Answers
We are given
\(\frac{4.5\times10^{11}}{6\times10^2}\)We want to write using a calculator
Solution
We first note that
\(10^n=En\)on calculator
Now, we come back to the question
\(\begin{gathered} \frac{4.5\times10^{11}}{6\times10^2} \\ \frac{4.5\times E11^{}}{6\times E2^{}} \\ \frac{4.5E11^{}}{6E2^{}} \end{gathered}\)Thus, the answer is (4.5E11)/(6E2)
Option B
Related Questions
An employee put $7,000.00 in a retirement account that offers 5% interest compounded annually. The employee makes no additional
deposits or withdrawals. Which amount is closest to the interest the employees will have earned at the end of 4 years?
A
x B $7,350.00
1x C
$1,400.00
D
$1,508 54
$8,508.54
Answers
Answer:
$1508.54
Step-by-step explanation:
A = p(1 + \(\frac{r}{n}\))^nt
A = 7000(1+ .05)^4
A = 7000(1.05)^4
A = 8508.54 This is the total amount (principle and interest
Subtract out the principle
8508.54 - 7000 = 1508.54
A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Answers
Answer:
the answer is D
Step-by-step explanation:
Answer:
graph D
Step-by-step explanation:
passed quiz
How much is KM?
Help me please!!!
Answers
Answer: 3
Step-by-step explanation:
By the intersecting chords theorem,
\((KM)(16)=(4)(12)\\\\KM=3\)
It takes Jamil 40 minutes to drive to work, plus or minus 8 minutes depending on traffic. Which of the following equations could be solved to find the shortest or longest times she might drive?
Answers
Answer:
addition
Step-by-step explanation:
add 40+8 and you get 48 :P
HELP? is this easy or am i ?? HELP
Answers
Answer:
6960
Step-by-step explanation:
Im Not Sure of this. Can I get some help?
Answers
Answer: The amount of grain it can hold can also be called it's volume. 423.9
The formula for volume is PI × Raduis² × Height
And for the radius we divide the diameter by 2.
Answer:
Option A.
V = π × r(9)² × 15 ≈ 3,817.04
Which rounds closest to
3,815.10 inches
You work in Social Media as a consultant. You are working on a new report to examine trends in Social Media usage and age. You conducted a survey of 1072 people randomly selected in the United States (you limited minimum age to 12). The file "Usagef.xlsx" has results of the survey. For each Social Media platform you have a 0/1 variable indicating whether or not the person said they used the platform in the last 6 months. For each of those variables, 1 means the person did use the platform in the last 6 months and 0 means they did not. You also have the age of each respondent calculated based on birth date (so 43.56 means the individual is 43.56 years old). There are two additional variables:
Young adult: 1=respondent is under 35; 0=respondent is 35 or over.
Platforms Used: The total number of Social Media platforms used in the last 6 months.
Please use this information and the data in the excel spreadsheet "Usagef.xlsx" to answer the following questions:
Assuming the sample is a random sample of the U.S. population, what is the upper bound of the 95% confidence interval for the average age in the U.S?
Answers
The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.
Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.
Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.
Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
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The endpoints of CD are C(-8, -1) and D(2,4). Find the coordinates of midpoint M
Answers
Answer:
M(-3;3/2)
Step-by-step explanation:
substitute in this formula of finding midpoint coordinate:M(x1+x2÷2;y1+y2÷2)
HELP MEHHHHHHHHHHHHHH AGAIN! MORE GRAPHS! YOU'LL GET BRAINLIEST IF YOU'RE CORRECT!
Answers
Answer:
D
Step-by-step explanation:
hope it helps
Answer:
Step-by-step explanation:
Babe u here
what is the integer closest to zero?
Answers
Answer:
The answer is 25
Step-by-step explanation:
What I would is to first divide 78 by 3. That will get you 26. Then add one to get 27, subtract one to get 25. 25+26+27=78
The answer is 25.
Answer:
25
Step-by-step explanation:
We have 3 consecutive integers. Let's call the first one n.
The other two will then have the values of n+1 and n+2:
First number: n
Second number: n+1
Third number: n+2
Let's write the expression for the sum of these 3:
\(n + (n + 1) + (n + 2)\)
\(3n + 1 + 2\\\)
\(3n + 3\)
The sum, 3n+3, is equal to 78:
\(3n+3 = 78\)
Subtracting 3 from both sides:
\(3n = 75\)
Dividing both sides by 3:
\(n = 25\)
Now, let's find the values of our 3 numbers:
First number, n
n = 25, so our first number is 25.
Second number, n+1
n + 1 = 25 + 1 = 26, second number is 26
Third number, n+2
n + 2 = 25 + 2 = 27, third number is 27
Our 3 numbers are 25, 26, 27. The one closest to 0 is the smallest one, or 25.
Answer: 25
Last month, Nate spent 12 % of his paycheck on
car repairs and 25 % of the remainder on food.
He gave $ 1,320 of the remaining money to his
parents and then bought a computer on sale. If
the usual price of the computer was $ 825 and
the discount was 20 %, how much money did
Nate have in the beginning?
Answers
Nate had $3000 at the beginning.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Let the original amount of money is P
Nate spent 12 % of his paycheck on car repairs
⇒ 12% of P = 12P/100
And he spent 25 % of the remainder on food.
⇒ 0.25(88/100)P
He gave $ 1,320 of the remaining money to his parents
⇒ 1320
If the usual price of the computer was $ 825 and the discount was 20 %
⇒ 825 - 0.20(825) = 660
P = 12P/100 + 0.25(88/100)P + 1320 + 660
P - 34P/100 = 1980
100P - 66P = 198000
P = 3000
Hence, Nate had $3000 at the beginning.
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PLEASE HELP !!!!!!!!!!!!!
Answers
Answer:
the 3rd won for sure
Step-by-step explanation:
hope I helped
Answer:
C
Step-by-step explanation:
The coordinates are all in (x, y) form.
X is how left or right
y is how tall.
If you just look for the individual coordinates given, you will see that all of the Coordinates in C are on the graph.
I hope this helps!
Find the general solution of the differential equation. Just choose any 2
a. yy' = -8 cos (πx)
b. √(1-4x^(2)y') = x
c. y ln x -xy' = 0
Answers
The general solutions to the given differential equations are as follows:
a. For the differential equation yy' = -8 cos(πx), the general solution can be found by separating variables and integrating. After integrating, we obtain the solution y^2/2 = -8 sin(πx)/π + C, where C is the constant of integration.
b. For the differential equation √(1-4x^2)y' = x, we can solve by separating variables and integrating. By integrating, we find √(1-4x^2) = (x^2/2) + C, where C is the constant of integration.
a. To solve the first differential equation yy' = -8 cos(πx), we can separate variables by writing it as ydy = -8 cos(πx)dx. Integrating both sides gives y^2/2 = -8 sin(πx)/π + C, where C is the constant of integration. To find the general solution, we can multiply both sides by 2 and take the square root, yielding y = ±√(-16 sin(πx)/π + 2C).
b. For the differential equation √(1-4x^2)y' = x, we can start by separating variables to obtain √(1-4x^2)dy = xdx. Integrating both sides gives the equation √(1-4x^2) = (x^2/2) + C, where C is the constant of integration. To simplify the equation, we square both sides, which leads to 1-4x^2 = (x^2/2 + C)^2. Solving for y, we get y = ±√[(x^2/2 + C)^2 - 1 + 4x^2]. This represents the general solution to the differential equation.
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Find the value of x.
Answers
x = 54
Suppose the liquor tax actually had no impact on consumption (µ = 0), what is the probability of finding a Y¯ of 1.5 ounces or more in your sample
Answers
The probability of finding a sample mean (Y¯) of 1.5 ounces or more when the liquor tax has no impact on consumption (µ = 0). To determine this probability, we would use the Central Limit Theorem and the z-score formula.
Since the population mean (µ) is 0, we'll need to know the population standard deviation (σ) and the sample size (n) to proceed. Without these values, it's impossible to provide an exact probability. However, I can explain the general process.
First, you would calculate the standard error (SE) using the formula SE = σ / √n. Next, you would find the z-score, which is the difference between the sample mean (Y¯) and the population mean (µ) divided by the standard error: z = (Y¯ - µ) / SE.
Once you have the z-score, you can look it up in a standard normal distribution table or use a calculator to find the probability associated with it. In this case, you're looking for the probability of finding a sample mean of 1.5 ounces or more, which corresponds to the area to the right of the z-score in the distribution.
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Booker earned $1,200 over
the summer. He invested the money in
stocks. To his surprise, the stocks increased
in value to $1,335 in only 9 months. Find
the simple interest rate for the investment.
Answers
Answer:
15%
Step-by-step explanation:
1335-1200=135
9 months=9/12
135=1200 x r x 9/12
135=900r
divide each by 900
135/900 900r/900
0.15=r
0.15=15%
Which of the following constants can be added to x^2- 3x to form a perfect square trinomlal?
A. 2 1/4
B. 1 1/2
C. 4 1/2
Answers
Answer:
A 21/4
Step-by-step explanation:
When forming a perfect square trinomial you need to "complete the square".
All of the steps to completing the square when solving an equation:
1. The leading coefficient must be 1.
2. Divide b by 2.
3. Square (b/2)
4. Add (b/2)^2 to both sides to keep the polynomial balanced.
5. You can now write the perfect square trinomial and solve.
x^2 - 3x
-3/2
(-3/2)^2 = 9/4 = 2 1/4
10 +(10 + (10 - 5)2)
+ 6
Answers
Answer:
36
Step-by-step explanation:
PEMDAS
Step-by-step explanation:
10+(10+(10-5)2)+6
=10+(10+5)2)+6
=10+(20+10)+6
=10+30+6
=46
please help me !! find the x intercept and the y intercept
Answers
y intercept: when x = 0
Plug info inside the equation
3x + 7(0) = 42
3x = 42, x = 14
Therefore, x intercept: (14,0)
3(0) + 7y = 42
7y = 42, y = 6
Therefore, y intercept: (0,6)
A small airplane climbs at an
angle of 18° with the ground.
Find the horizontal distance it
has flown when it has reached an
altitude of 800 m.
a) 2,462 m
b) 260 m
c) 761 m
d) 2,588 m
e) 841 m
Answers
Answer:
Choice C, 761 m
Step-by-step explanation:
let horizontal distance be x
in the right triangle, cos= adj/hyp
cos(18)=x/800
x=cos(18)×800= 760.845≈ 761
I need this ASAP pls help lol
Answers
Answer:
x = 11
Step-by-step explanation:
90-35 = 55
55/5 = 11
At the international panckes hut, there are 4 different ways to have an egg cooked, 7 different choices of pancakes, 5 different types of syrupes and 8 different beverages. How many different ways are there to order an egg, a pancakge with a choice of syrup and a beverage?
Answers
There are 1,120 different ways to order an egg, a pancake with a choice of syrup, and a beverage.
Given data: 4 different ways to have an egg cooked, 7 different choices of pancakes, 5 different types of syrups and 8 different beverages.The total number of different ways are there to order an egg, a pancake with a choice of syrup, and a beverage can be calculated as follows: Multiplying the number of choices for each item together.
That is 4 ways to have an egg cooked x 7 choices of pancakes x 5 choices of syrup x 8 beverages= 4 x 7 x 5 x 8= 1120 Thus, there are 1,120 different ways to order an egg, a pancake with a choice of syrup, and a beverage.
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An account executive receives a base salary plus a commission. On $20,000 in monthly sales, an account executive would receive compensation of $1,900. On $40,000 in monthly sales, an account executive would receive compensation of $2,700. Determine a linear function that yields the compensation y (in dollars) of a sales executive for x dollars in monthly sales.
Answers
Answer:
The equation is y = 0.04x + 1100
Step-by-step explanation:
The computation of the linear function is as follows
Here the slope-intercept form could be used i.e.
y = mx + b
where,
x = monthly sales
and, y = compensation
x_1 y_1 x_2 y_2
($20,000, $1,900) ($40,000, $2,700)
Now
m = (y_2 - y_1) ÷ (x_2 - x_1)
= ($2,700 - $1,900) ÷ ($40,000 - $20,000)
= ($800) ÷ ($20,000)
= 2 ÷50
= 4%
Now for determining the b one of the ordered pairs could be chosen and then placing it into the above equation
y = mx+b.
Let use (x_2, y_2) or ($40,000, $2,700)
y = mx+b
$2,700 = 0.04 ($40,000)+b
$2,700 = $1,600 + b
b = $1,100
So,
The equation is y = 0.04x + 1100
Evaluate.
12 ÷(2 + 2/3) to the power of 2
PLEASE BE QUICK !!!
Answers
Answer:
d) 1 11/16
Step-by-step explanation:
Given problem,
→ 12 ÷ (2 + 2/3)²
Let's solve the problem,
→ 12 ÷ (2 + 2/3)²
→ 12 ÷ ((6 + 2)/3)²
→ 12 ÷ (8/3)²
→ 12 ÷ (64/9)
→ 12 × (9/64)
→ 108/64
→ 27/16 = 1 11/16
Hence, answer is 1 11/16.
A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.
How much liquid can the filter hold without it overflowing?
A.
B.
C.
D.
Answers
Answer:
9.42 cubic inches
Step-by-step explanation:
We are to find the volume of the cone.
The formula is given as:
1/3πr²h
From the question,
Diameter = 3 inches, Radius = D/2 = 3/2
r = 1.5 inches
h = 4 inches
Hence, the volume of the cone =
1/3 × π × 1.5² × 4
= 9.42 cubic inches
Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.
A person swims 6.4 meters per
second north while being
pushed by a current moving
west at 2.1 meters per second.
What is the magnitude of the
swimmer's resultant vector?
Answers
Answer:
4.3
im not sure
correct me if im wrong
Answer
6.7
Step-by-step explanation:
Works on acellus
The next number in the arithmetic sequence 10, 23, 36, ___ is:
Answers
Answer:
49
Step-by-step explanation:
10 to 23 is 13, and 23 to 36 is 13. so you just add 13 to 36 to get 49
Who wants to help with a math discussion?
The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.
Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?
Answers
The distance between two points is the number of units between them.
Halfway points (a) and (b)
To locate a point halfway points (a) and (b), we use the following steps
Calculate the absolute difference between both pointsDivide the absolute difference by 2Add the quotient to the smaller point.Assume the smaller value is (a), the point (P) halfway points (a) and (b) would be
\(P = a + \frac{|a - b|}{2}\)
Take for instance, a = 5, and b = 10.
The halfway point would be:
\(P = 5 + \frac{|5 - 10|}{2}\)
\(P = 5 + \frac{5}{2}\)
\(P = 5 + 2.5\)
\(P = 7.5\)
The halfway point between 5 and 10 is 7.5
The formula works for negative values, and absolute values are used to return the actual difference between both points
Real world circumstance
The formula can be used to calculate the halfway distance between a school gate and the school library (as an instance)
Fractional distance
To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.
Take for instance, three-fourths from (a) to (b) would be:
\(P = a + \frac{3|a - b|}{4}\)
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What are all the subsets of the given set
D={x|x is a day in a week}
Answers
{ } the empty set
All the sets containing one day {Monday} {Tuesday} {Wednesday} {Thursday} {Friday} {Saturday} {Sunday}
All sets containing two days eg {Monday, Tuesday} {Monday, Wednesday} etc
All sets containing three days eg {Monday, Thursday, Sunday} etc
All sets containing four days
All sets containing five days
All sets containing six days (missing a day)
The set contains seven days
There are 128 subsets and I got bored listing them all
NEED HELP ASAPP!! PLEASE CLICK THE SCREENSHOT!
Answers
Answer:
a. 4.5 cm
b. 151 cm
I hope this helps!
U would first subtract the 3 heights to get part a then to get part b add the number I get from part a and add it to 133 to get your answer