The length of one side of a square is 15 inches.

Explain how to find the missing exponent given the base and the value

drek231 [11]

Answer:

To find the value of missing exponent, we have to split the number which is in other side of equal sign (which is not having power) as the multiple of base of the missing exponent.

On both sides, powers have the same base, so their exponents must be equal.

Step-by-step explanation:

<h3>Problem 1:</h3>

Write the missing exponent:

25=5^x

Let x be the missing exponent.

To find the value missing exponent, we have to split the number which is in the left side as the multiple of the base of the missing exponent.

That is,

25=5*5 or 5^2

Now,

5^2=5^x

Powers have the same base so their exponent must be equal.

Hence the missing exponent is 2

6 0

2 years ago

What is the greatest common factor of 14x^5+6x^3

almond37 [142]

The final answer is 2x3

5 0

3 years ago

Which relation is a function?( click all that apply)

weeeeeb [17]

A, B, D are functions.
(First, second, and fourth response)
You can see which is function since for everyone input only has one value. You can also use the vertical line test.

7 0

2 years ago

Given the function f(x) = -5|x + 1| + 3, for what values of x is f(x) = -12? O X= -2. x = 1 O x= -2 x = 4 O x = 2. x = 4 O x = 2

puteri [66]

The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3

<h3>What is function?</h3>

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

According to the question,

The given function is

$f(x) = -5|x + 1| + 3$

Here f(x) = -12

Substitute f(x) and solve for x

$- 12 = -5|x + 1| + 3$

By subtracting 3 on both sides

$- 12 - 3 = -5|x + 1| + 3 - 3$

$- 15 = -5|x + 1|$

By dividing -5 on both sides

$3 = |x + 1|$

We get absolute values for the function.

$x + 1 = 3 , x + 1 = -3$

By subtracting 1 on both sides

$x + 1 - 1 = 3 - 1 = 2\\\\x + 1 - 1 = - 3 - 1 = -4\\\\x = 2 , x = - 4$

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3

Learn more about function here: brainly.com/question/12431044

#SPJ1

4 0

1 year ago

A drug company conducts trials of a new vaccine for a rare but usually fatal disease. The company creates a

GalinKa [24]

Answer:

What can be said about the model are;

1) The company predicts 4 failures before success

2) Each trial is independent

3) The probability is the same for each trial

4) Success is defined as preventing the disease

Step-by-step explanation:

The probability of success for the vaccine, p = 0.2

Therefore, the probability that the vaccine is effective and prevents the disease = 0.2

A geometric distribution probability of success is given by the following formula;

P(X = x) = p × q⁽ˣ⁻¹⁾

The expected value, E(Y) = 1/p

The number of failures before success, E(Y) = (1 - p)/p = (1 - 0.2)/0.2 = 4

Where;

q = The probability of a trial failing = 1 - p = 1 - 0.2 = 0.8

q = 1 - p

∴ The e

The geometric model criteria are;

a) Each trial can only have one of two outcomes success or failure

b) The probability of success for each trial is fixed

c) The geometric distribution is concerned with finding how many trials are required to get one success

d) The trials are independent

Therefore, we have;

The number of failures the company predicts before a success = 4 failures

2) The trials are independent

3) Each trial has an equal probability

4) Success is defined by the effectiveness of the vaccine in the prevention of the disease

4 0

2 years ago