Find the difference between (1.5 × 108) and (7.4 × 107). Write the final answer in scientific notation.
7.6 × 10^8
7.6 × 10^7
5.9 × 10^−1
−5.9 × 10^1
Answers
Answer:
\(7.6 \times 10^7\)
Step-by-step explanation:
\(1.5 \times 10^8-7.4 \times 10^7 \\ \\ =10^7 (15-7.4) \\ \\ =7.6 \times 10^7\)
The difference between (1.5 x 10⁸) and (7.4 x 10⁷) is 7.6 x 10⁷.
What is subtraction?The mathematical operation is subtraction. It is employed to eliminate words or expression's objects.
To find the difference between (1.5 x 10⁸) and (7.4 x 10⁷) :
We subtract both the numbers,
(1.5 x 10⁸) - (7.4 x 10⁷)
To solve further, we take the common term outside the bracket.
(1.5 x 10⁸) - (7.4 x 10⁷)
= 10⁷ (15 - 7.4)
= 7.6 x 10⁷
Therefore, the difference is 7.6 x 10⁷.
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Related Questions
Given two equilateral triangle; the length of the sides of the 2nd triangle are 2 less than 3
times the length of the sides of the 1st triangle. If the Perimeter of the 2nd triangle is 102
inches; Find the lengths of the sides of both triangles and the perimeter of the 1st triangle
to the nearest 10th of a milimeter (2.54 cm/inch; 10mm/cm)
Answers
9514 1404 393
Answer:
first triangle -- side: 304.8 mm; perimeter: 914.4 mm
second triangle -- side: 863.6 mm; perimeter: 2590.8 mm
Step-by-step explanation:
We are given two equilateral triangles. The perimeter of the second is given as 102 inches, so its sides have length 102/3 = 34 inches. This is 2 less than 3 times the side length in the first triangle. So, adding 2 will give 3 times the side length of the first triangle: 36 inches, which also happens to be its perimeter. Those side lengths are 36/3 = 12 inches.
Now, we know:
first triangle -- side length 12 inches, perimeter 36 inches
second triangle -- side length 34 inches, perimeter 102 inches.
These measurements are desired in millimeters. Each inch is 25.4 millimeters, so we can find the desired measures by multiplying these numbers by 25.4.
12×25.4 = 304.8; 36×25.4 = 914.4
34×25.4 = 863.6; 102×25.4 = 2590.8
The desired lengths are ...
first triangle -- side: 304.8 mm; perimeter: 914.4 mm
second triangle -- side: 863.6 mm; perimeter: 2590.8 mm
The formula T=2pi sqrt(L/32) gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet. To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s?
Answers
The length of a pendulum that makes one full swing in 1.9 seconds is 3 feet.
As per the given data, the given formula is:
\($T=2 \pi \sqrt{\left(\frac{L}{32}\right)}\) gives the time it takes in seconds.
Where,
T is the time it takes for a pendulum to make one full swing back and forth (in seconds).
L is the length of the pendulum, in feet.
Here we need to find the length of a pendulum that makes one full swing in 1.9 seconds to the nearest foot.
Substitute the given parameters into the formula will give;
\($1.9=2 \pi \sqrt{\left(\frac{L}{32}\right)}\)
Now divide both sides by 2π.
\($ \frac{1.9}{2 \pi}=\sqrt{\left(\frac{L}{32}\right)} \\\)
\($ 0.3024=\sqrt{\left(\frac{L}{32}\right)}\)
Then taking square on both sides.
\($ (0.3024)^2=\frac{L}{32} \\\)
0.09144576 = \($\frac{L}{32}\)
Later multiply both sides by 32.
2.9262 = L
The approximate value of the length of a pendulum:
L ≈ 3
Therefore, the length of a pendulum is about 3 feet.
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help i do t understand
Answers
Answer:
14.9, 15.2, 15.4, 15.9, 15.9, 17.4, 18.3, 18.4, 18.6, 18.6Step-by-step explanation:
Stem is the number on the left side separated, leaf is the each of the numbers on the right side of the line, each of numbers indicating the tenth digit
Here is the list
14 | 9 ⇒ 14.915 | 2499 ⇒ 15.2, 15.4, 15.9, 15.916 | ⇒ none17 | 4 ⇒ 17.418 | 3466 ⇒ 18.3, 18.4, 18.6, 18.6Please look at the photo. Thank you!
Answers
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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You have 15 marbles in your pocket. 5 are blue, 6 are red, and 4 are green. If you reach into your pocket and pull out a marble, what is the probability that the marble will be red?
Answers
Answer:
2 out of 5 chance of being red
Step-by-step explanation:
a line parrell to y=5x+9 and intersects the point (-2,-3). What is the equation of this parrell line
Answers
Answer:
\(y - 5x = 4\)
Step-by-step explanation:
\(y = 5x + 9 \\ m1 = 5 \\ since \: the \: line \: is \: parallel \: m1 = m2 \\ y - y1 = m(x - x1) \\ y - ( - 3) = 5(x - ( - 2)) \\ y + 4 = 5(x + 2) \\ y + 4 = 5x + 10 \\ y - 5x = 10 - 6 \\ y - 5x = 4\)
help me with this question nowww pleasee
Answers
Answer:
Down Here ↓↓↓↓↓
Picture Attached
Step-by-step explanation:
P is 1 1/4 units to the left of 0
R is 3/4 units to the left of 0
Q is 1/4 units to the right of 0
S is 1/4 units to the left of 0
-Chetan K
How do I graph this inequality
Answers
Answer:
-5 < x ≤ 1
Step-by-step explanation:
The amount of money earned varies directly as the number of hours worked. After working 14 hours, Joe earned $119. How
much would Joe earn for working 20 hours?
Answers
Joe earned $140 for working 20 hours
To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Joe worked 14 hours and earned = $119
Joe worked for 1 hour and earned = $ 119/ 14
Joe worked for 20 hours and earned = $ 119/ 14 x 20
= 4140
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on a separate sheet of paper, sketch the rectangle for each problem using any method round and estimate to check your answer problem 1 5 x 4,751
Answers
The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.
The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.
2. 7 x 6000 = 42,000.
To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.
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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.
In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.
Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.
2. 7 x 6000 = 42,000.
We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.
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What percent of 175 is 50
Answers
Answer:
28.57
Step-by-step explanation:
hope this helps! :D
A right rectangular prism has a square base with sides 1/2 in. Long. The volume of the prism is 3/8 in to the third power. What is the prism?
Answers
Answer:
If the base of the right rectangular prism is a square with sides that are 1/2 inch long, then the area of the base is (1/2)^2 = 1/4 square inches.
Since the volume of the prism is given as 3/8 cubic inches, we can use the formula for volume of a right rectangular prism (V = Bh) to solve for the height of the prism:
V = Bh
3/8 = (1/4)h
Multiplying both sides by 4, we get:
3 = h
So the height of the prism is 3 inches.
Therefore, the right rectangular prism has a square base with sides 1/2 inch long and a height of 3 inches, making it a 1/2 x 1/2 x 3 inch rectangular prism.
Consumerism A local feed store sells a 100-pound bag of feed for $10.90. If
a customer buys more than one bag, each additional bag costs $10.50. A
customer bought $84.40 worth of feed. How many 100-pound bags of feed
did this customer purchase?
Answers
1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p
show that both are commutative
Answers
Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
How to explain the commutative property.It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property
From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.
In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.
Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
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Jayden uses the net below to design a box. A net with 4 rectangles and 2 squares. The rectangles measure 6 feet by 4 feet and the squares have side lengths of 4 feet. How much cardboard will Jayden need to make the box? A. 60 ft2 B. 96 ft2 C. 128 ft2 D. 144 ft2
Answers
Answer:
C .128 ft²
Step-by-step explanation:
net with 4 rectangles and 2 squares.
The rectangles measure 6 feet by 4
Area of the rectangle=6*4
Area of the rectangle= 24.ft²
Total area of the rectangle= 4*24.
Total area of the rectangle= 96 ft²
the squares have side lengths of 4 feet.
Area of tge square= 4²
Area of the square= 16ft²
Total area of the square= 16*2
Total area of the square= 32 ft²
Total area of the cardboard needed
= Area of square + Are of rectangle
= 32+96
= 128 ft²
There are 10 boys and 10 girls in a classroom.
8 like to draw.
What is the probability that a student picked at random will be a girl who likes to draw?
Answer in decimal form rounded to 2 places.
Answers
Answer:
grgdhs s dix e8shecr d8 her e8d jshfvebzjd zirr sidhe r shudbe xu heyxuebxux bsuc eizbfjs xie disgruntled hehe I2bv hour grab bjau bro iske Ddbeusd zjw7 YZH2WH2 zop dq he
What is the probability that a student picked at random will be a girl who likes to draw?
Answer in decimal form
the recipe for ellie fruit drink included 1 1/4 quarts of cranberry juice 2 2/3 quarts of apple juice and 5/8 of a quart of lemonade. The recipe makes enough for 4 people. Ellie needs to make enough fruit drink for 20 people . How much of each ingredient does she need?
Answers
Answer:
25/4 quarts of cranberry juice
40/3 quarts of apple juice
25/8 quarts of lemonade
Step-by-step explanation:
just multiply everything by 5
:)
Select the interval(s) where the function is increasing:
f(x) = x ^ 4 - 5x ^ 2 - 3
(- 9.3, - 3)
(- ∞,- 1.5)
(0, 1.5)
(-1.5, 0)
(1.5, ∞)
(-∞, ∞)
(-9.3, ∞)
Answers
(-1.5, 0) and (1.5, ∞)
construction company builds an average of 48 houses per year. How many houses per month does the company build?
Answers
A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1), and back to the origin under the influence of the force fieldF(x, y, z) = z2i + 2xyj + 2y2k.
Answers
The work done by the particle when it reaches [8i + 54j + 72k] is 79.5 units as calculated using the strokes theorem.
[8i + 54j + 72k] newtons per square meter of energy.
The dot product of the force vector and the particle's displacement vector represents the work that the force has done.
F(x,y,z) = 3xyj + 3y2k + z2i
⇒F(3,0,0) = 0
F(3,3,1) = 2i + 27j + 18k = 1(2i) + 3(3)(3)j + 3(3)(2k)
F (0, 3, 1) is equal to 1(2i) + 3(0)(3)j + 3(3)(2k) = 2i + 18k.
The total is [4i+27j+36k].
We multiply the aforementioned work done by two because the particle returns to the origin:
[8i + 54j + 72k]
this gives us the work as 79.5.
Additionally, the S.I. unit is joules/newton meter square since work is calculated as the product of force and distance.
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The mode of the data on the stem-and-leaf plot is___.
Answers
Answer:
51.
Step-by-step explanation:
The mode is the value which occurs the most.
Wesee form the 3 '1' s on the second row that it is 51.
the distance-time graph represents a journey made by joe
Answers
If the question is 1st image:-
Second image contains answer.
I hope it helps.
Stephen earns 80% of David's
salary. If David earns $120,000
a year. How much does Stephen
earn?
Answers
Answer:
Stephen earns $96,000.
Step-by-step explanation:
We have to figure out how to get 80% of 120,000 to find Stephen's salary. So, we convert 80% to a decimal. 80% as a decimal is 0.80. So, we multiply 120,000 by 0.80 to get 96,000 :)
Even though Freeman is only 8 years old and Eddie is only 9, they have already landed jobs as product testers at Swivel Chairs Incorporated. If Freeman can swivel a chair 30 times per minute and Eddie can swivel a chair 36 times per minute, how many minutes will it take the two of them together to swivel chairs a (combined) total of 792 times? Alphab After you enter your answer press GO. 1 5 minutes GO 9 Playback
Answers
Answer:
a
Step-by-step explanation:
diameter of a circle is 21 cm. Find its area to the nearest whole number.\
Answers
Answer:346.5
Step-by-step explanation: At first,we have calculate the radius of the given circle,by using the following mathematical formula.
Radius = Diameter/2 = 21/2 = 10.5 cm
Now,we have to calculate the area of the circle by using the following mathematical formula,
Area of the circle = π×r² = 22/7 × 10.5 × 10.5 = 346.5 cm²
please lmk if this an option or answer for you.
need help asap!!!! plsss i have 5min
Answers
Answer:
30
Step-by-step explanation:
x=10
x^2+3x-130=0
x=10 or -13
there is no negative angle so the answer is ten
Write the expression using exponents.
−(4b)(4b)(4b)
Answers
The expression −(4b)(4b)(4b) using positive exponents is -(4b)³
How to rewrite the expression using exponentsFrom the question, we have the following parameters that can be used in our computation:
−(4b)(4b)(4b)
Express properly
So, we have
−(4b) * (4b) * (4b)
5⁻¹² * 32⁻³ * 9⁻¹⁵
By using the definition of positive exponents, we have
−(4b) * (4b) * (4b) = -(4b)³
So, the solution is -(4b)³
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Find the monthly interest payment in the situation described below. Assume that the monthly interest rate is 1/ 12of the annual interest rate.
You maintain an average balance of $ 1275 on your credit card, which carries % 12 annual interest rate.
Answers
Answer:
The monthly interest payment is $0.425, or approximately 43 cents.
Step-by-step explanation:
To find the monthly interest payment, we can use the following formula:
Monthly interest payment = (Average daily balance) x (Monthly interest rate)
The average daily balance can be estimated by assuming that it is equal to the average monthly balance. So, in this case, the average daily balance is:
Average daily balance = (Average monthly balance) / Number of days in the month
Assuming that there are 30 days in the month, we have:
Average daily balance = $1275 / 30 = $42.50
The monthly interest rate is equal to 1/12 of the annual interest rate, which is 12%. So, the monthly interest rate is:
Monthly interest rate = (1/12) x 12% = 1%
Now, we can use these values to calculate the monthly interest payment:
Monthly interest payment = $42.50 x 1% = $0.425
Therefore, the monthly interest payment is $0.425, or approximately 43 cents.
On a math test five out of 20 students scored 70 or below a score of 70 on this test would be the?
A. Lower quartile
B. Upper quartile
C. Median
D. 70th percentile
Answers
Lower quartile. The correct option is A
What is Lower quartile ?The lower quartile, often known as the first quartile or Q1, is a measure of central tendency that separates the bottom 25% of a data set from the rest of the data.
In this instance, five out of the 20 students received scores of 70 or lower, which equals a 25% proficiency rate.
Therefore, 70 or below is the lower quartile.
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A farmer knows that every 50 eggs his chickens lay, only 45 will be marketable. If his
chickens lay 1000 eggs in a week, how many of them will be marketable?
Answers
Answer:
900 eggs
Step-by-step explanation:
45/50 are marketable
divide the top and bottom by 5
9/10
Multiply this fraction by the 1000 eggs laid
9/10 *1000
900 eggs will be marketable
Answer:
900
Step-by-step explanation: