elena is proving the pythagorean theorem. she knows the goal is to prove that in a right triangle. so far she has: triangle with sides a, b, and c. right angle between a and b. segment h drawn from vertex between a and b and meets c at a right angle. h splits c into 2 lengths labeled x and y. x is adjacent to a. in a right triangle the altitude that intersects the hypotenuse decomposes the triangle into 2 smaller right triangles. these triangles are similar to the large triangle by the angle-angle triangle similarity theorem since each smaller triangle shares one angle with the larger triangle and has a right angle. similar triangles have proportional side lengths, so and . i can rewrite those equations to get and . therefore . . . fill in the blanks and finish the proof elena started.

D. No, because the probability of being left-handed is greater, x must count the number of left-handed adults.

The binomial probability formula can be used to calculate the probability of a certain number of successes (or left-handed individuals) in a given number of trials (100 adults). In order for the binomial probability formula to be used, the trials must be independent, meaning that the selection of one person does not affect the selection of the next one. Since the probability of being left-handed is greater, the binomial probability formula cannot be used in this case and x must count the number of left-handed adults.

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The given statement " if a random variable is discrete, it means that the random variable can only take non-negative integers as possible values." is False because it can also take negative integers.

A discrete random variable is a random variable that can only take on a countable number of distinct values, which may or may not be integers. These values can be positive, negative, or zero, and they do not have to be restricted to non-negative integers.

For example, the number of cars that pass through a certain intersection in an hour is a discrete random variable, which can take on any non-negative integer value. However, the number of children in a family is also a discrete random variable, which can take on any non-negative integer value, but it doesn't have to be an integer.

Conversely, a continuous random variable is a random variable that can take on any value in a specified range or interval, typically representing measurements such as time, distance, or weight. Examples of continuous random variables include the height of a person, the temperature of a room, and the amount of rainfall in a given area.

Therefore, whether a random variable is discrete or continuous does not necessarily imply anything about the range of values that it can take.

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i got it right cus im smart

Answer:

To solve this equation, we will first simplify the left-hand side using the fact that the square root of a number squared is equal to the absolute value of that number.

So, we have:

| x - 4 | = 4 - x

We can now split this equation into two cases, depending on whether x - 4 is positive or negative:

Case 1: x - 4 ≥ 0

In this case, | x - 4 | = x - 4, so we have:

x - 4 = 4 - x

Simplifying this equation, we get:

2x = 8

x = 4

However, we must check this solution to make sure it satisfies the original equation. Plugging x = 4 back into the original equation, we get:

√(4 - 4)^2 = 4 - 4

√0 = 0

So, x = 4 is a valid solution.

Case 2: x - 4 < 0

In this case, | x - 4 | = -(x - 4), so we have:

-(x - 4) = 4 - x

Simplifying this equation, we get:

-2x + 8 = 4

-2x = -4

x = 2

Again, we must check this solution to make sure it satisfies the original equation. Plugging x = 2 back into the original equation, we get:

√(2 - 4)^2 = 4 - 2

√4 = 2

This is a valid solution.

Therefore, the equation has two solutions: x = 4 and x = 2.

Answer: Bro x = 4

Step-by-step explanation:

Question:

You are ordering short-sleeve shirts (x) for $10 and long-sleeve shirts (y) for $15. Your budget is $300. Write the equation and find the intercepts.

Interpret their meaning.

Answer:

The x-intercept shows that you can buy 30 short-sleeve shirts and 0 long-sleeve shirts.

The y-intercept shows that you can buy 20 long-sleeve shirts and 0 short-sleeve shirts.

Step-by-step explanation:

Given

$10 per short sleeve

$15 per long sleeve

Budget = $300

The above can be represented as:

Total Cost of Short Sleeve + Total Cost of Long Sleeve = Budget

i.e.

\(10 * x + 15 * y =300\)

\(10x + 15y =300\)

To solve for the y intercept, we set x to 0

\(10 * 0 + 15y =300\)

\(15y =300\)

Divide through by 15

\(y = 20\)

This implies that, you can buy 0 short sleeves and 20 long sleeves

To solve for the x intercept, we set y to 0

\(10x + 15 * 0 = 300\)

\(10x = 300\)

Divide through by 10

\(x = 30\)

This implies that, you can buy 0 long sleeves and 30 short sleeves

Answer:

50505

Step-by-step explanation:

this is the answer you can use calculator

To find the 4th term in the expansion of (x² + 2y)¹, we can use the binomial theorem. The general term in the binomial expansion is given by:

T(r+1) = C(n, r) * (a^(n-r)) * (b^r)

T(r+1) represents the r+1 term in the expansion
C(n, r) represents the binomial coefficient (n choose r)
N represents the power of the binomial
R represents the term number
A and b represent the terms within the binomial expression

In this case, we have (x² + 2y)¹, where n = 1. To find the 4th term, we substitute r = 3 into the formula.

T(3+1) = C(1, 3) * (x²)^(1-3) * (2y)^3

Simplifying the expression further, we have:

T(4) = C(1, 3) * x^(-2) * (8y³)
= 0 * x^(-2) * (8y³) (since C(1, 3) = 0 for r > n)
= 0

Therefore, the 4th term in the expansion of (x² + 2y)¹ is 0.


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Answer: B) \(f\left(x\right)=\frac{1}{3}\left(-x-1\right)^{5}\)

Step-by-step explanation:

When graphing x5 the parent function and plugging in the equation for B the only equation that fits the criteria of

*shifting left 1 unit

*vertically compressed by 1/3

*reflect over the y-axis

So the answer is B

The function after the transformation is f ( x ) = ( 1/3 ) ( -x + 1 )⁵

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁵

On reflecting over the y axis , we get

f ( x ) = ( -x )⁵

On vertically compressing by a factor of ( 1/3 ) , we get

f ( x ) = ( 1/3 ) ( -x )⁵

And , shifting 1 unit to the left , we get

f ( x ) = ( 1/3 ) ( -x + 1 )⁵

Hence , the transformed function is f ( x ) = ( 1/3 ) ( -x + 1 )⁵

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Answer:

What does the random variable for a binomial experiment of n trials measure? The random variable measures the number of successes out of n trials. ... A binomial experiment requires that the probability of success be the same for each trial. In an experiment, there are n independent trials.

Step-by-step explanation:

Answer:

There are 342 different combinations.

Step-by-step explanation:

Ok, Aileen is choosing toppings for a pizza.

She can choose two.

There are 19 options that can be chosen once.

The first thing we need to do, is find all the "selections".

Here we have two selections:

Topping number 1

Topping number 2.

Now we need to find the number of options for each one of these selections:

Topping number 1:  Here we have 19 options.

Topping number 2:  Here we have 18 options (because one was already taken in the previous selection)

The total number of combinations is equal to the product between the numbers of options.

C = 19*18 = 342

There are 342 different combinations.

First, we subtract 2x on each side.

Then, we subtract 12 on each side.

We sum 7x on each side.

Then, we add 8 on each side.

At last, we divide the equation by 36.

First, we use the distributive property.

Then, we subtract 8x on each side.

Now, we add 10 on each side.

At last, we divide the equation by -4.

Answer:

The answer would be 490.2 kg because when you're finding the percent of a certain number, you can multiply the number with the percentage. When converting the percentage, you have to move the decimal point 2 times to the left.

Answer:

490.02kg

Step-by-step explanation:

In short-

86%= 86/100

"of" in maths is basically "multiply"

therefore,

86/100 * 570=x

0.86*570=x

x=490.02

Answer:

A) exactly one solution

Step-by-step explanation:

if we set the y values equal we would get

-2x-4 = 3x+3

-7= 5x

x=-7/5

Since we get an x value, the answer is that they have exactly one solution.

Answer:

I believe it is C

Step-by-step explanation:

a{n}=a{1}+(n-1)d

an = the nᵗʰ term in the sequence

a1 = the first term in the sequence

d = the common difference between terms

Answer:

D

Step-by-step explanation:

Here the sequence start with 95

then start to minus 15 to make the sequence

for the first time 80

then for the second 65

and for third time 50

in this equation (n) represent the times or how many 15 we will minus from 95

so in

-15n+95

-15(1)-95=80

-15(2)-95=65

-15(3)-95=50

I hope this help

20 different pizzas

==========================================================

Explanation:

Consider 3 slots to fill. I'll label them slot A, B, C.

There are 6 choices for slot A, then 5 choices for B, and 4 for C. We count down by one each time since we cannot reuse a topping.

There would be 6*5*4 = 30*4 = 120 permutations if order mattered.

However, order doesn't matter with pizza toppings. So we must divide by 3*2*1 = 6 (this is the number of ways to arrange any group of 3 things)

We get 120/6 = 20 as the final answer

---------------------

Alternatively, you can use the nCr combination formula following these steps.

n C r = (n!)/(r!(n-r)!)

6 C 3 = (6!)/(3!*(6-3)!)

6 C 3 = (6!)/(3!*3!)

6 C 3 = (6*5*4*3!)/(3!*3!)

6 C 3 = (6*5*4)/(3!)

6 C 3 = (6*5*4)/(3*2*1)

6 C 3 = (120)/(6)

6 C 3 = 20 different pizzas possible

As the third to the last line shows, we have 6*5*4 up top and 3*2*1 down below. This matches exactly what was discussed in the previous section.

---------------------

Yet another alternative is to use Pascal's Triangle (see below) and we locate the row that has 1,6,... at the start. We circle the fourth item of this row that corresponds to 6C3 = 20

When you see a right triangle and need to solve for one side, use the Pythagorean Theorem. This states that the square of the hypotenuse is equal to the sum of the squares of the adjacent sides. In algebraic terms:

\(a^2+b^2=c^2\)

In triangle 1, we are given c and b, we need to find a.

\(a^2+8.7^2=9.4^2\\a^2+75.69=88.36\\a^2+75.69-75.69=88.36-75.69\\a^2=12.67\\\sqrt{a^2}=\sqrt{12.67}\\a=3.56\)

In triangle 2, we have a and c, we need to find b.

\(6^2+b^2=14^2\\36+b^2=196\\36-36+b^2=196-36\\b^2=160\\\sqrt{b^2} = \sqrt{160}\\b=4\sqrt{10}\)

The solution of the system by using elementary row operations on the equations or on the augmented matrix following systemic elimination procedure is x1 = −8 and x2 = 3.

The complexity of the algebra required to solve a linear system rises as the number of equations and unknowns grows. By streamlining the nomenclature and standardizing processes, the necessary computations may be made easier to handle.

The procedures listed below should be followed in order to solve a system of linear equations using the row operations:

1. As a matrix equation, write the equations as AX = B.

2. Create an augmented matrix by converting the matrix equation to the following form: [A | B] (the word "augmented" refers to the vertical line we create to remind us where the equals sign belongs).

3. Reduce the augmented matrix using row operations to arrive at the answer.

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The temperature change for Monday is -30 degrees Fahrenheit,

The completed table is: Monday: -30, Tuesday: +7, Wednesday: +12, Thursday: +2, Friday: -6, to make the total change from Monday to Saturday equal to -15 degrees Fahrenheit.

To complete the table, we need to find the temperature change for Monday that makes the total change from Monday to Saturday equal to -15 degrees Fahrenheit.

Let x be the temperature change for Monday. Then, we can set up the equation:

x + 7 + 12 + 2 - 6 = -15

Simplifying and solving for x, we get:

x = -30

Therefore,

The temperature change for Monday is -30 degrees Fahrenheit, and the completed table is:

Monday: -30

Tuesday: +7

Wednesday: +12

Thursday: +2

Friday: -6

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Answer:

Run 2 Q-tips under hot water ands squeeze the pimple with them (this is a lot better than using your fingers)

Step-by-step explanation:

Answer:

whatever the guy said above me

Step-by-step explanation:

Answer/Step-by-step explanation:

1. -14

2. 3

3. -3

4. 10

5. -8

1. 4 x -3 = -12 - 2 = 14

2. -3 x 2 = -6 + 9 = 3

3. 8 divided by 4 = 2 - 5 = -3

4. 3/2 = 1.5 x 2 = 3 + 7 = 10

5. -9/3 = -3 - 5 = -8

As p is inversely proportional to the square of q, the value of p when q equals 4 is 88.

Proportional relationships are relationships between two variables where their ratios are equivalent.

For an inverse variation:

It is expressed as;

p ∝ 1/q

Hence:

p = k/q

Where k is the proportionality constant.

Given that, p is inversely proportional to the square of q:

p = k/q²

First, we determine the constant of proportionality:

When p = 22 and q = 8

k = ?

Plug in the values:

22 = k / 8²

k = 22 × 8²

k = 22 × 64

k = 1408

Next, we determine the value of p when q = 4

p = k/q²

Plug in the values:

p = 1408 / 4²

p = 1408 / 16

p = 88

Therefore, the value of p is 88.

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Answer: 8/10

Step-by-step explanation:

if you do 5/10 plus 3/10 it equals 8/10 and that is what the question is telling you to do.

Okay, here we have this:

We need to solve the following sum of polynomials:

The probability that a student living in a dormitory at ASU does not receive a coupon for a free sandwich is 0.6436.

The probability that a student lives in West Hall is 0.58 and the probability that a student lives in South Tower is 0.42. The probability that a student in West Hall receives a coupon is 0.26, and the probability that a student in South Tower receives a coupon is 0.19.

To find the probability that a student does not receive a coupon, we can use the complement rule: the probability of the event happening plus the probability of the event not happening is equal to 1. So, the probability of a student not receiving a coupon is 1 minus the probability of a student receiving a coupon.

Using a tree diagram, we can find the probability of a student receiving a coupon or not. Starting with the first branch of the tree, we have:

West Hall (0.58)
- Coupon (0.26)
- No Coupon (0.74)

South Tower (0.42)
- Coupon (0.19)
- No Coupon (0.81)

To find the probability of a student not receiving a coupon, we add the probability of no coupon from each branch of the tree and multiply by the probability of being in that branch. So, the probability of a student not receiving a coupon is:

(0.58 x 0.74) + (0.42 x 0.81) = 0.6436

Therefore, the probability that a student living in a dormitory at ASU does not receive a coupon for a free sandwich is 0.6436.
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Answer:

19 = x

Step-by-step explanation:

The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)

BD²= (BA)(BE)        

8² = (4 + x - 7) (4)             BA = BE + EB

8² = (x - 3)(4)

64 = 4x - 12

64 + 12 = 4x

76 = 4x

19 = x

Answer:

Step-by-step explanation:

I would help but I struggle in the same subject

Answer:

206 is the answer

Step-by-step explanation:

Like and give 5 star rating

Answer:

The correct answer is

117,°58.5°,31.5°

Polynomials are  closed under the operations of addition, subtraction, and multiplication, polynomials constitute a system similar to that of integers.

Polynomial exponents are whole numbers.

The fact that addition is closed for the whole numbers ensures that the resultant exponents will also be whole numbers. Polynomials are hence closed under addition.

Polynomials will be closed under an operation if the operation produces another polynomial.

If we subtract 2 polynomials, the result is a polynomial. Therefore, they are also closed under subtraction.

Polynomials are an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).

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