ME NEEDS SOME MORE HELP FOR QUESTION 2




also whoever answers this question first I will mark them the brainliest :3

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.

To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.

If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.

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Answer:

For every 5 turkey legs, they sell 2 bowls of rice

Explanation:

A ratio of a to b means that for every a units of a specific object there are b units of another object.

Therefore, if the Turkey Leg Hut sells turkey legs and bowls of rice at a ratio of 5 to 2, the statement that is true is:

For every 5 turkey legs, they sell 2 bowls of rice.

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

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Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

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Answer:c=f-5/9 + 160;

Step-by-step explanation:

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer: It’s A

Step-by-step explanation:

On the interval (3π/2, 2π), both the sine and cosine functions are increasing.

The values of sine and cosine functions at (0, π/2, π, 3π/2, 2π) are as follows:

sin (0) = 0;          cos (0) = 1

sin (π/2) = 1;        cos (π/2) = 0;

sin (π) = 0;          cos (π) = - 1

sin (3π/2) = - 1;   cos (3π/2) = 0

sin (2π) = 0;       cos (2π) = 1

Therefore, it is clear from the above values of sine and cosine that on the interval (3π/2, 2π), both the sine and cosine functions are increasing.

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Step-by-step explanation:

OUT of  35 spins   4 + 15 + 3  = 22   were blue or green or purple

 22/35 probability  = 63%

Answer:

n = 21

Step-by-step explanation:

12 = n - 9

12 + 9 = n - 9 + 9

12 + 9 = n

21 = n

So, the value of n is 21

Answer:

n = 21

Step-by-step explanation:

Let's simplify this.

First, we reorder the terms.

12 = n - 9

n - 9 = 12

Add 9 to both sides.

n = 12 + 9

For now I am going to focus on the right side.

n = 21

Therefore, n = 21 is the answer.

The values of the variables in number 3, in simplest radical form, are:

f = 6;  o = 3.

The simplest radical form, also known as simplified radical form or simplified surd, refers to expressing a square root (√) or other roots in the simplest possible way without any perfect square factors in the root. In other words, it involves reducing the radical expression to its simplest form.

Solving problem 3, we would apply the necessary Trigonometric ratios to find the variables:

sin 60 = opp/hyp

sin 60 = 9√3 / f

f = 9√3 / sin 60

f = 9√3 / √3/2 [sin 60 = √3/2]

f = 9√3 * 2/√3

f = 18/3

f = 6

tan 60 = opp/adj

tan 60 = 9√3 / o

o = 9√3 / tan 60

o = 9√3 / √3 [sin 60 = √3]

o = 9√3 * 1 / √3

o = 9/3

o = 3

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Answer:

o = 9

f = 18

Step-by-step explanation:

Triangle #3 is a right triangle with two of its interior angles measuring 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, this triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #3, the longest leg is 9√3 units.

As "a√3" is the shortest leg, the scale factor "a" is 9.

The side labelled "o" is the shortest leg opposite the 30° angle. Therefore:

\(o = a=9\)

The side labelled "f" is the hypotenuse of the triangle. Therefore:

\(f= 2a = 2 \cdot 9=18\)

Therefore:

1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°

Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.

This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.

The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:

Percentage of pizza eaten = (M° / 360°) * 100%

For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.

Percentage of pizza eaten = (180° / 360°) * 100% = 50%

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The explicit formula of the given geometric sequence is a(n) = 8(1/2)ⁿ⁻¹.

Every term in a geometric series is obtained by multiplying the term before it by the same number aₙ= aₙ₋₁ + d is the general phrase for it. The common ratio is denoted by the number r. Any term in the sequence can be used to find it by dividing it by the word before it.

Any number series in which the ratio of succeeding terms is constant is referred to as a geometric sequence. where r is the proportion shared by all following terms. For instance, "2,6,18,54,162,486,1458,...

We have a sequence: 8, 4, 2, 1

The above sequence represents the geometric sequence with common ratio:

r = 4/8 = 1/2

First term a = 8

nth term:

a(n) = 8(1/2)ⁿ⁻¹

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Answer:

\(y=-\frac{2}{3}x+2\)

Step-by-step explanation:

The formula for equation of a line is \(y=mx+b\) where m is the slope, b is the y-intercept, and (x,y) can represent any point on the line. We calculate the slope using \(\frac{y_2-y_1}{x_2-x_1}\). We are subtracting the y-coordinates in the numerator and the x-coordinates in the denominator.

\(\frac{0-2}{3-0} = -\frac{2}{3}\)

You can subtract the coordinates of your second point from your first point and you will get the same slope. Just be sure not to mix up the order.

Now that we have our slope, we can either pull the y-intercept off the graph; the line crosses the y-axis as y = 2, or we can solve our equation for the value of b.

We can pick any point on the line to solve for b. It is recommended to use one of the intercepts because either the x or y component will be zeroed out. I will use the point (0,2)

\(y = mx + b\\y = -\frac{2}{3}x +b\\2 = (-\frac{2}{3})(0) + b\\b = 2\)

Now we have all the parts of our equation in slope-intercept form.

\(y = -\frac{2}{3}x +2\)

Answer:

\( ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The confidence interval is 95% and the significance level is \(\alpha=1-0.95=0.05\) and \(\alpha/2 =0.025\) and the critical value would be:

\(z_{\alpha/2}= 1.96\)

And the margin of error would be:

\( ME = 1.96 \sqrt{\frac{0.225 (1-0.225)}{240}}= 0.0528\)

Step-by-step explanation:

We have the following info given:

\( n =240\) the sample size selected

\(X=54\) the number of people who lease a car

\(\hat p =\frac{54}{240}= 0.225\) the estimated proportion of people who lease a car

The margin of error is given by:

\( ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The confidence interval is 95% and the significance level is \(\alpha=1-0.95=0.05\) and \(\alpha/2 =0.025\) and the critical value would be:

\(z_{\alpha/2}= 1.96\)

And the margin of error would be:

\( ME = 1.96 \sqrt{\frac{0.225 (1-0.225)}{240}}= 0.0528\)

Answer:

I think the answer is B. The equation has infinitely many solutions.

Step-by-step explanation:

4(3x + 4) = 15x + 12 - 3x + 4

*group like terms so 4(3x+4) = 15x - 3x + 12 + 4

*add similar elements 15x - 3x = 12x

*add the numbers 12 + 4 = 16

*Expand to 12x + 16 - 16 = 12x + 16 - 16

*You simplify 12x = 12x

*Subtract 12x from both sides

*Then Simplify which is 0

Which means Both sides are equal to 0

True for all X

Answer:

Step-by-step explanation:

The answer for hypotenuse is 10 cm

The answer for area is 24 cm^2

Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

The last row of the table will show the total interest paid, which is approximately $243.11.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

To calculate the total interest paid,

we need to first find out how many months it will take to pay off the entire balance.

We can use the following formula to calculate the number of months:

N = -log(1-(r×b/p))/log(1+r)

where N is the number of months, r is the monthly interest rate (which is the annual percentage rate divided by 12), b is the balance, and p is the payment.

In this case,

r = 0.1799/12 = 0.01499 (monthly interest rate), b = $1,800, and p = $125.

Plugging these values into the formula, we get:

N = -log(1-(0.01499 × 1800/125))/log(1+0.01499) ≈ 16.24

So it will take about 16.24 months to pay off the entire balance.

Using a spreadsheet, we can create a table with the following columns:

Month: 1 to 16

Balance: starting with $1,800 and decreasing by $125 each month

Interest: calculated as the monthly interest rate times the balance

Payment: $125

Total Interest: calculated as the sum of the interest for all previous months

The last row of the table will show the total interest paid, which is approximately $243.11.

Therefore, the value is (C) $243.11.

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Answer: Option C is correct $243.11

Step-by-step explanation: I got it right On the test!!!

Answer:

5 mm

Step-by-step explanation:

Given:

A rectangular pyramid

h (height) = 4 mm

l (side length) = 6 mm

Find: s (slant height) - ?

There is a right triangle in the middle

The bottom leg is 3 mm, because it's half the side length of the square

According to that, we can find x by using the Pythagorean theorem:

\( {x}^{2} = {3}^{2} + {4}^{2} = 9 + 16 = 25\)

\(x > 0\)

\(x = \sqrt{25} = 5\)

Answer:

6

3

−

9

2

−

7

Step-by-step explanation:

Combine like terms

−

7

2

−

2

2

+

3

−

3

−

2

+

5

3

−

2

{\color{#c92786}{-7y^{2}}}{\color{#c92786}{-2y^{2}}}+y^{3}-3y-2y+5y^{3}-2y

−7y2−2y2+y3−3y−2y+5y3−2y

−

9

2

+

3

−

3

−

2

+

5

3

−

2

Combine like terms

−

9

2

+

3

−

3

−

2

+

5

3

−

2

-9y^{2}+y^{3}{\color{#c92786}{-3y}}{\color{#c92786}{-2y}}+5y^{3}{\color{#c92786}{-2y}}

−9y2+y3−3y−2y+5y3−2y

−

9

2

+

3

−

7

+

5

3

Combine like terms

−

9

2

+

3

−

7

+

5

3

-9y^{2}+{\color{#c92786}{y^{3}}}-7y+{\color{#c92786}{5y^{3}}}

−9y2+y3−7y+5y3

−

9

2

+

6

3

−

7

Rearrange terms

−

9

2

+

6

3

−

7

{\color{#c92786}{-9y^{2}+6y^{3}-7y}}

−9y2+6y3−7y

6

3

−

9

2

−

7

Solution

6

3

−

9

2

−

7

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer:

1/15

Step-by-step explanation:

no. of students who participate in all of the three activities is 2.

So, the possibility is 2/15 = 1/15

Ans: 1/15

Answer:

B) a local beach.

At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.

Step-by-step explanation:

Hope it helps! =D