Scientific notation is the way of writing a large number between 1 to 10 with a power of 10.
The mass of one atom is 6.65 x [tex]10^{-24}[/tex]
The mass of 250 helium atoms is 1662.5 x [tex]10^{-24}[/tex].
The scientific notation to express the mass of 250 helium atoms is
1.6625 x [tex]10^{-21}[/tex].
What is scientific notation?It is the way of writing a large number between 1 to 10 with a power of 10.
Example:
1.2 x 10² is in scientific notation.
9.1 x 10³ is in scientific notation.
We have,
Mass of one atom of helium = 6.65 x [tex]10^{-24}[/tex]
Mass of 250 atoms of helium:
= 250 x 6.65 x [tex]10^{-24}[/tex]
= 1662.5 x [tex]10^{-24}[/tex]
Now,
We will make 1662.5 into a number between 1 and 10.
1662.5
= (1662.5/1000) x 1000
= 1.6625 x 10³
Now,
= 1.6625 x 10³ x [tex]10^{-24}[/tex]
= 1.6625 x [tex]10^{3 - 24}[/tex]
= 1.6625 x [tex]10^{-21}[/tex]
Thus,
The mass of one atom is 6.65 x [tex]10^{-24}[/tex]
The mass of 250 helium atoms is 1662.5 x [tex]10^{-24}[/tex].
The scientific notation to express the mass of 250 helium atoms is
1.6625 x [tex]10^{-21}[/tex].
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A square kitchen floor has an area of 500 ft.² estimate the length of one wall to the nearest 10th of a foot
To estimate the length of one wall of the square kitchen, take the square root of the area of 500 square feet, which gives approximately 22.4 feet, rounded to the nearest tenth.
Explanation:The student is asking how to estimate the length of one wall in a square kitchen that has an area of 500 square feet. To find the length of the wall, you need to take the square root of the area because the area of a square is equal to the side length squared. Using a calculator, the square root of 500 is approximately 22.36 feet. Therefore, the length of one wall of the square kitchen is approximately 22.4 feet, rounded to the nearest tenth of a foot.
the tallest tree a redwood name Hyperion measures 379 feet tall and the average NBA player is 80 inches. how many NBA players would it take to equal the height of the tree?
Help please. I don’t understand.
On a shopping trip, Peter spent 1/3 of his money for a jacket and another $5 for a hat. If peter still had 1/2 of his money left, how much money did he have originally ??
Which is the best estimate of 54 times 68
Diane serves breakfast to two groups of children at a daycare center. One box of Oaties contains 12 cups of cereal. She needs 1/3 cup for each younger child and 3/4 for each older child. Today’s group includes 11 younger children and 10 older children. Is one box of oaties enough for everyone
Answer:
Yes, one box of Oaties is enough for everyone.
Explanation:
To find out if one box of Oaties is enough for everyone, let's calculate the total amount of cereal needed for each group and then sum them up.
For the younger children:
Number of younger children = 11
Amount of cereal needed for each younger child = 1/3 cup
Total cereal needed for younger children = Number of younger children × Amount of cereal needed for each younger child
Total cereal needed for younger children = 11 × 1/3 = 11/3 cups
For the older children:
Number of older children = 10
Amount of cereal needed for each older child = 3/4 cup
Total cereal needed for older children = Number of older children × Amount of cereal needed for each older child
Total cereal needed for older children = 10 × 3/4 = 30/4 = 7.5 cups
Now, let's sum up the total cereal needed for both groups:
Total cereal needed = Total cereal needed for younger children + Total cereal needed for older children
Total cereal needed = 11/3 + 7.5
To add fractions, we need a common denominator, which is 3 in this case:
Total cereal needed = (11/3) + (7.5 × 3/3)
Total cereal needed = (11/3) + (22.5/3)
Total cereal needed = (11 + 22.5) / 3
Total cereal needed = 33.5/3
Now, 33.5/3 cups of cereal are needed for everyone.
Since one box of Oaties contains 12 cups of cereal, let's check if it's enough:
1 box = 12 cups
So, 12 cups > 33.5/3 cups
Yes, one box of Oaties is enough for everyone.
3.2 ÷ 10.261
Dividing decimal
How would you use the Associative Property of Multiplication to compute 4x25x27 mentally.
Is 19/7 irrational or rational??
Answer: It is a rational number.
Step-by-step explanation:
Sine we know that Rational numbers are those numbers which can be written in the form of p/q where, q is not equal to zero.
Here p denotes the numerator and q denotes the denominator.
So, According to question,
p = 19 and q = 7
Hence, it is written in p/q form.
Therefore, it is a rational number.
Which is a correct definition for an obtuse angle? A. an angle with a measure that equals the measure of a square corner B. an angle with a measure that is less than the measure of a square corner C. an angle with a measure that is greater than the measure of a square corner D. an angle that looks like a line
Determine the missing information in the paragraph proof.
Given: Line PQ contains points (w, v) and (x, z) and line P'Q' contains points (w + a, v + b) and (x + a, z + b). Lines PQ and P'Q' are parallel.
Prove: Parallel lines have the same slope.
Since slope is calculated using the formula , the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.
Answer:
The answer should be A) v-z w-x
Step-by-step explanation:
You purchase a car using a 20,000 loan with a 5% interest rate suppose you pay the loan off after 4 years how much interest do you pay on your loan suppose you pay the loan off after 2 years how much interest do you save by paying the loan off sooner
Five cans for six dollars or eight cans for cans $10
The question is about comparing the ratios or rates of the number of cans to cost. This mathematical analysis can help you determine which option offers the best value for money. The same method can be used to compare prices of different types of fruits.
Explanation:The subject of the problem concerns the unit cost for purchasing cans or apples, bananas, grapes, and raspberries. It's essentially a comparison between two ratios or rates in mathematics. In this case, we have the ratio of cans to cost (either 5 cans for $6 or 8 cans for $10). For the first ratio, the price per can is $6 ÷ 5 cans = $1.2 per can. In the second scenario, the price per can is $10 ÷ 8 cans = $1.25 per can. Therefore, the option of 5 cans for $6 has a lower cost per can compared to the option of 8 cans for $10.
With the same method, you can compare prices of different types of fruits (apples, bananas, grapes, and raspberries), determining which fruit gives you the best value for your money based on the price per unit.
Through this kind of mathematical analysis, you can make informed decisions about value for money, which is a useful skill not only in performing school assignments but also in real-world situations such as grocery shopping.
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Six people share 3/5 pound of peanuts equally. What fraction of a pound of peanuts does each person receive?
0.561 rounded to the nearest hundredth is what
What is the x and y intercept for 4x-5y=-20
Suppose there are 20 questions on a multiple-choice test. If 25% of the answers are choice B, how many of the answers are not choice B?
you live 3.67 miles from your grandparents and you are biking how do you solve this
The radius of a circular Frisbee is 9.8 centimeters. Using rounding to the nearest whole number, what is an estimate for the circumference of this circle?
A. 50 cm B. 60 cm C. 65 cm D. 72 cm
Side a = 4
Side b = 3
Side c = 5
How would you find the sine of Angle B?
Divide 3 by 90 degrees.
Divide 5 by 3.
Divide 3 by 5.
Divide 3 by 4.
what is the value of b in the equation brainly (y^-9)^b=y^45?
a. -405
b. -5
c. 5
d. 405
Answer:
its -5 just took the test
Step-by-step explanation:
Answer:
The correct answer is option B, - 5
Step-by-step explanation:
In 1980, when the consumer price index (CPI) was 82.4, Ivan purchased a house for $71,900. Assuming that the price of houses increased at the same rate as the CPI from 1970 to 1980, approximately how much would the house have cost in 1970, when the CPI was 38.8?
Answer:
$33,856
Step-by-step explanation:
We have been given that in 1980, when the consumer price index (CPI) was 82.4, Ivan purchased a house for $71,900. The CPI in 1970 was 38.8. We are asked to find the cost of house in 1970.
[tex]\text{Past dollars in terms of recent dollars}=\text{Dollar amount}\times \text{Ending-period CPI}\div\text{ Beginning-period CPI}[/tex]
Substitute the given values:
[tex]\text{Cost of house in 1970}=\$71,900\times 38.8\div 82.4[/tex]
[tex]\text{Cost of house in 1970}=\$71,900\times 0.470873786407767[/tex]
[tex]\text{Cost of house in 1970}=\$33,855.825242718[/tex]
[tex]\text{Cost of house in 1970}\approx \$33,856[/tex]
Therefore, the cost of house in 1970 was $33,856.
3x+2y+4+9y=
Plz answer
tom ate 1/4 of a pizza. He divided the leftover pizza into pieces each equal to 1/12 of the Original Pizza. After he gave some friends one piece each 1/6 of the Original Pizza remained. How many friends got pizza?
What is the reciprocal of 7/12?
1. -12/7
2.-7/12
3.7/12
4.12/7
Someone told me you just have to flip the fraction so would that make this answer 12/7?
A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line
between which two consecutive whole numbers is square root 95
Answer:
81..........................................................................................
Step-by-step explanation:
A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/3 miles. At this rate , how many miles can the vehicle travel per gallon of gasoline? Show your work.
Answer:
13 1/3 miles = 40/3 miles
Step-by-step explanation:
1 1/8 gallons of gasoline = 9/8 gallons of gasoline
(40/3) / (9/8)
= 40/3 x 8/9
= 320 /27
= 11 23/27 miles gallon of gasoline
4a+15 whats the answer
2. [02.06] Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3? (1 point)
−5x − 7 < −22 and −5x − 7 ≥ −3
−5x − 7 > −22 and −5x − 7 ≥ −3
−5x > −22 and −7 ≥ −3
−5x − 7 < −22 and −5x − 7 ≤ −3
Answer:
−5x − 7 < −22 and −5x − 7 ≥ −3 (the first one)
Step-by-step explanation:
22 is bigger than -5x and 7
-5x-7 is equal to or less than 22
and negative 3 is just negative 3
hope this helps!
The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 is -5x - 7 < -22 and -5x - 7 ≥ -3.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
We can subtract 7 from all parts of the inequality to get:
-29 > -5x ≥ -10
Then we can divide all parts by -5 (and remember to reverse the direction of the inequality signs because we are dividing by a negative number) to get:
5.8 < x ≤ 2
So, an equivalent form of the compound inequality -22 > -5x - 7 ≥ -3 is:
-5x - 7 < -22 and -5x - 7 ≥ -3
Therefore, the equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 is -5x - 7 < -22 and -5x - 7 ≥ -3.
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