Simplification the expression in scientific notation 3.6 x 10^(-5)
What is Simplification ?
To implify is to make something simple. In mathematics, simply or simplification means reducing the expression/fraction/problem in a simpler version. Calculations and problem-solving techniques simplify the issue.
We have to multiply the expression
(9x10^-3) (4x10^-3)
We can rewrite this multiplication as
(9 x 4) x (10^-3 x 10^-3)
Now, use the exponent rule,
a^n x a^m = a^(n+m)
(9 x 4) x (10^(-3-3))
(9 x 4) x (10^(-6))
36 x 10^(-6)
Finally, write in scientific notation
3.6 x 10^(-5)
Hence, the scientific notation of the expression is 3.6 x 10^(-5)
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what is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations? (round your answer to four decimal places.)
The probability that maximum speed differs from the mean value by at most 1.5 standard deviations is 0.1336.
What is probability?The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. It is written as, P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).
Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The probability will be illustrated as:
P(|Z|>1.5)
= P(Z<-1.5) + P(Z>1.5)
= 2*P(Z<-1.5)
Look at the value under the distribution table. This is 0.0668.
= 2 × 0.0668
= 0.1336
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Solve: 3(x+4)= 3x+12
Ox=0
Ox=4
Oall real numbers
Ono solution
Correct option is C, The solution is set of all real numbers.
When x=0, 0=0 and 24 Equals 24 when x = 4.
This equation holds true for all real numbers since both sides of the equation are the same. When 0=0, the solution reveals that the equation is an identity, a specific kind of equation that is true regardless of the value of x.
Identity equation: What is it?Identity equations are described as equations that are true regardless of the value of the inserted variable.
3(x+4)=3x+12
3x+12=3x+12
When x = 0
3(0)+12=3(0)+12
12=12
When x = 4
12+12=12+12
The set of all real numbers is the answer as a result.
Y - = m is an equation for a line given a slope and a point ( x - )
or y - 7 = 1 ( x - 1) ( x - 1)
or y - 7 = x -1
or y = x + 6
Consequently, a line parallel to the line y = x + 4 has the equation y = x + 6.
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Which estimate best describes the area under the curve in square units?
Responses
10 units²
10 units²
15 units²
15 units²
30 units²
30 units²
35 units²
35 units²
A curve is graphed on a coordinate plane. The horizontal x-axis ranges from 0 to 5 in increments of 0.5. The vertical y-axis ranges from 0 to 10 in increments of 1. The curve passes through begin ordered pair 0.5 comma 3 end ordered pair, begin ordered pair 2.5 comma 5 end ordered pair, begin ordered pair 3.5 comma 4 end ordered pair, and begin ordered pair 4 comma 2 end ordered pair. The region below the curve is shaded blue.
The estimate that best describes the area under the curve in square units is option B: 15 units².
What does the area under a curve represent?The area under a curve in calculus is a picture of an integral. It is frequently possible to interpret the area under a curve as the total amount of whatever the function is describing.
By performing a definite integral between the two locations, one can determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to tell about the area under the curve y = f(x) between x = a & x = b.
Therefore, each box:
0.5 × 1 = 0.5 units^2. Then add up the boxes, and it is about 30. So:
30×0.5 = 15 units².
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please help and explain thank you
Name:
15 Hannah took a trip to visit her cousin. She drove
120 miles to reach her cousin's house and the same
distance back home. It took her 1.2 hours to get
halfway to her cousin's house. What was her
average speed, in miles per hour, for the first 1.2
hours of the trip? Hannah's average speed for the
remainder of the trip to her cousin's house was 40
miles per hour. How long, in hours, did it take her
to drive the remaining distance? Traveling home
along the same route, Hannah drove at an average
rate of 55 miles per hour. After 2 hours her car
broke down. How many miles was she from home?
Distance was 10 miles away from home.
What is Distance ?
The measurement of distance is the separation between two objects or points, and it can be quantitative or occasionally qualitative. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.
For a journey to see her cousin, Hannah traveled. She traveled 120 miles one way to visit her cousin and 120 miles the other way to return home.
She traveled halfway to her cousin's home in 1.2 hours.
That is 120 / 2 = 60 miles
(Speed = distance/time) 60 miles in 1.2 hours
Average speed = 60 / 1.2
= 50 mph.
For the remainder of the journey to her cousin's home, Hanna's average speed was 40 miles per hour.
Another 60 kilometers remain: Time (= Distance/Speed)
Time = 60/40
= 1.5 hours.
Hanna averaged 55 miles per hour when she made her way home along the same path. Her automobile broke down after two hours.
Find the distance traveled at 55 mph in 2 hours. (Distance = time * speed)
Distance = 55 * 2 = 110miles
So distance from home will be,
= 120 - 110
= 10 miles
Hence, she was 10miles away from her home
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If f(x) = –3(1 – x – 4x2) give f-3.
Answer:
12
Step-by-step explanation:
we enter -3 in for all the x's and rewrite the problem.
-3 (1 - (-3) -4 • 2)
then we calculate ending up with the next problem.
-3 • (-4)
then we simply multiply and end up with 12 as our answer, hope this helped!
Eight leaders and 143 members of a youth club go by bus to a bowling alley.
The Beezer Bus Company has buses for hire that hold 32 passengers each.
Each bus costs £140 to hire.
The cost is split equaly between the members.
The leaders do not pay.
How much does each member need to pay to cover the cost of hiring the buses?
£....
(3 m
Each member of the club needs to pay £ 4.895 to cover the cost of hiring the buses.
A youth club's 143 members and eight leaders ride a bus to a bowling alley.
The buses for hire by the beezer bus company hold 32 passengers each.
The cost of each bus to hire is £140.
There are eight leaders and 143 members.
Therefore, there are a total of 143 + 8 = 151 passengers.
So, the number of buses required will be:
= 151 / 32 = 4.7 ≈ 5 buses
Therefore, the cost of hiring 5 buses will be:
= 5 × £140 = £ 700
As the eight leaders will not ay.
Therefore, the amount each member needs to pay is:
= £ 700 / 143
= £ 4.895
Each member of the club needs to pay £ 4.895 to cover the cost of the buses.
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A box of 24 ornaments contains 3/4 red ornaments. How many red ornaments are in the box? How many ornaments are another color than red?
Answer:
18 red and 6 other color
Step-by-step explanation:
A box of 24 ornaments contains 3/4 red ornaments. How many red ornaments are in the box? How many ornaments are another color than red?
3/4 × 24 = red ornaments
= 18 red
24 - 18 = 6 other color
Find the measure of the missing angles.
Answer:
ok
Step-by-step explanation:
c is 85
360-170
190/2
95
c=85
b=95
PLEASE HELP Create a scatter plot for the data below.
Title the graph. Determine an appropriate scale for the x and y axis. Determine an appropriate interval for the x and y axis. Title the axes
A scatter plot for the data shown in the table is plotted and illustrated in the attachment below.
What is a scatter plot?A scatter plot is also referred to as scatter diagram, scatter chart, or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.
In this scenario, the text messages would be plotted on the x-axis of the scatter plot while the age would be plotted y-axis of the scatter plot as depicted in the image attached below.
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what integer represent the total charge of 9 neutrons
3. Find the missing part to make the number sentences true.
a.
8 + 0 = +4
d.
5+ = 6 +0
b.
7+2=9+0
e.
6 +
= 4 + 3
C.
5+2=4+
f.
5+4= +3
a. 8 + 0 = 4 +4
d. 5+1 = 6 +0
b. 7+2=9+0
e. 6 +1= 4 + 3
C. 5+2=4+3
f. 5+4= 6+3
How can I locate a lost number?
Missing numbers are those that were omitted from the offered series of numbers with comparable discrepancies. Finding similar differences between the missing numbers and adding their missing values to the appropriate series is how the missing numbers are written.
example
Children are frequently asked to solve number sentences, which are compositions of numbers and mathematical processes. Number phrases contain the following: 32 + 57 =? 5 x 6 = 10 x?
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how many solution does 3(2x+1)=2(2x+1) have
Answer:
1 solution
Step-by-step explanation:
5. If the solution of an equation is a = -2, what could the original equation be?
-
OA. x+6=8
OB. x-6-8
O c. x+8 = 6
OD x 8-6
HELP PLEASEEEE
Answer:
C
Step-by-step explanation:
x + 8 = 6
x = 6-8
x = -2
.....
Simplify these expressions
a) x x x x x xу ху
b) 2 xx x x x 3 ×ухуху
Answer:
a) x^7 y^2
b) 6 x^8 y^3
Step-by-step explanation:
Exponential expressions
a) x x x x x xу ху
There are 7 x 's in the expression and 2 y's The number of the x's is the exponent for x is the exponent and the same for y
x^7 y^2
b) 2 xx x x x 3 ×ухуху
Multiply the constants 2*3 = 6
Count the x's 8 x's = x^8
Do the same for y 3 y's = y^3
6 x^8 y^3
For a project in his Geometry class, Levi uses a mirror on the ground to measure the height of his school’s football goalpost. He walks a distance of 12.05 meters from the goalpost, then places a mirror flat on the ground, marked with an X at the center. He then walks 2 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.15 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
Answer:
\text{ m} m
attempt 2 out of 2
Griffin Heaton
Word Problems, Similar Triangles (Level 2)
Oct 20, 9:06:20 PM
Watch help video
For a project in his Geometry class, Levi uses a mirror on the ground to measure the height of his school’s football goalpost. He walks a distance of 12.05 meters from the goalpost, then places a mirror flat on the ground, marked with an X at the center. He then walks 2 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.15 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
The goalposts are 6.92m tall.
Angle of incidence Equals Angle of reflection, according to the physics principle of reflection.
Both angles ( θ) are equal, as seen in the attached image.
m<ABC = mADC = 90° - θ
m<ACB = mECD = 90°
detailed explanation?
Angle of incidence Equals Angle of reflection, according to the physics principle of reflection.
Both angles ( θ) are equal, as seen in the attached image.
m<ABC = mADC = 90° - θ
m<ACB = mECD = 90°
Thus, the ABC triangle and the EDC triangle will both be similar.
Their corresponding sides will also be proportionate due to the property of comparable triangles
AB/BD = CB/CD.
1.15/ED = 2.0/12.5
ED = 1.15 * 12.05 /2.0
ED= 6.92
ED = ED = 6.92 m
The goalposts are 6.92m tall.
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help i will give 50 points
Answer:
Option 4, 8 1/3
Step-by-step explanation:
-2.5 * - 3 1/3 = 8.3 repeating
8.3 repeating = 75/9
75/9 = 8 1/3
Hello I really need help with this and this would help me a lot
Answer:
1.divide
2.minus
3.times
if three sides of an equilateral triangle measures 3X +12, 8X -3 and 5Y plus one what is the value of X and Y in the length of each side
The value of X and Y in the length of each side of an equilateral triangle is X = 3 and Y = 4
In this question we have been given the equations for the three sides of an equilateral triangle.
3X +12, 8X -3 and 5Y + 1
We need to find the value of X and Y.
We know that all sides of an equilateral triangle are equal.
so, 3X +12 = 8X -3 = 5Y + 1
Consider 3X +12 = 8X -3
3X -8X = - 3 - 12
-5X = - 15
X = 3
Now consider an equation 8X - 3 = 5Y + 1
substitute above value of X in this equation.
8(3) -3 = 5Y + 1
24 - 3 = 5Y + 1
21 - 1 = 5Y
5Y = 20
Y = 4
Therefore, the value of X and Y in the length of each side of an equilateral triangle is X = 3 and Y = 4
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Mike took Jen bowling for the first time. He
bowled two games with scores of 157 and 175.
Jen had never bowled before and scored 78 and
98. What was Mike's average score?
Mike's average score is 166.
What is average?Divide the total by the number of numbers after adding up all the numbers.
Implying something that sits in the midst. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. Averages are used to condense a vast number of data points into a single value. It is a visual depiction of all the data set's available numbers. By adding up all the data values and dividing them by the total number of data points, the average is calculated.
Given Data
Mike bowled two games with scores of 157 and 175.
Sum of scores = 332
Average = [tex]\frac{Sum of scores}{Totak number of bowling}[/tex]
Average = [tex]\frac{157 + 175}{2}[/tex]
Average = [tex]\frac{332}{2}[/tex]
Average = 166
Mike's average score is 166.
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a cylindrical tank with a diameter 1.0m and height 1.5m is to be filled with water. How many liters of water are needed to fil the tank
375π litters of water is needed to fill the cylindrical tank with a diameter of 1.0m and height of 1.5m.
What is the volume of the given cylindrical tank?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi.
Given the data in the question;
Diameter d = 1.0mRadius r = d/1 = 1.0m/2 = 0.5mHeight h = 1.5mVolume V = ?Plug the given values into the formula above and solve for V, to determine the liters of water that will fill the tank.
V = π × r² × h
V = π × ( 0.5m )² × 1.5m
V = π × 0.25m² × 1.5m
V = 0.375π m³
Next, convert cubic meters to liters.
V = 0.375π m³ = ( 1000 × 0.375π )L
Volume V = 375π L
Therefore, a volume of 375π litters is needed to fill the tank.
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What is the answer to this step by step?
|3-6|³ + 72 ÷ 9
Answer:17
Step-by-step explanation:
|-3|^3 + 8
3^3 +8
9+8
17
Laqueta has a $50 gift card for an online music store. Each song costs ss dollars. Write an algebraic expression that represents the amount left on her card after Laqueta buys 7 songs. How much money will be left on her card if each song costs $1.25?
1. The algebraic expression that represents the amount left on her card after Laqueta buys 7 songs is 50 - 7s
2. The money that will be left on her card if each song costs $1.25 is $41.25.
How to illustrate the information?From the information given, Laqueta has a $50 gift card for an online music store and each song costs s dollars.
In this case, the algebraic expression that represents the amount left on her card after Laqueta buys 7 songs will be:
= Total amount - Cost of songs
= 50 - (7 × s)
= 50 - 7s
where s = number of songs
The money that will be left on her card if each song costs $1.25 will be:
= 50 - 7s
= 50 - (7 × 1.25)
= 50 - 8.75
= $41.25
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Rick joined a bootcamp class at his gym that lasted two weeks. in each class, rick does cardio for c minutes and strength training for 30 minutes. rick went to the class 3 times the first week and 4 times the second week. pick all the expressions that represent how long rick worked out in all.
Answer: 7(30 + c) min
Step-by-step explanation:
Total time spent in gym = (30 + c)
Total day went to gym = (3 + 4) = 7 day
Net time = 7(30 + c) min
To make bread, 2 teaspoons of yeast are needed for 500 grams of flour. How many teaspoons of yeast are needed for 750 grams of flour?
Answer:
3 teaspoons.
Step-by-step explanation:
500/2=250 grams per teaspoon
750/250=3
3 teaspoons
What is an equivalent expression for −12(8a − 7b) + 8(4x + 3y)?
−96a + 84b + 32x + 24y
−96a − 84b + 32x − 24y
−96a − 7b + 32x + 3y
−96a + 7b + 32x + 3y
The expression which is equivalent to −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.
The correct answer option is option a
How to find equivalent expression?Equivalent expression are expressions which when solved, the results are equal to the old expression.
-12(8a − 7b) + 8(4x + 3y)
Using PEMDAS
P = parenthesisE = ExponentialM = MultiplicationD = DivisionA = AdditionS = Subtraction- 12(8a − 7b) + 8(4x + 3y)
open parenthesis- 96a + 84b + 32x + 24y
Therefore, the equivalent expression for −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.
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Explain how you would use the commutative property to simplify 8x + 4 + 6x +2.
The commutative property is a mathematical property that states to combine like terms. Like terms are terms that have the same variables and powers.
In the given:
8x + 4 + 6x +2
By adding 8x and 6x, and 4 + 2, you are using the commutative property to simplify this expression.
8x+6x = 14x
4+2=6
The simplified equation is 14x + 6
-------
If you would like to further simplify this expression, factor out the greatest common factor.
The further simplified expression would look like: 2(7x + 3)
The difference of 3 times a number x and 12 is -24.
Write and solve an equation to find the number.
Equation=
X = ?
Which three of the following expenses can student aid cover
tuition
television
school supplies
parties and socializing
boarding/housing
The three of the following expenses which the student aid cover include the following below:
tuitionschool suppliesboarding/housing.What is Student aid?This is referred to as the type of funding which is required to cover the cost of post-secondary education and are usually in the form of scholarships, grants, etc. It is awarded by government or private institutions and most times the highest scorers in an exam determines who will get it.
This aid covers different types of school expenses which are the most important ones such as tuition, school supplies etc thereby making it the correct choice.
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Evaluate f(x) = x + 6 When x = -2,0, and 5
f(-2)= ?
f(0) = ?
f(5) = ?