Mathematics College

Does ≥ 5 have an open circle or closed circle?

Answers

Answer 1

Answer:

Closed circle

Step-by-step explanation:

When it's ≤ or ≥ it's a closed circle, when it's < or > it's an open circle.

Answer 2

I may be wrong, but I think it’s a closed circle.

Related Questions

Use the Law of Sines to solve (if possible) the triangle: A = 25° 4', a = 9.5, b = 22? Round answer to two decimal places.

Answers

The measure of the angle B of the triangle is 78.15 degrees

How to determine the possible solutions from the triangle

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

Answers

The triangles include:

4) Acute5) Obtuse6) Obtuse7) Right8) Right9) Obtuse10) Obtuse

How to classify triangles?

4) To determine if a triangle is right, obtuse, or acute, we need to use the Pythagorean Theorem to determine if the square of the longest side equals the sum of the squares of the other two sides.

Here, the longest side is 9, and the other two sides are 6 and 7.

9² = 6² + 7²

81 = 36 + 49

81 = 85

Since 81 is not equal to 85, the triangle is not a right triangle. To determine if it's obtuse or acute, we need to check the cosine of the largest angle using the Law of Cosines.

cos A = (b² + c² - a²) / 2bc

Let's choose 9 as side a, since it's the largest side:

cos A = (6² + 7² - 9²) / (84)

cos A = 0.048

Since cos A is positive, angle A is acute. Therefore, the triangle is acute.

5) Using the same process as above:

16² = 10² + 12²

256 = 100 + 144

256 = 244 + 12

Since 256 is greater than 244, the triangle is obtuse.

6) Again, using the same process as above:

(8√6)² = 8² + 16²

192 = 64 + 256

192 = 320

Since 192 is less than 320, the triangle is obtuse.

7) 29² = 20² + 21²

841 = 400 + 441

841 = 841

Since 841 is equal to 841, the triangle is a right triangle.

8) √73 is greater than 8 and 3, so it must be the largest side.

(√73)² = 8² + 3²

73 = 64 + 9

73 = 73

Since 73 is equal to 73, the triangle is a right triangle.

9) 12² = 8² + 10²

144 = 64 + 100

144 = 164 - 20

Since 144 is less than 164, the triangle is obtuse.

10) 15² = 9² + (3√34)²

225 = 81 + 306

225 = 387 - 162

Since 225 is less than 387, the triangle is obtuse.

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What is the meaning of "$ \varphi (x,y)$ be $ y\wedge \phi (x)$ "?

$What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?$

Answers

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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A Gallup poll conducted in November of 2011 asked the following question, “What would you say is the most urgent health problem facing this country at the present time?” The choices were access, cost, obesity, cancer, government interference, or the flu. The responses were access (27%), cost (20%), obesity (14%), cancer (13%), government interference (3%), or the flu (less than 0.5%).

The following is an excerpt from the Survey Methods section. “Results for this Gallup poll are based on telephone interviews conducted Nov. 3-6, 2011, with a random sample of 1,012 adults ages 18 and older, living in all 50 U.S. states and the District of Columbia. For results based on a total sample of national adults, one can say with 95% confidence that the maximum margin of sampling error is ±4 percentage points.”

Answers

The results show that the most common response was access, with 27% of the respondents choosing it as the most urgent health problem.

Cost came in second place, with 20% of the respondents choosing it. Obesity and cancer followed closely behind, with 14% and 13% of the respondents choosing them, respectively. Government interference and the flu were the least common responses, with only 3% and less than 0.5% of the respondents choosing them, respectively.

The margin of sampling error for the poll is ±4 percentage points, which means that if the poll was conducted multiple times, 95% of the time, the results would be within 4 percentage points of the actual population values.

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Find the total area for the pyramid with the equilateral base.

• 12 +36v3 sq. units
• 36 + 144V3 sq. units
• 144 +36V3 sq. units
• 36 +12V3 sq units

Answers

Answer:

C. 144 + 36√3

Step-by-step explanation:

Area formula for equilateral triangle with side a:

A = √3/4a²

The base area is:

A = √3/4*12² = 36√3

The three lateral surfaces have same sides of 10, 10 and 12.

Find each surface area using heron's formula:

s = P/2 = (10 + 10 + 12)/2 = 16s - a = 16 - 10 = 6s - b = 6s - c = 16 - 12 = 4$A = \sqrt{s(s-a)(s-b)(s-c)} =\sqrt{16*6*6*4} =48$

Total surface area is:

48*3 + 36√3 = 144 + 36√3

Correct choice is C

Solve the system by the addition method. x + 3y = 6 3x + 4y = −2

Answers

The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

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

-5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.

B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)

Answers

To reflect a point across the line y=3, we find the point that is the same distance from y=3 as the original point, but on the opposite side of the line. In this case, the original point is B(−4,−6), which is 9 units below y=3. The image point will be 9 units above y=3, so it will have a y-coordinate of 3+9=12. The x-coordinate remains the same, so the image point is B
′
(−4,12).

Find the square root of 25

Answers

Answer:

square root of 25 is 5

Step-by-step explanation:

√25 = 5×5

Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The null and alternative hypothesis would be:______.
A. H0 : μ = 0.8 H 1 : μ ≠ 0.8
B. H0 : p ≤ 0.8 H 1 : p > 0.8
C. H0 : p = 0.8 H 1 : p ≠ 0.8
D. H0 : μ ≤ 0.8 H 1 : μ > 0.8
E. H0 : p ≥ 0.8 H 1 : p < 0.8
F. H0 : μ ≥ 0.8 H 1 : μ < 0.8
The test is:_____.
a. left-tailed
b. right-tailed
c. two-tailed
Based on a sample of 200 people, 79% owned cats.
The test statistic is:______.
The p-value is:_____.
Based on this we:_____.
A. Fail to reject the null hypothesis.
B. Reject the null hypothesis.

Answers

Answer:

C. H0 : p = 0.8 H 1 : p ≠ 0.8

The test is:_____.

c. two-tailed

The test statistic is:______p ± z (base alpha by 2) $\sqrt{\frac{pq}{n} }$

The p-value is:_____. 0.09887

Based on this we:_____.

B. Reject the null hypothesis.

Step-by-step explanation:

We formulate null and alternative hypotheses as proportion of people who own cats is significantly different than 80%.

H0 : p = 0.8 H 1 : p ≠ 0.8

The alternative hypothesis H1 is that the 80% of the proportion is different and null hypothesis is , it is same.

For a two tailed test for significance level = 0.2 we have critical value ± 1.28.

We have alpha equal to 0.2 for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28

The test statistic is

p ± z (base alpha by 2) $\sqrt{\frac{pq}{n} }$

Where p = 0.8 , q = 1-p= 1-0.8= 0.2

n= 200

Putting the values

0.8 ± 1.28 $\sqrt{\frac{0.8*0.2}{200} }$

0.8 ± 0.03620

0.8362, 0.7638

As the calculated value of z lies within the critical region we reject the null hypothesis.

The graph of a cube root function f is shown.

The graph of g is a vertical shrink by a factor of 1/2 of the graph of f. Graph the function g.

Answers

A graph of the cube root function g(x) = 1/2x³ is shown in the image below.

What is a dilation?

In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.

When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;

g(x) = kf(x)

g(x) = 1/2f(x)

g(x) = 1/2x³.

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Which of the following fractions is smaller than
1/2

$Which of the following fractions is smaller than1/2$

Answers

the answer is C: 3/7

Pls help I need help on this question

Answers

Answer: B

Step-by-step explanation: Hope this helps:)

Using log evaluate 3^x=10

Answers

Answer:

x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Logs

Taking logarithms of both sides of the given equation, we have ...

x·log(3) = log(10)

Dividing by the coefficient of x gives ...

x = log(10)/log(3)

x ≈ 2.09590327429

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

<95141404393>

The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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find the area of each figure in square units. show your work and explain how you got the answer.

Answers

Answer:

28 square units or 28 units^2

Step-by-step explanation:

What are the next numbers in the series 1, 2, 3, 0, 1, 2, -1

Answers

The next numbers in the series will be 0,1,-2,-1,0,-3,-2,-1........

What is number Series?

This refers to a pattern of arranging numbers. In the number series problems, we will have to make the rules that result in the formation of a number series.

From the question:

1, 2, 3, 0, 1, 2, -1

The pattern is:

First value plus one, second value plus one, Third value minus three. Then the pattern starts afresh again.

Calculating the pattern we have:

1 +1 = 2

2 + 1 = 3

3 -3 =0

0+1 = 1

1 + 1 = 2

2 -3 =-1

-1 + 1 =0

0 + 1 =1

1 - 3 = -2

-2 + 1 = -1

-1 + 1 = 0

0 -3 = -3

-3 + 1 = -2

-2 + 1= -1

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I NEED ANSWER ASAP PLEASE WITH WORK PLEASE AND TY!!!!!! In the image the question is 32!! What is the factored form of x2 + 12x - 64?
A (x-4)(x + 16)
B. (x-2)(x + 32)
C. (x + 4)(x - 16)
D. (x-6)(x + 18)

Answers

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

$x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)$

54 is what percent of 24? Enter your answer in the box.

Answers

Answer:

225%

2*24=48, with 6 leftover. 6 is 25% of 24, so 200% (From when we multiplied 24 by 2) plus 25% (from the remainder) = 225%

pls help me and I will mark u as brainliest plssss help

Answers

Answer:

$x = 120 \times \cos(45) - 0 = 120 \times 0.7 = 84 \\ y = 120 \times \sin(45) - 150 = 84 - 150 = 64$

Roll one-8 sided die 10 times. The probability of getting exactly 3 sevens in those 10 rolls is given by .

Answers

The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.

Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:

P(k successes in n trials) = $C(n , k) * p^k * (1 - p)^{(n - k)}$

where:

C (n , k) represents the number of combinations of "n" things taken "k" at a time, and p is the probability of success in a single trial.

Step1

Calculate the probability of rolling a seven on an 8-sided die (p).

Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),

p = 1/8.

Step 2

Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:

P(3 sevens in 10 rolls) = $C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}$

On subtracting gives:

=C(10, 3) * (1/8)^3 * (7/8)^{7}

Plugging the value of C(10,3) = 120 in the above equation:

= 120 * (1/8)^3 * (7/8)^{7}

Step 3:

Calculate the final answer using the formula:

P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)

≈ 0.0142

Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

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imagine you and a friend are trying to rearrange the furniture in your classroom. You push on a desk with a force of 150 N to the right. Your friend pushes on the same desk with a force of 50 N to the left. What is the net force on the desk?

Answers

Answer:

100N

Step-by-step explanation:

If I push on a desk with a force of 150 N to the right and my friend pushes on the same desk with a force of 50 N to the left, this means that I pushed the desk in the positive x direction and the force I applied is F1 = +150N; my friend pushes the desk in the negative x direction and the applied force will be F2 = -50N.

THe net force will the sum total of both forces acting on the desk.

Net force F = F1+F2

Given F1 = +150N and F2 = -50N

Net force F = +150N+(-50N)

Net force F = +150N-50N

Net force F = +100N

Hence the net force on the desk is 100N

Please look at the photo. Thank you!

Answers

The zeros with each multiplicity are given as follows:

Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.

How to obtain the multiplicities?

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.

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Here are two steps from the derivation of the quadratic formula.
x² + b10
2a
=
b
+
a 2a
b
(x + 2)² --- + ( 2 )²
2a
a 2a
What took place between the first step and the second step?
OA. Factoring a perfect square trinomial
OB. Taking the square root of both sides
OC. Completing the square

Answers

Answer:

The correct answer is C) Completing the square.

Step-by-step explanation:

In the first step of the derivation, the left-hand side of the equation is the standard form of a quadratic equation, with the variable x raised to the second power and the coefficient of x being 1. In the second step, the expression on the left-hand side is rewritten as the square of a binomial, with the constant term b/2a added to the binomial. This process of adding the constant term and then squaring the resulting binomial is called "completing the square." By completing the square, it is possible to rewrite the original quadratic equation in a form that can be easily solved using the quadratic formula.

When simplifying --7(3)(-10) + (-4), can you multiply 3 and -10 first and get the same result as multiplying - 7 and 3 first?
Explain.

Answers

Answer:

See explanation

Step-by-step explanation:

Yes

-7(3)(-10) + (-4) =

-7(-30) + (-4)= ==> multiply 3 and -10

210 - 4=206

-7(3)(-10) + (-4) =

-21(-10) + (-4)= ==> multiply -7 and 3

210 - 4=206

206=206 √

Simplify 45÷3[90÷45{6+3(19-16)}]

Answers

Step-by-step explanation:

45÷3[90÷45{6+3(19-16)}]

45÷3[90÷45{6+3(3)}]

45÷3[90÷45{6+9}]

45÷3[90÷45{15}]

45÷3 [90÷675]

$\frac{\cancel{45}^\ {15}}{\cancel3} * \frac{6}{45}$

$ \cancel{15} × \frac{6}{\cancel{45}^\ {3}}$

6/3

$\\\\\\$

The equation of $$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]$ is 165.

What is PEMDAS rule?

PEMDAS exists as an acronym for the terms parenthesis, exponents, multiplication, division, addition, and subtraction.

How to simplify the equation of $$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]$?

Given:

$$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]$

45/3 = 15

Simplifying the given equation, we get

$$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]=15\left[\frac{90}{45}+3(19-16)\right]$

90 / 45 = 2

By simplifying the above equation, then we get

= 15[2 + 3(19 -16)]

By using the PEMDAS rule

15[2 + 3(19 -16)] = 11

$$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]= 15*11$

= 165

Therefore, the equation of $$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]$ is 165.

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which of the following is the best deal?

a. 6 oz box of crackers for $1.08
b. 7-oz box of crackers for $1.19
c. 8-oz box of crackers for $1.20
d. 9-oz box of crackers for $1.26

Answers

The answer is D
1.19/7-.17
1.20/8-.15
1.26/9-.14
1.08/6-.18

So each box of crackers equals .14 on letter D so that is the best deal
I hope this helps!!!

The answer is D you have to divide the answer and D is what I got

Citywide Tractors is offering a variety of options to their customers when they purchase a new tractor for $22,655.00. The customer may choose one of the options listed.

Option 1: Rebate of $600.00 off the purchase price
Option 2: Coupon for off the purchase price

Option 3: Discount of 10% off the purchase price

Which option represents the best price of the new tractor for the customer?
A Option 1 has the best price of $16,655.00.
B Option 2 has the best price of $19,823.13.
C Option 3 has the best price of $20,389.50.
D Option 2 has the best price of $18,577.10.

Answers

c i think bc the sugar act is right

Answer: $16,655.00.

Step-by-step explanation:

what is the difference

Answers

For Mandy's van equation,

y = 0.28 x + 37. 50

comparing with Veronica, Difference

when x = 20, y = 0.28 ( 20 ) + 37. 50 = 43.1 y = 58. 40 58.40 - 43. 1 =15. 3 ( CORRECT)

when x = 55, y = 0.28 ( 55 ) + 37. 50 = 52.90 y = 64. 35 64. 35 - 52.90= 11.45

when x = 120, y = 0.28 ( 120 ) + 37. 50 = 71. 1 y = 75. 40 75.40 - 71.1 = 4.3

For Veronica's van Table of values,

when x = 20 , y = 58. 40

when x = 55, y = 64. 35

when x = 120, y = 75. 40

Question 2 (5 points)
(01.01 LC)

Which rational number equals 0 point 1 with bar over 1? (5 points)

Question 2 options:

1)

1 over 11

2)

1 over 10

3)

1 over 9

4)

1 over 8

Answers

Answer:

3. 1 over 9 is the correct answer

Answer:

option 3 is correct.

hope it helps

A gardener wants to determine which of two brands of fertilizer is best for the plants in a garden. Before using one of the fertilizers on the entire garden, the gardener decides to conduct an experiment using 28 individual plants. Which of the two plans for randomly assigning the treatments should the gardener use? Explain.

Plan A: Choose the 14 unhealthiest-looking plants. Apply Brand X fertilizer to all 14 of those plants. Apply Brand Y fertilizer to the remaining 14 plants.

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

Plan A, because the unhealthy plants need the fertilizer the most and should be treated first
Plan B, because the sample of plants is randomly chosen
Plans A and B are equivalent because they both follow experimental design
Plans A and B are both poorly designed because there are not enough plants to test
The plans cannot be evaluated from the information given

Answers

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

What is a sample and its types?

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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Which angles are adjacent? Select all that apply.

Answers

Answer:

AFB and BFC

BFC and CFD

CFD and DFE

Step-by-step explanation:

I had just done this and those where the awnsers

Answer:A,C,E

Step-by-step explanation:

Other Questions

if a life insurance policy develops cash value faster than a seven pay whole life contract it becomes Explain why gas composition in the alveoli remains relatively constant during normal breathing and demonstrate how it might change during other breathing patterns. what is the assumption of rationality regarding economic decisionmakers? Why is it integral to the definition of economics? PLEASE ANSWER Which characteristic is shared by both prokaryotes and eukaryotes? A cost driver is defined as: (CMA adapted)A. the largest cost in a manufacturing process.B.a fixed cost that cannot be avoided.C.the significant factor in developing a new product.D.a causal factor that increases the total cost of a cost objective. Suggest any 2 reasons why do we need to respire while sleeping? Not HW review for test not worth points please help What is meant by the term second messenger in endocrine communication?A an intermediary molecule produced by hormone and receptor interactionB A second hormone that has the same effect on a target organC An enzyme that is directly activated by the hormoneD P protein in the membrane of the target cell Select the accurate statement about water potential.a. Adding solutes to water increases water potential.b. Free water moves from a region of lower water potential to a region of higher water potential.c. Water in a turgid cell has positive pressure potential. ____________ is an eap method for mutual authentication and session key derivation using a pre- shared key german universities were especially fertile ground for scientific advances because in part because they would broadcast popular content 24 hours a day, every day of the year, which of the following did 1960s pirate stations broadcasting into great britain most resemble? There are rainy days, sunny days, and cloudy days. - September and October had the same number of rainy days.- There are 10 rainy days in total for both months.- There were 3 more cloudy days in October then in September.How many sunny days were there in September? An image of a sailboat has one triangular sail that is labeled. The base corner labeled as a right angle. The base of the triangle is labeled 14 feet hypotenuse is labeled 38 feet Determine whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.L (-3, 2) ,M (5, 2) , N (-3, 6) a bond has a $1,000 face value, a market price of $1,045, and pays interest payments of $74.50 every year. what is the coupon rate? a. 8.14 percent b. 7.12 percent c. 7.45 percent d. 7.00 percent What does it mean that u dont want to have friends? Solve for x. (Show ur work) The total overhead applied to Product P4 under activity-based costing is closest to: (Round your intermediate calculations to 2 decimal places.) (15pts) 1.Use function notation to write a statement that means: the area of the picture, including a frame that is 2 inches thick, is 266 square inches.2.What is the total area if the picture has a frame that is 4 inches thick?