Nolynn mixes 4 3/4 cups of water with 2/3 cup of lemonade concentrate. How many cups of
water did Nolynn mix per cup of lemonade concentrate?

Answer:

SF= 2

Step-by-step explanation:

Side AB had the legnth of 4

the congruent side of EF has a length of 8

therefore the original shape doubled in size

(4x2=8)

Answer:

1st one: 7920   second: 792

Step-by-step explanation:

First way: you can use a calculator and plug in the values

Second way: you can use the formula for combination and permutation.

Permutation: 11!/ (11-4)!

Combination:12!/(12-5)!*5!

NOTE THAT: 5!= 5*4*3*2*1

Answer:

192

Step-by-step explanation:

As given  Ratio=2, a=6

tn=ar^n-1

t6=6.(2)^5

t6=6.32

t6=192

The distance between Blueville from Greentown is found to be 71.35 miles.

We can solve this problem by using the Pythagorean theorem. Let x be the distance between Blueville and Greentown. Then, we have a right triangle with, one leg of length x (the distance between Blueville and Greentown) another leg of length 141 miles (the distance between Blueville and Yellowsburg) and a hypotenuse of length 158 miles (the distance between Greentown and Yellowsburg)

From Pythagorean theorem, we have,

x² + 141² = 158²

Simplifying and solving for x, we get:

x² + 19881 = 24964

x² = 5083

x ≈ 71.35

Hence, Blueville is approximately 71.35 miles from Greentown.

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Answer:

71miles

Step-by-step explanation:

Terra is correct. In order for a relationship to be a function, each input value must result in only one input.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is often represented as y = f. (x).

We know that for a function each input value must result in a unique output value. Terra claims this statement, and hence she is correct.

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Answer:

I think 2,6

Step-by-step explanation: X5

Answer:

Step-by-step explanation:

(-75) x173+173x(-25)

173(-75-25)

173(-100)

-17300

Step-by-step explanation:

A. Each point in the image has the same x-coordinate as the corresponding point

in the figure.

D. Each point in the image moves the same distance and direction from the

figure.

These two statements are true about a figure and an image created by a translation. When a figure is translated, every point in the figure is moved the same distance and direction. This means that each point in the image has moved the same way as its corresponding point in the figure. Additionally, since a translation only involves moving a figure without changing its shape or size, the image and figure are the same shape and size, but just in different positions. As such, statement B and C are not true for figures and images created by translation.

To graph the image G'R'A'M', we need to add 10 to each x-coordinate and subtract 2 from each y-coordinate:

G': (-9+10, -9-2) = (1,-11)

R': (-8+10, -6-2) = (2,-8)

A': (-4+10, -6-2) = (6,-8)

M': (-5+10, -9-2) = (5,-11)

Graphing these points and connecting them gives us parallelogram G'R'A'M'.

Answer:

1000

Step-by-step explanation:

The closest 1000 to 598 is 1000.

Answer:

D: 0 < y < 7

Step-by-step explanation:

The domain is the input (i.e. the x values)

The range is the output (i.e. the y values)

So for the range, look at the y-coordinates of the end points of the line: (-6, 0) and (9, 7)  ⇒  0 < y < 7

Answer:

y = 2x + 40

Step-by-step explanation:

brainliest plz

Answer:

Exam score

Step-by-step explanation:

The response variable also known as the d pendent variable, is simply the variable we intend to measure based in a set of variables (independent variables or explanatory variables) which might cause it to change. For instance, the scenario above aims to look into how a certain relaxation method will affect the exam score, here, the variable we intend to measure is the response variable which is exam score. The exam score is affected by the impact the relaxation method has on the student, hence, the relaxation method is the independent or explanatory variable.

the speed and direction of the child relative to the surface of the water. 6.04. m/h

It implies that every object's motion is characterized in relation to Earth's motion. It implies that the motion of every item is explained in relation to every other object's motion. Motion is therefore independent of the frame of reference.

The child is walking East and the ship is moving north.

The relative motion of the child to the water is found using vector addition.

This means the speed of the child to the water is

N= √4^2 + √5^2

  =✓16+25

  =✓41

 =6.04 m/h

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The coefficients obtained by the student may be less efficient and have larger standard errors compared to the professor's regression.

If the student enters each observation twice, resulting in a sample size of 100 instead of the original 50, the assumption of independent observations is violated in Ordinary Least Squares (OLS) regression. The OLS assumption assumes that the observations are independent, meaning that the value of one observation does not depend on the value of another observation.

In this case, the student's dataset contains repeated observations, which introduces dependence between observations. This violation of the independence assumption can lead to biased and inconsistent parameter estimates in the regression analysis.

Regarding the slope coefficients, if the student runs a regression using the duplicated data, the estimated coefficients may be different from the professor's regression. The duplication of observations inflates the sample size, potentially affecting the precision and accuracy of the estimates.

However, the direction and overall relationship between the variables may still be captured by the student's regression, although the estimates may not be as reliable.

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Hi :)

Equation : \(\sf{8x-13=11}\)

First Add 13 to both sides

\(\sf{8x=24}\)

The second step is to divide both sides by 8

\(\sf{x=3}\)

We have our answer

Learn more;work harder

Answer:

y = 30.555 and x = 19.444

Step-by-step explanation:

We are given:

x + y = 50 and

x / y = 7/11

use substitution taking

x + y = 50

x = 50 - y

then

x / y = 7/11 and from above substitute for x

(50 - y)/ y = 7/11

(50 - y) = 7y/11

11(50 - y) = 7y

550 - 11y = 7y

550 = 18y

y = 550/18 = 30.555 so

x + y = 50

x = 50 - y

x = 50 - 30.555 = 19.444

Answer:

12 miles i think

Step-by-step explanation:

Because if you divide 48 by 4 it will equal to 12

Answer:

y=1/2x-5

Step-by-step explanation:

From the picture you can see that (0, -5) is a point on the function and that (2, -4) is another point. Using these you can find the slope of the function with the equation

\((y_{2} -y_{1})/(x_{2}-x_{1} )\)

We can substitute in the points so it looks like

\((-4--5)/(2-0)\)  or  \(1/2\) which is the slope of the function

Now, since the y-intercept is (0, -5) on the graph, the b part in the slope-intercept form of the equation would be -5, leaving us with the equation y=1/2x-5

A regular hexagon can be divided into six equilateral triangles by drawing lines from the center of the hexagon to each of its vertices.

Each of these equilateral triangles has an area that is one-sixth of the total area of the regular hexagon.

When the midpoints of the sides of the regular hexagon are joined to form a smaller regular hexagon, it can be seen that the smaller hexagon is made up of six equilateral triangles, each of which has half the area of the equilateral triangles in the larger hexagon. This is because the sides of the smaller hexagon are half the length of the sides of the larger hexagon.

Therefore, the fraction of the area of the larger hexagon that is enclosed by the smaller hexagon is:

\(6 * (1/2)^2 = 6 * 1/4 = 3/2\)

This means that the smaller hexagon encloses 3/2 of the area of the larger hexagon.

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Answer:

3

Step-by-step explanation:

3 is only number in the set that satisfies the inequality( which is less than 5 )

Answer:

28.13 cm

Step-by-step explanation:

The first step we need to do is create the segment AC.

Then, we can find its length using the law of cosines in the triangle ABC:

b^2 = a^2 + c^2 - 2*a*c*cos(B)

b^2 = 8^2 + 6^2 - 2*8*6*cos(95)

b^2 = 64 + 36 - 96*(-0.0872)

b^2 = 108.37

b = 10.41 cm

Then, in the triangle ADC, we can use the Pythagoras' theorem to find the length of DC:

DC^2 + DA^2 = AC^2

DC^2 + 25 = 108.37

DC^2 = 83.37

DC = 9.13 cm

So the perimeter of ABCD is:

Perimeter = AB + BC + CD + DA

Perimeter = 6 + 8 + 9.13 + 5 = 28.13 cm

Answer:

The perimeter of the shape is 28.13 cm

Step-by-step explanation:

First of all, we will have to draw a line from point A to point C. This will divide the shape into two parts, both of which are triangles.

We will use the dimensions of the newly formed triangle ABC to get the side AC.

The cosine formula will be apt for this purpose:

\(AC^{2}=AB^{2}+BC^{2}-(2 \times AB\times BC\times cos \theta)\)

\(AC^{2}=6^{2}+8^{2}-(2 \times 6\times 8\times cos( 95))=108.37\)

\(AC=\sqrt{108.37}=10.41 cm\)

Now we have AC as 10.41 cm,

we can see that AC forms the hypothenuse of the right-angled triangle ADC.

From Pythagoras' theorem,  DC can be calculated as

\(DC =\sqrt{AC^{2}- AD^{2}}\)

\(DC =\sqrt{10.41^{2}- 5^{2}}= 9.13 cm\)

Therefore the perimeter of the shape is 8 + 5 + 9.13 + 6 =28.13 cm

The perimeter of the shape is 28.13 cm

Answer:

Below

Step-by-step explanation:

4%  /12  = .33 % per period

  periods per year = 12

  money is compounded each month for 12 years = 144 times

When a circle is inscribed in a semicircle, the diameter of the circle is equal to the radius of the semicircle. So, the diameter of the circle in this case is equal to 4.

Let O be the center of the circle and A, B, C be three points of intersection between the circle and the semicircle.   Area of the shaded region = (Area of the semicircle) - (Area of the circle) - (Area of ΔABC)Area of the semicircle with radius 2 = (1/2)π(2)² = 2πArea of the circle with diameter 4 = π(2²) = 4π Side of triangle ΔABC = 2, Radius of the circle = 2. The height of the triangle is equal to the radius of the circle, i.e., 2. Therefore, ΔABC is an equilateral triangle with a side of length 2. Area of an equilateral triangle with side s = (s²√3)/4. Area of the equilateral triangle ΔABC = (2²√3)/4 = √3The area of the shaded region = 2π - 4π - √3 = 2π - 4π/3 = 2π/3. Fraction of the semicircle's area that is shaded = Shaded area / Total area of the semicircle= (2π/3)/ (2π)= 1/3Therefore, the fraction of the semicircle's area that is shaded is 1/3. Answer: (D) 2/3.

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Perimeter of a semi circle = ñr + d(2r),ñ=22/7,r=?, d=2r

54=22/7 × r +2r

54=3.142r +2r

54=5.142r

r=54/5.142

r=10.5

d=2r

d=2×10.5017

d=21.00cm

The fish has a final position of + 2 meters.

In this problem we find the initial position of the fish (s), in meters, and its change (Δs), in meters. The final position (s'), in meters, of the fish is found by means of the following difference equation:

s' = s + Δs

If we know that s = - 9 m and Δs = - 11 m, then the final position of the fish is:

s' = - 9 m + 11 m

s' = + 2 m

The final position of the fish is equal to + 2 meters.

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If Connie read 12 more pages than Eric, Nan read 3 times as many pages as Connie and  Nan read 57 pages, then equation for the number of pages Eric read is 7.

Let's start by assigning a variable to represent the number of pages Eric read. Let's call it "E".

From the first sentence, we know that Connie read 12 more pages than Eric. We can represent this as "C = E + 12", where "C" represents the number of pages Connie read.

Next, we're told that Nan read 3 times as many pages as Connie. We know that Nan read 57 pages, so we can set up an equation to represent this:

57 = 3C

Now, we can substitute the first equation (C = E + 12) into the second equation:

57 = 3(E + 12)

Simplifying this equation, we get:

57 = 3E + 36

Subtracting 36 from both sides, we get:

21 = 3E

Dividing both sides by 3, we get:

E = 7

Therefore, Eric read 7 pages.

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The different ways to choose the ones digit A are:

- A can be any digit if the sum of the first 6 digits is divisible by 3.
- A can be 2, 5, or 8 if the sum of the first 6 digits leaves a remainder of 1 when divided by 3.
- A can be 1, 4, 7, or 0 if the sum of the first 6 digits leaves a remainder of 2 when divided by 3.

To determine if a number is divisible by 3, we can add up the digits and check if the sum is divisible by 3. For the number 572435A, the sum of the first 6 digits is 5 + 7 + 2 + 4 + 3 + 5 = 26. We need to add a number A to this sum to make it divisible by 3.

There are three possible scenarios to make the sum divisible by 3:

1. If the sum of the first 6 digits is already divisible by 3, then any digit A can be added to the end to make the number divisible by 3. In this case, the sum of the first 7 digits will also be divisible by 3.

2. If the sum of the first 6 digits leaves a remainder of 1 when divided by 3, then A must be 2, 5, or 8. Adding any other digit to the end will result in a sum that is not divisible by 3. In this case, adding 2, 5, or 8 to the end of the number will result in a sum of digits that is divisible by 3.

3. If the sum of the first 6 digits leaves a remainder of 2 when divided by 3, then A must be 1, 4, 7, or 0. Adding any other digit to the end will result in a sum that is not divisible by 3. In this case, adding 1, 4, 7, or 0 to the end of the number will result in a sum of digits that is divisible by 3.

Therefore, the different ways to choose the ones digit A in the number 572435A so that the number will be divisible by 3 are:

- A can be any digit if the sum of the first 6 digits is divisible by 3.
- A can be 2, 5, or 8 if the sum of the first 6 digits leaves a remainder of 1 when divided by 3.
- A can be 1, 4, 7, or 0 if the sum of the first 6 digits leaves a remainder of 2 when divided by 3.

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The solution to the linear programming problem 0.3x₁ + 0.1x₂ ≤ 1.8 using the simplex method shows that the problem has optimal solutions.)

Convert the inequality into an equation by subtracting 1.8 from both sides:
0.3x₁ + 0.1x₂ - 1.8 ≤ 0

Introduce slack variables to convert the inequality into an equation:
0.3x₁ + 0.1x₂ + s₁ = 1.8

Set up the initial simplex tableau:

┌───┬───┬───┬───┬───┐
│   │ x₁ │ x₂ │ s₁ │  1│
├───┼───┼───┼───┼───┤
│  1│ 0.3│ 0.1│  1  │1.8│
└───┴───┴───┴───┴───┘
```

Select the pivot column. Choose the column with the most negative coefficient in the bottom row. In this case, it is the second column (x₂).

Select the pivot row. Divide the numbers in the rightmost column (1.8) by the corresponding numbers in the pivot column (0.1) and choose the smallest positive ratio. In this case, the smallest positive ratio is 1.8/0.1 = 18. So the pivot row is the first row.


The simplex method is an iterative procedure that systematically improves the solution to a linear programming problem. It starts with an initial feasible solution and continues to find a better feasible solution until an optimal solution is obtained. In each iteration, the simplex method selects a pivot column and a pivot row to perform row operations, which transform the current tableau into a new tableau with improved objective function values. The process continues until the objective function values cannot be further improved or the linear programming problem is unbounded.

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The correct answer is

0.3x1+0.1x2≤2.7→0.3x1+0.1x2≤1.8 Work Through The Simplex Method Step By Step. How The Solution Changes (I.E., LP Has Optimal