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natali 33 [55]
3 years ago
9

The function s(V) = describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube w

ith a minimum of 64 cubic centimeters. What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?
Mathematics
1 answer:
Leni [432]3 years ago
5 0

Answer:

s≤4 cm.

Step-by-step explanation:

Let s be side of cube.

As we know that the volume of cube=side×side×side

Here, it is given that the volume of cube = 64 cubic centimeters.

or we can write

side×side×side=64 cubic centimeters

Taking cube root both sides

side= 4 cm

In order to build a cube with a minimum of 64 cubic centimeters,

we can take the value of s≤4 cm.

Hence, the reasonable range for s, the side length is s≤4 cm.

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Which of the following equations describes the graph above?
Orlov [11]

Answer:

No one can help you unless you give us more information.

Step-by-step explanation:

Sorry =( I hope you find the answer somewhere.

4 0
3 years ago
Suppose you have 5 riders and 5 horses, and you want to pair them off so that every rider is assigned one horse (and no horse is
maw [93]

There are 120 ways in which 5  riders and 5 horses can be arranged.

We have,

5 riders and 5 horses,

Now,

We know that,

Now,

Using the arrangement formula of Permutation,

i.e.

The total number of ways ^nN_r = \frac{n!}{(n-r)!},

So,

For n = 5,

And,

r = 5

As we have,

n = r,

So,

Now,

Using the above-mentioned formula of arrangement,

i.e.

The total number of ways ^nN_r = \frac{n!}{(n-r)!},

Now,

Substituting values,

We get,

^5N_5 = \frac{5!}{(5-5)!}

We get,

The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,

So,

There are 120 ways to arrange horses for riders.

Hence we can say that there are 120 ways in which 5  riders and 5 horses can be arranged.

Learn more about arrangements here

brainly.com/question/15032503

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7 0
2 years ago
If A = 50 degrees, B = 62 degrees, and a = 4, find b.<br><br>Round to the nearest tenth.​
____ [38]

Answer:

b \approx 4.6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Pre-Calculus</u>

  • Law of Sines: \frac{sin(A)}{a} = \frac{sin(B)}{b}

Step-by-step explanation:

<u>Step 1: Define</u>

A = 50°

B = 62°

a = 4

<u>Step 2: Solve for </u><em><u>b</u></em>

  1. Substitute [LOS]:                    \frac{sin(50)}{4} = \frac{sin(62)}{b}
  2. Cross-multiply:                       bsin(50) = 4sin(62)
  3. Isolate <em>b</em>:                                 b = \frac{4sin(62)}{sin(50)}
  4. Evaluate:                                 b = 4.61042
  5. Round:                                    b \approx 4.6
7 0
3 years ago
How do you do these two questions?
zubka84 [21]

Answer:

a(i) 0

a(ii) π

b) [0, 4)

Step-by-step explanation:

a(i) ∑ₙ₌₁°° aₙ = π

The series converges, which means lim(n→∞) aₙ = 0.

a(ii) sₙ is the partial sum, so lim(n→∞) sₙ = π.

b) Use ratio test:

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[(3x−6)ⁿ⁺¹ / ((n+1)6ⁿ⁺¹)] / [(3x−6)ⁿ / (n6ⁿ)]│< 1

lim(n→∞)│[(3x−6)ⁿ⁺¹ / ((n+1)6ⁿ⁺¹)] × [(n6ⁿ) / (3x−6)ⁿ]│< 1

lim(n→∞)│(3x−6) n / (6(n+1))│< 1

│(3x−6) / 6│< 1

│3x−6│< 6

-6 < 3x − 6 < 6

0 < 3x < 12

0 < x < 4

Check the endpoints.

If x = 0, ∑ₙ₌₁°° (3(0)−6)ⁿ / (n6ⁿ) = ∑ₙ₌₁°° (−1)ⁿ / n, which converges.

If x = 4, ∑ₙ₌₁°° (3(4)−6)ⁿ / (n6ⁿ) = ∑ₙ₌₁°° 1 / n, which diverges.

So the interval of convergence is [0, 4).

6 0
3 years ago
The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x)= e^-x/100 /100
Georgia [21]

Answer:

Check the explanation

Step-by-step explanation:

The fundamentals

A continuous random variable can take infinite values in the range associated function of that variable. Consider f\left( x \right)f(x) is a function of a continuous random variable within the range \left[ {a,b} \right][a,b] , then the total probability in the range of the function is defined as:

\int\limits_a^b {f\left( x \right)dx} = 1 a∫b​  f(x)dx=1

The probability of the function f\left( x \right)f(x) is always greater than 0. The cumulative distribution function is defined as:

F\left( x \right) = P\left( {X \le x} \right)F(x)=P(X≤x)

The cumulative distribution function for the random variable X has the property,

0 \le F\left( x \right) \le 10≤F(x)≤1

The probability density function for the random variable X has the properties,

\\\begin{array}{c}\\{\rm{ }}f\left( x \right) \ge 0\\\\\int\limits_{ - \infty }^\infty {f\left( x \right)dx} = 1\\\\P\left( E \right) = \int\limits_E {f\left( x \right)dx} \\\end{array} f(x)≥0

Kindly check the attached image below to see the full explanation to the question above.

6 0
4 years ago
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