Answer:
Step-by-step explanation:
Given:
First Number = 97
Second Number = 
We need to find the product of two numbers in Scientific notation.
Product of two numbers means we need to multiply two number.
Also The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is less than ten and is greater than or equal to one or, 1 ≤ |a| < 10. b is the power of 10 such that the scientific notation is mathematically equivalent to the original number.
Decimal points are moved until there is only one non-zero digit to the left of the decimal point. The decimal number results as a.
Number of decimal point moved needs to be counted. This number is b.
If decimal are moved to the left b is positive.
If decimal are moved to the right b is negative.
If decimal are not moved b = 0.
scientific notation of a number can be written as a x 10^b and read it as "a times 10 to the power of b."
Hence the product is;
Expressing in Scientific Notation form we get
Hence the Answer is .
ANSWER
B. The two middle coefficients add to the correct number but do not multiply to the correct number.
EXPLANATION
The given quadratic trinomial that Tina tries to factor is
Comparing to
we have a=10, b=-13 and c=-3
ac=-3×10=-30
We split the middle term so that their sum is -13.
Tina use
-10,-3
to get
-10x-3x
The sum is -13x alright but the product is not -30.
B is correct.
Answer:
f(-1) = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 1 - x² + x³
f(-1) is <em>x</em> = -1 for the function f(x)
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³
- Exponents: f(-1) = 1 - 1 - 1
- Subtract: f(-1) = -1
Answer:
B
Step-by-step explanation:
V=LxHxW
260=5x8xH
260=40xH
To find H do 260/40
Answer:6.5
Answer:
Check the explantion
Step-by-step explanation:
H(t) represent the height of the ball after t seconds.
1)
In order to figure the maximum height of the ball we must minupulate this equation into a form where we can easily find the maximum height.
We can also see this parabola will be downward concaved because it has a negative coefficent for the t^2 term.
a) Let's Manipulate!
Vertex form is a form where we can easily tell the maximum and minimum points. To get in into Vertex form we just need to complete the sqaure.
Lets reanrage the terms
h(t)= -16t^2+144t
Undo the distrubitive propety
h(t)= -16(t^2-9t+20.25)+324
Add and subtract 324.
h(t) = -16(t-4.5)^2+324
COmplete the square.
b) Almost done!
We can now see that the stuff with the brackets is always positive/zero because any real number sqaured is a positive/zero. But than we multiply the positive stuff by a negative number (-16) so its now all negative.
The only exception is when its zero.
And off course if we add 324 to zero its always going to be greater than 324 + a negative number. To get the first term to be zero we can have t = 4.5.
c) Proove it!
h(4.5) = -16(4.5-4.5)^2+324
=324
d) Double Check by graphing!
(Its a attach screenshote by the way)
e) Answer:
The ball will reach its maximum height after 4.5 seconds.
Hoped this helped!,
JoeLouis2
