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3 years ago

1.) In \large 10^5 the "10" is the exponent/power and the "5" is the base. Is this true or false?

Mathematics

1 answer:

Over [174]3 years ago

4 0

Answer:

False.

Step-by-step explanation:

10 is the base and 5 is the exponent

$10^{5}$

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Which expression is equivalent to -32 to 3/5 power

levacccp [35]

<u>Answer:</u>

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

We are given the following expression and we are to find the simplest form of this expression:

$- 3 2 ^ { \frac { 3 } { 5 } }$

First of all, we will factor the coefficient:

$3 2 = 2 ^ 5$

Rewriting it as:

$- ( 2 ^ 5 ) ^ { \frac { 3 } { 5 } }$

Applying the exponent rule $(a^b)^c = a^{bc}$ to get:

$-2^{5.\frac{3}{5}}=-2^3$

$-2^3=-8$

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3 years ago

Sam intends to roll a six sided cube 100 times. What is the probability model he can use to predict whether or not each roll wil

bekas [8.4K]

The outcomes of rolling fair six sided die is $\{1,2,3,4,5,6\}$ . The prime numbers in the above outcomes are $\{2,3,5\}$ . The probability of not rolling a prime number is $p=\frac{3}{6}= 0.5$ .

Each trial is independent.

In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is

$P(X=x)=C(100,x)p^x(1-p)^{100-x},x=0,1,2,3,...,100$ . Since $p=0.5,1-p=0.5$

$P(X=x)=C(100,x)0.5^x(0.5)^{100-x},x=0,1,2,3,...,100 \\ P(X=x)=C(100,x)(0.5)^{100},x=0,1,2,3,...,100$

8 0

3 years ago

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Find the difference quotient and simplify your answer. f(x) = 7x − x2, f(7 + h) − f(7) h , h ≠ 0

uranmaximum [27]

Whatever is inside of the ( ), simply plug that digit into the x-values for f(x)
So: f(x) = 7x - x^2, and f(7+h) - f(7)
= [7(7+h) - (7+h)^2] - [7(7) - (7)^2]
= [49+7h - 49+14h+h^2] - [49-49]
= 49-49 + 7h+14h + h^2 = h^2 + 21h =
h (h+21), h (h+21) = 0
h=0... But it stated h cannot = 0
So h+21 = 0, h = -21

4 0

3 years ago

Help ASAP Brainliest!

leva [86]

Answer:

(3,-3)

Step-by-step explanation:

8 0

3 years ago

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Please help answer thisq

Julli [10]

Answer:

More than one independent variable being tested.

Step-by-step explanation:

If a student wants to figure out if ONLY salt affects the growth of seeds, the student shouldn't change the amount of sunlight being received.

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3 years ago