100 points
The average temperature of the earth's stratosphere is -70 degrees. The average temperature on the earth's surface is 57 degree. How much warmer is the average surface of the earth than the stratosphere?

The words savage and savory are neither similar nor contradictory.

Contradiction is a term used to indicate mutually opposite things. It is commonly used in statements where both the statements cannot be true.

Savage is a word the meaning of which is wild or non cultivated in a context as an adjective. In another context, savage can be used as a noun to define an uncivilized or a brutal human.

On the other hand, savory is a completely different term which is used to define the taste of the dishes, typically in a positive way.

Hence the terms savage and savory are neither similar nor contradictory words.

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Measures of central tendency (sample mean), variability (standard deviation), and sample size. The confidence interval is calculated using the critical t-value, margin of error, and sample mean.

In the given information, X represents the sample mean of 2114.5455, S represents the sample standard deviation of 3451.7624, and n represents the sample size of 33. The standard error of the mean (SEM) can be calculated by dividing the standard deviation by the square root of the sample size.

The level of confidence is set at 95%, which means that we are 95% confident that the true population mean falls within a certain range. The critical t-value (ta/2) at a significance level (α) of 0.03 and with degrees of freedom (df) of n-1 (32 in this case) is 2.3518.

The margin of error (ME) is calculated by multiplying the critical t-value by the standard error of the mean. In this case, the margin of error is 1413.1583.

The upper control limit (UCL) is calculated by adding the margin of error to the sample mean, resulting in a value of 3527.7037. The lower control limit (LCL) is calculated by subtracting the margin of error from the sample mean, resulting in a value of 701.3872.

The MRSME (Minimum Required Sample Mean Error) is the minimum difference in means that would be considered statistically significant. It is calculated by dividing the margin of error by 2, resulting in a value of 701.3872.

The control limits define the range within which the true population mean is likely to fall. The MRSME indicates the minimum difference in means that would be statistically significant.

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The correct statements about given synthetic division are C, D, and F

"It is a polynomial with degree 2."

"It is defined as a way of dividing one polynomial by another polynomial of first degree."

For given question,

We have been given a quadratic polynomial \(F(x)=4x^{2} -17x-15\)

We can factorize above quadratic polynomial as,

\(F(x)\\=4x^{2} -17x-15\\=4x^{2} -20x+3x-15\\=4x(x-5)+3(x-5)\\=(x-5)(4x+3)\)

This means the factors of \(4x^{2} -17x-15\) are (x - 5) (4x + 3)

And the roots of the polynomial would be,

\(\Rightarrow F(x)=0\\\Rightarrow 4x^{2} -17x-15=0\\\Rightarrow (x-5)(4x+3)=0\\\Rightarrow x-5=0~~,~~4x+3=0\\\Rightarrow x=5~~,~~x=-\frac{3}{4}\)

This means, the roots of \(4x^{2} -17x-15\) are 5 and \(\frac{-3}{4}\)

Therefore, the correct statements about given synthetic division are C, D, and F

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The maximum value of the function on the given set is 8e⁻²⁶. Therefore, fmin = 8e⁻⁵² and fmax = 8e⁻²⁶.

To determine the global extreme values of the function f(x, y) = 8e-(2x² + 8y²) on the given set 2x² + 8y² ≤ 52, we can use the fact that the function is decreasing as the argument (2x² + 8y²) increases. Therefore, we want to maximize the value of 2x² + 8y² while staying within the given set. The maximum value of 2x² + 8y² on this set is 52, which is the boundary of the set.

When 2x² + 8y² = 52, we have f(x, y) = 8e-(2x² + 8y²) = 8e⁻⁵² = 8e-52. This is the minimum value of the function on the given set.

Since the function is decreasing as the argument increases, the maximum value of the function occurs at the boundary points where 2x² + 8y² = 52. Therefore, we can find the maximum value by evaluating the function at the four boundary points:

f(±√13, ±√3) = 8e-(2(√13)2+8(√3)2) = 8e-26

The maximum value of the function on the given set is 8e⁻²⁶. Therefore, fmin = 8e⁻⁵² and fmax = 8e⁻²⁶.

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Answer:

x = -3

y = -2

Step-by-step explanation:

y = 2x - 4

3y = 2x

Minus bottom from top:

2y = -4

y = -2

Plug in for y to solve for x:

3y = 2x

-6 = 2x

x = -3

Answer:

p ≥ 5

Scott will buy at least 5 kilograms of candy.

Step-by-step explanation:

Inequalities

The candy Scott buys cost $7 per kilogram.

Let's set p=number of kilograms of candy Scott will buy.

The money spent to buy p kilograms of candy is 7p dollars.

The condition states he will spend at least $35 on candies, thus the following inequality is formed:

7p ≥ 35

Dividing by 7:

p ≥ 35/7

Operating:

p ≥ 5

Scott will buy at least 5 kilograms of candy.

Answer:

Step-by-step explanation:

a) area of rhombus = 1/2 × d1 × d2 = 90cm^2

here d1 and d2 are the diagonals

d1 = 18 cm

1/2 × 18 × d2 = 90

9 × d2 = 90

d2 = 90/9

d2 = 10 cm

∴The length of other diagonal is 10 cm

b) d1 = 28 cm

d2 = 24 cm

area = 1/2 × d1 × d2

= 1/2 × 28 × 24

= 336 cm^2

∴ The are of the rhombus = 336 cm^2

Hope this helps

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Answer:

16% Increase

Step-by-step explanation:

I don't really know how to explain

EXPLANATION:

Given;

We are given a graph of a function.

Required;

We are required to determine from the graph if the function is even, odd or neither even nor odd.

Solution:

To determine this from a graph, we should note that a function which is symmetrical with the y-axis is an even function. The graph which is symmetrical with the origin after a 180 degree rotation is an odd function.

Observe that if this graph is flipped from left to right (across the y-axis), it would not retain its original shape.

However, if the graph is rotated 180 degrees about the origin, it would retain its original shape.

Therefore, the graph depicted is an odd function

ANSWER:

The function is an ODD function

Answer:

Step-by-step explanation:

x | y

9 | 15

7 | 11

1 | -1

0 | -3

On solving the provided question, we can say that the new equation of the line is = (y +6) = 1/2(x-3) => x - 2y = 9

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

coordinates are (3, -6)

the perpendicular equation is y = -2x

so, m. the slope = 1/2

the new equation of the line is = (y +6) = 1/2(x-3)

2y + 12 = x = 3

x - 2y = 9

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Answer:

I think it's B because the bigger numbers stay the same an u subtract the smaller numbers

Answer:

b = (4/3), with rounding

Step-by-step explanation:

Area = A, in cm^2

n = days

A(n) = \(A_{0}\)\(b^{n}\)

------------------

Data:

n = 2, A = 1.8

A(n) = \(A_{0}\)\(b^{n}\)

1.8 =  \(A_{0}\)\(b^{2}\)

n = 3, A = 2.4

2.4 = \(A_{0}\)\(b^{3}\)

Although we are not given the initial area, we can still make the calculation since we have two data points and each has the same initial area, \(A_{0}\).  Lets take the first equation and multiply it by b, in order to bring the \(b^{2}\) to \(b^{3}\)

1.8 =  \(A_{0}\)\(b^{2}\)

b(1.8 =  \(A_{0}\)\(b^{2}\))

1.8b = \(A_{0}\)\(b^{3}\)

We can know from the second equation that 2.4 = \(A_{0}\)\(b^{3}\) .  We can eliminate this term in the above relationship by substituting 2.4:

1.8b = \(A_{0}\)\(b^{3}\)

1.8b = 2.4

b =  1.3333

       or (4/3)

Check:

Does the value of (4/3) for b work for both data points?  To check this, we do need to assume an initial starting area.  Lets assume the starting area, \(A_{0}\) = 1.

n = 2, A = 1.8, b = (4/3)

A(n) = \(A_{0}\)\(b^{n}\)

1.8 =  1*\((4/3)^{n}\)

1.8 =  1.78  Close enough?

n = 3, A = 2.4, b = (4/3)

2.4 = \(A_{0}\)\((4/3)^{n}\)

2.4 = 1*\((4/3)^{3}\)

2.4 = 2.37 Close enough?

Answer: The practical domain of a mathematical model represents the set of values for which the model is applicable or makes sense in the real world. In this case, the practical domain of the ball's height model h=-16t^2+64t is limited by the physical constraints of the situation.

Since the ball is kicked upward, the height of the ball cannot be negative. Therefore, the practical domain for the height model is restricted to values of t that result in non-negative heights.

We can find the values of t that correspond to when the ball is on the ground by setting h=0 and solving for t:

0 = -16t^2 + 64t

0 = t(-16t + 64)

t = 0 or t = 4

The ball is on the ground at the start of the motion (t=0) and again after 4 seconds. Therefore, the practical domain for the height model is 0 ≤ t ≤ 4, since the ball is in the air during this time and the height model is applicable.

In summary, the practical domain of the height model h=-16t^2+64t is 0 ≤ t ≤ 4.

Answer:

22. 3/8

23. 3/5

24. 0

Step-by-step explanation:

turn the 1 into a fraction for each of the problems.

for 22. it would be 8/8 because also trying to make the denominators the same.

8/8 - 5/8 = 3/8

try 23 and 24 now!

Answer: Hi!

Sara had 2/3 of a piece of cake. Jasmine had 2/5 of a piece of cake. How much cake did Sarah and Jasmine have in total?

Hope this helps!

Answer:

If Kaylah had 2/5 of a pizza, and Allia had 2/3 of a pizza how much would they eat together?

Answer:

23

Step-by-step explanation:

Ryan needs to score a 23 this game because if you add all the numbers together (32 + 26 + 23 + 23) then divide them

(32 + 26 + 23 + 23)/4

You will get 23.

Answer:

23 points

Step-by-step explanation:

Let's first start out by first finding the current mean. We can find this by:

\(\frac{32+26+23}{4}=27.\)

So we know that his current average is 27 points per game, and we need the average to be 26. So, to find out the total number of points he scores from his 1st, 2nd, 3rd, and 4th game, we will do:

\(26\cdot4=104\)

So if he needs 104 points in total to have an average of 26. So, we would subtract his total number of points from his 1st, 2nd, and 3rd game, from 104. If we do this, we would get:

\(104-(32+26+23)=104-81=23\)

So he would need to score 23 points next game to have an average of 26 points.

The difference between a formal and informal proof in arithmetics is that a formal proof uses equations, whereas an informal proof only uses text. That is option D.

A formal proof is defined as the concept used in arithmetics to show that the final answer to an expression obeys a particular rule of an equation or formula.

An informal proof is defined as the concept that shows the answer to a mathematical expression without the use of formula or derived equation.

Therefore, the difference between the formal and informal proof is that a formal proof uses equations, whereas an informal proof only uses text.

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Answer:

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

Step-by-step explanation:

1+7/29=29+7/29

=36/29

=1.24

Approximately

=1

1+5/6=6+5/6

=11/6

=1.83

Approximately

=2

0.16

Approximately =0

From greatest to least

One and five-sixth rounded to 2

One and StartFraction 7 over 29 rounded to 1

0.16 rounded to 0

Actually, it isn't that difficult to solve if you break it down piece-by-piece so it's easier to understand.

_____________________________________________________

We are given the following:

\(2*3(4+3^1^4(4+10)^3+5)^2\)

1. First, multiply 2 * 3 = 6.

2. Next, simplify remaining parts of equation.

\(4+3^1^4(4+10)^3+5=9+3^1^4*2744\)

\(6(9+3^1^4*2744)^2\)

3. Finally, solve.

\((9+3^1^4*2744)^2=13124466945^2\)

\(6*13124466945^2\) ← Final Solution

Hope this helps! If so, feel free to lmk. Besides that, good luck!

In this problem, the lower limit of integral is -3 and the upper limit of integration is 3.

We can use the formula for the surface area of a solid of revolution generated by a curve revolving around a given axis. The formula is S = 2π ∫ a b y dx, where a and b are the lower and upper limits of integration, and y is the height of the curve at x. In this problem, the lower limit of integration is -3 and the upper limit of integration is 3. Substituting y = 1/16(e^8x + e^-8x) into the equation gives S = 2π ∫ -3 3 (1/16(e^8x+e^-8x)) dx. Integral this expression gives S = 10512π.

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Answer:

please send the pic again clearly

Answer:

I hope it will help you

Step-by-step explanation:

thank u

Answer:A

Step-by-step explanation:

20/25 = 4/5

16/20 = 8/10 = 4/5

Answer:

7.8

Step-by-step explanation:

The best estimate of the quotient of 523 divided by 67 is 7 and the remainder is 54.

One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components. It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

The number 523 divided by 67,

When you first divide the 523 by 67 then the quotient will be 7 and the remainder will be 54.

The above phrase can be written as,

523 ÷ 67 = 67 × 7 + 54

Thus, the quotient is 7 and the reminder is 54.

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The situation that can use the binomial probability distribution is a sampling of 100 parts to determine whether or not they meet specifications.

The binomial probability distribution is used to model the probability of a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. In the given situation, each part in the sample either meets the specifications (success) or does not (failure), which makes it a binomial experiment.

To use the binomial probability distribution, we need to know the probability of success (p) and the number of trials (n). In the given situation, we can determine the probability of a part meet specifications based on the given specifications, and the number of trials is fixed at 100, as we are sampling 100 parts.

Using the binomial probability distribution, we can calculate the probability of a certain number of parts meeting specifications out of the 100 sampled parts. This can be useful in determining whether the sample meets the expected specifications or if there are any issues with the manufacturing process.

In summary, the binomial probability distribution can be used in the given situation of sampling 100 parts to determine whether or not they meet specifications, as it involves a fixed number of independent trials with only two possible outcomes.

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Answer:

8b-5=6b+23

8b-6b=23+5

2b=28

b=14

Step-by-step explanation:

The formula for the nth term of the sequence 1/1, -1/4, 1/9,... is:
(-1)^(n+1) / n^2.

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Answer:

12.6 is the answer! happy to help ya :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

42(30/100)

12.6