Natalie tried to evaluate the expression \left( 4^{-3} \cdot 2^{-3} \right)^{0}(4 −3 ⋅2 −3 ) 0 left parenthesis, 4, start superscript, minus, 3, end superscript, dot, 2, start superscript, minus, 3, end superscript, right parenthesis, start superscript, 0, end superscript. \begin{aligned} &\phantom{=}\left( 4^{-3} \cdot 2^{-3} \right)^{0} \\\\ &=\left( 8^{-3}\right)^{0} &\text{Step } 1 \\\\ &= 8^{0} &\text{Step } 2 \\\\ &=0&\text{Step } 3 \end{aligned} =(4 −3 ⋅2 −3 ) 0 =(8 −3 ) 0 =8 0 =0 Step 1 Step 2 Step 3 Did Natalie make a mistake? If so, in which step?
Answers
Given:
The expression is
To find:
The Natalie's mistake.
Solution:
We have,
Using properties of exponents, we get
Therefore, Natalie make a mistake in Step 3. She write instead of
.
Answer:
d
Step-by-step explanation:
Related Questions
Solve the system of equations using substitution. 3x + 2y = 7y = –3x + 11
Suppose that X and Y have the following joint probability function: f(x,y) = { 3x, | 32, if 0 ≤ y ≤1 0, otherwise. a) Find the variance of the random variables X. b) Find the conditional PDF of Y given X.
How do I find the percent of 38% of 50
The side lengths of a triangle are 40, 50, and 80. What are the angle measures in the triangle?a) 30°, 60°, and 90° b) 60°, 60°, and 60° c) 45°, 45°, and 90° d) None of these.
7x + 6y = 31
Answers
The solution is, (1,4) is the solution of the system of equations and choose the correct ordered pair.
4x + 3y = 16
7x + 6y = 31
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
given that,
equation: 1
4x+3y=16
y=(16-4x)/3
equation: 2
7x+6y=31
y=(31-7x)/6
now, we have,
(16-4x)/3 = (31-7x)/6
6(16-4x) = 3(31-7x)
96-24x=93-21x
3=3x
x=1
we get,
4x+3y=16, x=1
4(1)+3y=16
4+3y=16
3y=12
y=4
so, we have,
x=1, y=4
therefore the answer is B (1,4)
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y=(16-4x)/3 y=(31-7x)/6
(16-4x)/3 = (31-7x)/6
6(16-4x) = 3(31-7x)
96-24x=93-21x
3=3x
x=1
4x+3y=16, x=1
4(1)+3y=16
4+3y=16
3y=12
y=4
x=1, y=4 therefore the answer is B (1,4)
Answers
Then you want to add the numerator 5 to 120 to get 125.
Using the denominator 12, and the numerator 125, there is your answer. 125/12.
Hope it wasn't too confusing..
Hope this helped :)
Answer:
125/12
Step-by-step explanation:
First, let's write 10 as a fraction with denominator 12, which is 10=120/12
then 10 5/12 actually means 10+5/12 and now:
120/12+5/12
=125/12
This is because we can add the numerators up if the denominators are the same.
So there you go! Hoped I helped!
Answers
Answers
Answer:
m∠A = 60°
Step-by-step explanation:
Complementary Angles add up to 90°
Step 1: Set up equation
8x + 20 + 7x - 5 = 90
Step 2: Solve for x
15x + 15 = 90
15x = 75
x = 5
Step 3: Find m∠A
m∠A = 8x + 20
m∠A = 8(5) + 20
m∠A = 40 + 20
m∠A = 60°
a. One day, 200 kids’ tickets were purchased. What was the total cost of those tickets?
----------------- answer
Answers
Answer:
$1,050
Step-by-step explanation:
Simply multiply the cost per kid ticket and number of kids:
$5.25 x 200 = $1,050