1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
Answer:
1) -9.3465 × 10^8
2) 1.6214 × 10^-1
3) 1.33 × 10^-11
Explanation:
When solving arithmetic operations of numbers in scientific notation, there is a strategy that can be used.
First recognize the quotient(division) between the size of the numbers indicated by a multiple of 10 to a certain power. Remember, taking the quotients of like numbers with different powers is the subtraction of powers.
For example, to solve the first expression (problem one):
7.35 x 10^6 – 9.42 x 10^8
Divide 10^8 by 10^6 to get 10^2
So
it is like subtracting 7.35 and 9.42 × 10^2 which is 7.35 - 942, then once this expression is solved, multiply by the lowest multiple of 10 which is 10^6.
7.35 - 942 = -934.65 → -934.65 × 10^6 = (-9.3465 × 10^2) × 10^6 = -9.3465 × 10^8.
Long subtraction may need to be used when dealing with numbers that are far apart. Likewise long addition multiplication or division is used for very big or small numbers.
Anyway for the second expression (problem 2)
Addition in my opinion is much easier because it is really just adding on the bigger number. Subtraction may take a little longer but both processes are all based on the bigger number or the number with the greatest power of the multiple 10.
So 3.14 × 10^-3 + 1.59 × 10^-1
The quotient between 10^-1 and 10^-3 is the the difference between -3 and -1 which is 10^2
So again it is like adding 3.14 and 1.59 × 10^2 which is 3.14 + 159 = 162.14 = 1.6214 × 10^2. Now use the multiple of 10 with the largest contrast which is 10^-3 so 1.6214 × 10^2 × 10^-3 = 1.6214 × 10^(2-3) = 1.6214 × 10^-1.
The set of ordered pairs represents a function. Write a rule that represents the function.
What is m? 45º 90º 180º 270º
need help asap
Answer:
90
Step-by-step explanation:
it looks like it's a right angle
Answer:
The answer is 90 degrees
Step-by-step explanation:
Please help I really need it I am in a timed test I will choose brainliest!
Write the standard form of the equation of a line with a slope of -4 passing through the point (1, -4).
Select one:
a. -4x - y = 0
b. -x - 4y - 15 = 0
c. x + 4y + 15 = 0
d. 4x + y = 0
I think the answer is a.
Step 1: We must determine the equation of the line in slope-intercept form* by solving for b.
[tex]-4 = -4(1) + b\\\\-4 = -4 + b\\\\0 = b[/tex]
Step 2: Now we write the equation in slope-intercept form.
[tex]y = -4x[/tex]
Step 3: We can now change the above equation to standard form by moving variables to one side.
[tex]y = -4x\\\\4x + y = 0[/tex]
Our answer is D. 4x + y = 0.
*Slope-intercept form: y = mx + b.
Find the zeros for the given equation hurry!!!!
Answer:
x = 3 and -1
Step-by-step explanation:
5(x²-2x-3)
(x-3)(x+1)
Answer:
Zero's are: x= 3, -1
Step-by-step explanation:
With factoring, and determining the middle ground, finding the zeroes will come back to this result.
penny reads 10 pages in 1/2
hour. What is the unit rate for pages per hour? For hours per page?
Answer:
she would read 20 pages in 1 whole hour
GUYS PLEASE HELP LIKE I MEAN IT CAN SOMEONE TELL ME THE ANSWER WITH AN EXPLANATION
Answer:
I think its 183 1/3
It's what I figured out & the other answer says the same.
Step-by-step explanation:
You like TommyInnit, too? Poggers! <3
Answer:
183 1/3
Step-by-step explanation:
I'm assuming that x and y are directly proportional.
So anyways:
5.5 divided by 3/4 is 7 1/3.
Because this is directly proportianol, you'll also have to mutiply y by 7 1/3.
So: 25 times 7 1/3 equal to 183 1/3
Hope this helps!
Find the measure of the angle indicated in bold.
Answer Choices:
84o
125o
60o
100o
Answer:
100
Step-by-step explanation:
12x - 4 + 13x + 9 = 180
25x + 5 = 180
25x = 175
x = 7
13(7) + 9 = 100
what is 5,250 ÷ 6 = to? i have been having trouble
Answer:
875
Step-by-step explanation:
Answer:
Simply line it up and divide it.
Then you get the answer:
875
Find the surface area of the prism
Answer:
the answer is 29
Step-by-step explanation:
if u guys can do this it will be awsome
uh?
Step-by-step explanation:
sooo what am i gonna do??
Answer:
Your basically supposed to color the parts based on the answering the 8 questions on your paper.
If you do not have an questions, then just color according to the numbers.
BTW I see the word "MATH" hidden.
Three pumpkins are catapulted at a contest. How much farther does Pumpkin C travel than Pumpkin A? • Pumpkin A travels 0.61 mile. • Pumpkin B travels 0.28 mile farther than Pumpkin A. • Pumpkin B travels 0.06 mile farther than Pumpkin C.
Answer:
0.22 miles
Step-by-step explanation:
Let
A = Distance pumpkin A travels = 0.61 miles
Distance pumpkin B travels is 0.28 mile farther than Pumpkin A
[tex]B=0.28+A\\\Rightarrow B=0.28+0.61\\\Rightarrow B=0.89\ \text{miles}[/tex]
Distance pumpkin B travels is 0.06 miles further than pumpkin C
[tex]B=0.06+C\\\Rightarrow C=B-0.06\\\Rightarrow C=0.89-0.06\\\Rightarrow C=0.83\ \text{miles}[/tex]
To calculate how much farther pumpkin C travels than pumpkin A we have the subtract their distances
[tex]C-A=0.83-0.61=0.22\ \text{miles}[/tex]
So, pumpkin C traveled 0.22 miles more than pumpkin A.
HELP URGENT I AM TIMED PLEASE SOLVE AND EXPLAIN YOUR ANSWER DUE IN 5 MINUTES :)
Answer:
njblhgkc dggh,bn bhjvbhj,n hg cfxzedsetxdrycfuvgibkhjnm
Step-by-step explanation:
The function g(x) is a transfomation of the function f(x). If g(x) = 2(x – 3) 2
f(x) = 2(x + 4) then what translation describes the change from f (x) to g(x)?
2
1
Answer:
881 (-6x)
Step-by-step explanation:
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
Help please!!!! thank you sm!!
Answer:
64 cups
Step-by-step explanation:
An earthworm times 2 cm into the ground each day the earth worm tunnels at about the same place every day how many days will it take the earthworm to tunnel 14 cm
Answer:
7 days
Step-by-step explanation:
Given that:
Distance tunneled into the ground each day = 2cm
The rate is the same everyday ;
Hence, to. Tunnel 14cm into the ground , it will take the earthworm;
1 day = 2cm
x days = 14cm
Cross multiply :
2x = 14
x = 14 /2
x = 7
Hence, it will take 7 days for the earthworm to tunnel 14cm
can someone help me with this?
Answer:
Step-by-step explanation:
If you write 1 instead of y, x would be 5/8 so ratio is 1/5:8=8/5
Circle A has a diameter of approximately 20 inches and an area of approximately an area of 300 in² Circle B has a diameter of approximately 60 inches Which of these could be the area of circle B? A. About 100 in^2 B. About 300 in^2 C. About 900 in^2 D. About 2700 in^2
Answer:
D. About 2700 in^2
Step-by-step explanation:
The area of a circle A = πd²/4 where d = diameter of circle.
A/d² = π/4 = k the proportionality constant.
So, A₁/d₁² = A₂/d₂² Now for circle A, Area = A₁ = 300 in² and diameter = d₁ = 20 inches. For circle B, Area = A₂ = unknown and diameter = d₂ = 60 inches.
So, we have
A₁/d₁² = A₂/d₂²
A₂ = A₁d₂²/d₁²
A₂ = A₁(d₂/d₁)²
substituting the values of the variables, we have
A₂ = 300 in²(60 in/20 in)²
A₂ = 300 in²(3)²
A₂ = 300 in²(9)
A₂ = 2700 in²
So, the area of circle B is about 2700 in²
y=x
y= 11x-10
simultaneous equation
Answer:
y = 1
x = 1
Step-by-step explanation:
If y = x
Replace x with y
y = 11y - 10
y - 11y = -10
-10y = -10
y = 1
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
GEW has angle measures given by m<=5x+6 m<=3x and m
Answer:
(D) 24°
Step-by-step explanation:
(5x + 6)° + (3x)° + (142 - 4x)° = 180°
5x + 6 + 3x + 142 - 4x = 180
4x + 148 = 180
4x = 32
x° = 8°
m∠E = 3×8° = 24°
Una persona ahora en el banco 1000 pesos, el cual le ofrece un interés fijo de 3%. La función que relaciona el dinero ahorrado que recibirá después de x meses de ahorro
Answer:
Interes= [Principal*(1+tasa de interes)^x] - Principal
Step-by-step explanation:
Dada la siguiente información:
Principal= $1,000
Tasa de interes= 3% anual = (0.03/12)= 0.0025 mensual
Número de periodos= x
Para calcular el interés ganado, hay que usa la formula siguiente:
Interes= [Principal*(1+tasa de interes)^x] - Principal
Por ejemplo, para 6 meses:
Interes= [1,000*(1.0025^6)] - 1,000
Interes= $15.09
please please please help me
\(f(x) = \left\{
x + 4 x < 5
8 5 <_ x < 7
2x - 1 7 <_ x <_ 10
\right.\)
For f(x) evaluate the following
a. f(0)
b. F(6)
show all your work
Answer:
Answer: x = 0 and x = ±3. Solution: Write f(x) = g(x) h(x) ... us f (−4) ≈ 5,f (2) ≈ −7,f(0) ≈ 5,f(2) ≈ −8 and f(4) ≈ 6 which also agrees with.
Step-by-step explanation:
Answer: x = 0 and x = ±3. Solution: Write f(x) = g(x) h(x) ... us f (−4) ≈ 5,f (2) ≈ −7,f(0) ≈ 5,f(2) ≈ −8 and f(4) ≈ 6
And what you sed up there was just some words and simols so im prety sure rhis is it
Answer:
Bet.
Step-by-step explanation:
Answer the question please:
The correct answer will be marked as brainliest =)
thanks xoxo
Answer:
The answer is 5^-4.
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
[tex]\frac{1}{5^{4}}[/tex]
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=\frac{1}{a^{n-m}},[/tex] if n >m
[tex]\frac{5^{3}}{5^{7}} = \frac{1}{5^{7-3}}=\frac{1}{5^{4}}[/tex]
hii this is geometry please help!!
Answer:
40
Step-by-step explanation:
The Interior of a triangle adds up to 180. 180 - 90 - 50 = 40
Can someone help me with problems in the image?
Answer:
13.m<9=110 14.m<4=115 15.m<10=70 16.m<11=70 17.m<8=65 18.m<5=65 19.m<3=65 20.m<14=110
Step-by-step explanation:
Will give brainliest!
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s)
Complete the inverse function for the function given below.
(1) = 21 - 4
() =
T +
Answer:
[tex]f^{-1}(x) = x/2 +2[/tex]
Step-by-step explanation:
let [tex]f^{-1} (x)[/tex] = y
then f(y) = x
2y-4 =x
2y =x+4
y= x/2 +2
hence f^{-1} (x) = x/2 +2
Sally spins a fair spinner numbered 1 - 6 and flips a fair coin. What is the probability of obtaining a multiple of 3 and a tail?
Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 200 baseball cards and collects 5 cards per week. After how many weeks will Ryan and Sarah have the same number of cards?
Answer:
i need help on this question too
Step-by-step explanation:
Answer:
I think X=10 but im not for sure.
Step-by-step explanation:
150 (X+10) = 200 (X+5)
150x+1500 200X+1000
-150X -150X
1500 50X+1000
-1000 -1000
500 50X
50 50
10=X
Por un kilo y medio de merluza se ha pagado 21,30 €. A cuanto estaba el kilo?
Lo siento mucho, no hablo muy bien español ... ¡Ojalá pudiera! Sería mucho más útil de esa manera
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
A) 64
B) 128
C) 8
D) 4
Answer:
the anser is 64 cups
Step-by-step explanation:
half gallon is 8 cups and she bought 8 of them so multiply 8 and 8 or 8^2 and you get 64
pls mark brainliest
Answer:
A. 64 cups
Step-by-step explanation:
There are 16 cups per gallon, so a half gallon would be 8 cups. If she bought 8 bottles that means you must take the 8 bottles times the 8 cups per bottle or just 8*8=64. Answer A. is 64 cups.
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Thank you! :-D