 + 52 + 73 = 55 + 125 = 180 degrees

Match the ones on the left to the right

Answers

Answer/Step-by-step explanation:

[tex] (4 + 5) + 2 = 4 + (5 + 2) [/tex] => any combination of numbers were formed or grouped when adding. The associative property of addition was applied.

[tex] 2(2x + 4) = 4x + 8 [/tex] => the sum of two terms (addend) are multiplied by by a number separately (I.e., a(b + c) = a(b) + a(c) = ab + ac). The property applied is distributive property.

[tex] (7x * x) * 3 = 7 * (x * 3) [/tex] => the numbers were grouped in any combination to arrive at same result when multiplying. Associative property of multiplication was applied.

[tex] (8 * x * 2) = (x * 8 * 2) [/tex] => the numbers where ordered in any manner to arrive at same result when multiplying. Cummutative property of multiplication was applied.

[tex] (7 + 3) + 1 = (1 + (7 + 3) [/tex] => the order in which the nnumbers in the were arranged doesn't matter, as same result is arrive at. This is Cummutative property of addition.

A cylindrical grain silo, with a flat top, is 30 feet tall and has a radius of 12 feet. It is full to the top with shelled corn. If the density of shelled corn averages 45 pounds/cubic foot, what does the corn in the silo weigh to the nearest pound

Answers

Answer:

610805 pounds

Step-by-step explanation:

The volume of grain in the silo will be calculated as equal to the volume of the cylinder formed by the silo

Height of the silo [tex]l[/tex] = 30 ft

radius of the silo r = 12 ft

volume of a cylinder = [tex]\pi r^{2} l[/tex]

substituting, we have

V = 3.142 x [tex]12^{2}[/tex] x 30 = 13573.44 cubic feet

We know that density ρ = weight/volume

density of the grains in the silo = 45 pound/cubic feet

therefore,

weight of grains = density x volume

weight of grains = 45 x 13573.44 = 610804.8 ≅ 610805 pounds

Identify the vertex of the graph. Tell whether it is a minimum or maximum.
(-2,-2); maximum
(-2,-2); minimum
(-2, -1); minimum
(-2, -1); maximum

Answers

Answer:

(-2,-2); minimum

Step-by-step explanation:

From the graph, the vertex is (-2, -2) and since there are no y values that go less than the y value of the vertex, it is a minimum.


[tex](y - 1) log_{10}(4?) = log_{10}(16?) [/tex]
find the value of y​

Answers

Answer:

3

Step-by-step explanation:

Given the log function [tex](y-1)log_{10}(4) = log_{10} 16\\ \\[/tex] to get the value of y, the following steps must be carried out;

[tex](y-1)log_{10}(4) = log_{10} 16\\\\(y-1)log_{10}(2^2) = log_{10} 2^4\\\\ (y-1)2log_{10}(2) = 4log_{10} 2\\ \\DIvide\ both\ sides\ by \ log_{10}2\\\\\frac{2(y-1)log_{10}2 }{log_{10}2} = \frac{4log_{10}2}{log_{10}2} \\\\2(y-1) = 4\\\\[/tex]

Open the bracket

[tex]2y-2(1) = 4\\\\2y -2 = 4\\\\add \ 2 \ to \ both \ sides\\\\2y-2+2 = 4+2\\\\2y = 6\\\\Divide \ both \ sides\ by \ 2\\\\2y/2 = 6/2\\\\y = 3[/tex]

Hence the value of y is 3

Identify the terms, constants, coefficient, factor of the algebraic expression -7x+9.

Answers

Answer:

Term is something that is being added together. Factor is something that is being multiplied together. Coefficient is a number that is being multiplied by the variable. 2x+6x+14. The 2x, 6x, and 14 are terms because they are being added together.

Step-by-step explanation:

Find x. A. 44√3 B. 33 C. 33√2 D. 11√3

Answers

Answer:

B

Step-by-step explanation:

Sin 45 = y/(11√6)

1/√2 = y/(11√6)

y= (11√6)/√2

y= 11√3

tan 60 = x/y

√3 = x/y

x = y√3

= (11√3)√3

= 11(3)

= 33

Help please!!!!!!!!!!!!

Answers

Answers:K ' = (-9, 5)L ' = (-5, 7)M ' = (-3, 5)N ' = (-5, 3)

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

Explanation:

When we reflect any point (x,y) over the line y = x, the x and y coordinates swap. So for instance, we have K = (5, -9) turn into K ' = (-9, 5).

Consider a point like (1,2). We can move it down 1 unit to have it land on the line y = x, then we can move it one unit to the right to move it to (2,1). These two translations effectively move the original point to its reflected location. The distance from (1,2) to y = x, is the same as the distance from (2,1) to y = x. Furthermore, the line connecting (1,2) to (2,1) is perpendicular to y = x.

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(A LOT OF POINTS) Given the linear equation 2x + y = 6, perform the necessary operations to put the equation into the proper general form. Explain in complete sentences how you knew that the equation was in the proper general form. Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include the entire process for establishing the general form of the equation and the general form.

Answers

Answer:

[tex]\huge\boxed{2x + y - 6 = 0}[/tex]

Step-by-step explanation:

2x + y = 6

Subtracting both sides by 6

2x + y - 6 = 0

Comparing it with the general form of equation [tex]\sf Ax+By +C = 0[/tex] , we get:

A = 2, B = 1 and C = -6.

So, the equation is in proper general form.

Answer:

[tex]\boxed{2x+y-6=0}[/tex]

Step-by-step explanation:

[tex]\sf The \ general \ form \ for \ the \ equation \ of \ a \ line \ is \ given \ as \ Ax+By+C=0.[/tex]

[tex]2x+y=6[/tex]

[tex]\sf Subtract \ 6 \ from \ both \ sides.[/tex]

[tex]2x+y-6=6-6[/tex]

[tex]2x+y-6=0[/tex]

[tex]\sf A=2 \ \ \ B = 1 \ \ \ C=-6[/tex]

[tex]\sf The \ equation \ is \ in \ general \ form.[/tex]

[tex]\sf Graph \ equation:[/tex]

Choose the correct simplification of 9x^2(4x + 2x^2 − 1)

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

18x⁴ + 36x³ - 9x²

▹ Step-by-Step Explanation

9x²(4x + 2x² - 1)

36x³ + 18x⁴ - 9x²

18x⁴ + 36x³ - 9x²

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Money is invested into an account earning 4.25% interest compounded annually. If the accumulated value after 18 years
will be $25,000, approximately how much money is presently in the account?
a $5,875
b. $11,820
c. $19,125
d. $23,960

Answers

Answer:

  b.  $11,820

Step-by-step explanation:

The 'rule of 72' tells you the doubling time of this account is about ...

  (72 years)/(4.25) = 16.9 years

So, in 18 years, the amount will be slightly more than double the present value. That is, the present value is slightly less than half the future amount.

  $25,000/2 = $12,500

The closest answer choice is ...

  $11,820

__

The present value of that future amount is ...

  PV = FV×(1 +r)^-t = $25,000×1.0425^-18 ≈ $11,818.73

The present value is about $11,820.

Answer:

B

Step-by-step explanation:

Could anyone help me with this question please? Thank you.

Answers

Answer:

  C)  549 km²

Step-by-step explanation:

The area of the regular pentagon is given by ...

  A = (1/2)Pa

where P represents the perimeter, and 'a' represents the apothem (6.2 km). Of course, the perimeter is 5 times the side length.

The lateral area is the product of the perimeter and the height:

  LA = Ph

Using these formulas, and recognizing the total area includes two (2) pentagons, we have ...

  total area = (LA) +2(A) = Ph +2(1/2)Pa = P(h +a)

  = (45 km)(6 km +6.2 km) = 549 km^2

When Jason was 16 years old, he deposited $200 in an account that earned 223% interest compounded daily. If he makes no other deposits or withdrawals, what is Jason’s balance at age 20?

Answers

Answer:

Balance at the age of 20 will be $1455966.46

Step-by-step explanation:

Formula to calculate the final amount is,

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A = Final amount

P = Principal amount or amount invested

A = Final amount

r = Rate of interest

n = Number of compounding in a year

If Jason invested $200 in an account for 4 years with rate of interest 223%.

P = $200

r = 223%

n = 365

t = 4 years

A = [tex]200(1+\frac{2.23}{365})^{(4\times 365)}[/tex]

A = [tex]200(1.0061096)^{1460}[/tex]

A = $1455966.46

Therefore, balance amount in Jason's account at the age of 20 will be $1455966.46.

Suppose that it rains in Spain an average of once every 9 days, and when it does, hurricanes have a 2% chance of happening in Hartford. When it does not rain in Spain, hurricanes have a 1% chance of happening in Hartford. What is the probability that it rains in Spain when hurricanes happen in Hartford? (Round your answer to four decimal places.)

Answers

Answer:

I found the answer on Yahoo

Step-by-step explanation:

P[rains in spain] = 1/9

P[hurricane in hartford & rain in spain] = 0.03*1/9 = A

P[hurricane in hartford & no rain in spain] = 0.02*8/9

P[hurricane in hartford] = 0.03*1/9 + 0.02*8/9 = 0.19/9 = B

P[rain in spain | hurricane in hartford] = A/B = 3/19 <---------

The probability density function for random variable W is given as follows: Let x be the 100pth percentile of W and y be the 100(1 – p)th percentile of W, where 0

Answers

Answer:

Step-by-step explanation:

A probability density function (pdf) is used for continuous random variables. That is why p is between 0 and 1 (the two extremes - 0 and 1 - exclusive).

X = 100pth percentile of W

Y = 100(1-p)th percentile of W

Expressing Y as a function of X;

Y = 100(1-p)th = 100th - 100pth

Recall that 100pth is same as X, so substitute;

Y = 100th - X

where 100th = hundredth percentile of W and X = 100pth percentile of W  

How many solutions does 2−9x=−6x+5−3x have?

Answers

Answer:

There are no values of  x  that make the equation true.

No solution

Step-by-step

hope it help

Hi

2-9x = -6x+5-3x

-9x+6x+3x = 5-2

  0x = 3

as  0 ≠ 3 , there is no answer possible to your equation.

Please help with this

Answers

The shape has 11 sides.

Using the angle formula for polygons:

The sum of all the interior angles is:

11-2 x 180 = 9 x 180 = 1,620 degrees.

For one angle divide the total by number of sides:

1620 / 11 = 147.27 which rounds to 147.2

The answer is D.

URGENT, PLEASE HELP! (4/5) -50 POINTS- ! please no wrong answers for the points.! A) y = -3x + 2 B) y = -x + 2 C) y = 3x + 2 D) y = x + 1

Answers

Answer:

D  y= x+1

Step-by-step explanation:

The line has a positive slope since it goes up from left to right

We can eliminate A and B

3 is a fairly steep slope for line C

Lets check with point x=7

y = 3*7 +2 = 21+2 = 23

Way too steep

Lets check 2

y = 3*2+2 = 6+2 = 8

Still above the points

Checking D

y = x+1

x=7

y = 7+1 =8  A little high

x=2

y = 2+1 =3  A little low    but much better than C

Answer:

[tex]\huge \boxed{y=x+1}[/tex]

Step-by-step explanation:

Using a graph,

we can see the line y=x+1 is best fit for the data.

Ava started her hw at 7:20pm she finished it at 8:05 pm how long did she take to her hw?

Answers

Answer:

45 mins

Step-by-step explanation:

find the dimension of the swimming pool if the sum must be 50 feet and the length must be 3 times the depth.

Answers

Answer:

depth 5 8.3 ft, length 5 24.9 ft, width 5 16.8 ft

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For we must consider that we shall be as a city upon a hill. The eyes of all people are upon us. So that if we shall deal falsely with our God in this work we have undertaken, and so cause Him to withdraw His present help from us, we shall be made a story and a by-word through the world. Based on this excerpt, what was John Winthrops goal? to make Massachusetts Bay Colony an example of Christian living to make Plymouth Colony an example of Christian living to establish Massachusetts Bay Colony as a place of religious tolerance to establish Plymouth Colony as a place of religious tolerance help me out with this plzz 20 points and also brainlest my question in the attachment below thank you :) 1. The Hawaiian Islands are examples of islands that formed over a hotspot. Based on this information, which of the following processes formed the Hawaiian Islands? (2 points) Melted rock called magma rose through holes in Earth's crust and gradually solidified as it cooled. Tectonic movement forced certain segments of Earth's crust downward and other segments upward in jagged chunks. One tectonic plate moved beneath another plate at a subduction zone, causing the rock to melt and rise above Earth's surface. Segments of Earth's crust bent and doubled over, and moving wind and water gradually shaped the rock into gently sloping domes. A particular country has total states. If the areas states are added and the sum is divided by , the result is square kilometers. Determine whether this result is a statistic or a parameter. Which route did the Northern Pacific Railway follow to Washington?a. It ran along the western United States to Seattle.b. It ran across the northern United States to Seattle.c. It ran along the western United States to Kalama.d. It ran across the northern United States to Kalama. HELP ASAP BRAINLIST Which statement would most likely be made by a child during the late 19thcentury? Emira wants to buy a classic drawing from an art centre in Kuala Lumpur. She managed to secure a painting by a renowned Malaysian artist that costs her RM99,800. Currently, she only has RM12,650 in her savings account and she intends to use 70% of her saving to fund the purchase. If she borrows the remaining amount from Bank Atlantis that levies 4.77% of interest rates, determine the total interest payment that she will pay if the agreement takes 10 years of settlement. The value root of 46 of lies between which two consecutive integers Exercise 7-9 Variable and Absorption Costing Unit Product Costs and Income Statements [LO7-1, LO7-2, LO7-3]Walsh Company manufactures and sells one product. The following information pertains to each of the companys first two years of operations:Variable costs per unit: Manufacturing: Direct materials $ 25Direct labor $ 15Variable manufacturing overhead $5Variable selling and administrative $2Fixed costs per year: Fixed manufacturing overhead $250,000Fixed selling and administrative expenses $80,000During its first year of operations, Walsh produced 50,000 units and sold 40,000 units. During its second year of operations, it produced 40,000 units and sold 50,000 units. The selling price of the companys product is $60 per unit.Required:1. Assume the company uses variable costing:a. Compute the unit product cost for Year 1 and Year 2.b. Prepare an income statement for Year 1 and Year 2.2. Assume the company uses absorption costing:a. Compute the unit product cost for Year 1 and Year 2.b. Prepare an income statement for Year 1 and Year 2.3. Reconcile the difference between variable costing and absorption costing net operating income in Year 1. The following information was available from the inventory records of Sunland Company for January: Units Unit Cost Total Cost Balance at January 1 9000 $9.70 $87300 Purchases: January 6 6000 10.35 62100 January 26 8300 10.73 89059 Sales January 7 (7400 ) January 31 (11300 ) Balance at January 31 4600 Assuming that Sunland does not maintain perpetual inventory records, what should be the inventory at January 31, using the weighted-average inventory method, rounded to the nearest dollar? Which line(s) from the poem show the reader that the poet is not just makinga statement about trees?OA. Now, of my threescore years and ten/ Twenty will not come again,B. And stands about the woodland ride/Wearing white forEastertide.) C. Loveliest of trees, the cherry now/ Is hung with bloom along thebough.OD. About the woodlands I will go/To see the cherry hung with snow. Plz help ASAP PLZZZ!!! What was Martin Luther's main gripe with the Catholic Church? According to Luther, how does a person gain salvation? You are walking past a construction site on a hot day when you notice one of the workers staggering about. The man is sweating profusely and tells you that he feels weak and dizzy. Which action would be most appropriate for you to do first? A ball is thrown upward from a height of 432 feet above the ground, with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is v (t )equals 96 minus 32 t feet per second. a) Find s(t), the function giving the height of the ball at time t. b) How long will the ball take to reach the ground? c) How high will the ball go? draw the graph of linear equation 5y = 3x + 18 on a cartesian plane. From the graph check weather (-2,4) is the solution of the linear equation or not PLS URGENT ANSWER What makes the value of x makes the equation true? [tex]7x = 80 + 9x[/tex] What is the equation of a circle with center (-4,7) and a radius 6 Food microbiologists are scientists who have a background in both microbiology and food science. They focus on how microbes grow, cause disease, and how they can be identified from food. Their work is of importance to the food industry as it relates to the production, preservation, and spoilage of food; and it is of importance to public health and regulatory agencies due to the many diseases that are related to food intake and consumption. Food microbiologists can have varying backgrounds, including training in veterinary medicine. This scenario is about a food microbiologist who works as a food safety inspector who pays a visit to a cheese manufacturing plant and makes some interesting discoveries!Part A-Understanding the Role of Microbes in Fermentation The Midwest is known for its contribution to the dairy industry Fermented dairy products include milk, yogurt, and cheese. The fermentation process relies on lactic acid bacteria and pasteurization. Fermentation can vary based on what food is being produced, the type of bacteria used to produce lactic acid, and the time and temperature of pasteurization. It is important to the manufacturer to produce a product that won't spoil before it is packaged and sold and that won't result in disease for those who ingest and enjoy it. Julie, a food inspector for a local Michigan health department is going to a nearby cheese plant for a biannual inspection. When she gets there, she will take a tour of the plant and allow the operators to describe what makes their cheese so special. She will use what she understands about fermentation to inquire about their production practices Please sort the following statements as being true or false regarding fermentation and its role in food production. Please recall the role that microorganisms can play in the production of foods. 1. Fermentation allows for sugars to be broken down 2. Starter cutures are for the growth of pathogens or the food such as bread, vegetables, and n food Some grains, fruits, and 3. Fermentation can be used only to Bacteria ane the only have their own microbes that used in the Correct Statements By using ____, you can use reasonable, easy-to-remember names for methods and concentrate on their purpose rather than on memorizing different method names.