given A={2,3,7,9} B={0,1,2,4,7,8} which set represent A n B

Step-by-step explanation:

Hence, the five fractions equivalent to 3/7 are 6/14,9/21,12/28,15/35 and 18/42.

Hello!

\(\large\boxed{x^{2} + 3x + 15}\)

To solve, we can use polynomial long division:

Set up the process using (x³ - 2x² - 75) as the dividend. Put in a place holder of (0x) to ensure that a proper answer is reached.

Use (x - 5) as the divisor.

Steps for dividing:

1. Find how many times that the first term in the divisor will go into the first term of the dividend. In the first step, (x - 5) goes into (x³ - 2x²) x² times. Put this at the top for our quotient .

2. Multiply both of the terms in the divisor by x². Put those expressions underneath the dividend and subtract.

3. Bring down the next number in the dividend and find how many times (x - 5) goes into 3x² + 0x. We get 3x times, so repeat the same steps above.

4. Continue until you finish with the last two numbers. If the remainder is 0, your solution is simply the quotient at the top. (In this instance).

Answer:

Yes

Step-by-step explanation:

$24 divided by 6 equals 4

$52 divided by 13 equals 4

July Aug. Sept. Oct. Nov. Dec. Receipts $500 $550 $700 $850 $795 $715 Expenses $490 $550 $600 $795 $ $650 Net Cash Flow $ $0 $ $55 $45 $ Cumulative Balance $10 $ $110 $ $210 $275 the missing values are 750, 10, 100, 65, 10, 165

This is further explained below.

Generally, The term "cumulative balance" refers to the total amount of money left over at the end of a fiscal year after all surplus amounts have been subtracted from deficit amounts. If there is a negative amount in the Cumulative Balance at the conclusion of a fiscal year, then that balance will be carried forward and used as the opening balance for the next fiscal year.

The term "cumulative account" refers to the total amount of an employee's account under a defined contribution plan (for an unaggregated plan) or the total amount of an employee's account under all defined contribution plans included in an Aggregation Group (for aggregated plans), both of which are determined as of the most recent plan valuation date within the most recent 12-month period that ends on the...

In conclusion, for the following data  July Aug. Sept. Oct. Nov. Dec. Receipts $500 $550 $700 $850 $795 $715 Expenses $490 $550 $600 $795 $ $650 Net Cash Flow $ $0 $ $55 $45 $ Cumulative Balance $10 $ $110 $ $210 $275 the missing values are 750, 10, 100, 65, 10, 165

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The inverse function of f(x) is x² + 1.

What is inverse function of a function?

The inverse function of a function is a function that is reverse of the function. It is denotes by f⁻¹(x).

The equation of given function f(x) = √(x-1) for all x ≥ 1.

Assume that f(x) = y.

y = √(x-1)

Take square on both sides:

y² = x - 1

Add 1 on both sides:

y² + 1 = x

Replace x by y and y by x:

x² + 1 = y

Thus the inverse function of f(x) is f⁻¹(x) = x² + 1.

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Answer:

yes

Step-by-step explanation:

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Answer:

It is the last one.

Step-by-step explanation:

first one:4 and 10 is not prime, but still equal 80

So, turn 4 and 10 into prime numbers

1. 10=2x5

2.4=2x2

3. 80's prime factorzation: 2x2x2x2x5

Based on the information given, the price of the zero coupon bond is $692.04.

To calculate the price of a zero coupon bond, we need to use the following formula:

\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)

Where:

Also, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.

Plugging in the values into the formula, we get:

\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)

\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)

\(\sf P = \dfrac{1000}{1.4450}\)

\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)

Therefore, the price of the zero coupon bond is $692.04.

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Answer:

(a+b)(a+b)

Step-by-step explanation:

The £1 as a foreign exchange rate is cheaper than 1 CHF by 35%.

The foreign exchange rate refers to the unit of conversion of one currency to another.

Exchange rate = £1=1.55 CHF

Ratio of 1.55 CHF to £1 = 1 : 0.65

Cheapness of £1 = 0.35 (1 - 0.65)

Thus, £1 as a foreign exchange rate is cheaper than 1 CHF by 35%.

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Answer:

It's the first one

Its A

PLEASE MARK ME AS THE BRAINLIEST!!!!!!!!!!!!!!!!!!!!

Answer:

Graphs W and Z

Step-by-step explanation:

Graph of a radical function with even index appears only on one side of the x-axis, while graph of the radical function with odd index appears on both the sides of the x-axis.

Index of the given graphs,

Graph W → Odd index

Graph X → Even index

Graph Y → Even index

Graph W → Odd index

Therefore, graphs W and Z show the radical functions with odd index.

Answer:

The answer is W and Z,  I don't know why people rated it badly.  I just took the practice and got it correct.

Step-by-step explanation:

Answer:

second one

Step-by-step explanation:

The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer:

1.1 percent of her monthly income is spent on

Step-by-step explanation:

(a) W(3.5) ≈ 2.5 + 0.483(0.5) ≈ 2.7625 cubic feet.

(b) W''(8) ≈ -0.0397 - (-0.6) ≈ 0.5603 cubic feet per minute per minute.

(c) We can solve for t numerically using a graphing calculator or other numerical method. One possible solution is t ≈ 5

What is the quadratic equation?

The quadratic equation is a formula used to solve quadratic equations of the form ax² + bx + c = 0, where a, b, and c are constants and x is the variable.

(a) To find the locally linear approximation of W at t=3, we first need to find W(3) and W'(3).

We know that at time t=3, the volume of water in the tub is 2.5 cubic feet. Therefore, W(3) = 2.5.

To find W'(3), we need to use the fact that the rate of change of the volume of water in the tub is equal to the rate of water flowing in minus the rate of water leaking out.

So, W'(t) = F(t) - L(t).

At time t=3, we have F(3) = arctan(π/2 - 3/10) ≈ 1.383 cubic feet per minute, and L(3) = 0.03(20*3 - 3² - 75) = 0.9 cubic feet per minute. Therefore, W'(3) = 1.383 - 0.9 = 0.483 cubic feet per minute.

The locally linear approximation of W at t=3 is given by:

W(t) ≈ W(3) + W'(3)(t-3)

W(t) ≈ 2.5 + 0.483(t-3)

To approximate the volume of water in the tub at time t=3.5, we plug in t=3.5 into the above equation:

W(3.5) ≈ 2.5 + 0.483(0.5) ≈ 2.7625 cubic feet.

(b) To find W''(8), we first need to find an expression for W'(t). We know that:

W'(t) = F(t) - L(t)

Taking the derivative with respect to t:

W''(t) = F'(t) - L'(t)

We know that F(t) = arctan(π/2 - t/10), so F'(t) = -1/(10π/4 - t²/100 + t/5²) * (1/5), where we used the chain rule and the derivative of arctan(x) = 1/(1+x²). Evaluating this expression at t=8, we get F'(8) ≈ -0.0397 cubic feet per minute.

We also know that L(t) = 0.03(20t - t²- 75), so L'(t) = 0.03(20 - 2t). Evaluating this expression at t=8, we get L'(8) = -0.6 cubic feet per minute.

Therefore, W''(8) ≈ -0.0397 - (-0.6) ≈ 0.5603 cubic feet per minute per minute.

Interpreting the meaning of W''(8), we see that it represents the rate of change of the rate of change of the volume of water in the tub at time t=8. Specifically, W''(8) tells us how quickly the volume of water in the tub is changing with respect to time at time t=8 is changing.

(c) Yes, there is a time t for which the volume of water in the tub is neither increasing nor decreasing. This occurs when the rate of water flowing into the tub is equal to the rate of water leaking out. That is, we need to find a value of t such that F(t) = L(t).

We can solve for t numerically using a graphing calculator or other numerical method. One possible solution is t ≈ 5

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The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

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Answer:

3/10

Step-by-step explanation:

Remark

The denominator of the probability is the entire amount present. Just add

Denominator

Blue/Large      17

Red/Large        8

Small                3

Red Small      12

Total               40

Red / Small

P(red/small) = 12 / 40

P(red/Small)  = 3 / 10

Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

Answer: A

Step-by-step explanation: is the proportional relationship!

Answer:

A.

Step-by-step explanation:

The volume of the box is 99 unit cubes.

A cube is a three-dimensional object that has six faces, twelve edges and eight vertices. The length, width and height of a cube usually has equal dimensions. The volume of the box is a function of the dimension of the cubes in it and the number of layers.

Volume of a box = number of layers x amount of units

9 x 11 - 99 unit cubes

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To find the circle with center (3, -4) and radius 64, we again replace 64 with 64² in the equation, and get:

(x - 3)² + (y + 4)² = 4096

Several everyday items, such as turning ceiling fans, turning car wheels, spinning windmill blades, and turning gas turbine gears, exhibit circular motion. Another is an earth-orbiting satellite that was built by people.

The equation (x + 3)² + (y - 4)² = 64 represents a circle with center (-3, 4) and radius 8.

To find the circle with center (-3, 4) and radius 64, we replace 64 with 64² in the equation and get:

(x + 3)² + (y - 4)² = 4096

This circle has center (-3, 4) and radius 64.

To find the circle with center (3, -4) and radius 8, we replace (x + 3) with (x - 3) and (y - 4) with (y + 4) in the equation, and get:

(x - 3)² + (y + 4)² = 64

This circle has center (3, -4) and radius 8.

To find the circle with center (3, -4) and radius 64, we again replace 64 with 64² in the equation, and get:

(x - 3)² + (y + 4)² = 4096

This circle has center (3, -4) and radius 64.

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Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D

In the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.

Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.

In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.

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The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).

To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.

Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:

slope = (change in number of automobiles) / (change in number of years)

slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year

Now we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).

y - 1890 = 106(x - 2015)

To find the y-intercept, we can set x = 0:

y - 1890 = 106(0 - 2015)

y - 1890 = -213,290

y = 211,400

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1. The possible amounts of time for which the chemistry club could rent the meeting room are 1 to 5 hours.

2. Solving the inequality for t is 39 + 6.80t ≤ 73, where the maximum time is 5 hours.

Inequality is a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted using the following symbols:

The total budget of the chemistry club for renting a meeting room = $73.60

The reservation fee charged by the college = $39

The additional fee (variable cost) per hour = $6.80

The number of hours the club can rent the meeting room = t

The inequality representing the situation is:

39 + 6.80t ≤ 73.

39 + 6.80t ≤ 73

6.8t ≤ 73 - 39

6.8t ≤ 34

t ≤ 5 (34/6.8)

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Answer:

1. I'm not sure of this one so look up "How to write an expression using only addition with numbers" or something like that. 2. after turn one she will have -2 points  3. after turn 2 she will have 6 points 4. after turn 3 she will have 5 points. She will not earn bonus points after turn three because she didn't reach over ten points.

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation: