23. HURRICANES The day after a hurricane, the barometric pressure in a coastal town has risen to 29.7 inches of mercury, which is 2.9 inches of mercury higher than the pressure when the eye of the hurricane passed over.

a. Write an addition equation to represent the situation.
b. What was the barometric pressure when the eye passed over?

Explanation:

Consider 2 stocks that either go up, down, or stay unchanged. We'd have a 3 by 3 table to show the 3*3 = 3^2 = 9 different outcomes.

This idea can be extended to 3 stocks to have 3*3*3 = 3^3 = 27 outcomes

4 stocks would have 3^4 = 81 outcomes and so on

Therefore, 9 stocks have 3^9 = 19683 outcomes

Answer:

it a i think

Step-by-step explanation:

The outputs of the function are 6, 2, 3, 4, and the inputs of the function are -1, 0, 7, and 10.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

here,

We have:

x        g(x)

–1        6

0          2

7          -3

10         4

The table shows the input and output of the function g(x)

g(-1) = 6

g(0) = 2

g(7) = -3

g(10) = 4

The set of equivalent y-values for the function shown in the table is as follows: 6, 2, 3, 4.

Thus, the outputs of the function are 6, 2, 3, 4, and the inputs of the function are -1, 0, 7, and 10.

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Answer: A ray starts from a point and goes to infinity. A line has no end points. A line segment has two endpoints. A line segment connects both endpoints.

Step-by-step explanation:

did this explain it

Answer:

The total ways the textbooks can be arranged in the 3 boxes is , which is equivalent to . If all of the math textbooks are put into the box that can hold  textbooks, there are  ways for the other textbooks to be arranged. If all of the math textbooks are put into the box that can hold  textbooks, there are  ways to choose the other book in that box, times  ways for the other books to be arranged. If all of the math textbooks are put into the box with the capability of holding  textbooks, there are  ways to choose the other 2 textbooks in that box, times  ways to arrange the other 7 textbooks. , , and , so the total number of ways the math textbooks can all be placed into the same box is . So, the probability of this occurring is . If the numerator and denominator are both divided by , we have . Simplifying the numerator yields , and dividing both numerator and denominator by  results in . This fraction cannot be simplified any further, so  and . Therefore, .

Answer:

Step-by-step explanation:

Using translation concepts, it is found that the triangles are congruent, as triangle QRS is the result triangle after a 180º rotation about the origin of triangle MNP.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis, or rotations of a degree measure around the origin.

From the vertices of the triangles MNP and QRS, the following transformation was applied:

(x,y) -> (-x,-y).

Which is a 180º rotation about the origin, that is, triangle QRS is the result triangle after a 180º rotation about the origin of triangle MNP.

Rotations do not change the side lengths, only the orientation of the triangle, hence the triangles QRS and MNP are congruent.

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Answer:

44.5x - 13

Step-by-step explanation:

Combine like term.

Answer: 2 pairs

Step-by-step explanation: You can tell which angles are congruent based on the curved markings. Pairs of congruent angles have matching markings. Since two of the angles are congruent to each other, we can assume that the third angles on the triangles are also congruent to each other, but it is not marked as such. So, there are only two marked pairs of congruent angles.

Answer:

  exterior

Step-by-step explanation:

You want to know if (3, 2) is an interior or exterior point of the circle defined by (x -5)² +(y +3)² = 25.

We can find the square of the distance of the point from the center of the circle using the equation for the circle.

  (x -5)² +(y +3)² = r²

  (3 -5)² +(2 +3)² = 4 +25 = 29 > 25 . . . . use (x, y) = (3, 2) in the equation

The point is farther away from the center than points that are on the circle. The point (3, 2) is an exterior point.

The length of the line segment PS will be 35 units when PR is 24 units and RS is 11 units.

We are given the length of two line segments as:

PR = 24 units

RS = 11 units

Now, we need to find the length of PS.

We will use the operation of addition here as PS will be equal to the sum of PR and RS. Addition refers to the basic operation of mathematics that is used to simplify and evaluate an expression or an equation.

So, we get that:

PS = PR + RS

Substituting the values, we get that:

PS = 24 units + 11 units

PS = 35 units

Therefore, we get that, the length of the line segment PS will be 35 units when PR is 24 units and RS is 11 units.

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Answer:

23 doesn't equal 2

Step-by-step explanation:

The ending balance of retained earnings for Sultan Inc. as at December 31, 2021 is $40,100

What is the retained earnings at the end of 2020?

The retained earnings at the end of 2020 is the net earnings for 2020 minus the dividends paid in 2020 , in other words, the 2020 ending balance of retained earnings are computed as shown  below:

retained earnings for 2020=$31,000-$14,200

retained earnings for 2020=$16,800

However, we need to determine additional retained earnings in 2021 which is also ascertained as net earnings minus dividends paid

additional retained earnings in 2021=$42,000-$18,700

additional retained earnings in 2021=$23,300

the ending balance of retained earnings for Sultan Inc. as at December 31, 2021=2021 balance of retained earnings+ additional retained earnings in 2021

the ending balance of retained earnings for Sultan Inc. as at December 31, 2021=$16,800+$23,300

the ending balance of retained earnings for Sultan Inc. as at December 31, 2021=$40,100

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Following the pattern, the most likely next step in the series is given by the pentagon in option B.

We have to look at the number of points in each figure, hence:

Hence, the number of points increases by one for each figure, meaning that in the next step, the figure should have 5 points, representing a pentagon.

Among the options given for the answer, only one, option B, has 5 points, with the pentagon, as:

Hence, the most likely next step in the series is given by the pentagon in option B.

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Answer:

Step-by-step explanation:

Let the edge be r, a rational number.

Then the following are:

A) The diagonal of one of the cube's faces,

B) The volume of the cube,

C) The surface area of the cube,

D) The area of one of the cube's faces,

Answer:

required digit is 0.

if we want two answers then 0 &8

Step-by-step explanation:

it is divisible by 8 if last three digits are divisible by 8

504÷8=63

so 366,504 is divisible by 8.

366,504÷8=45813

next term is 584

584÷8=73

so 366,584 is divisible by 8.

Answer:

0= -7

Therefore, it has no solutions.

Step-by-step explanation:

Answer:

No solutions.

Step-by-step explanation:

[tex]2\left(7w-1\right)+5w=w+3\left(4w+3\right)+2\left(3w-9\right)[/tex] <- Expand

[tex]19w-2+2=19w-9+2[/tex] <- Add 2 to both sides

[tex]19w=19w-7 \\[/tex] <- Simplify

[tex]19w-19w=19w-7-19w[/tex] <- Subtract 19w from both sides

[tex]0=-7[/tex]

Therefore, this has no solutions.
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Answer: 0/5

Step-by-step explanation:

Answer:

1/6 I used a calculator

Step-by-step explanation:

-1/2 + 2/3 =1/6

The expression is simplified to x = 10/ a

Subject of formula is defined as a variable which is expressed in terms of other variables involved in a given formula or expression.

Given the expression;

2 - ax = -8

Let's make 'x' the subject of formula

collect like terms

-ax = -8 - 2

Subtract like terms

-ax = - 10

Divide both sides by -a

-ax/ -a = - 10/-a

Find the ratio

x = 10/ a

Thus, the expression is simplified to x = 10/ a

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Answer:

1x+mx=b

Step-by-step explanation:

1*15+3*15=60

The probability of choosing a Kiwi or a coconut  is 14/15.

There has to be another flavor in the bag. The probability of picking the third flavor is 1/15.

There can be 15 candies in the bag. There can be more than one possibility.

Probability calculates the odds that a random event would occur. The odds that the random event happens lie between 0 and 1. The more likely the event is to occur, the closer the probability value is to 1. If the probability value is 0.5, it is equally likely and unlikely that the event would happen or not happen. The sum of all probabilities should add up to 1.

The probability of choosing a Kiwi or a coconut = chances of picking a kiwi + chances of picking a coconut

1/3 + 3/5

(5 + 9) / 15 = 14/15

There has to be another flavor in the bag because the sum of the probabilities of picking a coconut or a kiwi does not add up to 1.

The probability of getting another flavor = 1 - sum of the probabilities of picking a kiwi or a coconut

1 - 14/15

15/15  - 14/15 = 1/15

The total number of candies in the bag would be a multiple of 15. The multiple of a number is the product of the number and another number. The possible number of candies are 15, 30, 45, 60, 75, 90

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Answer:

x=1.8

Step-by-step explanation:

10x + 4 = 22

Subtract 4 from both sides.

10x=18

Divide 10 from both sides.

x=1.8

Hope this helps!

Answer: x = 1.8 or x = 9/5

Step-by-step explanation:

1. Subtract 4 from both sides:

10x + 4 - 4 = 22 -4

2. Simplify:

10x = 18

3. Divide by 10 on both sides:

10x/10 = 18/10

4. Solve:

x = 1.8 or 9/5

Using relations in a right triangle, it is found that the angle of depression from the satellite to the horizon is of 89.35º.

The relations in a right triangle are given as follows:

First, we consider that:

Hence the sine of the angle is given as follows:

sin(θ) = 4000/175000

θ = arcsin(4000/175000)

θ = 1.31º.

Twice the angle of depression x and θ are supplementary, hence:

2x + 1.31 = 180

2x = 178.69.

x = 178.69/2

x = 89.35º.

The angle of depression from the satellite to the horizon is of 89.35º.

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Answer:

the order, from largest to lowest, is:

Purple line, Green line, Blue line, Red line.

A linear equation written in the slope-intercept form is:

y = a*x + b

Such that a is the slope, and it tells us how fast the function changes.

Positive slopes mean that the lines go upwards (purple or green in this case)

Negative slopes mean that the lines go downwards (blue or red in this case)

As larger is the slope, more steep is the function (for the cases with positive slope, is the opposite for negative slopes).

Then the order, from largest to lowest, is:

Purple line, Green line, Blue line, Red line. (y can't see the subindices of the slopes in the lines, so I only can identify the colors).

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The year will be 2018, the predicted record of 43.74

1920, the record for a certain race was 45.9 sec.

In 1950, it was 45.0 sec.

Let R(t)= the record in the race and t= the number of years since 1920.

How to calculate slope

The equation of slope of any line can be calculated using the following formula, m = rise/run = tanθ = Δy/Δx = (y2 - y1)/(x2 - x1) where, m is the slope. Δy is the change in y-coordinates.

slope = (45-45.9)/30 = -0.9/30 = -0.03

EQUATION:

R(t)= -0.03t + 45.9

b) The predicted record for 2003

t = 83 in 2003

R(83) = -0.03*83 + 45.9

R(83) = 43.41

The predicted record for 2006

t = 86 in 2006

R(86) = -0.03*86 + 45.9

R(86) = 43.32

C) Solve for t

-.02t + 45.7 = 43.74

-.02t = 43.74 - 45.7

-.02t = -1.96

t = +98

1920 + 98 = 2018, the predicted record of 43.74

This type of equations are called linear equations

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it.

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Answer:

If d meaning mile it will be 20x13

Answer:

it is already lowest terms

Step-by-step explanation: