A billion is the unitary number multiplied by 10 to the power of 9.
\(1\times10^9=1,000,000,000\)A thousand is the unitary number multiplied by 10 to the power of 3.
\(1\times10^3=1,000\)A thousandth is the unitary number divided by 10 to the third power.
\(\frac{1}{10^3}=0.001\)If we have two billions, we just need to multiply one billion by two
\(2\times1\times10^9=2,000,000,000\)Using the same argument for four hundred seventy-five thousand and one hundred fifty thousandths, we have
\(\begin{gathered} 475\times10^3=475,000 \\ \frac{150}{10^3}=0.150 \end{gathered}\)Adding all those numbers together, we have
\(2,000,000,000+475,000+0.150=2,000,475,000.150\)Our number is 2,000,475,000.150.
What is z in this equation
Answer:
I got you rn
Step-by-step explanation:
its 42 because opposite angles are congruent
Answer:
Step-by-step explanation:
z = 53 + 39 {Exterior angle property of triangle}
z = 92°
employees at an arcade are paid according to the number of hours worked as shown in the graph
Answer:
B, C, G
Step-by-step explanation:
If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.
We can take 36.25 and divide that by 5 to get the hourly wage.
36.25 ÷ 5 = 7.25
We now know that employees get $7.25 every hour.
Using this we can look back to the graph.
'A' says that if an employee does not work, they will earn $7.25.
We know that this is wrong because if you do not work, then you do not earn money.
Let's look at 'B'.
If employees work for one hour, they will earn $7.25
We know this is correct because we now know the hourly wage.
Let's look at 'C'
If employees work for 4 hours, then they will get a revenue of $29.
We can figure this out by using this equation.
number of hours × hourly wage = total payment
4 × 7.25 = 29
Then this means that this is correct.
Let's look at 'D'
It says that if employees work for 10 hours, they will earn $73
Let's use that same equation again.
10 × 7.25 = 72.5
Employees earn $72.5 for working 10 hours, not $73.
So, this is obviously incorrect.
Let's look at 'E'
It says that if employees work for 3.5 hours, they will get a revenue of $21.75.
3.5 × 7.25 = 25.375
Therefore, this is incorrect.
Now let's take a look at 'F'.
It says that if employees work for 7.25 hours, then they earn $1.
This is incorrect.
And lastly, 'G'.
We know that if you do not work, then you do not earn money.
Therefore, A, B and G are the correct answers.
Chad has $31,000 in a savings account. The interest rate is 13
% per year and is not compounded. How much will he have in 4
years?
Answer:
1 year interest: $31000 + $4030
2 year interest: $35030 + $4553.9
3 year interest: $39583.9 + $5145.4
4 year interest: $44729.3
Final Interest: $47120
Step-by-step explanation:
I hope this helps! have a nice day!
which of the following represents an example to calculate the sum of numbers (that is, an accumulator), given that the number is stored in the variable number and the total is stored in the variable total?
The formula "total += number" provides an illustration of how to calculate the sum of numbers given that the number is saved in the variable number and the total is saved in the variable total (i.e., an accumulator).
What is the sum of numbers?When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total.
Functions, vectors, matrices, polynomials, and, generally, any sort of mathematical object on which an operation labeled "+" is defined can all be added together, in addition to numbers.
Series are summations of infinite sequences.
These are related to the idea of limits but are not covered in this article.
Given that the number is stored in the variable number and the total is saved in the variable total, the formula total += number gives an example of how to calculate the sum of numbers (i.e., an accumulator).
Therefore, the formula "total += number" provides an illustration of how to calculate the sum of numbers given that the number is saved in the variable number and the total is saved in the variable total (i.e., an accumulator).
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Correct question:
What represents an example to calculate the sum of numbers (that is, an accumulator), given that the number is stored in the variable number and the total is stored in the variable total?
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Lily is 5 years younger than 3 times Landon's age. If Lily is 28 years old, how old is Landon?
Answer:
Landon is 11 years old
Step-by-step explanation:
28+5= 33
33/3= 11
since Lily is five years younger than three times his age you would have to add five. once you add five you divide by three to get Landon's age.
hope this helps!
Answer:
11
Step-by-step explanation:
3x=28+5
3x=33
x=11
Hope this helps!
Fill in the puzzle square to make the same sum from whatever direction you add for grade 4
Plz help!!
Answer:
box e goes:
17, 10, 15
12, 14, 16
13, 18, 11
The sum of three consecutive integers is -15.
If 1 is added to each integer, what is the product.
of the three resulting integers?
list five rational numbers between -4/5 and -2/3 . Please tell by step by step explaintion
9514 1404 393
Answer:
-0.67, -0.68, -0.69, -0.70, -0.71
Step-by-step explanation:
There are an infinite number of ways to do this.
Perhaps the simplest is to do it in decimal.
-4/5 = -0.8
-2/3 = -0.666... (repeating 6)
Any negative decimal number between these values will do. For example, ...
-0.67, -0.68, -0.69, -0.70, -0.71
__
If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).
-2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval
1/6 of this difference is ...
(1/6)(2/15) = 2/90 = 1/45
The interval end point nearest 0 is ...
-2/3 = -30/45
so the 5 intermediate values will be that value with -1/45 repeatedly added:
-31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9
_____
Additional comment
The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.
When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:
-0.68, -0.685, -0.6853, -0.68531, -0.799
which expression is equivalent to 3^4x3^-9
i really hope this helps
divide and Simplify 7/5 ÷7/9
What we have is a fractional division, this is following expression
\(\frac{(\frac{7}{5})}{(\frac{7}{9})}\)For this procedure, it says to multiply the top and bottom ends to get the numerator, and the middle numbers to get the denominator
\(\frac{7\cdot9}{7\cdot5}=\frac{9}{5}\)In conclusion after splitting and simplifying this, the answer is 9/5
How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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what is the difference between -15-9?
Answer:
Step-by-step explanation:
-15-9 = -24
I would think about it as adding 15 and 9, but just make the answer negative.
A golf ball rolls at a speed of 8 m/s for 12 seconds. Mandy hits the golf ball and it rolls
for 16 seconds at a speed of 12 m/s. What is the total distance travelled by the golf ball?
Using the given information, the total distance travelled by the golf ball is 288 m
Calculating the total distance travelled by the golf ballFrom the question, we are to calculate the total distance travelled by the golf ball
The distance travelled by the golf ball can be calculated by using the formula,
Distance = Speed × Time
From the given information,
The golf ball rolls at a speed of 8 m/s for 12 seconds
Thus,
The distance travelled at this time is
Distance = 8 m/s × 12 s
Distance = 96 m
Also,
Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s
The distance travelled at this time is
Distance = 12 m/s × 16 s
Distance = 192 m
The total distance travelled by the golf ball is 96 m + 192 m
=
Hence, the total distance travelled by the golf ball is 288 m
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What is the value of x? Round only your final answer to the nearest hundredth.
The length of the hypotenuse is 12.52 yards.
Given that a right triangle, we need to find the value of the hypotenuse x,
Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.
We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.
Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.
We know that, the cosine of the angle is the ratio of the base to the hypotenuse,
So,
Cos 37° = 10 / x
x = 10 / Cos 37°
x = 12.52
Hence the length of the hypotenuse is 12.52 yards.
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Using synthetic division, what is the factored form of this polynomial?
3.13 – 1612 + 121 + 16
-
A. (3.1 – 2)(– 4)(1 – 2)
B. (3x − 2)(x + 4)(x + 2)
C. (3x + 2)(x – 4)(x - 2)
D. (3x + 2)(x + 4)(x + 2)
Solve for the unknown. q- 5/6=1 5/6
Answer:
q=8/3
Step-by-step explanation:
First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.
Answer:
\(q=2\frac{2}{3}\)
Step-by-step explanation:
The given equation consists of a fraction and a mixed number.
First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:
\(q-\dfrac{5}{6}=1 \frac{5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{11}{6}\)
Now, add 5/6 to both sides of the equation to isolate q:
\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)
\(q=\dfrac{11}{6}+\dfrac{5}{6}\)
As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:
\(q=\dfrac{11+5}{6}\)
\(q=\dfrac{16}{6}\)
Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).
The GCF of 16 and 6 is 2, therefore:
\(q=\dfrac{16\div 2}{6 \div 2}\)
\(q=\dfrac{8}{3}\)
Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:
\(q=2 \; \textsf{remainder}\;2\)
The mixed number answer is the whole number and the remainder divided by the denominator:
\(q=2\frac{2}{3}\)
How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
17, 8, 16, 20, 13, 6. Find the mean and median
Answer:
mean is 20
median is 6
Step-by-step explanation:
I hope this will help you ya wit yo quiz
Deondre drops a nickel from a balcony that is 125 meters in the air. The function y=-5t+125 can be used to represent y, the height of the coin in meters after t seconds. Write and solve an equation to find the time it will take for the coin to hit the ground.
The time it will take for the coin to hit the ground is 5 seconds for the given function.
What is distance?Displacement and distance are terms used to describe how an object or person moves, but they have different meanings.
No matter where anything starts or ends, distance describes how much ground it has travelled. It is a scalar quantity with units like metres, kilometers, miles, etc. for measurement.
On the other hand, displacement describes a change in an object's or a person's location from their original position to their end position, including direction. Since it has both magnitude (the distance) and direction, it is a vector quantity. Displacement can be positive or negative depending on the direction of movement and is measured in units like metres, kilometers, miles, etc.
The given equation is y=-5t² +125.
When the coin hits the ground the value of y = 0 thus,
y = -5t² + 125
0 = -5t² + 125
5t² = 125
t² = 25
t = ±5
Hence, the time it will take for the coin to hit the ground is 5 seconds.
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HELP PLS I WILL MARK BRAINLIEST!!
Multiply (3a+2)(3a-2)
Which of the following categorical variables are considered nominal? A.Exchange on which a stock is traded (AMEX, NYSE, NASDAQ, Other)
B.Product Quality (Poor, Fair, Good, Excellent)
C.Gender (Male, Female)
D.Cell Phone Provider (AT&T, Verizon, T-Mobile, Boost, USCellular)
E.Student Designation (Freshman, Sophomore, Junior, Senior)
F.Level of education (Elementary School, Middle School, High School, College, Graduate School)
Exchange on which a stock is traded, gender, and cell phone provider, are all considered nominal variables. These are options A, C, and D.
A type of categorical variable that can have two or more categories is called a nominal variable. Within these categories however, there is no ordering. A nominal variable doesn't have any numerical characteristics, and it is qualitative in nature. When a variable has a proper numerical ordering, it is then known as an ordinal variable.
A nominal variable can be coded although we can't perform arithmetic operations on them. This means that nominal variables can't be quantified.
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q-6 when q=4 bidmas solution
Answer:
-2
Step-by-step explanation:
substitute q with 4 to get
4-6=-2
Please help me I need to finish this ASAP, if you know this pls help me I’ve been stuck on this for a while! LOOK AT THE IMAGE!
Answer:
2 million
Step-by-step explanation:
1 million + 1 million = 2 million (i think)
ur very welcome
Noah enlarged a photograph by a scale factor of 6. The
how many times as large as the area of the original?
Answer: 36x
Step-by-step explanation:
Let's say hypothetically The square was a 3x3, increasing by a factor of 6 is 18x18 making, 18x18 is, 324 and 324 / 9 is 36, so an increase of 36 times
-1000 2/3 is not real fraction. True or false
True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.
In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.
To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.
It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.
In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
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ALGEBRA please put a very small explanation to the awnser
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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in 1 hour, 32 cars pass through a particular intersection. At the same rate, how long would it take for 96 cars to pass through the intersection?
A 2 hours
B. 3 hours
C 8 hours
D. 16 hours
Answer:
3 HOURS B
Step-by-step explanation:
32x3=96
What is the length of GH?
Answer: 52-9 = 43 units
Step-by-step explanation: