What is the product of 1.6 × 10³ and 2.9 × 10³ expressed in scientific notation?
Answer:
4.64x10^6
Step-by-step explanation:
5 Complete the table. Rounded to the nearest 10 100 1,000 10,000 100,000 1,000,000 3,147,283 68,547 69,000 1,656,908 900,571
The completion of the table by rounding the numbers to the nearest 10, 100, 1,000, 10,000, 100,000, and 1,000,000 is as follows:
Rounded to Numbers
the nearest 3,147,283 68,547 1,656,908 900,571
10 3,147,280 68,550 1,656,910 900,570
100 3,147,300 68,500 1,656,900 900,600
1,000 3,147,000 69,000 1,657,000 901,000
10,000 3,150,000 70,000 1,660,000 900,000
100,000 3,100,000 100,000 1,700,000 900,000
1,000,000 3,000,000 0.068547 2,000,000 1,000,000
What is a rounding number?Rounding a number involves, making it simple and very close to its true value, sometimes, using zeros or scientific notations.
Rounding a number is also known as an approximation, which is an estimate before the actual calculation is carried out.
Rounded to Numbers
the nearest 3,147,283 68,547 1,656,908 900,571
10 3,147,280 68,550 1,656,910 900,570
100 3,147,300 68,500 1,656,900 900,600
1,000 3,147,000 69,000 1,657,000 901,000
10,000 3,150,000 70,000 1,660,000 900,000
100,000 3,100,000 100,000 1,700,000 900,000
1,000,000 3,000,000 0.068547 2,000,000 1,000,000
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Let the graph of g be a translation 4 units left followed by a horizontal shrink by a factor of 1/3 of the graph of f(x)=x²+x. Write a rule for g
The transformed function is:
g(x) = (3*(x + 4))² + (3*(x + 4))
How to write the transformed function?Here we have the function:
f(x) = x² + x
Now we want to apply a translation of 4 units to the left, followed by a horizontal shrink by a factor of 1/3.
First, the translation is written as:
g(x) = f(x + 4)
Now the shink will give:
g(x) = f( 3*(x + 4))
Replacing the actual function we will get:
g(x) = (3*(x + 4))² + (3*(x + 4))
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Pre-Calc: Perform the operation and write the result in standard form. (Simplify completely)
[tex]\left( \sqrt{-27} \right)^2\implies \left(\sqrt{(-1)(27)} \right)^2\implies \left( \sqrt{-1}\cdot \sqrt{27} \right)^2\implies \left( \sqrt{-1} \right)^2 \left( \sqrt{27} \right)^2 \\\\\\ i^2\cdot 27\implies -1\cdot 27\implies -27[/tex]
A cyclist rode at an average speed of 15 mph for 30 miles. how long was the ride? 0.5 hours 0.5 hours 1 hour 1 hour 2 hours 2 hours 3 hours
Answer:
2 hours
Step-by-step explanation:
Answer: 2 hours
Step-by-step explanation:
using the relationship distance = speed × time, the time = 2 hours
For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours. john owns one of these computers and wants to know the probability that the length of time will be between 50 and 70 hours? choose one.
The probability that the length of time will be between 50 and 70 hour is 0.4082.
What is normal distribution?Height is a simple instance of an event that describes a normal distribution: most people are of medium height, the proportions of people who are taller and shorter than average are roughly equal, and a very small (but still roughly equivalent) proportion of people either are extremely tall or extremely short.
Now, as per the given question;
Let t be the variable representing the length of time (t = 50)
As a result, the mean of the battery is 50 and the standard deviation is 15.
Thus, μ = 50 (mean) σ = 15 (standard deviation)
Now, we must calculate the probability that t is between 50 & 70.
Thus, the probability P (50 < t < 70)
The z-value will be calculated as;
Z = (t – μ) / σ
Substitute the values,
Z = 50 – 50 / 15
Z = 0
Now, for the time; t = 70
Z = 70 – 50 / 15
Z = 1.33
Thus, the probability is;
P(50 < t < 70) = P(0 < z < 1.33)
So, the area to left of Z
= 1.33 – area to the left of z = 0
= 0.9082 – 0.5
P(50 < t < 70) = 0.4082
Therefore, the probability that the length of time will be between 50 and 70 hours is 0.4082.
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2/3 of the sum of nine and p
The resulting expression for 2/3 of the sum of nine and p is 2/3(9+p)
Translating expression to wordsAccording to the question, we are to write the given statement as an expression
Let the unknown variable be p such that the sum of nine and p is 9 + p
Since "of" means multiplication, hence;
2/3 of the sum of nine and p will be expressed as;
2/3 of (9 + p)
2/3 * (9 + p)
2/3(9+p)
Hence the resulting expression for 2/3 of the sum of nine and p is 2/3(9+p)
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Which two of the calculations give the same answer?
12 ÷ 3
1.4 +2.6
1.4 x 3
2.1+2.4
Answer:
A and B
Step-by-step explanation:
i need help with this question
Answer:
x = 1 and x = -3
Step-by-step explanation:
if y = f(x) and f(x) = -5, this means y = -5
draw a horizontal line at y = -5 and see write the x values for where the line intersects with the graph.
The x values are:
x = 1 and x = -3
Suppose a/b c/d and e/f represent three rational numbers. If a/b is less than c/d and c/d is less then e/f compare a/b and e/f explain
We get that a / b will also be less than e / f.
A rational number means a number that can be written in the form of p / q.
We are given the three rational numbers:
a / b , c / d and e / f.
We are also given that:
a / b < c / d …(1)
c / d < e / f …(2)
Multiply (1) and (2), we get that:
a / b × c / d < c / d × e / f
Dividing both sides by d / c, we get that:
a / b < e / f
So, a / b will also be less than e / f.
Therefore, we get that a / b will also be less than e / f.
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»
What number is equivalent to
32 +6 (14-5×2) ÷ 4
A 23/1
B 10/
C 14
D 15
The result of the given equation is 14.
This is an problem of simplification. And for simplification we need to understand the rule of BODMAS.
BODMAS means we have to first solve B for bracket, O for of, D for divide, M for multiplication, A for addition and S for subtraction.
The rule of BODMAS has to be followed in order to solve any equation in simplification method.
Here the problem is;
32+6(14-5×2)÷4
⇒32+6(14-10)÷4
⇒32+6(4)÷4
⇒32+24÷4
⇒56÷4
⇒14
So, the solution of the given equation gives 14 as the answer.
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Which of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not to scale.)
Line segment VW is the segment bisector is true based on the diagram
as it is showed in the diagram that the line segment vw divides segment TU in two equal parts so line segment VW is segment bisector
line segment VW cannot be a perpendicular bisector because it is not mentioned that Line segment VW divides side TU at right angle that is at 90°
line segment VW cannot be a angle bisector because Line segment VW does not lie on any angle
v is not the vertex of pair of congruent angles and w is not the vertex at the right angle
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if a+1=b+2=c+3=d+4=a+b+c+d+5 what is a+b+c+d
HII NEED HELP PLEASE! I DON'T UNDERSTAND
Answer: f(-2)=3
Step-by-step explanation:
f(-2)=(-2-1)^2+3(-2)
=9-6
=3
This is the only true statement out of the questions.
So the answer would be -2.
What is the coefficient of the term of degree 1 in the polynomial 2x^8-5^2+3x+4
Answer:nk it is the letter A
Step-by-step explanation:
The MyTunes song app sells music downloads. Over the past few years, the service
has lowered its prices. The table shows the price per song and the number of songs
downloaded per day at that price.
Price per
Song
$0.89
$0.79
$0.69
$0.59
$0.49
$0.39
Number of Downloads (in
thousands)
1,212
1,704
1,760
1,877
1,944
2,011
The approximate number of downloads at a price of $0.54 per song is ______
The approximate number of downloads at a price of $0.54 per song is 1910.5
As the problem given we have The table shows the price per song and the number of songs downloaded per day at that Price per Song.
Price per song number of songs
downloaded per day at that price
$0.89 1,212
$0.79 1704
$0.69 1760
$0.59 1877
$0.49 1944
$0.39 2011
The formula for the linear interpolation process y = y1 + ((x – x1) / (x2 – x1)) * (y2 – y1), where x is the known value, y is the unknown value. x1 and y1 are the coordinates that are below the known x value, and x2 and y2 are the coordinates that are above the x value.
here x1= 0.49 y1= 1944 x2= 0.59 y2=1877 x=0.54
y=1944+((0.54-0.49)/(0.59-0.49))*(1877-1944)
y=1944-33.5=1910.5
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6. x+1<-3 I need this done tonight I don’t know how to solve this.
Answer:
x<-4
Step-by-step explanation:
You just subtract the 1 from both sides and the sign stays the same UNLESS you are dividing by a negative number, then it will change. Good luck on your hw :)
HELP ME ASAP FOR MATHS
Answer:5 higher and 1 horizontal
Step-by-step explanation:
Describe three different ways you can determine that an angle is a right angle.
The three different ways you can determine that an angle is a right angle are as follows:
B) You can determine whether an angle is right if it is marked with a right angle symbol.
D) You can determine whether an angle is right if the angle is a vertical pair with a right angle.
E) You can determine whether an angle is right if the angle forms a linear pair with a right angle.
What is a right angle?A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angle has a measure of 90 degrees.
In conclusion, we can reasonably infer and logically deduce that all right angles are marked with a right angle symbol and they are formed as a linear pair.
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Complete Question:
Describe three different ways you can determine that an angle is a right angle.
A) You can determine whether an angle is right if the angle is congruent to the complement of the angle.
B) You can determine whether an angle is right if it is marked with a right angle symbol.
C) You can determine whether an angle is right if it is formed by two lines that appear to be perpendicular.
D) You can determine whether an angle is right if the angle is a vertical pair with a right angle.
E) You can determine whether an angle is right if the angle forms a linear pair with a right angle.
need help solving this
If you can't answer this question
what is the radical expression that is equivalent 27 ⅕?
Answer:
[tex]\sqrt[5]{27}[/tex]
Step-by-step explanation:
27^(1/5) = [tex]\sqrt[5]{27}[/tex]
How do you know the value of x is positive?
It depends on the answer and the number of y
How much of the daily value must a snack meet in order for the fda to consider it a ""good source"" of nutrients? 10 percent to 19 percent 10 percent to 19 percent 25 percent to 35 percent 25 percent to 35 percent 30 percent to 40 percent 30 percent to 40 percent 50 percent to 59 percent
10 percent to 19 percent of daily value must a snack meet in order for the FDA to consider it a ""good source"" of nutrients.
The Food Manufacturer or Distributor is responsible for ensuring their food product labeling complies with FDA regulations. FDA will not review or approve food labels. If the labels do not comply with FDA requirements, the FDA will consider the product as misbranded and may take regulatory action, including detention.
LMG's Label review service will help you confirm your product labels comply with FDA requirements. We have designed three types of label review services; you can choose the best service which fits your products.
( Food Label Compliance : FDA , Food and Drug administration)
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Sean decides to start a small business creating and selling outdoor yard games. It will cost Sean $50 to make each game as well as an initial cost of $300 to purchase the needed equipment and supplies. He plans to sell each game for $85. The system of equations below models the cost and revenue for Sean's outdoor yard games where x represents the number of games and y represents the amount, in dollars.
The break even point obtained for the Sean's business is (60/7, 5100/7).
How to describe the linear equation in two variables?A linear equation in 2 variables is one that is written in the form ax + by + c = 0, where a, b, and c are real numbers and thus the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 12x+8y = 9 and -x+8y = 3 are two-variable linear equations.Part of the question is missing where x denotes a number of games and y denotes the monetary value.
y = 50x + 300
y = 85x
Estimate Sean's business's break-even point.
Calculate the same break even point by following method;
The functions are as follows:
The functions are given as:
Cost: y = 50x + 300 ......equation 1
Revenue: y = 85x .......equation 2
For the value at break even point;
Cost = Revenue
Thus, equating 1 and 2.
85x = 50x + 300
simplifying;
35x = 300
Dividing both sides by 35
x = 60/7
Put x = 60/7 in equation 2
y = 85 × 60/7
y = 5100/7
Therefore, the break even point are obtained as (60/7, 5100/7).
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The complete question is-
Sean decides to start a small business creating and selling outdoor yard games. It will cost Sean $50 to make each game as well as an initial cost
of $300 to purchase the needed equipment and supplies. He plans to sell each game for $85,
The system of equations below models the cost and revenue for Sean's outdoor yard games where x represents the number of games and y represents the amount, in dollars.
y = 50x + 300
y = 85
Kiara is covering part of this rectangular box with duct tape. she is covering the four sides but not the top or bottom. 4 in. 4 in. 20 in. what is the total area that kiara will cover with duct tape? show your work.
160 square inches duct tape is needed to cover.
The mentioned box is rectangular according to the question and Kiara have to cover top and the bottom part with this duct tape .
Thus we have to find the area of the box , where 4 inch is the width of this box and 20 in. is the length . To find the area we will use the formula , (Area = length × width)
∵ The area is , ( 4 × 20 ) square inches = 80 square inches
for the top part it is 80 inc² and for the bottom it's again 80 inch² , so she have to cover total ( 80+ 80) inc² = 160 in.²
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160 square inches duct tape is needed to cover.
The mentioned box is rectangular according to the question and Kiara have to cover top and the bottom part with this duct tape .
Thus we have to find the area of the box , where 4 inch is the width of this box and 20 in. is the length . To find the area we will use the formula , (Area = length × width)
∵ The area is , ( 4 × 20 ) square inches = 80 square inches
for the top part it is 80 inc² and for the bottom it's again 80 inch² , so she have to cover total ( 80+ 80) inc² = 160 in.²
160 square inches duct tape is needed to cover.
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Suppose that both of the events you have just analyzed are partly responsible for the increase in the price of pizzas. Based on your analysis of the explanations offered by the two groups of students, how would you figure out which of the possible causes was the dominant cause of the increase in the price of pizzas?.
The supply curve swings left along the demand curve, raising the price of the pizza shops to close. If individuals just have a greater interest in beer, the demand curve will shift to the right, which will cause the price to rise as the supply curve is moved to the right. Apply this knowledge to the rest of the analysis.
If the price increase was modest, then the movement in supply in the pizza market must have outweighed the shift in demand. The supply shift in the pizza market must have been greater than the demand shift if the equilibrium amount of pizzas declines. The price of pizzas must have changed as a result of whichever modification happened first. If the amount of pizzas in the equilibrium market falls, the demand shift must have been greater than the supply shift.
The demand curve changes to its proper position. It happens as a result of people switching to eating pizza instead of pizzas. The new equilibrium price rises as a result of the new demand curve and the existing supply curve.
A rise in supply and a decline in demand will result in a decrease in the equilibrium price, but the impact on the equilibrium quantity cannot be predicted. Consumers now place less significance on price for any quantity, and producers are willing to simply accept a lower price; as a result, the price will decrease.
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Consider the pair of points below.
(-5, -4)
(-1,8)
Find the slope of the line passing through the pair of points.
m =
To find the x-intercept from an equation, you substitute ___ for the variable ___
and solve for ___
.
To find the y-intercept from an equation, you substitute ___ for the variable __
and solve for ___
.
To find the x-intercept from an equation, you substitute 0 for the variable y
and solve for x
To find the y-intercept from an equation, you substitute 0 for the variable x
and solve for y.
How to find x-intercept and y-intercept in an equation?The x-intercept is where a line crosses the x-axis.
In other words, the x-intercept is the value of the x coordinate of a point where the value of y coordinate is equal to zero.
The y-intercept is the point where the line crosses the y-axis.
In other words, the y-intercept is the value of the y coordinate of a point where the value of x coordinate is equal to zero.
Hence,
To find the x-intercept from an equation, you substitute 0 for the variable y
and solve for x
To find the y-intercept from an equation, you substitute 0 for the variable x
and solve for y.
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Which of these number sentences are true?
A) 12.02 < 6.54 x 10^2
B) 12.02 > 6.54 x 10^2
The 12.04< [tex]6.54 * 10^2[/tex] number sentences are true.
Option (A) is correct.
What is integer?
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
The given number is
12.02 and [tex]6.54*10^2[/tex]
We have to choose the sentences are true.
According to given question we have
The greater-than sign is a mathematical symbol that denotes an inequality between two values.
6.54 x 10^2
When we can multiply the value of 6.54*100 we get
654
The number is greater than 12.02
i.e 654>12.04
It is written as
12.04< [tex]6.54 * 10^2[/tex]
Therefore, the 12.04< [tex]6.54 * 10^2[/tex] number sentences are true.
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What is the surface area of a pyramid with measurements of 4cm by 4cm by 7cm
Answer:
Area of one face of pyramid equal 18.55
Step-by-step explanation:
Area of pyramid equal 18.55x4=74.2