Will doubling the dimensions of a cone double its volume?

Answers

Answer 1

Answer: No it would make it roughly 8 times bigger :)

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If f (x) = 3x + 2 and g(x) = x^2 + 1 which expression is equivalent to ( f o g) (x)

Answers

Answer:

( f o g) (x) = 3x²+5

Step-by-step explanation:

We have given two functions :

f (x) = 3x + 2

g(x) = x² + 1

We have to find ( f o g) (x) =?

( f o g) (x) = (f(g(x))

Putting the values of functions in above formula.

( f o g) (x) = 3(x²+1)+2

( f o g) (x) = 3x²+3+2

Adding like terms,we have

( f o g) (x) = 3x²+5

( f o g) (x) = 3x²+5 is the answer.

Answer: (f o g)(x)= $3x^(2)+5$

Step-by-step explanation:

To solve this problem you must apply the following proccedure:

(f o g)(x) indicates that you must substitute the function g(x) into the function f(x).

Therefore, you have:

(f o g)(x)= $3(x^(2)+1) +2$

Now, you must simplify it, as it is shown below:

Apply the distributive property and add the like terms:

(f o g)(x)= $3x^(2)+3+2$

(f o g)(x)= $3x^(2)+5$

max said that 36594 is less than 5980 because 3 is less then 5 describe max's error and give the correct answer

Answers

He was wrong because, although three is greater than five, the value of the three is in the ten thousands place, while the five is in the thousands place. Therefore, the correct answer would be that 36594 is greater than 5980.

Explain the steps you would take to write 36/10 as a decimal

Answers

1. Multiply 36/10*10/10 because the denominator needs to be 100 (because %= 100)

example: 36/10*10/10=360/100

2. now you have your answer :D

Hope this helps!

Kathleen makes 144 cupcakes each week. Of these she sales 25 each week and gives away the rest. Write a linear function that represents the number of cupcakes Kathleen has given away over time.

Answers

f(x) = 119x is the function that represents the number of cupcakes Kathleen has given away over time

Solution:

Given that,

Kathleen makes 144 cupcakes each week

Of these she sales 25 each week and gives away the rest

To find: Linear function that represents the number of cupcakes Kathleen has given away over time

Let "x" be the number of weeks

Number of cakes given away = 144 - 25 = 119

Thus, number of cupcakes Kathleen has given away over "x" weeks is given as:

f(x) = 119x

Where, f(x) is the number of cupcakes Kathleen has given away over "x" weeks

Final answer:

The linear function representing the number of cupcakes Kathleen gives away each week is y = 119x, where x represents weeks and y the total number of cupcakes given away.

Explanation:

The problem is asking for a linear function that represents the number of cupcakes Kathleen gives away each week. Kathleen makes 144 cupcakes every week and sells 25 of them. The rest, she gives away.

Therefore, the number of cupcakes she gives away each week is 144 - 25 = 119. If we let x represent weeks and y the total number of cupcakes given away, the linear function we're looking for will be y = 119x. The slope represented by 119 signifies the number of cupcakes given away weekly. The x-axis signifies time (in weeks) and the y-axis signifies the cumulative number of cupcakes given away.

Learn more about Linear Function here:

brainly.com/question/31353350

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50 POINTS! Vectors u, v, and w are shown in the graph. What are the magnitude and direction of u + v + w? Round the magnitude to the thousandths place and the direction to the nearest degree.

Answers

Answer:

C) 48.786, 152°

Step-by-step explanation:

To add the vectors u, v and w, we first need to rewrite each vector in component form (where vectors are represented using the unit vectors i and j along the x and y axes).

The (x, y) components of a vector, given its magnitude (r) and direction (θ), are (r cos θ, r sin θ), where θ is measured in the anticlockwise direction from the positive x-axis.

Every vector in two dimensions is made up of horizontal and vertical components, so any vector can be expressed as a sum of i and j unit vectors. Therefore, the i + y form of a vector is:

(r cos θ) i + (r sin θ) j

So, the component form of the given vectors are:

$\mathbf{u}=80 \cos 230^(\circ)\textbf{i}+80 \sin 230^\circ}\textbf{j}$

$\mathbf{v}=60 \cos 120^(\circ)\textbf{i}+60 \sin 120^\circ}\textbf{j}$

$\mathbf{w}=50 \cos 40^(\circ)\textbf{i}+50 \sin 40^\circ}\textbf{j}$

Sum the vectors:

$\mathbf{R}=\mathbf{u}+\mathbf{v}+\mathbf{w}\n\n\mathbf{R}=(80 \cos 230^(\circ)+60 \cos 120^(\circ)+50 \cos 40^(\circ))\textbf{i}+(80 \sin 230^\circ}+60 \sin 120^\circ}+50 \sin 40^\circ})\:\textbf{j}\n\n\mathbf{R}=-43.1207866\:\textbf{i}+22.8173493\:\textbf{j}$

$\textsf{For a vector\;\;$\mathbf{a} = x\mathbf{i} + y\mathbf{j}$, its magnitude is\;\;$||\mathbf{a}|| = √(x^2+y^2)$.}$

Calculate the magnitude of the resultant vector ||R||:

$\mathbf{||R||}=√((-43.1207866)^2+(22.8173493)^2)\n\n\mathbf{||R||}=48.7855887...\n\n\mathbf{||R||}=48.786$

The direction θ can be found by finding the angle with the horizontal, which is given by:

$\boxed{\theta=\tan^(-1)\left((y)/(x)\right)}$

As the resultant vector is in quadrant II (since the i component is negative and the j component is positive), we need to add 180° to the value of tan⁻¹(y/x). Therefore:

$\theta=\tan^(-1)\left((22.8173493)/(-43.1207866)\right)+180^(\circ)$

$\theta=-27.8855396+180^(\circ)$

$\theta=152.114460^(\circ)$

$\theta=152^(\circ)\; \sf (nearest\;degree)$

Therefore:

Magnitude = 48.786
Direction = 152°

The answer is c :48.786; 152°

What is 1 3/4 x 6 2/3

Answers

for this question you can say:
1 3/4 = 7/4
and
6 2/3 = 20/3
so now you should say:
7/4 * 20/3 = 140/12 = 70/6 = 35/3
and thats the simplest form :)))
I hope this is helpful
have a nice day

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