3a + 7 + 2(3 + a)
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The z-score of an appliance that failed after 64 months is 2.

To find the z-score:

The given parameters are:

The z-score is then computed as follows:

We have the following for an appliance that stopped working after 64 months:

So, the equation becomes:

Compare and contrast the differences:

Calculate the quotient:

Therefore, the z-score of an appliance that failed after 64 months is 2.

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Answer:

Brand B

Step-by-step explanation:

Brand a will cost you more

Answer: If a lawyer charges $120 an hour (or any fraction of an hour), how much is a bill for 3 hours and 20 minutes? What is the equation for this problem? answer choices l (x) = 120x l (x) = 120 [x-1] l (x) = 120 [x] l (x) = 120 [x+1]

Thank me later.

The answer is x = 28.

How many bottles are needed to make fourteen gallons of sauce, we can set up a proportion based on the given information.

Let's denote the number of bottles needed as "x". We know that four 16-ounce bottles are required to make two gallons of sauce. This can be expressed as:

4 bottles / 2 gallons = x bottles / 14 gallons

To solve for "x", we can cross-multiply and solve the equation:

4 * 14 = 2 * x

56 = 2x

Dividing both sides by 2:

x = 56 / 2

x = 28

Therefore, 28 bottles of catsup are needed to make fourteen gallons of sauce.

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The expressioon correctly represents "six more than the product of five and a number, decreased by one" is 6 + 5 (n minus 1), the correct option is C.

An expression is a sentence with a minimum of two numbers and at least one math operation.

This math operation can be addition, subtraction, multiplication, and division.

Given

The expression correctly represents "six more than the product of five and a number, decreased by one".

The expressioon correctly represents "six more than the product of five and a number, decreased by one" is;

= 6 + 5 (n minus 1)

Hence, the expressioon correctly represents "six more than the product of five and a number, decreased by one" is 6 + 5 (n minus 1).

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Yes, irrational numbers such as π are included in the domain of the function f(x) = 7.

The domain of a function is the set of all possible input values (x) for which the function is defined. In the case of the function f(x) = 7, the output value (y) is always equal to 7, regardless of the input value.

Since every real number, including irrational numbers like π, can be an input value for f(x) = 7, the domain of this function is the set of all real numbers, which includes both rational and irrational numbers. Therefore, π is included in the domain of the function f(x) = 7.

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Answer:

y = -2x + 9

Step-by-step explanation:

The equation of the new line is the same as that of this given line, EXCEPT that the constant will be different.

Start with y = mx + b; substitute 1 for y, 4 for x and -2 for m:

1 = -2(4) + b

Then b = 9, and y = -2x + 9

a) The derivative f'(x) is 12x².

b) The amount of f'(1) is 12.

c) The equation of the tangent line is 12x - 7.

a) To find the derivative of f(x), we can use the power rule for each term. The power rule states that for any function f(x) = xⁿ, the derivative f'(x) = nx^(n-1). So for f(x) = 4x³ + 1, Thus, the derivative f'(x) = 12x².

b) To compute the derivative of f at x=1, we simply plug in x=1 into the derivative equation we found in part a. So f'(1) = 12(1)² = 12.

c) To determine the equation of the tangent line to the curve y=f(x) at the point (1,5), we use the point-slope form of a line, which is y-y1 = m(x-x1), where m is the slope of the line and (x1,y1) is the point the line passes through. The slope of the tangent line is the derivative of f at x=1, which we found in part b to be 12. So the equation of the tangent line is y-5 = 12(x-1), or y = 12x - 7.

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In this problem, we are given a partial fraction decomposition of the rational function 2x/(x-1)(x+4)(x^2+1). We need to find the value of the coefficient A in the partial fraction expansion. The options provided are A. 1/8, B. 2/7, and C. 1/5.

To find the value of the coefficient A, we can consider the denominator factors (x-1)(x+4)(x^2+1) and equate the given partial fraction expression to a common denominator. By multiplying both sides of the equation by the denominator, we obtain 2x = A(x+4)(x^2+1) + B(x-1)(x^2+1) + Cx(x-1)(x+4) + D(x-1)(x+4).

Next, we can simplify the right-hand side of the equation by expanding the terms and combining like terms. This will result in a polynomial expression in terms of x. By comparing the coefficients of the same powers of x on both sides of the equation, we can set up a system of equations to solve for the coefficients A, B, C, and D.

Since we are specifically interested in the value of coefficient A, we can focus on the term containing x. In the given options, A. 1/8, B. 2/7, and C. 1/5, we can substitute each value for A and see if it satisfies the equation. Plugging in A = 1/8 and evaluating both sides of the equation, we can determine if it holds true. If the equation is satisfied, then A = 1/8 is the correct value for the coefficient A.

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The function that represents the number of calories Leona burns while boxing is denoted as c(t).

To determine the function c(t) that represents the calories Leona burns while boxing, we need more information or the specific form of the function. The number of calories burned during boxing can depend on various factors such as time spent boxing, intensity, body weight, and other individual characteristics.

Commonly used formulas to estimate calories burned during physical activity involve variables such as duration and intensity. For example, one widely used formula is the Harris-Benedict equation:

c(t) = (MET * weight * t) / 24

Where:

MET represents the metabolic equivalent of the activity (specific to boxing)

weight represents Leona's body weight

t represents the duration of boxing activity in hours

However, without specific information about Leona's weight, the MET value, or any other relevant details, it is not possible to provide a specific calculation for c(t) in this format.

The function c(t) represents the number of calories Leona burns while boxing. The specific form of the function and the calculations involved depend on factors such as Leona's weight, the duration of boxing, and other variables. To determine the exact function and calculate the calories burned, specific information about Leona's circumstances and the chosen equation or method of estimation would be needed.

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Answer:

No, it is not legal to drive at 80 mph, even if everyone else is driving at that speed, if the posted speed limit is 65 mph. The posted speed limit is the maximum legal speed that drivers are allowed to travel on a particular road, and it is a law that must be followed.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

The mean of a data set refers to the average. To find the average, calculate the sum of the data and divide by the number of values.

\(\frac{20+50+80+50}{4}=\frac{200}{4}=50\)

Answer:

1.07*8

Step-by-step explanation:

8.56

Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming QF is the full employment equilibrium then in the Figure, if the level of spending is equal to AD1, the AD shortfall would be greater than XZ. The answer is B.

The respective figure as referred in the question is as attached.

Full employment equilibrium refers to the equilibrium where all resources in the economy are fully utilized (employed). Full employment is a situation in which all available labor resources are being used in the most economically efficient way, so there is no cyclical or deficient-demand unemployment.

When the natural rate of unemployment is equal to the unemployment rate, this means the cyclical rate of unemployment is zero. So, when this relationship happens, the economy is considered to be at full employment.

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Among the given answer choices, the closest option is "5.6", but the correct answer based on the calculation of population growth rate is approximately 5.054%.

To calculate the population growth rate, we need to consider the net change in population relative to the initial population.

The net change in population is calculated by subtracting the number of emigrants and deaths from the total number of immigrants and births:

Net Change = Immigrants + Births - Emigrants - Deaths

Net Change = 44600 + 35000 - 12567 - 15890

Net Change = 66143 - 28457

Net Change = 37686

Next, we can calculate the population growth rate using the formula:

Rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

Population Growth Rate = (Net Change / Initial Population) * 100

Population Growth Rate = (37686 / 744785) * 100

Population Growth Rate ≈ 5.054%

The population growth rate of this country is approximately 5.054%.

Among the given answer choices, the closest option is "5.6", but the correct answer based on the calculation is approximately 5.054%.

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Answer:

what does "manin" mean I can help i just need to know what that word means

i get ur question now! :)

so in 72 minutes 9 kids can make 8 snowman's

Hope this helps u and A LOT! :)

Step-by-step explanation:

Answer:

The answer is 6.

Answer:

TV or VT

Step-by-step explanation:

A line is defined by the two points lying on an infinitely long straight paths.

From the picture attached,

There are two endless paths 'l' and 'm' which contain (R, U) and (V, T), intersecting at a point S.

Therefore, line 'm' will be represented by VT or TV.

And line 'l' will be represented by RU or UR.  

Answer:

∠ ABC = 50°

Step-by-step explanation:

∠ ABC and 130° are a linear pair and sum to 180° , that is

∠ ABC + 130° = 180° ( subtract 130° from both sides )

∠ ABC = 50°

Answer:

900 ml of milk

Step-by-step explanation:

the scale is 1:1 so just multiply by 3

Answer:

x=7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

2x-4=10

   +10 +10

2x       14

2x/2   2/14

x = 7

The probability of Event A (the sum is greater than 5) is 11/12, and the probability of Event B (the sum is not divisible by 2 and not divisible by 3) is 4/9.

For Event A, we need to find the number of favorable outcomes that satisfy the condition of the sum being greater than 5. There are 30 favorable outcomes out of a total of 36 possible outcomes. Therefore, the probability of Event A is 30/36, which simplifies to 5/6 or approximately 0.83 when rounded to two decimal places.

For Event B, we need to determine the number of favorable outcomes that are not divisible by 2 and not divisible by 3. There are 16 favorable outcomes that satisfy this condition out of a total of 36 possible outcomes. Therefore, the probability of Event B is 16/36, which simplifies to 4/9 or approximately 0.44 when rounded to two decimal places.

These probabilities indicate the likelihood of each event occurring in the described scenario of rolling a fair die twice and summing the face values of the rolls.

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Answer:

x=3, Adding and dividing. (Im not too sure how to answer that question, Are there some options that you learned in class?)

Step-by-step explanation:

4x-5=7

+5       +5

4x=12

/4      /4

x=3

Step-by-step explanation:

(180-x)-40=X

140 -x=X

140= 2x

x=140/2

x=70

the answer is 70 degree

\(5 + n = 12 \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

Answer:

the answer would be a x^3-11x^2

Step-by-step explanation:

The other point is \(-5+6\iota\).

It is the system in which real and imaginary parts are present.

\(Mid point\ =\ -1+7\iota\\ One end point\ =\ 3+8\iota\\ \)

Real part

\(\rm x=\dfrac{ x_{1} +x_{2} }{2} \\ -1=\dfrac{3+x_{2} }{2} \\ x_{2} = -5\)

Imaginary part

\(\rm y=\dfrac{ y_{1} +y_{2} }{2} \\7=\dfrac{8+y_{2} }{2} \\y_{2} = 6\)

Hence, the other point is \(-5+6\iota\).

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Answer:

2

Step-by-step explanation:

for the x-intercep put y=0 then you solve for x

Answer

Solved Calculus AB, Semester 2 Assignment: Applications of ...

The population of a bacteria culture increases at the rate of 3 times the square root of the present population.