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Anton [14]
3 years ago
15

What is the product (x4)(3x3-2)(4x

Mathematics
1 answer:
Monica [59]3 years ago
7 0

Answer:

12x⁹ + 15x⁸ - 8x⁶ - 10x⁵

Step-by-step explanation:

<u>This is incomplete and should be:  </u>

  • x⁴ • (3x³ - 2) • (4x² + 5x)

<u>Solution with steps</u>:

  • x⁴ • (3x³ - 2) • (4x² + 5x) =
  • x⁵• (3x³ - 2) • (4x + 5) =
  • x⁵• (12x⁴ + 15x³  - 8x - 10) =
  • 12x⁹ + 15x⁸ - 8x⁶ - 10x⁵
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The range is the set of
slavikrds [6]

Answer:The range of a set of data is the difference between the highest and lowest values in the set.

Step-by-step explanation: The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

Hope this helps  :)

7 0
3 years ago
Which of the following is the graph of y=sqr root -x-3
Elan Coil [88]

Answer:

The graph in the attached figure

see the explanation

Step-by-step explanation:

we have

y=\sqrt{-x-3}

we know that

The radicand must be greater than or equal to zero

so

(-x-3)\geq 0

solve for x

Adds 3 both sides

-x\geq 0+3

-x\geq 3

Multiply by -1 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

x\leq -3

so

The domain of the function is the interval (-∞,-3]

For x=-3 ---> the value of y=0

The range is the interval {0,∞)

therefore

The graph in the attached figure

3 0
3 years ago
Identify the common external tangent.<br><br> line r<br> line s<br> segment AB
Oxana [17]
The external tangent is line s
8 0
3 years ago
Read 2 more answers
Peter randomly draws a card from a deck of 24. The odds in favor of his drawing a spade from the cards are 1:3. What is the prob
oee [108]

Answer:

1 /4

Step-by-step explanation:

Given that :

Let :

P(S) = probability of drawing a spade

Odds in favor of drawing a spade = 1:3 ; this could be interpreted as :

P(drawing a spade)/P(not drawing a spade) = 1:3

P(S) / P(S') = 1/ 3

P(S') = 1 - P(S)

P(S) / (1 - P(S)) = 1 / 3

Cross multiply :

3P(S) = 1 - P(S)

Collect like terms

3P(S) + P(S) = 1

4P(S) = 1

P(S) = 1/4

Hence, probability ratio of drawing a spade P(S) = 1/4

8 0
3 years ago
The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given
slavikrds [6]

Answer:

a) \frac{dm}{dt} = -k\cdot m, b) m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }, c) m(t) = 10\cdot e^{-\frac{t}{2438.155} }, d) m(300) \approx 8.842\,g

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

\frac{dm}{dt} = -k\cdot m

b) The general solution is found after separating variables and integrating each sides:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where \tau is the time constant and k = \frac{1}{\tau}

c) The time constant is:

\tau = \frac{1690\,yr}{\ln 2}

\tau = 2438.155\,yr

The particular solution of the differential equation is:

m(t) = 10\cdot e^{-\frac{t}{2438.155} }

d) The amount of radium after 300 years is:

m(300) \approx 8.842\,g

4 0
3 years ago
Read 2 more answers
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