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3 years ago

If (5^2)p = 5^12, what is the value of p?

1 answer:

3 0

Divide both sides by 5^2 (which is 25). So p = (5^12)/25. I can't be bothered to plug in into a calculator but be my guest.

You might be interested in

What is 2x times x squared?

tresset_1 [31]

We want to multiply the monomial $2x$ by the monomial $2x^2$ .

Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents: $(a^m)(a^n)=a^{m+n}$ , $(x^2)(x^4)=x^{2+4}=x^6$ . Also, is worth pointing out that the exponent of a variable with no exponent is 1: $x=x^1$ .

Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so $x=1x$ . Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.

Let's apply all of that to our multiplication:

$(2x)(x^2)=(2x^1)(1x^2)=2*1x^{1+2}=2x^3$

We can conclude that 2x times x squared is 2x cubed.

3 0

3 years ago

Read 2 more answers

A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars,

lesantik [10]

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = $x$

Let number of lower deck seats = $y$

Let number of upper deck seats = $z$

As per question statement:

$x+y+z=10000$ ...... (1)

Cost for box seat = $10

Cost for $x$ box seats = 10 $x$

Cost for lower deck seat = $8

Cost for $y$ lower deck seats = 8 $y$

Cost for lower deck seat = $5

Cost for $z$ lower deck seats = 5 $z$

As per question statement:

$10x+8y+5z=70000$ ..... (2)

$z = 4x$ ..... (3)

Putting value of $y$ in (1) and (2):

$x+y+4x=10000\\\Rightarrow 5x+y=10000$ ....... (4)

$10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)$

8 $\times$ (4) - (5):

$10x =$ 10000

$\Rightarrow x = 1000$

By (3):

$z = 4000$

Now, by equation (1):

$y$ = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=938%20%5Ctimes%206" id="TexFormula1" title="938 \times 6" alt="938 \times 6" align="absmiddle"

Assoli18 [71]

938* 6=

5628

The answer s 5628

6 0

3 years ago

Read 2 more answers

Suppose that 37% of college students own cats. If you were to ask random college students if they own a cat what would the proba

Likurg_2 [28]

Using the binomial distribution, the probabilities are given as follows:

a) 0.37 = 37%.

b) 0.5065 = 50.65%.

c) 0.3260 = 32.60%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the fixed parameter is:

p = 0.37.

Item a:

The probability is P(X = 1) when n = 1, hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{1,1}.(0.37)^{1}.(0.63)^{0} = 0.37$

Item b:

The probability is P(X = 3) when n = 3, hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{3,3}.(0.37)^{3}.(0.63)^{0} = 0.5065$

Item c:

The probability is P(X = 2) when n = 4, hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{4,2}.(0.37)^{2}.(0.63)^{2} = 0.3260$

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0

2 years ago

The base of an isosceles triangle is one and a half times the length of the other two sides. A smaller triangle has a perimeter

stira [4]

Answer:

P = 1.5x.

Step-by-step explanation:

Let the length of each side of the first triangle be x, then

Perimeter of this triangle

= 2x + 1.5x

= 3.5x.

So perimeter of smaller triangle is:

P = 1/2 * 3.5x

P = 1,.5x.

5 0

3 years ago