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.
How do you figure this out? I am having a hard time. The variables x and y are related to proportionally. When x = 8, y = 20. Find y when x = 80.
When x = 80, y
Answer:
200
Step-by-step explanation:
(80×20)/8
y is equal to 200
State the slope and y-intercept of the graph of y=−25x+2
Answer:
slope=-25 y-intercept=2
Step-by-step explanation:
Answer: Slope=-25
y-int=2
Step-by-step explanation: y=mx+b, m is the slope and b is the y-int. The slope is the number in front of x like -25x that is -25. The y-int is the next to the slope which is 2.
Find the value of x and y.
Answer:
I believe it is A......
Answer:
C.)
Step-by-step explanation:
180 = 6x + (2x - 32)
212 = 8x
26.5 = x
y = 2x - 32
y = 21
In the year 2007, a company made $6.6 million in profit. For each consecutive year after that, their profit increased by 13%. How much would the company's profit be in the year 2010, to the nearest tenth of a million dollars?
Answer:
$9.5 million
Step-by-step explanation:
Profits = $6.6 million
Each year increase = 13% = 0.13
2007 - 2010 = 3 years
Profits = 6.6(1 + .13)^3
= 6.6(1.13)^3
= 6.6 × 1.442896
= $9.5231202 million
Approximately $9.5 million to the tenths of a million dollars
Simply the expression 7y+4x+4-2x+8
ANSWER NEEDED ???????
How do I solve this equation and check the solutions?
Answer:
10+√3=4x²
Step-by-step explanation:
Answer:
{12}
Step-by-step explanation:
isolate the radical expression
[tex]\sqrt{3x} = x-6[/tex]
raise both sides to the index of the radical in this case 2
[tex](\sqrt{3x} )^{2} = (x-6)^2[/tex]
[tex]3x = (x-6)^2[/tex]
foil the right hand side or multiply (x-6)(x-6)
[tex]3x = x^{2} -6x-6x+36[/tex]
subtract 3x from both sides and combine like terms
[tex]0=x^{2} -15x+36[/tex]
factor
[tex]0=(x-12)(x-3)[/tex]
set each factor equal to zero and solve for x
x - 12 = 0 and x - 3 = 0
x = 12 and x = 3
Check each answer by plugging them individually into the original equation if the come out true they are a solution.
Check :
[tex]\sqrt{3(12)}+10=12+4\\\sqrt{36}+10 = 8\\6+10 = 16\\16=16[/tex] [tex]\sqrt{3(3)}+10=3+4\\\sqrt{9}+10=7\\3+10=7\\13\neq 7[/tex]
So the only solution is 12.
PLEASE ANSWER I AM ON A TIMED TEST
What value of b will cause the system to have an
infinite number of solutions?
y = 6x - b
-3x+ 1/2=-3
b =
A 2
B 4
C 6
D 8
The cost, in dollars, of cellular phone service with Econo-phone is given by C = 0.18x + 14.55, where x is the number of minutes used in one month.
a.
0.18 signifies the cost per minute, and 14.55 signifies the monthly service charge.
c.
14.55 signifies the cost per minute, and 0.18 signifies the monthly service charge.
b.
0.18 signifies the hourly phone rent, and 14.55 signifies the cost of the hardware.
d.
14.55 signifies the total phone bill, and 0.18 signifies the number of minutes used.
Answer:the answer is A
Step-by-step explanation:i just took the test
Answer: (A.)
Step-by-step explanation: Hope This Helps!
y = 4x + 2 :) help please
Answer:
This equation is already complete to its maximum stage.
Step-by-step explanation:
If you want other possibilities of this equation here:
y - 2 = 4x
4x = y - 2
x = [tex]\frac{y - 2}{4}[/tex]
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!
Answer: Not enough info
Step-by-step explanation:
Given the measure of two of the angles, find the measure of the third angle.
P.
S
SAX = 143°
ZPAX = 56°
х
What is the measure of SAP?
(Simplify your answer.)
Answer:
87°
Step-by-step explanation:
subtract 143-56 to get the remaining angle
y = 3x + 4
the Answer
Answer:
hope u have a nice day
Step-by-step explanation:
Cara deposited $200 dollars into her savings account bringing her balance up to $450. Which equation can be used to find, x, the savings account balance before the $200 deposit?
A x + 200 = 450
B x200=450
C x−200=450
D 200x = 450
Answer:
A. x + 200 = 450
Step-by-step explanation:
Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is
A x + 200 = 450
A survey was conducted to see how many people ride a bus to school everyday. 160 people reported that they ride the bus to school everyday. This number represents 80% of the people surveyed how many people were surveyed.
Answer:
200
Step-by-step explanation:
160/x=80/100 find x by cross multiplying meaning 80x=16000
16000/80=x
Put these in order starting from the smallest
6^2 3^4 2^9
5^3
Answer:
6^2, 3^4, 5^3, and 2^9
Step-by-step explanation:
6^2= 36
3^4= 81
5^3= 125
2^9= 512
Write the equation of the line fully simplified slope-intercept form.
Answer:
y= -1/3x-7
Step-by-step explanation:
What is the geometric mean of 3 and 6
Answer:
The mean is 4.5
Step-by-step explanation:
u add the numbers and divide by how many numbers there are
Let f(x)=6/5x−1/2. Describe the transformations from the graph of f to the graphs of g(x)=−f(x) and h(x)=f(−x).
Answer:
g(x)=-6/5x+1/2
h(x)=-6/5x-1/2
Step-by-step explanation:
1). g(x)=−f(x) ?
f(x)=6/5x−1/2
g(x)=−(6/5x−1/2)
g(x)=-6/5x+1/2
2). h(x)=f(−x) ?
f(-x)=6/5(-x)−1/2
f(-x)=-6/5x-1/2
h(x)=-6/5x-1/2
Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals
Answer:
y+1 = 3/4(x-1)Step-by-step explanation:
Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.
The point slope form of the equation is generally expressed as;
y -y0 = m(x-x0)
m is the slope
(x0, y0) is the point
Get the slope first;
m = y2-y1/x2-x1
m = 2-(-1)/5-1
m = 3/4
Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation
y - (-1) = 3/4 (x-1)
y+1 = 3/4(x-1)
Hence the required equation is y+1 = 3/4(x-1)
25 points
Write an equation in slope intercept form
(-3,0) (2,1)
Answer:
y = 1/5x + 3/5
Step-by-step explanation:
Find g(3) -7
help please
Answer:
- 10
Step-by-step explanation:
g(x) = - x² + 2x
g(3) - 7 = - (3)² + 2(3) - 7 = - 10
What is the midpoint of the line segment that has endpoints (3,8) and (1,−4) ?
Answer:
D
Step-by-step explanation:
Midpoint Formula:
[tex]\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}[/tex]
[tex]\frac{3+1}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒ [tex]2[/tex]
[tex]\frac{8+-4}{2}[/tex] ⇒ [tex]\frac{8-4}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒[tex]2[/tex]
[tex](2,2)[/tex]
You use the utility company’s budget plan for paying your home heating bills. You pay $75 a month for 9 months. Your actual bills are: September, $28.95; October, $46.15; November, $68.46; December, $109.34; January, $115.26; February, $94.19; March $75.66; April, $51.97; and May, $49.16. Compute the average for the 9 months
Answer:
$71.01Step-by-step explanation:
What is the average of a set of numbers?
An average is a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.
Given
September, $28.95;
October, $46.15;
November, $68.46;
December, $109.34;
January, $115.26;
February, $94.19;
March $75.66;
April, $51.97; and
May, $49.16.
Step two:
Total amount= 28.95+46.15+68.46+109.34+115.26+94.19+75.66+51.97+49.16= 639.14
Total number of monts= 9
Average= 639.14/9
Average= $71.01
Which expression would represent the cost of one CD, if the total cost for three of them is $362
3/36)
36-3
36
3+ 36
Answer:
One CD would've been 120.67
Someone correct me if I'm wring please
7,900 dollars is placed in an account and gains an annual interest rate of 5.5%. Which of the exponential equations below best models this situation? I need a Answer fast please.
Answer:
I don't the answer but the next person will answer this right.
Multiply. Express each product in lowest terms.
1:4/5x 1/
I NEED HELP ILL GIVE BRAINLIEST
How is 4.209 written using words?
Answer:
Four and two hundred nine thousandths
Answer
four and two hundred nine thousandths. or, simpler: four point two hundred nine. or, even simpler: four point two zero nine.
Step-by-step explanation:
The following is an example of the ____________
(a+b)+c=a+(b+c)
A.Commutative Property
B.Identity Property
C.Distributive Property
D.Associative Property
Answer:
D.Associative Property
Step-by-step explanation:
Answer:
D. Accociative Property
Step-by-step explanation:
You switched around the parenthesis!
2/3 ( 12 n + 6 ) − 1 5 ( 10 n − 2 )
Answer:
34-158n
Step-by-step explanation:
First factor:
8n+4-150n+30
Then combine like terms
34-158n
Answer: -142n+34
Step-by-step explanation:(2/3)(12n)+(2/3)(6)+(-15)(10n)+(-15)(-2)
=-142n+34
A train travels a total of 38 km at a constant speed of 90 km/h.
How long is its journey? Give your answer in minutes and seconds, to the nearest second. Pls Help Maybe I will give you brainiest
Answer:
25 minutes and 33 seconds
Step-by-step explanation:
please brainiest