The scientific notation of the given number is 3.708 × [tex]10^9[/tex]. Therefore, option B is the correct answer.
The given number is 3,708,000,000.
What is scientific notation?Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.
Now, 3,708,000,000 can be written in scientific notation as 3.708 × [tex]10^9[/tex].
The scientific notation of the given number is 3.708 × [tex]10^9[/tex]. Therefore, option B is the correct answer.
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Please show work!!!!!!!
Ilya and Dan shared 360 hats in the ratio 7:5. How many more hats did Ilya have than Dan?
A square floor has 100 tiles. each tile is one square foot. what is the length of one side of the square floor?
A) 10 feet
B) 20 feet
The length of one side of the square floor is 10 feet because the square root of the total area (100 square feet) is 10.
Explanation:The subject of this question involves understanding the properties of a square in geometry. In a square, all sides are equal. If the total area of the square floor is 100 square feet (since each tile is 1 square foot), you determine the length of a side by finding the square root of the total area. The square root of 100 is 10. So, each side of the floor is 10 feet long. Therefore, the correct answer is Option (A) 10 feet.
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What two fractions are equivalent to 24/84
25 PTS!!! 3 students have gotten 3 different scores on a test, their scores were 87%, 75%, and 90%. Those 3 students want to know the average score for them.
Can anyone help me find the slope??
Answer:
The slope is -3/4
Explanation:
To find the slope of a line, you can use the "rise over run" method where you count how many units from one point to the next the line increases or decreases along the y-axis and place this number in the numerator of a fraction; then, count how many units to the left or right that same point is along the x-axis and place this number in the denominator. Simplify if necessary and that becomes the slope.
So, assuming each tick on the axes is 1 unit, to get from the leftmost point to the rightmost point, we go down 3 units on the y-axis ("rise" -3 units) and to the right 4 units ("run" 4 units). Therefore, the slope is -3/4
The method I like to use the most because it involves the actual math of finding a slope is plugging plotted points into the slope formula. The slope formula is [tex]\frac{Y2 - Y1}{X2 - X1}[/tex] where two points along the line (X1, Y1) and (X2, Y2) are used.
Again, assuming, each tick is 1 unit, the plotted points on the line in the image are (-2, 2) and (2, -1). Now, we plug these ordered pairs into the formula and solve:
[tex]\frac{Y2 - Y1}{X2 - X1} = \frac{-1 - 2}{2 - (-2)} = \frac{-3}{2 + 2} = \frac{-3}{4}[/tex]
Therefore, the slope is -3/4
each bag of pattern blocks contains 50 block. to make a class pattern, the teacher combines 4 bags of blocks. how many pattern blocks are there?
you can buy 5 cans for green beans at the village market for $3.60. You can buy 10 of the same cans of beans at Sam's club for $6.90. Which place is better buy?
Final answer:
To find the better buy for cans of green beans, calculate the cost per can at both stores and compare. Sam's Club sells at $0.69 per can which is cheaper than the Village Market's $0.72 per can, hence Sam's Club is the better buy.
Explanation:
To determine which place offers a better buy for the cans of green beans, we need to calculate the price per can at both the Village Market and Sam's Club. Then, we can compare the two to see which is cheaper.
At the Village Market, 5 cans cost $3.60. To find the cost per can, divide $3.60 by 5. $3.60 ÷ 5 = $0.72 per can.
At Sam's Club, 10 cans cost $6.90. To find the cost per can, divide $6.90 by 10. $6.90 ÷ 10 = $0.69 per can.
Sam's Club offers a lower price per can than the Village Market, making it the better buy for the cans of green beans.
y=2x+3 what type of graph represents the solutions of the equation?
write a system of equations that has (2,7.5) as its solution
Complete the following statement. If AB = BC and A,B,C are collinear, then b is the BLANK of AC
Answer:
the cube root
Step-by-step explanation:
The completed statement would be: "If AB = BC and A, B, C are collinear, then B is the midpoint of AC."
In the statement "AB = BC" and "A, B, C are collinear", we have three points [tex]\( A \), \( B \), and \( C \)[/tex] lying on the same line.
When [tex]\( AB = BC \)[/tex], it means that the distance from point A to point B is equal to the distance from point [tex]\( B \)[/tex] to point [tex]\( C \)[/tex]. Geometrically, this implies that point [tex]\( B \)[/tex] is located exactly halfway between points [tex]\( A \)[/tex] and [tex]\( C \)[/tex] on the line.
So, in this scenario, [tex]\( B \)[/tex]serves as the midpoint of the line segment [tex]\( AC \),[/tex] dividing it into two equal parts. This is a fundamental property of collinear points and equality of segments in geometry.
Is -4.08 bigger or smaller than -4.7
A healthy human heart beats about 1,533,000 times in a year. A sparrow's heart beats about 241,776,000 times in a year. About how many times faster does the sparrow's heartbeat compared to the human heart?
A. 2×1082×106=1×102or about 100 times faster
B. 2×1092×106=1×103or about 1,000 times faster
C. 2×1082×105=1×103or about 1,000 times faster
D. 2×1092×105=1×104or about 10,000 times faster
Answer:A
Step-by-step explanation: if you count the places, it’s 10 to the 8th power and 10 to the 6th power so that makes it A
The sparrow's heart beats approximately 158 times faster than a human heart. None of the options provided (A, B, C, or D) match this calculation.
Explanation:To find how many times faster the sparrow's heartbeat is compared to the human heart, you divide the number of times the sparrow's heart beats by the number of times a human heart beats. Thus, you would perform 241,776,000 ÷ 1,533,000. The result of this division is approximately 157.7, which means that the sparrow's heart beats about 158 times faster than a human heart.
None of the options provided in the question (A, B, C, or D) match this result, indicating there may be a mistake. Always remember, the correct way to compare in such circumstances is to do division, and not multiplication or addition.
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The first four terms of a sequence are shown below 1, 4, 7, 10. Which formula can be used to determine the nth term in the sequence
Final answer:
The nth term of the given arithmetic sequence 1, 4, 7, 10 can be determined using the formula 3n - 2.
Explanation:
The student is trying to find a formula that can be used to determine the nth term of a sequence given its first four terms: 1, 4, 7, 10.
This sequence is arithmetic, meaning each term increases by a constant difference, which in this case is 3.
To find the nth term of an arithmetic sequence, we use the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference between the terms. For this sequence:
a1 is 1 (the first term of the sequence)d is 3 (the difference between successive terms)Substituting these values into the formula, we get:
an = 1 + (n - 1)×3
Therefore, the nth term an can be simplified to 3n - 2. So, the formula 3n - 2 can be used to determine the nth term in the sequence.
Mrs Delgado needs to buy 160 begonias. One plant costs $2. One flat with 20 plants cost $30. How many dollars will she save if she buys them by flat instead of separately?
on monday, steven read o pages of his new book. To finish the first chapter on tuesday, he needs to read double the number of pages he read on monday. How many pages does he need to read on tuesday?
Find the area 34 1/2 and 36 1/2
a computer repairman charges an initial fee of $100 plus an hourly fee of $75.
Mr. Billings paid the repairman $475. How many hours did the repairman work?
Answer:
The repairman worked 5hours
Step-by-step explanation:
Initial fee = $100
Charge per hour = $75
This simply implies that the repairman charges $100 and charge 75 for every hour worked.
Initial fee = $100
Charge per hour = $75
To find the hours work when his total work fee is 475, we should understand that,
Total work fee = initial fee + total charges
Total charges = charge per hour * hour worked.
Total work fee = initial free + (charge per hour * hour worked.)
475 = 100 + 75*h
Collect like terms
75h = 475 - 100
75h = 375
Divide both side by 75 .
75h/75 = 375/75
h = 5.
Since h represent hour work by the repairman.
The repairman worked 5hours
how can you compare fractions with the same denominators
sneakers are normally $89.99 but are discounted to $56.49. what percent of the original does raymond pay?
There is a frog jumping contest in Hippity Hop County. Leaping Larry jumps 18cm every 6 seconds.
Bouncing Billy jumps 7 cm every 3 seconds.
What is the difference in the distance they jumped at the end of 1 minute?
Simplify this equation for me please, thanks :D
7/8m + 9/10 - 2m - 3/5
Which of the following equations describe the line (-6, 2) (-1, -4)? (Graph below)
A. y - 4 = -5/6(x - 1)
B. y - 2 = -5/6(x + 6)
C. y + 4 = -6/5(x + 1)
D. y + 4 = -5/6(x + 1)
E. y - 2 = -6/5(x + 6)
F. y - 6 = -6/5(x + 2)
Answer: c.
Step-by-step explanation:
Serena is cycling from a dance class to her home the equation shows Serena’s distance (y) in miles from her home after x minutes
Y=16-6x
What does the number 16 in the equation represent
16 is the original distance her dance class was from home.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Serena is cycling from a dance class to her home the equation shows Serena’s distance (y) in miles from her home after x minutes
Y = 16-6x
The given equation is the equation of the line with a slope of -6 and the y-intercept is 16.
Here, 16 is the original distance her dance class was from home.
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A company earned $675 power washing driveways. They charged $45 to power wash each driveway. How many driveways did they power wash? A:10 B:11 C:14 D:15
Multiply:
453
x 1.1
-------
A) 49.83
B) 56.43
C) 498.3
D) 564.3
D=2730 mi t=9.75 h find r
The student can find the rate by using the formula r = D/t, which yields approximately 280 miles per hour when substituting the provided values.
Explanation:The student is provided with distance (D) and time (t) and needs to find the rate (r). This is a typical problem that can be solved using the fundamental relationship between these variables, which is expressed by the equation D = r*t. To find r, we can rearrange this equation to get r = D/t.
Substituting the provided values into the formula gives r = 2730 mi/9.75 h = 280 mi/h approximately. Therefore, the rate or speed of the journey is 280 miles per hour.
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A couple plans to have four children. Using a tree diagram , obtain the sample space. Then, find the probability that the family has no boys.
The probability that the family has no boys is [tex]\(\frac{1}{16}\)[/tex] or 0.0625.
At each level, the tree branches into two, representing the two possible genders for that child. Since there are four children, there will be [tex]\(2^4 = 16\)[/tex] branches at the end of the tree, each representing a unique sequence of genders for the four children.
The sample space, therefore, consists of 16 possible outcomes, which are:
1. BBBB
2. BBBG
3. BBGB
4. BBGG
5. BGBB
6. BGBG
7. BGGB
8. BGGG
9. GBBB
10. GBBG
11. GBGB
12. GBGG
13. GGBB
14. GGBG
15. GGGB
16. GGGG
Now, we want to find the probability that the family has no boys. From the sample space, there is only one outcome where all four children are girls (GGGG).
Since each outcome is equally likely, and there are 16 possible outcomes, the probability of having no boys is the number of favorable outcomes (in this case, 1) divided by the total number of possible outcomes (16).
Therefore, the probability [tex]\(P\)[/tex] of having no boys is:
[tex]\[ P(\text{no boys}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{16} \][/tex]
Which of the following is the correct way to write seventy million as a numeral? 7000,0000 70,00,00,00 700,00000 70,000,000
3. A recipe calls for 1 1/2 cups of flour, 3/4 a cup of white sugar, and 1/8 a cup of brown sugar. (a) How many total cups of ingredients are there? Show your work using a number line. (b) Which of the following mixing bowls can you use to make the recipe: 2-cup, 3-cup, or 4-cup?
Answer:
a) 19/8
b) 3 cup since it's 2.4
Give brainliest answer Nadal invests $5,678 at an annual interest rate of 4.5 percent for 6 years. For which variable can Nadal substitute the value 5,678 in the simple interest formula?i-prt A.I B.p C.r D.t
Answer:
B. p
Step-by-step explanation:
Since, the simple interest is,
[tex]I=p\times r\times t[/tex]
Where, p is the invested or principal amount,
r is the annual rate of interest ( In decimal ),
t is the time ( In years ),
It is given,
$5,678 is invested at an annual interest rate of 4.5 percent for 6 years.
⇒ p = 5678, r = 4.5 % = 0.045 and t = 6,
Hence, he can substitute p for the value 5,678 in the simple interest formula.