Choose the inequality that represents the following graph.

(16 point will give brainly for correct answer)

The statement "Rational expressions contain exponents" is sometimes true.

Sometimes true - ExplanationRational expressions are those expressions which can be written in the form of fractions with polynomials in the numerator and denominator. Exponents can appear in the numerator, denominator, or both of rational expressions, depending on the form of the expression. Therefore, it is sometimes true that rational expressions contain exponents, and sometimes they do not.For example, the rational expression `(x^2 + 2)/(x + 1)` contains an exponent of 2 in the numerator. On the other hand, the rational expression `(x + 1)/(x^2 - 4)` does not contain any exponents. Hence, the given statement is sometimes true.

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Answer:

A

Step-by-step explanation:

Answer:

D. 105 cm^2

Step-by-step explanation:

Base: 5 * 5 = 25

Sides/Triangles: 8 * 5 * 0.5 = 20

20 + 20 + 20 + 20 + 25 = 105

Answer:

3/4 cups of water per cup of milk

Step-by-step explanation:

1/3+1/3+1/3=1 cup

1/4×4=3/4 cup

Answer:

-2/3

Step-by-step explanation:

-3 - 5 = -8

2 - (-10) = 12

-8/12 = -2/3

the answer is degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001 is 7.

To determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001, given f(x) = sin(x), we need to approximate f(0.5).The formula to calculate the degree of Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than the given amount is:$$R_n(x) = \frac{f^{n+1}(c)}{(n+1)!}(x-a)^{n+1}$$where c is a value between a and x, and Rn(x) is the remainder function.Then, to find the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001, we use the inequality:$$|R_n(x)| \leq \frac{M}{(n+1)!}|x-a|^{n+1}$$where M is an upper bound for the $(n+1)^{th}$ derivative of f on an interval containing a and x.To approximate f(0.5), we use the formula for the Maclaurin series expansion of sin(x):$$\sin(x) = \sum_{n=0}^{\infty}(-1)^n \frac{x^{2n+1}}{(2n+1)!}$$Thus, for f(x) = sin(x) and a = 0, we have:$$f(x) = \sin(x)$$$$f(0) = \sin(0) = 0$$$$f'(x) = \cos(x)$$$$f'(0) = \cos(0) = 1$$$$f''(x) = -\sin(x)$$$$f''(0) = -\sin(0) = 0$$$$f'''(x) = -\cos(x)$$$$f'''(0) = -\cos(0) = -1$$$$f^{(4)}(x) = \sin(x)$$$$f^{(4)}(0) = \sin(0) = 0$$$$f^{(5)}(x) = \cos(x)$$$$f^{(5)}(0) = \cos(0) = 1$$Thus, M = 1 for all values of x, and we have:$$|R_n(x)| \leq \frac{1}{(n+1)!}|x|^n$$To make this less than 0.001 when x = 0.5, we need to find n such that:$$\frac{1}{(n+1)!}0.5^{n+1} \leq 0.001$$Dividing both sides by 0.001 gives:$$\frac{1}{0.001(n+1)!}0.5^{n+1} \leq 1$$Taking the natural logarithm of both sides gives:$$\ln\left(\frac{0.5^{n+1}}{0.001(n+1)!}\right) \leq 0$$Using a calculator, we can find that the smallest value of n that satisfies this inequality is n = 7. Therefore, the degree of the Maclaurin polynomial required for the error in the approximation of sin(0.5) to be less than 0.001 is 7.

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The degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001 is 3.

Given the function f(x) = sin(x) and we need to determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001.

We need to approximate f(0.5).

Maclaurin Polynomial: The Maclaurin polynomial of order n for a given function f(x) is the nth-degree Taylor polynomial for f(x) at x = 0. It is given by the formula:

\(Pn(x) = f(0) + f'(0)x + f''(0)x²/2! + ... + fⁿ⁽ᶰ⁾(0)xⁿ/ⁿ!\)

Where fⁿ⁽ᶰ⁾(0) denotes the nth derivative of f(x) evaluated at x = 0.

To determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001, we use the error formula.

Error formula:

\(|f(x) - Pn(x)| <= M(x-a)^(n+1)/(n+1)!\)

where M = max|fⁿ⁽ᶰ⁾(x)| over the interval containing x and a. For f(x) = sin(x)

and a = 0, we have f(0) = sin(0) = 0, f'(x) = cos(x), f''(x) = -sin(x), f'''(x) = -cos(x), f⁽⁴⁾(x) = sin(x), f⁽⁵⁾(x) = cos(x), f⁽⁶⁾(x) = -sin(x), ...

Thus, \(|f⁽ⁿ⁾(x)| <= 1\) for all n and x.

Therefore, \(M = 1.|x-a| = |0.5-0| = 0.5\)

Thus,\(|f(x) - Pn(x)| <= M(x-a)^(n+1)/(n+1)!\)

=> \(|sin(x) - Pn(x)| <= 0.5^(n+1)/(n+1)!\)

We need \(|sin(0.5) - Pn(0.5)| <= 0.001\).

So, \(0.5^(n+1)/(n+1)! <= 0.001\)

n = 3 (Minimum value of n to satisfy the condition).

Using the Maclaurin polynomial of degree 3, we have

\(P₃(x) = sin(0) + cos(0)x - sin(0)x²/2! - cos(0)x³/3! = x - x³/3\)

Therefore, the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001 is 3.

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Answer:

Step-by-step explanation:

its 56

Step-by-step explanation:

A VERY tall cell tower !

Set up as a ratio

6 ft is to 16 inches    as  height is to 124(12) inches

6/16 = height/(124*12)

height = 6/16 * 124*12 = 558 ft tall

The minimum value of z is -201, which occurs at the vertex (-25, 15).

The shaded area represents the feasible region.

Now, we need to find the vertices of this feasible region. We can do this by solving each pair of intersecting lines:

5x + 2y = 35 and x <= 14:

Solving for y, we get y = (35 - 5x)/2. Since x <= 14, the maximum value of x occurs at x=14, which gives us y=3.5. So the first vertex is (14, 3.5).

x + 3y = 20 and y <= 15:

Solving for x, we get x = 20 - 3y. Since y <= 15, the maximum value of y occurs at y=15, which gives us x=-25. So the second vertex is (-25, 15).

5x + 2y = 35 and x + 3y = 20:

Solving for x and y, we get x=5 and y=5. So the third vertex is (5, 5).

x = 0 and y <= 15:

The fourth vertex is (0, 15).

Now, we evaluate the objective function z=2x+9y at each vertex to find the minimum value.

z(14, 3.5) = 37

z(-25, 15) = -201

z(5, 5) = 29

z(0, 15) = 135

Therefore, the minimum value of z is -201, which occurs at the vertex (-25, 15).

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Answer:

C

Step-by-step explanation:

x = (-3y+5)/2

If I were required to survey Fresno City College students regarding their employment status, I would use a stratified random sampling technique.

Stratified random sampling involves dividing the population into subgroups, or strata, based on certain characteristics that are relevant to the survey. In this case, the relevant characteristic is employment status. The population consists of all Fresno City College students, and the two strata are employed and unemployed students.

Once the population has been divided into strata, a random sample is taken from each stratum. The sample size for each stratum is proportional to the size of the stratum in the population. For example, if 60% of Fresno City College students are employed, then 60% of the sample should consist of employed students.

Using a stratified random sampling technique ensures that the sample is representative of the population and that each subgroup is represented in the sample. It also reduces sampling error and increases the precision of the estimates.

Answer:

45 mi/h

Step-by-step explanation:

Here, we can find the total distance divided by the total time. To find the total time, we can set up 2 equations:

\(d = vt\) (which is the formula that connects velocity, time and displacement).

Here, we have to split the trip into 2 displacements because the car changes speed. So, we have 40 mi = 40 (mi/h) * t1. And t2 = 1 hour. For the second distance: 20 mi = 60 (mi/h) * t2. And t2 = 1/3 hrs.

since total time = t1+t2, we get the total time is 4/3 hours. Then, we get:

80 = \(v_{avg}\)*(4/3)  where \(v_{avg}\) is the average velocity of the trip. Finally, we get \(v_{avg}\) = 45 mi/h

Answer:

just guess it there a 50% you get it right \(￣︶￣*\))

Step-by-step explanation:

A process that behaves the same way as a procedure so that similar results are produced is called a simulation.

In this question,

Simulations are used for finding probabilities for compound events. The probability model of a random phenomenon consists of a sample space of possible outcomes, associated events, random variables, and a probability measure that specifies probabilities of events and determines distributions of random variables.

Procedure is a method of analyzing or representing statistical data; a procedure for calculating a statistic. The goal of statistical analysis is to identify trends.

Hence we can conclude that a process that behaves the same way as a procedure so that similar results are produced is called a simulation.

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Answer:

33

Step-by-step explanation:

Refer to attachment.

Hope it helps :)

The expression equivalent to -7(y - 2) is -7y + 14

Given the expression; -7(y - 2)

We expand the expression by multiplying each element inside the parentheses the element out i.e -7

-7(y - 2)

[ -7 × y and -7 × -2 ]

-7y + 14

Therefore, the expression equivalent to -7(y - 2) is -7y + 14.

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Answer:

(4,-9) or x=4, y=-9

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Theres also a graph attacthed of the equations intersecting if that helps you. :)

a) The function y = f(x) that gives the curve bounding the top of the ellipse is y = √(9 - (9/16)x^2). To find the curve bounding the top of the ellipse defined by the equation x^2/16 + y^2/9 = 1, we need to solve for y.

Rearranging the equation, we have y^2/9 = 1 - x^2/16, and multiplying both sides by 9, we get y^2 = 9 - (9/16)x^2. Taking the square root, we obtain y = ±√(9 - (9/16)x^2). Since we are looking for the curve bounding the top of the ellipse, we take the positive square root: y = √(9 - (9/16)x^2). Therefore,

To find the curve bounding the top of the ellipse, we need to solve for y by rearranging the equation. By isolating y, we can determine the upper part of the ellipse.

b) Using ∆x = 1 and considering midpoints, we can approximate the area of the part of the ellipse lying in the first quadrant. We divide the x-axis into intervals of width ∆x and calculate the corresponding y-values using the function y = f(x). Then, we approximate the areas of the rectangles formed by the midpoints and sum them up. Finally, we multiply this sum by ∆x to approximate the area.

To approximate the area of the part of the ellipse lying in the first quadrant, we divide the x-axis into intervals of width ∆x. Then, we calculate the corresponding y-values using the function y = f(x). By considering the midpoints of each interval, we form rectangles. The sum of the areas of these rectangles approximates the total area of the part of the ellipse in the first quadrant. Finally, multiplying this sum by ∆x gives an approximation of the area.

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The pressure change is an illustration of an arithmetic progression.

The atmospheric pressure at 50000 feet is 11.3 kPa

The given parameters are:

\(\mathbf{a = 101.3}\) --- the first term

\(\mathbf{d = -1.8 per 1000}\) -- common difference

At 50000 feet, the number of increment in altitude is

\(\mathbf{n = \frac{50000}{1000}}\)

\(\mathbf{n = 50}\)

So, the atmospheric pressure at 50000 feet is:

\(\mathbf{T_{50} = 101.3 - 1.8 \times 50}\)

\(\mathbf{T_{50} = 101.3 - 90}\)

\(\mathbf{T_{50} = 11.3}\)

Hence, the atmospheric pressure at 50000 feet is 11.3 kPa

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Answer:

ratio= 2:7

then..

2x+7x = RS 540

or,9x=rs540

or,x= rs 540/9

or, x=60

then

2x= 2*60= 120

or, 7x= 7*60=420

To find the length of the model, we need to use the given scale, which states that 1 inch on the model represents 1.5 feet in reality.

The length of the actual object is given as 18 feet. Let's calculate the length of the model:

Length of model = Length of actual object / Scale factor

Length of model = 18 feet / 1.5 feet/inch

Length of model = 12 inches

Therefore, the length of the model is 12 inches. Therefore, the correct option is (a) 12 inches.

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Answer:

Step-by-step explanation:

w/18=7/3

w=126/3

w=42

Answer:

Last one

A student‘s test score is likely to increase about 20 points for each hour of studying

Step-by-step explanation:

We can see that the indepedent value is hours spent studying and dependent value is test scores.

As the hours of studying get greater, so does the test scores. So it has to be either the second to last or last one.

If you pay attention to the numbers, you’d see that the last one would be the answer.

Answer:

last one

Step-by-step explanation:

each hour spent studying increases the by around 20 points. the slope of the line is 20.

btw there's nothing on the intercept in the question

The lowest term of the given expression after simplifying the fractions are 3(x - 2/3)(x - 3)/(x - 5)(x + 3) - 2x(x - 1)/(2x + 1)

1. To reduce the expression x^2 - 9x/28x + 15 to lowest terms, we first factor the numerator and denominator:

x^2 - 9x + 15 = (x - 3)(x - 5)
28x + 15 = 7(4x + 3)

So the expression becomes (x - 3)(x - 5)/7(4x + 3). We cannot simplify this any further, so the answer is (a) x - 3/x + 5.

2. To simplify a^2 - 25/a^2 - 3a - 15, we first factor the numerator and denominator:

a^2 - 25 = (a + 5)(a - 5)
a^2 - 3a - 15 = (a - 5)(a + 3)

So the expression becomes (a + 5)(a - 5)/(a - 5)(a + 3). We can cancel out the (a - 5) term, so the answer is (c) a(a - 5)/3.

3. To simplify 3x^2 - 4x + 6/x^2 - 2x - 15 - 2x^2/2x + 1, we first combine the numerator of the first fraction:

3x^2 - 4x + 6 = 3(x^2 - (4/3)x + 2)

Then we factor the denominator of the first fraction:

x^2 - 2x - 15 = (x - 5)(x + 3)

We can also factor the numerator of the second fraction:

-2x^2 = -2x(x - 1)

And finally, we factor the denominator of the second fraction:

2x + 1 = (2x + 1)

Putting it all together, we have:

3(x - 2/3)(x - 3)/(x - 5)(x + 3) - 2x(x - 1)/(2x + 1)

We cannot simplify this any further, so this is the answer.

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Answer:

$200 + $10x = $375

Well we're going to round up to $380, cause their making money in increments of 10 rather than 5.

And based off that I'd subtract $375 from $200 (375 -200 = 180)

Then take that answer and divide it by 10. (180 / 10)

Jesse will need to wash at least 18 more cars in order to afford the bicycle

Answer:

3t2 and -2t2. and 6 and 12

The equivalent price of a case of olive oil in dollars is \($212.50.\)the equivalent price of the art in yen is\(¥16,762.50\). This can be calculated as follows:\(¥16,762.50 = $155 x 107.5\)

Part A: The exchange rate is \($1 = €0.85.\) You are in Italy and want to purchase and ship home two cases of olive oil. Each case cost €250. What is the equivalent price of a case of olive oil in dollars? Round to the nearest cent. Show Work.To find the equivalent price of a case of olive oil in dollars, we need to convert the euro amount to dollars using the given exchange rate. The formula for this conversion is: Dollar amount = Euro amount x Exchange rate Therefore, the equivalent price of a case of olive oil in dollars is \($212.50.\) . This can be calculated as follows:\($212.50 = €250 x 0.85\)Part B: The the equivalent price of the art in yen is\(¥16,762.50\). This can be calculated as follows:\(¥16,762.50 = $155 x 107.5\) rate is \($1 = ¥107.5\). Your good friend is visiting from Japan and would like to take a piece of American art home with them. The art will cost\($155.\) What is the equivalent price in yen? Show work.To find the equivalent price of the art in yen, we need to convert the dollar amount to yen using the given exchange rate. The formula for this conversion is: Yen amount = Dollar amount x Exchange rate Therefore, the equivalent price of the art in yen is\(¥16,762.50\). This can be calculated as follows:\(¥16,762.50 = $155 x 107.5\)

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To calculate the mark-up percentage, we need to find the difference between the selling price and the buying price, and then express that difference as a percentage of the buying price.

Buying price: $3,200

Selling price: $8,950

Mark-up = Selling price - Buying price = $8,950 - $3,200 = $5,750

Now, we'll calculate the mark-up percentage:

Mark-up percentage = (Mark-up / Buying price) * 100

Mark-up percentage = ($5,750 / $3,200) * 100 = 179.6875

Rounding to the nearest tenth of a percent, the mark-up percentage is approximately 179.7%.

Therefore, the mark-up percentage for the used car is 179.7%.

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The time needed to pay off the loan with payments of $11,000.00 is 84 months, the total amount of the payments is $924,000.00 and the amount of interest saved is $850,000.

A. Amount needed to pay off the loan after 4 years:

Given loan = $50,000.00Rate of interest = 5%Time period = 14 yearsPayments made = 4 yearsUsing compound interest formula: \(A = P (1 + r/n)^(n*t)A = AmountP = Principalr = Rate of interestn = Compounded annuallyt = Time periodA = 50,000(1 + 0.05/1)^(1*4) = $62,889.46\)

The amount needed to pay off this loan after 4 years is $62,889.46. B. Calculation of total amount of payments and time needed to pay off the loan:

The given payment necessary to amortize a 5.8% loan of $74,000 compounded annually, with 9 annual payments is $10,785.14. The borrower made larger payments of $11,000.00.Now, we need to calculate the time needed to pay off the loan, the total amount of payments, and the amount of interest saved.

Using the formula for calculating the time period:

P = A/[(1-(1+r)^-n)]/r P = PaymentA = Loanr = Interest rate per payment periodn = Total number of payment periodsP = $11,000.00A = $74,000r = 5.8%/12n = 9 x 12 = 108 months

Using a financial calculator, we get the result n = 84 months.

Total amount of payments:

Total amount = 11,000 × 84 = $924,000.00

Amount of interest saved:Total amount of payments – Total loan amount = 924,000 - 74,000 = $850,000

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Answer:

<C = 54 degrees

b = 123.6

a = 72.6

Step-by-step explanation:

<C = 180 - 90 - 36 = 54 degrees

b = 100/sin54 = 123.6

a = sqrt (123.6^2 - 100^2) = 72.6

Answer:

1)

\(v = \frac{4}{3} \pi( {1080}^{3} ) \)

\(v = (1.259712 \times {1000}^{3} )\pi\)

2)

\(v = \frac{4}{3} \pi( {1640}^{3} )\)

\(v = (5.881258667 \times {1000}^{3} )\pi\)

3) (answer is #4)

\( \frac{ \frac{4}{3} \pi( {1640}^{3} )}{ \frac{4}{3}\pi( {1080}^{3} ) } = 3.5\)

Answer:

Step-by-step explanation:

Opposite / adjacent = tangent

Answer:

we have relationship between base and perpendicular is given by tan angle

tan29= perpendicular/base

tan29=19/x

doing crisscrossed multiplication

x=19/tan29=34.3