Find the circumference of the circle. Give the exact circumference and then an approximation. Use - 3.14.29 cmThe exact circumference of the circle is(Simplify your answer. Type an exact answer in terms ofT.)The approximate circumference of the circle is(Type a whole number or decimal rounded to the nearest hundredth as needed.)

Answer:

1. Point C

2. a clockwise

Step-by-step explanation:

Got the question right

Answer:

correct answer below

Step-by-step explanation:

Answer:

56+56=112 16kg

112+42=154 42 = 6kg

Step-by-step explanation:

Answer:

Amount of water are equivalent = 15,000

Step-by-step explanation:

Given:

5 ppb (parts per billion)

Drop of water = 75,000

Find:

How many gallons of water are equivalent

Computation:

Amount of water are equivalent = Drop of water / Parts per billion

Amount of water are equivalent = 75,000 / 5

Amount of water are equivalent = 15,000

Answer:

1 1/3

Step-by-step explanation:

take the denominator and times it to the mixed number.

so 3*1 = 3

then add the numerator to that, so

3 + 1 = 4

making it, 4/3

Answer:

9/2=m

Step-by-step explanation:

3/4=m/6

m/6×3/4

18/4m

9=2m

m=9/2

Answer:

The percentage of 18 people out of 50 is 36 %

Step-by-step explanation:

The percentage refers to the per hundred or hundredths and is ended with the symbol %.  By dividing two amounts, ratios and percentages are both used to compare the two amounts.

so,

Therefore the percentage of 18 people out of 50 people is 36 %.

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Answer:

Area of Trapezoid = (b1 + b2)h

                                         2

Area = (9 in + 17 in) (3 in = 1/4 ft)

                      2

A = (26 in)(3 in)/2

A = 78 in2/2

A = 39 in2

Perimeter = bi + b2 + 2l

             P = 9in + 17 in + 2(5 in)

             P = 26 in + 10 in

             P = 36 inches

The whole number for the given rational number is 409.

Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.

Given that, 3000/7.333333.

Here, take x=7.3333...... ------(I)

Multiply equation (I) by 10, we get

10x=73.3333...... ------(II)

Subtract equation (I) from equation (II), we get

9x=66

x=66/9

x=22/3

Now, 3000÷22/3

3000×3/22

= 9000/22

= 409

Therefore, the whole number for the given rational number is 409.

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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If he borrowed $1400 at 9% simple interest to be paid back in 2 years. The  interest he will pay is $1,663.34.

Using this formula

Interest = Principal ( 1+ Interest rate)^ time

Where:

Interest =?

Principal = $1400

Interest rate = 9% or 0.09

Time = 2 years

Let plug in the formula

Interest = $1,400 ( 1+ 0.09) ^ 2

Interest = $1,400 ( 1.09) ^2

Interest = $1,400 ( 1.1881)

Interest = $1,663.34

Therefore he will pay the amount of $1,663.34 as interest.

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The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)

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

y = –2 cos (x + π/2) + 1.

Calculating the maximum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the maximum points to be (π/2, 3)

Calculating the minimum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the minimum points to be

(3π/2, -1) (-π/2, -1)

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Answer: 25

Step-by-step explanation: just replace the variables with the numbers and multiply and then add!

Answer:The result can be shown in multiple forms.

Point Form:

(-1,-1)

Equation Form:

x= - 1,y = -1

Step-by-step explanation:

just do it

The meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds

The functions are given as:

So, the interpretation of the function c(p(t)) is

The number of calories burned doing push-ups in t seconds

In c(p(45)), the value of t is 45

Hence, the meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds

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Answer:

yes

Step-by-step explanation:

-12 and 7 both are integers so it will be a rational number.

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.

An irrational number is a number that cannot be written as p/q where p and q both are integers.

Since -12/7 here -12 and 7 both are integers so it will be a rational number.

Hence "-12 and 7 both are integers so it will be a rational number".

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Answer:

2 tens or 20

9 millions or 9000000

4 ten thousandths or 0.0004

The graph of g(x) is on the image at the end, and the correct option for the transformation is B.

We define a horizontal dilation of scale factor k as:

g(x) = f(k*x)

if k > 1, we have a stretch.

if  0 < k < 1, we have a shink of scale factor 1/k

Here we have:

g(x) = f (5x) = 5x - 4

We can notice that k = 5, then we have a stretch, thus, the correct option is B.

The graph of function g(x) can be seen in the image at the end.,

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So, the standard deviation of the probability distribution is approximately 2.780.

To find the standard deviation for the probability distribution, we first need to find the mean (or expected value) of the distribution.

The mean is given by:

μ = ∑(x * P(x))

where x is the number of adults with a college degree and P(x) is the corresponding probability from the table.

μ = (00.0081) + (10.0756) + (20.2646) + (30.4116) + (4*0.2401)

μ = 2.8

So, the mean number of adults with a college degree in a sample of 4 is 2.8.

Next, we can use the formula for the standard deviation of a probability distribution:

σ = √∑[(x - μ)² * P(x)]

where x is the number of adults with a college degree, μ is the mean we just calculated, and P(x) is the corresponding probability from the table.

σ = √ [(0-2.8) ²0.0081 + (1-2.8) ²0.0756 + (2-2.8) ²0.2646 + (3-2.8) ²0.4116 + (4-2.8) ²*0.2401]

σ = √ [7.72404]

σ = 2.780

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Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer:

40.56

Step-by-step explanation:

Answer: about 7 cents

Step-by-step explanation:

1.69/24=0.07..

Answer:

no

Step-by-step explanation:

most probably a linear function. y = mx +b. what you have to notice here is the X, if the X has no exponents on it, then it is usually linear, but if the X is X squared or higher then it would not be a linear function.

Answer:

Step-by-step explanation:

In the first part, we are given the function:

\(\int \dfrac{x^6}{\sqrt{1+x}^2} \ dx\)

Suppose we make x = tan θ

Then dx = sec² θ.dθ

\(= \int \dfrac{tan^6 (\theta)}{\sqrt{1+ tan ^2 \theta }}* dx\)

\(= \int \dfrac{tan^6 (\theta)}{\sqrt{1+ tan ^2 \theta }}* sec ^2 (\theta) * d\theta\)

Since; sec² θ - tan² θ = 1

sec² θ = 1+ tan² θ

\(sec \ \theta = \sqrt{1 + tan^2 \ \theta}\)

∴

\(= \int \dfrac{tan^6 (\theta)}{sec \ \theta}* sec ^2 (\theta) * d\theta\)

\(= \int tan^6 (\theta)* sec (\theta) * d\theta\)

Thus; In the first part, Use x = tan θ, where  \(- \dfrac{\pi}{2} < \theta <\dfrac{\pi}{2}\), since the integrand comprise the expression \(\sqrt{1+x^2}\)

From the second part by using substitution method;

\(\int \dfrac{x^6}{\sqrt{1+x^2}} \ dx = \int \mathbf{tan^6(\theta) * sec ( \theta) } \ d \theta\)

Answer:

D - 41.6pi ft.

Step-by-step explanation:

the 16.1 is the radius of the inner circle, add the 4.7 to that and you get 20.8 multiply that by 2 to get the diameter and you get 41. The formula to get circumference is pi x diameter, so D

\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

Answer: 47

Step-by-step explanation:

Δy/Δx=292-10/6-0=282/6=47

Answer:

x = 14

Step-by-step explanation:

Let's solve for the value of x,

→ x + 8 = 22

→ x = 22 - 8

→ [ x = 14 ]

Hence, the number is 14.

Answer:

the number can be represented by x.

so x=7.

Step-by-step explanation:

Answer:

2(x^2+1-2x)+1=

2x2+2-4x+1=

2x2-4x+3

Step-by-step explanation: