The solution to which inequality is graphed below?

Answer:

The correct answer for me is 2.5926

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

A' ( ....., 3). B' ( ....., 2)

Scroll down for me to see x values.

Answer

Yes, zero is contained in the interval

Answer:

f(x) [tex]\leq[/tex] 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

Answer:(30)

Step-by-step explanation:

888

The 95% confidence interval for the proportion of residents victimized by a criminal is approximately 0.275 to 0.419. The lower limit is 0.275, and the upper limit is 0.419.

To construct a 95% confidence interval for the proportion of all residents in the city who have been victimized by a criminal, we can use the formula for the confidence interval of a proportion:

Lower limit = sample proportion - margin of error

Upper limit = sample proportion + margin of error

First, we calculate the sample proportion:

sample proportion = number of respondents who reported being victimized / total sample size

sample proportion = 52/150 = 0.347

Next, we calculate the margin of error:

margin of error = critical value * standard error

The critical value for a 95% confidence interval is approximately 1.96 (obtained from a standard normal distribution table).

To calculate the standard error:

standard error = square root of [(sample proportion * (1 - sample proportion)) / sample size]

standard error = √[(0.347 * (1 - 0.347)) / 150] ≈ 0.037

Now, we can calculate the margin of error:

margin of error = 1.96 * 0.037 ≈ 0.072

Finally, we can construct the confidence interval:

Lower limit = 0.347 - 0.072 ≈ 0.275

Upper limit = 0.347 + 0.072 ≈ 0.419

Therefore, the 95% confidence interval for the proportion of residents victimized by a criminal is approximately 0.275 to 0.419. The lower limit is 0.275, and the upper limit is 0.419.

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Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer:

(-1,1)

Step-by-step explanation:

Let [tex]\sec(\sin^{-1}(x))=\sec\theta[/tex] so [tex]\theta=\sin^{-1}(x)[/tex] and [tex]\sin\theta=x[/tex]:

[tex]\displaystyle \sin\theta=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{x}{1}[/tex]

[tex]\displaystyle \sec\theta=\frac{1}{\cos\theta}=\frac{\text{Hypotenuse}}{\text{Adjacent}}=\frac{1}{\sqrt{1-x^2}}[/tex]

Adjacent side can be calculated from the Pythagorean Theorem

Since [tex]1-x^2 > 0[/tex], then [tex]-1 < x < 1[/tex], making the domain [tex](-1,1)[/tex] for the composite trig function.

Step-by-step explanation:

Let us take the length of the rectangle as 1 m.

Now, if we want to divide the rectangle by 1/2, then the answer would be 1*1/2= 0.5m

Now, if we want to divide the rectangle by 1/3, then the answer would be

1*1/3=0.333....m

Answer:

it is

exactly 15 points

that will be included in the construction

To construct a perpendicular line using a point on the line, the following steps need to be followed:

1. Draw a line that passes through the given point and is perpendicular to the given line.

2. This perpendicular line should intersect the given line at a 90-degree angle.

3. Use a protractor to measure the angle between the given line and the perpendicular line.

4. Divide this angle in half to determine the angle that the perpendicular line should make with the given line.

5. Draw a line at this angle from the given point, and this line will be perpendicular to the given line.

The equation of the circle with center (9,8) and touching the x-axis is given as follows:

(x - 9)² + (y - 8)² = 64.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The coordinates of the center for this problem are given as follows:

(9,8).

Hence:

(x - 9)² + (y - 8)² = r².

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, and since it touches the x-axis(y = 0), the measure is given as follows:

r = 8 - 0

r = 8 units.

Thus the equation is given as follows:

(x - 9)² + (y - 8)² = 8²

(x - 9)² + (y - 8)² = 64.

The problem asks for the equation of the circle with the given features.

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Answer:

Acute angles are angles that measure less than 90 degrees. Three examples of acute angles are:

1. 30-degree angle

2. 45-degree angle

3. 60-degree angle

hope it helps....

Answer: The answer is B

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

[tex]\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}[/tex]

Use DeMoivre's Theorem

[tex]\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i[/tex]

Answer: The cost of printing business cards through the printing company can be represented by the equation:

c = 12 + 3.99b

Step-by-step explanation:

The initial fee charged by the printing company is $12 and each box of 100 business cards costs $3.99. Therefore, the total cost of printing b boxes of business cards is $12 plus $3.99 times b.

Therefore, the correct answer is:

c = 12 + 3.99b

Answer:

c=3.99b+12

Step-by-step explanation:

We have a bare minimum fee of $12.  We also have $3.99 for each box, which contains 100 business cards each.

We can write an equation like this:

c=3.99b+12

Hope this helps! :)

The distribution is bimodal (a), eight men weigh less than 150 lbs (b), and the percentage of males that weigh more than 230 lbs is 3.17%.

A: Distribution: The distribution can be classified as bimodal, which means there are two peaks in the graph.

B. The number of males that weigh less than 150 lbs can be determined as follows:

110 - 120 lbs = 2 males

130 -140 lbs = 2 males

140 - 150 lbs = 4 males

2 + 2 + 4 = 8 males

C. The percentage of males that weigh more than 230 lbs can be calculated as follows:

63 = 100%

2   = x

x= 2 x 100 / 63

x = 200 / 63 = 3.17%

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Answer:

11

Step-by-step explanation:

if g(x) = 2x^2 + 5x -1  then g(-4) = 2(-4)^2 + 5(-4) -1

This simplifies to 2(16) - 20 -1  = 32 - 20 - 1 = 11

Answer:

Step-by-step explanation:

plug in -4 for x is all you do.

2(-4)^2+5(-4)-1=11

Juan's three children, aged 6, 8, and 9, are to receive 667 World Cup figurines as a reward for their school performance.

To distribute the 667 World Cup figurines proportionally among Juan's three children based on their ages, we need to calculate the proportion of figurines each child should receive.

Total figurines: 667

Let's calculate the proportion for each child:

Child 1 (6 years old):

Proportion = (Age of Child 1) / (Sum of Ages of all children)

Proportion = 6 / (6 + 8 + 9) = 6 / 23

Child 2 (8 years old):

Proportion = (Age of Child 2) / (Sum of Ages of all children)

Proportion = 8 / (6 + 8 + 9) = 8 / 23

Child 3 (9 years old):

Proportion = (Age of Child 3) / (Sum of Ages of all children)

Proportion = 9 / (6 + 8 + 9) = 9 / 23

Now, let's calculate the number of figurines each child will receive based on their proportions:

Child 1:

Figurines = Proportion of Child 1 * Total figurines

Figurines = (6 / 23) * 667

Child 2:

Figurines = Proportion of Child 2 * Total figurines

Figurines = (8 / 23) * 667

Child 3:

Figurines = Proportion of Child 3 * Total figurines

Figurines = (9 / 23) * 667

After performing the calculations, we will have the number of figurines each child should receive.

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Note the translated question is Juan has 3 children of 6, 8 and 9 years old. To reward their performance at school, Juan wants to give them 667 World Cup figurines. To make the delivery more fair, Juan distributes the figurines proportionally, according to the ages of his children.

The probability of choosing a book with blue on its cover and replacing it before choosing a book with white on its cover is 15/256, or approximately 0.059.

To find the probability of choosing a blue book and then a white book, we need to consider the total number of books and the number of blue and white books in the given scenario.

The total number of books on the shelf is:

5 blue + 6 red + 1 orange + 3 white + 1 blue and white = 16 books

The probability of choosing a blue book and replacing it before choosing a white book can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The number of favorable outcomes is the number of blue books, which is 5. After choosing a blue book and replacing it, the probability of choosing a white book is 3, as there are 3 white books left.

Therefore, the probability of choosing a blue book and then a white book can be calculated as:

[tex](5/16) \times (3/16) = 15/256[/tex]

The probability calculation is based on the assumption that each book is equally likely to be chosen and that the events of choosing each book are independent of each other.

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To find a quarter of the difference between N8450 and N1290, we first need to calculate the difference between the two values, and then divide that difference by 4.

The difference between N8450 and N1290 can be calculated by subtracting N1290 from N8450:

N8450 - N1290 = N7160

Now, we have the difference of N7160. To find a quarter of this difference, we divide it by 4:

N7160 / 4 = N1790

Therefore, a quarter of the difference between N8450 and N1290 is N1790.

In other words, if we take N8450 and subtract N1290 from it, the result is N7160. And if we divide this difference by 4, we get N1790.

It's important to note that the "N" in the values N8450, N1290, N7160, and N1790 likely refers to some currency or numerical unit. Without further context, we cannot determine the exact nature of this unit, but the calculations presented demonstrate how to find a quarter of the difference between two given values.

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To calculate the value of h(2), we need to use the given information and equations. Let's break down the problem step by step.

Given:

[tex]ƒ(x) = g(x) + h(x)\\g(x) = x^2 + 3y\\ƒ(x) = x^3[/tex]

We want to find h(2), which means we need to determine the value of h when x = 2.

First, let's substitute the given expressions for g(x) and ƒ(x) into the equation ƒ(x) = g(x) + h(x):

[tex]x^3 = (x^2 + 3y) + h(x)[/tex]

Now, we can isolate h(x) by moving the other terms to the other side of the equation:

[tex]h(x) = x^3 - (x^2 + 3y)[/tex]

Since we want to calculate h(2), we substitute x = 2 into the equation:

[tex]h(2) = 2^3 - (2^2 + 3y)\\ = 8 - (4 + 3y)\\ = 8 - 4 - 3y\\ = 4 - 3y[/tex]

Therefore, h(2) is equal to 4 - 3y.

The value of h(2) depends on the value of y. Without any additional information or an equation relating to y, we cannot determine a specific value for h(2). However, we have expressed it in terms of y as 4 - 3y.

If you have any further information about y or any other equations or constraints related to h(x), please provide them so that we can calculate a specific value for h(2).

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Assuming that average refers to the mean, the following claims must be true based on this information:

Last year some of their clients made a profit of exactly 10%.

This year at least one of their clients will make a profit of at least 10%.

Last year at least one of their clients made a profit of less than 15%.

Based on the information given, the following claims must be true:

1. Last year some of their clients made a profit of exactly 10%.

2. This year at least one of their clients will make a profit of at least 10%.

3. Last year at least one of their clients made a profit of less than 15%.

These statements are true because the average profit of 10% implies that some clients made a profit of exactly 10% (statement 1), and since the average includes all clients, it is guaranteed that at least one client will make a profit of at least 10% this year (statement 2). Additionally, since the average is 10%, it is possible for some clients to have made a profit of less than 15% (statement 3).

Therefore, the correct answer is:

Last year some of their clients made a profit of exactly 10%.

This year at least one of their clients will make a profit of at least 10%.

Last year at least one of their clients made a profit of less than 15%.

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The surface area of the given triangular prism is 164 square feet.

To find the surface area of a solid, we need to calculate the area of each individual face and then sum them up. In the given case, we have a triangular prism with dimensions of 5 ft (height), 8 ft (base length), and 4 ft (base width).

The triangular prism has three rectangular faces and two triangular faces. Let's calculate the area of each face:

The top and bottom faces are rectangles with dimensions of 8 ft by 4 ft. The area of each rectangular face is given by length times width, so the area of one face is [tex]8 ft \times 4 ft = 32[/tex] square feet. Since there are two rectangular faces (top and bottom), their combined area is [tex]2 \times 32 = 64[/tex]square feet.

The front and back faces are also rectangles with dimensions of 5 ft by 8 ft. The area of each rectangular face is [tex]5 ft \times 8 ft = 40[/tex] square feet. Since there are two rectangular faces (front and back), their combined area is [tex]2 \times 40 = 80[/tex] square feet.

The side face is a triangle with a base of 8 ft and a height of 5 ft. The area of a triangle is given by half the base times the height, so the area of the side face is [tex](1/2) \times 8 ft \times 5 ft = 20[/tex] square feet.

To find the total surface area, we add up the areas of all the faces: 64 square feet (rectangular faces) + 80 square feet (front and back faces) + 20 square feet (side face) = 164 square feet.

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Answer:

P(t) = 800 * 0.98^t

Step-by-step explanation:

If the population of a species in a preserve is 800, and it is expected to decrease at a rate of 2% each year, we can use the exponential decay model to represent the population after t years:

P(t) = P (1 - r)^t

P = initial population (800 in this case)

r = decay rate (2% or 0.02 as a decimal)

t = time

Substituting the given values into the formula, we get:

P(t) = 800 * (1 - 0.02)^t

P(t) = 800 * 0.98^t

So, the equation is P(t) = 800 * 0.98^t

The equation for exponential decay is given by:

where:

Substituting the given values, we get:

Simplifying this equation, we get:

[tex]\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]

JetBlue can recognize the change fee revenue of $250 immediately and the additional travel costs revenue of $50 on August 15th when the customer flies.

JetBlue can recognize revenue for the ticket sold on May 1st, 2019, when the customer postpones the flight until August 15th and pays an additional $300, under the following conditions:

1. The change fee of $250 is recognized as revenue immediately when the change is made. This is because the change fee represents the consideration received by JetBlue for modifying the ticket.

2. The increased travel costs of $50 ($300 - $250) should be allocated to the new flight date, which is August 15th. JetBlue can recognize this portion of the revenue on August 15th when the customer actually flies.

The initial ticket cost ($0 if forfeited completely) is not recognized as revenue since it represents breakage, and revenue is recognized when the service is provided (i.e., when the customer flies).

Therefore, JetBlue can recognize the change fee revenue of $250 immediately and the additional travel costs revenue of $50 on August 15th when the customer flies.

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Answer:

6%

Step-by-step explanation:

Tax rate = sales tax / price

We Take

(3.54 ÷ 59) x 100 = 6%

So, the state sales tax rate in Florida is 6%

Answer:

5,150,000 people

Step-by-step explanation:

Let's denote the population of Indiana residents aged 5 years and older as x. We know that 453200 people were afraid of the dark, which is 8.8% of the population x. We can use this information to set up an equation:

453200 = 0.088x

To solve for x, we can divide both sides by 0.088:

x ≈ 5,150,000

Therefore, the estimated population of Indiana residents aged 5 years and older is approximately 5,150,000

Answer:

  5.15 million

Step-by-step explanation:

You want the population of Indiana 5 years and older, given that 453200 people represents 8.8% of that age group.

The given relationship is ...

  453200 = 0.088 × population

In millions, we can write this as ...

  0.453200 = 0.088 × population

Then the population in millions is ...

  population = 0.4532/0.088 = 5.15

The population of Indiana 5 years and older is about 5.15 million.

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None of the provided options accurately describe the relationship between the sides of the original square and the scale model.

Based on the information given, the scale model was created using a factor of 4. This means that each dimension of the scale model is 1/4 of the corresponding dimension of the original square.

The original square has sides measuring 8 feet.

To determine the length of each side of the scale model, we divide the length of the corresponding side of the original square by the scale factor:

Length of each side of the scale model = 8 feet / 4 = 2 feet.

Now, let's evaluate the given options:

a) Each side of the original square is the length of each side of the scale model.

This option is incorrect because the length of each side of the original square is 8 feet, whereas the length of each side of the scale model is 2 feet.

b) Each side of the original square is 4 times the length of each side of the scale model.

This option is incorrect because the length of each side of the original square is not 4 times the length of each side of the scale model. In fact, it is 4 times larger.

c) Each side of the original square is the same length as each side of the scale model.

This option is incorrect because, as mentioned earlier, the length of each side of the original square is 8 feet, whereas the length of each side of the scale model is 2 feet.

d) Each side of the original square is 4 feet less than the scale model.

This option is incorrect because the length of each side of the original square is not 4 feet less than the scale model. In fact, it is 6 feet larger.

Based on the evaluation, none of the provided options accurately describe the relationship between the sides of the original square and the scale model.

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a) Completing the table of values for y = x² - 2x - 3:

x | y

-2 | 11

-1 | 2

0  | -3

1  | -4

2  | -3

3  | 2

b) i) Comparing the values in the table to the equation y = x² - 2x - 3, we can see that the corresponding curve is Curve A.

ii) To estimate the value of y when x = 2.5, we can interpolate using the nearby points in the table. Looking at the table, we see that when x is between 2 and 3, the corresponding y values are -3 and 2. Since x = 2.5 lie halfway between these two values, we can estimate the value of y to be approximately halfway between -3 and 2, which is -0.5.

iii) To find the values of x when y = 1, we need to solve the equation x² - 2x - 3 = 1. Rearranging the equation, we get x² - 2x - 4 = 0. This is a quadratic equation, which can be factored as (x - 4)(x + 1) = 0. Setting each factor to zero, we find x = 4 and x = -1.

In summary:

a) Completing the table, we have:

x | y

-2 | 11

-1 | 2

0  | -3

1  | -4

2  | -3

3  | 2

b) i) Curve A matches the equation y = x² - 2x - 3.

ii) The estimated value of y when x = 2.5 is approximately -0.5.

iii) The values of x when y = 1 are x = 4 and x = -1.

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a. The value of c in the probability mass function when x is a discrete random variable is 0.15

b. The value of P(x > 3)  is 0.25

c. The value of P(3 ≤ x ≤ 5) is 0.15

d.  the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

In probability mass function, sum of the probabilities for all possible values of x must be equal to 1

Thus,

0.2 + 2c + 0.2 + c + 0.1 = 1

Solve for c

c = 0.15

Hence, the probability mass function for x can be rewritten as;

x:      0     1     2   4     10

p(x): 0.2 0.3 0.2 0.15 0.1

To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10

sum of their  probabilities

P(x > 3) = P(x = 4) + P(x = 10)

= 0.15 + 0.1

= 0.25

To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:

P(3 ≤ x ≤ 5) = P(x = 4)

= 0.15

To find P(x < 6 | x ≥ 1), use the formula for conditional probability:

P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)

To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive

P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)

= 0.3

To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:

P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)

= 0.85

Therefore, we have

P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353

Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

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