Graph the system of linear inequalities.

y < −x + 3
y ≥ 2x − 1

Give two ordered pairs that are solutions and two that are not solutions.

Answer:

1:3 is your rate for dollars per soda

Step-by-step explanation:

Probability that he will make the next free throw is 0.89% if larry bird made approximately 89% of all free throws during his nba career.

During nba career he made approximate 89% of all free throws.

To calculate the probability of the next 10 free throws given which will be

= No. of possible outcome / Total no. of outcome

= 89 / 100

= 0.89 %

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcome like how likely they are.

P(A) = (# of ways A can happen) / (Total number of outcomes)

which means that Probability that he will make the next free throw is 0.89 %

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Answer:

x = 70 degrees

Step-by-step explanation:

Answer:

x = 70°

Step-by-step explanation:

Because it is an isosceles triangle, the two base angles are the same (55° and 55°)

All triangles angles must add up to 180°, so 180-55-55 will give us the missing angle (x).

180-55-55 = 70

x = 70°

Answer:

56th second

Step-by-step explanation:

Given

\(Lola = Every\ 8\ seconds\)

\(Keegan = Every\ 14\ seconds\)

\(Time = 2\ minutes\ 10\ seconds\)

Required

Determine when they sing together

First, we convert the total time to seconds.

\(Time = 2\ minutes\ 10\ seconds\)

\(Time = 2 * 60\ seconds + 10\ seconds\)

\(Time = 120\ seconds + 10\ seconds\)

\(Time = 130\ seconds\)

Next, we determine the Least Common Multiple of Lola and Keegan's time:

Lola:

\(8\ seconds = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128\)

Keegan:

\(14\ seconds = 14, 28, 42, 56, 70, 84, 98, 112, 126\)

The least common multiple is 56. Hence, they will sing together at the 56th second

The values of the expressions are P 9, 3 = 504, C 9, 3 = 84, P 8, 8 = 40320 and C 9, 9 = 1

From the question, we have the following parameters that can be used in our computation:

(A) P9, 3. (B) C9, 3. (C) P8, 8. (D) C9, 9.

The above expressions are permutation and combination expressions

Using the above as a guide, we have

Expression (A) P9, 3

Apply the permutation formula

P n, r = n!/(n - r)!r!

So, we have

P 9, 3 = 9!/6!

Evaluate

P 9, 3 = 504

Expression (B) C 9, 3

Apply the combination formula

C n, r = n!/(n - r)!r!

So, we have

C 9, 3 = 9!/(6! * 3!)

Evaluate

C 9, 3 = 84

Expression (C) P8, 8

Apply the permutation formula

P n, r = n!/(n - r)!r!

So, we have

P 8, 8 = 8!/0!

Evaluate

P 8, 8 = 40320

Expression (D) C 9, 9

Apply the combination formula

C n, r = n!/(n - r)!r!

So, we have

C 9, 9 = 9!/(9! * 0!)

Evaluate

C 9, 9 = 1

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Answer:

35

Step-by-step explanation:

mutilply the 3 by the 9 subtract dez uts

Answer:

She must have earned 16 dollars

Step-by-step explanation:

\(Answer:\ f(x)=-\sqrt{x-2}+3\)

Step-by-step explanation:

Answer: Each student would get 7/16 quarts of orange juice and 1 5/8 cups of cereal.

Step-by-step explanation:

Divide each by 4 because there are 4 students.

The value of m∠U in the circle is 168 degrees

The tangent of a circle is the line that touches the circle at only one point.

The tangent to a circle is always perpendicular to the radius. Therefore, it forms a right angle.

Therefore, let's use the theorem to find the angle m∠U

Hence,

m∠STU = 90 degrees

m∠UTV = 90 - 84 = 6 degrees

Therefore, the triangle STV is an isosceles triangle. This means the base angle is congruent .

Hence,

m∠SVT = 84 degrees

Therefore,

m∠U = 180 - 6 - 6

m∠U = 180 - 12

m∠U = 168 degrees

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Answer: 86%

Step-by-step explanation:

Number of books in the town's library = 5000

Number of books that are fiction= 4300

The percent of books that are fiction will be:

= 4300/5000 × 100

= 0.86 × 100

= 86%

Using the formula of volume of cylinder, the volume of the jar is 1130.4 cube inches.

In the given question we have to find the volume of the jar.

From the question,

A cylindrical jar has a radius of 6 inches

So r=6 inches

A cylindrical jar has a height of 10 inches

So h=10 inches

The jar is filled with marbles that have a volume of 20 cube inches.

As we know that the volume of cylinder is

V=πr^2h

where V= volume of cylinder

r = radius

h= height

π=3.14

Putting the value

V=3.14*(6)^2*10

V=3.14*36*10

V=1130.4 cube inches

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16.15 is the value of ZY in triangle .

What is known as a triangle?

The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a single point.

                        The triangle's three angles add up to 180 degrees. There are three straight sides to this two-dimensional shape. An example of a 3-sided polygon is a triangle. Three triangle angles added together equal 180 degrees.

In ΔUST and ΔZXY

     UT/ZY =  UA/ZB

     8.5/ZY =  6/11.4

     6 *  ZY =  11.4 * 8.5

            ZY = 96.9/6

                  = 16.15

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Answer:

B. 2x²+10x+4

Step-by-step explanation:

the perimeter =

2×(x²+3x-1+2x+3)

= 2×(x²+5x+2)

= 2x²+10x+4

The patterns revealed in this figure emphasize the importance of targeted interventions in areas such as road safety, mental health, prevention and treatment of communicable diseases.

Based on the graph depicting the top five causes of death among males and females aged 15 to 29 in 2019, we can observe the following patterns: Road injuries are a leading cause of death: Road injuries accounted for a significant percentage of deaths in both males (18.5%) and females (36%). This indicates that road safety measures and interventions should be prioritized to reduce the number of fatalities in this age group. Different causes of death for males and females: While road injuries were a prominent cause of death for both males and females, there are differences in other leading causes. For males, HIV/AIDS (10.4%) and self-harm (12.1%) were significant contributors, whereas for females, maternal conditions (20%) and interpersonal violence (17%) played a larger role. Understanding these gender-specific patterns can help tailor interventions to address the unique challenges faced by each group. Impact of communicable diseases: The presence of HIV/AIDS (10.4% for males, 0% for females) and tuberculosis (12.1% for males, 0% for females) among the leading causes of death highlights the ongoing challenge of communicable diseases in this age group. Efforts to prevent and treat these diseases need to be strengthened to reduce their impact on young people's health and well-being.

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By applying the difference between two cubes formula, the solutions to the equation (x-1) are x = 1 and the complex solutions obtained from solving x² + x + 1 = 0.

The difference between two cubes formula states that a³ - b³ = (a - b)(a² + ab + b²). In this case, we have (x³ - 1³) = 0. By applying the difference between two cubes formula, we get (x - 1)(x² + x + 1) = 0.

To solve for x, we set each factor equal to zero and solve the resulting equations:

x - 1 = 0, which gives x = 1

x² + x + 1 = 0, which can be solved using the quadratic formula or factoring methods.

The equation x² + x + 1 = 0 represents a quadratic equation, and its solutions can be obtained using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = 1, and c = 1. Substituting these values into the quadratic formula, we get:

x = (-1 ± √(1 - 4(1)(1))) / (2(1))

Simplifying further:

x = (-1 ± √(-3)) / 2

Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, the only solution to the original equation (x - 1) = 0 is x = 1.

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Answer:

a=180-117=63°

b=180-(81+63)=36°

Answer:

36

Step-by-step explanation:

180-117= 63

81+63=144

180-144=36

36 is the answer

Answer:

Figure D would be an 180 degree rotation of Figure A

Step-by-step explanation:

Figure B would have to be tilted to the right some more, and Figure C is all out of wack leaving Figure D

Answer:

Figure D

Step-by-step explanation:

From Figure A to B, it looks like a reflection (like a mirror) (over the y-axis)

From Figure A to C, it looks like a translation (5 units down) (x - 5, y)

From Figrue A to C, it looks like a rotation

Therefore, our final answer is Figure D

Hope this helps!

Step-by-step explanation:

monthly interest rate calculation example convert the annual rate from a percent of a decimal by dividing by 100 / 100 is equal to 0.10.9 divide that number 12 to get monthly interest rate in the decimal forms 0.10 upon 12 is equal to zero zero eight three

The probability of choosing a red marble, then a white marble is 5/36

From the question, we have the following parameters that can be used in our computation:

A bag contains 4 white, 3 blue, and 5 red marbles

If the marbles were replaced, then we have

P(Red) = 5/12

P(White) = 4/12

So, we have

The probability of choosing a red marble, then a white marble  is

P = 5/12 * 4/12

Evaluate

P = 5/36

Hence, the probability of choosing a red marble, then a white marble is 5/36

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Answer:

252

Step-by-step explanation:

7/25=252/900

Answer:

below explained briefly

Step-by-step explanation:

(a) to find the area of parallelogram use the formula: b * h = 30 * 20 = 600m^2

(b) to find the area of shaded of this one: first we need to find the area of rectangle and then area of two triangle and subtract them with rectangle.

area of rectangle : length * width = 25 * 7  = 175 cm^2

area of two triangles = 2(1/2*b*h) = 2 ( 1/2 * 7 * 5 ) = 35 cm^2

area of shaded = 175 - 35 = 140 cm^2

(c) there different methods of finding area of this figure.

one of the famous methods are that we know it a equilateral triangle thus all sides are 60 degree

formula : 1/2 * a * b * sin(C)

using this formula : 1/2 * 8 * 8 * sin( 60 )

                              : 27.7 cm^2

Answer:

A. Odd

B. Positive Leading Coefficient

Step-by-step explanation:

When it comes to degree - Odd degrees start from below the x axis and end over the y axis

For leading coefficients - Positive leading coeffcients always start from below, since we know the degree is odd, this leading coefficient fit.

The present worth (PW) of each project is calculated based on the given cash flows and the firm's minimum attractive rate of return (MARR) of 10% per year.

To calculate the PW of each project, we discount the cash flows at the MARR of 10% per year. The PW for each project is determined as follows:

Project 1: EOY 0: -\(10,000 + (5,125 / (1 + 0.10)^1) + (5,125 / (1 + 0.10)^2) + (5,125 / (1 + 0.10)^3) = $10,682.13\)

Project 2: EOY 0: -\(8,500 + (4,450 / (1 + 0.10)^1) + (4,450 / (1 + 0.10)^2) + (4,450 / (1 + 0.10)^3) = $9,202.79\)

Project 3: EOY 0: \(11,000 + (5,400 / (1 + 0.10)^1) + (5,400 / (1 + 0.10)^2) + (5,400 / (1 + 0.10)^3) = $9,834.71\)

The project with the highest PW is recommended. In this case, Project 1 has the highest PW of $10,682.13, so it would be the recommended project.

The IRR for each project can be determined by finding the discount rate that makes the PW equal to zero. Using the cash flows provided, the IRR for each project can be calculated using a trial-and-error approach or financial software. Let's assume the IRRs are as follows:

Project 1: IRR ≈ 17.5%

Project 2: IRR ≈ 15.3%

Project 3: IRR ≈ 13.8%

The project with the highest PW may differ from the project with the largest IRR due to the timing and magnitude of cash flows. The PW takes into account the timing of cash flows and discounts them to the present value. It represents the total value created by the project over its lifetime. On the other hand, the IRR considers the rate of return that equates the present value of cash inflows to the initial investment. It represents the project's internal rate of return.

Therefore, a project with a higher PW indicates higher overall value, while a project with a larger IRR implies a higher rate of return. These measures can lead to different rankings depending on the cash flow patterns and the MARR.

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Answer:

Step-by-step explanation:

4 Numbers Given, 1,8,6,4

Numbers start counting from 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ..... and so on

Here we can see that 1 is the first  Number.

Thus 1 is the Smallest Integer( Number ) in the given series.

The probability that the card you select is a 3

a) as a reduced fraction : 1/13

b) rounded to the nearest thousandth: 0.077
c) rounded to the nearest tenth of a percent: 7.7%

We know that there are 52 cards in a standard deck, subdivided into four categories namely spade, clubs, hearts, and diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king.

This means there are four 3's in a deck of 52 cards.

Let A: selecting a card 3

n(A) = 4

A sample space n(S) = 52

So, the probability that the card you select is a 3:

p(A) = n(A)/n(S)

p(A) = 4/52

p(A) = 1/13

p(A) = 0.07692

rounding to the nearest thousandth.

p(A) = 0.077

rounding to the nearest tenth of a percent

p(A) = 7.7%

Therefore, the required probability is 1/13 (as a reduced fraction) or 0.077 or 7.7%

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Answer:

9y²+9 that's the answer

The area of each triangle using the formula A = 1/2bh would be 2000 meters sq.

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

We have been given the base of triangle b, 100m and the height of the triangle h, 40m , we are asked to find the area.

We know that Area of triangle = ½ × b × h

Area = ½ × 100 × 40

Area =50 × 40

Area = 2000 meters sq.

Hence, the area of each triangle using the formula A = 1/2bh would be 2000 meters sq.

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The complete question is

The height of the triangle is 40m and the base is b = 100m.  find the area of each triangle using A=1/2bh

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Answer: C - 4 = 14

Step-by-step explanation: In the expression, "c" is colin's age so, if you subtract 4 years for his age, you get Katie's age, which is 14.