Which represents the solutions of the graphed system of equations y=x2+2x-3 and y=x-1?

The Sample space for number greater than 3= {4, 5, 6}

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

A number cube with faces labeled from 1 to 6 will be rolled once.

so, Sample Space = { 1, 2, 3, 4, 5, 6}

sample space for number greater than 3= {4, 5, 6}

Thus, the probability is 3/6 or 1/2.

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Answer:

N6000

Step-by-step explanation:

4 days 12000

2 days. ?

12000*(2/4) = 6000

Answer:

a) velocity

b) displacement

Considering the area of a square, the measure of how close to the ideal length should each tile be controlled is of:

A. 0.098 cm.

The area of a square of side length s is given by the square of the side length, hence the equation is:

A = s².

For a floor with area of 625 cm², the side length is:

s² = 625

s = square root of 625

s = 25 cm.

Considering the error tolerance, the possible areas are given as follows:

The side length for the smallest area would be of:

s² = 620

s = square root of 620

s = 24.90 cm.

The side length for the largest area would be of:

s² = 630

s = square root of 630

s = 25.098 cm.

The smallest difference, from the side lengths with tolerance to the standard side length, is of:

25.098 - 25 = 0.098 cm.

Meaning that option A is the correct option.

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The solving linear equation states that the temperature of the oven is 119 after an minute.

A linear equation is just an algebraic equation of something like the form y=mx+b that only contains a constant and a first-order (linear) component, where m represents the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where y and x are now the variables.

Given:

y = 40x+79

X = number of minutes using it to bare:

When X = 1

y = 40(1)+79

y = 119

It means that the temperature of the oven is 119 after an minute.

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The time taken for the balance to grow is 2.3 years.

What is compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

"Interest on interest,

Given, compound interest =6.407

principal = 5,000

rate = 11%

to find the time

we know compound interest = principle(1+rate)^t

6407= 5000(1+11/100)^t

6407/5000= (1.11)^t

1.28 = (1.11)^t

taking log

log (1.28)= log(1.11)^t

0.24/0.104 =t

t = 2.3

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The slope of the line that is perpendicular to y is m=6/7.

What do you mean by slope?

A number used to define a line's direction and steepness in mathematics is called the slope or gradient of the line.

The slope is denoted by m,

m = slope

According to the data in the given question:

We have to determine the slope of line that is perpendicular to y,

y=6/7x+2

For the slope, we need follow this equation, where m is slope,

y=mx+b............(1)

In the given question,

m=6/7

Therefore, the slope of the line is m=6/7.

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By using the concept of volume of a sphere, the result obtained is

Radius of the tennis ball = 1.35 inch

What is Volume of a sphere?

Volume of the sphere is the total space taken by the sphere.

If r is the radius of the sphere, then the volume of the sphere is given by the formula

V = [tex]\frac{4}{3}\pi r^3[/tex]

Let the radius of the ball be r inch

Volume of the ball = [tex]\frac{4}{3}\pi r^3[/tex]

                               = [tex]\frac{4}{3} \times 3.14 \times r^3[/tex]

By the problem,

[tex]\frac{4}{3} \times 3.14 \times r^3 = 10.31\\r^3 = \frac{10.31 \times 3}{4 \times 3.14}\\r^3 = 2.46\\r = \sqrt[3]{2.46}\\ r = 1.35\ in[/tex]

Radius of the tennis ball = 1.35 inch

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Answer:

The height is 12ft

Step-by-step explanation:

In order to find the height, you have to divide the area by the width which is 180ft divided by 15ft, you get 12ft, and if you double-check 15 x 12 gets you 180, which is the area.

Answer:

it is a subset where you are going to make sets from that one set

Two heads in three tosses is 3/8, 3/8x713=267.375. 267.375×41=10,962.375.

5/8x713=445.62, 445.62×29=12,923.125

So 10,962.375-12,923.125=-1960.75

Therefore if you played this game, you would statistically lose $1960.75

Answer:

a. $195

b. $4,195

Step-by-step explanation:

Interest: $4,195 - $4,000 = $195

The arithmetic mean of the numbers is -6 11/15

Arithmetic mean is often referred to as the mean or arithmetic average. It is calculated by adding all the numbers in a given data set and then dividing it by the total number of items in that set.

therefore, arithmetic mean= sum of items/ no of items

The average of numbers,7, 17, 1/3 ,-2/5, -12 ,7, - 121, 49,-16,-9and 4 is obtained by adding the numbers to together and dividing the result by the total frequency.

The sum of the numbers is 7 +17 +1/3-2/5 -12+7 - 121+ 49-16-9+ 4= -1111/15

the total number of items in the set is 11

therefore arithmetic mean = -1111/15÷ 11

= -1111/15×1/11

=-101/15

= -6 11/15

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For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.

Here,

a. No for every 4 beef cattle there is 3 dairy cattle.

b. 4/3=x/24

x=4*24/3

x=32 beef cattle

There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.

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Perimeter of triangle BCF is 19.24 units. Area of triangle BCF is 15 [tex]units^{2}[/tex].

Distance formula = [tex]\sqrt{(x1-x2)^{2}+(y1-y2)^{2} }[/tex]

Perimeter = a + b + c

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

      s = [tex]\frac{a+b+c}{2}[/tex]

Given, B(3,2), C(1,-2), F(-3,5).

BC = a  = [tex]\sqrt{(3-1)^{2} +(2+2)^{2} }[/tex]

            = [tex]\sqrt{2^{2} +4^{2} }[/tex]

            = [tex]\sqrt{4+16}[/tex]

            = [tex]\sqrt{20}[/tex]

            = 4.47 units

CF = b = [tex]\sqrt{(1+3)^{2} +(-2-5)^{2} }[/tex]

           = [tex]\sqrt{4^{2} +7^{2} }[/tex]

           = [tex]\sqrt{16+49}[/tex]

           = [tex]\sqrt{65}[/tex]

           = 8.06 units

BF = c = [tex]\sqrt{(3+3)^{2} +(2-5)^{2} }[/tex]

           = [tex]\sqrt{6^{2} +3^{2} }[/tex]

           = [tex]\sqrt{36+9}[/tex]

           = [tex]\sqrt{45}[/tex]

           = 6.71 units

Perimeter = a + b + c

                = 4.47 + 8.06 + 6.71

                = 19.24 units

s = [tex]\frac{a+b+c}{2}[/tex]

 = [tex]\frac{19.24}{2}[/tex]

 = 9.62

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

        = [tex]\sqrt{9.62(9.62-4.47)(9.62-8.06)(9.62-6.71)}[/tex]

        = [tex]\sqrt{9.62*5.15*1.56*2.91}[/tex]

        = [tex]\sqrt{224.91}[/tex]

        = 14.99

        ≈ 15  [tex]units^{2}[/tex]

Hence, perimeter is 19.24 units and area is 15  [tex]units^{2}[/tex].

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Number of camels are there at the safari park are 6 unit.

The animals at a safari park include camels, kangaroos and meerkats.

Let kangaroos are represented as K and Camels are represented as C and Meerkats are represented as M.

There are 12 more kangaroos than there are camels which means

K = C + 12.

There are 3 times as many meerkats as there are camels which means

M = 3C.

There are the same number of kangaroos as there are meerkats which means

K = M

If K = M

therefore,

3C = C + 12

2C = 12 ,

C = 6 unit.

So, K = 6 + 12 = 18

Or M = 18

Therefore  number of camels, kangaroos and meerkats at the safari park are 6 , 18 and 18 respectively.

Number of camels are there at the safari park are 6 unit.

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If the fuel efficiencies of each of the cars that week is  20 gallons of gas and  25 gallons of gas.

Let x represent the gallons consumed by car 1

Let y represent gallons consumed by car 2

Formulate an equation:

30x+40y = 1600      equation 1

x+y = 45                equation 2

Substituting equation  2 into equation 1,

30x+40(45-x) = 1600

30x+ 1800-40x = 1600

-10x+1800 = 1600

-10x = -200

Divide both side by -10x

x = -200/-10

  x = 20

Substitute value of x into equation 2

x+y = 45

20+y = 45

     y = 25

Hence,

Car 1 consumes 20 gallons of gas and Car 2 consumes 25 gallons of gas.

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The inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have A basketball player in a game who makes [x] free throws worth 1 point and [y] free throws worth 2 point baskets. The player needs to score at least 28 points to win the scoring title.

The inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

Therefore, the inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

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The value of given ratio is 34.45 peso/kg as the given ratio are : 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.

Given ratio,

1 peso/0.053 dollar

0.053 dollar/1 peso

1 kg/2.2 lbs

2.2 lbs/1 kg

0.83 dollar/1lbs * 2.2 lbs/1 kg* 1 peso/ 0.053 dollar = 34.45 peso/kg

The value of the given ratio is 34.45 pesos per kilogram because the ratios are 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.

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The solutions for the graphed linear inequality are (-4, 0), (-1, 4), (0, 0), and (-2, 0). The correct options are A. (-4, 0), B. (-1, 4), C. (0, 0), and E. (-2, 0)

From the question, we are to determine all of the solutions for the linear inequality whose graph is given

To do this, we will find the points that fall in the solution region (shaded portion of the graph)

The point (-4, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

The point (-1, 4) falls in the solution region. Thus, it is a solution for the linear inequality.

The poi0nt (0, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

The point (4, -1) does not fall in the solution region. Thus, it is not a solution for the linear inequality.

The poi0nt (-2, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

The point (0, -2) does not fall in the solution region. Thus, it is not a solution for the linear inequality.

Hence, the solutions are (-4, 0), (-1, 4), (0, 0), and (-2, 0).

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Answer:

43, 45 are the numbers

Step-by-step explanation:

Answer:

8×2+8×g

Step-by-step explanation:

The rational function is (x + 2)/(x - 3)(x + 2) which has a vertical asymptote at X = 3, and a removable discontinuity at x = -2.

Function

The function is referred as a mathematical expression that defines a relationship between one variable and another variable.

Given,

Here we need to construct a rational function that has a vertical asymptote at x = 3 and a removable discontinuity at x = -2.

Through the given question, we have been given that the rational function that has a vertical asymptote at x = 3, and a removable discontinuity at x = -2.

Here the x = 3 is a vertical asymptote.  

So the one factor in the denominator is (x - 3),

And the discontinuity at x = - 2 can be removed, so the another common factor in the numerator and denominator is x+2.

Therefore, the rational function would be :

f(x)  = (x + 2)/(x - 3)(x + 2)

So, the rational function would be (x + 2)/(x - 3)(x + 2).

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Answer: Gradient: 3. y-intercept: 6

Step-by-step explanation:

Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

Answer:

B; 14 cents/1 ounce

Step-by-step explanation:

So you were given the information that there is 140 cents per 10 ounces. Now, we have to get that into a unit rate, which is a number over 1. It would have to be B because the info. was cents/ounces and typically money is over amount.

So you do 140/10

That equals out to 14/1

So it is 14 cents/1 ounce.

Hope this helps!!! :)

Answer: 23/100

Step-by-step explanation: You would automatically just round it to .23. With any fraction you put it over 100. 23/100 then divide by a factor but for this one there is no simplified fraction so 23/100

The Sales of the electronic store in 1 year is 66,776.88    

Applications of Compound interest:

Compound interest is an interest that is calculated on the principal and the interest accumulated over the previous period. The concept of compound interest can be used in different types of situations like an Increase in population or a decrease in population, Depreciation, or increasing the value of an item, etc.

The formula for compound interest is given by

Total amount, A = P(1 + r/n)^nt  

where  P = initial amount

r = rate of increase              

n = number of compounds in year

t = time period in years

Here we have,

The rate of increase in sales r = 2.7% (per monthly)  

=> r = 2.7/100 = 0.027

Here sales are increased monthly

then the number of compounds per year = 12

Sales in this month, P = 65000  

From above formula

Sales in 1 year, A = 65000(1 + 0.027/12)¹²

= 65,000(1 + 0.00225)¹²

= 66,776.88    

Therefore,

Sales of the electronic store in 1 year =  66,776.88      

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