7 of 9 Hom2 If the local Linear approximation of f(x) - 3 sin z + ele at z = 2 is used to find the approximation for $(1.8). then the % error of this approximation is O Between 0% and 5% Between 11% and 15% Between 5% and 10% Hem 3 Item 4 Item 5 Item O Greater than 15% Item

The factors of the equation are \(\rm (x+12)(x-4)\)

Factorization of an algebraic expression means writing the given expression as a product of its factors.

These factors can be numbers, variables, or an algebraic expression.

Given

The equation is

\(\rm x^2+8x-48\)

The factors of the equation are given by;

\(\rm x^2+8x-48\\\\x^2+12x-4x-48\\\\x(x+12)-4(x+12)\\\\(x+12)(x-4)\)

Hence, the factors of the equation are \(\rm (x+12)(x-4)\)/

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Answer:

Acute

Step-by-step explanation:

Answer:

If you are finding out the lower angles they are acute but the top is right

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Answer:

c=5.87g

Step-by-step explanation:

because you know c is total cost and g is grams. 5.87g would be the cost per gram multiplied by the number of grams you need.

Answer:

He earned $852 from the gumballs he sold.

Step-by-step explanation:

It says he sold 20 boxes and there are 45 pieces of candy in each box so you multiply 20 and 45 and you will get 900 so they had sold 900 pieces of candy. And from the lollipops he earned $948 the you divided by 2 cause that is how much each piece cost and that gets you 474, which are how many lollipops he sold. So now that you have the amount of lollipops he sold you have to subtract that from the total amount of candy he had, which is 900, so minus 474 from that and you get 426 pieces of gum that were sold and then multiply that by 2 because it cost 2 dollars for each piece and you get $852.

In  Arithmetic Progression , 56 inches of snowfall will cause the snowplow to be immobile.

What is Arithmetic Progression in math?

Let x inches of snowfall will cause the showplow to be immobile .

By a.p. formula ,

                aₙ = a + ( n - 1) d

                 aₙ= 0 ( show plow's speed is 0 ,miles/hour )

              a = 39

              n = x inches

             d = - 2.5 mile/hour

         0 = 39 + ( n - 1 ) ( -2.5)

            ( n - 1 ) ( -2.5) = -39

              n- 1 = -39/2.5 = 15.6

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Answer:

this is not my level of math sorry i cant help you :(

Step-by-step explanation:

sorry

Given:

The function is

\(h=3+25t-5t^2\)

To find:

The values of t where h is 8 meters.

Solution:

We have,

\(h=3+25t-5t^2\)

Putting h=8, we get

\(8=3+25t-5t^2\)

\(0=3+25t-5t^2-8\)

\(0=-5+25t-5t^2\)

\(0=-5(1-5t+t^2)\)

Dividing both sides by -5 and interchanging the sides, we get

\(1-5t+t^2=0\)

\(t^2-5t+1=0\)

Here, \(a=1,b=-5,c=1\).

Using quadratic formula, we get

\(t=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

\(t=\dfrac{-(-5)\pm \sqrt{(-5)^2-4(1)(1)}}{2(1)}\)

\(t=\dfrac{5\pm \sqrt{25-4}}{2}\)

\(t=\dfrac{5\pm \sqrt{21}}{2}\)

It can be written as

\(t=\dfrac{5-\sqrt{21}}{2}\) and \(t=\dfrac{5+\sqrt{21}}{2}\)

\(t=0.20871215\) and \(t=4.7912878\)

\(t\approx 0.21\) and \(t\approx 4.79\)

Therefore, the required values of t are 0.21 and 4.79.

Answer:

Parabola

Step-by-step explanation:

Answer:

Step-by-step explanation: Xmin:

-10

Xmax:

10

Ymin:

-10

Ymax:

10

Answer:

30

Step-by-step explanation:

1L=1000

6L=?

6×1000= 6000ML

a soup can hold 200ML

6000/200

= 30

Step-by-step explanation:

Jaden has made a total of 6000 ML (6 L x 1000 ML/L = 6000 ML) of corn soup.

To find out how many bowls he can fill, we need to divide the total amount of soup by the amount of soup that can fit in one bowl.

6000 ML ÷ 200 ML/bowl = 30 bowls

Therefore, Jaden can fill 30 bowls with his 6 L of corn soup.

The scenario in which an athlete cuts the time it takes to complete a 10K race by 5% each week represents an exponential function.

An exponential function is a mathematical function in which the independent variable is an exponent. It is characterized by a constant ratio between successive values.

In the given scenarios, the first two options involve a fixed amount or average (monthly rent payments or number of patrons per hour) and do not demonstrate exponential growth or decay. These scenarios can be represented by linear functions.

The third option, where an athlete cuts the time it takes to complete a 10K race by 5% each week, represents exponential decay. The time reduction each week can be expressed as a percentage of the previous week's time, resulting in a constant ratio between successive time values. This is a characteristic of exponential functions.

The fourth option describes the volume of a cube, which is calculated by raising the length of the side to the third power. This is an example of a polynomial function, specifically a cubic function, rather than an exponential function.

Therefore, the scenario in which an athlete cuts the time it takes to complete a 10K race by 5% each week represents an exponential function.

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a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.

The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.

a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".

b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.

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Step 1- Write out the Present Value of Annuity formula:

Where

Step 2- Write out the given values and substitute them into the formula:

Substituting the values into the formula, we have:

Therefore,

Dividing both sides by 72.0260, we have:

Hence, the monthly payment is $327.78.

The total amount T paid is given by:

Hence, the interest I is given by:

Therefore, the monthly payment is $327.78 and the interest paid is $7858.08

Answer:

780

Step-by-step explanation:

35 out of 52 people voted. You’d have to divide the total votes, 525 by the people that voted, so 35 which would equal 15.

Then, multiply 15 by the total of people that didn’t vote, 52, which would equal 780.

Answer:

780

Step-by-step explanation:

An ordered pair is a solution of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.

In mathematics, an equation in two variables represents a relationship between two quantities. An ordered pair consists of two values, typically denoted as (x, y), that represent the coordinates of a point in a two-dimensional plane.

When these values are substituted into the equation, if the equation holds true, then the ordered pair is considered a solution or a solution set to the equation. This means that the relationship described by the equation is satisfied by the values of the ordered pair. In other words, the equation is true when evaluated with the values of the ordered pair.

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Answer:

403+40√3 ft^2

Step-by-step explanation:

(20+√3)(20+√3)

400+20√3+20√3+3

403+40√3

Hopes this helps please mark brainliest

Answer:

It's A

Step-by-step explanation:

I took the assignment :)

We have expressed the decimal number 100 in binary as 1100100 or 01100100 (with leading zero) without an online converter.

In order to express the decimal number 100 in binary, we do the following process:

We continue this process of dividing and finding remainders until we have no more numbers to divide.

The final binary number is 1100100. It has seven digits, which is one less than the eight digits in a byte.

Therefore, we can represent the number 100 in a byte by adding a leading zero, which gives us 01100100.

In summary, we have expressed the decimal number 100 in binary as 1100100 or 01100100 (with leading zero).

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To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.

Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.

Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.

To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:

d/dx (2πr^3) = 6πr^2 = 0

This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.

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Solution

The graph

The vertex of a parabola is the point at the intersection of the parabola and its line of

symmetry

Any other point is a point on the graph, you can choose any desired point on the graph

Answer:

I think the final cost would be:

562.86

Step-by-step explanation:

:))

First scenario: The polynomial function that satisfies the given conditions is f(x) = (x - 3)(x^2 + 4). The real zeros are x = 3, and the complex zeros are x = 2i and x = -2i. The function value f(1) = -10 is also satisfied.

Second scenario: The specific polynomial function is not provided, but it will have real coefficients and the zeros x = -3, x = 8 + 4i, and x = 8 - 4i. The function value f(1) = 260 can be confirmed using a graphing utility.

To find an nth-degree polynomial function with real coefficients that satisfies the given conditions, we can use the fact that complex zeros occur in conjugate pairs.

In the first scenario, we are given that n = 3, and the zeros are 3 and 2i. Since complex zeros occur in conjugate pairs, we know that the third zero must be -2i. We are also given that f(1) = -10.

Using this information, we can construct the polynomial function. Since the zeros are 3, 2i, and -2i, the polynomial must have factors of (x - 3), (x - 2i), and (x + 2i). Multiplying these factors, we get:

f(x) = (x - 3)(x - 2i)(x + 2i)

Expanding and simplifying this expression, we find:

f(x) = (x - 3)(x^2 + 4)

To verify the real zeros and the given function value, we can graph this function using a graphing utility. The graph will show the x-intercepts at x = 3, x = 2i, and x = -2i. Additionally, substituting x = 1 into the function will yield f(1) = -10, as required.

In the second scenario, we are given that n = 3 and the zeros are -3 and 8 + 4i. Again, since complex zeros occur in conjugate pairs, we know that the third zero must be 8 - 4i. We are also given that f(1) = 260.

Using this information, we can construct the polynomial function. The factors will be (x + 3), (x - (8 + 4i)), and (x - (8 - 4i)). Multiplying these factors, we get:

f(x) = (x + 3)(x - (8 + 4i))(x - (8 - 4i))

Expanding and simplifying this expression may be more cumbersome due to the complex numbers involved, but the resulting polynomial will have real coefficients.

To verify the real zeros and the given function value, we can graph this function using a graphing utility. The graph will show the x-intercepts at x = -3, x = 8 + 4i, and x = 8 - 4i. Substituting x = 1 into the function should yield f(1) = 260, as required.

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Answer:

The slope is  

m =5

The y-intercept is  

b =-7 or (0,7)

Step-by-step explanation:

Answer:

300 units

Step-by-step explanation:

Answer:

the correct answer would be p=nRt/v

Step-by-step explanation:

you would devide both sides by v to get the new equation

Answer:

x =5

Step-by-step explanation:

2(5x – 2) – 2x– 2 = 34

Distribute

10x-4-2x-2 = 34

Combine like terms

8x -6 = 34

Add 6 to each side

8x-6+6 = 34+6

8x = 40

Divide by 8

8x/8 = 40/8

x =5

Answer:

x=5

can you also please mark me as brainliest?

The solution to the linear system is unique solution which is  x₁ = 1/6, x₂ = 3/2, and x₃ = 17/6.

The correct answer is option  A.

To solve the given system of linear equations using elementary row operations and back substitution, let's start by representing the augmented coefficient matrix:

[1  -4  5  |  23]

[2   1   1  |  10]

[-3  2  -3 |  -23]

We'll apply row operations to transform this matrix into echelon form:

1. Multiply Row 2 by -2 and add it to Row 1:

[1  -4   5   |  23]

[0   9   -9  |  -6]

[-3  2  -3  |  -23]

2. Multiply Row 3 by 3 and add it to Row 1:

[1  -4  5   |  23]

[0   9  -9  |  -6]

[0   -10 6  |  -68]

3. Multiply Row 2 by 10/9:

[1  -4  5    |  23]

[0   1   -1   |  -2/3]

[0   -10 6  |  -68]

4. Multiply Row 2 by 4 and add it to Row 1:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  -10 6  |  -68]

5. Multiply Row 2 by 10 and add it to Row 3:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  0   -4  |  -34/3]

Now, we have the augmented coefficient matrix in echelon form. Let's solve the system using back substitution:

From Row 3, we can deduce that -4x₃ = -34/3, which simplifies to x₃ = 34/12 = 17/6.

From Row 2, we can substitute the value of x₃ and find that x₂ - x₃ = -2/3, which becomes x₂ - (17/6) = -2/3. Simplifying, we get x₂ = 17/6 - 2/3 = 9/6 = 3/2.

From Row 1, we can substitute the values of x₂ and x₃ and find that x₁ + x₂ = 5/3, which becomes x₁ + 3/2 = 5/3. Simplifying, we get x₁ = 5/3 - 3/2 = 10/6 - 9/6 = 1/6.

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