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3 years ago

What is the shape of a cross section that is perpendicular to the base of a cylinder?

Mathematics

2 answers:

Serjik [45]3 years ago

7 0

A.) rectangle would be the correct answer

Tpy6a [65]3 years ago

7 0

A) rectangle is the correct answer

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8 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

djverab [1.8K]

Answer:

<em>The correct answer choice is: B</em>

Step-by-step explanation:

<u>Culture A</u>

Initial number of cells = 1000

The number of cells is raised by 200 each day and every day thereafter.

So, the number of cells raised in one month(30 days) $=200\times 30=6000$

Thus, the total number of cells in culture A at the end of one month will be: $1000+6000=7000$

<u>Culture B</u>

Initial number of cells = 1000

The number of cells is increased by 8% each day and every day thereafter.

<em>Formula for exponential growth is:</em> $A=P(1+r)^t$ , where $P=$ Initial amount, $A=$ Final amount, $r=$ Rate of growth in decimal form and $t=$ Time duration.

Using the above formula, the number of cells after 30 days will be.....

$A= 1000(1+0.08)^3^0\\ \\ A=1000(1.08)^3^0= 10062.656...$

That means, Culture B is more effective in promoting cell growth.

7 0

3 years ago

(1 point) If p(x) and (x) are arbitrary polynomials of degree at most 2, then the mapping =p(-1)q(-1) + p(070) +p(3)q(3) defines

Ainat [17]

If p(x) and q(x) are arbitrary polynomials of degree at most 2 then

||p||||q|| = 26( $\sqrt{640}$ ) and angle between p(x) and q(x) is 0.233.

Given that

<p,q> = p(-1)q(-1) + p(0) q(0) + p(3)q(3)

and p(x) = 2x²+ 6 , q(x)= 4x²-4x

then the values of p and q at x = -1,0,3 are given as;

x = -1,

p(-1) = 2(-1)² + 6 = 8 , q(-1) = 4(-1)² - 4(-1) = 8

x = 0,

p(0) = 2(0)² + 6 = 6 , q(0) = 4(0)² - 4(0) = 0

x = 3,

p(3) = 2(3)² + 6 = 24 , q(3) = 4(3)²- 4(3) = 24.

<p,q> = p(-1)q(-1) + p(0)q(0) + p(3)q(3)

= (8)(8) + (6)(0) + 24(24)

= 64 + 0 + 576

<p,q> = 640

Now we have to find ||p|| ||q||, for this we'll find ||p|| and ||q||

||p|| = $\sqrt{ < p,p > }$

= $\sqrt{8(8) + 6(6) + 24(24)}$

= $\sqrt{676}$

||p|| = 26

and

||q|| = $\sqrt{ < q,q > }$

= $\sqrt{8(8) + 0(0) + 24(24)}$

||q|| = $\sqrt{640}$

∴||p||||q|| = 26( $\sqrt{640\\$ )

Now we have to find angle between p(x) and q(x),

∴ α = cos⁻¹ $\frac{ < p,q > }{||p||||q||}$

= cos ⁻¹ $\frac{640}{26(\sqrt{640}) }$

= cos ⁻¹ $\frac{4\sqrt{10} }{13}$

α = 13.34°

In radian

α = 0.233.

To know more about Inner product here

brainly.com/question/14185022

#SPJ4

5 0

1 year ago

Find the 76th term of the arithmetic sequence 16, 14, 12, ...<br> I need help pls

Alona [7]

Answer:

<h2>your answer is like this</h2>

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Story Problems

Gnom [1K]

Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars
We have Lesley's purchase: 4x+2y=13.50
And Landon's: 1x+5y=17.55
We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55
We add this four times to Lesley's purchase to eliminate the x variable.
2y-20y=13.50-70.2
-18y=-56.7
y = $3.15 = Price of box of granola bars

Plug back into Landon's purchase to solve for pretzels.
x+5*3.15=17.55
x+15.75=17.55
x = $1.80 = price of bag of pretzels

Problem 4.
Let w = number of wood bats sold
Let m = number of metal bats sold

From sales information we have: w + m = 23
24w+30m=606
Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.
24*(23-m)+30m=606
552-24m+30m=606
6m=54
m=9 = number of metal bats sold
Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.

6 0

3 years ago

Read 2 more answers

Tania creates a chain letter and sends it to

Troyanec [42]

Answer:

Step-by-step explanation:

Download pdf

7 0

3 years ago