-22+(24+28)=(-22+24)+28 communitive or associative pls help!

Answer:

4.0731 cm

Step-by-step explanation:

Use pythagorean Theorem which is a^2 + b^2 = c^2 where a and b are the sides of the triangle and c is the hypotenuse, in other words the longest side.

Since x is in line with the center of the circle and is perpendicular with line that measures 15.6 cm we know that one side of the triangle is half of 15.6 or 7.8.

So then we input our known values into the formula and solve for the missing one. The formula looks like this

7.8^2 + b^2 = 8.8^2

solve for b and you get about 4.07431

your very welcome

Answer:

X= 4.1

Step-by-step explanation:

Other answer wasn't rounded.

X= 4.1 cm

To solve this problem, we can set up a ratio equation based on the information given. According to nadhii, the ratio of people who liked the playlist to people who didn't is 75:25.

This means that out of every 100 people, 75 liked the playlist and 25 did not.
On the other hand, Dylan stated that for every 3 people who liked the playlist, one person did not. This implies that out of every 3 + 1 = 4 people, 3 liked the playlist and 1 did not.
To find the number of people who liked the playlist, we can use the fact that there were 100 friends who listened to it. We can set up the following proportion:
\(75/100 = 3/x\)
Cross-multiplying, we get:
\(75x = 3 * 100\)
Simplifying, we find:
75x = 300
Dividing both sides by 75, we get:
x = 4, there were 4 people who did not like the playlist.In summary, out of the 100 friends who listened to the playlist, 75 liked it and 4 did not.

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Answer:

1) TQ and QR

2) QR

3) Q, S, and B (noncollinear = not on the same line)

The required pressure for the given information is 55.6 N/m².

Pressure is defined as the force exerted per unit area. It can be calculated by dividing the force by the area over which it is spread. In this case, the force is 506 N and the area is 9.1 m², so the pressure can be calculated as follows:

pressure = force / area

= 506 N / 9.1 m²

= 55.6 N/m².

The unit of pressure is N/m² or Pascal (Pa). Therefore, the pressure in this case is 55.6 Pa. This means that for every square meter of area, there is a force of 55.6 N acting on it. The pressure can be used to determine the force required to cause deformation of an object, the amount of gas in a container, and many other physical phenomena.

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The given information is that the length of ZT is 4.8 units. We need to find the length of OT.

However, we don't have any information related to the figure or diagram. Therefore, we cannot provide an exact answer to this question. In addition to that, we need to know the type of measurement that the unit "units" represents. If it is a standard unit of measurement, we can provide an accurate answer to the question. The most common units of measurement are meters, centimeters, and millimeters.

Therefore, we need to know what unit the word "units" represents before providing an answer. Here is the formula to calculate the length of OT: ZT + OT = ZO Therefore, OT = ZO - ZT We need to know the length of ZO to find the length of OT.

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The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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Combining negatively correlated assets with the same expected return results in a portfolio with the same level of expected return but a lower level of risk.

When assets have a negative correlation, their returns tend to move in opposite directions. By combining these assets in a portfolio, their negative correlation offsets each other's risks to some extent. As a result, the overall risk of the portfolio is reduced.

However, the expected return of the portfolio remains the same as the individual assets, assuming they have the same expected return. This is because the negative correlation does not affect the average return of the assets, only their volatility. The diversification benefits provided by negatively correlated assets help to reduce the overall risk of the portfolio, making it less volatile than the individual assets.

Therefore, combining negatively correlated assets with the same expected return results in a portfolio with the same level of expected return but a lower level of risk. This is a desirable outcome for investors as it allows them to achieve a certain level of return while minimizing the overall risk in their investment portfolio.

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Answer:

  area ≈ 9.219 square units

Step-by-step explanation:

You want the approximate area under the curve y = -1/2x² +x +5 on the interval [1.5, 4] using 5 trapezoids.

The interval can be divided into 5 intervals of width ...

  (4 -1.5)/5 = 2.5/5 = 0.5

The "bases" of each trapezoid will be the function values at the ends of the intervals, for example, at x=1.5 and x=2. The "height" of each trapezoid is the width of the sub-interval, 0.5.

The area formula for a trapezoid applies:

  A = 1/2(b1 +b2)h

  A = 1/2(f(x) +f(x +0.5))·0.5 . . . . . for x = 1.5, 2, 2.5, 3, 3.5

The sum of the areas is computed in the attachment as ...

  area under the curve = 9.21875

__

Additional comment

The value of the integral is 445/48 ≈ 9.2708333...

The probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

µ = p

The standard deviation of this sampling distribution of sample proportion is:

σ = √p(1-p)/n

The information provided is:

p = 0.14

n = 41

As the sample size is large, i.e n = 411 > 30. the central limit theorem can be used to approximate the sampling distribution of sampling proportion.

Compute the values of P(p^ - p >0.04) as follows:

P(p^ - p < 0.04) = P(p^-p/σ > 0.04/√0.14(1-0.14)/411

= P(Z>2.33)

= 0.990

Thus the probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990

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Answer:

9 x^2 + 24 x + 16 or (3 x + 4)^2

Step-by-step explanation:

Simplify the following:

(3 x + 4) (3 x + 4)

(3 x + 4) (3 x + 4) = (3 x + 4)^2:

Answer: |

| (3 x + 4)^2

or

Expand the following:

(3 x + 4) (3 x + 4)

(3 x + 4) (3 x + 4) = (3 x + 4)^2:

(3 x + 4)^2

(3 x + 4) (3 x + 4) = (3 x) (3 x) + (3 x) (4) + (4) (3 x) + (4) (4):

3 3 x x + 4 3 x + 4 3 x + 4 4

3 x×3 x = 3×3 x^2:

9 x^2 + 4 3 x + 4 3 x + 4 4

3×3 = 9:

9 x^2 + 4 3 x + 4 3 x + 4 4

4×3 = 12:

9 x^2 + 4 3 x + 12 x + 4 4

4×3 = 12:

9 x^2 + 12 x + 12 x + 4 4

4×4 = 16:

9 x^2 + 12 x + 12 x + 16

Grouping like terms, 9 x^2 + 12 x + 12 x + 16 = 9 x^2 + (12 x + 12 x) + 16:

9 x^2 + (12 x + 12 x) + 16

12 x + 12 x = 24 x:

Answer: |

| 9 x^2 + 24 x + 16

Answer:

80

Step-by-step explanation:

so 77 but you round it to 80 (sorry i dont know how to explain it that well but its 80)

A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

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To find the value of 1/a - b, we need to first find the values of a and b.b. We are given the equation Q3.lf (37-30 sqrt 3)1/3 = a+b sqrt 3.

Let's simplify the expression inside the cube root first:

37 - 30 sqrt 3 = 37 - 30 x 1.732 ≈ 37 - 51.96 ≈ -14.96

So now we have:

Q3.lf (-14.96)1/3 = a+b sqrt 3

To find a and b, we can cube both sides of the equation:

(-14.96) = (a+b sqrt 3)^3

Expanding the right-hand side using the binomial formula, we get:

(-14.96) = a^3 + 3a^2b sqrt 3 + 9ab^2 + 3b^3 sqrt 3

Since sqrt 3 is irrational, we know that the coefficients of sqrt 3 on both sides of the equation must be equal. So we have:

3a^2b + 3b^3 = 0

Dividing both sides by 3b, we get:

a^2 + b^2 = 0

Since both a and b are real, the only solution is a = b = 0.

Therefore, we have:

Q3.lf (-14.96)1/3 = 0

And the value of 1/a - b is undefined, since a = 0.
To find the value of (1/a) - b, given that (37-30√3)^(1/3) = a + b√3, we first need to cube both sides of the equation to eliminate the cube root:

[(37-30√3)^(1/3)]^3 = (a + b√3)^3

Now, we have:

37 - 30√3 = a^3 + 3a^2(b√3) + 3ab^2(3) + b^3(3√3)

Equating the real and imaginary parts, we get:

a^3 + 9ab^2 = 37
3a^2b + 3b^3√3 = 30√3

Now, divide the second equation by 3 to simplify:

a^2b + b^3√3 = 10√3

Now, we have two equations:

1) a^3 + 9ab^2 = 37
2) a^2b + b^3√3 = 10√3

We can solve these equations for a and b, then find the value of (1/a) - b. However, solving this system of equations requires advanced techniques that are beyond the scope of this platform. Nevertheless, the process has been outlined, and solving these equations will provide the desired value of (1/a) - b.

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Answer:

huh?

Step-by-step explanation:

Answer:

Today: Tuesday, 12th January 2021

21.16 PM

\( \tt 5x - 9 > 12\)

\( \tt 5x > 12 + 9\)

\( \tt 5x > 21\)

\( {\orange{\boxed{ \red{\tt x = \frac{21}{5} }}}}\)

The given relation 5x-9>12 represents inequality. the solution of inequality is x > ( 21 / 5).

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given inequality, the relation is 5x-9>12. The solution to inequality be done as:-

5x - 9 > 12

5x > 12 + 9

5x > 21

x > 21 / 5

Therefore, the given relation 5x-9>12 represents inequality. the solution of inequality is x > ( 21 / 5).

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Answer:

1. 15

2. -23

3. -16

Step-by-step explanation:

1. Find h(-8)

h(t) = \(\frac{5}{4}(4 - t)\)

h(-8) = \(\frac{5}{4}(4 -(-8))\)

h(-8) = \(\frac{5}{4}(4+8) =\frac{5}{4}(12)=5(3)=15\)

2. What is the value of g(-3)

g(x) = 4(x - 5) + \(x^{2}\)

g(-3) = 4(-3 - 5) \(-3^{2}\)

g(-3) = 4(-8) + 9

g(-3) = -32 + 9

g(-3) = -23

3. Find f(10)

f(x) = 14 - 3x

f(10) = 14 - 3(10)

f(10) = 14 - 30

f(10) = -16

Answer: 1. 15. 2. -23. 3. -16. 4. 25 and 129. 5. -1/3 and 41. 6. 3.

Step-by-step explanation: Hi there! Let's get started.

For #1 we insert -8 into the function that has h(t) since the first question has h(t) function, so 4 - (-8) is 12, then multiply by 5/4 to get 15.

Keep in mind each question has a corresponding function, just look at which letter matches with which.

For question 2 we insert -3 into the x values of the g function to get -32 + 9, which is -23.

For question 3 we insert 10 to get 14-30 = -16. For #4 we have to insert 5 into g and p functions. First we do g which would equal 4(5-5) + 5^2(or 25)

to get 25. And for p function we do (5+7)^2 - 15 which is 5+7=12, 12^2+144, 144 - 15 = 129.

For #5 we do the same thing but with -9 for r and f functions, for r we do -9+13/-9-3 which equals 4/-12 which is -1/3, for f function we do 14 - -3(-9) which is 14 + 27 which equals 41. And finally, for #6 we do 3+13/3-3 which equals 16/0, but we can't divide by zero, so 3 would be the x value for #6.

Hope this helps!

I would appreciate Brainliest!

The perimeter of the triangle XYZ according to the midsegment theorem is 37

The midsegment theorem states that the segment that is obtained by joining the midpoints of two sides of a triangle is parallel to the third side and it is half the length of the third side of the triangle.

The specified parameters are;

The midpoint of \(\overline{XY}\) = A

The midpoint of \(\overline{YZ}\) = B

The midpoint of \(\overline{XZ}\) = C

The length of segment AC = 5

The length of segment BC = 6

The length of side XZ = 15

The segments AC, BC, and AB are midsegments of the triangle XYZ

According to the midsegment theorem, we get

AC = 0.5 × \(\overline{YZ}\)

BC = 0.5 × \(\overline{XY}\)

AB = 0.5 × \(\overline{XZ}\)

Therefore;

2 × AC = \(\overline{YZ}\)

2 × BC = \(\overline{XY}\)

2 × AB = \(\overline{XZ}\)

\(\overline{YZ}\) = 2 × 5 = 10 (substitution property)

\(\overline{XY}\) = 2 × 6 = 12 (substitution property)

The perimeter of the triangle = \(\overline{YZ}\) + \(\overline{XY}\) + \(\overline{XZ}\)
Plugging in the values, of \(\overline{YZ}\), \(\overline{XY}\), and \(\overline{XZ}\)  we get;

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The equation of a parabola is y²+12x=0.

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix).

Parabola functions are classified into three types: standard form, vertex form, and intercept form (also known as factored).

as per the given question:

We have a vertex at (0,0) and the directrix is x = 3, a line parallel to the y-axis, it must have a focus at (3,0).

The parabola equation represents the locus of a point (x, y) that moves so that its distance from x=3 and (3,0) is equal. As a result, the parabola equation is, An equation of the parabola represents the locus of a point (x, y), which moves so that its distance from x=3 and (−3,0) are equal. Hence, the equation of a parabola is

(x−(−3))² + (y−0)² = (x−3)²

or (x+3)² + y² = (x−3)²

or x² + 6x + 9 + y² = x² − 6x + 9

or y² + 12x =0

Hence, The equation of a parabola is y²+12x=0.

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Answer:

25\(\pi\ m^2\)

Step-by-step explanation:

Given that:

A large circle in the park has its middle part painted.

The circle is divided in 4 equal parts.

Radius of the circle = 10 meters

To find:

Area of each section of the circle, \(A\) = ?

Solution:

Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.

First of all, let us have a look at the formula for area of a circle with given radius \(r\):

\(Area = \pi r^2\)

Here, \(r = 10 m\)

Putting the value in the above formula, we get:

So, area = \(\pi 10^2 = 100\pi\ m^2\)

Now, there are 4 equal parts of the circle, therefore area of each section will be equal.

Area of each section of the circle:

\(\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2\)

Answer:

f(-4) = -7

g(-7) = 9

Step-by-step explanation:

f(x) = 2x + 1

f(-4) = 2(-4) + 1 = -8 + 1 = -7

g(x) = x^2 - 40

g(-7) = (-7)^2 - 40 = 49 - 40 = 9

The expression that will help to calculate the area of the figure is A = (n-6)² and the area will be 25 units² when n = 11.

A term may be a number, a variable, the product of two or more variables, a number and a variable, or any combination of these.

A single term or a collection of phrases can be used to create an algebraic expression.

For instance, 4x and y are the two terms in the formula 4x + y.

So, we have a square as a figure.

The side of the figure is (n - 6).

Now, the expression to find the area of the square will be:

A = (n-6)²

Now, evaluate when n = 11 as follows:

A = (n-6)²

A = (11-6)²

A = (5)²

A = 25 units²

Therefore, the expression that will help to calculate the area of the figure is A = (n-6)² and the area will be 25 units² when n = 11.

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Answer:hey hunny boo it’s 61!✨ hope I helped :)

Step-by-step explanation:

The quotient of the given fractions is 6.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given that, 9/4 divided by 3/8.

When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal. Finding the reciprocal of the second fraction reversing its numerator and denominator is the first step in dividing fractions. Multiply the two numerators after that. Multiply the two denominators after that.

Here, 9/4 ÷ 3/8

= 9/4 × 8/3

= 3 × 2

= 6

Therefore, the quotient is 6.

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Answer:

30-40

Step-by-step explanation:

because on the graph thats where they cross.

To determine Cody's total revenue if he charges $20 for each mailbox, we need to know the number of mailboxes he sells. Let's denote the number of mailboxes as 'n'.

Cody's total revenue can be calculated by multiplying the price per mailbox ($20) by the number of mailboxes sold (n):

Total revenue = Price per mailbox × Number of mailboxes sold

Total revenue = $20 × n

Therefore, Cody's total revenue will be $20n, where 'n' represents the number of mailboxes he sells.

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Answer:

-3.5

Step-by-step explanation:

let x equal the number

we have

\(\frac{4x-4}{3}= -6\\\\4x-4=-18\\4x=-14\\x= -3.5\)

Answer:

30k + k²

Explanation:

First Step:

30 is added to k means : 30 + k

Second Step:

Resulting number multiplied by k means : (30 + k) × k

Results:

30k + k² ___prime number.

The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.

To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula

z = ( x- μ)/ σ

where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get

z = ( 42,000- 40,000)/ 3,000 = 0.67

Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.

thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.

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The correct question is given below-

A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?

Answer: 18 Minutes and 45 Seconds Or 18.75 Minutes

Step-by-step explanation:

The easiest way to do this is to divide 2.5 by 2 to get 1.25

Then we times 1.25 by 15 to get 18.75 minutes

Answer:

it would be the square root of 30 because it doesnt simplify im pretty sure

Step-by-step explanation:

Answer:

hey! the answer is 5.47722557505

Step-by-step explanation:

this is because you just take the square root of 30 :)

a. We get that it will take approximately 108 months, or 9 years, to double the value of the tithe. b. annual interest rate of approximately 5.84% c. approximately $27,714.28.

In finance, interest refers to the cost of borrowing money or the return on invested money. It is the compensation paid by a borrower to a lender for the use of their money or the compensation paid by an institution to an individual or organization for depositing money with them.

a. Using the TVM Solver with the given information, we get:

Present value (PV) = -$35,000 (since it is a tithe, we are starting with a negative value)

Future value (FV) = $70,000 (since we want the tithe to double in value)

Interest rate (I/Y) = 7.75/12 (since the APR is compounded monthly)

Number of periods (N) = ? (this is what we want to find)

Solving for N, we get that it will take approximately 108 months, or 9 years, to double the value of the tithe.

b. Using the compound interest formula, we have:

A = P(1 + r/n)ⁿˣ

where A is the future value, P is the present value, r is the annual interest rate, n is the number of times per year the interest is compounded, and x is the number of years.

Plugging in the given values, we get:

$50,000 = $22,500(1 + r/2)²*¹⁴

Solving for r, we get that an annual interest rate of approximately 5.84% (compounded semi-annually) is required for the $22,500 to accumulate to $50,000 in 14 years.

c. Using the TVM Solver with the given information, we want to solve for the present value (PV):

Future value (FV) = $40,000

Interest rate (I/Y) = 4.25/4 (since the APR is compounded quarterly)

Number of periods (N) = 9

Payment (PMT) = 0 (since there are no regular payments)

Solving for PV, we get that the present value required to return $40,000 in 9 years at 4.25% APR compounded quarterly is approximately $27,714.28.

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Answer: R = 3/7

Step-by-step explanation:

The complete question is:

Erin loves to play sports! She has earned 3 tennis trophies, 4 basketball trophies, 7 soccer trophies, and 1 volleyball trophy.

What is the ratio of Erin's tennis trophies to soccer trophies?

This is simply the quotient between the number of tennis trophies and the number of soccer trophies.

She has 3 tennis trophies and 7 soccer trophies, then the ratio is:

R = 3/7