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2 years ago

There are many cylinders with a height of 9 inches. Let r represent the

Mathematics

1 answer:

bazaltina [42]2 years ago

4 0

Answer: 1- 9

2-36

3-81

Step-by-step explanation:

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How high is the end of the ladder against the building? Round to the nearest tenth if necessary.

kifflom [539]

H(ft) = √ (13² - 4²) = 12.4

It is a right-angled triangle and the Pythagorean theorem applies.

THEOREMA (by Pythagoras):
Given a right-angled triangle ABCABC as in the figure, then the relation is valida2 + b2 = c2a2 + b2 = c2where cc is the hypotenuse of the triangle and b, ab, a are the cathets.

h(ft) = √ (13² - 4²) = 12.4

6 0

3 years ago

Write an equation to model growth or decay in the following scenario. A stock is declining at a rate of 25% of its value every 2

yawa3891 [41]

The exponential function that models this situation is:

$y(t) = 225(0.75)^{\frac{t}{2}}$

------------------------------------------

A decaying exponential function has the following format:

$y(t) = y(0)(1 - r)^t$

In which:

y(0) is the initial value.
r is the decay rate, as a decimal.

In this problem:

The stock started at $225, thus $y(0) = 225$ .
Declines at a rate of 25% every 2 weeks, thus $r = 0.25, t = \frac{t}{2}$

The equation is:

$y(t) = y(0)(1 - r)^t$

$y(t) = 225(1 - 0.25)^{\frac{t}{2}}$

$y(t) = 225(0.75)^{\frac{t}{2}}$

A similar problem is given at brainly.com/question/24282972

3 0

2 years ago

The polynomial of degree 5, P ( x ) has leading coefficient a=1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of

ser-zykov [4K]

Answer:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$ , for $r_{1} = 0$

Step-by-step explanation:

The general form of quintic-order polynomial is:

$p_{5}(t) = a\cdot x^{5} + b\cdot x^{4} + c\cdot x^{3} + d\cdot x^{2} + e \cdot x + f$

According to the statement of the problem, the polynomial has the following roots:

$p_{5} (t) = (x - r_{1})\cdot (x-3)^{2}\cdot x^{2} \cdot (x+1)$

Then, some algebraic handling is done to expand the polynomial:

$p_{5} (t) = (x - r_{1}) \cdot (x^{3}-6\cdot x^{2}+9\cdot x) \cdot (x+1)\\p_{5} (t) = (x - r_{1}) \cdot (x^{4}-5\cdot x^{3} + 3 \cdot x^{2} + 9 \cdot x)$

$p_{5} (t) = x^{5} - (5+r_{1})\cdot x^{4} + (3 + 5\cdot r_{1})\cdot x^{3} +(9-3\cdot r_{1})\cdot x^{2} - 9 \cdot r_{1}\cdot x$

If $r_{1} = 0$ , then:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$

5 0

3 years ago

Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π. Round your answer to the nearest tenth..

azamat

Answer: 3053.6 in^3

To find the volume of a sphere, you first must identify the formula: (4/3)pi(r)^3

You’re given the radius 9 inches
And you’re also given the pi approximation 3.14.

With that in mind, we can plug those variables in the formula to get:
(4/3)(3.14)(9in)^3 = 3053.63 in^3

And rounded to the tenths place:
3053.6 in^3

7 0

3 years ago

What is the mean for this data set?

Ann [662]

Mean - 26
Mode- 29,6
Median-29

4 0

3 years ago