1. Select all of the true statements.

A. Pi is the area of a circle of radius 1.

B. Pi is the area of a circle of diameter 1.

C. Pi is the circumference of a circle of radius 1.

D. Pi is the circumference of a circle of diameter 1.

E. Pi is the constant of proportionality relating the diameter of a circle to its circumference.

F. Pi is the constant of proportionality relating the radius of a circle to its area.

Answer:

yes indeed it is ma'am or by if u trans like Lil Nas X

Answer:

Yes it is

Step-by-step explanation:

There were 14 participants in each condition in the study, with a total sample size of 28. To determine the number of participants in each condition, we need to look at the degrees of freedom in the one-way ANOVA output.

In this case, the degrees of freedom for the numerator is 1 and the degrees of freedom for the denominator is 26. Since the ANOVA assumes equal sample sizes across conditions, we can calculate the total number of participants by multiplying the sample size by the number of conditions. Using the formula for degrees of freedom, we can calculate the sample size for each condition as follows:
df_between = k - 1
df_within = N - k
Where k is the number of conditions and N is the total number of participants.
In this case, df_between = 1 and df_within = 26. Thus,
1 = k - 1
k = 2
Substituting k = 2 into the df_within equation, we get:
26 = N - 2
N = 28
So, the total number of participants across both conditions is 28. Since we assume equal sample sizes, each condition has 14 participants. Therefore, the number of participants in each condition is 28 / 2 = 14.Therefore, we can conclude that there were 14 participants in each condition in the study, with a total sample size of 28. In summary, given the one-way ANOVA output and assuming equal sample sizes across conditions, we can use the formula for degrees of freedom to calculate the sample size for each condition and determine that there were 14 participants in each condition in the study.

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Given:

The rectangular stage at Radio City Music Hall in New York City measures 144 feet wide and 60 feet deep.

We will find the area by multiplying the width by the deep

So, the area =

So, the answer will be Area = 8640 square yards

Answer:

The chance would be a 60% chance of not winning.

Step-by-step explanation:

The banner says only a 40% chance of winning, so all you would do is subtract 40 from 100 and get 60. Hope i helped

Answer:

You'd have a 40% chance.

Step-by-step explanation:

100 - 60 = 40.

The solution used to make 40% of salt solution is 12 grams and 70% of salt solution is 8 grams.

Let us consider 'a' represents the 40% of salt in water.

And 'b' represents the 70% of salt in water.

Total salt required to make 52% salt solution = 20 grams

Required equations is :

a + b = 20

⇒ a = 20 - b  ___( 1 )

40% of a + 70% of b = 52% of  20 grams

⇒ 0.40a + 0.70b = 10.4 ___( 2 )

Substitute the value of 'a' in equation ( 2 ) from (1) we get,

0.40( 20 - b ) + 0.70b = 10.4

⇒8 - 0.40b +  0.70b = 10.4

⇒ 0.30b = 10.4 - 8

⇒ b = 2.4 / 0.30

⇒ b = 8

⇒ a = 12

Therefore, the solution used by Serena for 40% is 12 grams and 70% solution is 8 grams.

The above question is incomplete , the complete question is:

Serena is making an experiment. For that, she needs 20 grams of a 52% solution of salt. She has two large bottles of salt water: one with 40% and the other with 70% of salt in them. How much of each must she use to make the solution she needs?

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Answer:

7x - 3

Step-by-step explanation:

3x+(4x-3)

Remove parenthesis

3x + 4x - 3

Combine like terms

3x + 4x = 7x

7x - 3

Answer:

7x-3

Step-by-step explanation:

Removing the parantheses, we get 3x+4x-3. Adding like terms we get 7x-3.

7x-3.

Answer: B- about 349,471 deer.

To calculate the population after 12 years, we can use the formula:

N = N0 * (1 + r)^t

where N0 is the initial population (15,000), r is the growth rate (3%), and t is the number of years (12).

Plugging in the values:

N = 15,000 * (1 + 0.03)^12 = 15,000 * 1.95863 = 29,379.45 ≈ 349,471

Step-by-step explanation:

1 gram is equivalent to \(350(0.002205)=\boxed{0.77175} \text{ lb}\)lb.

So, 350 grams is equivalent to

Answer:

18.445

Step-by-step explanation:

Multiply

Distance covered is 161.54 miles.

The length of a straight line connecting any two places in space, which is the shortest route, is the distance between them. In classical physics, particularly Newtonian mechanics, this is the common definition of distance. The Pythagorean theorem is used to calculate Euclidean distance in coordinate geometry. Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given,

Going speed of Lucinda = 60 mph

Returning speed of Lucinda = 70 mph

Let distance of one side be d

Speed = Distance/ Time

time = distance/speed

Going time taken t₁ = d/60

Returning time taken = d/70

t₁ + t₂ = 5 hr

t₁ + t₂ = d/60 + d/70

5 = 13d/420

d = 5× 420/13

d = 161.54

Distance covered is 161.54 miles.

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ASA (Angle-Side-Angle) and we observed  and  proved that △GHL ≅ △KHJ.

we are asked to find the congruence theorem, which will prove that △GHL ≅ △KHJ.

we can see that side length GH of △GHL is equal to side length KH of △KHJ.

We are also given that m<HGL = m<HKJ.

We can see that  <GHL is vertical opposite angle of  <KHJ as they are formed by the intersection of line segments GK and JL. Therefore ,m<GHL congruence m<KHJ , by vertical angles theorem.

We can see that both triangles have two congruent angles and one congruent included side, therefore, △GHL ≅ △KHJ by ASA congruence and option B is the correct choice.

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The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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Answer:

the input number is -10

Step-by-step explanation:

output is always y

input is always x

so instead of y, put -52

-52=5x-2  add 2 to each side to ger 5x by itself

-50=5x     divide both sides by 5 to get x by itself

-10=x

x is the input so the input is -10

Answer:

No solution.

Step-by-step explanation:

3(n + 4) = 3n + 11

Distribute on the left side.

3n + 12 = 3n + 11

Subtract 3n from both sides.

12 = 11

Since 12 = 11 is a false statement, there are no solutions.

Answer:

C. Energy

Step-by-step explanation:

The predator is looking for the energy needed in order for it to survive which it finds in its prey.

The predator-prey relationship is primarily based on the quest for energy.

Option C is the correct answer.

We have,

Predators hunt and consume prey in order to obtain energy for their survival.

The prey, on the other hand, tries to evade predation and secure its own energy resources for survival.

The interaction between predators and prey is driven by the need for sustenance and the transfer of energy within an ecosystem.

While factors like space, symbiosis, and even occasional instances of help between species can play a role in the dynamics of ecosystems, the primary driving force behind the predator-prey relationship is the quest for energy.

Therefore,

The predator-prey relationship is primarily based on the quest for energy.

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X is equal to 8 and Y is equal to 3.

A pair that has two values stated in a certain sequence between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane.

Each domain element should have exactly one picture for the function, therefore the newest element in the column of x shouldn't be 6,3,9,7. Thus, we have two options for x = 8 or 12

Taking 8 will allow us to add another to the column on y, making y equal to 3.

thus, x = 8 and y = 3.

When an ordered pair is used, the numbers do not repeat.

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Answer:

The hypotenuse is square root of 65

Step-by-step explanation:

a^2 + b^2 = c^2

legs of the right triangle are a and b. Just substitute 4 for a and 7 for b and solve.

4^2+7^2=16+49=65

c^2=65

Find the square root of both sides to get

c=the square root of 65

======================================================

Explanation:

Focus on triangle ABC. Let's find the missing angle

A+B+C = 180

113+B+22 = 180

B+135 = 180

B = 180-135

B = 45

Between the triangles, have two pairs of angles that are congruent

A = D = 113

B = E = 45

Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22

Since we have A pair with D, and B pair with E, this means that \(\triangle ABC \sim \triangle DE F\)

The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.

Consequently, this means sides BC and EF pair up and AC and DF pair up

We can then say...

BC/EF = AC/DF

18/12 = x/4

18*4 = 12*x

72 = 12x

12x = 72

x = 72/12

x = 6

AC = 6

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Answer:

Step-by-step explanation:

I answer for what I understand

280 : 70 = 28 : 7

4 = 4

true

Work Shown:

y = (1/2)x + 6

y-6 = (1/2)x

2(y-6) = x

x = 2(y - 6)

x = 2y - 12

The height of the tree is 33 feet if Diego wants to know the height of a tree in his neighborhood. He stands 20 feet away from the tree

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the height of the tree, we can use the equation we set up earlier:

To find the height of the tree, we can use algebraic expression. Let's start by defining a variable for the height of the tree. Let's call it "h".

From the given information, we can also define the following:

Distance between Diego and the tree: 20 feet

Distance between Diego and the mirror: 4 feet

Diego's height (from the ground to his eyes): 5 1/2 feet

h / 24 = 11/8

To solve for h, we can cross-multiply:

h = 24 * (11/8)

Simplifying this expression, we get:

h = 33

Therefore, the height of the tree is 33 feet.

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The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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Step 1: \(6.3^2+x^2=15.4^2\)

Step 2: \(x^2=15.4^2-6.3^2\)

Step 3: \(x=\sqrt{15.4^2-(6.3)^2}\)

Step 4: \(x=14.05\)

The rate of increase of the y-coordinate as it approaches the point (1, 5) is 4 cm/s.At that instant, the x-coordinate of the point is not changing; it is staying at 1.

When a point reaches a certain coordinate, it means that the point is not changing anymore. In this case, the point has reached the coordinate (1, 5), which means that the x-coordinate (1) is not changing, while the y-coordinate (5) is increasing at a rate of 4 cm/s. Therefore, the x-coordinate of the point is not changing at that instant.

x = 1

Rate of Change (x-coordinate) = 0 cm/s

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Answer: \(1\frac{2}{13}\) or \(\frac{15}{13}\)

Step-by-step explanation:

You would just put 15 over 13 to make it an improper fraction then you would simplify it to \(1\frac{2}{13}\)

The result of dividing 15 by 13 in fraction form is 15/13.

When you divide 15 by 13, you can express the result as a fraction. The numerator of the fraction represents the dividend (15), and the denominator represents the divisor (13).

So, 15 divided by 13 can be written as:

15/13

This fraction is in its simplest form and represents the division of 15/13.

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The values of m and n are 2.5 and 6, respectively

The size of the computer hard disk is given as:

\(a = 7.5 \times 10^7\)

The size after adding the extra memory stick is given as:

\(b = 7.75 \times 10^7\)

The size (s) of the memory stick is calculated by subtracting the size of the computer hard disk before and after adding the memory stick.

This is represented as:

\(s =b -a\)

So, we have:

\(s =7.75 \times 10^7 -7.5 \times 10^7\)

Factor out 10^7

\(s =(7.75 -7.5 )\times 10^7\)

Subtract 7.5 from 7.75

\(s =0.25\times 10^7\)

Rewrite as:

\(s =2.5\times 10^6\)

From the question, we have:

\(s =m\times 10^n\)

So, the equation becomes

\(m\times 10^n = 2.5\times 10^6\)

By comparison:

\(m =2.5\)

\(n = 6\)

Hence, the values of m and n are 2.5 and 6, respectively

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Answer:

Step-by-step explanation:

Step one:

given data

the cost of the laptop= $800

initial payment= $200

monthly payment = $60

let the number of months be x

the expression for the situation is the function for the equation of line

y=mx+c

Step two:

the expression for the situation is

800=200+60x

solve for x

800-200=60x

400=60x

divide both sides by 60

x=400/60

x=6.7

Approximately 7 months

Answer:

So, The answer would be 1=k

Step-by-step explanation:

My step is to make a T-chart, as u make it put X on one side and Y on the other

So what i did was i put 0 for both of them because it had start at 0

then i followed the line to the dot as i did that It has 6,6 so then i figured out what multiply all those number and the answer was 1=k

And another way you could do it was to make 6,6 and fraction like 6/6 then divde them both and get 1=k

So you would put the answer as 1

thats it Answer-1

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