which of the following explains expressions are equivalent to - 5/6 /-1/3

Answer:

41° and 49°

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Let x represent the smaller angle, then the bigger angle will be represented with x + 8:

x + x + 8 = 90°

2x + 8 = 90°

2x = 82°

x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°

The answer is:

Work/explanation:

If two angles are complementary, their measures add to 90°.

So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:

w + w + 8 = 90

Combine like Terms

2w + 8 = 90

2w = 82

w= 41

The other angle measures 8° more than the measure of w:

41 + 8 = 49

The total number of people who like fantasy is 222.

Option A is the correct answer.

We have,

From the table

The number of people who like fantasy but do not like Sci-Fi.

= x

Now,

We can write an equation  from the table as,

x + 210 = 318

Solve for x.

x = 318 - 210

x = 108

Now,

From the table again,

We can make an equation as,

114 + 108 = 222

This is the total number of people who like fantasy.

Thus,

The total number of people who like fantasy is 222.

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Answer:

60%

Step-by-step explanation:

To find the percent of the corn she sold, divide the amount by the total, then multiply that by 100.

(150 / 250) x 100

0.6 x 100

= 60

So, Isabelle sold 60% of the corn

Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Answer:

Tracy wants each guest to get more than 7 chicken wings, so the inequality can be written as x > 7.

Step-by-step explanation:

Answer:

Tracy wants each guest to get more than 7 chicken wings, so the inequality is x > 7.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Most road bikes and touring bikes have thinner tires, while mountain bikes have big fat tires. ... A firm thin tire on the asphalt surface won't flatten much. The less the tire flattens out on the bottom, the less surface area is in contact with the road. Less contact in this case means less friction, and more speed.

please mark brainliest

Answer:

D, 145.32 miles

Step-by-step explanation:

distance (24.22) divided by the amount of fuel (6 gallons) will give unit rate.

Step-by-step explanation:

x will equal 6

hope this helps bro if u need the explanation I'll explain to u if needed

6x + 2 - 2x = 3x + 14 - x

6x - 2x + 2 = 3x - x + 14

4x + 2 = 2x + 14

4x - 2x = 14 - 2

2x = 12

x = 12/2

x = 6

The complete question is

"Here is a table giving the number of US households (in thousands) in 2013 by tenure and insurance status:

Insurance status

Owns home

Rents home

Insured

71

13

Uninsured

5

27

Find the marginal distribution of tenure in counts.

Owns home:

Rents home:"

The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home would be 40.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

For the given data. The marginal distribution of tenure in counts can be calculated as,

Owns home = 71 + 5 = 76

Rents home = 13 + 27 = 40

Hence, The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home would be 40.

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9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

Filling in the given information, we find the area of the triangular base to be ...

  726 cm³ = B(12 cm)

  B = 726 cm³/(12 cm) = 60.5 cm²

The area of an isosceles right triangle is half the area of a square with the same side lengths:

  B = 1/2s²

  60.5 = 1/2s²

  s = √(2(60.5)) = √121 = 11

The length of each of the equal sides of the base is 11 cm.

Answer:

It would be at the 8th floor Hope it helped

Step-by-step explanation:

Answer:

9.17 feet

Step-by-step explanation:

Use the Pythogoras theorem, a^2 + b^2 = c^2

you are give c and b ( because one side is slanted, so c) so rearrange to get

c^2-b^2 = a^2

10^2 - 4^2 = 84

square root 84 to get

9.16515

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

x = 3

Step-by-step explanation:

15x + 8 and 9x + 26 are corresponding angles and are congruent , then

15x + 8 = 9x + 26 ( subtract 9x from both sides )

6x + 8 = 26 ( subtract 8 from both sides )

6x = 18 ( divide both sides by 6 )

x = 3

Answer:

The formula to find a triangle is (L+W)/2

Step-by-step explanation:

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer:

432000/135×100

Step-by-step explanation:

current house value is an increase of 35% oner the original value,

so if current value is 100% plus 35% or 135% of original value,

then original value is $432,000 / 135 x 100

Answer:

piecewise, continuous.

Step-by-step explanation:

This is piecewise simply because it is in pieces. Thus PIECEwise (Pun intended). This is continuous because, as you can see, there is a filled in dot on the same x coordinate as every empty dot. The empty dots mean that that value is not in that part of the graph. However, since the other parts of the function "fill the gaps," then it is continuous.  I hope this helps!

It's offcourse piecewise

For continuity

Observe the graph

The domain is like

For close ineterval there is an open interval hence it's continuous

Simplifying this expression, we get: E[X] = n * (1 + (1-pm)/(n-1)) * H_{n-1} where H_{n-1} is the (n-1)th harmonic number.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

In the first scenario where we have imperfect throwers, the probability that a ball lands in a particular bin is (1-pm)/n, where pm is the probability that the ball misses all the bins. The probability that a ball does not land in a particular bin after k throws is (1- (1-pm)/n)^k.

Let X_i be a random variable representing the number of throws required to fill the ith bin for the first time. We know that X_i follows a geometric distribution with probability of success p_i = (1-pm)/n.

The expected value of X_i is given by:

E[X_i] = 1/p_i = n/(n - (1-pm))

Now, let X be the random variable representing the number of throws required to fill all n bins for the first time. We want to find the expected value of X, denoted as E[X].

Since each bin is being filled independently, the number of throws required to fill all n bins is given by the maximum of the X_i. Therefore, we have:

X = max(X_1, X_2, ..., X_n)

Using the formula for the expected value of the maximum of n independent and identically distributed random variables, we can write:

E[X] = n * E[X_i] - (n-1) * E[X_i, X_j]

where E[X_i, X_j] is the expected value of the minimum of X_i and X_j.

Since the X_i are identically distributed, we have E[X_i, X_j] = E[X_i]^2.

Substituting the value of E[X_i] in the above equation, we get:

E[X] = n * (n / (n - (1-pm))) - (n-1) * (n / (n - (1-pm)))^2

This is the expected number of throws required to fill each bin at least once, accounting for the probability that the balls may miss all bins with probability pm.

Therefore, Simplifying this expression, we get: E[X] = n * (1 + (1-pm)/(n-1)) * H_{n-1} where H_{n-1} is the (n-1)th harmonic number.

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Answer:

8=j-4     the quotient of a number and two=n/2

12=j

Step-by-step explanation:

Twelve is the sum of a number and six.=n+6=12, n=6

k plus forty six (k+46)

y multiplied by 30 (30y)

5x=45=

x=9

sorry the answers are mixed up

Answer: ADF

Step-by-step explanation: have a great day and good luck!!! <3

Applying a translation of 5 units left and 2 units up to LM yields the transformed figure L'M' and choice A.

A graph can be moved either laterally or vertically parallel to the -axis, and this movement is called a translation.

LM can be converted to L'M' by carefully following the steps below:

The coordinates (10, -8) are translated 5 units left and 2 units up, which means that the location is obtained by deducting 5 from the x-coordinate and adding 2 to the y-coordinate. (5, -6).

Due to its location on the y-axis, the point (10%, 8) does not shift.

The translation of the point (8, 6M) is 5 units left and 2 units up, which indicates Consequently, we need to add 2 to the y-coordinate and remove 5 from the x-coordinate to get the point. (3, 8M).

The coordinates of the point (2, 6) are moved 5 units to the left and 2 units to the up, giving us the coordinates of the point. (-3, 8).

The translation of the point (6, -8) is 5 units left and 2 units up, so we deduct 5 from the x-coordinate and add 2 to the y-coordinate to get the point. (1, -6).

The point (-8, M) is translated 5 units to the left and 2 units to the right, so we take 5 off the x-coordinate and add 2 to the y-coordinate to get the point. (-13, M).

The key argument (4, 6) is translated as 5 units to the left and 2 units to the up, which means we take 5 away from the x-coordinate and add 2 to the y-coordinate to get the location. (-1, 8).

The coordinates (6, 8) are moved 5 units left and 2 units up, which means we need to deduct 5 from the x-coordinate and add 2 to the y-coordinate to get the new coordinates. (1, 10).

As a consequence, option A is produced by applying a translation of 5 units to the left and 2 units to the up to LM, yielding the transformed figure L'M'.

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In order to find the magnitude of a vector, we use the Pythagorean theorem. The magnitude, also known as the length or the norm, of a vector, is the square root of the sum of the squares of its components.

In this case, we are given two vectors A and B, which are defined as

A = 5i + 7j

B = 2i + 3j.

The i and j components represent the x and y values of the vector respectively.

To find the magnitude of vector A-B, we need to first find the difference between the two vectors. This can be done by subtracting the components of vector B from the corresponding components of vector A. So,

A-B = (5i + 7j) - (2i + 3j) = 3i + 4j.

Now we can use the Pythagorean theorem to find the magnitude of this vector. The square root of the sum of the squares of the x and y components of the vector is the magnitude of the vector. So, the magnitude of

A-B = √(3^2 + 4^2)

A-B = √(9 + 16)

A-B= √25

A-B = 5. Therefore, the answer is (b) 5.

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Answer:

The unit rate is 20.

Step-by-step explanation:

Divide 100 (words) by 5 (minutes) to get 20 words every minute.

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

To rotate the figure 90 degrees clockwise about a point, every point (x, y) will rotate to (y, -x):

The vertices of the triangle have the following coordinates:

Applying the transformation rule, we have the new coordinates to be:

The transformed image is shown below (the black triangle):