Emma buys a bag of assorted buttons to use for a craft project . In the bag ,there are 18 white buttons, 9 black buttons , and 3 blue buttons . She randomly selects one button from the bag, replaces it, then randomly selects another button . What is the probability that she selects a white button and a blue button? A. 0.7 B 0.6 C 0.18 D 0.06

Answer:

2 1/6 yards

Step-by-step explanation:

Nina made 14 curtains of the same length out of 30 1/3 yards of fabric. What is the length of the curtain?

14 curtains = 30 1/3 yards

1 curtain = x yard

Cross Multiply

14 curtains × x yard = 30 1/3 yards × 1 curtain

x yards = 30 1/3 yards × 1 curtain /14 curtains

x yards = 30 1/3 yards /14

x yards = 30 1/3 ÷ 14

x yards = 91/3 × 1/14

x yards = 91/42

x yards = 2 7/42

x yards = 2 1/6 yards

Therefore, the length of the curtain is 2 1/6 yards

The angle ∠AGB and ∠EGD are equal angles / opposite angles / vertical angles.

Given,

∠AGB and ∠EGD

We need to find what types of angles are ∠AGB and ∠EGD.

Vertical angles are angles that are opposite of each other when two lines cross.

Vertical angles are always equal.

We have,

∠AGB and ∠EGD are vertical angles

∠AGB = 30 = ∠EGD

∠CGD and ∠AGF are vertical angles.

∠CGD = 50 = ∠AGF

∠BGC and ∠FGE are vertical angles.

∠BGC = ∠FGE = 2x

We know that,

A straight angle is 180.

∠FGC =180

∠FGC = ∠AGF + ∠AGB + ∠BGC

180 = 50 + 30 + ∠BGC

180 - 50 - 30 = ∠BGC

180 - 80 = ∠BGC

∠BGC = 100

∠FGE = 100

We also see that,

∠FGC = ∠FGE + ∠EGD + ∠CGD

180 =  100 + ∠EGD + 50

180 - 150 = ∠EGD

∠EGD = 30

We see that,

∠EGD = 30°

∠AGB = 30°

Thus, the angle ∠AGB and ∠EGD are equal angles / opposite angles / vertical angles.

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Answer:

of course just go to my page

Step-by-step explanation:

Answer: The 3rd one

Step-by-step explanation:

A square is a shape with all of the same sides.

I she wants to paint 1 side, which each edge is 10 ft, you would need 10x10. Exponent form would be the same thing as the 3rd one.

Answer:

hey

Step-by-step explanation:

Thus, Jamie is wrong. In contrast to Bus C, Bus B has less unoccupied seats as a percentage of total seats.

% is a relative number that is used to represent hundredths of the any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage.

Find the complete seating capacity in Bus A first:

Bus A has 28% of the available seats, making its seat count 0.28 x 250 = 70.

Secondly, we can construct an equation system using the number of seats in Bus B compared to Bus C:

The number of seats aboard Bus B will be x.

In that case, Bus C's seating capacity is (2/3)x.

Using the information that there are 250 seats overall, we can find x:

70 (from Bus A) + x (from Bus B) + (2/3)x (from Bus C) = 250

When we simplify this equation, we obtain: (5/3)x = 180

When we solve for x, we get x = 108.

Bus C has (2/3)x = 72 seats, but Bus B has 108 seats.

We can now determine the proportion of vacant seats for each bus:

Out of a total of 108 seats, 38 seats on Bus B are vacant, making the percentage of vacant seats in Bus B (38/108) x 100% = 35.19%.

Out of a total of 72 seats, there are 26 empty seats on Bus C, making the percentage for empty seats there (26/72) x 100% = 36.11%.

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Answer:

what paper is this for this question

\(( \frac{ - 24}{6} + ( - 8)(2) {}^{2} - 3) + 92 \\ ( - 4) + ( - 8) \times 4 - 3 + 92 \\ ( - 4) + ( - 8) \times 4 - 96 \\ ( - 12) \times 4 - 96 \\ ( - 48) - 96 \\ = 134\)

Hey there!

-[24/6 + (-8)(2)^2 - 3] + 92​

= -(24/6 - 8(2)^2 - 3 + 92

= -(4 - 8(-2)^2 - 3 + 92

= -(4 - 32 - 3) + 92

= -(-28 - 3) + 92

= 31 + 92

= 123

Therefore, your answer is: 123

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Theoretically, there is 0 chance of turning a 9 in this probability.

The probability is the proportion of favourable results to all results in the sample area. Probability of an occurrence P(E) = (Number of favourable outcomes) is how it is stated. (Sample space). In cases where it is impractical or financially unfeasible to perform repeated experiments, theoretical probability is necessary.

When calculating the probability of 9, in chance

(assuming the probability is the same on each spin) is (0/6) .

P(E)=(Number of favorable outcomes)÷(Sample space).

= 0 ÷ 6

= 0.

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Answer:

Slope = 2

Step-by-step explanation:

(x₁ , y₁) = ( 1 , 1)   & (x₂,y₂) = (-1,-3)

\(Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-3-1}{-1-1}\\\\=\dfrac{-4}{-2}\\\\=2\)

Answer:

1. (7, 0)

2. (11, 3)

4. (−1, −6)

These are correct

Answer:

Step-by-step explanation:

The expression 191 divided by 3 equals 63.66666666666667 (approximately 64)

while shopping for clothes, Daniel spent $26 less than 2 times what curtis spent. Daniel spent $10. write and solve an equation to find how much curtis spent. let x represent how much curtis spent​

Let

x ------> amount that Curtis spent

we have that

10=2x-26 ------> equation that represent this situation

solve for x

2x=10+26

2x=36

x=$18

therefore

A)  The half range sine and cosine series of f(x) = x(π - x) are:

f(x) = (π^2/4) + ∑[n=1,∞] {(4/πn^3) [(-1)^n - 1]} sin(nx)

B) The half range sine and cosine series of f(x) = cos(x) are:

f(x) = ∑[n=1,∞] {(2/n) [(-1)^n - 1]} sin(nx)

a) To find the half range sine and cosine series of f(x) = x(π - x), we first need to extend the function to an odd periodic function over [-π, π]. We can do this by reflecting the function about the y-axis.

Extended function:

f(x) = x(π - x), -π ≤ x ≤ π

Then, we can find the Fourier series coefficients as follows:

a0 = (1/π) ∫[-π,π] f(x) dx

= (1/π) ∫[0,π] x(π-x) dx

= π^2/2 - π^2/4

= π^2/4

an = (2/π) ∫[0,π] f(x) sin(nπx/π) dx

= (2/π) ∫[0,π] x(π-x) sin(nx) dx

= (4/πn^3) [(-1)^n - 1]

bn = 0 (since f(x) is an even function)

Therefore, the half range sine and cosine series of f(x) = x(π - x) are:

f(x) = (π^2/4) + ∑[n=1,∞] {(4/πn^3) [(-1)^n - 1]} sin(nx)

(b) To find the half range sine and cosine series of f(x) = cos(x), we first need to extend the function to an even periodic function over [-π, π]. We can do this by using the even symmetry of cos(x).

Extended function:

f(x) = cos(x), -π ≤ x ≤ π

Then, we can find the Fourier series coefficients as follows:

a0 = (1/π) ∫[-π,π] f(x) dx

= (1/π) ∫[0,π] cos(x) dx

= (1/π) [sin(π) - sin(0)]

= 0

an = 0 (since f(x) is an even function)

bn = (2/π) ∫[0,π] f(x) sin(nπx/π) dx

= (2/π) ∫[0,π] cos(x) sin(nx) dx

= 2/n [(-1)^n - 1]

Therefore, the half range sine and cosine series of f(x) = cos(x) are:

f(x) = ∑[n=1,∞] {(2/n) [(-1)^n - 1]} sin(nx)

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The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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

Explanation:

Plug in n = 2

f(n) = 2*f(n-1)

f(2) = 2*f(2-1)

f(2) = 2*f(1)

f(2) = 2*1  ............. replace f(1) with 1, since f(1) = 1

f(2) = 2

Do so for n = 3

f(n) = 2*f(n-1)

f(3) = 2*f(3-1)

f(3) = 2*f(2)

f(3) = 2*2  ............. replace f(2) with 2, since f(2) = 2

f(3) = 4

Then replace every copy of n with 4.

f(n) = 2*f(n-1)

f(4) = 2*f(4-1)

f(4) = 2*f(3)

f(4) = 2*4  ............. replace f(3) with 4, since f(3) = 4

f(4) = 8

Repeat for n = 5

f(n) = 2*f(n-1)

f(5) = 2*f(5-1)

f(5) = 2*f(4)

f(5) = 2*8  ............. replace f(4) with 8, since f(4) = 8

f(5) = 16

Then finally n = 6

f(n) = 2*f(n-1)

f(6) = 2*f(6-1)

f(6) = 2*f(5)

f(6) = 2*16  ............. replace f(5) with 16, since f(5) = 16

f(6) = 32

The sequence is 1, 2, 4, 8, 16, 32, ...

This is the sequence of powers of 2. Each new term is found by doubling the previous term.

The closed form equation of this is \(a_n = 2^{n-1}\). Plugging n = 6 into that will lead to \(a_6 = 32\)

Answer:

a) To determine the appropriate class interval for a dataset with 10 classes that ranges from 25 to 200, we can use the following formula:Class Interval = (Max Value - Min Value) / Number of ClassesClass Interval = (200 - 25) / 10Class Interval = 17.5Therefore, an appropriate class interval for this dataset would be 17.5.

b) To determine the number of classes for a dataset with 230 observations, we can use the following formula: Number of Classes = √(Number of Observations)Number of Classes = √(230)Number of Classes = 15.165So we should have around 15-16 classes.

c) To determine the location of the 60th percentile in a dataset with 120 observations, we can use the following formula:60th Percentile = (Percentile Rank / 100) x Number of Observations60th Percentile = (60 / 100) x 12060th Percentile = 72Therefore, the 60th percentile is located at the 72nd observation.

To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.

1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:

V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49

We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:

V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)

Here is a more detailed explanation of the substitution:

In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.

When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3

In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.

When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)

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Answer:

x=-1/9; -1/9; (-1/9,0)

(each one is a different way to write the answer)a

Step-by-step explanation:

Zeros of a function are when the y-value of a point on a graph is equal to 0. Plugging in 0 for y in this equation of the function we get 0=-9x-1, which we can solve by adding 9x to both sides of the equation to get 0+9x=-9x+9x-1, or 9x=-1, and divide both sides by 9 to get x=-1/9

Answer:

4 servings

Step-by-step explanation:

Yogurt in the container = 1 5/8 pounds

A serving = 3/8 pounds

how many servings of yogurt are in the container?

Servings in the yogurt container = total yogurt in the container / yogurt per servings

= 1 5/8 ÷ 3/8

= 13/8 × 8/3

= 13/3

= 4.33

To the nearest whole serving

= 4 servings

Answer:

C

Step-by-step explanation:

Answer:

x ≤ -3

Step-by-step explanation:

3 - 5x ≥ 18

-5x ≥ 18 - 3

-5x ≥ 15

x ≤ -3

Answer:

B, C, and E

Step-by-step explanation:

B because 0.75*10=7.5. C because 4*0.75=3. And E because 0.75 is how much each snickers bar is is that is the unit price

For 9 cups of oats, 27 cup water is needed.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Let for 9 cups of oats x cup of water is required.

Given that,

For 6 cups of oats, 18 cup of water is required.

To solve for the value of x, use ratio property

6 cups of oats= 18 cup water

⇒1 cup of oats = 3 cup water

⇒9 cup of oats = 27 cup water

For 9 cups of oats, there will be 27 cup water required.

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Answer:

Step-by-step explanation:

To solve the system of equations:20x + 4y = 168x + y = 18, we can use substitution or elimination method.Substitution method:We can solve one equation for one variable, substitute the expression into the other equation, and solve for the other variable.x + y = 18 -> y = 18 - xSubstituting y into the first equation:20x + 4(18 - x) = 168Simplifying the equation:20x + 72 - 4x = 168Solving for x:16x = 96x = 6Substituting x back into the equation y = 18 - x:y = 18 - 6y = 12Therefore, the solution to the system of equations is (x, y) = (6, 12).Elimination method:We can multiply the second equation by 4, so that the y variable in the second equation will be eliminated when added to the first equation.20x + 4y = 1684x + 4y = 72 (multiplied by 4)Simplifying the equations:20x + 4y = 1684x + 4y = 72Subtracting the second equation from the first equation:16x = 96x = 6Substituting x back into the equation x + y = 18:y = 18 - 6y = 12Therefore, the solution to the system of equations is (x, y) = (6, 12).

Step-by-step explanation:

x + y = 18. Multiply by - 4

-4x - 4y = -72

Add this equation to the equation (20x + 4y =168)

(-4x + 20x) + (-4y + 4y) = - 72 + 168

16x = 96

Substitue in the equation ( x + y = 18)

6 + y = 18

Answer:

Look below

Step-by-step explanation:

(a) The area of the shaded region is the area of the larger rectangle minus the area of the smaller rectangle.

Start by finding the area of the larger rectangle:

\(A=lw\\A=4x*8x\\A=32x^2\)

Then, find the area of the smaller rectangle:

\(A=lw\\A=4y*2y\\A=8y^2\)

Therefore the area of the shaded region is:

\(32x^2-8y^2\)

Note that we still need to factor it...

\(8(4x^2-y^2)\)

\(4x^2-y^2\ \text{can be written as a difference of squares}\)

\(a^2-b^2=(a-b)(a+b)\)

\(4x^2-y^2=(2x)^2-(y)^2=(2x-y)(2x+y)\)

Therefore the fully factored form is:

\(8(2x-y)(2x+y)\)

(b) The area of the shaded region is the area of the larger circle minus the area of the smaller circle.

Start by finding the area of the larger circle:

\(A=\pi r^2\\A=\pi R^2\)

The area of the smaller circle is:

\(A=\pi r^2\\\)

Therefore the difference is:

\(\pi R^2-\pi r^2\)

We can factor out \(\pi\)

\(\pi(R^2-r^2)\)

Note this can again be written as a difference of squares:

\((R)^2-(r)^2=(R-r)(R+r)\)

Therefore the fully factored form is:

\(\pi(R-r)(R+r)\)

The correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

To find the unknown value, k, in the proportion (k)/(1.2) = (4)/(3), we can cross-multiply and solve for k.

cross-multiplying the proportion, we have:

3k = 4 * 1.2

Multiplying the numbers:

3k = 4.8

To isolate k, we divide both sides of the equation by 3:

k = 4.8 / 3

Evaluating the division, we find:

k ≈ 1.6

Therefore, the correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

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\(=5m-2m+8+12+6m\\=5m-2m+6m+8+12\\=3m+6m+20\\=9m+20\)

The answer is 9m+20,it is equivalent to the expression in the question.

Answer:

8

Step-by-step explanation:

The following expression  →  |- 5| + |3| is equivalent to 8

The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We have the following expression -

|- 5| + |3|

For a number [x], such that [x] < 0, the absolute value would be -

v[a] = - x

and for [x] > 0

v[a] = x

So, for x = |- 5| + |3| , the equivalent expression would be -

5 + 3

8

Therefore, the following expression  →  |- 5| + |3| is equivalent to 8.

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Answer:

Z+12a−z+8+12−+8

Step-by-step explanation:

Z+8−6(z−2a)+5z

+8−6(−2)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8+12a−z+8+12−

Answer:

Z + 8 + 12a − z

12a + 8

Step-by-step explanation:

Answer:

s-b-t-s-w

Step-by-step explanation:

Answer: answer is B

Step-by-step explanation: I took the test.

Answer:

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

We know that:

Substitute and evaluate the given expression:

Answer:

I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years

Step-by-step explanation: