Express the numbers in scientific notation:
1. 75000
2. 0.0024
3. 75,000,000
4. 0.0000024
Answer:
1. 75000 ⇒ 7.5 × [tex]10^{4}[/tex]
2. 0.0024 ⇒ 2.4 × [tex]10^{-3}[/tex]
3. 75,000,000 ⇒ 7.5 × [tex]10^{7}[/tex]
4. 0.0000024 ⇒ 2.4 × [tex]10^{-6}[/tex]
Step-by-step explanation:
Scientific notation is a way of writing very large or very small numbers.
A number is written in scientific as a number between 1 and 10 and multiplied by a power of 10
The form of the scientific notation is a × [tex]10^{n}[/tex], where
1 < a < 10n is an integern is positive if the decimal point moves from right to leftn is negative if the decimal point moves from left to right1. 75000
→ Place a decimal point between 7 and 5 to make the number between
1 and 10
∴ a = 7.5
→ Count the number of the digits right to the decimal point
∵ There are 4 digits right to the decimal point
∴ n = 4
∴ 75000 ⇒ 7.5 × [tex]10^{4}[/tex]
2. 0.0024
→ Move the decimal point from left to right to place it between 2 and 4 to
make the number between 1 and 10
∴ a = 2.4
→ Count the number of the digits left to the decimal point
∵ There are 3 digits left to the decimal point
∴ n = -3
∴ 0.0024 ⇒ 2.4 × [tex]10^{-3}[/tex]
3. 75,000,000
→ Place a decimal point between 7 and 5 to make the number between
1 and 10
∴ a = 7.5
→ Count the number of the digits right to the decimal point
∵ There are 7 digits right to the decimal point
∴ n = 7
∴ 75,000,000 ⇒ 7.5 × [tex]10^{7}[/tex]
4. 0.0000024
→ Move the decimal point from left to right to place it between 2 and 4 to
make the number between 1 and 10
∴ a = 2.4
→ Count the number of the digits left to the decimal point
∵ There are 6 digits left to the decimal point
∴ n = -6
∴ 0.0000024 ⇒ 2.4 × [tex]10^{-6}[/tex]
subtract (8x^7-14d) - (-11x^7)
Answer:
19x^7 - 14d
Step-by-step explanation
Step 1:
((8 • (x7)) - 14d) - (0 - 11x7)
Step 2:
(23x7 - 14d) - -11x7
Step 3:
19x7 - 14d
Answer:
19x^7 - 14d
WORKING:
= 8x^7 - 14d + 11x^7
Group like terms
= 8x^7 + 11x^7 - 14d
Add similar elements 8x^7 + 11x^7 = 19x^7
= 19x^7 - 14d
FINAL ANSWER:
19x^7 - 14d
If f(x)=2x^3+4x^2, find f(-3)
Answer:
f(-3) = -18
Step-by-step explanation:
f(x)=2x^3+4x^2, find f(-3); let's rewrite
f(x) = 2[tex]x^{3}[/tex] + 4[tex]x^{2}[/tex]; substitute -3 for x
f(-3) = 2[tex](-3)^{3}[/tex] + 4[tex](-3)^{2}[/tex]; do the exponents
f(-3) = 2(-27) + 4(9); multiply and add
f(-3) = -54 + 36 = -18
The value of the function f(x) = 2x³ + 4x² at f(-3) is - 18.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = 2x³ + 4x².
Now, The value of the function f(-3) can be obtained by replacing
x with - 3.
Therefore, f(-3) = 2(-3)³ + 4(-3)².
f(-3) = 2×-27 + 4×9.
f(-3) = - 54 + 36.
f(-3) = - 18.
learn more about functions here :
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i need help with this
Answer:
Hey there..Sorry but, I don't know the answer to this..! Wish I could help.
Can someone please help me?
What is the answer to this question
Answer:
Slope: 6 Y-intercept: 2
Step-by-step explanation:
See where the line hits perfectly at an age and calculate rise/run. Here the rise is 6 and the run is 1, therefore 6/1 = 6.
Where is the y value that equals 0 in the x value? Right in the middle of the y line, so its 2. Hope this makes sense, I’m not too good at explaining stuff lol
Anyone not so busy? i need help with 9th grade maths
Answer:
Okay!
Step-by-step explanation:
That would be no problem!
SuperFit Gym charges $14 per month, as well as a one-time membership fee of $25 to join. After how many months will I spend a total of $165?
In the diagram, Find the value of y
Answer:
y = 42
Step-by-step explanation:
we can start by getting teh degree of x
62 + 65 = 127
180 - 127 = 53
x = 53
x - y = 11
we know that 53 is x
53 - y = 11
y = 42
Wilscy owns a toy store. The number of toy trains sold (in thousands) from 2000 through 2005 can be modeled by M(x) = −0.5x3 + 2x2 − x + 9. The average cost per toy train (in dollars) can be modeled by N(x) = 0.3x + 7, where x represents the number of years since 2000. The total revenue Wilscy made by the sale of toy trains is the product of the number of toy trains sold and the average cost per toy train. Identify a polynomial P(x) that can be used to model the total revenue.
Options:
a: P(x) = −0.15x4 − 2.9x3 + 13.7x2 − 4.3x + 63
b: P(x) = −0.5x3 + 2x2 − 0.7x + 2
c: P(x) = −0.15x4 + 4.1x3 + 14.3x2 − 9.7x + 63
d: P(x) = −0.5x3 + 2x2 − 1.3x + 16
Answer: Hey there! The answer is A!
Step-by-step explanation:
You only have to answer 7,8 but if you want you can do 9 and 10
Answer:
#7) x = 3
#8) x = 9
Step-by-step explanation:
# 7
Well AOB + BOC = AOC so...
4x - 1 + 2x + 15 = 8x + 8 (collect like terms)
6x + 14 = 8x + 8 (subtract 8 on each side)
6x + 6 = 8x (subtract 6x on both sides)
6 = 2x (divide by 2 on both sides)
3 = x
#8
COD + BOC = BOD so..
8x + 13 + 3x - 10 = 12x - 6 (collect like terms)
11x + 3 = 12x - 6 (add 6 on both sides)
11x + 9 = 12x (subtract 11x on both sides)
9 = x
Hope this helps!!
Jeff mowed a lawn for $20.00 and received a $5,25 tip. He then washed a car for $12.50. How much money
did Jeff make for completing these two jobs?
Answer:
See below.
Step-by-step explanation:
Mowing the lawn: $20
Tip: $5.25
Add them together.
[tex]20+5.25=25.25[/tex]
Washing the car: $12.50
Add that to the amount.
[tex]25.25+12.50=37.75[/tex]
Answer: [tex]37.75[/tex]
:)
Answer "and" Explanation:
Depends on whether this is a simple math problem or a riddle. I’m assuming the latter so…
Jeff received $20.00 for providing a lawn mowing service. Jeff received an additional $5.25 tip. Ignoring costs and taxes, Jeff’s gross receipts were $25.25.
Jeff then decided to wash a car. The ways it’s worded leads me to believe he spent $12.50 on the car wash.
So, $25.25 - $12.50 = $12.75
Alternatively, if Jeff was paid to wash the car then:
$20.00 + $5.25 + 12.50 = $37.75
So the Answer will be: $37.75
do all of the digits in 8.88 have the same value? and explain why.
Answer:
No
Step-by-step explanation:
Mitochondria is the powerhouse of the cell
Ruby's family took a road trip to Mount Rushmore. Ruby slept for the last 476 miles of the trip. If the total length of the trip was 700 miles, what percentage of the total trip had they traveled when Ruby fell asleep?
700 - 476 =
700
+476
______
1176
Is 2 greater than -9
Answer:
yes
Step-by-step explanation:
any positive number is greater than a negative
find the slope interecepts of the line 2x+3y+10=0
Answer:
slope of line(m)=-2/3
Step-by-step explanation:
from the formula
slope of line(m)=-(coefficient of x component / coefficient of y component)
=-(2/3)
What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1)
Step-by-step explanation:
Hey there!
Note: Use double point formula for finding the eqaution which passes through two points.
Given;
The points are; (1,-3) and (3,1).
Use double point formula.
[tex](y - y1) = \frac{y2 - y1}{x2 - x2} (y - y1)[/tex]
Put all values.
[tex](y + 3) = \frac{1 + 3}{3 - 1} (x - 1)[/tex]
Simplify it.
[tex](y + 3) = \frac{4}{2} (x - 1)[/tex]
[tex]y + 3 = 2(x - 1)[/tex]
[tex]y + 3 = 2x - 2[/tex]
[tex]y = 2x - 2 - 3[/tex]
[tex]y = 2x - 5[/tex]
Therefore, the eqaution is y = 2x-5.
Alternative:
Steps:
Find slope using slope formula and use one point formula.Simplify in the form of y = mx+c form.Formula:
Slope = (y2-y1)/(x2-x1)One point formula= (y-y1)= m(x-x1)The points are; (1,-3) and (3,1).
Now;
Slope= (1- (-3))/(3-1)
= (1+3)/2
= 2
Again;
Using one-point formula.
(y+3) = 2(x-1)
y+3= 2x-2
y = 2x -5
Therefore, the equation is y = 2x-5.
(You can follow up any method you want)
Hope it helps....
what is 1983917481724869826846164619/1816498646149816496416461984628+28319727847124798-274812987198463861294=?
Answer:
-2.7478467e+20
Step-by-step explanation:
Ty google :3
This table shows the input and output values for an exponential function f(x).
x -3 -2 -1 0 1 2 3
f(x) 8 4 2 1 0.5 0.25 0.125
What is the ratio of outputs for any two inputs that are one value apart?
4
0.5
0
1.5
Answer:
its 0.5 I took the test and it was correct
Step-by-step explanation:
Evaluate the expression for t = 43 and u = 12.
tu − t − u =
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[tex]tu - t - u = (43 \times 12) - 43 - 12 = \\ [/tex]
[tex]516 - 55 = 461[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
516 - 43 - 12 = 461
Step-by-step explanation:
tu is 43 x 12 = 516
t = 43
u = 12
so
516 - 43 = 473
473 - 12 = 461
the final answer is
461
At the school festival ,heather can buy 25 game tickets for 10 dollars, or she can pay 0.50 cent per game ticket.whick option has the lesser price per ticket.
Answer:
The 10 dollars for 25 tickets
Step-by-step explanation:
Work out the length x pls
Answer:
~17.67
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
7.5^2+16^2=c^2
~17.67
Answer:
Step-by-step explanation:
We use pythagorus theorem which is; a²+b²=c²
(16cm)²+(75/10cm)²=x²
256cm²+225/4cm²=x²
1249/4cm²=x²
√1249/4cm²=√x²
312.25cm=x
Write 0.15 as a fraction in simplest
Answer: 3/20 also known as 15% Hope this helps Have a great night
Step-by-step explanation:
PLS HELP FIND ANGLE MEASUREMENTS
Answer:
From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36
So,
x = 72
y = 36
Rewrite in simplest terms: 9(-6r – 3) + 2(r +9)
Answer:
I think its 'r= 15/7=0.467'
Step-by-step explanation:
Help needed. Only 1-5 is needed help on plz and ty
Answer:
number 5 is y= 3 7-3=4x4=16
Step-by-step explanation:
anyone wanna just vibe?
Answer:
meeeeeeeee. Im bored wanna talk?
Step-by-step explanation:
PLEASE HELP I HAVE 5 MINS!!!!!!!!!!!!!!!!!!!!!!!The points given in the table lie on a line. Find the slope of each line.
Answer:i did slopes last year I forgot
Step-by-step explanation:
Answer:
m=-5/2
Step-by-step explanation:
the slope of a line is determined by finding the change in the y-values over the change in x-values:
9-4 = 5
0-2 -2
so m= -5/2
78 is 0.6% of what number? Use pencil and paper. Would you expect the
answer to be a lot less than 78, slightly less than 78, slightly greater than 78, or
a lot greater than 78? Explain.
78 is 0.6% of
(Type an integer or a decimal.)
Answer:
Answer is
13000
Step-by-step explanation:
78÷0.6%=13000
if a circle has a circumference of 200π what is its radius?
Answer:
31.83
Step-by-step explanation:
The circle would have a circumference of 31.83