what is 49400000000000 written in scientific notation
Answers
Answer:
4.94x10^13
Step-by-step explanation:
You have to move the decimal 13 times to the right and the number you get or it to be in scientific notation has to be in between 1 and something less than 10.
You probably don't need this answer anymore, sorry!
Related Questions
I need help on this question
Answers
Answer:
d
Step-by-step explanation:
G is a point that bisects line segment FH. If GH is 13.3 units long, how long is FH?
Answers
The length of line FH is 26.6 units.
What is Line Segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Here, G is the mid point of the line FH.
FG = GH
so, FG + GH = FH
GH + GH = FH
2GH = FH
FH = 2 X 13.3
FH = 26.6
Thus, the length of line FH is 26.6 units.
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1 dollar bill is 6.14 inches long 2.61 wide and 0.00043 thick. If you had 1 billion in 100 dollar bills the the number of bills would be
Answers
The number of 100 dollar bills in one billion dollars is 10 million hundreds or 70,900 hundred dollar bills.
To find the number of 100 dollar bills in one billion dollars, we can use the following steps:
First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,
we can divide one billion by 100 to get the number of hundreds
\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)
So one billion dollars is equal to 10 million hundreds.
Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)
The volume of one hundred dollar bill is approximately 0.00709 cubic inches.
Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)
Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.
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Susan has $800 in a savings account that earns 6% simple interest annually. How much interest will she earn in 5 years?
Answers
x 5 years = $240
Can you help me please here is the image
Answers
Answer: D all of the above
Step-by-step explanation:
A. you can see that the majoritie of the area is dessort becuase of the long expance of lack of vegitation and water
B. Because there is no other water sourses the cities would have to be along water
C. Along the nile river is vegitation
D. Must be D.
Based on the data in the two-way table, what is the probability that a person consumes 1,500 to 2,000 calories in a day? A. 0.22 B. 0.28 C. 0.35 D. 0.50
Answers
Using it's concept, it is found that the probability that a person consumes 1,500 to 2,000 calories in a day is given by:
D. 0.50
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that out of 500 people, 250 consume 1,500 to 2,000 calories in a day, hence the probability is given by:
p = 250/500 = 0.5.
Which means that option D is correct.
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A recipe calls for 2 cup of brown sugar for every 6 cups of white sugar. How many cups of brown sugar are required for every 12 cups of white sugar?
(PLEASE HELP!!)
Answers
There are 4 cups of brown sugar are required for every 12 cups of white sugar.
A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:
2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar
To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:
2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar
24 cups brown sugar = 6x cups brown sugar
x = 24/6
x = 4
So, 4 cups of brown sugar are required for every 12 cups of white sugar.
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HELPP!!
Ryan collects rainwater in a barrel for his garden. The barrel is filled with 15 gallons of water. Ryan used 6.8 gallons to water his garden in June and 5 and one-eighth gallons in July. How much water is left in the barrel?
1.) 3.075 gallons
2.) 5.125 gallons
3.) 5.178 gallons
4.) 16.675 gallons
Answers
Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:
1.) 3.075 gallons.
How to find the remaining amount of water in the barrel?
To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.
We have that:
The initial amount was of 15 gallons.The amount used was of: 6.8 + 5 + 1/8(relative to the one-eight) = 11.925 gallons.Hence the remaining amount is:
15 - 11.925 = 3.075 gallons.
Which means that option 1 is correct.
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Answer: 3.075 gallons
Step-by-step explanation:
100 points!!
f (x) = −√x + 2 + 3
Fully explain the three transformations required to produce this function from the
parent function.
Answers
Answer: the first thing is your answer :)
thx for the points
Step-by-step explanation:
g
(
x
)
=
x
2
−
3
The parent function is the simplest form of the type of function given.
f
(
x
)
=
x
2
The transformation being described is from
f
(
x
)
=
x
2
to
g
(
x
)
=
x
2
−
3
.
f
(
x
)
=
x
2
→
g
(
x
)
=
x
2
−
3
The horizontal shift depends on the value of
h
. The horizontal shift is described as:
g
(
x
)
=
f
(
x
+
h
)
- The graph is shifted to the left
h
units.
g
(
x
)
=
f
(
x
−
h
)
- The graph is shifted to the right
h
units.
In this case,
h
=
0
which means that the graph is not shifted to the left or right.
Horizontal Shift: None
The vertical shift depends on the value of
k
. The vertical shift is described as:
g
(
x
)
=
f
(
x
)
+
k
- The graph is shifted up
k
units.
g
(
x
)
=
f
(
x
)
−
k
- The graph is shifted down
k
units.
Vertical Shift: Down
3
Units
The graph is reflected about the x-axis when
g
(
x
)
=
−
f
(
x
)
.
Reflection about the x-axis: None
The graph is reflected about the y-axis when
g
(
x
)
=
f
(
−
x
)
.
Reflection about the y-axis: None
Compressing and stretching depends on the value of
a
.
When
a
is greater than
1
: Vertically stretched
When
a
is between
0
and
1
: Vertically compressed
Vertical Compression or Stretch: None
Compare and list the transformations.
Parent Function:
f
(
x
)
=
x
2
Horizontal Shift: None
Vertical Shift: Down
3
Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None
image of graph
which value of y makes the inequality 3y^2+2(y-5)>8 true?
A. y = 0
B. y = –1
C. y = –2
D. y = –3
Answers
you substitute each of the values into y
3(-3)^2+2(-3-5)>8
you square the -3 and then multiply by 3, you’re left with 27+2(-3-5)>8
You then subtract -3-5 inside the parentheses and are left with 27+2(-8)>8 multiply the 2 and -8
27+(-16)>8 or 27-16>8
Subtract and you’re left with 11>8
All the others are the same steps, but they are not true
In the equation, y = 2 sin
000
A
B
с
O
1
x, which statements are true? Select all that apply.
2
The period is 4π
The amplitude is 2
The period is
1
2
76
The amplitude is-
2
Answers
The period of the function is 4π, and the amplitude is 2.
Given data ,
Let the function be represented as f ( x ) = y
Now , the value of f ( x ) is
y = 2sin ( 1/2 )x
To find the period and amplitude of the function y = 2sin((1/2)x), we can use the standard form of a sine function: y = Asin(Bx).
In this case, the amplitude (A) is 2.
The amplitude represents the maximum displacement from the midpoint of the sinusoidal function.
To find the period, we can use the formula:
Period = (2π) / |B|.
B = 1/2.
Period = (2π) / |1/2|
P = (2π) / (1/2) = 2π * 2/1 = 4π
Hence , the period of the function is 4π, and the amplitude is 2.
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At a particular fast food restaurant, tacos cost $1.29 and
burritos cost $2.19. Michael spent a total of $42.93 at the
restaurant to buy food for a party. If he purchased half as
many burritos as tacos, how many tacos did he buy?
Answers
Answer:
9 burritos and 18 tacos
Step-by-step explanation:
We can start this problem by assigning a variable to our unknowns.
Let's name x the number of burritos he buys.
The question states he buys half as many burritos as tacos.
Therefore, the number of tacos he bought is 2x.
Let's set up an equation.
(Cost of burrito)(number of burritos)+(Cost of taco)(number of tacos)=Total Cost
2.19x+1.29(2x)=42.93
Simplify
2.19x+2.58x=42.93
4.77x=42.93
x=9
Michael bought 9 burritos.
2*9=18
Michael bought 18 tacos.
Answer:
\( \displaystyle 18\)
Step-by-step explanation:
we are given that,
tacos cost $1.29 burritos cost $2.19Michael spent a total of $42.93he purchased half as many burritos as tacoslet the number of tacos and burritos be t and b respectively
according to the 3rd condition we get:
\( \displaystyle 1.29t + 2.19b = 42.93\)
according to the 4th condition we obtain:
\( \displaystyle t = 2b\)
therefore our system of linear equation is
\(\begin{cases}\displaystyle t=2b \\ \displaystyle 1.29t + 2.19b = 42.93\end{cases}\)
so now we end up with a system of linear equation in order to solve the equation we can consider substitution method
so substitute the value of t which yields:
\( \displaystyle 1.29 \cdot 2b+ 2.19b = 42.93\)
simplify multiplication:
\( \displaystyle 2.58b+ 2.19b = 42.93\)
since we have same variable we can consider the like terms:
\( \displaystyle 4.77b = 42.93\)
divide both sides by 4.77:
\( \displaystyle \frac{4.77b }{4.77}= \frac{ 42.93}{4.77}\)
reduce fraction:
\( \displaystyle \bcancel{ \frac{4.77b }{4.77}}= \cancel \frac{ \stackrel{ \large9}{ 42.93}}{4.77}\)
\( \displaystyle b = 9\)
now substitute the value of b:
\( \displaystyle t = 2.9\)
simplify multiplication:
\( \displaystyle t =18\)
hence,
he bought 18 tacos
a hill rises 10 meters over horizontal distance of 8 meters
calculate the slope
Answers
Answer:
Slope = 5/4
Step-by-step explanation:
GCF of 10 and 8 is 2, divide both values by two and have the 10 as the rise and 8 as the run.
L is the midpoint of KM. If KL = 14x and KM = 26x + 14, what is KL? Simplify your answer and write it as a proper fraction, mixed number, or integer. Please type the answer step by step.
Answers
Answer:
Step-by-step explanation:
L is the midpoint of KM. So, length of KL = length of LM
KL = LM = 14x
KL + LM = KM
14x + 14x = 26x + 14 {add the like terms}
28x = 26x + 14 {subtract 26x form both sides}
28x - 26x = 14
2x = 14 {divide both side by 2}
2x/2 = 14/2
x = 7
KL = 14x = 14*7
KL = 98
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answers
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16, a) what is the probability that the sample mean is above 95? (4 d.p.) b) What is the value, of which there is 97.5% chance that a sample mean is less than that value? (1 d.p.)
Answers
Answer:
a) 0.0228
b) 94.6
Step-by-step explanation:
The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
n = random number of samples
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,
a) what is the probability that the sample mean is above 95? (4 d.p.) b)
= x = 95
Hence:
z = 95 - 75/40/√16
= 20/40/4
= 20/10
= 2
Probability value from Z-Table:
P(x<95) = 0.97725
P(x>95) = 1 - P(x<95) = 0.02275
The probability that the sample mean is above 95 to 4 decimal places = 0.0228
b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?
97.5% chance = z score for the confidence interval = 1.96
Hence:
z = (x-μ)/σ/√n
1.96 = x - 75/40/√16
1.96 = x - 75/ 40/4
1.96 = x - 75/10
Cross Multiply
1.96 × 10 = x - 75
19.6 = x - 75
x = 19.6 + 75
x = 94.6
The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6
Simplify each.Assume that none of the variables is zero.
Answers
Answer:
2. 1 / a^2
3, 1
4. - 1
Step-by-step explanation:
Formulas : -
x^y / x^z = x^( y - z )
x^-y = 1 / x^y
x^y / x^y = 1
2.
a^2 / a^4
= a^( 2 - 4 )
= a^-2
= 1 / a^2
3.
m^6 / m^6 = 1
4.
- 8^4 / 8^4
= - 1 x 8^4 / 7^4
= - 1
a landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $40/ft and on the other three sides by a metal fence costing $20/ft. if the area of the garden is 142 square feet, find the dimensions of the garden that minimize the cost.
Answers
The dimensions of the rectangular garden which minimize the cost is equal to 9.6ft and 14.6ft respectively.
As given in the question,
Cost of brick wall is equal to $40/ft
Cost of metal fencing is equal to $20/ft
Let 'x' and 'y' are the dimensions of the rectangular garden
Area of the rectangular garden = 142 square feet
⇒ 142 = xy
⇒x = 142/y
Costing of four side fencing 'C' = 40x + 20x + 20y + 20y
⇒ C = 60x + 40y
⇒C = 60(142/y) + 40y
⇒C = 8520/y + 40y
Differentiate with respect to y
dC/dy = -8520/ y² + 40
Put dC/dy = 0
-8520/ y² + 40 = 0
⇒y² = 8520/40
⇒y = √213
⇒ y= 14.6 ft
⇒ x= 142/14.6
= 9.7 ft
Therefore, the dimensions of the rectangular garden with the given area which minimize the cost is equal to 14.6ft and 9.7ft.
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Find g(x), where g(x) is the translation 2 units left and 13 units up of f(x)=–7x+7.
Answers
Answer:
\(g(x)=-7x+6\)
Step-by-step explanation:
Translations
For a > 0
\(f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}\)
\(f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}\)
\(f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}\)
\(f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}\)
Parent function:
\(f(x)=-7x+7\)
Translation of 2 units left:
\(\implies f(x+2)=-7(x+2)+7\)
Translation of 13 units up:
\(\implies f(x+2)+13=-7(x+2)+7+13\)
Simplifying:
\(\implies g(x)=-7(x+2)+7+13\)
\(\implies g(x)=-7x-14+7+13\)
\(\implies g(x)=-7x+6\)
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How many degrees is the measure of ∠4
?
Answers
Answer:
Below
Step-by-step explanation:
Angle 4 + 60 + 61 = straight line = 180 °
angle 4 = 180 - 60 - 61 = 59°
A seventh-grade student forgets to bring his lunch money on several occasions. Each time he forgets his lunch money, he has to charge his cafeteria account by .15.
Solve the following equation.
4(−3.15)=
Explain what this product means in terms of the cafeteria account.
Answers
Answer:
-12.6
Step-by-step explanation:
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
The length KL is 8 units
The value of x is undefined
The length KL is 12 units
Calculating the length KLFrom the question, we have the following parameters that can be used in our computation:
The rhombus
Also, we have
DK = 8
A rhombus is a quadrilateral with all sides equal.
So, we have
KL = 8
Calculating the value of xHere, we have
SKAL = 2x - 8
There is no point S on the rhombus
This means that
x = undefined
Calculating the length KLHere, we have
DM = 5y + 2 and DK = 3y + 6
A rhombus is a quadrilateral with all sides equal.
So, we have
5y + 2 = 3y + 6
Evaluate
2y = 4
Divide
y = 2
So, we have
KL = 5 * 2 + 2
KL = 12
Hence, the length KL is 12 units
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Given the vertices, determine the quadrilateral's most specific classification.
A(5, -3) B(7, 1) C(9, -3) D(-7, 7)
Answers
david has x nickels and y dimes
Answers
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answers
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
Can someone please help me with this question I don’t understand it
Answers
Brand A: 32 Diapers, $8.99: about 28 cents per diaper
Brand B: 50 Diapers, $12.49: about 24 cents per diaper
You divide the amount of diapers by the money.
For example, 32 diapers/$8.99 equals about 28 cents per diaper and 50 diapers/$12.49 equals about 24 cents per diaper.
Brand B is the better deal since you save about 4 cents more.
Use the diagram in the photo to answer the questions that follow.
Answers
Answer:
Step-by-step explanation:
1. y =25x
2. answer : 250
3.independent is n and dependent is v
250
Independent is n and dependent is v
The length of a rectangle is 5 cm less than 3 times its width. If the perimeter is 54 cm, find its length.
Answers
Answer:
W = 8cm
L = 19cm
Step-by-step explanation:
The first step to solving these problems is always writing the information that is given into 2 equations.
Piece of info #1: Length is 5cm less than 3 times the width
Piece of info #2: Perimeter (of the rectangle, which has 4 sides) is 54cm
Turing these into equations...
Equation 1) L = 3*W - 5
Equation 2a) L+L+W+W = 54
Let's simplify that second equation:
Equation 2b) 2L+2W = 54
Now, we just solve the system of two equations by substitution. Take the known value of L from equation 1 and substitute it in for the value of L in equation 2b:
2*(3*W-5)+2W = 54
Now we solve for W:
6W - 10 + 2W = 54
8W - 10 = 54
8W = 64
W = 64/8
W = 8 cm
Now that we know W, we can substitute its value into either equation 1 or equation 2 to find L. Here, I'll randomly choose equation 1.
Equation 1) L = 3*W - 5
L = 3*8 - 5
L = 24-5
L = 19 cm
How do I do number 1??
Help me it’s due tomorrow!!!
Answers
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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Please help due in 5 min!!!
