Find the product of 4.5 x 1012 and 5.12 x 109. Write the final answer in scientific notation.
The scientific notation of products of 4.5 x 10¹² and 5.12 x 10⁹ will be 2.304 x 10²² .
Given, the product of 4.5 x 10¹² and 5.12 x 10⁹
The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
If a number is written as exponents of 10 and decimal imposed after 1 digit then it is called scientific notation.
Therefore, product of 4.5 x 10¹² and 5.12 x 10⁹ = 4.5 x 10¹² × 5.12 x 10⁹
= (4.5 x 5.12)(10¹² x 10⁹)
= 23.04 x 10²¹
But in scientific notation, we only can put 1 digit before the decimal place.
So, 2.304 x 10²² will be correct.
Hence the scientific notation of products of 4.5 x 10¹² and 5.12 x 10⁹ will be 2.304 x 10²².
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Vijay's family is leaving for Galactic Gardens Resort once his parents get home from work on Friday. Their house is 544 miles from the resort. They plan to stop and spend the night at a hotel after 3 hours of driving, then complete the rest of the trip on the second day. If their average speed is 64 miles per hour, how long will they drive on the second day?
Write your answer as a whole number or a decimal
The time taken by Vijay's family to drive on the second day is 5.5 hours.
What is Distance?
Distance is the total movement of an object without any regard to direction.
Given that;
Vijay's family house is 544 miles from the resort.
Vijay's family plan to stop and spend the night at a hotel after 3 hours of driving.
Average speed = 64 miles per hour.
Now, For 3 hours of driving at an average speed of 64 miles per hour, the distance covered is,
⇒ d = 64 x 3 = 192 miles
And, Remaining distance for the second day is,
⇒ 544 - 192 = 352 miles
Hence, Time taken for distance 352 miles second day is,
T = 352 / 64 = 5.5 hours
So, The time taken by Vijay's family to drive on the second day is 5.5 hours.
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Kosanga lives in San Mateo. He bought an item for $844.29 and when the clerk calculated the sales tax it came out to exactly $88.87287. Round the sales tax to the nearest
The sales tax to the nearest dollars is $89 whereas it is $88.87 to the nearest cents.
How many figures after decimal is cents?The cents is normally expressed to 2 decimal places, in other words, the sales in cents in this case is to express the sales tax amount to 2 figures after the decimal which is $88.87 since the 2 before 7 is insignificant and cannot be rounded to 1 because it is less than 5.
In dollars, the sales tax is $89 because the 8 after the decimal when rounded to 1 and added to 8 gives 9.
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Full question: Kosanga lives in San Mateo. He bought an item for $844.29 and when the clerk calculated the sales tax it came out to exactly $88.87287. Round the sales tax to the nearest:(a) dollars(b) cents
The sales tax when rounded to the nearest dollars is $89 whereas it is $88.87 to the nearest cents.
How many figures after decimal is cents?The cents is normally expressed to 2 decimal places, in other words, the sales in cents in this case is to express the sales tax amount to 2 figures after the decimal which is $88.87 since the 2 before 7 is insignificant and cannot be rounded to 1 because it is less than 5.
In dollars, the sales tax is $89 because the 8 after the decimal when rounded to 1 and added to 8 gives 9.
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Full question:
Kosanga lives in San Mateo. He bought an item for $844.29 and when the clerk calculated the sales tax it came out to exactly $88.87287. Round the sales tax to the nearest:
(a) dollars
(b) cents
A point is plotted on the number line at 435 . A second point is plotted at −334 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
units
Answer:
769
Step-by-step explanation:
The distance is the positive difference between the coordinates.
[tex]|-334-435| = 769[/tex]
Answer:
-123/40 And If k12 Write Problem-123/40
Step-by-step explanation:
THE 209 ANSWER EXPLANATION:\On the number line distance between 0 and -93 is 94 units and the distance between 0 to 114 is 115 units.Total distance=94+115=209 units.Therefore, the distance between −93 and 114 on a number line is 209 units.The distance between −93 and 114 on a number line is 209 units.to get from 0 to 114 that is 114 numbersthen to get from -93 to 0 which is 93 numbersadd 114 and 93 to get 207Stop get from 0 to 114 that is 114 numbersthen to get from -93 to 0 which is 93 numbersadd 114 and 93 to get 207-123/40 EXPLINATIONWell, Your Dividing,Multiplying, And Subtracting SOOOOO
IT'S KINDA OBVIOUS...
ANSWERS AT THE BOTTOM ALSO!
Eva is saving up to buy a computer.
The computer costs £690
Eva has £429
How much more does Eva need to save?
Answer: £261
Step-by-step explanation: Subtracting 429 from 690 will give you 261 which is the remaining amount needed to purchase the computer.
what is the mode of this?
Answer:
There is no mode for this distribution.
Step-by-step explanation:
The mode is the value that appears most frequently in a data set. If there are no repeating numbers in a given list, there is no mode existing for that particular list.
I want to plant 45 sunflower plants and 63 tomato plants in my garden. If I put the same number of plants in each row, with only one type of plant in each row, what is the greatest number of plants I can put in one row?
Answer:
the most you can do is put 15 of particular plant in a row because if you take the 60 / 15 you get four and if you take 45 / 15 and you get three so then you could have three rows of sunflowers and four rows of tomatoes of 15 big brain
Trains on two different routes stop at the same train station.
Trains on one route stop there every 9 minutes and trains on the other
route stop there every 6 minutes.
Trains on both routes stop at the train station at midday. How many minutes
later will it be when trains on both routes next stop there at the same time ?
The time when the two trains on both routes next stop there at the same time is ; 18 minutes
How to find the L.C.M?The LCM which means Lowest Common Multiple of two or more numbers is defined as the smallest number among all common multiples of the provided numbers.
Now, we are told that Trains on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes.
Now, to get the time when the two trains on both routes next stop there at the same time, we will find the L.C.M of both times to get;
Factorization of 6 = 2 * 3
Factorization of 9 = 3 * 3
Thus, the L.C.M = 2 * 3 * 3 = 18 minutes
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done earned 97.50 for 10 hours of work Amy earned $120 for 12 hours of work how much did each person earn per hour how can you use this information to compare their earnings?
Answer:
Done: $9.75 an hour
Amy: $10 an hour
Amy makes more than Done per hour
Step-by-step explanation:
[tex]Done:\\97.50/ 10 = 9.75\\Amy:\\120/12=10\\[/tex]
Which expression is equivalent to 16.8 - 18.6?
A. 18.6 - 16.8
B. -18.6 + (-16.8)
C. 16.8 + (18.6)
D. 16.8 - (-18.6)
The expression is equivalent to 16.8 - 18.6 is 16.8 + (-18.6)
How to determine which expression is equivalent to 16.8 - 18.6?The expression is given as
16.8 - 18.6
The additive inverse property states that:
a - b = a + (-b)
Using the above as a guide, we have the following expression that is equivalent
16.8 - 18.6 = 16.8 + (-18.6)
Hence, the expression is equivalent to 16.8 - 18.6 is 16.8 + (-18.6)
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What is the sum of 6 cups and 4 pints?
Answer:
14 us cups
Step-by-step explanation:
The daily upper limit for vitamin C is 2,000 milligrams. In the morning, Marcelo takes a vitamin containing 500 milligrams of vitamin C. An orange contains 100 milligrams of vitamin C. Let x be the number of oranges Marcelo can eat without reaching the daily limit for vitamin C. Choose the correct inequality.
Answer: He can eat 14 oranges without reaching the daily limit if he already took the vitamin.
708 dividido en 68 con procedimiento porfa
When the number 708 is divided into 68 then the result would be 10⁷/₁₇.
What is 708 divided by 68?When you divide 708 by 68, the result would be:
= 708 / 68
= 10 with a remainder
To find the remainder:
= 708 - (68 x 10)
= 708 - 680
= 28
This means that 708 divided into 68 is:
= 10²⁸/₆₈
Take this to the simplest form by dividing both the numerator and the denominator by the greatest common factor of 28 and 68 which is 4:
= (28 / 4) / (68 / 4)
= 7 / 17
708 divided into 68 is:
= 10⁷/₁₇
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Write your answer as a fraction or as a whole or mixed number
2 6/8 + 3 5/8 =
Answer:
6 3/8
Step-by-step explanation:
2 6/8 + 3 5/8
= (2 + 3) + ( 6/8 + 5/8)
= 5 + (6 + 5)/8
= 5 + 11/8
= 5 + 1 3/8
= 6 3/8
Light cell phone company bills on a monthly basis each bill includes a $19.95 service fee for 500 minutes plus a $3.95 communication tax and 15 cents for each minute over 500 minutes the following expression describes the cost of the cell phone service per month : 23.90 + 0.15m if satellite cell phone lowers its
The total cost of the service in the light cell phone company is $24.05.
According to the statement,We have to find that the cost of the cellphone service.
So, For this purpose, we know that the
A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.
From the given information:
Each bill includes a $19.95 service fee for 500 minutes plus a $3.95 communication tax and 15 cents for each minute over 500 minutes.
Then
Total cost become of 500 minutes = service fee + communication tax + Cost per minute
Then
Total cost become of 500 minutes = $19.95 + $3.95 + 15 cents
We know that the 0.15 dollars in 15 cents.
Then
Total cost become of 500 minutes = $19.95 + $3.95 + $0.15
Total cost become of 500 minutes = 24.05.
So, The total cost of the service in the light cell phone company is $24.05.
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Which is not an equation of the line going through (6, 7) and (2,-1)?
A.y+1=2(x-2)
OB. y-7-2(x-6)
OC. y-1-2(x+2)
D. y=2x-5
The equation of the line that do not pass through (6, 7)(2, -1) is y - 1 = 2(x + 2)
How to express equation of a line?The equation of a line can be express in different form. example includes slope intercept form and point slope form.
Let's express the equation in slope intercept form.
y = mx + b
where
m = slopeb = y-interceptTherefore,
(6, 7)(2, - 1)
m = -1 - 7 / 2 - 6
m = -8 / - 4
m = 2
Therefore, using (6, 7)
y = 2x + b
7 = 2(6) + b
b = 7 - 12
b = - 5
Hence,
y = 2x - 5
Therefore, in point slope form using (6, 7) and (2, -1)
y - y₁ = m(x - x₁)
y - 7 = 2(x - 6)
using (2, -1)
y + 1 = 2(x - 2)
Therefore, the equation of the line that do not pass through (6, 7)(2, -1) is y - 1 = 2(x + 2)
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sum of the roots lf 4x2+8x+3=0
Roots x1, x2 = -3/2, -1/2; sum of roots -2, product of roots 3/8;
The sum of roots is what?
A quadratic equation's roots are equal to the second term's coefficient negated, divided by the leading coefficient. The constant term (the third term), divided by the leading coefficient, is equivalent to the product of the roots of a quadratic equation.
based on the information provided;
a detailed explanation:
Sum of roots= -b/a
Sum of roots of the equation
⇒ -8/4 = -2
Product of roots
Product of roots of the equation
⇒ 3/8
Roots of the equation 4x²+8x+3
4x²+8x+3 = (2x+3)(2x+1) = 0
⇒ 2x+3 = 0 ⇒ 2x+1 = 0
⇒ 2x = -3 ⇒ 2x = -1
⇒ x₁ = -3/2 ⇒ x₂ = -1/2
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find the pattern write a rule for the table
Enola needs to order some new supplies for the restaurant where she works. The restaurant needs at least 767 spoons. There are currently 263 spoons. If each set on sale contains 12 spoons, use the drop-down menu below to write an inequality representing ss, the number of sets of spoons Enola should buy.
The number of sets of spoons Enola should buy is given by this inequality: ss ≥ 42.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Based on the information provided, the total number of sets of spoons after ss sets are purchased is given by:
T(ss) = 263 + 12ss
The number of sets of spoons needed by the restaurant is given by this inequality:
T(ss) ≥ 767
Substituting the value of T(ss) into the inequality above, we have;
263 + 12ss ≥ 767
12ss ≥ 767 - 263
12ss ≥ 504
ss ≥ 504/12
ss ≥ 42
In conclusion, the number of sets of spoons Enola should buy is 42.
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which number is greater -4.2 or -4.2???. sorry don't have to much points
Write each of the following numbers correct to 3 significant figures.
a) 37412
b) 84563
c) 261.42
d) 0.3684
e) 0.002615
f) 0.0025713
A) Rounding up 37412 to 3 Significant figures gives; 37400
B) Rounding up 84563 to 3 Significant figures gives; 84600
C) Rounding up 261.42 to 3 Significant figures gives; 261.00
D) Rounding up 0.3684 to 3 Significant figures gives; 0.368
E) Rounding up 0.002615 to 3 Significant figures gives; 0.00262
F) Rounding up 0.0025713 to 3 Significant figures gives; 0.00257
How to approximate to 3 significant figures?
3 Significant figures simply means 3 number of non-zero positive integers or whole numbers/ Thus;
A) Rounding up 37412 to 3 Significant figures gives; 37400
B) Rounding up 84563 to 3 Significant figures gives; 84600
C) Rounding up 261.42 to 3 Significant figures gives; 261.00
D) Rounding up 0.3684 to 3 Significant figures gives; 0.368
E) Rounding up 0.002615 to 3 Significant figures gives; 0.00262
F) Rounding up 0.0025713 to 3 Significant figures gives; 0.00257
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STORY:
Fred and Barney are best
friends. Fred is 188 centimeters
tall, and Barney is 157 centimeters
tall. When Barney wears his special hat
it adds 44 centimeters to his height. When Barney wears his special hat , How much taller is he than Fred?
Answer:
13
Step-by-step explanation:
1.) Add up 157 + 44
2.) Subtract the sum of 157 + 44 by 188
Consider the graph given above. Add a new edge so the resulting graph has an Euler path (without repeating an existing edge). ______
Use Fleury's Algorithm to find an Euler path through the graph using this new edge by listing the vertices in the order visited. _______
Use Fleury's Algorithm to find an Euler path through the graph using this new edge by listing the vertices in the order visited is; G-H-L-K-G-J-I-G
How to find Euler's Path?A quick examination of the given graph tells us that two of the seven vertices (G, I) have an odd number of edges while the other five (F, H, J, K, L) have an even number. Since every vertex must have an even number of attached edges for us to possibly construct an Eulerian circuit, our first step is necessary to add an edge connecting G to I.
A somewhat easy way to now construct an Eulerian circuit would be to take our original graph (i.e. without the G-I edge) and find an Eulerian path from D to H, then end by taking our added D-H edge back to D.
The way to find Fleury's Algorithm, is that;
1) Start with classifying the vertices of the given graph as odd and even. If there are 0 or 2 odd vertices, then continue with the algorithm.
2) Begin with any one of the odd vertices, if they exist, otherwise arbitrarily choose a vertex as the starting point.
3) Travel every edge exactly once such that the bridges in the graph are travelled at the end.
4) Stop when all the edges are travelled.
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solving compound inequality (x>-4)^(x>2)
Answer: There is no solution.
The given steps for constructing a line tangent to circle O that passes through point P outside the circle are listed out of order.
Arrange the steps in the correct sequence.
A. From M, set the compass width to MO.
B. Draw a line from the center, O, to a given point P.
C. Draw the tangent line from P to N.
D. Make an arc that intersects the circle to create point N.
E. Construct the perpendicular bisector of segment OP to find the midpoint, M.
Solution : ADEBC
Arc: The length of any arc is s = r θ , where is the length of the arc, is the radius, and is the measure of the angle in radians. Use the fact that is equal to to convert between degrees and radians. A subtended arc is the part of the circle in between the two rays that make the central angle.
Arc length formula is used to calculate the measure of the distance along the curved line making up the arc (a segment of a circle). In simple words, the distance that runs through the curved line of the circle making up the arc is known as the arc length. It should be noted that the arc length is longer than the straight line distance between its endpoints.
the perpendicular bisector of the segment :
A perpendicular bisector can be defined as a line segment that bisects another line segment at 90 degrees. In other words, a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts.
A. From M, set the compass width to MO.
D. Make an arc that intersects the circle to create point N.
E. Construct the perpendicular bisector of segment OP to find the midpoint, M.
B. Draw a line from the center, O, to a given point P.
C. Draw the tangent line from P to N
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Which categories does 3.7 belong to?
Answer:
Step-by-step explanation:
what categories are you refferring to so i can help?
Solve the following equation. x/6 + 2 = 8Then place the correct number in the box provided.
Answer:
x = 36
Step-by-step explanation:
Solve the following equation. x/6 + 2 = 8Then place the correct number in the box provided.
x/6 + 2 = 8
x/6 = 6
x = 6 * 6
x = 36
-----------------
check
36/6 + 2 = 8
6 + 2 = 8
8 = 8
the answer is good
Answer:36
Step-by-step explanation:
subtract 2 from both sides to isolate x.You then get x/6=6.36/6=6
A piece of plywood 24 inches wide is cut into strips 2 ½ inches wide. How many strips of this width can be cut? Strips.
Answer:
9 Strips
Step-by-step explanation:
24 / 2.5 = 24 ÷ [tex]\frac{5}{2}[/tex] = [tex]\frac{24}{1}[/tex] x [tex]\frac{2}{5}[/tex] = [tex]\frac{48}{5}[/tex] = 9.6
This is rounded down to 9.
Can you please help me
Answer:
25 and 6
Step-by-step explanation:
50 Points
PLEASE SOLVE THIS :)
Length of AB = 0.32
Here it is given that the length of BC = 2, and ∡ABC = 50°
The trigonometry formula is
cos Ф = base / hypotenuse
sin Ф = height / hypotenuse
cos 50° = 0.64
Here cos 50° = BC/ AB
Here we have to find the value of AB.
So we have
0.64 = 2/ AB
AB = 0.64/2
= 0.32
Therefore the length of AB is 0.32.
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