Write the absolute value equations in the form | x - b |= c (where b is a number and C can be either a number or an expression) that has the following solution set. All numbers such that x <= 5

Answer:  1,000 millimeters

The prefix "milli" means "thousandth". One thousandth of a meter is a millimeter (mm). So it takes 1000 mm to form a full meter.

The monthly finance charge for the credit card transaction is $51.70.

We need to calculate the monthly finance charge for the given credit card transaction.

Credit card transaction means the purchase of goods or obtaining of services or cash against the use of the Credit Card, the Card number or in any manner authorised by the Cardholder for debit to the Credit Card Account or utilising of any services made available to the Cardholder by the Bank from time to time in respect.

Given that, $3,000 balance, 21% rate, 150 payments, average daily method

The particular month in question is 30 days long.

Your balance at the start of the month is $3,000.

Annual interest rate = 21%.

Payment = $150.00

When the payment is made in the month, it reflects on the tax amount you pay on both the average daily balance.

The average daily balance is $3000 from day 1 until day 10 (10 days)

The average daily balance is $2850 from day 11 until day 30 (20 days)

Average daily balance for the month = 10 × 3000 + 20 × 2850

= 87000 / 30

= $2900

Interest charge for the month = (0.21 × 2900× 30) / 365

The interest charge for the month = $50.05 rounded to the nearest penny

The average daily balance is $3000 from day 1 until day 29 (29 days)

The average daily balance is $2850 from day 30 until day 30 (1 day)

Average daily balance for the month = 3000 × 29 + 1 × 2850

= 89850 / 30

= $2995

Interest charge for the month = (0.21 × 2995 × 30) / 365

=51.6945≈$51.70

Therefore, the monthly finance charge for the credit card transaction is $51.70.

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Answer:

Step-by-step explanation:

1.4 x 10^10

Step-by-step explanation:

3x squared -9 = 12

3x squared = 12 + 9

3x squared = 21

am i doing the wrong maths?

is it find what 3x squared is or....

Answer:

18

Step-by-step explanation:

When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.

2*9 = 18

Cultural identity component of an individual which makes him identifiable with a given group. For example, British Asian is a cultural identity.

Cultural identity can be described as a component of an individual which makes him identifiable with a given group that share the same characteristics.

Examples of cultural identities may include the following:

I can state that I am a British Asian. British Asian is my cultural identity.

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Answer:

no

Step-by-step explanation:

you have done your part by helping in their study session,if you help them cheat you will suffer the consequences if he/she is caught,

This is an academic integrity violation because it is against honesty rules, the best would be to offer assistance to your friend.

Academic integrity encompasses principles of honesty, fairness, and trustworthiness in academic pursuits. It generally includes a commitment to originality and independent work. Assisting someone in completing an exam, especially a take-home exam, where individual effort and understanding are expected, would likely violate academic integrity policies.

Handling the situation ethically and responsibly would involve respecting the academic rules and ensuring fairness for all students. Instead of directly completing the exam for your friend, you can offer assistance by explaining concepts, providing guidance on problem-solving approaches, or reviewing their completed work to identify errors or areas for improvement. This way, you can help your friend learn the material and develop their own understanding, without compromising academic integrity.

Encourage your friend to seek additional help from their professor, teaching assistants, or tutoring services provided by the institution. They can also engage in group study sessions or form study groups with classmates, which promote collaborative learning while maintaining individual effort.

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Answer:A

Step-by-step explanation:

The symbols which correctly relates the two numbers are :

We could relate the two given numbers 100 and 20 on the basis of magnitude and equality.

100 is greater than 20, 100> 20

100 is greater than or equal to 20 , 100 ≥ 20

100 is not equal to 20 , 100≠20

Therefore, the symbols which relates the numbers are :

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Answer:

Step-by-step explanation:

I'll try to make this make as much sense as possible. If we have a cone with a liquid in it, this liquid takes up volume. Therefore, our main equation, at least at first, is to find the volume. This is because if we pump the liquid out of the tank, the thing that changes is the amount of liquid in the tank which is the tank's volume. The formula for the volume of a circular cone is

\(V=\frac{1}{3}\pi r^2h\)  and here's what we know:

r = 2 and h = 8. The formula for volume has too many unknowns in it, so let's get the radius in terms of the height and sub that in so we only have one variable. The reason I'm getting rid of the radius is because in the problem we are being asked how much work is done by pumping the liquid to the top of the tank, which is a height thing. Solve for r in terms of h using proportions:

\(\frac{r}{2}=\frac{h}{8}\) and solve for r:

\(r=\frac{2}{8}h =\frac{1}{4}h\) so we will plug that in and rewrite the equation:

\(V=\frac{1}{3}\pi(\frac{1}{4}h)^2h\) and simplify it til it's a simple as it can get.

\(V=\frac{1}{3}\pi(\frac{1}{16}h^2)h\) and

\(V=\frac{\pi}{48}h^3\) and since the volume is what is changing as we pump liquid out, we find the derivative of this equation.

\(\frac{dV}{dt}=\frac{\pi}{48}*3h^2\frac{dh}{dt}\) and of course this simplifies as well:

\(\frac{dV}{dt}=\frac{\pi}{16}h^2\frac{dh}{dt}\)

Work is equal to the amount of force it takes to move something times the distance it moves. In order to find the force it takes to move this liquid, we need to multiply the amount (volume) of liquid times the weight of it, given as 1000 kg/m³:

F = \(1000(\frac{\pi}{16}h^2\frac{dh}{dt})\) and the distance it moves is 8 - h since the liquid has to move the whole height of the tank in order to move to the top of the 8-foot tank. That makes the whole integral become:

\(W=\int\limits^8_0 {1000(\frac{\pi}{16}h^2(8-h)) } \, dh\) and we'll just simplify it down all the way:

\(W=62.5\pi\int\limits^8_0 {8h^2-h^3} \, dh\) and you're done (except for solving it, which is actually the EASY part!!)

Answer:

Magnitude of force is \(||v||\approx16.12\text{ lbs}\)

Step-by-step explanation:

\(||v||=\sqrt{x^2+y^2}\\||v||=\sqrt{(-8)^2+(14)^2}\\||v||=\sqrt{64+196}\\||v||=\sqrt{260}\\||v||\approx16.12\text{ lbs}\)

The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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whatever how much the money is for one day on the object just multiply the money by the days it's rented out and add together the snowboard total and the boots total

Answer:

358

Step-by-step explanation:

Answer:

Our three numbers are 8, 48, and 16.

Step-by-step explanation:

Let the first, second, and third numbers be x, y, and z, respectively.

The sum of them is 72. In other words:

\(x + y + z = 72\)

The second number y is three times the third number z. So:

\(y = 3z\)

And the third number z is eight more than the first number x. So:

\(z = x + 8\)

To find the numbers, solve for the system. We can substitute the last two equations into the first:

\(x + (3z) + ( x + 8) = 72\)

Substitute again:

\(\displaystyle x + 3(x+8) + x+8 = 72\)

Solve for x. Distribute:

\(x+3x+24+x+8=72\)

Combine like term:

\(5x + 32 = 72\)

Subtract:

\(5x = 40\)

And divide:

\(x=8\)

Thus, the first number is eight.

And since the third number is eight more than the first, the third number z is 16.

The second number is three times the third. Thus, the second number y is 3(16) or 48.

Our three numbers are 8, 48, and 16.

Answer:

Option: \(h\leq 16\)

Step-by-step explanation:

Looking for key words in the problem:

"At Most" represents important key words, meaning the maximum amount of hotdogs that are at the barbecue.

Inequality:

\(h\leq 16\)

h \(\leq \) 16 represents the maximum amount of hotdogs that has to be at the barbecue, also represents less than 16 can be cooked.

ASA stands for "Angle-Side-Angle." Triangles classified as ASAs have two known angles and a common side. The ASA triangle ABC, with provided angles B and C and their common side a between them, is depicted below.

What does a congruence mean in mathematics?

If two numbers can be placed exactly over one another, they are said to be "congruent." When placed one on top of the other, the two bread slices are the same size and form. Things that are precisely the same size and shape are said to be congruent.

Describe ASA congruence through an example.

ASA (Angle-Side- Angle) 

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

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Answer:

35 i think

Step-by-step explanation:

Answer:

here is not much information

Step-by-step explanation:

To calculate Tebogo's total cost per month, we need to consider the cost of blankets, delivery fee, and rent for selling space.

Cost of blankets:

Tebogo buys blankets from the wholesaler at R60 per blanket. Since he is restricted to 50 blankets per month, the cost of blankets is calculated as follows:

Cost of blankets = R60 per blanket x 50 blankets = R3000

Monthly delivery fee:

Tebogo incurs a monthly delivery fee of R120.

Rent for selling space:

The rent for selling space is not provided in the given information. To calculate the total cost per month, we would need the specific amount for rent.

To determine the total cost per month, we can sum up the costs:

Total cost per month = Cost of blankets + Monthly delivery fee + Rent for selling space

However, since the rent for selling space is not provided, we cannot calculate the exact total cost per month without that information.

Answer:

Step-by-step explanation:

BAD = 42

x + 103 + 42 = 180

x = 180 - 145

x = 35

Answer:it might be A

Answer:

No, he should not. He will only have $200 left over which he needs to put aside for savings and buying food and other goods and utilities. He should not buy until he has saved up more.

Step-by-step explanation:

Answer:

$246.42

Step-by-step explanation:

13.69(4+4+4+4) + 27.38

    13.69(16) + 27.38

     219.04 + 27.38

         246.42

You should make $246.42.

The amount of money that she can afford to borrow for a house is; $78,375

To use the banker’s rule to determine the amount of money a person may borrow, you may borrow up to 2.5 times your annual income. Thus, by bankers rule, we can say that;

Amount you can borrow = Annual income * 2.5

Thus, since she has an annual income of #31350, it means that;

Amount she can borrow for a house = 2.5 * 31350 = $78,375

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The medians are about the same.

Option C is the correct answer.

The median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.

We have,

Movie theater 1.

From the box plot given,

The median is 995.

Movie theater 2.

From the box plot given,

The median is 995.

Thus,

The median in both the box plot is the same.

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Answer:

I'm so sorry no answer

Step-by-step explanation:

La tarjeta de crédito tiene una tasa efectiva de interés anual de 21,375 %.

En este problema tenemos que Merle obtiene una tarjeta de crédito bajo la siguientes condiciones: 0 % E.A. para los primeros 60 días, 23,19 % E.A. para los 365 restantes.

Debemos determinar la tasa de interés efectiva anual equivalente, esto es posiblemente mediante una aplicación consecutiva del concepto de interés, descrito abajo:

I = (1 + r / 36500)ⁿ

Donde:

La situación es descrita por la siguiente expresión matemática:

1 + R / 100 = (1 + 0 / 36500)⁶⁰ + (1 + 23,19 / 36500)³⁰⁵

Donde R es la tasa efectiva de interés anual.

Finalmente, despejamos la variable correspondiente:

R = 21,375

La tasa efectiva de interés anual a sufragar por Merle por el uso de tarjeta de crédito es 21,375 %.

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