I'm new to this math and it's very confusing it's asking that Fill out the Venn diagram using the given information.

Answer:

Step-by-step explanation:

Use the Quadratic Formula.

-x² - 4x + 16 = 0

x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5

Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

Answer:

Arc length = 6.28 units

Step-by-step explanation:

\(Arc \ length = 2 \pi r \frac{ \theta}{360} = 2 \times \pi \times 9 \times \frac{40}{360} = 2\pi = 6.28\)

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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The monthly payment for the $11,000 loan for 6 years with an annual interest rate of 3.1% is $181.20.

From the information, we have a $11,000 loan for 6 years with an annual interest rate of 3.1%. The interest will be:

= Principal × Rate × Time.

= $11000 × 3.1% × 6.

= $2046

The monthly payment will be:

= ($11000 + $2046) / (6 × 12)

= $13046 / 72

= $181.20

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The given expression as a sine function is \(sin(\frac{\pi}{5} +\frac{\pi}{2} )\)

The given expression is:

\(sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )\)

Note that:

\(sin(A+B)=sinAcosB+cosAsinB\)

Applying the addition principle to the given expression, we have:

\(sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )=sin(\frac{\pi}{5} +\frac{\pi}{2} )\)

Therefore, the given expression as a sine function is \(sin(\frac{\pi}{5} +\frac{\pi}{2} )\)

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Answer: yes

Step-by-step explanation:

43093 is less than 43903

Answer:

10/2, 4, 0, -6.1

Step-by-step explanation:

It is the only answer that makes sense.

pls mark brainliest

Answer: -6.1, 0, 4 , 10/2

Step-by-step explanation:

-6.1 is the only negative number, so it is the least. Zero comes next. 10/2 is 5, so 4 comes before it. Therefore 4 is the 3rd installment in these ordered numbers.

Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

The height of the building is 10 meters.

What are similar triangles?

To be similar, two triangles must have the same shape, which means that their corresponding angles are equal. If the angles in two triangles are the same, they are said to be "congruent". If the angles are congruent and the sides are proportional, then the triangles are similar.

Let's call the height of the building "h". We can use similar triangles to find the height of the building.

This forms two triangles, one with the height of the building and the other with the length of the shadow.

Using the properties of similar triangles, we can set up the following proportion:

h/10 = (h+x)/26

where x is the distance from the tip of the shadow to the bottom of the building. We want to solve for h, so we can simplify and solve for h:

26h = 10 (h+x)

26h = 10h + 10x

16h = 10x

h = 10x/16

h = 0.625x

So, the height of the building is 0.625 times the distance from the tip of the shadow to the bottom of the building. We know that the distance from the top of the building to the tip of the shadow is 26 m, so the distance from the tip of the shadow to the bottom of the building is:

x = 26 - h = 26 - 0.625x

Solving for x, we get:

1.625x = 26

x = 16

Therefore, the height of the building is:

h = 0.625x = 0.625(16) = 10

So, the height of the building is 10 meters.

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Answer:

that it should be the last alined coordinates.

Step-by-step explanation:

Answer:

translate?

Step-by-step explanation

translate it and i can help

Answer:

Ummm WHAT! IS THIS FREE POINTS?!

Step-by-step explanation:

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

a) 5 - mn

Step-by-step explanation: its correct

The two different trinomials that have a greatest common factor of  \(5x^{2} y^{3}\) are:

a) \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\)

b) \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\\)

Let us verify,

a)  Consider the trinomial   \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\),

The Greatest Common Factor  of 35, 5, 15 is 5

The Greatest Common Factor  of  \(x^{2} ,x^{4} ,x^{3} =x^{2}\)

The Greatest Common Factor  of  \(y^{5} ,y^{9} ,y^{3} = y^{3}\)

There is no G.C.F for z because it is missing in the 3rd term.

So, the G.C.F  of the trinomial   \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\) =  \(5x^{2} y^{3}\)

b) Consider the trinomial   \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\\),

The Greatest Common Factor  of 25, 5, 10 is 5

The Greatest Common Factor  of \(x^{4} ,x^{7} ,x^{2} =x^{2}\)

The Greatest Common Factor  of \(y^{3} ,y^{8} ,y^{4} = y^{3}\)

There is no G.C.F for z because it is missing in the 2nd term.

So, the G.C.F of the trinomial  \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z = 5x^{2} y^{3}\)

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Answer:

un death somthing

Step-by-step explanation:

Answer:

Triangles in Geometry

Step-by-step explanation:

Answer:

\(\mu = 5.2\)

\(\sigma = 2.257\)

Step-by-step explanation:

Given

\(n = 260\) -- samples

\(p = \frac{1}{50}\) --- one in 50

Solving (a): The mean

This is calculated as:

\(\mu = np\)

\(\mu = 260 * \frac{1}{50}\)

\(\mu = 5.2\)

Solving (b): The standard deviation

This is calculated as:

\(\sigma = \sqrt{\mu * (1-p)}\)

\(\sigma = \sqrt{5.2 * (1-1/50)}\)

\(\sigma = \sqrt{5.2 * 0.98}\)

\(\sigma = \sqrt{5.096}\)

\(\sigma = 2.257\)

Answer:

33.33%

Step-by-step explanation:

Find the total by 4+3+2= 9

protein is represented by the middle number, or 3

divide 3 by 9

3/9= 0.3333

multiply that by 100

0.3333 x 100 = 33.33

hope this helps!

If the ratio of carbohydrates to protein to fat is 4:3:2.The percentage is protein will be 33.33 %.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Janna is training for a triathlon and wants to eat a diet with a ratio of carbohydrates to protein to the fat that is 4:3:2.

If the total percentage value is taken as 100%.As a result,

4x+3x+2x=100

9x=100

x=11.11

The percentage is protein is found as,

=3x

=3×11.11

=33.33

Thus, if the ratio of carbohydrates to protein to fat is 4:3:2.The percentage is protein will be 33.33 %.

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Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

In linear equation, y = (½)x  is equation does the graph below represent .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

(-8,-4) (0,0) and (8,4)

Use any 2 points to find the slope, hence the equation

slope = (y2-y1)/(x2-x1)

= (0-(-4))/(0-(-8))

= 4/8

= ½

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The equation that represents dividing the rectangle into two equal parts is:

W * L/4 = A/2

Assuming that we want to divide the rectangle into two equal parts by a straight line passing through its center, we can represent the rectangle's dimensions as follows:

Let L be the length of the rectangle, and let W be its width. Then the area of the rectangle is A = L * W.

Therefore, to divide the rectangle into two equal parts, we need to draw a line that passes through the center of the rectangle and divides it into two parts with equal areas.

Let x be the distance of the dividing line from one of the shorter sides of the rectangle. Then, the length of the two parts of the rectangle is equal, which means:

L/2 - x = x

Solving for x, we get:

x = L/4

Therefore, the equation that represents dividing the rectangle into two equal parts is: W * L/4 = A/2

This equation says that if we take the width of the rectangle and multiply it by one-fourth of its length, we get half of the rectangle's area, which represents dividing it into two equal parts.

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The probability of writing the first 7 digits of your phone number is 1/604,800.

Given data ,

To determine the probability of writing the first 7 digits of your phone number, we need to consider the total number of possible outcomes and the favorable outcomes.

Total number of possible outcomes:

When picking 7 digits without replacement from the set of 10 digits (0-9), the total number of possible outcomes is given by 10P7 (permutations of 10 objects taken 7 at a time):

10P7 = 10! / (10 - 7)! = 10! / 3! = 10 * 9 * 8 * 7 * 6 * 5 * 4 = 604,800.

Favorable outcomes:

To have written the first 7 digits of your phone number, you need to pick those specific digits in the correct order. Since the phone number has no repeated digits, there is only one specific order that satisfies this condition.

Therefore, the number of favorable outcomes is 1.

Probability:

The probability is given by the ratio of favorable outcomes to total possible outcomes:

Probability = Favorable outcomes / Total possible outcomes

= 1 / 604,800.

Hence, the probability is 1/604,800.

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Answer:

6 + 3e

Step-by-step explanation:

The expression in the mathematical form will be 6 + 3e.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Three times the sum of 2 and e. Then the expression in the mathematical form will be

The sum of 2 and e will be

⇒ 2 + e

Then the three times the sum of 2 and e will be

⇒ 3(2 + e)

⇒ 6 + 3e

The expression in the mathematical form will be 6 + 3e.

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Answer:

2, 5, or 8

Step-by-step explanation:

ccalculator go brr

Answer:

617829/3=205,943

617859/3=205,953

617889/3=205,963

Step-by-step explanation:

617819/3=​205,939.666

617829/3=205,943

617839/3=205,946.333

617849/3=205,949.666

617859/3=205,953

617869/3=205,956.333

617879/3=205,959.666

617889/3=205,963

617899/3=205,966.333

Answer:

3.4567 is a rational number

Step-by-step explanation:

An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.

For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational

Answer:

f(x) = 3х + 1

Step-by-step explanation: