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Mama L [17]
2 years ago
11

The volume of a cube with side length x is V(x)=x^3. The volume of a cylinder with radius x and height 0.5x is shown in the grap

h. When x=1, which volume is greater?
​

Mathematics
1 answer:
abruzzese [7]2 years ago
5 0

Answer:

  the cylinder volume is greater

Step-by-step explanation:

The volume of a cube with x=1 is ...

  V(1) = 1^3 = 1

The graph shows y ≈ 1.5 for x=1. Since 1.5 > 1, the volume of the cylinder is greater.

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Choose the function whose graph is given by:
katen-ka-za [31]

Answer:

D. y=\tan (x-\pi)+2

Step-by-step explanation:

We are given the graph of the transformed tangent function.

As, we can see that the graph is shifted 2 units upwards.

That is, the parent function is translated 2 units up.

So, the new function will be of the form, y=\tan (x)+2.

Thus, options A and C are not correct.

Moreover, 'If a function f(x) has period P, then the function cf(bx) will have period \frac{P}{|b|}.

Also, form the figure, we see that the period of the graphed function is \pi.

Since, y=\tan (x) have period \pi.

So, function in option B will have period \frac{\pi}{2}, which is not possible.

<em>Further, function in option D have period \pi.</em>

Thus, the equation of the graphed function is, y=\tan (x-\pi)+2.

7 0
2 years ago
Read 2 more answers
In december 1994 a man in ohio decided to deposit all of the 8 million pennies he had been saving for nearly 65 years. (his depo
STatiana [176]
8,000,000 pennies equals $80,000. 1/.05=20
20 x $80,000=$1,600,000 more that the bank was able to lend
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6 0
2 years ago
Roberto wants to display his 18 sports cards in an album. Some pages hold 2 cards and others hold 3 cards. How many different wa
Ratling [72]
<span>65 = number of different arrangements of 2 and 3 card pages such that the total number of card slots equals 18. 416,154,290,872,320,000 = number of different ways of arranging 18 cards on the above 65 different arrangements of page sizes. ===== This is a rather badly worded question in that some assumptions aren't mentioned. The assumptions being: 1. The card's are not interchangeable. So number of possible permutations of the 18 cards is 18!. 2. That all of the pages must be filled. Since the least common multiple of 2 and 3 is 6, that means that 2 pages of 3 cards can only be interchanged with 3 pages of 2 cards. So with that said, we have the following configurations. 6x3 card pages. Only 1 possible configuration. 4x3 cards and 3x2 cards. These pages can be arranged in 7!/4!3! = 35 different ways. 2x3 cards and 6x2 cards. These pages can be arranged in 8!/2!6! = 28 ways 9x2 card pages. These can only be arranged in 1 way. So the total number of possible pages and the orders in which that they can be arranged is 1+35+28+1 = 65 possible combinations. Now for each of those 65 possible ways of placing 2 and 3 card pages such that the total number of card spaces is 18 has to be multiplied by the number of possible ways to arrange 18 cards which is 18! = 6402373705728000. So the total amount of arranging those cards is 6402373705728000 * 65 = 416,154,290,872,320,000</span>
7 0
2 years ago
Y is inversely proportional to x.<br> Complete the table.<br> х<br> 15<br> 6<br> у<br> 5<br> 10
AlexFokin [52]

Answer:

When x = 15, y= 2

When y= 10, x= 3

Step-by-step explanation:

This is a question in inverse proportion. In this proportion, an increase in one quantity would lead to a decrease in the other and vice versa.

We are to complete the table using the relationship between x and y.

Given:

y is inversely proportional to x = y ∝ 1/x

∝ = proportional to

y ∝ 1/x

y = k × 1/x

Where k = constant of proportionality

To understand the relationship between y and x, we need to find the value of k.

y = k × 1/x

From the table,

When x = 6, y = 5

5 = k × 1/6

5 = k/6

k = 6×5 = 30

y = 30 × 1/x

y = 30/x

The above relationship would enable us find the missing parts.

When x = 15, y= ?

y = 30/15

y = 2

When y= 10, x= ?

10 = 30/x

10x = 30

x = 30/10

x= 3

5 0
2 years ago
Tom started an entertainment company. The net value of the company (in thousands of dollars) ttt months after its creation is mo
Furkat [3]

Step-by-step explanation:

Given the expression for the net value of an entertainment company after t months modeled by the equation;

v(t)=4t²-24t-28

1) To write the expression in a factored form, we need to factorize the equation given;

v(t)=4t²-24t-28

divide through by 4

v(t)=t²-6t-7

v(t)= t²-7t+t-7

v(t)= t(t-7)+1(t-7)

v(t)= (t+1)(t-7)

Hence the function in a factored or vertex form is v(t)= (t+1)(t-7)

2) To know the number of months after the company creation that the company reaches its lowest value, we will substitute v(t) = 0 into the factored form of the expression as shown;

v(t)= (t+1)(t-7)

0 = (t+1)(t-7)

(t+1)(t-7) = 0

t+1 = 0 and t-7 = 0

t = -1 and t = 7

But t cannot be negative

Hence t = 7 months

This means that the company reaches its lowest net value after 7 months

8 0
2 years ago
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