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svetoff [14.1K]
4 years ago
15

The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking.assume

that an ants constant off proportionality is 18. If an ant walks for 10 minutes, how far will it travel?
Mathematics
1 answer:
san4es73 [151]4 years ago
7 0

Answer:

d = 3  meters

Step-by-step explanation:

d = rt where d is the distance t is the time and r is the constant of proportionality

d = 18t

Changing 10 minutes to hours

10 minutes * 1 hours / 60 minute = 1/6 hour

d = 18 * 1/6 hour

d = 3  meters

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Given the following probability distribution, what is the expected value of the random variable X? X P(X) 100 .10 150 .20 200 .3
Mekhanik [1.2K]

Answer:

d) 205

Step-by-step explanation:

<u><em>Step(i):-</em></u>

x             :   100      150      200      250      300

p(X=x)    :   0.10     0.20    0.30     0.30      0.10

<u>Step(ii):-</u>

Let 'X' be the discrete random variable

Expected value of the random variable

   E(X) = ∑ x P(X=x)

           =  100 X 0.10 + 150 X 0.20 + 200 X 0.30 +250 X 0.30 + 300 X 0.10

          =   205

<u>Final answer:</u>-

The expected value     E(X) = 205

5 0
4 years ago
Divide. 0.78÷106 <br> 0.00078 <br> 0.000078 <br> 0.0000078 <br> 0.00000078
Crazy boy [7]
0.78 ÷ 106 = 39/5300
= 0.007358490566037

Explanation: Convert 0.78 into a fraction
0.78 = 39/50. Next you do, 39/50 ÷ 106.
4 0
3 years ago
Answer please I’m dying from math
charle [14.2K]

Answer:

\huge\boxed{\text{D)} \  15x^4 + 2x^3 - 8x^2 - 22x - 15}

Step-by-step explanation:

We can solve this multiplication of polynomials by understanding how to multiply these large terms.

To multiply two polynomials together, we must multiply each term by each term in the other polynomial. Each term should be multiplied by another one until it's multiplied by all of the terms in the other expression.

  • <em>We can do this by focusing on one term in the first polynomial and multiplying it by </em><em>all the terms</em><em> in the second polynomial. We'd then repeat this for the remaining terms in the second polynomial.</em>

Let's first start by multiplying the first term of the first polynomial, 3x^2, by all of the terms in the second polynomial. (5x^2+4x+5)

  • 3x^2 \cdot  5x^2 = 15x^4
  • 3x^2 \cdot 4x = 12x^3
  • 3x^2 \cdot 5 = 15x^2

Now, we can add up all these expressions to get the first part of our polynomial. Ordering by exponent, our expression is now

  • \displaystyle 15x^4 + 12x^3 + 15x^2

Now let's do the same with the second term (-2x) and the third term (-3).

  • -2x \cdot 5x^2 = -10x^3  
  • -2x \cdot 4x = -8x^2
  • -2x \cdot 5 = -10x
  • Adding on to our original expression: \displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 10x

  • -3 \cdot 5x^2 = -15x^2
  • -3 \cdot 4x = -12x
  • -3 \cdot 5 = -15
  • Adding on to our original expression: \displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 15x^2 - 10x - 12x - 15

Phew, that's one big polynomial! We can simplify it by combining like terms. We can combine terms that share the same exponent and combine them via their coefficients.

  • 12x^3 - 10x^3 = 2x^3
  • 15x^2 - 8x^2 - 15x^2 = -8x^2
  • -10x - 12x = -22x

This simplifies our expression down to 15x^4 + 2x^3 - 8x^2 - 22x - 15.

Hope this helped!

7 0
3 years ago
Read 2 more answers
Graph the relation and tell whether it is a function (1,3) (2,3) (-1,4) (|-1), (-3,2)
kramer

Answer:

no

Step-by-step explanation: does not pass the vertical line test

3 0
3 years ago
What’s the absolute value of 3
RSB [31]

Answer: 3

Explanation: Absolute value means <em>distance from zero</em> on a number line. So far the absolute value of 3, we know that 3 is 3 units from zero on a number line so the absolute value of 3 is 3.

4 0
4 years ago
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