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3 years ago

Find the product. (5ab3b) (2ab) PLEASE HELP!!! ASAP!!!

Mathematics

1 answer:

Lostsunrise [7]3 years ago

4 0

Answer:

10a²b²6ab²

Step-by-step explanation:

Distribute the 2ab the other values

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Wires are attached to a pole to make it more secure. The diagram shows one of those wires having a length of 220 feet. The angle

LuckyWell [14K]

The wire, the pole and the segment joining the leg of the pole to the wire in the ground form a right triangle whose hypotenuse is the wire, and the side opposite to the angle 36° is the pole.

By right triangle trigonometry, sin36°=(opposite side)/(hypotenuse.)

Substituting, we have 0.588=(opposite side)/220, thus the length of the opposite side, which represents the length of the pole, is

0.588*220 ft=129.3 ft

3 0

3 years ago

Since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year. Predict th

BaLLatris [955]

Answer:

20,158 cases

Step-by-step explanation:

Let $t=0$ represent year 2010.

We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.

Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.

We can represent this information in an exponential decay function as:

$F(t)=102,390(1-0.15)^t$

$F(t)=102,390(0.85)^t$

To find number of cases in 2020, we will substitute $t=10$ in our decay function as:

$F(10)=102,390(0.85)^{10}$

$F(10)=102,390(0.1968744043407227)$

$F(10)=20,157.970260446597\approx 20,158$

Therefore, 20,158 cases will be reported in 2020.

3 0

3 years ago

Pls help i need help with this question

Lapatulllka [165]

Answer:

slope = 1

Step-by-step explanation:

$\frac{y_{2} -y_{1} }{x_{2}- x_{1} }$

(2,4) (0,2)

$\frac{2-4}{0-2} = \frac{-2}{-2} = 1$

3 0

3 years ago

Read 2 more answers

Historical data for a local manufacturing company show that the average number of defects per product produced is 2. In addition

charle [14.2K]

Answer:

The probability that there will be a total of 7 defects on four units is 0.14.

Step-by-step explanation:

A Poisson distribution describes the probability distribution of number of success in a specified time interval.

The probability distribution function for a Poisson distribution is:

$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}, x=0,1,2,3,...$

Let <em>X</em> = number of defects in a unit produced.

It is provided that there are, on average, 2 defects per unit produced.

Then in 4 units the number of defects is, $(2\times4)=8$ .

Compute the probability of exactly 7 defects in 4 units as follows:

$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}\\P(X=7)=\frac{e^{-8}8^{7}}{7!}\\=\frac{0.0003355\times2097152}{5040}\\ =0.1396\\\approx0.14$

Thus, the probability of exactly 7 defects in 4 units is 0.14.

8 0

3 years ago

What is the equation of the line that is parallel to the line defined by the equation y = 3x + 6 and goes through the point (3,

saw5 [17]

Answer:

Step-by-step explanation:

Parallel lines have the same slope. The slope of the given line is 3. The easy way to do this, the one that uses our logical brains as opposed to our mathematical brain, tells us that since there is only one choice that has a given slope of 3, that is the one that we want. The second choice down is the only one that has a slope of 3.

Mathematically,

$y-2=3(x-3)$ and

$y-2=3x=9$ and

$y=3x-9+2$ so

y = 3x - 7 (the second choice)

8 0

3 years ago