A circular pond has a radius of 9 meters. Using 3.14 for, which two of the following statements
are true?

The area of the pond is 254.34 square meters.

The area of the pond is 1017.36 square meters.

The circumference of the pond is 14.13 meters.

The circumference of the pond is 28.26 meters.

The circumference of the pond is 56.52 meters.

Answer:

- 1

Step-by-step explanation:

The average rate of change of g(x) in the close interval [ a, b ] is

\(\frac{g(b)-g(a)}{b-a}\)

Here [ a, b ] = [ 3, 6 ] , then

g(b) = g(6) = 6² - 10(6) + 19 = 36 - 60 + 19 = - 5

g(a) = g(3) = 3² - 10(3) + 19 = 9 - 30 + 19 = - 2

average rate of change = \(\frac{-5-(-2)}{6-3}\) = \(\frac{-5+2}{3}\) = \(\frac{-3}{3}\) = - 1

Answer:

4

Step-by-step explanation:

the ratio is 8/5, so the inverse would be 5/8, then it went up to 10, so it would be 10/4

The area of the region interior to r^2 = 4 cos 2θ is 2 square units.

To find the area of the region interior to the polar equation r^2 = 4 cos 2θ, we need to integrate the expression for the area element in polar coordinates, which is 1/2 r^2 dθ. Since we are looking for the area within a certain range of θ, we will need to evaluate the integral between the limits of that range.

The given polar equation r^2 = 4 cos 2θ is equivalent to r = 2√cos 2θ. This indicates that the graph of the equation is an ellipse centered at the origin, with major axis along the x-axis (θ = 0, π) and minor axis along the y-axis (θ = π/2, 3π/2).

To find the limits of integration for θ, we can use the fact that the equation is symmetric about the y-axis (θ = π/2), and therefore we only need to consider the area between θ = 0 and θ = π/2. Thus, the area A of the region interior to the equation is given by:

A = 1/2 ∫[0,π/2] (2√cos 2θ)^2 dθ
A = ∫[0,π/2] 4 cos 2θ dθ
A = [2 sin 2θ] from 0 to π/2
A = 2 sin π - 2 sin 0
A = 2
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According to the diagram, we can conclude:

Answer:

x = 25 and x = 47

Step-by-step explanation:

(9)

The given angles are vertical and congruent , then

2x + 10 = 60 ( subtract 10 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25

(10)

The given angles are vertical and congruent , then

2x + 6 = 100 ( subtract 6 from both sides )

2x = 94 ( divide both sides by 2 )

x = 47

Answer:

Increases from points 0x,-6y to 2x,-3y.

Step-by-step explanation:

Answer: According to the law of reflection, the angle of incidence is equal to the angle of reflection. Therefore, if the angle of incidence is 30°, the value of the angle of reflection is also 30°.

Step-by-step explanation:

The correct answer is option 4) 0.85 euros. The value of $1 in euros is approximately 0.8475 euros.

The value of $1 in euros can be calculated by taking the reciprocal of the exchange rate. If one euro is worth $1.18, then the value of $1 in euros would be:

1 / 1.18 = 0.8475 euros

Rounding to two decimal places, the value of $1 in euros is approximately 0.85 euros. Therefore, the correct answer is option 4) 0.85 euros.

To calculate the value of $1 in euros, we need to determine the reciprocal of the exchange rate between euros and dollars. In this case, if one euro is worth $1.18, we can find the value of $1 in euros by taking the reciprocal of 1.18.

Reciprocal of 1.18 = 1 / 1.18 = 0.8475

Therefore, the value of $1 in euros is approximately 0.8475 euros.

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The candle that will burn out first is the yellow candle rather than the blue candle.

Blue candle:

1/4 inch per hour or 0.25 inches per hour

8 / 0.25 = 32 hours to completely burn out

Yellow candle:

1/2 inch per hour or 0.5 inches per hour

12 / 0.5 = 24 hours

If the blue candle is lit 6 hours before the yellow candle then:

Blue candle: 32 - 6 = 26 hours left

Yellow candle: 24 hours left

This means the yellow candle will burn out first.

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Answer:

ME

Step-by-step explanation:

if it is a negative exponent, you have to change it

8^5times 8^9 I think

Answer:

I don't but i can see if my shadow clones do! MULTI SHADOW CLONE JUTSU!!!!

Step-by-step explanation:

They don't...

Answer:

7) y = -6x^2 + 60x

a. -6x^2 + 60x = 0

-6x(x - 10) = 0

x = 10 seconds

b. The highest point occurs at 5 seconds.

-6(5^2) + 60(5) = -150 + 300 = 150 feet

c. -6x^2 + 60x = 96

-6x^2 + 60x - 96 = 0

6x^2 - 60x + 96 = 0

x^2 - 10x + 16 = 0

(x - 2)(x - 8) = 0

x = 2 seconds, 8 seconds

8) y = -3x^2 + 18x

a. -3x^2 + 18x = 0

-3x(x - 6) = 0

x = 6 seconds

b. The highest point occurs at 3 seconds.

-3(3^2) + 18(3) = -27 + 54 = 27 feet

c. -3x^2 + 18x = 24

-3x^2 + 18x - 24 = 0

3x^2 - 18x + 24 = 0

x^2 - 6x + 8 = 0

(x - 2)(x - 4) = 0

x = 2 seconds, 4 seconds

There are certainly hidden variables, which is the most likely explanation for this correlation. (C) States with large populations, for instance, will also have a larger percentage of infant death and high school dropouts.

When the values of one variable tend to rise as the values of the other rise, two variables are said to be positively correlated.

When the values of one variable tend to fall as the values of the other rise, two variables are said to be negatively correlated.

A favorable connection occurs when the graph's line is advancing, as in Problem 1.

In this illustration, we make the assumption that the number of years of schooling and the expected pay are positively correlated.

So, in the given situation the most likely explanation for this correlation is that there are likely lurking variables.

For instance, states with big populations will also have a higher proportion of neonatal mortality as well as high school dropouts.

Therefore, there are certainly hidden variables, which is the most likely explanation for this correlation. (C) States with large populations, for instance, will also have a larger percentage of infant death and high school dropouts.

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Complete question:

According to the 1990 census, those states with an above average number X of people who fail to complete high school tend to have an above average number Y of infant deaths. In other words, there is a positive association between X and Y. The most plausible explanation for this association is

a. X causes Y. Thus, programs to keep teens in school will help reduce the number of infant deaths.

b. Y causes X. Thus, programs that reduce infant deaths will ultimately reduce the number of high school dropouts.

c. lurking variables are probably present. For example, states with large populations will have both a larger number of people who fail to complete high school and a larger number of infant deaths.

d. the association between X and Y is purely coincidental. It is implausible to believe the observed association could be anything other than accidental.

Answer:

D. 1500 π

Step-by-step explanation:

V=πr²h

r=10

h = 15

10²=100

100 x 15 = 1500

1500π

Answer:

option D is a correct answer...

Answer:

vertices are rotation by  270° about the origin

R¹( 3, 2), S¹( 2, -1) and T¹ (-1,- 2)

Step-by-step explanation:

Explanation:-

The rule for a rotation by 270° about the origin is

( x,y) → (y,-x)

Given vertices are  R(–2, 3), S(1, 2), and T(2, –1)

Given vertices are rotation by  270° about the origin

R¹( 3,-(-2)) , S¹( 2 , -1) and T¹ (-1 , -(2))

R¹( 3, 2), S¹( 2,-1) and T¹ (-1,- 2)  

Step-by-step explanation:

you can simply multiply things out.

4/9 × y = 8/3

4y = 9×8/3 = 3×8 = 24

y = 6

or you could have transformed the right hand side into a fraction of the same denominator (9) :

8/3 = 8/3 × 3/3 = (8×3)/(3×3) = 24/9

4/9 × y = 24/9

that means 4y = 24

y = 6

Rounding to the nearest degree, the direction of u + v is approximately 17°. Therefore, the direction of u + v is 17°.

To find the direction of u + v, we need to first find the components of u and v in the x and y directions:

For vector u:

Magnitude = 50

Direction = 70°

x-component of u = magnitude * cos(direction) = 50 * cos(70°) ≈ 16.225

y-component of u = magnitude * sin(direction) = 50 * sin(70°) ≈ 47.912

For vector v:

Magnitude = 60

Direction = 240°

x-component of v = magnitude * cos(direction) = 60 * cos(240°) ≈ -30

y-component of v = magnitude * sin(direction) = 60 * sin(240°) ≈ -51.961

To find the components of u + v, we add the corresponding components of u and v:

x-component of u + v = 16.225 + (-30) ≈ -13.775

y-component of u + v = 47.912 + (-51.961) ≈ -4.049

The direction of u + v is given by the arctan of the ratio of the y-component to the x-component:

direction of u + v = arctan(-4.049/-13.775) ≈ 16.67°

Rounding to the nearest degree, the direction of u + v is approximately 17°. Therefore, the direction of u + v is 17°.

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Answer: A - rotation of 270 degrees counterclockwise about the origin

Step-by-step explanation:

When a point is rotated 270 degrees counterclockwise, the points change from (x,y) to (-y,x). We can see this when (-4,-3) turns into (-3,4) which we find by doing (-3,-4(-1).

Answer:

433345344 Answer

Step-by-step explanation:

Answer:

x intercept is 7

Step-by-step explanation:

look at where the line meets the horizontal (x) axis to find the x intercept. it should have a coordinate of (7,0) because its directly on the line.

Answer:

The difference in temperature is 16 degrees. To find the difference, you subtract the initial temperature from the final temperature: 5 - (-11) = 16.

Step-by-step explanation:

Answer:

The difference in temperature is 16 degrees. You can find the difference by subtracting the initial temperature from the final temperature: 5 degrees - (-11 degrees) = 5 + 11 = 16 degrees

Answer:

Outliers

Step-by-step explanation:

A data value with a z-score less than -3 or greater than +3 might be considered an outlier.

Answer:

251.33 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder = πr²h

r = Radius = 4 inches

h = Height = 5 inches

Volume of a Cylinder = π × 4² × 5

= 251.32741 cubic inches

Approximately , the Volume of the cylinder = 251.33 cubic inches.

The partial differential equation obtained by eliminating the arbitrary constants from the relation z = ax^2 + by^2 is ∂^2z/∂x^2 + ∂^2z/∂y^2 = 2a + 2b.

To solve the given differential equation t^2 d^2x/dt^2 + 4t dx/dt + 2x = 0, we can assume a solution of the form x = t^r, where r is a constant to be determined.

Differentiating x with respect to t, we get:

dx/dt = rt^(r-1)

Differentiating again, we have:

d^2x/dt^2 = r(r-1)t^(r-2)

Substituting these expressions into the differential equation, we get:

t^2[r(r-1)t^(r-2)] + 4t[rt^(r-1)] + 2t^r = 0

Simplifying, we have:

r(r-1)t^r + 4r t^r + 2t^r = 0

Factoring out t^r, we get:

t^r [r(r-1) + 4r + 2] = 0

For a non-trivial solution, we set t^r = 0 and solve for r:

r(r-1) + 4r + 2 = 0

r^2 + 3r + 2 = 0

(r + 1)(r + 2) = 0

Therefore, we have two possible values for r:

r = -1 and r = -2

Now we can write the general solution for x by using the superposition principle:

x(t) = c1 t^(-1) + c2 t^(-2)

where c1 and c2 are arbitrary constants.

To formulate a partial differential equation by eliminating the arbitrary constants from the relation z = ax^2 + by^2, we can differentiate z with respect to x and y:

∂z/∂x = 2ax

∂z/∂y = 2by

To eliminate the arbitrary constants, we can take the second partial derivatives of z:

∂^2z/∂x^2 = 2a

∂^2z/∂y^2 = 2b

Now, we can formulate the partial differential equation by equating the mixed second partial derivatives:

∂^2z/∂x^2 + ∂^2z/∂y^2 = 2a + 2b

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a) Sample space: {1,2,3,4,5,6} for the first toss of the die. If the result is even, then another toss is made, resulting in the sample space {2,4,6} for the second toss. If the first toss is odd, a coin is tossed, resulting in the sample space {H, T} for the coin toss.

b) Each outcome in the sample space has an equal probability of 1/6, except for the outcomes in {2,4,6}, which have a probability of 1/18 for the second toss.

c) P(a) = P(H) = 1/6, P(b) = 1/2.

d) ac: {5H}, bc: {1,3,5}, ab: { }, a∪b: {1,3,5,H}.

e) P(ac) = 1/6, P(bc) = 3/6 = 1/2, P(a∩b) = 0, P(a∪b) = 4/6 = 2/3, P(a|b) = P(ab)/P(b) = 0/1/2 = 0, P(b|a) = P(a∩b)/P(a) = 0/1/6 = 0.

f) a and b are not mutually exclusive events because there is a possibility that both events can occur together. They are not independent because the outcome of  the first toss affects the likelihood of the second toss or coin toss.

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The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

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Answer:

Step-by-step explanation:

blue p because you started at the purple go to the right 3 times and then from that line you landed on go up 8 boxes and then it is blue p

Answer:

1500

Step-by-step explanation:

1000×6÷4

250×6

1500