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4 years ago

What is the number in scientific notation? 0.0765 whats the answer please help

Mathematics

1 answer:

LuckyWell [14K]4 years ago

3 0

The number is 7.65 x 10^-2 in scientific notation

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Tammy and Jay go out to dinner. Their total bill, including tax, comes out to $46.14. Once they add tip, they end up spending $5

LUCKY_DIMON [66]

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3 years ago

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3 years ago

Find the ordered triple to represent u in u=3v-2/3w +2z if v=(4,-3,5) w=(2,6,-1) and z=(3,0,4)

marissa [1.9K]

Answer:

u=(14/3 ,-13,23/3)

Step-by-step explanation:

Given

u=3v-2/3 w+2z

And

v=(4,-3,5)

w=(2,6,-1)

z=(3,0,4)

Putting the values of v,w and z

u=3(4,-3,5)-2/3 (2,6,-1)+2(3,0,4)

u=(12,-9,15)-(4/3,12/3,-2/3)+(6,0,8)

=(12,-9,15)-(4/3,4,-2/3)+(6,0,8)

We will perform the addition first..

=(12,-9,15)-(4/3+6 ,4+0,-2/3+8)

= (12,-9,15)-(22/3,4,22/3)

Subtraction will give us:

=(12-22/3 ,-9-4 ,15-22/3)

=(14/3 ,-13,23/3)

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3 years ago

Find an equation of the parabola y = ax2 + bx + c that passes through (0, 1) and is tangent to the line y = 4x − 4 at (1, 0).

larisa86 [58]

We are given the following:
- parabola passes to both (1,0) and (0,1)
 - slope at x = 1 is 4 from the equation of the tangent line 

First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. When x = 0, y = 1. So, c should be equal to 1. The parabola is y = ax^2 + bx + 1 

Now, we can substitute the point (1,0) into the equation,
0 = a(1)^2 + b(1) + 1
0 = a + b + 1
a + b = -1 

The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.
We take the derivative of the equation ,
y = ax^2 + bx + 1
y' = 2ax + b

x = 1, y' = 2
4 = 2a(1) + b
4 = 2a + b 

So, we have two equations and two unknowns, 
2a + b = 4 
a + b = -1

Solving simultaneously,
a = 5 
b = -6

Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .

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3 years ago

What males the set of integers different from the set of whole number ?

Sergeeva-Olga [200]

Integers include negatives and decimals
whole numbers only inlcude counting numbers and 0

integers:2/3, 0.33333333, 94.345345345345..., -99
whole:0,1,2,3,4,5,6,7,8,9....

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4 years ago