Which of the following options is not a real number

The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.

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The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.

In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.

To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:

1(1!)+2(2!) +3(3!) +4(4!) +3(3!)

= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)

= 1 + 4 + 18 + 96 + 18

= 137

Therefore, the value of the summation when m = 3 is 137.

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Answer:

A

Step-by-step explanation:

\(\frac{5}{6}\cdot \frac{1}{2}=\frac{5}{12}\)

Multiply top and bottom, on the top we get 5*1 which is 5 and on the bottom we get 6*2 which is 12.

Answer:

x < 6

Step-by-step explanation:

subtract 21 on both sides

-4x > -24

divide both sides by -4 and flip the sign (bc you're dividing by a negative)

x < 6

Answer:

=24x−30

Step-by-step explanation:

=(6)(4x+−5)

=(6)(4x)+(6)(−5)

=24x−30

Answer:

6 (4x - 5)

24x -30

i think question is not complete

Step-by-step explanation:

Answer:

She missed her goal, because she made less than $75 on coffee today.

10

Step-by-step explanation:

Target profit = $75

Profit per cup = $0.80

Number of cups sold = 90

Profit made today = Profit per cup * Number of cups sold

= $0.80 * 90

= $72

She missed her goal, because she made less than $75 on coffee today.

2. (9.5 minus 3 times 1 and one-half) divided by 0.5

(9.5 - 3 * 1 1/2) ÷ 0.5

= 9.5 - 3 * 3/2 ÷ 0.5

= 9.5 - 9/2 ÷ 0.5

= (9.5 - 4.5) ÷ 0.5

= 5 ÷ 0.5

= 10

Answer:

Hope this helps ;)

Step-by-step explanation:

To find the time it takes the T-shirt to reach its maximum height, we need to find the value of t when the velocity of the T-shirt is zero, because at this point the T-shirt has reached its maximum height and starts falling back down. We can find the velocity of the T-shirt by taking the derivative of the height equation with respect to time:

v(t) = h'(t) = 72

The velocity of the T-shirt is a constant 72 feet per second, so it will never reach a velocity of zero and will never reach its maximum height. The T-shirt will keep going up indefinitely.

If the problem had specified that the T-shirt was launched with an initial upward velocity of -72 feet per second (meaning it was launched downward), then we could have found the time it takes the T-shirt to reach its maximum height by setting v(t) = 0 and solving for t. In this case, we would find that t = 1, so it would take the T-shirt 1 second to reach its maximum height. The maximum height would be h(1) = -16 + 72(1) + 6 = 62 feet.

Answer:

20

Step-by-step explanation:

You would divide 35 by 4/7 and you would get 20.

Jaden is 35 inches tall. He is 4/7 as tall as his brother, so his brother is 61 inches taller than him .

Given:

Represent Jaden with j and his brother with B.

The first statement implies that:

\(J = 35\) \(in\)

The second statement implies that:

\(J = \frac{4}{7}\)\(B\)

Required

Find B

\(J = \frac{4}{7}B\) and \(J = 35\) \(in\)

Equate both expressions:

\(J = J\)

\(\frac{4}{7} B = 35\)

Multiply both sides by \(\frac{7}{4}\)

\(\frac{7}{4} * \frac{4}{7} B = 35 * \frac{7}{4}\)

\(B= 35* \frac{7}{4}\)

\(B = \frac{35 * 7}{4}\)

\(B= \frac{245}{4}\)

\(B= 61.25 in\)

\(B = 61 in\)--- approx.

Hence, his brother is 61 inches tall.

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Answer:

\(b \leqslant - 16\)

Only x = -3 is less than -2.

We have the following statement -

"A number b is at least -16"

Given is the following statement -

"a number b is at least -16".

We can write the given inequality as -

b ≥ - 16

Therefore, we can write the given statement as -

b ≥ - 16

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The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Answer:

angle ABC= 47°

angle CAD= 38°

Step-by-step explanation:

angle ABC= 180-(49+84)= 47°

because all angles in a traingle add up to 180°

angle ACD= 180-84= 96°

because angle on a straight line add up to 180°

so, angle CAD= 180-(46+96)= 38°

because all angles in a traingle add up to 180°

HOPE IT HELPS ☺️!

The required value of points A and B is given by \(x_{A,\:B}=\frac{-12\pm \:2\sqrt{466}}{2*5}\).

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The given equation is
y= -kx² - 4x + m
The above equation passes by points (4,-18) and (-2,30) So,
-18 = -k×4×4 - 4 × 4 + m
-18 = -16k - 16 + m
m - 16k = 2 - - - - - -(1)
Similarly,
m - 4k = 22 - - - - - - - (2)
Solving equations,
We get
k = 5/3 and m = 86/3
So the equation is given by,
y = -5/3x² - 4x + 86/3

Part (A)
Now, putting y = 0
5/3x² + 4x - 86/3 = 0
\(x_{A,\:B}=\frac{-12\pm \:2\sqrt{466}}{2*5}\)

Thus, the required value of points A and B is given by \(x_{A,\:B}=\frac{-12\pm \:2\sqrt{466}}{2*5}\).

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According to the Angle Addition Postulate, the measure of m∠ABD = 202°.

According to the Angle Addition Postulate, an angle's measure is equal to the sum of the measures of any two adjacent angles. The Angle Addition Postulate can be used to determine the measurement of a missing angle or to determine the angle produced by two or more other angles.

Given:

The angle measures:

m∠ABC=37°,

and m∠⁡C⁣B⁣D= 165⁢°.

So, according to the angle addition postulate;

m∠ABD = m∠ABC + m∠CBD

Substituting the values,

m∠ABD = 37° + 165⁢°

m∠ABD = 202°

Therefore, the angle measure of m∠ABD = 202°.

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it took him 27 minutes to reach home

Answer:-39

Step-by-step explanation:

The first thing is to open the bracket.

By doing that, the question becomes -37-2.

note that plus×minus=minus.

Hence,-39 as the final answer

The calculation of this can be done by first determining the future value of the monthly payments of $327.50

The future value of an annuity can be determined using a financial calculator, mathematical formula, or spreadsheet software. The future value of an annuity is calculated by multiplying the periodic payment amount by the future value factor,

which is based on the number of payments and the interest rate.For example, suppose we want to know the future value of a $500 end-of-month deposit into an annuity that pays 6% interest compounded monthly for five years.

The future value factor for 60 periods at 0.5 percent per month is 80.9747, which can be multiplied by the monthly deposit amount to find the future value of the annuity.500 × 80.9747 = 40,487.35

This means that a $500 end-of-month deposit into an annuity paying 6% interest compounded monthly for five years will have a future value of $40,487.35.

Therefore, to accumulate a $20,000 down payment for a home in five years, you would need to deposit $327.50 per month into the annuity.

 for 60 months using the formula and then solving for the monthly payment amount where FV = $20,000 and n = 60, r = 0.5%.FV = PMT [(1 + r)n – 1] / r$20,000 = PMT [(1 + 0.005)60 – 1] / 0.005PMT = $327.50 (rounded to the nearest cent).

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We would give 4.78 mg of Gentamicin to baby Nathaniel.

Unit conversion means the conversion between different units and measurements of the same quantity done by the process of multiplication or division.

Given,

Dosage of Gentamicin per kg = 1.3 mg/kg

Weight of the baby = 8.1pounds

1 pound = 0.4536 kg

8.1 pounds = 3.674 kg

Weight of the baby in kilograms = 3.674 kg

Then dosage to the baby = 3.674 × 1.3

                                          = 4.7762 ≈ 4.78mg

Hence, 4.78 mg of Gentamicin, baby Nathaniel would receive.

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The length of e is 29.53 inches.

In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".

Given:

f= 33 inches

<F= 140, <D = 5

Now,

<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35

Using Sine law

sin F / f = sin E/ e

sin 140 / 33 = sin 35 / e

0.642/ 33 = 0.573 / e

0.0194 e= 0.573

e= 29.53 inches

Hence, the length of e is 29.53 inches.

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Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Answer:

\( - \sqrt{9} = - 3\)

\( \sqrt{ - 36} = 6i\)

\(( - 10)^{3} = - 1000\)

\(( { - 6})^{3} = - 216\)

Answer:

Step-by-step explanation:

Calculate the slope:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Let m₁ and m₂ are the slopes of AB and CD.

Then

if m₁ = m₂ → lines are parallel

if m₁ · m₂ = -1 → lines are perpendicular

\(A(0;\ -4);\ B(-1;\ -7)\\\\m_{AB}=\dfrac{-7-(-4)}{-1-0}=\dfrac{-7+4}{-1}=\dfrac{-3}{-1}=3\\\\C(3;\ 0);\ D(-3;\ 2)\\\\m_{CD}=\dfrac{2-0}{-3-3}=\dfrac{2}{-6}=-\dfrac{2:2}{6:2}=-\dfrac{1}{3}\)

\(m_{AB}\neq m_{CD}\) - no parallel

\(m_{AB}\cdot m_{CD}=3\cdot\left(-\dfrac{1}{3}\right)=-\dfrac{3}{3}=-1\) - perpendicular

Answer:

Answer: it is c because there is 4 balls for red and 3 balls for clear not the same there is more possibility for red

Step-by-step explanation:

Answer:

The answer is C.

Answer:

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Approximately normal with mean equal to 66.3 years and standard deviation equal to 3.6 years.

This means that \(\mu = 66.3, \sigma = 3.6\)

Sample of 9:

This means that \(n = 9, s = \frac{3.6}{\sqrt{9}} = 1.2\)

What is the probability that the average age at death of these nine participants will exceed 68 years?

This is 1 subtracted by the pvalue of Z when X = 68. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{68 - 66.3}{1.2}\)

\(Z = 1.42\)

\(Z = 1.42\) has a pvalue of 0.9222

1 - 0.9222 = 0.0778

0.0778 = 7.78% probability that the average age at death of these nine participants will exceed 68 years

Answer:

-5

Step-by-step explanation:

(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

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Answer:

Step-by-step explanation:

To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix

a) find that x = 140/2 = 70.

b) side length \(x\) the maximum area that the playground can have is x = 70

c)  The maximum area that the playground can have is 980 square meters

a. The playground is a rectangle, and the perimeter of a rectangle is given by 2(l + w) = 2x. The given information is that the perimeter is 280 meters, so we can set up the equation 2x = 280. Solving for x, we find that x = 140/2 = 70.

Now that we know the perimeter, we can find the area of the playground by using the formula A = lw. Since the perimeter is fixed at 280 meters, we can express the area of the playground as a function of x:

A(x) = lw = (x/2)(280 - x) = 140x - x^2

b. To find the side length x that gives the maximum area, we need to take the derivative of the area function and set it to zero.

A'(x) = 140 - 2x = 0

x = 70

c. Plugging x = 70 back into the area function, we get:

A(x) = 140x - x^2 = 140 * 70 - 70^2 = 140 * 70 - 4900 = 980.

The maximum area that the playground can have is 980 square meters.

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As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

$666.66

Step-by-step explanation:

4%/12=0.33333

0.33333*9= 3%

2,000/3=$666.66

2,000+666.66=$2,666.66