Find the complementary and supplementary angles. 28°29'11" The complementary angle is 1'00 The supplementary angle is '00"

Answer:

D.(-4,-8) and(2,4)

Step-by-step explanation:

y=-2x

y=x²-8

this means that the two equations are equal because they both add up to y

thus; x²-8=-2x

formulae=Ax²+bx+c=0

x²+2x-8=0

find two numbers which multiplied will give you x² and when added will give you 2x that is x and x

x²+x+x-8=0

x(x+1)+1(x-8)=0

(x+1)(x-8)=0

1)x+1=0. x= -1

1)y=-2x

y=-2(-1)=2

y=2

2)y=x²-8

y=1²-8= -8

y= -8

note*this means that the answer should have both 2 and -8 thus d is the answer

Answer:

Step-by-step explanation:

Answer:Triangle A = 7.5 Triangle B= 15 Area=22.5

Step-by-step explanation:

So first we have to get the area of Triangle A. This means we have to find the height and base of it. The base is 5 and the height is 3 as you can see in the picture. So 5x3 equals 15, but because it's a triangle we have to divide by 1/2, which makes 7.5. So the area for Triangle A is 7.5.

Now we have to find the area for Triangle B. The height is 3 and the base is 10. So like we did with Triangle A we have to multiply and then divide by 1/2. Which makes 15.

Now that you have both areas you just have to add them together. Which makes 22.5.

So 22.5 is the answer. Give brainilest if you can!

The Value of the double integral is 9/2.

To Evaluate the double integral ∫∫D x dA, we need to express the region D as a type I or type II region, and then integrate over that region.

For D enclosed by the lines y = x, y = 0, x = 3, we can see that the region is a right triangle with vertices at (0,0), (3,0), and (3,3), so it can be expressed as a type I region with:

a. D = {(x, y) | y ≤ x ≤ 3, 0 ≤ y ≤ x}

or as a type II region with:

b. D = {(x, y) | 0 ≤ y ≤ 3, y ≤ x ≤ 3}

To evaluate the double integral using either of these regions, we can use iterated integrals.

Using a type I region:

∫∫D x dA = ∫0³ ∫y³ x dy dx

= ∫0³ ∫0x x dy dx

= ∫0³ ½x² dx

= 9/2

Using a type II region:

∫∫D x dA = ∫0³ ∫0y y dx dy

= ∫0³ ½y² dy

= 9/2

.

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The critical points in the domain equal to (6,∞) of the function y = ln(x − 6) do not exist.

y =  ln(x − 6).

The function is not defined when x-6 \(\leq\) 0, i.e. x \(\leq 6\).

Therefore, the function is defined when the value of x is greater than 6 i.e. x>6.

So, the domain is equal to (6,∞).

y =  ln(x − 6)

Differentiating the value of y,

y' = d/dx [ln(x − 6)]

We know that,

d/dx (ln x) = 1/x

d/dx (x^n) = nx^n-1

d/dx (constant) = 0

y' = 1/(x-6) . d/dx (x-6)

y' =  1/(x-6) . (1-0)

y' = 1/(x-6)

For critical point y' = 0,

=> 1/(x-6) = 0

=> x-6 = 1/0 = ∞

As the value is an infinity that means that the value does not exist.

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Step-by-step explanation:

6(x - 2) = 3 - 9x

6x - 12 = 3 - 9x

-12 = 3 - 15x

-15 = - 15x

x = 1

The phrases that could be represented by the algebraic expression would be as " the sum of  1/5 of m and 4"

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. here Simplification usually involves making the expression simple and easy to use later.

We need to write phrases that could be represented by the algebraic expression;

m/5 + 4.

The 1/5 of m means m/5

Then 'the addition of  1/5 of m and 4"

Therefore the phrases that could be represented by the algebraic expression would be as " the sum of  1/5 of m and 4"

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The steps to find the inverse function are given in the development of the answer of this problem.

The inverse of a function y = f(x) is found exchanging x and y and isolating y.

In this problem, the function is:

\(f(x) = \sqrt{7x - 21}\)

Then the steps to find the inverse function is given as follows:

\(y = \sqrt{7x - 21}\)

\(x = \sqrt{7y - 21}\)

\(x^2 = 7y - 21\)

\(x^2 + 21 = 7y\)

\(\frac{1}{7}x^2 + 3 = y\)

\(\frac{1}{7}x^2 + 3 = f^{-1}(x)\), where \(x \geq 0\).

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Answer:

soh cah toa

Step-by-step explanation:

The soh mean when you want to find the sine of an angle you divide the opisite side by the hypotonus or o/h. The cah means when you want to find the cosine of an angle, you divide the adjasent line by the hypotonus or a/h. The toa means whe you want to find the tanjent of an angle, you divide the opisite line ny the adjecent line or o/a. Hope that helps with soh cah toa!

Approximately 12 percent of the people in Olde Town own both a goat and a chicken.

Let's assume there are 100 people in Olde Town. According to the given information, 40 percent of people own a goat, which means there are 40 goat owners. Additionally, 35 percent of goat owners also own a chicken, which means there are 35 percent of 40, which is 14 people, who own both a goat and a chicken.

Moreover, it is mentioned that 30 percent of people own a chicken. So, there are 30 chicken owners in Olde Town. However, we have already accounted for 14 of them who also own a goat. Therefore, there are 30 minus 14, which is 16 people who own only a chicken.

To find the number of people who own both a goat and a chicken, we add the number of people who own both to the number of people who own only a chicken: 14 + 16 = 30.

To calculate the percentage, we divide the number of people who own both by the total population of Olde Town (100) and multiply by 100: (30 / 100) * 100 = 30 percent. So, approximately 30 percent of the people in Olde Town own both a goat and a chicken, which is equivalent to 12 people.

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Given equation g = x-1/k in terms of x would be x = 1 + gk

for given question,

we have been given an equation g = x-1/k

Dyani began solving the equation g = x-1/k for x by using the addition property of equality.

We solve given equation for x.

⇒ g = x-1/k                      ..........(Given)

⇒ gk = (x - 1/k)k               .........(Multiply both the sides by k)

⇒ gk = x - 1

⇒ gk + 1 = x - 1 + 1           .........(Add 1 to each side)

⇒ gk + 1 = x

⇒ x = 1 + gk

Therefore, given equation g = x-1/k in terms of x would be x = 1 + gk

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a)The radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.b)The radius of convergence is R = |1 + i - i| = |1| = 1. c)The radius of convergence is R = |1 + i - i| = |1| = 1.

The radius of convergence of a Taylor series centered at a point z0 is the distance from z0 to the nearest singularity of the function.

(a) The function sinz/e^z has singularities at z = kπi for any integer k, and the nearest singularity to z0 = -2 is at z = -πi. Therefore, the radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.

(b) The function 1/cosz' has singularities at z = (k + 1/2)π for any integer k, which are equidistant from z0 = 0. Therefore, the radius of convergence is R = π/2.

(c) The function z^2+1/(z−i) has a singularity at z = i, which is the nearest singularity to z0 = 1 + i. Therefore, the radius of convergence is R = |1 + i - i| = |1| = 1.

Note that these radii of convergence only guarantee convergence within the radius; the series may converge or diverge at the boundary.

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Answer:

c

Step-by-step explanation:

-√-75 =

-√-25 * √3 =

-5i√3

Answer:

-1 = 1/2*4 + -3 / -1 = 1/2*4 - 3 for slope intercept equations

y + 1 = 1/2(x - 4) for point slope equations

Step-by-step explanation:

Slope intercept formula is y = mx  + b where y is the y point, x is the x point on the graph, m is the slope and b is y intercept. For this we know the slope, the x and the y axis. Now all we need to find is the y intercept, for this we would have have to multiply the x axis by the slope and then find the number to complete the equation in this case its 1/2 (slope) and 4 (x axis),

-1 = 2 + b

for this we'd subtract -2 to both sides

-1 -2 = +2 - 2 + b

Which then we'd get,

-3 = b

So our Y intercept is -3

To complete the equation we'd finish it with putting everything together,

-1 = 1/2*4 + -3 or -1 =1/2*4 -3

If it were a point slope equation (y - y₁ = m(x - x₁)) we have the y₁, x₁ and the slope value 1/2, so we have all we need to fill in the point slope equation and here it is,

y + 1 = 1/2(x - 4)

Hope this helps!

Answer:

10 cups

Step-by-step explanation:

120minutes divided into 60minutes = 2 hours

20 divided by 2 = 10 cups

Answer:

The answer is

Step-by-step explanation:

-31p+79 > -59p+81

Group like terms

Send the constants to the right side of the expression and those with variables to the left side

That's

- 31p + 59p > 81 - 79

Simplify

We have

28p > 2

Divide both sides by 28

We have the final answer as

Hope this helps you

Answer:

n – p

x= –––––

m

Hope that helps! Have a good day :)

Answer:

384 in²

Step-by-step explanation:

SA = 2(8²) +  2(8²) + 2(8²) = 384

The correct answer is e. (√3 - 1)/2.

To find the exact value of cos(-π/9), we can use the symmetry property of the cosine function.

The cosine function has a property called evenness, which means that cos(-θ) = cos(θ) for any angle θ.

In this case, we have cos(-π/9). Since the angle is negative, we can rewrite it as -(-π/9), which simplifies to π/9.

So, cos(-π/9) is equal to cos(π/9).

Now, we can determine the exact value of cos(π/9) using trigonometric identities or a calculator.

The exact value of cos(π/9) is (√3 - 1)/2.

Therefore, the correct answer is e. (√3 - 1)/2.

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Answer:

The expression of the perimeter of the triangle is 0.1x - 16 ⇒ C

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its sides

Let us solve the problem

∵ The lengths of the sides of a triangle are:

∵ The perimeter of the triangle = sum of lengths of its sides

∴ The perimeter = (0.5x + 9) + (3x) + (-3.4x - 25)

→ Add the like terms

∵ The perimeter = (0.5x + 3x - 3.4x) + (9 + -25)

→ Remember (+)(-) = (-)

∴ The perimeter = (3.5x - 3.4x) + (9 - 25)

∴ The perimeter = 0.1x + -16

∴ The perimeter = 0.1x - 16

The expression of the perimeter of the triangle is 0.1x - 16

Answer:

C.

Step-by-step explanation:

0.1x − 16

Answer:

For B it is A92B but for a

Step-by-step explanation:

I got it right on my test!

The correct order, from least to greatest, is 0.72, 1.25, 1.75, and 3.48.The given numbers, obtained using equivalent forms, are 0.72, 1.25, 1.75, and 3.48.

To arrange them in ascending order from least to greatest, we start with the smallest number: 0.72 < 1.25 < 1.75 < 3.48. Therefore, the correct order, from least to greatest, is 0.72, 1.25, 1.75, and 3.48. In this case, the numbers have been sorted by comparing their numerical values. The decimal part of each number determines its relative position, with smaller decimal parts indicating a lower value.

By comparing the numbers in this way, we can determine their order and arrange them accordingly.

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An equation that shows the proportional relationship between cups (c) and tablespoons (n) is: B. c = 0.0625n

A proportion is an equation which is typically used to indicate the equality of two (2) ratios. Therefore, proportions can be used in mathematics to show that two (2) ratios are equivalent and then used to calculate or determine all of the unknown quantities.

Mathematically, a proportional relationship can be represented by the following equation:

y = kx

Where:

Let the cups be represented by c.

Let the tablespoons be represented by n.

Next, we would determine the constant of proportionality (k) as follows:

c = kn

Making k the subject of formula, we have:

k = c/n

k = 0.5/8 ≡ 1.5/24

k = 0.0625.

Substituting the parameters into the equation for a proportional relationship, we have;

c = kn

c = 0.0625n

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Answer:

C = (8/.5)n

Step-by-step explanation:

.5 = 8

1.5 = 24

C = (8/.5)n

Because  

8 divided by .5 = 16

16 * .5 = 8

Ex.2

8 divided by .5 = 16

16 * 1.5 = 24

Step-by-step explanation:

it it can be calculated by using the quadratic formula.

X=-b+_(√b^2-4ac)/2a

a. 34 students aced at least one quiz. b. 7 students aced all three quizzes. c. 2 students aced both X and Y but not Z. d. 3 students aced both X and Z but not Y. e. 1 student aced both Y and Z but not X.

To determine the number of students who aced at least one quiz, we can add the number of students who aced X, Y, and Z together and then subtract the number of students who did not get an A on any quiz. Therefore, 21 + 19 + 17 - 1 = 34 students aced at least one quiz.

To find the number of students who aced all three quizzes, we can look at the overlapping regions. Since there are 9 students who aced both X and Y, 11 students who aced both X and Z, and 8 students who aced both Y and Z, we can find the smallest overlapping region, which is the intersection of all three sets. Therefore, 7 students aced all three quizzes.

To determine the number of students who aced both X and Y but not Z, we subtract the number of students who aced all three quizzes from the number of students who aced both X and Y. Therefore, 9 - 7 = 2 students aced both X and Y but not Z.

Similarly, to find the number of students who aced both X and Z but not Y, we subtract the number of students who aced all three quizzes from the number of students who aced both X and Z. Therefore, 11 - 7 = 3 students aced both X and Z but not Y.

Lastly, to determine the number of students who aced both Y and Z but not X, we subtract the number of students who aced all three quizzes from the number of students who aced both Y and Z. Therefore, 8 - 7 = 1 student aced both Y and Z but not X.

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Answer:

Suppose that the batch has N liters of paint.

we know that the recipe is:

1/2 of red paint

1/3 of yellow paint

1/6 of white paint.

Then, out of the N liters, 1/2 is red.

This means that we must use:

N/2 liters of red paint.

And the same for the other two colors:

N/3 liters of yellow paint

N/6 liters of white paint.

When we add those 3, we have:

(N/2 + N/3 + N/6)  = (3*N/6 + 2*N/6 + N/6) = N.

Now, if for example N = 2

Then the batch has 2 liters of paint, this would mean that we must use:

2/2 liters of red paint

2/3 liters of yellow paint

2/6 liters of white paint.

Answer:Number of miles Erin jogged altogether= 7 miles

Step-by-step explanation:

Number of miles jogged on Monday =2 miles

Number of miles jogged on Wednesday =3 miles

Number of miles jogged on Friday =2 miles

Number of miles jogged altogether= 2 miles+3 miles+2 miles=7 miles

Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4