Graph the inequality on the axes below.y < 1/2x + 1

Answer:

times the nimbers

Step-by-step explanation:

240

Answer:

It was a 29% decrease in cost.

Answer:

Robert's semi-monthly salary is $2,500. This means he earns $5,000 per month. The Medicare tax rate is 1.45%, so his employer pays 1.45% of his salary for Medicare tax. This is equal to $72.50 per month. Since he is paid semi-monthly, his employer pays $36.25 for his Medicare tax each pay period. Therefore, the answer is C. $36.

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Answer:

P = 48xy + 4 units.

Step-by-step explanation:

To find the perimeter of a square, the formula P = 4s (where 's' is the side-length):

Substitute in 12xy + 1 for s:

P = 4(12xy + 1)

Distribute the 4:

P = 4(12xy) + 4(1)

P = 48xy + 4 units.

Answer:

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Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.

In this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.

By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.

Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.

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The arc length of the arc is (11/5)π inches, or approximately 6.926 inches (rounded to three decimal places).

We may use the following formula to determine the arc length of an arc having a radius of 18 inches and a centre angle of 22°:

(Central angle / 360°) x (2r) Equals arc length

where r denotes the arc's radius.

Inputting the values provided yields:

arc length is equal to (22°/360°) x (2x18 inches).

arc length is equal to 11/180 times 36 inches.

11.5 inches is the length of an arc.

As a result, the arc's length is (11/5) inches, or roughly 6.926 inches (rounded to three decimal places).

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Answer:

⌈x⌉ = 7

⌊x⌋ = 6

Step-by-step explanation:

⌈x⌉ is the ceiling function, so we round up to the nearest integer, hence, ⌈x⌉ = 7

⌊x⌋ is the floor function, so we round down to the nearest integer, hence, ⌊x⌋ = 6

A) The probability that a piece of toast lands butter side down when dropped from a 2.5-foot high table is 0.81 means that out of all possible outcomes of dropping a piece of toast from that height, 81% of the time it will land with the butter side facing down.

B) No, it does not mean that exactly 81 out of 100 pieces of toast will land butter side down. The probability of a single piece of toast landing butter-side down is 0.81, so when 100 pieces of toast are dropped, we can expect around 81 of them to land butter-side down on average, but the actual number may vary due to randomness.

C) Maria may or may not be surprised, depending on her expectations and the level of significance she sets for her test. To carry out a simulation, we can use a random number generator to simulate dropping 10 pieces of toast with a probability of 0.81 of landing butter side down. We can repeat this simulation multiple times, say 1000 times, and count the number of times the simulation yields 4 or fewer pieces of toast landing butter side down. If this rarely happens (e.g., less than 5% of the time), we can say that Maria should be surprised.

D) The dot plot displaying the results of 50 simulated trials of dropping 10 pieces of toast can provide some information about the variability of the outcomes. If most of the dots are clustered around 8 or 9 (which would correspond to 80% or 90% of the pieces of toast landing butter side down), then Maria's result of only 4 out of 10 pieces landing butter side down would be considered unusual, and she should be surprised. However, if the dots are spread over a wide range, it would suggest that getting 4 out of 10 is not that uncommon, and Maria should not be surprised.

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The value of x in the given figure is 8.

In the given figure there are two lines which are parallel.

We have to find the value of x.

In the straight line the sum of angles is 180 degrees.

8x+1+115=180

8x+116=180

Subtract 116 from both sides:

8x=180-116

8x=64

Divide both sides by 8:

x=64/8

x=8

Hence, the value of x in the given figure is 8.

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This function represents a downward-opening parabola with a vertical shift of 6 units upward.

The given function is Ƒ(t) = –1/(2t²) + 2t + 6.

This is a quadratic function in terms of t. The general form of a quadratic function is f(t) = at² + bt + c, where a, b, and c are constants.

Comparing the given function Ƒ(t) = –1/(2t²) + 2t + 6 with the general form, we can see that a = -1/2, b = 2, and c = 6.

So, the function Ƒ(t) can be written as:

Ƒ(t) = (-1/2)t² + 2t + 6

This function represents a downward-opening parabola with a vertical shift of 6 units upward.

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Answer:

Step-by-step explanation:

The unit circle has a hypotenuse of 1.

\(sin\theta=\frac{y}{h}\\ \\ sin\theta=0.866\)

Answer:

A:1

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we open the parentheses:

2*3x-2*7+18=10

Now we multiply:

6x-14+18=10

6x+4=10

Now we move +4 to the other side so it will be -4

6x=10-4

6x=6

We divide both sides by 6

x=1

Answer:

Step-by-step explanation:

To determine the significance level for the difference in means between the first two groups, we need to refer to the provided normal distribution. However, you haven't provided the details or parameters of the normal distribution, such as the mean and standard deviation. Without this information, it is not possible to determine the exact significance level required.

In hypothesis testing, the significance level, typically denoted as α (alpha), is chosen by the researcher before conducting the experiment. It represents the threshold at which the researcher considers the results to be statistically significant. Commonly used significance levels are 0.05 (5%) or 0.01 (1%).

Please provide the necessary parameters or more information about the normal distribution to determine the specific significance level for the difference in means between the first two groups.

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Answer: 35/100

Step-by-step explanation: percents are always out of 100, so 100 will always be in the denominator.

Answer:

35/100

Step-by-step explanation:

35% is from 100%, so same for the fraction form 35/100

Answer:

\(\displaystyle \sec(\theta)=\frac{9\sqrt{17}}{17}\)

Step-by-step explanation:

We are given that:

\(\displaystyle \sin(\theta)=\frac{8}{9}\text{ and } \tan(\theta)>0\)

And we want to find sec(θ).

First, note that both sine and tangent are positive. The only quadrant in which this can occur is QI. Hence, all trig ratios will be positive.

Also, recall that sine is the ratio of the opposite side to the hypotenuse. Using this information and the Pythagorean Theorem, we can determine the adjacent side:

\(a=\sqrt{9^2-8^2}=\sqrt{17}\)

So, with respect to θ, the adjacent side is √(17), the opposite side is 8, and the hypotenuse is 9.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

\(\displaystyle \sec(\theta)=\frac{9}{\sqrt{17}}=\frac{9\sqrt{17}}{17}\)

Again, since θ is in QI, all trig ratios are positive.

The vertex of the absolute value function is (-7,-2)

The function is given as:

f(x) = 3|x + 7| - 2

The above function is an absolute value function.

An absolute value function is represented as:

f(x) = a|x - h| + k

Where:

Vertex = (h,k)

By comparison, we have:

(h,k) = (-7,-2)

Hence, the vertex of the absolute value function is (-7,-2)

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A logarithmic function is the inverse of an exponential function.

A logarithmic function is the inverse of an exponential function.

Now we have the function;

f(x) = log(x) and the translated function f(x) = log (x-h) + k.

Similarly;

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Missing parts;

Use the graphing calculator to graph the parent function.

f(x) = log(x)

Add the translated function.

f(x) = log (x-h) + k

Plug in different values of h and k to answer the following questions.

What happens when h is positive?

What happens when h is negative?

What happens when k is positive?

What happens when k is negative?

Answer:

When h is positive: horizontal shift to the right

When h is negative: horizontal shift to the left

When k is positive: vertical shift up

When k is negative: vertical shift down

Step-by-step explanation:

got it right on Edge

Answer:

A. Rebate

Step-by-step explanation:

Rebate is when you give back some of the money used to purchase or pay for something, which is promotion 2 in this case

Answer:

9

Step-by-step explanation:

Add all the states provided which is 9 since it said 1/2 chance answer is 9

Looks like the given function is

\(f(x)=\dfrac1{9-x}\)

Recall that for |x| < 1, we have

\(\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n\)

We want the series to be centered around \(x=4\), so first we rearrange f(x) :

\(\dfrac1{9-x}=\dfrac1{5-(x-4)}=\dfrac15\dfrac1{1-\frac{x-4}5}\)

Then

\(\dfrac1{9-x}=\displaystyle\frac15\sum_{n=0}^\infty\left(\frac{x-4}5\right)^n\)

which converges for |(x - 4)/5| < 1, or -1 < x < 9.

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Answer:

It would be 0

Step-by-step explanation:

as both points lie on x-axis

The time in Pittsburgh is 3 hours more than the time in San Diego

Then when the plane departs from San Diego at 7: 30 a.m.

The time in Pittsburgh will be 7: 30 + 3 hours = 10: 30 a.m.

The plane takes 4 1/2 hours

Then we will add 10: 30 a.m. by 4 hours and 30 minutes

10 + 4 = 14 and 30 + 30 = 60 minutes which = 1 hour

Then 14 + 1 = 15

The time 15 is 3: 00 p.m.

This means after 10 a.m 11, 12, 1, 2 p.m and another 1 hour from the minutes part will make the answer 3 p.m.

The arrival time in Pittsburgh is 3 p.m.

Answer:

A. B. C. D.

Step-by-step explanation:

because Which statement describes the end behavior of the function f(x)= |x-7| -7?

A. As x approaches negative infinity, f(x) approaches negative infinity.

B. As x approaches negative infinity, f(x) approaches positive infinity.

C. As x approaches positive infinity, f(x) is no longer continuous.

D. As x approaches positive infinity, f(x) approaches negative infinity.

Answer:

  $2496

Step-by-step explanation:

You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.

The dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.

In square yards, the area is ...

  (6 yd)(8 yd) = 48 yd²

The cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.

  (48 yd²)($52/yd²) = $(48·52) = $2496

The total price to carpet the floor is $2496.

__

Additional comment

We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.

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Answer:

cos θ = -5/13

Step-by-step explanation:

sin θ = -12/13

Use Pythagorean identity.

sin²θ + cos²θ = 1

(-12/13)² + cos²θ = 1

144/169 + cos²θ = 1

cos²θ = 25/169

cos θ = ±5/13

θ is in the 3rd quadrant, so cos θ < 0.

cos θ = -5/13

Answer:

X < 6

Step-by-step explanation:

Since 6 times 6 = 36, then for this equation to be true, x would have to be less than 6.