lesson 14 A Solving Inequalities 12x-+4 >9x-14

Answer:

(A) it's just a guess but its the only answer that fits with the question

Step-by-step explanation:

The slope of the line passing through the given points is -2.5.

To find the slope of a line passing through two points, we need to use the formula:

Slope = (Change in y) / (Change in x

We can choose any two points from the given table to find the slope of the line. Let's choose the points (4, 19) and (6, 14).

Change in y = 14 - 19 = -5

Change in x = 6 - 4 = 2

Slope = (-5) / 2 = -2.5

Therefore, the slope of the line passing through the given points is -2.5.

The slope of a line represents the steepness of the line. If the slope is positive, the line is increasing as we move from left to right. If the slope is negative, the line is decreasing as we move from left to right. A slope of 0 represents a horizontal line, while an undefined slope represents a vertical line.

In this case, the slope of -2.5 indicates that the line is decreasing at a moderate rate as we move from left to right. The higher the absolute value of the slope, the steeper the line.

It is important to note that the slope is constant for any two points on a straight line. Therefore, we can choose any other two points from the table to find the slope, and we will get the same result.

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Answer:

Lizzie practiced for 7 + 4 + 14 + 20 = 45 minutes on Thursday and Friday altogether.

Step-by-step explanation:

Answer:

your question is being denied due to lack of importance

Step-by-step explanation:

Answer:

The domain is \(D_C = [0,\infty)\)

The range is: \(R_C = [20,\infty)\)

Step-by-step explanation:

Domain and range of a function:

The domain of a function are the values that the input assumes, while the range are the values that the output assumes.

In this question:

\(C(m) = 0.05m + 20\)

m is the input, which is the number of phone calls, which can be any number between 0 and infinite. So

The domain is \(D_C = [0,\infty)\)

When the input is m = 0, the value of C(0) = 20. As m increases, so does C(m). This means that:

The range is: \(R_C = [20,\infty)\)

Answer:

Option 1  because

domain: m is Greater than or equal to zero

range: C is greater than or equal to twenty

Step-by-step explanation:

The (C) cost of the bill is always going to start at twenty and be higher depending on how many (m) minutes were used.

Edg2021

Answer:

x = 136

Step-by-step explanation:

This one is quite simple

The shape formed inside of the circle is a quadrilateral.

when a quadrilateral is formed inside of a circle opposite angles of the quadrilateral will add up to 180

we are given x's opposite angle so we can find x by subtracting the given angle's measure (44) from 180

so x = 180 - 44

180 - 44 = 136

hence, x = 136

Answer:

To find the first blank number, you can use reverse operations. Something + 7 must equal 3. So, the blank number is 7 subtracted from 3.

3-7=-4

The first blank number is -4. To find the second blank number, add 10 to the first blank number (-4).

-4+10=6

The second blank number is 6.

Hope this helps! :)

For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .

For X > 8, n = 11, π = .65 ; compound event probability is  approximately 0.9198.

For X ≤ 1, n = 13, π = .40 ; compound event probability is  approximately 0.6646 .

a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:

P(X ≤ 15)

=  ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).

b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:

P(X > 8) = 1 - P(X ≤ 8)

= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗

Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.

Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).

c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:

P(X ≤ 1)

= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

soln,

y=37/100×x

or, 100y=37x.....is the answer

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equation of y is 37% of x is

y = 0.37x

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

2 + 3 - 4 is an expression.

2x4 + 4x = 4 is an expression.

We have,

y is 37% of x.

This can be written as,

y = 37/100 of x

y = 0.37x

Thus,

The equation of y is 37% of x is

y = 0.37x

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The 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list is (0.28, 0.38).

Let's calculate the sample proportion;

Sample proportion = 93 / 283 = 0.33

The margin of error of the data can be calculated by;

Margin of error = Z * √(p(1-p) / n)

where:

Margin of error = 1.96 * sqrt(0.33 * (1-0.33) / 283) = 0.05

The confidence interval can be calculated as

Confidence interval = 0.33 ± 0.05 = (0.28, 0.38)

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Answer:

no it is. not

Step-by-step explanation:

but some consider it an identity but it's not

The nonprofit company charges $100 each ticket for the opportunity to win a $50,000 vintage Mustang. With four prizes and 1500 tickets sold, he expects to lose $54.53 on each one.

The chance of winning is multiplied by the bet multiplier to determine the mathematical anticipated value. Typically, expected value is estimated for a bet of one unit. To determine the predicted profit, multiply the win chance by the stake amount.

Chances of getting first prize = 1/1500

Chances of getting second prize = 1/1500

Chances of getting third prize = 1/1500

Chances of getting Fourth prize = 1/1500

Cost of one ticket = $100

Expected winning = -100 +1/1500 (56000 + 6600 + 4300 + 1300)

= -100 + 68200/1500

= - 54.53 dollars

There is an expected loss of $54.53.

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Answer:

Multiplied by -4

Step-by-step explanation:

-5 (-4) = 20

20 (-4) = -80

-80 (-4) = 320

Answer:

The slope is -3

Step-by-step explanation:

Hey there!

y=-3x+7

-3 is the slope. If you remember y=mx+b, m is the slope. In this case, it's -3.

b is the y-intercept. It is where the graph of a linear function intersects the y-axis.

In this case, b=7.

Hope it helps and good luck!

\(GraceRosalia\)

Answer: $48.60

Step-by-step explanation:

The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

Answer:

The circumference of the circle is 94.2m.

Step-by-step explanation:

The circumference of a circle is:

C = pi•d

Fill in the diameter which was given, 30m.

C = pi•30

use 3.14 for pi

C = 3.14 • 30

C = 94.2

The circumference is 94.2m

Answer:

\( 303.3 \leq \mu \leq 413.6\)

We need to remember that the confidence interval for the true mean is given by:

\( \bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}\)

Since the upper limit for the confidence interval is lower than the value of 425 we don't have enough evidence to conclude that the the mean skidding distance is at least 425 meters at the 5% of signficance used so then the confidence interval not support the loggers claim

Step-by-step explanation:

We know that they use a sample size of n =20 and the confidence interval for the true mean skidding distance along a new road in a European forest is given by:

\( 303.3 \leq \mu \leq 413.6\)

We need to remember that the confidence interval for the true mean is given by:

\( \bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}\)

Since the upper limit for the confidence interval is lower than the value of 425 we don't have enough evidence to conclude that the the mean skidding distance is at least 425 meters at the 5% of signficance used so then the confidence interval not support the loggers claim

we have the rational function

Remember that, the denominator cannot be equal to zero

so

The domain of the given function is all real numbers, except for n=0

that means

For n=0 ----> there is a vertical asymptote

therefore

The vertical asymptote is n=0 (the y-axis)

using a graphing tool

see the attached figure below

Find out horizontal asymptote

we have

Degree on Top is Equal to the Bottom

In this case, the graph has a horizontal asymptote along

C=81/1=81

the horizontal asymptote is at C=81

see the figure below

Answer:

The rate of simple interest for loan was 8%

Step-by-step explanation:

Given

Principal amount = p = $6200

Time = t = 1 year

Amount after interest = $6696

We have to calculate the amount of interest first

So,

Interest amount =I= Amount after interest - principal amount

= 6696-6200

=$496

The formula for simple interest is:

The rate of simple interest for loan was 8%

Keywords: Simple interest, percentage

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Answer:

1

Step-by-step explanation:

Common factors of:

18: 1,2,3,6,9,18

54: 1,2,3,6,9,18,27,54

29: 1,29

39: 1,3,13,39

GCF is 1

Answer: See explanation

Step-by-step explanation:

A factor is one of two or more numbers that divides a given number without a remainder.

18: 1, 2, 3, 6, 9, 18

54: 1, 2, 3, 6, 9, 18, 27, 54

GCF of 18 & 54: 18

29: 1

39: 1, 3, 13, 39

GCF of 29 & 39: 1

If you're asking for the GCF of all these numbers, its 1

Answer:

10 times bigger

Step-by-step explanation:

b is 5a.

and a is 2c, therefore to see how many b (in terms of c) is, we have to multiply 5 by 2, which gets us the

The final answer of 10 times bigger

Answer:

11/12

Step-by-step explanation:

5/4 ---- 15/12

1/3------ 4/12

11/12

Answer:

11/12

Step-by-step explanation:

Hello! The answer to this question is 11/12. In this case, we want to make the denominator the same. To make the denominator the same we need to find the lowest common multiple. In this case the lowest common multiple is 12, (because 12 is the smallest number that 3 and 4 are both factors for.) 4x3=12 so now the denominator in 5/4 is 12 but whatever we do the bottom we do to the top. So since we multiplied the bottom (denominator) by 3 we have to multiply the top (numerator) by 3 as well. 5x3=15. Therefore, we now changed 5/4 to 15/12. Now, we have to do the same to the 1/3. 3x4= 12. 1x4=4. Now we have the two numbers, 15/12 and 4/12. 15/12-4/12=11/12! Therefore, your answer is 11/12. Hope this explanation helps! Happy learning!

The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.

The exact value of sin(pi/3) can be determined using trigonometric properties and identities.

First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.

To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.

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If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection, P = kx. The smaller the deflection at a constant load, the stiffer the spring, k.

Given that,

If spring A has a spring constant which is 8 times spring B's spring constant,

Let us assume,

A spring is cut into two parts of length La and Lb

Also given that La : Lb

La : Lb = 1 : 8

The total of spring constant is = 1 + 8 = 9

If the length of spring is L , then La

La = \(\frac{L}{9}\)

And length of B , Lb

Lb = \(\frac{8L}{9}\)

We know, for spring force , spring constant or stiffness of spring is inversely proportional to length of spring .

K ∝ 1 / L

If initial spring constant is k then,

kL= KaLa = KbLb

Then,

Ka = \(\frac{K}{\frac{1}{9} }\)

Ka = 9K

And Kb = \(\frac{K}{\frac{8}{9} }\)

Kb = \(\frac{9K}{8}\)

Hence, stiffness of A is given by, 9K

Stiffness of B is given by  \(\frac{9K}{8}\)

Therefore,

If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and  \(\frac{9K}{8}\)

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The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

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26,460 cans of soda

Step-by-step explanation:

First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460