A dairy farmer wants to mix a 85 % protein supplement and a standard 15 % protein ration to make 1400 pounds of a high-grade 55 %
protein ration. How many pounds of each should he use?

Answers

Answer 1

Answer:

1190lbs | 210lbs

Step-by-step explanation:

0.85*1400 = 1190 | protein supplement

0.15*1400 = 210 | standard protein ration


Related Questions

m= -2​, b 7/2
Enter the equation of the line in​ slope-intercept form.

Answers

slope intercept form:

y=mx+b

m=-2, b=7/2

answer:

y=-2x+7/2

B (-1,6) and d (9,4) midpoint formula

Answers

We have two points and we have to calculate the midpoint.

The coordinates of the midpoint are the average of the coordinates of the two points.

In this case, we have B=(-1, 6) and D=(9, 4), so we can calculate the coordinates of the midpoint M as:

\(x=\frac{x_B+x_D}{2}=\frac{-1+9}{2}=\frac{8}{2}=4\)\(y=\frac{y_B+y_D}{2}=\frac{6+4}{2}=\frac{10}{2}=5\)

So the coordinates of the midpoint between B and D is (4, 5).

We can graph it so we can see it:

B (-1,6) and d (9,4) midpoint formula

Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 27 and 28? Round your
answer to the nearest tenth of a percent.
A. 10.3%
B. 9.3%
C. 11.3%
D
12.13%

Suppose a normal distribution has a mean of 26 and a standard deviation of4. What is the probability

Answers

Answer:

D,p

Step-by-step explanation:

whattttttt ,why is there no option in D

The Probability that a data value is between 27 and 28 is 9.3%.

What is Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 to 1,

Here, mean of the data is 26

P(0 ≤ x - μ ≤ σ/2) = 0.195

P(0 ≤ x - μ ≤ σ/4) = 0.0987

P(σ/4 ≤ x - μ ≤ σ/2) = 0.093

Thus, the Probability that a data value is between 27 and 28 is 9.3%.

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Find the length of the third side. If necessary, round to the nearest tenth. 8 12

Answers

The length of the third side is 14.4 units.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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ƒ(t) = –1∕2t2 + 2t + 6

Answers

This function represents a downward-opening parabola with a vertical shift of 6 units upward.

How to explain the function

The given function is Ƒ(t) = –1/(2t²) + 2t + 6.

This is a quadratic function in terms of t. The general form of a quadratic function is f(t) = at² + bt + c, where a, b, and c are constants.

Comparing the given function Ƒ(t) = –1/(2t²) + 2t + 6 with the general form, we can see that a = -1/2, b = 2, and c = 6.

So, the function Ƒ(t) can be written as:

Ƒ(t) = (-1/2)t² + 2t + 6

This function represents a downward-opening parabola with a vertical shift of 6 units upward.

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Identify the variable(s) in the expression below.
5 + 12w

Answers

Answer:

w is the variable

Step-by-step explanation:

the letters you see next to the numbers the variable.

You have different video games. How many different ways can you arrange the games side by side on a​ shelf? You can arrange the different video games in nothing different ways.

Answers

Answer:

See Explanation below

Step-by-step explanation:

This question has missing details because the number of video games is not stated;

However, you'll arrive at your answer if you follow the steps I'll highlight;

The question requests for the number of arrangement; That means we're dealing with permutation

Let's assume the number of video games is n;

To arrange n games, we make use of the following permutation formula;

\(^nP_n = \frac{n!}{(n-n)!}\)

Simplify the denominator

\(^nP_n = \frac{n!}{0!}\)

0! = 1; So, we have

\(^nP_n = \frac{n!}{1}\)

\(^nP_n = n!\)

Now, let's assume there are 3 video games;

This means that n = 3

\(^3P_3 = 3!\)

\(^3P_3 = 3 * 2 * 1\)

\(^3P_3 = 6\ ways\)

So, whatever the number of video games is; all you have to do is; substitute this value for n;

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
(f + g)(x 3 for all values of x
(f + g)(x) 3 for all values of x
(f + g)(x)6 for all values of x
(f + g)(x)for all values of x

Answers

The range of values of  (f + g)(x) is for all values of x  -infinity to + infinity

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are Given f(x) = |x| + 9 and g(x) = –6,

Required the range of (f + g)(x)

First, calculate

(f + g)(x) = f(x) +  g(x)

Substitute values for f(x) and g(x)

(f + g)(x) = |x| + 9 - 6

(f + g)(x) = |x| + 3

The above expression shows that (f + g)(x) ≥3

Range = (f + g)(x) ≥3 for all values of x

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The ESS Ravens bought pizza for $900 to sell at the football game. They kept 10 pizzas to feed the players after the game and sold the rest for $1040. There were 8 slices in each pizza. Their profit was 50 cents a slice.

a) How many pizzas were in the original order?​

Answers

Answer: 45

Step-by-step explanation:

The total profit in all was \(1040-900=\$ 140\).

The total profit per pizza was \((0.50)(8)=\$4\).

This means they sold \(\frac{140}{4}=35\) pizzas.

Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.

Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q​

Answers

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

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The set of numbers whose decimal representations are neither terminating nor repeating is called the set of

Answers

Answer:

its A

Step-by-step explanation:

Answer: terminating nor repeating

Step-by-step explanation:

there are two hydrogen atoms and one oxygen atom in a water molecule. complete the table, and graph the ordered pairs on the coordinate graph.

Answers

Answer:

______ allows data to be transmitted by the computer in ahu-man-of riendly from

Select the correct answer from each drop-down menu. Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I. In the diagram, is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5). The coordinates of point C are . The coordinates of point E are . The coordinates of point H are .

Answers

The coordinates of points C, E and G are respectively; C(-0.75, 8.5),  E(3.75, 7.5) and H(7.5, 6)

How to find the Coordinates of a Line Segment?

We are told that the line AB is divided into 7 equally spaced points labelled as C, D, E, F, G, H and I.

Now, coordinates of A and B are; A(-3, 9) and B(9, 5)

Since they are equally spaced, then it means that point F is the midpoint of the line. If (x, y) is the coordinate of F, then;

x, y = (-3 + 9)/2, (9 + 5)/2

x, y = (6, 7)

H is the midpoint of FB. Thus;

H(x, y) = (6 + 9)/2, (5 + 7)/2

H(x, y) = (7.5, 6)

D is midpoint of A and F. Thus;

D(x, y) = (-3 + 6)/2, (9 + 7)/2

D(x, y) = (1.5, 8)

E is midpoint of F and D. Thus;

E(x, y) = (1.5 + 6)/2, (8 + 7)/2

E(x, y) = (3.75, 7.5)

C is midpoint of D and A. Thus;

C(x, y) = (-3 + 1.5)/2, (9 + 8)/2

C(x, y) = (-0.75, 8.5)

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Answer:

Select the correct answer from each drop-down menu.

Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I.

In the diagram,  is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5).

The coordinates of point C are

.

The coordinates of point E are

.

The coordinates of point H are

.

cordinates for c are -1.5, 8.5 E is 1.5, 7.5 H is 6,6

Step-by-step explanation:

Taylor buys candy at the store that costs $1.50 per candy bar.
Create a table that could represent Taylor’s cost per candy bar.
Candy
Cost
0 /0
1 /1.50
? ?
? ?
? ?

Answers

Answer:

2/ 3.00

3/4.50

4/6.00

Step-by-step explanation:

A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?

Answers

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

How to test the data indicate that the length of the left foot is greater than the length of the right foot?

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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A coin is flipped 8 times. Find the probability of the event if you get exactly 6 heads

Answers

Answer:

3/4

Step-by-step explanation:

If you flip it 8 times then and get heads 6 times then your probability would be 6/8 but simplified down to 3/4

X+2y=-9

Solve for Y km

Answers

Answer:

y = - 1/2x - 4.5

Step-by-step explanation:

Step 1:

x + 2y = - 9         Equation

Step 2:

2y = - x - 9       Subtract x on both sides

Answer:

y = - 1/2x - 4.5             Divide 2 on both sides

Hope This Helps :)

can you guys pls tell how this person got this math proplem.

can you guys pls tell how this person got this math proplem.

Answers

Hfjfjfjjfifjfjndjd chuffing ej fr ice. Did

by the help of calculator

Enter a positive value for n that makes this statement true: 1 x n is greater than 1 but less than 2

Answers

A positive value for n that makes the statement true is n = 1.5.

We need to find a positive value for n that satisfies the given inequality: 1 < 1 x n < 2.
Step 1: Choose a value of n such that it's greater than 1 when multiplied by 1.
Step 2: Ensure the chosen value also makes the product less than 2 when multiplied by 1.
Let's try n = 1.5:
1 x 1.5 = 1.5
Now, let's check if it satisfies the inequality:
1 < 1.5 < 2
Yes, it does. So, a positive value for n that makes the statement true is n = 1.5.

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What are the angles of rotation for a regular
pentagon? (Select all that apply)
al. 60
672
(C) 90
d) 144
(l/180
1216
g) 360

Please show work or give an explanation please

What are the angles of rotation for a regularpentagon? (Select all that apply)al. 60672(C) 90d) 144(l/1801216g)

Answers

The angles of rotation for a regular pentagon are:

b) 72°d) 144°f) 216°g) 360°

Pentagon angle of rotation explained

A Regular Pentagon has five equal sides and five equal angles.

Since the sum of the interior angles of a polygon with n sides is given as:

(n-2) x 180°, then we have:

(5-2) x 180 = 540°.

Note that n = sides of pentagon which is 5

Since all angles in a regular pentagon are equal, each angle measures (540/5) = 108°.

The angles of rotation for a regular polygon are given by the formula 360/n, where n is the number of sides.

Therefore, the angles of rotation for a regular pentagon is:

360/5 = 72°,

Any other angles will be in the multiple of 72. Therefore we have:

2 x 72 = 144°, 3 x 72 = 216°,4 x 72 = 288°5 x 72 = 360°

Note that a full rotation is 360°.

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The product of two negative integers is a negative integer.

Answers

Answer:

False. The product of two negative integers is a positive integer.

If the median is 3.5, we can assume the mean is ____________than 3.5

Answers

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

What is mean?

The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.

According to question:

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.

For example, consider the following two data sets:

Set 1 data: 1, 2, 3, 4, and 5.

The median is 3.

The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.

Data set 2: 1, 2, 3, 4, 10

The median is 3.

The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.

In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.

Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

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Which of the following formulas does not represent finding The height of a rectangular prism with a volume of 200 in.³, a length of 4 inches, and a with of 5 inches?

Which of the following formulas does not represent finding The height of a rectangular prism with a volume

Answers

i believe it’s answer B ; 200= 20 • h

Interpret the regression coefficients. Fill in the blanks below.
The [a. coefficient of determination b. correlation coefficient intercept
slope coefficient] is the estimated amount of a purchase if time spent viewing the online catalog were zero. The a. intercept b. coefficient of determination
c. slope coefficient d. correlation coefficient] is the estimate of amount that a purchase changes for one extra minute spent viewing the online catalog.
b. Compute the coefficient of determination and interpret its meaning. Fill in the blanks below.
The [a. proportion b. amount] of the total variation in purchases that can be explained by variation in the minutes spent viewing the? on-line catalog is equal to the coefficient of? determination, which is ____. (Round to three decimal places as needed)
State the conclusion. Fill in the blanks below. [a. Do not Reject b. Reject] the null hypothesis. There is [a. sufficient b. insufficient] evidence to support the claim that the overall model is significant.
The p-value is ____. (Round to three decimal places as needed.)
State the conclusion. Fill in the blanks below.
a.Do not Reject b. Reject c. the null hypothesis. There is a. sufficient b. insufficient
evidence to support the claim that the overall model is significant.
Determine the p-value.
The p-value is ____. (Round to three decimal places as needed.)
State the conclusion. Fill in the blanks below.
[a. Reject b. Do not Reject] the null hypothesis. There is [a. insufficient b. sufficient]
evidence to support the claim that the regression slope coefficient is not equal to zero.

Answers

Answer:

With the information given in the question, the blank spaces are filled thus:

Step-by-step explanation:

1. The intercept is the estimated amount of a purchase, if time spent viewing the online catalog was zero minutes.

2. The slope coefficient is the estimate of amount that a purchase charges/changes, for one extra minute spent viewing the online catalog.

3. The proportion of total variation in purchases that can be explained by variation in the minutes spent viewing an online catalog is equal to the coefficient of determination.

4. The p-value is the probability value

5. Reject the null hypothesis if there is sufficient evidence to support the claim that the regression slope coefficient is not equal to zero.

NOTE: In the case of number 5, the assumption is that;

Null Hypothesis: The regression slope coefficient = 0

Alternative Hypothesis: The regression slope coefficient ≠ 0

Other answers require numerical information and full data, in order to be computed or calculated.

What is the value of the expression

What is the value of the expression

Answers

The value for the equation is option A

Tyler was making a meal for his family. For every 3/4 pound of beef, the recipe calls for 9/8 cups of broccoli. How many cups of broccoli would be needed for a pound of beef?

a1/2 cup of broccoli per beef

b2/3 pound of broccoli per beef

c1 and ½ cup of broccoli per beef

d5/4 cup of broccoli per beef

Answers

The number of cups of broccoli that would be needed for a pound of beef is C. 1 1/2 cup of broccoli per beef.

How to calculate the value?

From the information, it was stated that Tyler was making a meal for his family and that for every 3/4 pound of beef, the recipe calls for 9/8 cups of broccoli.

Therefore, the cups of broccoli that would be needed for a pound of beef will be:

3/4/1 = 9/8/x.

where x = cups of broccoli

Cross multiply

3/4x = 9/8

x = 9/8 ÷ 3/4

x = 9/8 × 4/3

x = 3/2

x = 1 1/2cups

Therefore, the correct option is C.

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Answer:

\(\textsf{c) \quad $1 \frac{1}{2}$ cups of broccoli per 1 lb of beef}.\)

Step-by-step explanation:

Given information:

For every ³/₄ lb of beef, the recipe calls for ⁹/₈ cups of broccoli.

Create a ratio of pounds of beef to cups of broccoli, where x is the number of cups of broccoli to one pound of beef:

\(\implies \dfrac{3}{4}: \dfrac{9}{8}=1:x\)

\(\implies \dfrac{\frac{3}{4}}{\frac{9}{8}}=\dfrac{1}{x}\)

Cross multiply:

\(\implies \dfrac{3}{4}x=\dfrac{9}{8}\)

\(\implies x=\dfrac{9}{8} \div \dfrac{3}{4}\)

To divide fractions, flip the second fraction (make the numerator the denominator, and the denominator the numerator) then multiply it by the first fraction:

\(\implies x=\dfrac{9}{8} \times \dfrac{4}{3}\)

\(\implies x=\dfrac{9 \times 4}{8 \times 3}\)

\(\implies x=\dfrac{36}{24}\)

\(\implies x=\dfrac{3 \cdot \diagup\!\!\!\!\!\!12}{2 \cdot \diagup\!\!\!\!\!\!12}\)

\(\implies x=\dfrac{3}{2}\)

\(\implies x=1 \frac{1}{2}\)

Therefore, 1¹/₂ cups of broccoli would be needed to one pound of beef.

PLS HELP ASAP!!! THIS IS DUE RIGHT NOW!!!!!!!!!!!!!!!!

PLS HELP ASAP!!! THIS IS DUE RIGHT NOW!!!!!!!!!!!!!!!!

Answers

Answer:

3/10x28  =  3x28/10 = 84/10 = 8 4/10= 8 2/5

Step-by-step explanation:

what is the slope of the line through (-1 2) and (-3 -2)

Answers

Answer:

m=2

Step-by-step explanation:

Answer:

slope = 2

Step-by-step explanation:

(x₁ , y₁) = (-1 , 2)    & (x₂ , y₂) = (-3 , -2)

\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-2-2}{-3-[-1]}\\\\= \frac{-4}{-3+1}\\\\= \frac{-4}{-2}\\\\= 2\)

please help with this question

please help with this question

Answers

The probability of the sample mean being less than 25.3 is given as follows:

0.9713 = 97.13%.

The sample mean would not be considered unusual, as it has a probability that is greater than 5%.

How to obtain probabilities using the normal distribution?

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: \(s = \frac{\sigma}{\sqrt{n}}\).

The parameters for this problem are given as follows:

\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)

The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:

Z = (25.3 - 25)/0.1576

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

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Solve the equation
2^2x+1 + 2^x+2 = 12-2^x

Answers

Therefore the value of x is 2.

Given 2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ

2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ

We can write this as follows

aˣ ⁺ ⁿ = aˣ * aⁿ

2²ˣ * 2 + 2ˣ * 2² = 12 * 2ˣ

2ˣ * 2ˣ * 2 +  2ˣ * 2² = 12 * 2ˣ

By taking common terms aside we get

2ˣ * 2 (2ˣ + 2) = 12 * 2ˣ

By canceling the like terms we get

2ˣ + 2 = 6

2ˣ = 6 - 2

2ˣ = 4

2ˣ = 2²

∴ x = 2

Therefore the value of x is 2.

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I don't believe that.O fragmentO sentence Lourdes has created the following challenges for you: She has given you three of the four points necessary to determine a rectangle on graph. She wants you to find the points that "complete" each of the rectangles belowa.(-1,3) (-1,2) (9,2) b.(3,7) (5,7) (5,-3)c.(-5,-5) (1,4) (4,2) d.(-52,73) (96,73) (96,1483) which is not an advantage of supercritical fluid chromatography? group of answer choices it provides an opportunity to use environmentally friendly, low-cost mobile phases it enables the study of molecules at their critical triple point which enhances the resolution it requires lower operating temperatures than gc allowing the analysis of analytes that may decompose upon heating it requires smaller operating pressures than hplc to achieve optimal separation AsapSelect the correct answer.Which function has a restricted domain? what social class agreed with communism The highlighted epithelium contains 5 layers in thick skin. Which of those layers would not be found in thin skin?. use polar coordinates to fond the volume of a sphere of radius 7 14. Why would a 2 liter bottle of fruit punch have more thermal energy than an 8 ozglass of fruit punch at the same temperature? sequence and series questions: a pendulum is released and swings back and forth geometrically in an arc until coming to a rest. If first arc is 48 ft and third arc is 27 ft. how far does pendulum travel before it stops?a. 85 ftb. 126 ftc. 150 ftd. 1108 fte. 192 feet If half the K-40 of a rock hasdecayed into Ar-40, how old isthe rock? "Let us restore to social intercourse that harmony and that affection without which liberty and even life are but dreary things." A nation is formed by the willingness of each of us to share in the responsibility for upholding the common good. A government is invigorated when each one of us is willing to participate in shaping the future of this nation. In this election year, we must define the "common good" and begin again to shape a common future. Let each person do his or her part. If one citizen is unwilling to participate, all of us are going to suffer. For the American idea, though it is shared by all of us, is realized in each one of us."what does this mean? Create your own equation If a bus driver leaves her first stop by 7:00 a.m., her route will take less than 37 minutes. If she leaves after 7:00 a.m., she estimates that the same route will take no less than 42 minutes. Which inequality represents the time it takes to drive the route, r?r < 37 or r 42r < 37 or r > 4237 < r 4237 > r 42 What is the political party Brainly? Which of the following is not an argument for the endosymbiotic theory of organelle evolution? a. Mitochondria and plastids are about the same size as prokaryotic cells. b. Mitochondria and plastids have DNA and ribosomes similar to that of bacteria. c. Mitochondria and plastids both produce all the gene products they need to function. d. Mitochondrial and plastids are surrounded by two membranes, similar to grann negative bacteria e Mitochondria and chloroplasts divide by binary fission, similar to most bacteria. The image of a trapezoid is shown.What is the area of the trapezoid? 17.4 m2 20.3 m2 40.6 m2 69.6 m2 In the linear regression equation -4 = 3+2X. the slope of the regression line is -1 FORMULAE -sX-f-vX; X = EMV/EOLEX, P(X,); ROP dx L; P=1-1 *** B a-v wytwYw; Q= 200 P141 var -- wtwyt twe 00 True Fals Rosie collects magnets from every new place she visits. In the past few years, she has collected 27magnets. This summer she collected more magnets while on her vacation. Which expressions belowrepresent the number of magnets that Rosie has now? In the rectangle PQRS, the side PQ is of length 2 and the side QR is of length 4.Points T and U lie inside the rectangle so that PQT and RSU are equilateral triangles.What is the area of the quadrilateral QRUT? Select all that apply.How did the people support the church?(A)They paid taxes.(B)They gave money to the nobles.(C)They gave gifts to the church.