Answer:
C.) 2.07 × 10^6
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The solution is Option C.
The value of the number 2,070,000 written in scientific notation is
A = 2.07 x 10⁶
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the value of A is
A = 2,070,000
Now , to write the number in scientific notation ,
Multiply the number 207 with powers of 10
So , the value of A will be
A = 207 x 10⁴
Now , the number 207 can be written as 2.07 x 10²
On simplifying the equation , we get
A = 2.07 x 10² x 10⁴
A = 2.07 x 10²⁺⁴
A = 2.07 x 10⁶
Therefore , the value of A is 2.07 x 10⁶
Hence , the value of the number is 2.07 x 10⁶
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What is this answer?
Answer:
X intercepts (-30,0)
Y intercepts (0,-3)
Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.
StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.
What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4 ?
Answer:
The property used here is: Multiplication property of Equality
Step-by-step explanation:
Claire solved the expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by two ways
Way 1: Solving using proportion:
[tex]\frac{x}{4}=\frac{36}{16}[/tex]
By cross multiplying:
[tex]16x=144[/tex]
Divide both sides by 16
[tex]x=9[/tex]
Way 2:
She also solve the same expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by using following steps
Multiply both sides by 4
[tex]4\times( \frac{x}{4})=4\times(\frac{36}{16})\\x=\frac{144}{16}\\x=9[/tex]
We need to tell the name of property that allowed her to go from [tex]\frac{x}{4}=\frac{36}{16}[/tex] to [tex]4\times(\frac{x}{4})=4\times(\frac{36}{16})[/tex]
The property used here is: Multiplication property of Equality
The property states that if A , B and C are real numbers then
A = B and AC = BC are equivalent.
Answer:
C
Step-by-step explanation:
Write an explicit formula that represents the sequence defined by the following recursive formula
HELP IM TIMED
Answer:
The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first termd is the common difference between each two consecutive termsn is the position of the number∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a[tex]_{n}[/tex] = -1 + (n - 1)(-6)
∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)
∴ a[tex]_{n}[/tex] = -1 + -6n - (-6)
∴ a[tex]_{n}[/tex] = -1 - 6n + 6
→ Add the like term
∴ a[tex]_{n}[/tex] = 5 - 6n
∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
hi! im quite confused on this. can someone please help me? ill give brainiest if youre correct :)
Answer:
I believe the answer is D
Step-by-step explanation:
after 3 hours it traveled 120 miles so divide that by the 3 hours and it gives you 40 miles per hour giving you the slope and the y int would be negative 300 because he started 300 miles aways from Denver
Answer:
The answer seems to be D
Step-by-step explanation:
I cannot really confirm but I am most certain it is D.
Hi, could i please get some help with this I forgot the formula for it..... THANKS!!
Answer:
b = 12
Step-by-step explanation:
a² + b² = c²
a and b are the length of the sides in the right triangle and c is the hypotenuse.
since we know one leg and the hypotenuse, we can find the other leg.
9² + b² = 15²
81 + b² = 225
b² = 225 - 81
b² = 144
b = 12
Answer:
The answer is 12
Step-by-step explanation:
the formula is A^2+B^2=c^2
9² + b² = 15²
81 + b² = 225
b² = 225 - 81
b² = 144
b = 12
A triangle has sides of lengths 9,7, and 12. Is it a right triangle? Explain.
Answer:
A triangle has sides of lengths 9,7, and 12 is not a right triangle .
A nail has a circular head with a diameter of 0.40 centimeters.
What is the area of the nail's head, rounded to the nearest hundredth of a square centimeter?
Solve linear equations
Solve for x
3х – 10 = 16
Answer:
x=26/3
Step-by-step explanation:
3x-10=16
add 10 to both sides
3x=16+10
simplify
3x=26
divide both sides by 3
x=26/3
What's the mean median and range of 5, 15, 10, 20,15 10, 15
Answer:
Mean = 12.85714
Median = 15
Range = 15
Step-by-step explanation:
Mean:
5 + 15 + 10 + 20 + 15 + 10 + 15 = 90
90 / 7 = 12.85714
Median:
5, 10, 10, 15, 15, 15, 20
Median = 15
Range:
20 - 5 = 15
Adam rode in a bike-a-thon. At the end of each hour of the bike-a-thon, he recorded the total distance he had traveled since the bike-a-thon began. This is shown in the table below. Based on this table, is the total distance traveled by Adam a function of time?
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
Answer: no, because it’s he total distance of 32 miles is repeated in the table
Step-by-step explanation:
I passed the test
Which expression is equivalent to (x⁶y⁸)³/x²y²
The equivalent expression is [tex]x^{16}y^{22}[/tex]
If BFD and AFC are right angles and
m CFD = 72°, what is the value of x?
18
36
108
72
Answer:
72
Step-by-step explanation:
If BFD is a right angle and it gives you CFD that means that you do 90 - 72 to find CFB cause it 90 all togther
CFB = 18 deg
now it also tells us CFA is a 90 deg angle so we do the same thing
90 - 18 = 72
To pass a quiz, students need a score of at least 32 points out of a total of 40 points. At least what percent do the students need to pass the quiz
Answer:
80%
Step-by-step explanation:
Hope this helps :)
The table represents some points on the graph of a linear function.
Which function represents the same relationship?
Answer:
C
Step-by-step explanation:
The equatipn of the function that represents the same relationship is
h(x)=-3x-10.5
Equation of a line :The slope intercept form of equation of line is y=mx+b
where m is the slope and b is the y intercept .
We are given with a table that represents the linear function
Pick any two points from the table to find out slope
(-3.5,0) and (-1,-7.5)
[tex]slope =\frac{y_2-y_1}{x_2-x_1} =\frac{-7.5-0}{-1+3.5}=-3[/tex]
Now we find out y intercept b . use point slope form
[tex]y-y_1=m(x-x_1)\\m=-3 and (-3.5,0)\\y-0=-3(x+3.5)\\y=-3x-10.5[/tex]
The equation of the function that represents the same relationship is
h(x)=-3x-10.5
Learn more information about 'Equation of lines' here
brainly.com/question/27232782
What is the probability of 63?
The owner of a grocery store wants to mix two kinds of condy together to make 15lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
Answer: 6 pounds of sugar candy, and 9 pounds of chocolate candy.
Step-by-step explanation:
Let's define the variables:
C = pounds of chocolate candies used.
S = pounds of sugar candies used.
We know that he wants to make a total of 15lb, then:
C + S = 15
We also want that the price per pound to be equal to 5$.
This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.
C*$7.00 + $2.00*S = $5.00*15
Then we have a system of equations:
C + S = 15
C*$7.00 + $2.00*S = $5.00*15
To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:
C = 15 - S
now we can replace that in the other equation:
(15 - S)*$7.00 + $2.00*S = $5.00*15
Now we can solve this for S.
$105 - $5.00*S = $75
$105 - $75 = $5.00*S
$30 = $5.00*S
$30/$5 = S = 6
Then there are 6 pounds of sugar candy, and we can use the equation:
C + S = 15
C + 6 = 15
C = 15 - 6 = 9
There are 9 pounds of chocolate candy in the mix.
Answer:
9 pounds of chocolate candy
6 pounds of sugar candy
Step-by-step explanation:
x will represent pounds of chocolate candies used
y will represent pounds of sugar candies used
x + y = 15
x · $7.00 + $2.00 · y = $5.00 · 15
x = 15 - y
(15 - y) · $7.00 + $2.00 · y = $5.00 · 15
105 - $5.00 · y = 75
105 - 75 = $5.00 · y
$30 = $5.00 · y
$30 ÷ $5 = y
$30 ÷ $5 = 6
y = 6
x + y = 15
x + 6 = 15
x + 6 - 6 = 15 - 6
x = 9
Tamara has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00. She budgets $29.50 per month for total cell phone expenses. What is the maximum number of minutes Tamara could use her phone each month in order to stay within her budget?
Answer:
525 minutes
Step-by-step explanation:
Given that the monthly fee for the phone is $19 and the call charges rate is $0.02 per minute.
Her monthly budget is $29.50.
Let Tamara can make a maximum number of n minutes call in a month.
So, call charges for n minutes = $0.02n
Total monthly expenses on her phone = 19+0.02n
As her monthly budget is $29.50.
So, 19+0.02n=29.50
0.02n=29.50-19
0.02n=10.50
n=10.50/0.02
n=525
Hence, she can make a maximum of 525 minutes call.
14. What is the solution of the system?
5x - y= -7
3x - y= -2
-2.5, -5.5
-2.5, 11
5, 2.5
2.5, 5.5
Answer: -2.5, -5.5
Step-by-step explanation:
5x - y= -7
3x - y= -2 multiply by -1
5x - y= -7
-3x + y= +2 we add both equations
2x=-7+2, 2x=-5, x=5/2= -2.5
5(-2.5)-y=-7
- 12.5-y= -7 we simplify and get
-y=-7+12.5, -y=5.5, y=-5.5
Does the graph represent a function?
Step-by-step explanation:
yes dear. .............
helllllllllllllllllllllpppppppppppp meeeeeeeeeeeeee
Answer: I think the answer is x = 4
Step-by-step explanation: 28 = 7x
/7 /7
4 = x
SOMEBODY PLS HELP ILL MARK U BRAINLIEST
Answer:
- 16x + 3y
Step-by-step explanation:
this can be done in two ways- vertical method or horizontal :
I did one:
( i hope this is right)
Plis help me plis! I need help with this
Answer:
The light blue/greenish one that says T=PV/K or Greeland
Step-by-step explanation:
We can make the equation more simplier by multiplying both sides by P to remove fractions.
It would become VP=KT
The only answer with VP or PV is B, or the T=PV/K
also, to isolate T, divide the VP=KT by K on both sides to isolate T.
VP/K=T
NEED HELP TO FIND x ASAP!!!!!!!!!
PLEASE HELP!!!!
Which expression is a simplified form of
[tex]3x^{2} - 4x + 5 - x^{2} + 2x - 1[/tex]
[tex]a) \: 2x^{4} - 2x^{2} + 4 \\ b) \: 2x^{4} + 6x^{2} + 4 \\ c) \: 2x^{2} - 2x + 4 \: \: \\ d) \: 4x^{2} - 2x + 4 \: \: [/tex]
Answer: c) 2x² - 2x + 4
Step-by-step explanation:
2x-2y=-10 Standard to Slope Intercept form
Answer:
y=x-5
Step-by-step explanation:
2x-2y=10
1.) subtract 2x from both sides
-2y=-2x+10
2.) Divide by -2 to get y by itself
y=x-5
Answer:
y= x+5
Step-by-step explanation:
y =mx+b is slope intercept form
Contestant and like terms. What do they mean?
Answer:
Step-by-step explanation:
Like Terms: terms that have the same variable raised to the same power. So like 5x plus 5x plus 5. 5x and 5x are like terms.
I'm going to assume you mean Constant instead of contestant so
Constant: Terms without variables
Example: 5x+2x+7
5x and 2x are like terms
7 is a Constant
I don't understand this either what's this
Answer:
It's called a transversal lol
Step-by-step explanation:
I know that you were thinking that there should be a letter somewhere but you can't figure out the name of a line unless the name is shown lol
Pls mark Brainliest.
What is the area of a 16 x 9 foot rectangle?
Answer:
144 square foot
Step-by-step explanation:
Area of rectangle: Length × breadth
Area of rectangle = 16 × 9
= 144 square foot
Solve the inequality x + 2 ≥ 8
Answer:
the answer is x ≥ 6
Step-by-step explanation:
x ≥ 8 - 2
x ≥ 6
The set of ordered pairs below represents a function.
{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}
Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.
Select all ordered pairs that could be used to show that this claim is incorrect.
(–9, –6)
(1, 12)
(–10, –10)
(4, 7)
(–5, 1)
Given:
The set of ordered pairs below represents a function.
{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}
Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.
To find:
All the ordered pairs that could be used to show that this claim is incorrect.
Solution:
We need to find the ordered pairs that can be replaced with (6,-10) and for which the set is not a function.
A relation is called function if there exist a unique output for each input.
If (-9,-6) is replaces with (6,-10), then the set has two outputs y=1 and y=-6 for x=-9. So, the claim is incorrect.
If (1,12) is replaces with (6,-10), then the set has two outputs y=12 and y=3 for x=1. So, the claim is incorrect.
If (-10,-10) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.
If (4,7) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.
If (-5,1) is replaces with (6,-10), then the set has two outputs y=1 and y=2 for x=-5. So, the claim is incorrect.
Therefore, the correct options are (a), (b) and (e).
