What is the relationship between 8.76×106 and 8.76×102 ? Select from the drop-down menus to correctly complete the statement. 8.76×106 is times than 8.76×102 .
Answer:
[tex]8.76\times 10^6[/tex] is 10,000 times [tex]8.76\times 10^2[/tex].
Step-by-step explanation:
Let [tex]8.76\times 10^6[/tex] be n times [tex]8.76\times 10^2[/tex].
We have been given two numbers [tex]8.76\times 10^6[/tex] and [tex]8.76\times 10^2[/tex].
We can represent this information in an equation as:
[tex]8.76\times 10^2\cdot n=8.76\times 10^6[/tex].
[tex]\frac{8.76\times 10^2\cdot n}{8.76\times 10^2}=\frac{8.76\times 10^6}{8.76\times 10^2}[/tex]
[tex]n=\frac{8.76\times 10^6}{8.76\times 10^2}[/tex]
Using exponent property of fractions [tex]\frac{a^m}{a^n}=a^{m-n}[/tex], we will get:
[tex]n=\frac{8.76\times 10^{6-2}}{8.76}[/tex]
[tex]n=1\times 10^{4}[/tex]
[tex]n=10,000[/tex]
Therefore, [tex]8.76\times 10^6[/tex] is 10,000 times [tex]8.76\times 10^2[/tex].
A group of students and teachers are going on a field trip? One ninth of the group will fit on 1/3 of a school bus. How many buses are needed to transport the entire group?
The entire group will need 3 buses to transport them on the field trip.
How many buses will be needed?Let total number of people in the group be represented by 'P'
We are told that 1/9 of the group can fit on 1/3 of a school bus.
So, this shows 1/9 of P = (1/3) of a bus; we will write an equation to find the total number of buses needed
==>
(1/9)P = (1/3) bus
P = (1/3) bus * 9
P = 9/3
P = 3 buses.
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A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair of pants, and a scarf. It took her 26.1 seconds for the shirt, 24.3 seconds for the sweater, 32.8 seconds for the pants, and 18.2 seconds for the scarf. What was the average time it took Janette to fold and put away all four items?
Salumé bought 4.59 pounds of lobster for $39.98. How much did she spend per pound of lobster? Round your answer to the nearest cent. A. $7.11 B. $35.39 C. $8.71 D. $9.99
What do you add to 2 3/8 to make 6
How many subsets of the set m,a,t,h,c,o,u,r,s,e contain at least one vowel
Final answer:
The given set contains 10 elements. Subsets with at least one vowel can be found by considering different combinations of vowels in the set which is 3 + 3 + 0 = 6.
Explanation:
The given set m,a,t,h,c,o,u,r,s,e contains 10 elements.
In order to find the number of subsets that contain at least one vowel, we need to consider the possible combinations of vowels in the set.
If we consider only one vowel, there are 3 vowels in the set (a, o, and u). Therefore, there are 3 choose 1 = 3 subsets.If we consider two vowels, there are 3 choose 2 = 3 subsets.If we consider three vowels, there is 1 choose 3 = 0 subset (as there is only 1 vowel left).Therefore, the total number of subsets that contain at least one vowel is 3 + 3 + 0 = 6.
To find the number of subsets of the set m,a,t,h,c,o,u,r,s,e that contain at least one vowel, we can count the number of subsets that have no vowels and subtract it from the total number of subsets.
Explanation:To find the number of subsets of the set m,a,t,h,c,o,u,r,s,e that contain at least one vowel, we can count the number of subsets that have no vowels and subtract it from the total number of subsets. The given set contains 9 consonants and 5 vowels. So, the number of subsets with no vowels is equal to the number of subsets of the 9 consonants, which is 2^9 = 512.
The total number of subsets of the given set is 2^14 = 16384. Therefore, the number of subsets that contain at least one vowel is 16384 - 512 = 15872.
please help me with this
Ernesto built a wooden car for a soap box derby. He is painting the top of the car blue and the sides black. He already has enough black paint, but needs to buy blue paint. He needs to know the approximate area of the top of the car to determine the size of the container of blue paint he should buy. He measured the length to be 9 feet 11.25 inches, and the width to be 0.5 inches less than 3 feet. Draw a diagram and label the measurements. What is the area of the top of the car? What is the most accurate area Ernesto can use to buy his paint?
What is the domain for the given function?
X. Y
-6. -7
-1. 1
0. 9
3. -2
A. {X|x= -6, -1, 0, 3}
B {y|y=7,-2,1,3,9
C ×|x = -7,-6,-2,-1,0,1,3,9
D. Y|y =-7,-6,-2,-1,0,1,3,9
how can i show my work for 0.4 divide 1.44
Pls help me I need help
What are the dimensions of his bedroom
Simple math question!
Eliana's calculator displays a number as 5.378 E9.
What is this number in standard form?
Enter your answer in the box.
Answer:
5,378,000,000
Step-by-step explanation:
The cost to rent a car is $30 per day. Write an expression for the cost of renting a car d days. Make a table to find how much it will cost to rent a car for 3, 5, 7, and 10 days.
[tex]c=30d[/tex]
The table can be made as follows:Number of days Cost
3 90
5 150
7 210
10 300
Step-by-step explanation:It is given that:
The cost to rent a car is $30 per day.
Now, the expression which is used to represent the cost for renting a car d days is:
[tex]c=30d[/tex]
where c is the cost of renting a car.
when d=3 we have:
c=90
( Since, 30×3=90 )
when d=5
c=150
( Since, 30×5=150 )
when d=7
c=210
( Since, 30×7=210 )
when d=10
c=300
( Since, 30×10=300 )
A shelf support 3 3/4. If a book weighs 3/8 of a pound, how many books can I think hold? If can add more support so the shelf hold 5 1/4 pounds, how many books can the shelf hold now?
Please help iv added a pic of the work sheet. I have to get this done by tomorrow
36 is 75% of what number
The percentage is the method of distributing the numbers in a range from 0 to 100. The number 36 is 75% of 48.
To find the number that 36 is 75% off, use the following steps:
Remember that per cent means "per hundred." So, 75% can be written as the fraction 75/100 or the decimal 0.75.
Let's call the unknown number "x". We want to find the value of "x" that satisfies the equation: 36 = 0.75 * x.
To solve for "x", we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.75.
36 / 0.75 = (0.75 * x) / 0.75
Simplifying the right side, we get:
36 / 0.75 = x
Evaluating the left side of the equation, we have:
48 = x
Therefore, 36 is 75% of 48.
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PLease help!!
Use the figure to the right to find the value of PT. T is the midpoint of PQ
PT=3x+2 and TQ= 5x - 8
Simplify your answer
What value makes 2 square root 51 equal to 10 square root 51x
A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair of pants, and a scarf. It took her 26.1 seconds for the shirt, 24.3 seconds for the sweater, 32.8 seconds for the pants, and 18.2 seconds for the scarf. What was the average time it took Janette to fold and put away all four items
Answer:
25.4 seconds
I'm a bit confused on how to get x, the example doesn't make sense either.
When you divide two fractions is the quotient always smaller than the dividend
Calculate 2,000-1,853
Please answer questions 1 and/or 2, thnx
What is the relationship between 5.34 x 10^5 and 5.34 x 10^-2?
5.34 x 10^5 is 100,000 times greater/less than 5.34 x 10^-2
5.34 x 10^5 is 1,000,000 times greater/less than 5.34 x 10^-2
5.34 x 10^5 is 10,000,000 times greater/less than 5.34 x 10^-2
5.34 x 10^5 is 100,000,000 times gteater/less than 5.34 x 10^-2
Answer: THAT MAKES NO SENCE
Step-by-step explanation:
A sack full of medals contains gold, silver, and bronze. If selected at random, the probability of picking a gold medal is 5/12. The probability of picking a silver medal is 1/3. What is the probability of picking a bronze medal? Express the probability as a number between 0 and 1.
Final answer:
The probability of picking a bronze medal is found by subtracting the probabilities of picking a gold and a silver medal from 1. As the probability of picking gold is 5/12 and silver is 1/3 (or 4/12), the probability of picking bronze is 1 - (5/12 + 4/12) = 1/4 or 0.25.
Explanation:
The probability of picking each type of medal from the sack adds up to 1 since one of the medals must be picked. Given the probability of picking a gold medal is 5/12 and the probability of picking a silver medal is 1/3, we can calculate the probability of picking a bronze medal by subtracting the probabilities of picking a gold or silver medal from 1.
First, let's find a common denominator for 5/12 and 1/3, which is 12. The probability of picking a silver medal expressed with the denominator 12 is 4/12 (since 1/3 equals 4/12).
Now, we add the probabilities of picking a gold or silver medal: 5/12 + 4/12 = 9/12.
Finally, we subtract this sum from 1 to find the probability of picking a bronze medal:
1 - 9/12 = 3/12, which simplifies to 1/4.
Therefore, the probability of picking a bronze medal is 1/4, or 0.25 when expressed as a number between 0 and 1.
Use complete sentences to describe why postulates are helpful.
Answer:
Postulates are the base structure of Mathematics.Step-by-step explanation:
Postulates are suggestion or assumptions that something is true based on reasoning, for example, the definition of a point in Euclidian Geometry.
Therefore, mathematics is grounded in systems of postulates that are tacitly true. Those postulates are used to define and demonstrate theorems, which are the strong structure of every law in Mathematics.
The postulates are helpful as they are taken to be true without proof and are basic structure from which lemmas and theorems are derived .
What are postulates?A statement, also known as an axiom, which is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived. The whole of Euclidean geometry, for example, is based on five postulates known as Euclid's postulates.
According to the question
Postulates are helpful because they are basic structure from which lemmas and theorems are derived and they are also known as an axiom, which is taken to be true without proof.
Hence, postulates are helpful as they are taken to be true without proof and are basic structure from which lemmas and theorems are derived .
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slove the equation y=mx+b for m
a)m=y-b-m
b)m=(y-b)m
c)m=y+b/x
d)m=y-b/x
the lowest temperature ever recorded in cloud city was 11 degrees farienheit the highest was 124 degrees Fahrenheit higher than the record low temperature could anyone help me solve this
Which problem can be solved using base-10 blocks? A. Simplify x − (x + 2). B. Model the sum of 950 and 26. C. Order 2.7, 3.1, and 2.9 from greatest to least. D. Plot the points (2, 5) and (4, 9).
I need help ASAP
James is reading the latest book by his favorite science fiction author. The table shows the number of pages James read over different periods of time. Calculate the proportionality constant from the table in terms of pages per minute.
A) 0
B)1/2
C)8
D)12
Time (minutes)8 16 24
Pages Read 4 8 12
The proportionality constant from the table in terms of pages per minute is 1/2.
option B.
What is the proportionality constant ?The proportionality constant from the table in terms of pages per minute is calculated by applying the following formula.
The given time and pages read are;
Time (minutes)-------- 8 16 24
Pages Read ----------4 8 12
Mathematically, the formula for the proportionality constant is given as;
proportionality constant = pages read / time taken
proportionality constant = 4 pg / 8 min = 8 pg / 16 min = 12pg / 24 min
proportionality constant = 1/2 pg/min = 1/2 pg/min = 1/2 pg/min
Thus, the proportionality constant from the table in terms of pages per minute is calculated by dividing the pages read by the time taken to read the pages.
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