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3 years ago

Multiply the polynomials (4x^2+3x+7(8x-5)

Mathematics

1 answer:

mel-nik [20]3 years ago

3 0

Answer:

32x^3 + 4x^2 + 41x - 35

Step-by-step explanation:

Multiply each of the terms in bracket 1 with those in bracket 2.

4x^2 x 8x = 32x^3

4x^2 x -5 = -20x^2

3x x 8x = 24x^2

3x x -5 = - 15x

7 x 8x = 56x

7 x -5 = -35

Now, put them together and simplify:

32x^3 - 20x^2 + 24x^2 - 15x + 56x - 35

After simplifying:

32x^3 + 4x^2 + 41x - 35

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The low temperature on Monday was 16°F. On Tuesday, the low was 18°F cooler. On Wednesday, the low temperature was –4 times Tues

drek231 [11]

Answer:

$-4(16-18)$ , $[16 + (-18)](-4)$

Step-by-step explanation:

Given: The low temperature on Monday was 16°F. The low temperature on Tuesday was 18°F cooler. The low temperature on Wednesday was –4 times Tuesday’s temperature.

To find: expression that can be used to describe the low temperature on Wednesday

Solution:

Temperature on Monday = 16°F

So,

Temperature on Tuesday = $(16-18)\°F$

Temperature on Wednesday = $-4(16-18)\°F$

So, expression $-4(16-18)=(16-18)(-4)$ can be used to describe the low temperature on Wednesday.

Also,

$(16-18)(-4)=[16 + (-18)](-4)\,\,\left \{\because (a-b)=\left [ a+(-b) \right ] \right \}$

So, expression $[16 + (-18)](-4)$ also represent temperature on Wednesday.

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4 years ago

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Please assist me with these problems and show the work: Part 2 6. The angle of elevation of the sun is 68° when a tree casts a s

Novay_Z [31]

Answer: 6) 35 meters 7) Ф = 10°

<u>Step-by-step explanation:</u>

$6.\quad \tan\ 68^o=\dfrac{x}{14.3}\\\\\\.\quad 14.3 \tan\ 68^o=x\\\\.\quad 35\ meters =x$

$7.\quad \sin \theta =\dfrac{0.7}{4.2}\\\\\\.\qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{1}{6}\bigg)\\\\\\,\qquad \quad \theta =10^o$

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4 years ago

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The patel family went to a festival. the family is made up of 2 adults and 3 children. admission to the festival is $22.00 for a

MArishka [77]

Answer:$89.00

Step-by-step explanation:22 times 2 is 44.

15 times 3 is 45.

44 plus 45 is 89

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2 years ago

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3√10 x 2√15 = <br> i need the steps too

Reika [66]

Answer:

it's 0

Step-by-step explanation:

Simplify 3√a0x2√15

3√1*0*x*2√1*5

apply radical rule √a√a=a

√1√1=1

=3.0.2.1.5x

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4 years ago

From past experience, a company has found that in carton of transistors: 92% contain no defective transistors 3% contain one def

jasenka [17]

Answer:

$E(X) = 0*0.92 + 1*0.03 +2*0.03 +3*0.02 = 0.1500$

In order to find the variance we need to find first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 0^2*0.92 + 1^2*0.03 +2^2*0.03 +3^2*0.02 = 0.3300$

The variance is calculated with this formula:

$Var(X) = E(X^2) -[E(X)]^2 = 0.33 -(0.15)^2 = 0.3075$

And the standard deviation is just the square root of the variance and we got:

$Sd(X) = \sqrt{0.3075}= 0.5545$

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

Solution to the problem

LEt X the random variable who represent the number of defective transistors. For this case we have the following probability distribution for X

X 0 1 2 3

P(X) 0.92 0.03 0.03 0.02

We can calculate the expected value with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) = 0*0.92 + 1*0.03 +2*0.03 +3*0.02 = 0.1500$

In order to find the variance we need to find first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 0^2*0.92 + 1^2*0.03 +2^2*0.03 +3^2*0.02 = 0.3300$

The variance is calculated with this formula:

$Var(X) = E(X^2) -[E(X)]^2 = 0.33 -(0.15)^2 = 0.3075$

And the standard deviation is just the square root of the variance and we got:

$Sd(X) = \sqrt{0.3075}= 0.5545$

8 0

4 years ago