A
Select the correct answer.
Which system of linear inequalities is represented by this graphed solution?
OA y> -+2
V≤ 32-1
OB V<= +2
v2 32-1
Ocy> -2x + 2
vs-1
OD S-2 +2
v < 30-1

Answer:

92.

Step-by-step explanation:

To find the range of the set of numbers 20, 3, 95, 54, 71, 66, we first need to find the difference between the largest and smallest numbers in the set.

Largest number = 95

Smallest number = 3

Range = Largest number - Smallest number

Range = 95 - 3

Range = 92

Therefore, the range of the set of numbers 20, 3, 95, 54, 71, 66 is 92.

Answer:92

Step-by-step explanation: highest-lowest

it helps to put the terms in order first

95-3=92

The lengths arranged from shortest to longest is [tex]2\frac{7}{8}[/tex],  [tex]3\frac{1}{4}[/tex], [tex]3\frac{1}{2}[/tex] , [tex]3\frac{5}{6}[/tex], [tex]4\frac{2}{3}[/tex] (option H).

The lengths of the woods are expressed as mixed numbers. Mixed numbers are non-integers that consists of a whole number and a proper fraction. For example, [tex]3\frac{1}{4}[/tex] is a mixed number. 3 is the whole number and [tex]\frac{1}{4}[/tex] is the proper fraction.

In order to arrange the lengths of the woods from shortest to the longest, convert the mixed numbers to decimals for easy comparison.

[tex]3\frac{1}{4}[/tex] becomes 3.25

[tex]2\frac{7}{8}[/tex] becomes 2.875

[tex]3\frac{5}{6}[/tex] becomes 3.833

[tex]4\frac{2}{3}[/tex] becomes 4.667

[tex]3\frac{1}{2}[/tex] becomes 3.5

The lengths arranged from shortest to longest is [tex]2\frac{7}{8}[/tex],  [tex]3\frac{1}{4}[/tex], [tex]3\frac{1}{2}[/tex] , [tex]3\frac{5}{6}[/tex], [tex]4\frac{2}{3}[/tex]

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The journal entry for the company is Debit - Raw Materials Inventory - Standard Cost, Credit - Accounts Payable - Actual Cost.

When a company uses standard costs to record its inventory in the general ledger, the journal entry for a purchase of direct materials with a favorable price variance would be as follows

Debit - Raw Materials Inventory - Standard Cost

Credit - Accounts Payable - Actual Cost

The debit entry would record the standard cost of the direct materials purchased, and the credit entry would record the actual cost of the direct materials purchased, which is lower than the standard cost due to the favorable price variance.

It's important to note that this journal entry assumes that the company is using a perpetual inventory system, where the inventory account is updated continuously as purchases and sales occur. If the company is using a periodic inventory system, the journal entry would be different and would involve adjusting the cost of goods sold account at the end of the period.

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Answer:

85.84

Step-by-step explanation:

6x4 is the area of 1 rectangle

There r 3 rectangles

6x4 =24

24x3 =72

That’s the area if all the rectangles

There r 2 triangles

(4x3.46)/2 is the area of 1 triangle

=6.92

6.92x2 =13.84

total surface area is all the areas added up

72+13.84

=85.84

The requried lottery commission should make a single deposit of Kenya Shillings 8.7475 million (rounded to 4 decimal places) to fund Peter's annuity.

To calculate the present value of Peter's annuity,

[tex]PV = PMT * (1 - (1 + r)^{-n}) / r[/tex]

where PV is the present value, PMT is the monthly payment, r is the monthly interest rate, and n is the number of months.

In this case, PMT = 87325, r = 0.107/12 = 0.008917, and n = 21*12 = 252.

Substitute the value in the formula given above:

[tex]PV = 87325 * (1 - (1 + 0.008917)^{-252} / 0.008917[/tex]

PV = 8747531.78

Thus, the lottery commission should make a single deposit of Kenya Shillings 8.7475 million (rounded to 4 decimal places) to fund Peter's annuity.

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Answer:

C) 23/32

Step-by-step explanation:

count how many lines there are in all

32

Then count from beginning to X

23

The distance of X is 23/32

Answer: 76 cubic feet

Step-by-step explanation:

Think about breaking it into two rectangular prisms:

Total volume = Volume of longer prism + volume of shorter prism

Total volume = 8x4x2 + 2x2x3

Total volume = 76 cubic feet

Answer:

The formula for simple interest is:

I = P * r * t

Where:

I = Interest earned

P = Principal amount (initial amount deposited)

r = Annual interest rate (as a decimal)

t = Time in years

Using the given values, we have:

P = $500

r = 0.04 (4% expressed as a decimal)

t = 6 years

I = P * r * t

I = $500 * 0.04 * 6

I = $120

So the interest earned after 6 years is $120. To find the total amount of money in the account, we add the interest to the principal:

Total = P + I

Total = $500 + $120

Total = $620

Therefore, there will be $620 in the account after 6 years.

Step-by-step explanation:

The radius of the circle is approximately 7.9 feet.

The arc length formula (if θ is in degrees) is expressed as:

s = 2πr × (θ/360°)

Where r is radius and θ is the central angle subtended by the arc.

Given that:

Arc length s = 9ft

Central angle subtended by the arc = 65°

Radius r = ?

Plug the given values into the above formula.

s = 2πr × (θ/360°)

9ft = 2 × 3.14 × r × (65/360°)

r = 9ft / 1.133888

r = 7.9 ft

Therefore, the radius is 7.9 ft.

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Answer:

The value of x is 10√2, so A is correct.

Step-by-step explanation:

In an isosceles right triangle, the length of the hypotenuse is √2 times the length of a leg. Since each leg has length 10, the hypotenuse has length 10√2. A is correct.

The exponential function represented by the given graph is:

y = 2(.5^x)

Here we have an exponential decay, the general form of these functions is:

y = A*(b)^x

Where A is the initial value and b is the base, and it is a decay if 0 < b < 1.

Now let's look at the y-intercept, we can see that it is y = 2, then:

2 = A*(b)^0

2 = A

The function is of the form:

y = 2*(b)^x   with 0 < b < 1.

The option that meets these conditions is the first one: y = 2(.5^x)

So that is the correct option.

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Option C is the true statement from the data that has been gathered and shown in the image

The interquartile range exemplifies the "dispersion" or width of a set [1] by determining the difference between the top quartile (the 25% highest) and lower quartile (the 25% lowest). In reference to the provided picture:

- The bus drivers' interquartile range is 10, represented by subtracting their distance's lowest point (10) from the highest (20).

20 - 10 = 20

- Similarly, the teachers' interquartile range is 15, which stems from finding the difference between their lowest distance (15) and highest distance (30).

30 - 15 = 15

Therefore, comparing both ranges reflects that the bus drivers have an interquartile range of distances that is 5 miles smaller than the one for the teachers. Consequently, we opt for option C.

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-1.2, earbud manufacturers can expect the difference in the diameter of earbuds produced from machines X

Given that two machines, X and Y, produce earbuds

Let X represent the diameter of an earbud produced by machine X, and

let Y represent the diameter of an earbud produced by machine Y. X has a mean of 14 mm with a standard deviation of 0.6 mm

Y has a mean of 15.2 mm with a standard deviation of 0.2 mm.

The mean of the difference, D = X - Y, can be calculated as:

mean(D) = mean(X) - mean(Y)

= 14 - 15.2

= -1.2

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The requried area of the larger wallet is 194.4 square centimeters.

Since the two wallets are similar, their corresponding sides are proportional. Let x be the width of the smaller wallet, then the width of the larger wallet is 18/10 times x, or 9/5 times x. Therefore, the dimensions of the larger wallet are 9/5 times the dimensions of the smaller wallet.

The area of the smaller wallet is x times 10 (length times width), or 10x square centimeters. We are given that this area is 60 square centimeters, so:

10x = 60

x = 6

Therefore, the width of the smaller wallet is 6 centimeters. The width of the larger wallet is 9/5 times 6, or 10.8 centimeters. The length of the larger wallet is 18 centimeters.

The area of the larger wallet is 10.8 times 18, or 194.4 square centimeters. Therefore, the area of the larger wallet is 194.4 square centimeters.

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The function f(x) = 3x/(x-9) has a vertical asymptote at x=9, a horizontal asymptote at y=3 as x->±∞, and a horizontal asymptote at y=-3 as x->±∞.

To identify the asymptotes and state the end behavior of the function f(x) = 3x/(x-9), we need to analyze the behavior of the function as x approaches positive and negative infinity.

First, let's look at the denominator of the fraction, which is x-9. This means that the function has a vertical asymptote at x=9, as the denominator approaches zero at that point. This vertical asymptote divides the x-axis into two regions, x<9 and x>9.

Now let's consider the behavior of the function as x approaches positive infinity. In this case, the numerator grows faster than the denominator, and the function approaches a horizontal asymptote at y=3. To see this, we can use the limit definition:

lim (x->∞) f(x) = lim (x->∞) 3x/(x-9) = lim (x->∞) 3(1/(1-9/x)) = 3

Similarly, as x approaches negative infinity, the function also approaches a horizontal asymptote at y=-3. Again, we can use the limit definition to confirm this:

lim (x->-∞) f(x) = lim (x->-∞) 3x/(x-9) = lim (x->-∞) 3(1/(1-9/x)) = -3

Therefore, the function f(x) = 3x/(x-9) has a vertical asymptote at x=9, a horizontal asymptote at y=3 as x->±∞, and a horizontal asymptote at y=-3 as x->±∞.

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Answer:

The probability of dying from heart disease based on the given information is 1/6 or approximately 0.1667. This is because the odds in favor of dying from heart disease are 1 to 5, which means there is 1 chance of dying from heart disease for every 5 chances of not dying from heart disease. To convert odds to probability, we divide the number of chances of the event occurring by the total number of chances. So, the probability of dying from heart disease is 1/(1+5) = 1/6 or approximately 0.1667.

The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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Answer:

To find the population of Brazil in 10 more years, we can use the formula for exponential growth:

A = P(1 + r)^t

where A is the final amount, P is the initial amount, r is the annual growth rate as a decimal, and t is the number of years.

We know that the current population of Brazil is 205,822,685, and the annual growth rate is 0.9%. We want to find the population in 10 more years, so t = 10. Plugging in these values, we get:

A = 205,822,685(1 + 0.009)^10

Simplifying this expression, we get:

A = 205,822,685(1.009)^10

A = 237,832,190.44

Rounding this to the nearest whole number, we get:

A = 237,832,190

Therefore, the population of Brazil in 10 more years will be approximately 237,832,190.

Step-by-step explanation:

The value of 3u - (2v-w) is  -6i + 25j.

We have,

u = -2i+9j, v = 2i- j, and w= -4i.

Now, 3u - (2v - w)

= 3(-2i + 9j) - [ 2(2i - j) - (-4i)]

= -6i + 27j - [4i - 2j + 4i]

= -6i + 27j - 4i - 2j + 4i

= -6i + 25j

Thus, the value of 3u - (2v-w) is  -6i + 25j.

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Answer:

Step-by-step explanation:

1

Therefore, for the equation y=x+5 , the slope is 1 , and the y-intercept is 5 .

Answer:

Let's set up a system of equations to solve for S and L:

S + L = 24 (they sold a total of 24 shirts)

14S + 17L = 378 (the total amount made from selling the shirts was $378)

We can solve for one variable in the first equation and substitute it into the second equation:

S = 24 - L

14(24 - L) + 17L = 378

336 - 14L + 17L = 378

3L = 42

L = 14

So they sold 14 long sleeve shirts. We can substitute this value back into the first equation to solve for S:

S + 14 = 24

S = 10

Therefore, they sold 10 short sleeve shirts and 14 long sleeve shirts.

The evaluated form of the factorial expression 5! / 3! 2! is 10.

Let's evaluate the factorial expression as follows:

The factorial function (!) says to multiply all whole numbers from our chosen number down to 1.

Therefore,

5! / 3! 2!

Hence,

5! = 5 × 4 × 3 × 2 × 1 = 120

3! = 3 × 2 × 1 = 6

2! = 2 × 1 = 2

Hence,

5! / 3! 2! = 120 / 6 × 2

120 / 6 × 2 = 120 / 12 = 10

Therefore,

5! / 3! 2! = 10

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Answer:

28 hours

Step-by-step explanation:

Let's use "B" to represent the number of hours Bianca practiced.

From the problem, we know that Filipe practiced 12 fewer hours than Bianca, which means:

Filipe's practice time = Bianca's practice time - 12

We are also told that Filipe practiced for 16 hours, so we can substitute that into the equation:

16 = B - 12

To solve for B, we can add 12 to both sides:

16 + 12 = B

So, Bianca practiced for a total of 28 hours.

Answer:

The surface area of a rectangular prism is given by the formula:

SA = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the prism, respectively. We are given that the surface area of the prism is 1,060 cm², and that the base has measurements 8 cm and 10 cm.

Substituting these values into the formula, we get:

1060 = 2(8)(10) + 2(8)h + 2(10)h

Simplifying and solving for h, we get:

1060 = 160 + 16h + 20h

1060 = 160 + 36h

900 = 36h

h = 25

Therefore, the height of the prism is 25 cm.

Step-by-step explanation:

Answer:

mean=5

Step-by-step explanation:

To find the mean of a set of data, we add up all the values in the set and then divide by the number of values.

Adding up the values in the set, we get:

3 + 5 + 4 + 4 + 5 + 7 + 7 = 35

There are 7 values in the set, so we divide the sum by 7 to get the mean:

mean = sum of values / number of values

mean = 35 / 7

mean = 5

1. Cost is proportional to Area includes;

-Carpeting that cost $22 for every 3 square yard

-Cost ($) and Area (ft^2) table

-Mulch that cost a set amount to cover a square foot

2.    Cost is not proportional to Area;

- Linear graph

-  Asphalt sealant that is quoted at a set price per square foot, plus a labor fee

3. Not enough information

- A wood deck quoted at a bulk cost for 25 square feet.

The Linear graph is not proportional to the area looking at the coordinates that has been provided. The cost to the yard area does not have a consistent progression. By this, $1,600 should cove 60 yd² instead of 80

The above answer is based on the information provided in the picture as seen below;

Drag each object to show whether cost is proportional to area in the situation represented.

Cost is proportional to Area       Cost is not proportional to Area               Not enough information

a. A wood deck quoted at a bulk cost for 25 square feet.

d. Asphalt sealant That is quoted at a set price per square foot, plus a labor fee.

c. Carpeting that cost $22 for every 3 square yard

d. Mulch that cost a set amount to cover a square foot

e.   Cost ($)                 Area (ft^2)

       500                        400

       750                         600

     1000                        800

f. A cost ($) and area (yd^2) that has coordinates (0, 0), (20, 1200) (80, 1600)

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1/7 square units make up the entire area under the curve from x = 7 to infinity.

To find the area under the curve [tex]y = x^{-2}[/tex] from x = 7 to x = t, we can integrate the function with respect to x:

[tex]\int\limits^7_t x^{(-2)} dx = [-x^{(-1)}] = [-1/t + 1/7][/tex]

To evaluate this expression for t = 10 and t = 100, we substitute these values:

[-1/10 + 1/7] = 0.0428 (rounded to four decimal places)

[-1/100 + 1/7] = 0.1328 (rounded to four decimal places)

To find the total area under the curve from x = 7 to infinity, we can integrate the function with respect to x from 7 to infinity:

[tex]\int\limits^7_t {x} x^{(-2)} dx \\= [-x^{(-1)}] \\= [0 - (-1/7)] \\= 1/7[/tex]

Therefore, the total area under the curve from x = 7 to infinity is 1/7 square units.

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An equation for the height of the rocket after t seconds is h(t) = -16t² + 352t.

The time it takes for the rocket to reach a height of 0 is 22 seconds.

The time it takes to reach the top of its trajectory is 11 seconds.

The maximum height is 1,936 feet.

The time it takes to reach a height of 968 feet is 18.8 or 3.2 seconds.

Based on the information provided, we can logically deduce that the height (h) in feet, of this rocket above the​ ground is related to time by the following quadratic function:

h(t) = -16t² + Vit

When the initial velocity is 352 feet per seconds, the height function becomes;

h(t) = -16t² + 352t

Generally speaking, the height of this rocket would be equal to zero (0) when it hits the ground. Therefore, we would equate the height function to zero (0) as follows:

0 = -16t² + 352t

352t = 16t²

Time, t = 352/16

Time, t = 22 seconds.

Next, we would determine the maximum height of this rocket by taking the first derivate in order to determine the time (t) it takes;

h(t) = -16t² + 352t

h'(t) = -32t + 352

352 = 32t

t = 352/32 = 11 seconds.

h(11) = -16(11)² + 352(11)

h(11) = 1,936 feet.

At a height of 968 feet, the time is given by;

968 = -16t² + 352t

16t² - 352t + 968 = 0

t² - 22t + 60.5 = 0

Time, t = 18.8 or 3.2 seconds.

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Answer:

To find the mean daily passenger count per plane, we need to calculate the average of the passenger counts for the sample.

We can do this by adding up all the passenger counts and dividing by the number of planes in the sample:

(123 + 132 + 158 + 77 + 158 + 123 + 132 + 123 + 158 + 77) / 10

= 1259 / 10

= 125.9

Therefore, the mean daily passenger count per plane is approximately 125.9 passengers.

Step-by-step explanation: