Answers
Answer:
a) 1.6×10⁻⁶
b) 2×10⁷
Step-by-step explanation:
You want the product or quotient in standard form of ...
(8×10⁻³)×(2×10⁻⁴)(6×10²)÷(3×10⁻⁵)ExponentsThe rules of exponents apply:
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
Scientific notationA number is said to be in scientific notation if there is one digit to the left of the decimal point, and the multiplier is expressed to an appropriate power of 10. The power of 10 may need to be adjusted so the decimal point is in the correct place. In general, the power of 10 represents the place value of that most-significant digit.
Standard formIn the US, a number is written in standard form as a sequence of digits with an optional decimal point. Integers are written so the least-significant digit has a place-value of 1.
Elsewhere, a number is written in standard form when it is written in scientific notation.
We have given both forms a number here, so you will need to choose the one that is standard form where you are.
a) (8×10⁻³)×(2×10⁻⁴)The product is (8×2)×10^(-3-4) = 16×10^-7 = 1.6×10^-6
= 0.0000016
b) (6×10²)÷(3×10⁻⁵)The quotient is (6/3)×10^(2-(-5)) = 2×10^7
= 20,000,000
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Related Questions
Find the equation of the line shown
Answers
Answer:
[tex]y=-\frac{1}{4}x+2[/tex]
Step-by-step explanation:
We will use the point slope formula: [tex]y=mx+b[/tex]
We will start by finding the slope([tex]m[/tex]).
The formula for slope is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
So if we just choose 2 random points on the line:
I choose (0,2) and (4,1), we get:
[tex]\frac{1-2}{4-0} = \frac{-1}{4}[/tex]
That's our slope.
Next we need to find the y-intercept([tex]b[/tex]). We can find that by looking at the graph. It is where x=0. So in this case y=2 when x=0.
So in point-slope form the equation is:
[tex]y=-\frac{1}{4}x+2[/tex]
2x- 1 = 7
A= 2
B = 3
C=4
D=5
Answers
Answer:
4
Step-by-step explanation:
All you need to do is plug in each value for x & then solve the equation to see if it equals 7. When a number, like 2, is next to an x you multiply the two of them. So when you substitute a number for x, you multiply it by the 2.
2(3)-1= 5
2(4)-1= 7
2(5)-1=9
NEED HELP ASAP!
Dennis is driving down the East Coast of the United States. He starts in Boston, MA, and drives through Hartford, CT, which is approximately 101 miles away from Boston. He continues on from Hartford to Baltimore, MA.
Write an equation for the length of Dennis' trip in miles in terms of the hours it takes him to drive from Hartford to Baltimore and the speed he drives in miles per hour while driving from Hartford to Baltimore. Describe all variables used and what each coefficient means
Answers
The equation representing the length of Dennis' trip in miles in terms of the time it takes to travel and the speed of Dennis is: d = s×t miles
How are time taken for travel, distance traveled, and the average speed are related?We have this below shown relation between them
[tex]\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Total time taken to travel that distance}= \dfrac{\text{Distance traveled}}{\text{Average speed} }[/tex]
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Let we take:
Distance from Hartford to Baltimore = d milesTime it takes for Dennis to drive from Hartford to Baltimore = t hoursAverage speed of Dennis in the considered drive = s miles per hour.Then, we get:
[tex]s = \dfrac{d}{t}\\\\d = s \times t \: \rm miles[/tex]
Thus, the equation representing the length of Dennis' trip in miles in terms of the time it takes to travel and the speed of Dennis is: d = s×t miles
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What is the percent of increase from 25 to 34?
Answers
(34:25-1)*100 =
136-100 = 36
So the answer would be 36
Write the slope intercept form of the equation. Through (-3, -2) perpendicular to y=-3x
Answers
Answer:
y=1/3x-11
Step-by-step explanation:
Perpendicular to y=-3x
Get the negative reciprocal to find your new slope
1/3x is our new slope
y=mx+b
Plug coordinates in:
-2=-3(-3)+b
-2=9+b
b=-11
how many groups of 5/6 are in 1
Answers
Answer:
1 1/5
Step-by-step explanation:
Want to multiply by the reciprocal to get 1.
5/6 times 6/5 is
5 times 6 in numerator which is 30
6 times 5 in denominator which is 30
So we get 30/30 which is 1.
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Which equation represents a line that passes through (–9, –3) and has a slope of –6? y – 9 = –6(x – 3) y 9 = –6(x 3) y – 3 = –6(x – 9) y 3 = –6(x 9)
Answers
Answer:
Y+3=-6(x+9)
Step-by-step explanation:
Got it right on usa test prep
Click this link to view O*NET’s Work Activities section for Loading Machine Operators. Note that common activities are listed toward the top, and less common activities are listed toward the bottom. According to O*NET, what are some common work activities Loading Machine Operators perform? Select four options. Operating vehicles, mechanized devices, or equipment interacting with computers scheduling work and activities identifying objects, actions, and events inspecting equipment, structures, or material getting information
Answers
Answer:
so it is 12 45
Step-by-step explanation:
Answer:
its actually 1 4 5 6
Step-by-step explanation:
What is the volume of this prism? Enter your answer in the box. cm³ Length = 7 Width = 20 height = 4
Answers
Answer:
The volume is 560
Answer:
the volume of the right rectangular prism is 263.52 cubic centimeters hope it helps
femi went shopping for a new television. the television he wants to buy measures 32 inches diagonally. the length of the television is 24 inches. which measurement is the closest to the length of the height in inches?
Answers
Answer:
768
Step-by-step explanation:
I hope you mean this, if you don't say so
Calculate the circumference and area of this circle (6cm)
Answers
AREA Fomula: A = πr²
where:
R stands for radius.π stands for pi (value is 3.14)Find the Area of a 6 cm radius.
Solved:
A = πr²A = π (6 cm)²A = 3.14 (36 cm)²A = 113.04 cm²CIRCUMFERENCE Formula: 2πr
where:
C stands for circumferenceπ stands for pi (value is 3.14)R stands for radius.Find the Circumference of a 6 cm radius
Solved:
C = 2πr C = 2 (3.14)(6 cm) C = 2 (18.84 cm) C = 37.68cmPlease answer. I’ll mark brainliest
Answers
Answer:
x=48 degrees
Step-by-step explanation:
since two sides are the same, the angles of those sides are the same, so you add 66 twice and subtract from 180.
what is 2x + y - 3z, x = 2/5 , y = 2/3, z = 1/6 what does it equal
Answers
Alina drew a model of a square pyramid. The dimensions of the model are shown in the diagram. pls don't answer with links
A: 2,880 cm3
B: 480 cm3
C: 320 cm3
D: 960 cm3
Answers
Answer:
C
Step-by-step explanation:
Volume of a pyramid = 1/3 base area * height
= 1/3 (8 * 10)(12)
Find the measure of arc MK given the exterior angle is 55
Answers
Answer: 125 degrees
Step-by-step explanation:
Select the correct answer from each drop down menu.
Tracy works at a sporting goods store that sells 18 snowboard models and 6 skate board models. She just got a call from her supplier that one of the models has been discontinued.
The probability that the discontinued model is a snow board is _ .
If you use a spinner divided into four equal sections with two sections for snowboards and two for skateboards to simulate this situation, the probability of a snowboard being the discontinued model is _ .
This result means that the simulation is _ for the situation.
1st blank- 0.25 Or 0.50 Or 0.75
2nd blank-0.25 Or 0.50 Or 0.75
3rd blank- Suitable Or Not suitable
Answers
Answer:
1st blank or 2nd
Step-by-step explanation:
a bug population doubles every 5 days. If you start with 6 bugs, how many bugs will there be in 35 days
Answers
Answer:
768 bugs
Step-by-step explanation:
You can rewrite this problem as a function as time where the bug population is f(x), and x is the number of days since the start.
f(x)=6*2^(x/5)
Here, the 6 represents the number of bugs that you start with, the two shows that they double every day, and the /5 shows that they double every 5 days.
By plugging in 35, you get 6*2^7, which is 768.
Find the value of this expression if x = 6 and y = -1. xy² -5
Answers
Answer:
1
Step-by-step explanation:
6 times (-1)^2 is just 6 so 6-5=1
In his second year, a football player scored two less than twice the number of touchdowns he scored in his rookie year. If t represents the number of touchdowns he scored in his rookie year, write an expression for the number of touchdowns he scored in his second year in factored form.
Answers
Using a system of equations, the expression or the number of touchdowns he scored in his second year is: 2(t - 1)
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In his first year, he scored t touchdowns. In the second, the amount was two less than twice the number of touchdowns he scored in his rookie year, hence the expression is:
2t - 2 = 2(t - 1)
More can be learned about a system of equations at https://brainly.com/question/24342899
In a drawing, there are three circles, four stars, and three triangles. What is the ratio of stars to the total number of shapes? Simplify your answer.
Answers
Answer:
4:10
simplify = 2:5
Which statement describes the relationship between point P and the other points in the scatter plot?
Answers
Answer:
A
Step-by-step explanation:
the graph is mostly going in an upward direction therefore both x and y are increasing.
please help solve this problem
Answers
Answer:
C
Step-by-step explanation:
13/18 is .72222222
.5+.222=.722
10 quarters 17 dimes 40 nickels 15 pennies answer
Answers
If the given quantities are 10 quarters 17 dimes 40 nickels 15 pennies then the total money would be 6.35 dollars.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Quarters are worth .25 of a dollar
10 x .25 = 2.5
Dimes are worth .10 of a dollar
17 x .10 = 1.7
Nickels are worth .05 of a dollar
40 x .05 = 2
Pennies are worth .01 of a dollar
15 x .01 = 0.15
Add this together
2.5 + 1.7 + 2 + 0.15
= 6.35
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What are a domain and range?
Answers
Answer:
The domain and range of function is the set of all possible inputs and outputs of a function respectively.
The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.
The domain and range of any function can be found algebraically or graphically.
A car travels xkm in 3 hours. How far will it travel in 9 hours?
Answers
Answer:
3x km
Step-by-step explanation:
Can somebody please help me !!
Answers
Answer:
I'm pretty sure it's both, but I can see this is a summative exam/test so I'm really sorry if it's wrong.
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :(((((((( this is algebra
Answers
Answer:
2) 4+36x
4) 18m+20
6) -8b-32
8) -6x-24
10) 24p-28
12) 5x+45
Step-by-step explanation:
Help!
Cody is painting the front door of his house. The dimensions of the door are 80 inches by 36 inches by 2 inches. If he paints all of the surfaces how much area will he paint? Explain.
Answers
Answer:
To find out how much area he will paint, you will find the area of all 6 faces.
Each face is in the shape of a rectangle, so use A = lw as your formula.
Front/Back: 80 x 36 = 2880 square inches
2880 square inches x 2 = 5760 square inches
Right/Left Sides: 80 x 2 = 160 square inches
160 square inches x 2 = 320 square inches
Top/Bottom: 36 x 2 = 72 square inches
72 square inches x 2 = 144 square inches
5760 + 320 + 144 = 6224 square inches.
Cody will paint 6224 square inches.
Hope this helps!
Under what operations is the system of polynomials not closed?.
Answers
Answer:
Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication.
...
Polynomials: YES or NO
3x½ NO - exponent is not a whole number
2x-3 NO - exponent is not a whole number. Negative exponent places x3 in denominator.
Step-by-step explanation:
Pooja and Amit are playing a card game with a standard 52 card deck. Pooja will draw a card. If the card she draws is a face card (a jack, queen, or king), she will win $6. If Pooja draws an ace, she will win $4. If any other card is drawn, she will lose $2. The image below shows a standard deck of playing cards.
What is Pooja's expected value of playing this game?
Answers
The probability helps us to know the chances of an event occurring. Pooja's expected value of playing this game is 0.3077.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
There are 12 face cards, therefore, the probability of the getting a face card can be written as,
[tex]\text{Probability of face card }= \dfrac{12}{52} = 0.2308[/tex]
Also, the winning prize for drawing a face card is $6. Therefore, the expected value will be,
[tex]\text{Expected Value(Face)} = \$6 \times 0.2308= $1.3846[/tex]
There are 4 ace cards, therefore, the probability of the getting an ace card can be written as,
[tex]\text{Probability of ace card }= \dfrac{4}{52} = \dfrac{1}{13} = 0.077[/tex]
Also, the winning prize for drawing an ace card is $4. Therefore, the expected value will be,
[tex]\text{Expected Value(Ace)} = \$4 \times 0.077 = $0.3077[/tex]
There are 36 normal cards, therefore, the probability of the getting a normal card can be written as,
[tex]\text{Probability of normal card }= \dfrac{36}{52} = 0.6923[/tex]
Also, the losing prize for drawing a normal card is -$2. Therefore, the expected value will be,
[tex]\text{Expected Value(Normal)} = (-\$2) \times 0.6923 = -$1.3846[/tex]
Thus, Pooja's expected value of playing this game can be written as,
[tex]\rm Expected\ Value = 1.3846 + 0.3077-1.3846 = 0.3077[/tex]
Hence, Pooja's expected value of playing this game is 0.3077.
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