What’s error in this student’s work?

Answer:

\(83.76 cm^{3}\)

Step-by-step explanation:

Notice the volume of a cone is given by equation

\(Vo=1/3\pi hr^{2}\)
So since the radius is THE DOUBLE of the original value, the volume must be four times (since is squared) the oiriginal value, but since every value is multiplied by 2, the height is also double. So this increase the volume by a factor of 2. So the final volumen is eight times the original volume.

check:

\(Vf=1/3\pi (2h)(2r)^{2}=1/3\pi (2h)4r^{2}=8/3\pi hr^{2}=8Vo\)
So the final volume is 8(10.47)=83.76 \(cm^{3}\)

Answer:

£280

Step-by-step explanation:

The surface area of the box is 2[(50)(50)+(50)(10)+(50)(10)]=7000\) square centimeters.

So, it costs \(7000(0.04)=280\) pounds.

Answer:

B) -5 and 5

Step-by-step explanation:

Integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. One integer is negative and the other is positive.

1. To determine if f(x) = x^4 - 2 satisfies the conditions of the Mean Value Theorem on the closed interval [0, 4], we need to check if f(x) is continuous on [0, 4] and differentiable on (0, 4).

f(x) is continuous on [0, 4] because it is a polynomial, and polynomials are continuous everywhere.

f(x) is differentiable on (0, 4) because it is a polynomial and all polynomials are differentiable everywhere.

Therefore, f(x) satisfies the conditions of the Mean Value Theorem on [0, 4].

To find the value of c that satisfies MVT on the given interval, we use the formula:

f'(c) = (f(4) - f(0)) / (4 - 0)

f'(c) = (4^4 - 2 - 0^4 + 2) / 4

f'(c) = 256 / 4

f'(c) = 64

To find c, we need to solve for x in f'(x) = 64:

f'(x) = 4x^3 = 64

x^3 = 16

x = 2

Therefore, the value of c that satisfies the Mean Value Theorem on [0, 4] is c = 2.

(a) The first derivative of f(x) = ln(1 + x^2) is:

f'(x) = (1 + x^2)^(-1) * 2x

(b) The second derivative of f(x) is:

f''(x) = (-1) * (1 + x^2)^(-2) * 2x + (1 + x^2)^(-1) * 2

f''(x) = -2x / (1 + x^2)^2 + 2 / (1 + x^2)

(c) The graph of f(x) is concave up on the intervals where f''(x) > 0:

f''(x) > 0

-2x / (1 + x^2)^2 + 2 / (1 + x^2) > 0

-2x + 2(1 + x^2) > 0

2x^2 - 2x + 2 > 0

x^2 - x + 1 > 0

This quadratic has no real roots, so f(x) is concave up on the entire domain (-∞, ∞).

(d) The graph of f(x) is concave down on the intervals where f''(x) < 0:

f''(x) < 0

-2x / (1 + x^2)^2 + 2 / (1 + x^2) < 0

-2x + 2(1 + x^2) < 0

2x^2 - 2x + 2 < 0

x^2 - x + 1 < 0

This quadratic has no real roots, so f(x) is never concave down.

(e) To find the points of inflection for the graph of f(x), we need to find the values of x where the concavity changes. Since f(x) is always concave up, there are no points of inflection.

Let the width of each pen be x and the length be y. Then the area of each pen is xy = 800, so y = 800/x. The total amount of fencing needed is the perimeter of both pens plus the length of the taco house:

P = 2x + 2y + 40

P = 2x + 2(800/x) + 40

P' = 2 - 1600/x^2

P' = 0 when x = sqrt(800)

Since P' is negative when x < sqrt(800) and positive when x > sqrt(800), x = sqrt(800) is a local minimum of P.

Therefore, the least amount of fencing needed is:

P = 2(sqrt(800)) + 2(800/sqrt(800)) + 40

P = 4sqrt(200) + 80sqrt(2)

P ≈ 244.5 feet (rounded to one decimal place)

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Answer:Hello the  Answer to your math problem  is attached

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Because when a number is next to a letter you always multiply ( t x 3 ), so the ant is walking three feet per minute which can be described as t x 3 + 6.

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Diego would have to put in 15 hours of labor to make the same amount of money as Mia does in just 6.

The unit method is a technique of challenge where you first measure the value of a specific unit, then multiply a certain value to get the answer. Simply expressed, a minimum unit value is extracted from with a specified multiple using the unit method. For contrast, 40 pens will cost you about 400 rupees, or $1.01. The method used to execute this might be standardized. a solitary nation. anything seems to have a distinctive component. (Mathematics, Algebra) Its capable of integrating and opposite are equivalent. (Molecular Algebra, Quantitative Analysis, Math and science of Matrix or Operators)

given

Diego need to work

105/7

=15$ per hour

150/15

=10$ per hour

Diego would have to put in 15 hours of labor to make the same amount of money as Mia does in just 6.

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Answer:

The percent error of Jack's measurement was 3.6%, to the nearest tenth of a percent. This is calculated by subtracting the actual length (16.6 inches) from the measured length (17.2 inches) and dividing by the actual length, then multiplying by 100.

Step-by-step explanation:

mark as brainliest

Answer:

isnt that the equation? If your looking for the answer to that it's 2.91 x 0.5 = 1.455

Step-by-step explanation:

plz mark brainliest if can

Answer:

Terry sold 31 tacos last Tuesday

Step-by-step explanation:

So 23 more than 5 times the number of tacos, can be kinda difficult.

First, subtract 23 from 178 (155)

Second divide your answer by 5 (155 / 5)

The answer that you get is your final answer

178 - 23

155 / 5

31

Therefore Terry sold 31 tacos last Tuesday

Answer:

3x+28+8=68

3x+36=68

     -36  -36

______________

3x=32

_______(divide by 3)

       3

x=32/3 or 10.6666666667

Answer:

x = 32/3

Step-by-step explanation:

Step-by-step explanation:

start with x which is 6

then plot it

then do y which is 2

and plot

Answer:

Make a grid and put your order pair in the graph

because you would take 6,2 and on the grid go up to 6 and down all the to 2 i hope i helped!

Step-by-step explanation:

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer

the rectangular coordinate is (6.15, 7.88)

Explanation

Given the following points

B = (10, 52 degrees)

B = ( r, theta)

Let r = 10 and theta = 52 degrees

Step 1: Find sin 52 and cos 52

Sin 52 = 0.7880

Cos 52 = 0.6157

Step 2: find the x and y - coordinates

X - coordinate = r x cos 52

y - coordiante = r x sin 52

x - coordiante = 10 x 0.6157

x - coordiante = 6.15

y - coordinate = 10 x 0.7880

y - coordinate = 7.88

Therefore, the rectangular coordinate is (6.15, 7.88)

To calculate the amount of carpentry needed for your bedroom, you should find the area of the bedroom. The answer is A. Area.

When we talk about the amount of carpentry required for a room, we are talking about the number of square feet that need to be covered with carpet. As a result, we'll need to calculate the area of the room to figure out how much carpet we'll need.The area is the amount of space that a two-dimensional object takes up. To calculate the area of a rectangle, multiply the length by the width. The formula for calculating the area of a rectangle is:A = l × wWhere A is the area, l is the length, and w is the width of the rectangle.

For example, if the length of your room is 10 feet and the width is 12 feet, the area of your room will be: A = 10 × 12

= 120 square feet.

To calculate the amount of carpentry needed for your bedroom, you should find the area of the room by multiplying the length by the width.

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The exponential expression for the area in 2021 is given as follows:

A. \(13(1.65)^6\)

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

Hence the function for the area in x years after 2015 is given as follows:

\(y = 13(1.65)^x\)

2021 is six years after 2015, hence the function is given as follows:

\(13(1.65)^6\)

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Answer:

I'm not sure if my answer is correct but anyways.

Step-by-step explanation:

If you drew a triangle and labeled it, that would be easier to determine your answer. So, 145-10=135 and then i guess 145-135=10???

Answer:

Yes, they have the same solution.

Step-by-step explanation:

Both of these equations have the same solution, just different steps.

To solve Ravi's equation, first we use the distributive property.

2(x+14) = 40

Multiply 2 by x and 14

2x + 28 = 40

Subtract 28 from both sides.

2x + 28 - 28 = 40 - 28

2x = 12

Divide by 2 on both sides.

2x/2 = x

12/2 = 6

so x = 6.

Fran's equation is the same equation as Ravi's second step.

Her equation of 2x + 28 = 40 is Ravi's after distributing 2.

Answer:

2(x+14)=40

2(x+14)=40

÷2         ÷2

x+14=20

 -14  -14

x=6

2x+28=40

   -28       -28

2x=12

÷2  ÷2

x=6

I hope this is what you wanted:

The linear system using Cramer's Rule x = Dx / D = 17 / -

To solve the linear system using Cramer's Rule, we need to find the determinants of different matrices.

Given system of equations:

2x + 3y - z = 2 ...(1)

3x - 2y + z = -1 ...(2)

-5x - 4y + 2z = 3 ...(3)

Step 1: Find the determinant of the coefficient matrix (D):

D = |2 3 -1|

|3 -2 1 |

|-5 -4 2|

D = 2(-22 - 1-4) - 3(32 - 1-5) + (-1)(3*-4 - 2*-5)

D = 2(-4 + 4) - 3(6 + 5) - (-1)(-12 + 10)

D = 2(0) - 3(11) + (-1)(-2)

D = 0 - 33 + 2

D = -31

Step 2: Find the determinant of the matrix obtained by replacing the first column of the coefficient matrix with the column on the right-hand side (Dx):

Dx = |2 3 -1|

|-1 -2 1 |

|3 -4 2|

Dx = 2(-22 - 1-4) - 3(-12 - 13) + (-1)(-1*-4 - 2*3)

Dx = 2(-4 + 4) - 3(-2 - 3) + (-1)(4 - 6)

Dx = 2(0) - 3(-5) + (-1)(-2)

Dx = 0 + 15 + 2

Dx = 17

Step 3: Find the determinant of the matrix obtained by replacing the second column of the coefficient matrix with the column on the right-hand side (Dy):

Dy = |2 2 -1|

|3 -1 1 |

|-5 3 2|

Dy = 2(-12 - 13) - 2(32 - 1-5) + (-1)(33 - 2-5)

Dy = 2(-2 - 3) - 2(6 + 5) + (-1)(9 + 10)

Dy = 2(-5) - 2(11) + (-1)(19)

Dy = -10 - 22 - 19

Dy = -51

Step 4: Find the determinant of the matrix obtained by replacing the third column of the coefficient matrix with the column on the right-hand side (Dz):

Dz = |2 3 2 |

|3 -2 -1|

|-5 -4 3 |

Dz = 2(-2*-2 - 3*-4) - 3(3*-2 - 2*-5) + 2(3*-4 - 2*-5)

Dz = 2(4 + 12) - 3(-6 + 10) + 2(-12 + 10)

Dz = 2(16) - 3(4) + 2(-2)

Dz = 32 - 12 - 4

Dz = 16

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When the numbers 48x^2, 64x^4, x, and 36x^2 are in proportion, the value of x is 27.

The given numbers 48x^2, 64x^4, x, and 36x^2 are in proportion. To find the value of x, we can use the concept of proportionality.

In a proportion, the cross products are equal. Therefore, we can set up the following equation:

(48x^2)(36x^2) = (64x^4)(x)

Simplifying the equation:

1728x^4 = 64x^5

To solve for x, we can divide both sides of the equation by x^4:

1728 = 64x

Dividing both sides by 64:

27 = x

Therefore, the value of x in the given proportion is x = 27.

In summary, when the numbers 48x^2, 64x^4, x, and 36x^2 are in proportion, the value of x is 27.

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Answer:

80%

Step-by-step explanation:
64/80 is 0.8, 0.8 is equivalent to 80%

tell me if this is wrong please

Answer:

There are 245 expected defective chips in the batch

Step-by-step explanation:

From the question, we have that in a batch of computer chips, it is expected that a third is defective

Now, in this present batch, there are 735 chips

The number of defective chips is a third of this

Thus, we have the number of defective chips as;

1/3 * 735 = 245 chips

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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Answer:

-1

Step-by-step explanation:

calculate the product 1+2-(9-5)

calculate the sum or difference 1+2-4

calculate the sum or difference -1

Answer:

original weight= 1.25 kg

Step-by-step explanation:

Original weight= 100%

After baking it looses 12% so it becomes 88% (100%- 12%)

so 1.1kg is equivalent to 88%

100% will therefore be 1.25kg

Answer: A

Step-by-step explanation:

Because the terms that are being multiplied have the same base (3) you would simply add the exponents and then make that the exponent of 3.

Add exponents 2/5+-7/5= -5/5 = -1

So that would be 3^-1

Whenever you have a negative exponent, you move it to the bottom to make it positive:

1/(3^1) which is just 1/3 or A

Answer:

1/3

Step-by-step explanation:

Three things to know to do this problem:

To multiply numbers with the same base, add the exponents. See image.

To add fractions with the same denominator (bottom number), keep the bottom number and add the top numbers.

See image.

To "fix" a negative exponent (make it a positive exponent), "push" the whole thing (base and exponent) across a fraction bar. See image.

Answer:

OTHER GUY IS WRONG!!!

Given that,

Each statement describes a transformation of the graph of f(x) = x.

We have to determine,

Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?

According to the question,

Let, The graph f(x) = x,

Where r is the real number which is r >0.

And The graph of g(x) if g(x) = -8f(x),

The value of the r is -8.

The graph which describes the transformation of the given graph in the steps follows all the steps given below.

Hence, The graph of f(x) reflected about the x-axis and stretched vertically by a factor of 8.

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