Tell whether
9/24
and
24/64
form a proportion.

Answer:

B

Step-by-step explanation:

Here is the complete question :

Benjamin is selecting embellishments for a child’s dresser. There are 9 wooden embellishments, 5 ceramic embellishments, and 8 metal embellishments to choose from, shown in the table below. He picks a wooden embellishment, a ceramic embellishment, and a metal embellishment. What is the probability that he picks one of the clouds, one of the dogs, and one of the stars?

Wooden Embellishments Ceramic Embellishments Metal Embellishments

2 hearts 2 cats 3 stars

3 clouds 3 dogs 5 squares

4 birds

A.1/27

B. 3/40

C. 1/9

D.3/8

The values of the temperature in degree Celsius (12 and 24) converted to degree Fahrenheit are 53.6°F and 75.2°F respectively.

In this exercise, you're required to convert the value of temperature in degree Celsius to degree Fahrenheit. Thus, we would use the following mathematical expression to do the conversion:

F(t) = 9/5C(t) + 32

When t = 12, we have:

F(t) = (9/5 × 12) + 32

F(t) = 21.6 + 32

F(t) = 53.6°F.

When t = 24, we have:

F(t) = (9⁄5 × 24) + 32

F(t) = 43.2 + 32

F(t) = 75.2°F.

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Answer:

Step-by-step explanation:

The root is the fractional part of an exponent and the power is the upper part of the exponent fraction

1)    \(\sqrt{x^{3} } = x^{\frac{3}{2} }\)

2)    \(17^{\frac{1}{5} } =\sqrt[5]{17}\)

3)   \(\sqrt[5]{y^{3} } = y^{\frac{3}{5} }\)

4)   \(z^{\frac{2}{3} } =\sqrt[3]{z^{2} }\)

The area of the walkway is 24π square meters.

To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.

The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).

A_inner = π * \(5^{2}\) = 25π square meters.

The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.

The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).

A_outer = π * \(7^{2}\) = 49π square meters.

Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.

A_walkway = 49π - 25π = 24π square meters.

The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.

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Answer

Are you sure the 31° is not a typo. It would make sense is the angle was 30° to solve for the other sides. Or do you know one more side, because then it could be solved by the Pythagorean theorem

Step-by-step explanation:

Sorry if my answer is wrong

Answer:

Thursday, 28th Jan 2021

8.38 PM

the answer in the photo

izin cerita guys,

jadi sebenernya ga ada yg namanya "kebetulan" ya kan?

hmm, jadi udah takdir ya kan?

sbnernya gw mau kenalan, tapi malu.

hmm

yoi

kalian pernah minum air cuka? yang itu lohh enak

mampir ke Palembang bung :v

yoo biso kan kito ketemu :v

sekian. btw joke kalian garing bro.

ganteng doang, .... (isi sendiri)

Check the picture below.

Answer:

x=58

Step-by-step explanation:

37+85

=122

180-122

=58

X=58

Hope this helps you!

The variable data refers to the list [10, 20, 30]. After the statement data[1] = 5, data evaluates to [10, 5, 30]. A list is one of the compound data types that Python provides. Lists can contain items of different types, but they are usually all the same type.

Lists are mutable sequences, meaning that their elements can be changed after they have been created. Lists can be defined in several ways, including by enclosing a comma-separated sequence of values in square brackets ([ ]).

The elements of a list can be accessed using indexing, with the first element having an index of 0. The second element has an index of 1, the third element has an index of 2, and so on. To change the value of an element in a list, you can use indexing with an assignment statement.

For example, the statement `data[1] = 5` changes the second element of the `data` list to 5. Therefore, after this statement, the `data` list will be `[10, 5, 30]`.

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Answer:

a: 300 Yards

b: 10 seconds

c: 5 Yards per second

To investigate whether there is an association between the choice of favorite sport to watch and gender for the population of students at the high school, a chi-square test of independence would be appropriate.

The number of degrees of freedom for the test should be based on the formula (r-1)(c-1), where r is the number of rows (in this case, the number of different sports) and c is the number of columns (in this case, 2 for male and female). So, if there were 4 different sports and 2 genders, the appropriate number of degrees of freedom would be (4-1)(2-1) = 3.

The Chi-Square Test is a statistical test that helps you determine if there is a significant association between two categorical variables, in this case, favorite sport and gender.

To calculate the appropriate number of degrees of freedom for this test, you need to know the number of categories in each variable. Let's say there are 'r' different sports and 'c' different genders (male and female). Then, the degrees of freedom for the test will be:

Degrees of Freedom = (r - 1) * (c - 1)

In this case, since there are 2 genders (male and female), and assuming 'r' sports:

Degrees of Freedom = (r - 1) * (2 - 1) = r - 1

To find the specific degrees of freedom, you need to know the number of sports categories ('r') in your dataset. Once you have this information, you can plug it into the formula above to find the appropriate degrees of freedom for the test.

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The statement that alone is enough to prove that a parallelogram is a rectangle is Opposite sides of the quadrilateral must be congruent and one angle must be 90 degrees

Option A is the correct answer.

We have,

A rectangle is a type of parallelogram with four right angles.

So, if a quadrilateral has opposite sides that are congruent and one angle is 90 degrees, then it must be a parallelogram with four right angles, i.e., a rectangle.

Statement 2 describes the properties of a rhombus, which is a special type of parallelogram with all sides congruent, not a rectangle.

Statement 3 describes the properties of a parallelogram, but it does not guarantee that the angles are right angles.

Therefore, it does not prove that the parallelogram is a rectangle.

Statement 4 describes the properties of a square, which is a special type of rectangle with all sides congruent, not a general rectangle.

Thus,

Opposite sides of the quadrilateral must be congruent and one angle must be 90 degrees is enough to prove that a parallelogram is a rectangle.

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Answer:

5

Step-by-step explanation:

Plug in this question into your calculator. This question is also equivalent to \(125^\frac{1}{3}\).

Answer:

its 7/8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Answer:

11.875

Step-by-step explanation:

Answer: Yes, when they each but 4 shirts they will both have a total of 129$

Step-by-step explanation:

The average gradient of the stream is 0.3 meters/kilometer (m/km).

To calculate this, we need to determine the change in elevation over the distance of 200 kilometers. Therefore, the difference in elevation is 600 meters (the starting elevation) minus the elevation at the ocean (assumed to be 0 meters). Dividing this difference (600 meters) by the distance (200 kilometers) gives us the average gradient: 0.3 m/km.

It is important to remember that this is only an average, and the gradient of a stream is not constant throughout its course. Factors such as terrain, obstacles, and rainfall will all affect the gradient of the stream, making it higher or lower at certain points. It is also important to note that a negative gradient means the elevation of the stream is decreasing, while a positive gradient indicates that the elevation is increasing.

In conclusion, the average gradient of the stream beginning at 600 meters and flowing 200 kilometers to the ocean is 0.3 m/km.

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Answer:

6 is the answer

Step-by-step explanation:

Answer:

W=x/7+ 8z/7 + 4/7

Step-by-step explanation:

The monthly payment for an $8,720 loan at 12.5 percent for 15 years is $312.84

The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

Given

P = $8720

r = 12.5% = 0.125
n = 12
t = 15

Substitute

A = 8720(1+0.125/12)^180
A = 1.8622 *  8720

A = $56,312.74

Monthly payment = 56,312.74/180
Monthly payment = 312.84

Hence the monthly payment for an $8,720 loan at 12.5 percent for 15 years is $312.84

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Answer:

6.25%

Step-by-step explanation:

percentage of red = ( no. of red markers / total no. of markers) *100

                              = 28 *100 / 448

                               = 6.25%

Answer:

\(\sqrt{5^{2} } +\sqrt{6}^{2} =7.81\)

Answer:

84,350

Step-by-step explanation:

843.5 x 10^2 = answer

Answer:

84350

Step-by-step explanation:

In the point (r, θ), r signifies the distance from O to P, while θ represents the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

For the point (r, θ), r is the distance from O to P, and θ is the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

In polar coordinates, a point is represented by its distance (r) from the origin (O) and the angle (θ) it forms with the positive x-axis. The distance (r) denotes the length of the line segment connecting the origin to the point P. It indicates how far the point is from the origin. The angle (θ) represents the rotation or angular position of the line segment ¯¯¯¯¯¯¯¯OP from the polar axis (positive x-axis) in a counterclockwise direction. It determines the direction in which the point is located relative to the polar axis.

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Answer:

the range is 0 to +infinity

Step-by-step explanation:

you can draw the function to check

A function assigns the value of each element of one set to the other specific element of another set. The range of the function is [-3,∞).

The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.

Given that the domain of the function is x∈R, therefore, if we plot the function on the graph, then the function will look as shown below.

Now, to know the range of the function we need to look at all the values that y can take. Therefore, the value that y can take is -3 to +∞.

Hence, the range of the function is [-3,∞).

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Answer:

（4x＋2）*2＋（6x）*2＝84feet

8x＋12x＋2＝84

20x＋2＝84

20x＝82

x＝4.1

18.4*24.6＝452.64

ans：452.64

Answer:

82 miles

Step-by-step explanation:

When they stop, Harry is 18 miles north and Selma is 80 miles east

Their positions form the vertices of a right triangle with legs 18 and 80

Their distance from each other will be the hypotenuse of this triangle given by the Pythagorean theorem

\(c = \sqrt{a^{2} + b^{2}}\)

where c is the hypotenuse and a, b the shorter legs

Given a = 18, b = 80

\(c = \sqrt{18^{2} + 80^{2}}\\\\c = \sqrt{324 + 6400}\\\\c = \sqrt{6724}\\\\\\c=82\\\\\)

b can be written as a linear combination of a1 and a2 with weights x1 = 3 and x2 = 3.
Thus, (b) x1 = 3, x2 = 3 is the right response.

To determine whether b can be written as a linear combination of a1 and a2, we need to find weights x1 and x2 such that x1a1 + x2a2 = b.

Here a1 = [2 6 -4], a2 = [-2 6 6], and b = [0 36 6], we have the following system of equations:

2x1 - 2x2 = 0
6x1 + 6x2 = 36
-4x1 + 6x2 = 6

Solving for x1 and x2, we have:

From the first equation, we can write x1 = x2.

Substituting x1 = x2 in the second equation, we get:
6x1 + 6x1 = 36
12x1 = 36
x1 = 3

Since x1 = x2, we have x2 = 3 as well.

Now, substituting the values of x1 and x2 in the third equation, we get:
-4(3) + 6(3) = 6
-12 + 18 = 6
6 = 6

Since the system is consistent, there is a solution. Therefore, b can be written as a linear combination of a1 and a2 with weights x1 = 3 and x2 = 3.

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We use the identity $\sin(A-B)=\sin A\cos B-\cos A\sin B$ to get the result. This proofs that the equation is complex number:

Using complex numbers, we can prove the identity:

sin{(2n+1)sin(θ)/(2n+1) sin(θ) = ∏ ⁿr₋₁ (1− sin²θ)/ sin²(rπ/(2n+1)

This identity is useful in many areas of mathematics and physics, such as in the study of Fourier series and the properties of Chebyshev polynomials.

To prove this identity, we start by expressing the left-hand side in terms of complex exponentials:

sin(2n+1)sin(θ)/sin(2n+1)θ = 2i(2n+1)sin(θ)

= e ^ i(2n+1)θ −e ^−i(2n+1)θ

We can then write the denominator as a product of factors of the form $(e^{i\theta}-e^{-i\theta})$, and the numerator as a sum of terms of the form $e^{im\theta}$, where $m$ is an odd integer between $-2n-1$ and $2n+1$:

e^ i(2n+1)θ −e ^ −i(2n+1)θ = 2i(2n+1)sin(θ)

1/ 2i(2n+1) ∏ k=1 2n+1 (e^iθ −e ^−iθ) −2isin( 2n+1kπ ))+ 1/2i(2n+1) ∏ k=1 2n+1

​ = (e^ iθ −e^−iθ +2isin( 2n+1kπ ))

Next, we simplify the products by using the identity $e^{i\theta}-e^{-i\theta}=2i\sin\theta$, and grouping the factors into pairs:

2i(2n+1)sin(θ)e^ i(2n+1)θ −e^ −i(2n+1)θ

= 1/ 2i(2n+1)​ ∏ r=1 n (1− sin 2 ( 2n+1rπ )sin 2θ )(e ^ i(2n+1−2r)θ −e^−i(2n+1−2r)θ )

We then use the identity $e^{ix}-e^{-ix}=2i\sin x$, and simplify the remaining terms:

2i(2n+1)sin(θ)e^i(2n+1)θ −e^ −i(2n+1)θ =∏ r=1n

​(1− sin) 2 ( 2n+1rπ)sin 2θ ) = (2n+1−2r)sin(θ) / sin((2n+1−2r)θ)

​

Finally, we use the identity $\sin(A-B)=\sin A\cos B-\cos A\sin B$, and simplify the terms in the numerator: Using complex numbers, we can prove the identity:

sin(2n+1)sin(θ)/sin(2n+1)θ=∏ r=1n(1− sin 2( 2n+1rπ)sin 2 θ)

This identity is useful in many areas of mathematics and physics, such as in the study of Fourier series and the properties of Chebyshev polynomials.

To prove this identity, we start by expressing the left-hand side in terms of complex exponentials:

We can then write the denominator as a product of factors of the form $(e^{i\theta}-e^{-i\theta})$, and the numerator as a sum of terms of the form $e^{im\theta}$, where $m$ is an odd integer between $-2n-1$ and

2i(2n+1)sin(θ) = e^i(2n+1)θ −e ^−i(2n+1)θ

= 1/2i(2n+1)∏ k=1 2n+1 (e^ iθ−e ^−iθ −2isin( 2n+1kπ ))+ 1/ 2i(2n+1)

∏ k=1 2n+1(e^ iθ −e ^−iθ +2isin( 2n+1kπ ))

Next, we simplify the products by using the identity $e^{i\theta}-e^{-i\theta}=2i\sin\theta$, and grouping the factors into pairs:

2i(2n+1)sin(θ)e^i(2n+1)θ −e^−i(2n+1)θ

= 1/2i(2n+1)∏ r =1 n( 1− sin 2 ( 2n+1rπ )sin 2 θ )

(e^ i(2n+1−2r)θ −e^ −i(2n+1−2r) )

We then use the identity $e^{ix}-e^{-ix}=2i\sin x$, and simplify the remaining terms.​Finally, we use the identity $\sin(A-B)=\sin A\cos B-\cos A\sin B$, and simplify  the terms in the numerator.

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The plot coordinates are given as (9, 5).

Note that the coordinates of a point are given in the form (x, y).

x is the value on the x-axis, which is the horizontal axis that moves left to right, while y is the value on the y-axis that moves up and down.

There are two possible first two steps to take to plot (9, 5):

1) Start at the origin.

2) Either take 9 steps to the right, and take 5 steps upwards.

From this, we can pick OPTIONS E and H

since the powers are same, ignore 'em , and let's calculate the bases.

-16.(1/2)

-8.1 (upon cancellation)

ans = -8

hope it helps...!!!

Answer:

14 feet

Step-by-step explanation:

c = πd

Plug in the givens

43.96 = 3.14d

Divide both sides by 3.14

14 = d

Answer:

Diameter = circumference ÷π

43. 96÷3. 14 =14 feet