Answer: [tex]7.63\times10^{-1}[/tex]
Step-by-step explanation:
The scientific notation is a technique to express a very large or a very small number in the product of a decimal form of number [commonly between 1 and 10] and powers of ten.We know that one thousandth is written as :
[tex]\text{One thousandth}=\frac{1}{1000}[/tex]
Therefore, 763 thousandths can be written as :
[tex]\text{ 763 thousandths}=\frac{763}{1000}=\frac{7.63}{10}[/tex]
In Scientific notation:
[tex]\frac{7.63}{100}=763\times10^{-1}......[\text{ By law of exponents }](\frac{1}{a^n}=a^{-n})[/tex]
The number [tex]763\text{ thousandths}[/tex] in scientific notation is [tex]\boxed{\bf 7.63\times 10^{-1}}[/tex].
Further Explanation:
The scientific notation is a technique which is used to express a very large or a very small number in the product of a decimal form of number [commonly between 1 and 10] and a power of ten.
It can easily simplify an arithmetic operation and in a scientific calculator it is known as SCI display mode.
In scientific notation, all the numbers can be written as follows:
[tex]\boxed{x\times 10^{y}}[/tex]
Here, [tex]y[/tex] is an exponent integer and [tex]x[/tex] is the real number. The integer [tex]y[/tex] is the order of the magnitude and [tex]x[/tex] is called the mantissa (fractional part of the number).
As we know that one thousandths in mathematical form can be written as follows:
[tex]\boxed{1\text{ thousandths}=\dfrac{1}{1000}}[/tex]
Therefore, the number [tex]763\text{ thousandths}[/tex] in mathematical form is written as follows:
[tex]\boxed{\begin{aligned}763\text{ thousandths}&=\dfrac{763}{1000}\\&=\dfrac{7.63}{10}\end{aligned}}[/tex]
So, in scientific notation the number [tex]763\text{ thousandths}[/tex] is written as follows:
[tex]\boxed{\dfrac{7.63}{10}=7.63\times 10^{-1}}[/tex]
Therefore, the number [tex]763\text{ thousandths}[/tex] in scientific notation is expressed as [tex]\boxed{\bf 7.63\times 10^{-1}}[/tex].
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Number system
Keywords: scientific notation, 763 thousandths, multiplication, division, exponent power, real number, integers, power of ten, scientific calculator, decimal form.
It takes joey 1/16 of an hour to write one thank you note. How many cards can he write in 3/4 of an hour
divide 3/4 by 1/16
3/4 / 1/16 =
3/4 * 16/1 =
48/4 = 12
he can write 12
what is the cube root of 4096
If a person starts investing $100 per month starting at age 21, and that money earns a 7% return every year, how much will this person have when turning 70 years old? For ease of calculation, assume starting balance of $0 and annual contributions of $1,200 (12*$100
The amount of money the person will have is [tex]\fbox{\begin\\\ \bf \$454,800\\\end{minispace}}[/tex].
Further explanation:
In the question it is given that the amount of money invested per month is [tex]\$100[/tex].
So, the total amount of money invested in [tex]1[/tex] year or [tex]12[/tex] months is calculated as follows:
[tex]\fbox{\begin\\\ 100\times 12=1200\\\end{minispace}}[/tex]
This implies that the total amount of money invested in [tex]1[/tex] year is [tex]\$1200[/tex].
Amount of money invested grows at a rate of [tex]7\%[/tex] per year.
A person started investing the money at an age of [tex]21[/tex] years and decided to withdraw the money at the age of [tex]70[/tex] years.
So, the total time for which the money was invested is calculated as follows:
[tex]\fbox{\begin\\\ 70-21=49\\\end{minispace}}[/tex]
The formula to obtain the future value of the invested money is as follows:
[tex]\fbox{\begin\\\ FV=PV\left[\dfrac{(1+r)^{t}-1}{r}\right]\\\end{minispace}}[/tex]
Substitute [tex]1200[/tex] for [tex]PV[/tex], [tex]0.07[/tex] for [tex]r[/tex] and [tex]49[/tex] for [tex]t[/tex] in the above equation.
[tex]\begin{aligned}FV&=1200\left[\dfrac{(1+0.07)^{49}-1}{0.07}\right]\\&=1200\left[\dfrac{(1.07)^{49}-1}{0.07}\right]\\&=1200\left[\dfrac{26.53}{0.07}\right]\\&=1200\times379\\&=454800\end{aligned}[/tex]
Therefore, the future value of the invested money is [tex]\$454,800[/tex].
Thus, the amount of money the person will have is [tex]\fbox{\begin\\\ \bf \$454,800\\\end{minispace}}[/tex].
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Grade: College
Subject: Mathematics
Topic: Time value of money
Keywords: Future value, present value, interest, time period, investment, money, 7 percent, $100, amount, invested money, formula.
What is the value of x in the equation 3x – y = 18, when y = 27?
a.5
b.7
c.45
d.63
Answer:
5
Step-by-step explanation:
What is the least common multiple of 27,48, and 66
What is the equation of the following graph in vertex form?
At 12:30 pm on august 2, the surface receives 789 wm−2 and reflects 110 wm−2. what is the surface albedo?
Amy is just learning how to rock climb. Her instructor takes her to a 26 ft climbing wall for her first time. She climbs up 5 ft in 2 min. But then slips back 2 ft in 10 sec. This pattern (up 5 feet down 2 ft) continues until she reaches the top. How long will it take her to reach the very top?
Final answer:
Amy needs to cover 23 feet through 7 full cycles of climbing and slipping, followed by a final climb of 5 feet without slipping. It takes her 15.17 minutes for the cycles and an additional 2 minutes for the final climb, summing up to a total of 17.17 minutes to reach the top.
Explanation:
Amy is learning how to rock climb and faces a challenge of climbing a 26 ft wall by moving up 5 ft in 2 minutes, then slipping back 2 ft in 10 seconds. To calculate the total time it will take her to reach the top, we can start by finding the net distance she covers in each cycle of climbing and slipping.
During each cycle, Amy climbs 5 ft but then slips back 2 ft, making her net gain per cycle 3 ft (5 ft up - 2 ft back). To reach the top of the 26 ft wall, she doesn't slip back after the final climb, so the last part of the climb she only needs to cover the distance that takes her to 26 ft without slipping back.
Let's consider the entire climb except the final push to the top:
Total distance to cover without the last climb: 26 ft - 3 ft = 23 ft.
Number of full cycles to cover 23 ft: 23 ft / 3 ft per cycle = 7.67 cycles. Since she can't do a partial cycle, we round down to 7 full cycles, covering 21 ft (7 cycles * 3 ft/cycle).
Remaining distance after 7 cycles: 26 ft - 21 ft = 5 ft, which she covers in her last climb.
Each cycle takes 2 minutes and 10 seconds (2 minutes for climbing up 5 feet and 10 seconds for slipping back 2 feet). Since 10 seconds is 1/6 of a minute, each cycle takes 2 + (1/6) = 2.167 minutes. For 7 cycles, the time is 7 cycles * 2.167 minutes/cycle = 15.17 minutes. The final climb of 5 ft takes an additional 2 minutes, resulting in a total time of 17.17 minutes to reach the top.
If the probability that the Cavaliers will win the NBA championship this year is 7/11, what are the odds that the Cavaliers will lose the NBA championship?
Answer:
4 out of eleven
Step-by-step explanation:
what is 10 1/3 as a improper fraction and show your if you can.
Write an expression, that when using the Distributive Property, can be simplified to 12a + 18b - 6c.
will give BRAINEST
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
x + y = 8
x – y = 6
Probability problems that contain the words and or or are considered________ probability problems.
Final answer:
Compound probability problems use 'and' or 'or', applying multiplication or addition rules respectively, and can be visualized with Venn or tree diagrams.
Explanation:
Probability problems containing the words and or or are considered compound probability problems. The word and typically indicates the use of the multiplication rule, implying that you need to find the likelihood of both events occurring together, which is the product of their individual probabilities. Conversely, when you encounter the word or, it suggests the need for the addition rule, implying that you should add the probabilities of each event and subtract the probability of both events occurring together to find the total probability of either event happening. This can be visualized through Venn diagrams, which are useful in representing the different events and their intersections, as well as tree diagrams which provide a visual way of breaking down compound probabilities.
6 divided by 1/3 equals
6 divided by 1/3 equals 6 times 3
6*3 = 18
For a circle of radius 5 feet, find the arc length s subtended by a central angle of 42 degress
Final answer:
To calculate the arc length of a circle with a radius of 5 feet and a central angle of 42 degrees, convert the angle to radians and multiply by the radius to get the arc length, which is 7π/6 feet or approximately 3.665 feet.
Explanation:
To find the arc length s subtended by a central angle of 42 degrees in a circle with a radius of 5 feet, first convert the angle from degrees to radians. Since there are 2π radians in 360 degrees, you multiply the angle in degrees by π/180 to get radians. Therefore, the central angle in radians is 42 * (π/180) = 7π/30 radians. The arc length s is then found by multiplying the central angle in radians by the radius of the circle (s = rθ).
Using the formula s = rθ, you have:
s = 5 * (7π/30) = 35π/30 = 7π/6 feet.
Therefore, the arc length s is 7π/6 feet, or approximately 3.665 feet.
The sum of two consecutive integers is −225. Find the two integers
If The sum of three consecutive even integers is 162, what is the first of the three even integers?
Your hint if x and x +2 represent the first two consecutive even integers, then how would the third consecutive even Integer be represented
Cal has a sports trading card collection with 30 baseball cards, 25 basketball cards, and 45 football cards. What percent of his cards are basketball cards?
total cards = 30 + 25 + 45 = 100
25 are basket ball
25/100 = 0.25
0.25 = 25%
25% are basketball
Answer:
25%
Step-by-step explanation:
Erica has a box with 10 pencils in it. she wants to give 0.3 Of the pencils in the box to her sister. which model represents the number of pencils Erica have to her sister
3 inches is what fraction of a foot
In the context of measurements, 3 inches is equivalent to 1/4 or 0.25 of a foot because 1 foot is composed of 12 inches.
Explanation:The student is asking about the fraction that represents 3 inches in relation to a foot. In order to answer this, we need to know that 1 foot equals 12 inches. Therefore, we can represent 3 inches as a fraction of a foot by dividing 3 (the number of inches) by 12 (the number of inches in a foot). So, 3 inches is 1/4 or 0.25 of a foot.
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In a recent survey 7 out of 10 people prefer coffee in the morning the rest said they prefer tea if 27 people said they prefer tea how many people were interviewed
A total of 90 people were interviewed in the survey, which was determined by setting up a proportion based on the information that 7 out of 10 people prefer coffee and the remaining prefer tea, with 27 people preferring tea.
To solve the problem, we need to determine the total number of people surveyed based on the information given about their preferences for coffee and tea in the morning.
According to the survey, 7 out of 10 people prefer coffee. The rest, which is 3 out of 10, prefer tea. We are told that 27 people prefer tea. To find the total number of people surveyed, we set up a proportion where 3 people out of 10 is equivalent to 27 people out of the total number of people interviewed:
Let x represent the total number of people interviewed.Set up the ratio: 3/10 = 27/x.Cross multiply to solve for x: 3x = 270.Divide both sides by 3 to find x: x = 90.So, a total of 90 people were interviewed.
The Nygen family wants to put a circular fence around their pool. They want it to be exactly 11 feet from the center of the pool. How many feet of fencing do they need to buy?
mathematical modeling results in formulas that give exact values of real world phenomena over time
multiply 5 × 381 using place value and expanded form
One of the events at the circus starred Gabriella the Human Cannonball. On Saturday she performed in four shows. Shot from a cannon, her distances measured 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters. What was the total distance Gabriella flew that day?
The total distance Gabriella flew that day with distances measuring 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters is,
⇒ 51.44 meters
The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that,
On Saturday she performed in four shows.
Shot from a cannon, her distances measured 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters.
Now, To find the total distance Gabriella flew that day with distances measuring 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters we can add all the distances,
⇒ 8.05 m + 17.71 m + 14.38 m + 19.35 m
⇒ 51.44 meters
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DIVIDING ALGEBRAIC FRACTIONS HELPP!!!!
8/9-a^2 divided by 4a^2-4a-24/a^2-6a+9
Drag the correct tiles that match.?
ABC Office Supply offers an electric typewriter for $129.95. If ABC received a 15% markup on cost by selling the typewriter at this price, what was the cost of the typewriter to ABC?
chose the graph that represents the equation y=|x-4|
Answer:
V shape.
Vertex at (4,0)
Intersect with y axis at (0,4)
Step-by-step explanation:
In order to solve this you just ahve to search fo the graph that grows like a V because when you deal with functions that have absolute values you can have negative and positive values for the independent variable but not for the dependent, in this case x is the independent so x will have negative and positive values while Y will only grow in the postives, now the vertex of the function is found where Y=0 so to calculate that you equal the function to 0
y=|x-4|
0=|x-4|
x=4
So the vertex will be at (4,0) and the intersect with the y axis will be located where x=0, so you evaluate the function for 0:
y=|x-4|
y=|o-4|
y=|-4|
y=4
So the intersect with the y axis will be at (0,4).
Given a sphere with volume V, the formula
r = 0.62V
1
3
may be used to approximate the sphere's
radius r.
Find the approximate radius of a sphere that has a volume of
512 in3.
The approximate radius of a sphere that has a radius of
512 in3
is ___ in