Casper has some whipping cream that is 18\%18%18, percent butterfat and some milk that is 4\%4%4, percent butterfat. He wants to make a 500\,\text{mL}500mL500, start text, m, L, end text mixture of them that is 12\%12%12, percent butterfat.

Answer:
CORRECT (SELECTED)
The mixture has less than the intended volume and has more than the intended percent of butterfat.

Explanation: Point LLL is above line aaa, so it represents a scenario where the mixture has more than 12\%12%12, percent butterfat. Also, point LLL is below line bbb, so it represents a scenario where the mixture has a volume of less than 500 \,\text{mL}500mL500, start text, m, L, end text.

Answers

Answer 1

Option B. The correct answer to this question is that The mixture has less than the intended volume and has more than the intended percent of butterfat.

How to interpret the graph

From the graph that we have here, the point L is under the blue line of the graph.

x + y = 500

From here we have

0.18x + 0.04y = 500(0.12)

Continuing on trhe graph the solution is given as x = 285.7 and y = 214.3

From the explanation here we can conclude that option B is correct.

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Casper Has Some Whipping Cream That Is 18\%18%18, Percent Butterfat And Some Milk That Is 4\%4%4, Percent
Casper Has Some Whipping Cream That Is 18\%18%18, Percent Butterfat And Some Milk That Is 4\%4%4, Percent
Answer 2

Answer:

The mixture has the intended volume and has more than the intended percent of butterfat.

Step-by-step explanation:


Related Questions

Drag each tile to the correct box. The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below. A graph represents the water level to fill the tank on Y-axis per time on X-axis. Segments A, B, and C fill the tank from 10 to 60, 60 to 80, and 80 to 110 centimeters in the first 2, next 4, and last 3 minutes. Place the segments in the correct order from the least to the greatest rate of increase in the water level. B A C

Answers

The least to greatest slope, the segments are B, C, and A.

We have given that,

The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below.

A graph represents the water level to fill the tank on Y-axis per time on X-axis.

The rate of increase of water level is indicated by the slope of the segment. The slope is the ratio of rise to run, and is related to the angle the segment makes with the +x axis.

Segments that have more rise for the same run have greater slope. Segments that make a larger reference angle with the +x axis have a larger slope.

Here, segment B has the least slope, followed by C, then A, which has the largest slope.

In order, the least to greatest slope, the segments are B, C, and A.

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Answer: bca

Step-by-step explanation:

B C A

Help please
This diagram shows the measurements of a yard.
What is the area of the yard?
Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

we can break up the figure into 2 rectangles by extending the 8m side downward until it meets the bottom (see image)

Area of this rectangle = 10 * 2 =20 sq meters

Area of the other rectangle = 8 *2 = 16 sq meters

Total area = 36 sq meters

What is the solution to this equation?
-1/5(x+1 1/4)=-2 1/2

Answers

Answer:

О  x = 10 3/4

[tex]x = 10\frac{3}{4}[/tex]

Step-by-step explanation:

-1/5 ( x + 1 3/4) = -2 1/2

Particularly:

1 3/4 = 1 + 3/4 = 4/4 + 3/4 = 7/4

-2 1/2 = -2 - 1/2 = -4/2 - 1/2 = -5/2

Then:

-1/5 (x + 7/4) = -5/2

(x*-1/5 + 7/4*-1/5) = -5/2

(-x/5 + ((7*-1) / (4*5))) = -5/2

-x/5 + (-7/20) = -5/2

-x/5 - 7/20 = -5/2

-4x/20 - 7/20 = -50/20

-4x - 7 = -50

-4x =  -50  + 7

-4x = -43

x = -43/-4

x = 43/4

43/4 = 40/4 + 3/4 = 10 + 3/4 = 10 3/4

The sets A and I are defined as follows: A={−2,−1,0,1,7} I= {−2,−1,1,2,8}. Find the intersection of A and I.

Answers

The intersection of A and I are {-2, -1, 1}

How to determine the intersection?

The sets are given as;

A={−2,−1,0,1,7} I= {−2,−1,1,2,8}

The intersection of A and I are the common elements in both sets

The common elements in both sets -2, -1 and 1

This means that:

A n I = {-2, -1, 1}

Hence, the intersection of A and I are {-2, -1, 1}

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assuming that the series will continue in the same pattern the next number in the series 3,5,11,29... is

Answers

Notice that

5 - 3 = 2

11 - 5 = 6

29 - 11 = 18

and these differences form a geometric sequence,

{2, 6, 18, ...} = {2×3⁰, 2×3, 2×3², ...}

so a reasonable guess for the next number in the sequence might be 2×3³ = 54.

The sequence might be 2×3^3^3 = 54.

We notice that 5 - 3 = 2

11 - 5 = 6

29 - 11 = 18

and these differences form a geometric sequence,

What is the geometric sequence?

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.

{2, 6, 18, ...} = {2×3^0, 2×3^1, 2×3^3, ...}

So the next number in the sequence might be 2×3^3 = 54.

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Question
You want to find the area of the front of a house, whose shape is a triangle on top of a rectangle with
a width of 8. The triangle's height is 7 and the rectangle's height is 10. What is the total area of the
front of the house? Do not include units in your answer.

Answers

Answer:

108

Step-by-step explanation:

if the width of the rectangle is 8, and the triangle is on the width of the rectangle, then the base of the rectangle is 8. the height is 7, so we use the formula area = height * base / 2 to find that the area of the triangular portion is 28. then, we find the area of the rectangle by doing 10 * 8(height * width) for a value of 80. the total area of the front of the house is 28 + 80: 108.

5. It is reported that 20% of Canadian are on CERB (Canada Emergency Response Benefit). In order to further investigate this topic, a researcher selects a random sample of 10 Canadian across the country. Assuming that this is a proper Binomial experiment, what is the probability that at least 3 Canadian are on CERB in the sample? [3 Marks]. 5. It is reported that 20 % of Canadian are on CERB ( Canada Emergency Response Benefit ) . In order to further investigate this topic , a researcher selects a random sample of 10 Canadian across the country . Assuming that this is a proper Binomial experiment , what is the probability that at least 3 Canadian are on CERB in the sample ? [ 3 Marks ] .​

Answers

Using the binomial distribution, it is found that there is a 0.3222 = 32.22% probability that at least 3 Canadian are on CERB in the sample.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

The values of the parameters are:

n = 10, p = 0.2.

The probability that at least 3 Canadian are on CERB in the sample is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]

[tex]P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684[/tex]

[tex]P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020[/tex]

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2684 + 0.3020 = 0.6778.

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6778 = 0.3222[/tex]

0.3222 = 32.22% probability that at least 3 Canadian are on CERB in the sample.

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Energy Drinks: Popular energy drinks contain green tea extract and caffeine. Do these energy drinks help you lose weight by increasing your metabolism? Researchers at a medical school designed an experiment to determine the chemical effects of green tea and caffeine on energy metabolism in healthy, lean, young adults. Researchers randomly assigned participants to 2 treatments. One group drank Formula A, a beverage with green tea and caffeine. The other group drank Formula B, a beverage with none of these ingredients but colored to look like Formula A. The beverages were blinded at the production site, so the experiment was double-blind. The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers fed each participant the same diet. On the 3rd day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. Which confounding variable is controlled by randomly assigning individuals to treatments? the effect of green tea and caffeine on energy metabolism the effect of green tea and caffeine on energy metabolism the physical fitness level of the participants the physical fitness level of the participants the time of day participants drank the beverages the time of day participants drank the beverages

Answers

The confounding variable which is controlled by randomly assigning individuals to treatments is: C. the time of day participants drank the beverages.

What is a confounding variable?

A confounding variable is also referred to as a confounder and it can be defined as a type of variable that has the ability to influence both the independent and dependent variables.

Also, a confounding variable is usually not accounted for by the researcher and as such it can cause a spurious association between the independent and dependent variables.

In this context, we can infer and logically deduce that the time of day at which participants drank the beverages is a confounding variable which is controlled by randomly assigning individuals to treatments.

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Question 1- Whats the derivative of: A) f(x)= 4 cos(x) + ln(x+1)
B) f(x)= sec(x) X tg(x)

Answers

The derivatives for this problem are given as follows:

a) [tex]f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}[/tex]

b) [tex]f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}[/tex].

What is the derivative of the sum?

The derivative of the sum is the sum of the derivatives.

In this problem, the function is:

[tex]f(x) = 4\cos{x} + \ln{(x + 1)}[/tex]

Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:

[tex]f^{\prime}(x) = (4\cos{x})^{\prime} + (\ln{(x + 1)})^{\prime}[/tex]

[tex]f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}[/tex]

What is the product rule?

The derivative of the product is given as follows:

[tex](f(x) \times g(x))^{\prime} = f^{\prime}(x)g(x) + g^{\prime}(x)f(x)[/tex]

In this problem, we have that:

[tex]f(x) = \sec{x}, f^{\prime}(x) = \sec{x}\tan{x}[/tex].[tex]g(x) = \tan{x}, f^{\prime}(x) = \sec^2{x}[/tex].

Hence the derivative is:

[tex]f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}[/tex].

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Cheryl invested $1000 on Monday.Each day after that the stock increased 1% of its original value.On Wednesday she was charged an administrative fee of $10. Graph the value of the stock account at the end of each day

Answers

The value of the stock account at the end of each day is  mathematically given as

x=1010$.

What is the value of the stock account at the end of each day?

Generally, The price of the stock would have climbed by 1000 points, which is equal to 0.1 times 1000, or 10 dollars.

Therefore, the price of the stock would be 1010 dollars plus 10 dollars, which is 1020 dollars.

In conclusion, Cheryl was required to pay a ten dollar administrative fee, and this cost would be deducted from the stock price.

Following this logic, the price of the stock would be

x=1020-10

x=1010$.

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Interpreting a Line of Best Fit
Use the graph and equation to answer the question.

A graph with number of visitors on the x-axis and amount of money on the y-axis. A trend line has equation y = 7.48 x + 2,245.21.

The graph includes ordered pairs displaying the relationship between the number of visitors at a museum during regular hours in a day (x) and the amount of money the museum collects during the given day (y).
The slope indicates that the museum

for every additional
, and the y-intercept could represent the daily average
.

Answers

Answer: A, C, C.

100%

Step-by-step explanation:

Find the perimeter of the rectangle.

Answers

Answer:

10x² + 8x + 22

Step-by-step explanation:

The perimeter of a rectangle is the measurements of all four side lengths added together

(you can simply multiply both side lengths by 2, because they are the same on both sides--but I'll write them all out for clarity)

side A (top): 5x² + 3x + 7

side B (right): x + 4

side C (bottom): 5x² + 3x + 7

side D (left): x + 4

perimeter = side A + side B + side C + side D

5x² + 3x + 7 + x + 4 + 5x² + 3x + 7 + x + 4

now, as you might have noticed, this is a long equation

so, we must combine like terms:

(this is the problem reordered so like terms are next to each other:)

(5x² + 5x²) + (3x + x + 3x + x) + (7 + 4 + 7 + 4)

10x² + 8x + 22

So, the perimeter of this rectangle is 10x² + 8x + 22

hope this helps! have a lovely day :)

solve for x: x = 0.7x + 24

Answers

Answer:

x=80

Step-by-step explanation:

x=0.7x+24

We move all terms to the left:

x-(0.7x+24)=0

We get rid of parentheses

x-0.7x-24=0

We add all the numbers together, and all the variables

0.3x-24=0

We move all terms containing x to the left, all other terms to the right

0.3x=24

x=24/0.3

x=80

Answer:

x = 80

Step-by-step explanation:

We are given the following equation.

x = 0.7x + 24

And we want to solve it for x.

For these kinds of equations, the way to solve for x is to isolate x on one side.

Because we have terms with x on both sides of the equation, we need to remove it from one side.

It's a good idea to remove x from the right side, as we also have our numbers on that side. If we move it to the left side, there aren't any numbers there, so we can more easily solve this equation.

Here is our equation again:

x = 0.7x + 24

Subtract 0.7x from both sides.

x = 0.7x + 24

-0.7x -0.7x

______________________

0.3x = 24

Now, we have variables on one side, and numbers on the other, but we aren't done yet.

Remember that we are solving for x, not 0.3x. (When x is written by itself, it is the same as 1x).

So, in order to find the value of 1x, we need to divide both sides by 0.3, as when a number is divided by itself, the value is 1. If there is a variable, the value will be 1*that variable (e.g. 1n, or n)

**Note that we don't divide by 0.3x, as if we did that, the left side would equal just 1, not 1x.

So, let's divide both sides by 0.3.

0.3x = 24

÷0.3   ÷0.3

__________

x = 80

Topic: solving linear equations

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Can you prove this statement using properties of logarithms? Assume all expressions exist
and are well-defined
3 log y z^9= log y z^27

Answers

Answer:

see below

Step-by-step explanation:

what 3 logy z^9 means you need to break it into two pieces, one log y z^9 means to find the exponent of y, and you can think z^9 as a number, and then if we multiple it with 3, which means three logs are summed,(the property of multiplication:3*2 means 2+2+2), thus log + log

has the property that the y is same z^9*z^9*z^9=z^(9+9+9)=z^27

how can -6 divide by 4 x=12 be solved in one step

Answers

Here are the solving steps for the problem.

   Given:

[tex]\displaystyle \frac{-6}{4x}=12[/tex]

    [1] Multiply both sides of the equation by 4x:

[tex]\displaystyle 4x(\frac{-6}{4x})=(12)4x[/tex]

-6 = 48x

    [2] Divide both sides of the equation by 48:

[tex]\displaystyle \frac{-6}{48} = \frac{48x}{48}[/tex]

[tex]\displaystyle x=-\frac{1}{8}[/tex]

I am not sure how to solve the equation in one step, so here is it in two steps. My apologies.

Answer:

[tex] - \frac{1}{8} [/tex]

Step-by-step explanation:

The Algebraic Equation -6 divide by 4x = 12 can be stated mathematically as :

[tex] \frac{ - 6}{4x} = 12 \\ \\ cross \: multiplying \\ \\ 4x \: \times 12 = - 6 \\ \\ 48x = - 6 \\ dividing \: bothsides \: by \: 48 \\ \frac{48x}{48} = \frac{ - 6}{48} \\ \\ x = - \frac{1}{8} [/tex]

2.5.2 project performance task:trade show booth

Answers

The booth space and the product brochures are less than $3000 hence the equation of inequality will be  B + P ≤ $ 3000.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Let the booth space be B and the product brochures be P.

Then the equation of inequality will be  

B + P ≤ $ 3000

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Complete question:

2.5.2 Project: A Trade Show Booth

The Scenario: Your manager has asked you to help plan your company's participation at a local trade show. You have $3000 to spend on the booth space and product brochures. Use what you know about solving inequalities to prepare the inequality that meets the budget.

Need help regarding radioactive decay type of question

Answers

By applying the radioactive simple decay model, we find that the initial quantity of the radioactive isotope is equal to approximately 5.63 grams.

How to determine the initial mass of a radioactive isotope

Mass of radioactive isotopes (m (t)), in grams, decay exponentially in time according to the following model:

[tex]m(t) = m_{o}\cdot e^{-t/\tau}[/tex]     (1)

Where:

[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in yearsτ - Time constant, in years

The time constant can be found in terms of half-life:

τ = t'/㏑ 2

If we know that t' = 24100 yr, t = 1000 yr and m(t) = 5.4 g, then the initial mass of the radioactive isotope is:

τ = 24100 yr/㏑ 2

τ ≈ 34768.95 yr

[tex]5.4 = m_{o}\cdot e^{-1000/24100}[/tex]

[tex]m_{o} = 5.629\,g[/tex]

By applying the radioactive simple decay model, we find that the initial quantity of the radioactive isotope is equal to approximately 5.63 grams.

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Which measures are true for the quilt piece? select three options. a = 60° x = 3 in. the perimeter of the rhombus is 16 inches. the measure of the greater interior angle of the rhombus is 90°. the length of the longer diagonal is approximately 7 inches.

Answers

The measures that are true for the quilt piece include:

a=. = 60°The perimeter of the rhombus is 16 inches.The length of the longer diagonal is 7 inches.

How to depict the information?

The value of a will be:

= 90° - 30°

= 60°

The perimeter will be:

= 4 × 4

= 16 inches.

The length of the diagonal will be:

= 2 × 3.46

= 6.92 = 7

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The transportation department has to put a railing along the outer curve of this road. The road is 20 feet wide. What is the length of the outer curve to the nearest foot? Use the value

Answers

Using the arc length formula, the length of the outer curve is approximately 85 feet.

How to Find the Length of an Arc?

Arc length = ∅/360 × 2πr.

Apply the arc length formula to find the length of the outer curve, given the following:

∅ = 70°π = 3.14r = 50 + 20 = 70 feet

Plug in the values

Arc length = 70/360 × 2(3.14)(70)

Arc length = 70/360 × 2(3.14)(70) ≈ 85 feet.

The length of the outer curve is approximately 85 feet.

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Drag each equation to the correct location on the table. Determine which equations will result in extraneous solutions.

Answers

Answer:

extraneous: 2, 5, 7

not: 1, 3, 4, 6, 8

Step-by-step explanation:

ones that have root of an even number and equal a negative are extraneous

What is 8/9 divided by 2/3

Answers

Use it the way I solved in the picture you will understand much better

If P= (-6,4) find Ry= -x (P)

Answers

The value of Ry= -x (P) is P' = (4, 6)

How to determine the transformation?

The point is given as:

P = (-6, 4)

The transformation Ry= -x (P) means tha:

(x, y) = (y, -x)

So, we have:

P' = (4, 6)

Hence, the value of Ry= -x (P) is P' = (4, 6)

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Find the height of a triangle with an area (A) of 42 square inches and
base (b) of 7 inches. Use the formula for the area of a triangle,

588 inches
147 inches
3 inches
12 inches

Answers

Answer:

147

Step-by-step explanation:

start by multiplying 42 and 7=294

now divide that by 1/2 =147

Please help answering this question

Answers

Answer:

DF = 3

Step-by-step explanation:

BC = DF

Which mean D is (0,2) and F is (3,2)

Here, this is clear that y-intercept is 2

DF = D(x) + F(x) = 0 +3 = 3

What is the explicit formula for this sequence? -7, -3, 1, 5, ...

Answers

Hello,

What is the explicit formula for this sequence? -7, -3, 1, 5, ... ?

Aₙ₊₁ = Aₙ + 4 and A₀ = -7

⇒ Aₙ = A₀ + nr = -7 + 4n

Find the
quotient for 12 2/5 / 1/4

Answers

[tex]12 \frac{2}{5}=\frac{62}{5}\\\\\frac{62/5}{1/4}=4\left(\frac{62}{5} \right)=\frac{248}{5}=\boxed{49 \frac{3}{5}}[/tex]

14,246 is invested, part at 13% and the rest at 12%. If the interest earned from the amount invested at 13% exceeds the interest earned from the amount invested at 12% by $318.23, how much is invested at each rate? (Round to two decimal places if necessary

Answers

The amount of money invested at 13% was $8111, while $6135 was invested at 12%.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount invested at 13% and y represent the amount invested at 12%, hence:

x +  y = 14246   (1)

Also:

0.13x = 0.12y + 318.23  (2)

Hence:

x = 8111, y = 6135

The amount of money invested at 13% was $8111, while $6135 was invested at 12%.

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5m-8=2m+2

what does m equal

Answers

Answer:

m = 10/3

(as a decimal: m = 3.333...)

Step-by-step explanation:

5m - 8 = 2m + 2

 5m - 8 = 2m + 2

- 2m       - 2m              (make all "m" on one side to isolate variable)

 3m - 8 = 2    

      + 8 + 8              (get m entirely on 1 side)

3m = 10

÷3      ÷3                         (divide by 3 to get 1m)

m = 10/3

(as a decimal: m = 3.333...)

hope this helps!! have a lovely day :)

The sum of three numbers 157. The third number is 7 less than the firstThe second number is 4 times the third What are the numbers?

Answers

Step-by-step explanation:

Let the first number be = x

Let the second number be = 4x -28

Let the third = x-7

x + 4x+ x -28 - 7

6x - 35

6x -35 = 157

6x = 157 +35

6x = 192

x = 32

therefore, x = 32, the second x = 4(32) -28

728 - 28

x = 100

third x = 32 - 7

x = 25.

WILL MARK BRAINLIEST

Answers

Answer: constant of proportionality = 0.75

How to find constant of proportionality?

Constant of proportionality is the same as the slope of a straight line.

Slope formula is given by:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here take two points: (0, 0), (4, 3)

[tex]So, \sf \ slope : \dfrac{3-0}{4-0} = \dfrac{3}{4} \quad or \quad 0.75[/tex]

Hence, the constant of proportionality is 0.75

Answer:

Constant of proportionality = 0.75

Step-by-step explanation:

To find the constant of proportionality of a graph that goes through the origin:

• First select a point on the graph whose coordinates you can easily read; in this case such a point is already marked (4, 3).

• Next, simply divide the y-value by the x-value of the coordinates to find the constant of proportionality:

Constant of proportionality = y ÷ x

                                              3 ÷ 4

                                             ⇒ 0.75

Other Questions
Read the excerpt from Enriques Journey.He was five years old when his mother left him. Now he is almost another person. In the window glass, he sees a battered young man, scrawny and disfigured.It angers him, and it steels his determination to push northward.Read the excerpt from "Children of the Drug Wars."Children from Central America have been making that journey, often without their parents, for two decades. But lately something has changed, and the predictable flow has turned into an exodus. Three years ago, about 6,800 children were detained by United States immigration authorities and placed in federal custody; this year, as many as 90,000 children are expected to be picked up. In which industry were the HUAC investigations most famous? A. Banking B. Entertainment C. Agricultural D. Education Suppose that a plant disease kills all the fruit. The change could become a on the birds? Read the following excerpt from "A Love Song" by William Carlos Williams:What have I to say to youWhen we shall meet?Yet-I lie here thinking of you.The stain of loveIs upon the world.Yellow, yellow, yellow,It eats into the leaves,Smears with saffronThe horned branches that leanHeavilyAgainst a smooth purple sky.How does this excerpt best illustrate Modernist ideals?A. Its speaker has created a fantasy world that only exists in his ownmind.B. Its speaker is surrounded by love that he himself cannot enjoy.C. Its speaker is describing the depressing change from fall to winter.D. Its speaker has never had anyone with whom to share his love. Practice: The table below is a hypothetical election result. Recall the U.S. election system and find the correct numbers in A, B andC.IDemocrat(46%)Republican(45%)Socialist (9%)District 148%50%2%District 275%24%1%District 345.4%45.3%0.8%District 434%33%32%District 530%65%5%ABCElectedHelp!!!! QUESTION 2 1 POINTA sample of a gas has a pressure of 248 mm Hg when the volume is 1.05 L. What is the pressure of the gas when thevolume is 3.98 L? What is the slope of the linear function represented inthe table? Laboratory test show that the lives of light bulbs are normally distributed with a mean of 750 hours in a standard deviation of 75 hours find the probability that a randomly selected light bulb will last between 825 hours and 900 Suppose y varies directly with x. If x is 15 when yis 25, what is x when y is 10? For the following exercises, find the average rate of change of the functions from x = 1 to x =2.24. f(x) = 4x 3 In music theory, a musical chord is named according to its roots, or its first root. by knowing the root of a chord, a musician can find the rest of the notes in a chord. how are the roots of chords similar to roots of polynomial functions? What is a topic sentence? help asap!!!!A. A sentence that is used when writing an outline and is deleted when the paragraph is actually writtenB. The answer to a rhetorical question.C. A sentence that starts a paragraph and sums up what your essays will be about.D. A sentence that starts a paragraph and sums up what the paragraph will be about. BIOGRAPHY / AUTOBIOGRAPHY PROJECT: WHO WOULD YOU PICK FROM YOU TEXT TO BE YOUR MENTOR?INSTRUCTIONSYou will complete a short Biography of a historic person you admire from our class text / time. You will also complete an Autobiography using the same parameters, which are on a TEMPLATE, below. History has been often presented as repeating itself. This tragedy leading to that tragedy, and so on. There has been much of this. However, history is just as much a series of triumphs over those tragedies. It is all in your perspective your identity. Is your identity one of being a victim, or a victor? In this project, you will select an individual one person you admire and examine their life as evidence of their Identity of Power in history. Why do you know them? What were their struggles? How were they similar to your own? How did theirs differ from yours? You will need to include the information below for both you and your chosen history mentor. They are not meant to be long rambling details about the Identity of Power, but are meant instead to be a window into how a famous (or not so famous) person solved a key problem of life experience in history. How did the two lives (yours and theirs) contribute to HUMAN RIGHTS? How did they re-define RACE? What impact did they have on GENDER, and/or how did GENDER roles affect their lives? Discuss them in relation to CLASS. Were they more affected by RACE, GENDER or CLASS? What were their struggles? How were they similar? How did they differ? You will need to include the information below.Give me 2-to-3 focused logical typed pages TOTAL for both the Autobiography and the Biography. Support any and all assertions in your comparisons/contrasts with historical documents (books, articles, etc.). You are your sources. Use no more than one electronic source that does not come from a book/article. Your finished project paper will include a five-source bibliography. Your textbook counts. Spelling and grammar count. Try to fit each Autobiography / Biography onto a single page for each Identity using the guidelines below (between the double lines).============================================================IDENTITY OF POWER TEMPLATE1. Name of the person.2. Birth and death specifics (place, and any distinguishing facts).3. Early formative influences.4. Education formal and informal.5. Adult life.6. What did they do (or, you do now) - what is the economic base?7. Politics8. Relationships and associations.9. Creative life.10. Major accomplishments.11. Historical significance compared to dimensions of complete life i.e., what did they do that you admired, and what are you intending to do? The equation shows cellular respiration. During cellular respiration, glucose combines with oxygen to form carbon dioxide, water, and ATP.CH0+6O. --> 6CO+6HO+ATPWhat happens to the energy in the bonds in glucose?1. The energy is transferred to oxygen2. The energy is transferred to carbon dioxide.3. The energy is transferred to water4. The energy is transferred to ATP Which member of the executive is the state's lawyer, defending the laws and constitution of the State of Texas by representing it in court PLEASE HELP DON'T HAVE A LOT OF TIMEWhat historical time periods or events interest you? If you were to create a work of historical fiction, which era would be the setting? Ancient History? Post-World War II? Colonial times in America? The Middle Ages?Select a time period that interests you and pitch an idea for a story that could occur during that time period. Your story pitch should include a main character, a conflict, and a few specific details about the location of the story. It should also include an explanation of why modern readers would find the story compelling, or how they might relate the characters experience to their own lives. What is Wheatley describing in this couplet? Select the correct answer.Why didGeneral MacArthur leave his station in the Philippines?A.Roosevelt wanted MacArthur to lead a battle over the Midway Islands.MacArthur feared what would happen If he werecaught by the enemy.CMacArthur was called tolead the secondfront in North Africa.D.MacArthur receivedorders from washington directing him to Australia.Resetrlext 8/11 minus negative 1/3 What was Reconstruction??