Is 21, 28,35 the sides of a right triangle?

Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

Answer:

yes, your answer would be 2400

Answer:

b

Step-by-step explanation:

because females are randomly selected the and the probability that they have pulse rates with am mean trough dependent sarcasm

Step-by-step explanation:

The Rule: If you are multiplying by a value less than one, your product will decrease. If you are multiplying by 1, the product will be equal and if you are multiplying by a value greater than 1, the product will increase.

The expanded form of (2 + x)⁶ is x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² +192x + 64.

What is binomial theorem?

The nth power of the sum of two numbers a and b can be represented as the sum of n + 1 terms of the form, according to the binomial theorem, which states that for any positive integer n. In advanced mathematics and computation, the binomial theorem is used to find the roots of equations with higher powers. This theorem, which is a crucial component of algebra, has applications in permutations and combinations, probability, matrices, and mathematical induction.

Given expression is (2 + x)⁶.

Applying binomial theorem on the given expression:

= ₆C₀ x⁶ ˣ 2⁰ + ₆C₁ x⁵ ˣ 2¹ +  ₆C₂ x⁴  ˣ 2² + ₆C₃ x³  ˣ 2³ +  ₆C₄ x²  ˣ 2⁴ + ₆C₅ x¹  ˣ 2⁵ + ₆C₆ x⁰ ˣ 2⁶

= (1 ˣ x⁶ ˣ 1) + (6 ˣ x⁵ ˣ 2) + (15 ˣ x⁴ ˣ 4) + (20 ˣ x³ ˣ 8) + (15 ˣ x² ˣ 16) + (6 ˣ x ˣ 32) + (1 ˣ 1ˣ 64)

=x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² +192x + 64

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Answer: The answer is 171.2 Miles

Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.

Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.

Answer:

44 minutes

Step-by-step explanation:

It takes him 4 minutes to read one page, so you multiple 4 by 11 and get the amount of time it takes him to read 11 pages

Answer:

takes 44 minutes to read 11 pages

Step-by-step explanation:

Answer/Step-by-step explanation:

✔️when x = 0:

\( 4^{-x} \)

Plug in the value of x

\( 4^{-0} \)

\( \frac{1}{4^0} \) (negative exponent)

\( \frac{1}{1} \) (whatever number that is raised to the power of 0 = 1)

a = 1

✔️when x = 2:

\( 4^{-x} \)

Plug in the value of x

\( 4^{-2} \)

\( \frac{1}{4^2} \) (negative exponent)

\( b = \frac{1}{16} \)

✔️when x = 4:

\( 4^{-x} \)

Plug in the value of x

\( 4^{-4} \)

\( \frac{1}{4^4} \) (negative exponent)

\( c = \frac{1}{256} \)

Answer:

x = 6       y = 7

Step-by-step explanation:

You can isolate y using the first equation and get y = 13 - x.

Plug in for y using the second equation.

4x + (13 - x) = 31       Solve for x

4x - x = 18

3x = 18

x = 6                  Plug in for x using the first equation.

(6) + y = 13         Solve for y

y = 7

I hope this helped and please mark me as brainliest!

Answer:

The solution is (6, 7)

Step-by-step explanation:

Let's solve this system by elimination by addition and subtraction.  To accomplish this, subtract each term of the first equation by the corresponding term beneath it (e. g., subtract x in the first term from 4x in the second term):

3x = 18, which leads to x = 6.

Now substitute 6 for x in the first equation.  We get:  6 + y = 13, so y must be 7.

Substituting 7 for y in the second equation, we get 4x + 7 = 31, or 4x = 24.

Then x must be 6, and so

The solution is (6, 7)

The probability that $xo$ is shorter than $xp,$ $xq,$ and $xr.$ is,

⇒ 1/3

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Let $pqr$ be an equilateral triangle, centered at $o$ a point $x$ is chosen at random inside the triangle.

Hence, The probability that $xo$ is shorter than $xp,$ $xq,$ and $xr.$ is,

⇒ 1/3

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Answ

Step-by-step explanation:wirugf4

Answer:

(a)\(x^TAx=3x_1^2+4x_1x_2+2x_2^2+2x_2x_3\)

(b) 12

(c)\(2\frac{3}{4}\)

Step-by-step explanation:

\(G$iven A=\left[\begin{array}{ccc}3&2&0\\2&2&1\\0&1&0\end{array}\right]\)

We are to compute the quadratic form \(x^TAx\) for A.

Part A

\(x=\left[\begin{array}{ccc}x_1\\x_2\\x_3\end{array}\right]\)

\(x^TAx = \left[\begin{array}{ccc}x_1&x_2&x_3\end{array}\right]\left[\begin{array}{ccc}3&2&0\\2&2&1\\0&1&0\end{array}\right]\left[\begin{array}{ccc}x_1\\x_2\\x_3\end{array}\right]\)

\(= \left[\begin{array}{ccc}x_1&x_2&x_3\end{array}\right]\left[\begin{array}{ccc}3x_1+2x_2+0x_3\\2x_1+2x_2+1x_3\\0x_1+1x_2+0x_3\end{array}\right]\)

\(= x_1(3x_1+2x_2+0x_3)+x_2(2x_1+2x_2+1x_3)+x_3(0x_1+1x_2+0x_3)\\= x_1(3x_1+2x_2)+x_2(2x_1+2x_2+x_3)+x_3(x_2)\)

\(= 3x_1^2+2x_1x_2+2x_1x_2+2x_2^2+x_2x_3+x_2x_3\\\\x^TAx=3x_1^2+4x_1x_2+2x_2^2+2x_2x_3\)

Part B

\(x=\left[\begin{array}{ccc}-2\\-1\\5\end{array}\right]\\x^TAx=3x_1^2+4x_1x_2+2x_2^2+2x_2x_3\\=3(-2)^2+4(-2)(-1)+2(-1)^2+2(-1)(5)\\=3*4+4*2+2-10\\=12+8+2-10\\=12\)

Part C

\(x=\left[\begin{array}{ccc}\frac{1}{2}\\\frac{1}{2}\\\frac{1}{2}\end{array}\right]\\x^TAx=3x_1^2+4x_1x_2+2x_2^2+2x_2x_3\\=3(\frac{1}{2})^2+4(\frac{1}{2})(\frac{1}{2})+2(\frac{1}{2})^2+2(\frac{1}{2})(\frac{1}{2})\\\\=\frac{3}{4}+1+ \frac{1}{2}+\frac{1}{2}\\\\=2\frac{3}{4}\)

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

Answer:

maa ki chut. na na na na na na na na na na na na na na na na na

When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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Answer:

the answer is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

I hope this helps!

Answer:

  19 or 26

Step-by-step explanation:

You want the value of 3n² -8n -9, given that n(n -3) = 10.

We recognize that 10 = 5·2 and that these factors differ by 3. This means n(n -3) = 10 is equivalent to saying n ∈ {-2, 5}.

The value of 3n² -8n -9 will be one of ...

  (3n -8)n -9 = (3(-2) -8)(-2) -9 = (-14)(-2) -9 = 19 . . . . for n = -2

or

  (3(5) -8)(5) -9 = (7)(5) -9 = 26 . . . . . . . for n = 5

The expression 3n² -8n -9 will be either 19 or 26.

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The length of the unknown leg of the right triangle is 6.2 ft rounded to one decimal place, using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

we shall represent the unknown leg of the right triangle with the letter "x" so that by Pythagoras rule we can evaluate for x as follows:

8² = 5² + x²

x = √(8² - 5²) {make TV the subject}

x = √(64 - 25)

x = √39

x = 6.2450

Therefore, the length of the unknown leg of the right triangle is 6.2 ft rounded to one decimal place, using the Pythagoras rule.

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H0: There is no link between state and preferred sport.

H1: There is a connection between state and preferred sport.

Given,

The question to be answered is whether the factor "state" and the factor "sporting choice" are related.

Therefore, the focus of the study is on "association" and whether or not state-to-state variations in athletic preference distributions exist. The most appropriate test in this instance is the test for association.

Unless there is evidence to the contrary, two things are assumed to not be related. Since the null hypothesis is assumed to be true, the following two hypotheses are the proper pair:

H0: There is no connection between a person's state and their preferred sport.

H1: The choice for sports and state are related.

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64 is not divided by eight four times. A square has four sides. Since 64 is divided by 16 four times. I think the sides will be of length 16cm.

Hopefully it helps

Answer:

Needs More Information

Step-by-step explanation:

Answer:

11,356 ml.....................

The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)

From the question, we have the following parameters that can be used in our computation:

2ˣ⁺⁴

The above expression is an exponential expression with the following properties

When the above expression is expanded, we have

2ˣ⁺⁴ = 2ˣ * 2⁴

Evaluate the expression 2 exponent 4

So, we have the following representation

2ˣ⁺⁴ = 2ˣ * 16

Rewrite as follows

2ˣ⁺⁴ = 16 * 2ˣ

This gives

2ˣ⁺⁴ = 16(2ˣ)

Hence, the expression that is equivalent to the expression is 16(2ˣ)

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The rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

The mathematical concept of rate of change describes how much one quantity changes in relation to another. It is calculated as the difference between the change in the output (the dependent variable) and the change in the input (independent variable).

The rate of change, in other words, informs us of how quickly or slowly something is changing through time or in relation to another variable. When tracking the distance an automobile travels over time, for instance, the rate of change would be the car's speed, which is calculated as the distance traveled divided by the time required.

Slope, which is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a graph, is a common way to depict the rate of change. The rate of change of the dependent variable with respect to the independent variable is depicted by the slope of a straight-line graph.

The rate of change in the total amount charged with respect to the time spent on the service call represents the slope of the graph. We can find the slope of the graph by taking any two points on the line and calculating the change in y (total amount) divided by the change in x (time spent on the service call).

Looking at the graph, we can choose two points: (2, 130) and (8, 370). The change in y is:

370 - 130 = 240

And the change in x is:

8 - 2 = 6

Therefore, the slope (rate of change) of the graph is:

240/6 = 40

So the rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

Therefore, the correct option is $40 per hour.

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Answer:

942 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where S is the surface area, r is the radius, and h is the height.

Substituting the given values, we get:

S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5

S = 628 + 314

S = 942

Therefore, the surface area of the cylinder is 942 square millimeters.

Answer:

33%

Step-by-step explanation:

Answer:

B) 9  3/8 in

Step-by-step explanation:

The scale model of the model is 1/2 in for 4 feet, or 1 in for 8 feet.

The real light house is 75 feet. Divide 75 with 8:

75 feet/8 feet per inch = 9.375, or 9 3/8 inches.

B) 9  3/8 in. is your answer.

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