what does the e value of 6e 12 mean
The 'e' value of 6e12 means 6 x 10^12, which is equal to 6000000000000. It is a scientific notation used to represent a very large number.
The 'e' value of 6e12 is a scientific notation used to represent a very large number. 6e12 is shorthand for 6 x 10^12, which means 6 multiplied by 10 to the power of 12. To calculate the value of 6e12, first note that 10 to the power of 12 is equal to 1000000000000. Then, multiply 6 by 1000000000000 to get 6000000000000. Therefore, 6e12 is equal to 6000000000000. This notation is commonly used to represent very large numbers without having to write out all of the zeros. It is also useful when dealing with large numbers in scientific calculations.
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Edmond goes to the doctor for a check-up. When he gets home, he tells his mother that he weighs 1,360 ounces and is 62 inches tall. What is Edmond's height and weight in feet and pounds, respectively?
Answer:
113.3 pounds
5.17 ft
Step-by-step explanation:
Step one:
given data
weighs 1,360 ounces and is
Height = 62 inches tall.
Required:
We are expected to perform unit conversion
from ounces to pounds
and from inches to feet
Step two:
1 pound is 16 ounces
x pound is 1360 ounces
cross multiply
16x= 1360
x= 1360/16
x= 113.3 pounds
Step three
1 inches is 0.0833333ft
62 inches is x ft
cross multiply
x= 5.17 ft
4) Gus and Cal go bowling every week. Gus's scores are normally distributed with a mean of 175 pins and a standard deviation of 30 pins. Cal's scores are normally distributed with a mean of 150 pins and a standard deviation of 40 pins. Assume that their scores in any given game are independent. Let G be Gus's score in a random game, C be Cal's score in a random game, and D be the difference between Gus's and Cal's scores where D = G - C What is the probability that Gus will knock down more pins than Cal?
There is a 0.6915 = 69.15% probability that Gus will knock down more pins than Cal.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.When two variables are subtracted, we have that:
The mean is the subtraction of the means.The standard deviation is the square root of the sum of the variances.Hence the mean and the standard deviation for D are given as follows:
\(\mu = 175 - 150 = 25\).\(\sigma = \sqrt{30^2 + 40^2} = 50\)The probability that Gus will knock down more pins than Cal ia P(D > 0), which is one subtracted by the p-value of Z when X = 0, hence:
Z = (0 - 25)/50
Z = -0.5
Z = -0.5 has a p-value of 0.3085.
Hence:
1 - 0.3085 = 0.6915 = 69.15%.
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The following system of linear equations is shown in the graph.
y=1/4x+5
x-4y=4
How many solutions does the system of linear equations have?
A. No solution
B. Infinitely many solutions
C. One solution at (4,0)
D. One solution at (0,-1)
Answer:
Step-by-step explanation:
The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.
A. No solution
y = 1/4x+5
x - 4y = 4
You can simplify the second equation into y = 1/4x - 1
Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.
The answer
I don’t know how to do it
The values of a, b, c, and d, based on the given equation are:
\(a = 10\\b = 3\\c = -6\\d = -5\)
Let's calculate the values of a, b, c, and d based on the given table:
Using the equation \(y = x^2 - 4x - 2\), we can substitute the values of x and find the corresponding values of y:
For x = -3:
\(y = (-3)^2 - 4(-3) - 2 = 9 + 12 - 2 = 19\)
For x = -2:
\(y = (-2)^2 - 4(-2) - 2 = 4 + 8 - 2 = 10\)
For x = -1:
\(y = (-1)^2 - 4(-1) - 2 = 1 + 4 - 2 = 3\)
For x = 0:
\(y = (0)^2 - 4(0) - 2 = 0 - 0 - 2 = -2\)
For x = 1:
\(y = (1)^2 - 4(1) - 2 = 1 - 4 - 2 = -5\)
For x = 2:
\(y = (2)^2 - 4(2) - 2 = 4 - 8 - 2 = -6\)
For x = 3:
\(y = (3)^2 - 4(3) - 2 = 9 - 12 - 2 = -5\)
Now let's match these values with the table:
\(x , y = x^2 - 4x - 2\)
\(\[\begin{align*}(-3, 19) \\(-2, a) \\(-1, b) \\(0, -2) \\(1, -5) \\(2, c) \\(3, d) \\\end{align*}\]\)
From the given table, we have:
\(a = 10\\b = 3\\c = -6\\d = -5\)
Certainly! Here's a 100-word explanation of the given data:
The data provided consists of pairs of values, where the first column represents the x-values and the second column represents the y-values. Each row in the table corresponds to a data point. For instance, when x is \(-3\), the corresponding y-value is \(19\). Similarly, when x is \(-2\), the y-value is denoted as '\(a\)', and when \(x\) is -\(1\), the \(y\)-value is denoted as 'b'.
The pattern continues for the remaining data points, with specific values assigned to \(x \ and \ y\). This data set allows for the representation and analysis of relationships between the variables \(x \ and \ y\).
Therefore, the values of a, b, c, and d are:
\(a = 10\\b = 3\\c = -6\\d = -5\)
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Consider the wave packet: ψ(x)=[ 2πa 2
1
] 1/2
exp[− 4a 2
(x−⟨x⟩) 2
+i ℏ
px
]. Calculate the uncertainties ⟨Δx 2
⟩=⟨( x
^
−⟨x⟩) 2
⟩ and ⟨Δp 2
⟩=⟨( p
^
−⟨p⟩) 2
⟩, where ⟨ A
^
⟩ denotes the expectation value ⟨ψ∣ A
^
∣ψ⟩ of the observable A
^
on the state ∣ψ>.
The uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
To calculate the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ for the given wave packet, we need to find the expectation values of the observables (x^ - ⟨x⟩)^2 and (p^ - ⟨p⟩)^2, respectively.
The wave packet is represented by the function ψ(x) = [2πa^2]^(1/2) exp[-4a^2(x - ⟨x⟩)^2 + iℏpx]. Here, a is a constant, ⟨x⟩ represents the expectation value of x, and p is the momentum operator.
To find ⟨Δx^2⟩, we calculate the expectation value of (x^ - ⟨x⟩)^2 with respect to ψ(x). By integrating (x - ⟨x⟩)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δx^2⟩ = a^2/2.
Similarly, to find ⟨Δp^2⟩, we calculate the expectation value of (p^ - ⟨p⟩)^2 with respect to ψ(x). Since p is the momentum operator, its expectation value is ⟨p⟩ = 0 for the given wave packet. By integrating (p^ - 0)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
Therefore, the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).
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For each expression, write another division expression that has the same value and that can be used to help find the quotient.
Type your response in each box below.
1. 302.1÷0.5 ___
2. 12.15÷0.02 ___
3. 1.375÷0.11 ___
Another division expression that has the same value and can be used to determine the quotient are:
604.2 ÷ 1 121.5 ÷0.24.125 ÷ 0.33What are decimals?A decimal is a number that is made up of integers and non-integers. The integers and the non- integers are separated by a decimal point.
What does division mean?Division is the process of grouping into equal parts using another number. The sign used to denote division is ÷.
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subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of .5 inches. 20% of sandwiches are less than inches. (the cumulative standardized normal distribution table indicates a z value of -.84 for 20%) 11.500 11.42 10.58 cannot be determined from the information given
using standard z value, 20% of sandwiches are less than 10.58 inches.
In the given question,
Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches.
20% of sandwiches are less than...............inches.
The cumulative standardized normal distribution table indicates a z value of -0.84 for 20%.
From the question we know that
Mean(μ) = 11 inches
Standard Deviation(σ) = 0.5 inches
We have to find less than of 20% of sandwiches for z value of -0.84
P(ƶ<z) = 20%
We can write it as
P(ƶ<-0.84) = 20/100
P(ƶ<-0.84) = 0.20
Since z = -0.84
X-μ/σ = -0.84
Now putting the value
X-11/0.5 = -0.84
Multiply by 0.5 on both side
X-11/0.5 *0.5= -0.84*0.5
X-11= -0.42
Add 11 on both side
X-11+11= -0.42+11
X = 10.58
Hence, 20% of sandwiches are less than 10.58 inches.
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Right question is here
Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches. 20% of sandwiches are less than ................. inches. (The cumulative standardized normal distribution table indicates a z value of -.84 for 20%)
(a) 11.500
(b) 11.42
(c) 10.58
(d) cannot be determined from the information given
ILL GIVE YOU BRAINLIEST
Answer:
ITS A 100% B
15z-12
Step-by-step explanation:
When you add -17 to me the result is -22 what intger am I
Answer:
-5
Step-by-step explanation:
What is 1/root 2
Give me that ans asap
Answer:
1/√2
Approximate numerical value
1/√2 = 0.707106781186548
---------------------------
Rationalize the denominator
(1/√2) * (√2 / √2) = √2 / 2
Who scored the highest? On a final exam in a large class, Dylan's score was the thirty fifth percentile, Theodore's was the median, and Wyatt's was the third quartile. Of the three scores, _____ was the highest
Of the three scores, Theodore's score was the highest.
To determine the highest score among Dylan, Theodore, and Wyatt, we need to understand the percentiles and quartiles. Percentiles represent the position of a value within a distribution, while quartiles divide a distribution into four equal parts.
Given that Dylan's score was the 35th percentile, it means that 35% of the scores were below Dylan's score. Similarly, Theodore's score was the median, which represents the 50th percentile, indicating that 50% of the scores were below Theodore's score.
Wyatt's score was the third quartile, which is the 75th percentile, indicating that 75% of the scores were below Wyatt's score.
Since the median (Theodore's score) is higher than the 35th percentile (Dylan's score) and lower than the third quartile (Wyatt's score), it follows that Theodore's score is the highest among the three.
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Danika live 5 block from her chool. If he walk to and from chool 5 day each week how many block doe he walk in one week?
Danika walks 50 blocks in one week.
Multiplication is a mathematical operation that embodies the fundamental concept of repeated addition of the same integer. The multiplied numbers are known as the factors, and the outcome of the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to make repetitive adding of the same number easier. It is used for combining groups of identical size.
As per the data given,
We have,
Danika lives at 5 blocks from her school.
As Danika walks 5 blocks to and from school, making her round trip
So, total distance covered by Danika will be: 5 blocks + 5 blocks = 10 blocks.
As Danika walks to and from school 5 days a week,
Hence, she walks 10 blocks * 5 days = 50 blocks in one week.
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Write a two-column proof of Theorem 3.7 .
Theorem 3.7: [Insert specific theorem statement here]
Proof:
Column 1: Statements
1. [State the given or known information]
2. [State any definitions or previously proven theorems that are applicable]
3. [State any logical or algebraic manipulation steps]
Column 2: Reasons
1. Given
2. Definition of [insert term or concept]
3. [Justify each step using a valid reason, such as the transitive property, substitution property, or a previously proven theorem]
Please note that this is a general template, and the specific steps and reasons will vary depending on the theorem you are working on. Make sure to include all the necessary information and justifications to support your proof. If you provide me with the specific Theorem 3.7 you are referring to, I can help you create a more tailored proof.
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Why is math so hard :/ like wth
Answer:
ikr its harddddd
Step-by-step explanation:
Answer:
i like math but i can help u with urs if u send me a message thru brainly
thx 4 free points
plz give brainliest
The martinez family has a walkway around their swimming pool. the area of the walkway can
be described by the equation a(w) = 4w? + 100w, where w is the width of the walkway. the
total area of the walkway is 464 square feet.
what is the width of the walkway?
write your answer as an integer, a simplified proper or improper fraction, or a simplified
radical expression.
The width of the walkaway be 4 feet.
What is Discriminant Formula?
The discriminant formula is used to determine the nature of the roots of a quadratic equation. The discriminant of a quadratic equation\(ax^{2} +bx+c=0\) is D =\(b^{2} -4ac\)
If D > 0, then the equation has two real distinct roots.
If D = 0, then the equation has only one real root.
Given that: \(Area\; of \;walkway,\; a(w)\;= 4w^{2} + 100 w\)
also, area of walkaway = 464 square feet.
So, \(4w^{2} + 100 w =464\)
\(4w^{2} + 100 w -464=0\)
Using Discriminant method,
a=4, b=100, c=-464
\(w= \frac{-b\pm\sqrt{b^{2}-4ac} }{2a}\)
w= \(\frac{-100\pm\sqrt{(100)^{2}-4*4*(-464)} }{2*4}\)
w= \(\frac{-100\pm\sqrt{17424} }{8}\)
So, \(w_1= \frac{-100+\sqrt{17424} }{8} \;\;\;\; w_2= \frac{-100-\sqrt{17424} }{8}\)
\(w_1= \frac{-100+132 }{8} \;\;\;\; w_2= \frac{-100-132}{8}\)
\(w_1 = 4 \;\;\;\; and \;\;\; w_2= -29\)
Hence the width of the walkaway be 4 feet.
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Simplify the equation 3×5x
Answer:
15x
3×5x
3×5 =15
15*x
15x
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
Answer:
15x is the answer
Step-by-step explanation:
i know because i know
Ian went shopping for a new pair of sneakers because of a sale. The price on the tag was $45, but Ian paid $29.25 before tax. Find the percent discount.
The percent discount is 35%
Ian went shopping for a new pair of sneakers because of a sale.
The price on the tag was $45, but Ian paid $29.25 before tax.
We need to find the percent discount.
The discount amount is:
45 - 29.25 = 15.75
The percent discount would be,
(15.75/45) * 100 = 35%
Therefore, the percent discount is 35%
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Answer: 35%
Step-by-step explanation:
45 - 29.25 = 15.75
The percent discount would be,
(15.75/45) * 100 = 35%
That's why the answer is 35%
parametrize the portion of the cone z = 8x2 8y2 with 0 ≤ z ≤ 8 . (your instructors prefer angle bracket notation < > for vectors.)
The parametrize equation of the cone is r (u, u) = (u, v, 8 - u²- v²) for the interval 0 ≤ u²+ v² ≤ 4
What is parametrize equation?
A parametric equation in mathematics describes a collection of numbers as functions of one or more independent variables known as parameters.
As per question given that,
Cone z = √ (8x² + 8y²) with 0 ≤ z ≤ √8
Suppose that,
X = u, and Y = v
Then
r (u, v) = = (u, v, z) for 0 ≤ u²+ v² ≤ 4
r (u, v) = = (u, v, √ (8x² + 8y²)) for 0 ≤ u²+ v² ≤ 4
Thus
z = 8 - x² - y²
4 = 8 - x² - y²
x² + y² = 4
So, that r (u, u) = (u, v, 8 - u²- v²) for the interval 0 ≤ u²+ v² ≤ 4.
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Boris has a bag that only contains red sweets and green sweets. Boris takes at random 2 sweets from the bag. The probability that Boris takes exactly 1 red sweet from the bag is 12/35 Originally there were 3 red sweets in the bag. Work out how many green sweets there were originally in the bag.
The number of sweets there were originally in the bag is 18.
We are given that;
Number of sweets bags boris took=2
Number of bags originally=12/35
Now,
Let \($n$\) be the number of green sweets in the bag originally. Then the total number of sweets in the bag originally was \($n+3$\). The probability that Boris takes exactly 1 red sweet from the bag is equal to the probability that he takes a red sweet first and a green sweet second, or a green sweet first and a red sweet second. Using the formula for conditional probability, we have:
\(P(\text{exactly 1 red}) = P(\text{red first})P(\text{green second}|\text{red first}) + P(\text{green first})P(\text{red second}|\text{green first})\)
\($$= \frac{3}{n+3} \cdot \frac{n}{n+2} + \frac{n}{n+3} \cdot \frac{3}{n+2}$$$$= \frac{6n}{(n+3)(n+2)}$$\)
We are given that this probability is equal to \($\frac{12}{35}$\). So we can set up an equation and solve for \($n$:\)
\($$\frac{6n}{(n+3)(n+2)} = \frac{12}{35}$$$$\implies 35(6n) = 12(n+3)(n+2)$$$$\implies 210n = 12(n^2 + 5n + 6)$$$$\implies n^2 - 13n - 108 = 0$$\)
Using the quadratic formula, we get:
\($$n = \frac{-(-13) \pm \sqrt{(-13)^2 - 4(1)(-108)}}{2(1)}$$$$= \frac{13 \pm \sqrt{529}}{2}$$$$= \frac{13 \pm 23}{2}$$\)
We can reject the negative solution since n must be positive. So we get:
\($$n = \frac{13 + 23}{2} = 18$$\)
Therefore, by algebra the answer will be 18.
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Which of the following formulas is CORRECT for finding the present value of an investment
A) FV = PV/(1 + r)^n
B) PV = FV x (1 + r)n
C) PV = FVn x (1 + r)
D) PV = FV x 1/(1 + r)^n
The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.
The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).
Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.
In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.
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There are four candidates for homecoming queen and three for king. How many different king-queen combinatons are there
There will be 12 combination of different king-queen.
When grouping objects or figuring out how many subgroups can be created from a given collection of objects, combinations are employed. We also employ permutations to calculate the number of possible combinations of unrelated things.
To determine the number of different king-queen combinations, we need to multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king.
There are 4 candidates for queen and 3 candidates for king, so:
4 x 3 = 12
Therefore, the total number of different king-queen combinations is 4 multiplied by 3, which equals 12. So, there are 12 different king-queen combinations.
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o support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle.
At approximately what angle does the wire meet the ground?
33.6°
39.8°
50.2°
56.4°
WILL GIVE BRAINLIEST PLS HELP SOLVE
Answer:
The equation is:
y = -3x + 3
What can be concluded if ÐABC and ÐCBD are a linear pair? Select all statements that you think are correct.
If ÐABC and ÐCBD are a linear pair, then it means that their sum is 180°.
What is Linear pair of angles?Linear pair of angles are angles formed when two lines intersect each other at a single point.
Now, the angles are also said to be linear if they are adjacent to each other after the intersection of the two lines and the sum of the linear pair of angles is always equal to 180°.
Looking at the definition above we can say that if ÐABC and ÐCBD are a linear pair, then it means that their sum is 180°.
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Daniel's store sells basketball jerseys with the logos of each of the five local junior high teams. Daniel has 6000 jerseys in stock, divided among the five schools as shown. Complete the table to show how many of each school's jersey Daniel has in stock.
pls awnser its for a test
Answer:
2=3408493-=2=9
Step-by-step explanation:
plz help me i need help I can do it but don't have time to think
Step-by-step explanation:
3a + 2 = 8 ==> a=2
12 + 2 = c ==> c=14
3b + 2 = 2 ==> b=0
3d - e = 15
4d - e = 21
fd - e = 45
------------------
d=6
e=3
f=7
Hope to helpfull
write a quadratic function f whose zeros are 9 and 1.
Answer: y=(x-9)(x-1)
Step-by-step explanation:
if x= -2 what is the value of [x+x^2+x^3] - [x+2x+3x]?
Answer:
[-2+(-2)^2+(-2)^3]-[-2+2(-2)+3(-2)
+Step-by-step explanation:
[-2+4-8]-[-2-4-6]
[-10+4]-[-12]
-6+12=6
x equals ??????????