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4 years ago

Write the following in exponential form. 5∙5∙x∙x∙x∙y 5x^2^y2 2^5x^3y 5^2x^3y

Mathematics

1 answer:

GalinKa [24]4 years ago

5 0

Answer:

$5^2x^3y$

Step-by-step explanation:

There are 2 factors of 5, so you have 5^2

There are 3 factors of x, so you have x^3

There is a single y, so you have y

Answer: $5^2x^3y$

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PLEASE HELP ME

Vinil7 [7]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• tanx = $\frac{sinx}{cosx}$

• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Consider the left side

$\frac{tan^2x-sin^2x}{tan^2x}$

= $\frac{tan^2x}{tan^2x}$ - $\frac{sin^2x}{tan^2x}$

= 1 - cos²x

= sin²x = right side ⇒ verified

3 0

4 years ago

What is slope when talking about math

dolphi86 [110]

When graphing, its how much you rise and run
thats the formula when u have a graph and the question is asking for the slope.
you chose a point, and go down or up however many times it goes to the next point, and you run to the left however many times it gets you to get to that point.
if the line goes downward the slope is therefore negative, and if the line goes upward, the slope is therefore, positive.
m in math is meant to be slope, so $m= \frac{rise}{run}$

7 0

3 years ago

Read 2 more answers

Work out the lengths of sides a and b.

nlexa [21]

Answer:

No solution is possible since you failed to provide the necessary information

Step-by-step explanation:

3 0

3 years ago

For the function y = -2+5sin(pi/12(x-2)), what is the maximum value?

myrzilka [38]

To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))

Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8

Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
</span>

8 0

3 years ago

A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=19, p=0.3)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X \geq 5)$

And we can use the complement rule:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

4 0

3 years ago