N Which point represents the opposite of -2? D -5 -4 -3 -2 -1 0 1 2 3 4 5 Ο Α OB​

Answer:

$7.20

Step-by-step explanation:

7.208

Step-by-step explanation: 20 % x 36.04  is equal to 7.208 because it's multiplying.

Answer:

Angle A is 140 degrees

Angle C is 150 degrees

Step-by-step explanation:

Angle A and the 40 degrees are a linear pair which adds up to 180

Angle C and 150 degrees are vertical angles which are congruent

2 x 10-7  is the probability of drawing a T, replacing it, then drawing a C.

What is Probability?

Probability is simply the chance that something will happen. Whenever the outcome of an event is uncertain, we can speak of the probability, or likelihood, of a particular outcome. Analyzing events according to their probabilities is called statistics. 

There are 11 letters in MATHEMATICS which consist of 2 each of M, A and T and 1 each of H, E, I, C and S.  

P(M on 1st choice) = 2/11   since there are 2 M's out of 11 letters

P(A on 2nd choice) = 2/10   since there are 2 A's out of 10 remaining letters

P(T on 3rd choice) = 2/9     since there are 2 T's out of 9 remaining letters

At this point there are 8 letters remaining which are all distinct so they must be chosen in the correct order

P(H on 4th choice) = 1/8

P(E on 5th choice) = 1/7

P(M on 6th choice) = 1/6

P(A on 7th choice) = 1/5

P(T on 8th choice) = 1/4

P(I on 9th choice) = 1/3

P(C on 10th choice) = 1/2

P(S on 11th choice) = 1/1  

The probability of spelling the word correctly is the product of all the probabilities

P = 2*2*2 / 11! = 8 / 39916800 = 1 / 4989600 ~ 2 x 10-7

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It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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The value of x/w is 1/3.

...........

Step-by-step explanation:

The first president of the United States was

\(\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}\)

Answer:

x=9

y=12

Step-by-step explanation:

According to given ratio, Jillian need to 8 wool cards trade for 4 ore cards.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, Jillian and David are playing a board game, in which 3 ore cards can be traded for 6 wool cards.

We need to find,

Number of wool cards that can be trade for 4 ore cards

To find the same, we will use the concept of ratio,

The change of value in one variable will cause a proportional change in the value of the other variable.

Let the number of wool cards traded for 4 ore cards be x,

Therefore, we have:

3 / 6 = 4 / x

1 / 2 = 4 / x

x = 8

Therefore,

4 ore cards = 8 wool cards

Hence, Jillian need 8 wool cards to be trade for 4 ore cards.

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Answer:

Answer

see explanation

Step-by-step explanation:

Using the rule of exponents

= , then

=

His mistake was in subtracting 3 rather than - 3

Answer:

i think its c.

Step-by-step explanation:

The value of x is 13.

Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

We have,

Two lines m and n are parallel.

Two angles (7x -1)° and (8x - 14)° are corresponding angles.

We know that corresponding angles are equal.

We can write as:

7x - 1 = 8x - 14

We will find the value of x.

We will keep the like terms on one side.

14 - 1 = 8x - 7x

13 = x

x = 13

Therefore the value of x is 13.

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Answer:

f^-1(x)=2x/x-1

Step-by-step explanation:

Answer:

f-1(x) = 2x/x-1

Step-by-step explanation:

Bottom left

I checked my work with Chegg

Answer:

  a) 50π cm^2

  b) π/8

Step-by-step explanation:

a) The formula for the area of a semicircle is ...

  A = (1/2)πr^2 = (1/2)π(d/2)^2 = (π/8)d^2

For a diameter of 20 cm, the area is ...

  A = (π/8)(20 cm)^2 = 50π cm^2 . . . . . the area of the semicircle

__

The formula for the area of a quarter circle is ...

  A = (1/4)πr^2

For a radius of 20 cm, the area is ...

  A = (π/4)(20 cm)^2 = 100π cm^2 . . . . . the area of the quarter circle

__

The shaded area is the difference of the areas of the quarter circle and semicircle:

  shaded area = (100π cm^2) -(50π cm^2)

  shaded area = 50π cm^2

__

b) The ratio of the shaded area to the square area is ...

  shaded area / square area = (50π cm^2)/(20 cm)^2 = π/8

There are 39 elements in the intersection of the two sets.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Union: -

If set A and set B are two sets, then A union B is the set that contains all the elements of set A and set B. It is denoted as A ∪ B.

Example: Set A = {1,2,3} and B = {4,5,6}, then A union B is:

A ∪ B = {1,2,3,4,5,6}

Intersection:-

If set A and set B are two sets, then A intersection B is the set that contains only the common elements between set A and set B. It is denoted as A ∩ B.

Example: Set A = {1,2,3} and B = {4,5,6}, then A intersection B is:

A ∩ B = { } or Ø

Since A and B do not have any elements in common, so their intersection will give null set.

P(AUB) = P(A) + P(B) - P(A∩B)

Here, P (A) = the number of elements in the set A and so on.

We know that:

                     P (A)= 67

                     P (B)= 72

and                P (AUB) = 100

So, we can solve for the number in the intersection i.e.                     P(A∩B) = P(A) + P(B) - P(AUB)

P(A∩B) = 67 + 72 - 100

P(A∩B) = 139 - 100

P(A∩B) = 39.

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Answer: it gives the number of the kinds of berries needed for the cost to be the same at both bakeries

Step-by-step explanation:got a 100 on edge 2020

The correct answer is option B.

$4069.62, will be their total interest charges after 30 years.

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

here, we have,

The monthly payments amount:

$576.53.

Number of payments:

30*12 = 360

Total payment amount:

360*$576.53.

= 207550.8

The amount of mortgage x, considering the APR:

207550.8 = x*30*3.4/100

207550.8 = 1.02x

x = 207550.8 / 1.02

x = 203481.18

The cost of the mortgage:

207550.8 - 203481.18

=4069.62

Hence, $4069.62, will be their total interest charges after 30 years.

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Answer:

40m

Step-by-step explanation:

Radius is half of diameter

The distributed simplified product is \(2x\sqrt{10x}-2x\sqrt{5}\). So, option 4 is correct.

The distributive property is given by

a(b + c) = ab + ac or (a + b)c = ac + bc.

This property is used for simplifying large expressions into small ones.

The reverse order we can write as

ab + ac = a(b + c) or ac + bc = (a + b)c.

The given expression is \(\sqrt{5x}(\sqrt{8x^2}-2\sqrt{x})\)

On applying distributive property: a(b + c) = ab + ac

\(\sqrt{5x}(\sqrt{8x^2}-2\sqrt{x})\) = \(\sqrt{5x}(\sqrt{8x^2}) - \sqrt{5x}(2\sqrt{x})\)

Applying multiplication of surds,

(multiplication of surds: \(\sqrt{a}\times\sqrt{b}=\sqrt{ab}\))

⇒ \(x(\sqrt{5x\times8})-2(\sqrt{5x\times x})\)

⇒ \(x\sqrt{40x}-2\sqrt{5x^2}\)

⇒ \(2x\sqrt{10x}-2x\sqrt{5}\)

Therefore, the simplified product for \(\sqrt{5x}(\sqrt{8x^2}-2\sqrt{x})\) is \(2x\sqrt{10x}-2x\sqrt{5}\).

Thus, option 4 is correct.

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Answer:

B) 2/3, 1/2, 2/5

The quadratic example is ax² + b x + c = 0 where x stands for an unknown value and where a, b, and c stand for known numbers is known as a quadratic equation in algebra.

Quadratic equations are second-degree polynomial equations with at least one squared term. It is also referred to as quadratic equations.

The numerical coefficients a, b, and c are known, while the unknown variable x is. For example , x2 + 2x + 1. It also goes by the name quadratic equation as in: b x +c=0    

The terms a, b, and c are also referred to as quadratic coefficients.    

'Examples of Quadratics

x² –x – 9 = 0

5x² – 2x – 6 = 0
3x² + 4x + 8 = 0

-x² +6x + 12 = 0  (an example of non-quadratic equation is x³ − x² − 5 = 0)

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The context that could be modeled by a linear function is A. A smartphone data plan charges $65/month and $0.46/GB of data used.

The total cost of the data plan depends linearly on the amount of data used.  The monthly fixed cost of $65 represents the y-intercept, and the variable cost of $0.46/GB represents the slope of the linear function.

A linear function is a rule in Maths that links two things on a graph using a straight line.

For instance: y = mx + b

In this equation

y = the thing that depends on something else (like time),

x = the thing it depends on (like distance),

m = how much y changes when x changes and

b = where the line starts on the up-and-down axis.

So, the slope (m) shows how y changes when x changes and the starting point (b) tells us where the line begins.

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Answer:

See below.

Step-by-step explanation:

∠3 and ∠7 = Corresponding Angles

∠4 and ∠5 = Alternate Interior Angles

∠1 and ∠2 = Supplementary Angles

∠3 and ∠6 = Alternate Interior Angles

Answer:

the ansewr is b

Step-by-step explanation:

Crane Co. journalized the transactions by recording debits and credits to the appropriate accounts, such as Notes Receivable, Cash, Sales Revenue, and Accounts Receivable. Interest revenue on the notes receivable was accrued at the end of the year.

Here are the journal entries for the transactions of Crane Co. related to notes receivable:

Nov. 1:

Cash 52,800

Notes Receivable 52,800

Dec. 11:

Notes Receivable 3,600

Sales Revenue 3,600

Dec. 16:

Notes Receivable 7,200

Accounts Receivable 7,200

Dec. 31:

Interest Receivable [Calculate interest for each note]

Interest Revenue [Calculate interest for each note]

Note: Since the problem does not provide specific dates for the last transaction (Dec. 31) and interest accrual, it's not possible to provide the exact amounts for the Interest Receivable and Interest Revenue accounts.

You'll need to calculate the interest for each note based on the given information (principal, interest rate, and time) and record the appropriate amounts in the journal entries.

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The gardener used 40.5 gallons of gasoline in his lawn mowers in the one month.

Let's say the amount of gasoline used in the lawn mowers is x gallons.

Then, the rest of the gasoline (61.5 - x) would have been used for other purposes.

Since the total amount of gasoline used is 61.5 gallons, we can set up an equation:

x + (61.5 - x) = 61.5

Simplifying this equation, we get:

x + 61.5 - x = 61.5

Combining like terms, we get:

61.5 = 61.5

This equation is true, so we know that our assumption that x is the amount of gasoline used in the lawn mowers is correct.

Therefore, the gardener used x = 40.5 gallons of gasoline in his lawn mowers in the one month.

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Let us first define what any of these terms mean.

The mean is found by adding all the numbers in the set, and dividing the sum by how many numbers are found in the set.

> Given set {5, 12, 6, 3, 8, 16, 8, 6}, the sum of the numbers is 5 + 12 + 6 + 3 + 8 + 16 + 8 + 6 = 64. 64 ÷ 2 = 32. Thus, the mean is 32.

The median is found by finding the number in the middle of the set, and dividing it by 2. This is easy in odd numbers as there is only one number in the middle that is the same amount of numbers left and right proportionally. However, in even numbers, there are two middles to be proportional. If it as an even number, then add the 2 middles together, and divide by 2.

> Given set {5, 12, 6, 3, 8, 16, 8, 6}, this set has an even number of numbers in the set. Thus, the middles are 3 and 8. 3 + 8 = 11, and 11 ÷ 2 = 5.5. Thus, the median is 5.5.

The mode is the number that most frequently appears in the set. In this case, we have 2 frequent numbers. That is 6 and 8. They both appear 2 times separately. Thus, 6 and 8 are the modes of this set.

The range is the difference (i.e subtraction) between the largest number on the set and the smallest number on the set.

> Given set {5, 12, 6, 3, 8, 16, 8, 6}, the range is 16-3 or 13. Thus, the range is 13.

Now that we have the definitions, we can compute the other set very easily.

> Given set {2, 7, 4, 11, 12, 4, 6}, the mean is 18.

> Given set {2, 7, 4, 11, 12, 4, 6}, the median is 5.5.

> Given set {2, 7, 4, 11, 12, 4, 6}, the mode is 4.

> Given set {2, 7, 4, 11, 12, 4, 6}, the range is 10.

Hope it helped!

Answer:

500000000

Step-by-step explanation:

Because you have to do those and then after you divided it took those zeros and made them longer since they are already positive.

To solve the initial-value problem y'' - y' = te^(-1), we can use the method of undetermined coefficients.

Step 1: Find the homogeneous solution

First, we find the solution to the homogeneous equation y'' - y' = 0. This is a linear homogeneous differential equation, and its characteristic equation is r^2 - r = 0. Factoring out an r, we get r(r - 1) = 0. So the roots are r = 0 and r = 1.

The homogeneous solution is then given by y_h = c1e^(0x) + c2e^(1x) = c1 + c2e^x, where c1 and c2 are arbitrary constants.

Step 2: Find a particular solution

Next, we need to find a particular solution to the non homogeneous equation y'' - y' = te^(-1). Since the right-hand side contains te^(-1), we assume a particular solution of the form y_p = (Ax + B)e^(-1), where A and B are constants to be determined.

Differentiating y_p, we have y_p' = Ae^(-1) + Ae^(-1)(-1)x + Be^(-1) = (A - Ax + B)e^(-1).

Differentiating y_p' again, we have y_p'' = (A - Ax + B)e^(-1)(-1) + (A - Ax + B)e^(-1)(-1)x = (2Ax - A - B)e^(-1).

Substituting these into the original equation, we get (2Ax - A - B)e^(-1) - (A - Ax + B)e^(-1) = te^(-1).
Simplifying, we have 2Ax - A - B - A + Ax - B = t.

Matching the coefficients of x and the constant terms on both sides, we have:
2Ax + Ax = t  

--> 3Ax = t  

--> A = t/3.
-A - B - B = 0  

--> -2B = A  

--> -2B = t/3  

--> B = -t/6.

Therefore, a particular solution is y_p = (t/3)x - (t/6)e^(-1).

Step 3: Find the general solution

The general solution to the nonhomogeneous equation is the sum of the homogeneous solution and the particular solution:
y = y_h + y_p = c1 + c2e^x + (t/3)x - (t/6)e^(-1).

Step 4: Apply initial conditions

To apply the initial conditions, we substitute the values of y(0) and y'(0) into the general solution.

Given that y(0) = 1, we have:
1 = c1 + c2 + 0 - (t/6)e^(-1).

Given that y'(0) = 2, we have:
0 = c2 + 1 - (t/6)e^(-1).

Solving these equations simultaneously, we can find the values of c1 and c2.

Finally, substituting the values of c1 and c2 back into the general solution, we obtain the particular solution to the initial-value problem y'' - y' = te^(-1).

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Answer:

A

Step-by-step explanation:

just took the test