Which number is greater than 3.14159 × 10^7?A.5,678,889B.9.897752 x 10^6C.71,224,900D.2.468 × 10^7
Answers
To answer questions with power 10, one of the ways we can do it is to write all the numbers without the power 10.
The number in the power is the number of places we need to get the number to the left of the decimal dot. Remeber that if we don't have any more decimal places, we add 0s instead.
So, the number
\(3.14159\times10^7\)Need to get 7 places to the left, so we start with the decimal places and, when we don't have decimal places anymore, we add zeros. We can 5 number on the decimal places, so we will put all of these to the left and we will still need two more zeros to complete all the 7 in the power 10:
\(3.14159\times10^7=31,415,900\)Notice that before we had only one number to the left of the decimal dot, the "3", but now we have a total of 8, the 1 we had plus the 7 we got from the power 10.
in the options, we have two of them in power ten, so we can do exactly the same with them:
\(9.897752\times10^6=9,897,752\)We started with 1 and ended with 7 to the left of the decimal dot.
And the last is:
\(2.468\times10^7=24,680,000\)Now, we can compare them all:
\(\begin{gathered} 31,415,900 \\ 5,678,889 \\ 9,897,752 \\ 71,224,900 \\ 24,680,000 \end{gathered}\)We can see the the two first options are one place less then the number we have, so they are less than it.
The last two are in the same place, but the last have a lower number, so it is less than the one we have.
So, the only one that is greater than the one we have is the one in alternative C.
Related Questions
Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept -3
Answers
Answer:
It is
\({ \underline{ \sf{y = - \frac{3}{2}x - 3 }}}\)
Step-by-step explanation:
General equation:
\({ \sf{y = mx + c}}\)
m is the slope
c is the y-intercept
\(y = - \frac{ 3}{2} x - 3\)
Consider the sample space given below.
A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.
S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}
Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.
Answers
Answer:
1 / 6
Step-by-step explanation:
Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.
The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.
The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.
n(S) = 36
Let E be an event that the numbers showing face up are the same.
E = {11, 22, 33, 44, 55, 66}, n(E) = 6
The probability of E = P(E) = number event / number of possible outcomes =
P(E) = n(E) / n(S) = 6 / 36 = 1 / 6
from 5x² - 6x + 8, subtract 3x² - 2x - 4
Answers
Answer:
Step-by-step explanation:
2x squared-4x+4
Answer:
-2
Step-by-step explanation:
HOPE THIS HELPS
Ivanna received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.03 per pound. After buying the coffee, she had $47.88 left on her card. How many pounds of coffee did she buy?
Answers
Answer:
4 pounds
Step-by-step explanation:
First, we can calculate how much money Ivanna spent by subtracting her remaining balance after buying the coffee from the original amount on the gift card.
amount spent = $80 - $47.88 = $32.12
Now, we can calculate how many pounds of coffee she bought by dividing the amount she spent by the price rate of coffee by pound.
\(\$32.12 \div \dfrac{\$8.03}{1 \text{ lb}}\)
\(= \$32.12 \times \dfrac{1 \text{ lb}}{\$8.03}\)
\(= \dfrac{32.12}{8.03} \text{ lb}\)
\(= \boxed{4 \text{ lb}}\)
So, Ivanna bought 4 pounds of coffee.
Answer: Ivanna bought 4 pounds of coffee for an amount of$32.12.
Step-by-step explanation:
According to the question,
Money with Ivanna initially: $80
Money with Ivanna later: $47.88
step 1: here we need to find the difference between the amount initially and later,
Difference between the amount initially and later: $80 - $47.88 = $32.12
Given,
Price of coffee per pound: $8.03
Step 2: now we divide the amount spent by the price per unit of coffee,
that is: $32.12/$8.03 = 4
so the answer is Ivanna bought 4 pounds of coffee for an amount of$32.12
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Suppose that E and F are two events and that P(E)=0.2 and P(F|E)=0.5 What is P(E and F)?
Answers
By definition of conditional probability,
P(F | E ) = P(F and E ) / P(E )
Then
P(F and E ) = P(F | E ) P(E ) = 0.5 • 0.2 = 0.1
Ed Moura has $73000 invested in stocks paying 8%. How much additional money should he invest in certificates of
deposit paying 4% so that the average return on the two investments is 5%?
Answers
Answer:
The additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is 219,000.
Step-by-step explanation:
It is given that Ed Moura has $73,000 invested in stocks earning an average return of 8%, and that he should put the remaining funds in certificates of deposit paying an average return of 4%, the average return on the two investments is 5%, than;
=> 0.08 (73,000) + 0.04b = 0.05 (b + 73,000)
=> 5840 + 0.04b = 0.05b + 3650
=> 0.01b = 2190
=> b = 219,000
=> $219,000
Therefore, the additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is $219,000.
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How have vaccines impacted health?
A: Vaccines have only made a little progress at preventing most diseases.
B: Vaccines are effective on some people but not others.
C: Large numbers of people have had allergic reactions to vaccines
D: Some diseases have almost completely disappeared
Answers
Answer:
D some disease have almost completely disappeared
A triangle with side lengths of 2, 10, and 11 is a(n)
triangle.
Answers
Answer:
true
Step-by-step explanation:
it says that it is a triangle.
hope this helped!
Find the 13th term of the geometric sequence 4, −8, 16, ...
Answers
Answer:
Step-by-step explanation:
An architect creates a blueprint using a scale of 1 inch = 3.5 ft. If the actual
length of a patio is 21 feet, how long will the patio's length appear in the
blueprint?
O 6 inches
O 7 inches
O 17.5 inches
O 73.5 inches
Answers
6 inches will be the length of the patio.
According to the scale, 1 inch on the plan corresponds to 3.5 feet in real life.
We must convert the patio's real length of 21 feet to inches using the scale in order to determine how long it would look on the blueprint:
3.5 feet to one inch
21 feet in x inches
If we cross-multiply, we obtain:
1 inch/3.5 feet * 21 feet
= x inches
= 6 inches.
As a result, the length of the patio will be indicated on the blueprint as 6 inches.
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The measures of the angles of △ABC are given by the expressions in the table.
Answers
The angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.
Define triangles.A triangle is a closed geometric shape with three sides, three angles, and three line segments. Three non-collinear points are joined by line segments to create the simplest polygon, which has three non-collinear points.
Triangles can be categorized according to the size of their sides and angles. Triangles can be categorized as equilateral (all sides are equal in length), isosceles (both sides are equal in length), or scalene based on their sides (all sides are different in length). Triangles can be categorized as acute (all angles are less than 90 degrees), obtuse (one angle is greater than 90 degrees), or right (one angle is greater than 90 degrees) (one angle is exactly 90 degrees).
In any triangle, the sum of the three interior angles is always 180 degrees. Therefore, we can write:
a + b + c = 180
Substituting the given values, we get:
(6x-1) + 20 + (x+14) = 180
Simplifying and solving for x, we get:
7x + 33 = 180
7x = 147
x = 21
Now that we have the value of x, we can substitute it back into the expressions for the angles to find their values:
angle a = (6x-1) = (6*21-1) = 125 degrees
angle b = 20 degrees
angle c = (x+14) = (21+14) = 35 degrees
Therefore, the angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.
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How much would you need to deposit in an account now in order to have $2000 in the account in 5 years? Assume the account earns 5% interest compounded monthly.
Answers
I need to deposit $1558.41 to have $2000 in the account in 5 years.
What is compound interest?
The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.
∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ (∵ for monthly interest)
P = Principal
r = rate of interest per month
n = number of months
Given:
r = 5% per month
n = 5 years = 5*12 = 60 months
CI = P (1+5/(12 * 100))⁶⁰
2000 = P(1.0041)⁶⁰
2000 = P(1.2834)
P = 1558.41
Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.
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On a piece of paper, graph y<-3/4x+2. Then determine which answer choice
matches the graph you drew.
Answers
The graph of the linear inequality is given by the image presented at the end of the answer.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The function for this problem is given as follows:
y = -3x/4 + 2.
Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.
The inequality is given as follows:
y < -3x/4 + 2.
Meaning that points below the dashed line are the solution to the inequality.
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Can someone please hope and show the work?
Answers
Answer: 16 pounds of grain.
Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.
(let me know if you would like me to explain more on this)
Solve the system of equations.
A. (2, 6)
b. (6, 2)
c. (6.8, -1.2)
d. (-1.2, 6.8)
Answers
Whats the difference between the lowest temperature -8 and the highest 7
Answers
Answer:
-15
Step-by-step explanation:
8+7=15
so
-8-7 = -15
Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4
Answers
The required probability is 3 √7 / 32.
Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.
Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7
The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is: P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.
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kindly check if it’s correct and correct those that are wrong. thank you! as well as calculations
The following information is known for the month of December:
1. Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,900.
2. No insurance payments are made in December. Insurance expired in December is $1,400.
3. November salaries payable of $9,800 were paid to employees in December. Additional salaries for December owed at the end of
the year are $14,800.
View transaction list
4. On December 1, Golden Eagle received $2,700 from a customer for rent for the period December through February. By the end of
December, one month of rent has been provided.
Required:
For each item, (a) record any transaction during the month of December, and (b) prepare the related December 31 year-end adjusting
entry. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.)
no random answers ty!
Answers
Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.
What is Journal Entry?
The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.
This question is related to the account and finance subject.
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What is the range of f(x) = sin(x)?
the set of all real numbers -2pi≤y≤2pi
the set of all real numbers -1≤y≤1
the set of all real numbers 0≤y≤2pi
the set of all real numbers
Answers
Answer:
the set of all real numbers -1≤y≤1
Step-by-step explanation:
according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.
A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
Answers
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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3y+z=am-4y look for y
Answers
The value of y is am-z/7
How to calculate the value of y ?The expression is given as follows
3y +z= am-4y
The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side
3y + 4y= am-z
y(3+4)= am -z
7y= am-z
Divide both sides by the coefficient of y which is 7
7y/7= am-z/7
y= am-z/7
Hence the value of y in the expression is am-z/7
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The accompanying data are from the article "Characteristics of Buyers of Hybrid Honda Civic IMA: Preferences, Decision Process, Vehicle Ownership, and Willingness-to-Pay" (Institute for Environmental Decisions, November 2006). Each of 306 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or not.Suppose one of these 306 individuals is to be selected at random.a. Find the following probabilities:i. P(male)ii. P(hybrid)iii. P(hybrid|male)iv. P(hybrid|female)v. P(female|hybrid)b. For each of the probabilities calculated in Part (a), write a sentence interpreting the probability. c. Are the probabilities P(hybrid|male) and P(male|hybrid) equal? If not, write a sentence or two explaining the difference between these two probabilities.
Answers
The probabilities are
i. P(male) ≈ 0.503
ii. P(hybrid) ≈ 0.324
iii. P(hybrid|male) ≈ 0.208
iv. P(hybrid|female) ≈ 0.441
v. P(female|hybrid) ≈ 0.677
P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.
What is probability?
Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.
a.
i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503
ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324
iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208
iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441
v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677
b.
i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.
ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.
iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.
iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.
v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.
c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.
Hence, the probabilities are
i. P(male) ≈ 0.503
ii. P(hybrid) ≈ 0.324
iii. P(hybrid|male) ≈ 0.208
iv. P(hybrid|female) ≈ 0.441
v. P(female|hybrid) ≈ 0.677
P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.
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a + b = c
a + b + c =36
Given that a and b have the same value, work out the values of a,b and c
Answers
Answer:
a=9
b=9
c=18
Step-by-step explanation:
c(a+b)+a+b=36
2a+2b=36
a+b=18
c=18
what's the inverse of f(x)=(x+3)^5
Answers
Answer:
The inverse is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x) = (x+3)^5
Finding the inverse,
\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)
We replace x with y and vice versa
so,
\(x = (y+3)^5\)
Solving for y,
the the 5th root,
\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)
hence the inverse function is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x)=(x+3)×5
Y=5X+15
now
interxchanging x and y we get,
x=5y+15
5y=x-15
y=x-15/5
therefor f~1(x)=x-15/5
Please help I was sick and missed out on class.Thank you
Answers
Answer:
Step-by-step explanation:
Pick 2 points then calculate the rise over run to get the slope.
Say (2,4) & (5,5)
The rise (y) value is +1. The run (x) is +3.
Putting the rise OVER the run gets you
1/3.
The slope is 1/3.
Please someone help!
this is adding polynomials.
h(x)+g(x)
h(x)=6x^2+4x^4+7x
Answers
\( {7x}^{4} + {12x}^{2} + 3x\)
4 ln(6x + 2) - 16 = 16
Answers
Answer:
8
Step-by-step explanation:
4 (6x + 2) - 16 = 16
= 64x + 8 - 16 = 16
= 64x + 8 = 16
=64x = 16 - 8
= x = 64 / 8
= x = 8 (ANS)
Which value for x makes the following equation true?
−2x−4=−6
Answers
Answer:
Step-by-step explanation:
−2x − 4 = −6
−2x − 4 + 4 = −6 + 4
−2x = −2
−2x/-2 = −2/-2
x = 1
The equation is,
→ -2x - 4 = -6
Let's solve for the value of x,
→ -2x - 4 = -6
→ -2x = -6 + 4
→ x = (-2)/(-2)
→ x = 2/2
→ [ x = 1 ]
Thus, the value of x is 1.
A thread was folded in half, and then it was folded again, forming a bundle. Then the thread was cut into pieces by a striaght cut through the enitre bundle. Ine of the pieces is 8 cm, and the longest piece is 18 cm. What is the longest possible length of the thread
Answers
The longest possible length of the thread is;
Length = 144 cm
Let the length of the thread be x cm.
Now, it is first folded in half. This means divided into 2. Thus, we now have length as x/2.
We are told it is folded again. This means the length after second folding is now; (x/2) ÷ 2 = x/4.We are told that there is now a straight cut through the entire bundle with one of the pieces being 8cm and the longer piece being 18 cm.This means the ratio is; 8:18
Since the new length after the final folding is x/4, then it means after cutting;longer length will be; \((\frac{18}{8 + 18})\) \(* (\frac{x}{4})\)
Thus, we now have;
18 = (18/26) × (x/4)
18 will cancel out to give; x = 26 × 4
x = 144 cm
Therefore the longest possible length of the thread = 144 cm
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I thought it was 144 but it is not
the circumference of a circle is
Answers
Answer:
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
Answer:
The circumference of a circle is pretty much just the perimeter of the circle Step-by-step explanation: