Answers
Answer:
1.898×[tex]10^{27}[/tex]
2×[tex]10^{27}[/tex]
Step-by-step explanation:
so, there's what's called standard form in maths. this is where you're given a crazy-long chain of digits and are made to shorten that long number. the great thing about this kind of notation is that it makes reading large quantites easier (like super easy)
when dealing with standard form, the unit before the comma must always be from numbers one to nine, always!!!the digits before the comma must never be zero or anything above 9.99999... never!!! after placing your comma all you have to do is count the number of digits (or in this case, zeros) that number of digits after the comma then becomes the power your 10 is being raised to.it is crucial for you to remember that 10, otherwise your number won't be in it's standard formI hope you'll find this helpful
please correct any and all errors found :)
Related Questions
Samantha and Jeanie are each rolling a fair 6-sided die with the numbers 1 through 6. They are trying to see who can roll the most
number of odd numbers. Their rolls are shown in the given tables
Whose name experimental probability is closer to the theoretical probability of rolling an odd number
A.Samantha’s
B. Both Jeanie’s and Samantha’s experimental probability’s are very close to the theoretical probability
C. Jeanie’s
D. It can not be determined because there is not enough information
Answers
There are 3 odd numbers on the die so the theoretical probably of getting odd is 3/6 = 1/2
Samantha that rolled the die 4 times and got odd every time so her experimental probability was 4/4 = 1
Jeanie rolled the die 16 times and got 6 odds for an experimental probability of 6/16 = 3/8
3/8 is closer to 1/2
Answer: C. Jeanie’s
solve this following equations. 1.x-2/5-x-4/2=2
Answers
Answer: hii
There are no values of x
that make the equation true.
Step-by-step explanation:
No solution.
hopefully this helps you.
- Matthew
PLS PLS PLS PLS HELP ME I HAVE BEEN STUCK FOREVER!!!!
The sum of 3 consecutive integers is 96. Find the 3 integers. Show all work and label answer.
Answers
add 31+32+33 to get 96
x + 1 is the second number
x + 2 is the last number
so, the equation would be:
x + x + 1 + x + 2=96
add together the x’s and numbers to get:
3x + 3 = 96
minus 3 from both sides:
3x=93
divide both sides by 3:
x=31
so, the first number is 31, then 32, and 33
hope this helped!!
A dog eats 4 pounds of food per day. Write and evaluate an expression to find how many pounds of food does 10 dogs eat in 7 days.
15 pts and Brainiest for clearest ans.
Pls answer as soon as possible, but answer correctly and not for the points and be clear!
If there's a Tutor, pls answer.
Answers
So if you have 10 dogs you would multiply 10 by 4 to give you 40 which is how much they eat in one day.
Second you multiply 40 by 7 to 280 which is the amount fed over seven days.
10 x 4 = 40
40 x 7 = 280
I hope this helps:)
find a quadratic polynomial each with the given number as the sum and product of its zeros respectively
1/4 and 1
Answers
Answer:
The answer is 4x² – x – 4 = 0
Step-by-step explanation:
1st Method Given;Sum of zeroes = α + β = (-b)/a = 1/4Product of zeros = αβ = c/a = 1Where,
a = 4b = 1c = 4So, one quadratic polynomial satisfying is given condition is 4x² – x – 4 = 0
2nd MethodSum of zeroes = 1/4
Product of zeros = 1
Remember this formula
x² – (α + β)x + αβ
x² – 1/4x + 1
4x² – x – 4 = 0
Thus, The quadratic polynomial is
4x² – x – 4 = 0.
Prepare an amortization schedule for the first three months on a loan of $87,000 at 6% for 20 years.
Answers
Answer:
see attached
Step-by-step explanation:
An amortization schedule is conveniently prepared using a spreadsheet. It has the formula built in for computing the payment value.
__
The amount of the payment going to interest is the product of the outstanding balance and the monthly interest rate (=6%/12). In the attached, the amount of interest due is rounded to cents. The remaining amount of the payment reduces the outstanding balance.
The attachment shows the payment calculation and the amortization schedule for the first 5 payments.
Fill in the blank
The composite figure shown is made up of a cylinder and a
12 cm
4 cm
20 cm
Answers
Answer: cone
Step-by-step explanation:
The bottom figure is a cylinder. A cylinder is basically a rectangle wrapped around two circles.
The top figure is a cone. A cone’s net looks like a triangle with a curved base wrapped around a circle. If you don’t believe the top figure is a cone, think about what ice cream cones look like. The top figure is a cone.
Please help i will give brainliest to the right answer
Answers
Step-by-step explanation:
Jacinta is completely right while Tess made a mistake on the 3rd step.
she mistakenly plugged in the y value as X, and plugged in the X value as y.
so Tess is incorrect
Each hamburger patty is 1/8 pound. Drag the correct equation to each amount to show how many 1/8 pound hamburger patties can be made.
Answers
Answer:
For 3 pounds, 3 ÷ 1/8 = 54
For 7 pounds, 7 ÷ 1/8 = 56
A right triangle has one angle that measures 60°. What is the measure of the other acute angle?
Answers
Answer:
30°
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in any triangle is 180°. A right triangle has one angle that is 90°, so the sum of the remaining two acute angles is 180° -90° = 90°. That is, the acute angles in a right triangle are complementary.
__
The other acute angle is ...
90° -60° = 30°
8) A company sells small and large photo books. Each page of a small photo book costs
the same. The table below shows the relationship between the number of pages in a
small photo book and the total cost of the photo book.
Part A) What is the cost per page for a small photo book?
Small Photo Book
Number of Pages
Total Cost ($)
30
20
32
48
57
Answers
The cost per page is $1.5 and 38 pages of the book will cost $57
ProportionsData;
number of page = 20cost = $30To solve this question, we have to know the cost of one page of the book.
In the first scenario, 20 pages cost $30, let's find the cost of one page here.
[tex]20 page = \$30\\1 page = x\\x = \frac{30}{20}\\x = 1.5[/tex]
We can confirm our answer here by testing with the second scenario;
[tex]32 page = \$48\\1page = y\\y = \frac{48}{32} = 1.5[/tex]
Now can say that one page of the book cost $1.5, let's divide 57 by this to determine the number of pages
[tex]z = \frac{57}{1.5} \\z = 38[/tex]
From the calculations above, 38 pages of the book will cost $57.
Learn more on proportions here;
https://brainly.com/question/18437927
I need help or my grade is going to go to a f-
Answers
Answer:
1
Step-by-step explanation:
65.751 = 6 x 10 + 5 x 1 + 7 x 1/10 + 5 x 1/100 + 1 x 1/1,000
6 x 10 = 60
5 x 1 = 5
7 x 1/10 = 0.7
5 x 1/100 = 0.05
1 x 1/1000 = 0.001
60 + 5 + 0.7 + 0.05 + 0.001 = 65.751
. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you
purchase?” The results are shown in the line plot.
(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?
Answers
Answer:
We need the line plot in order to solve the questions.
Step-by-step explanation:
find the sum of the first 10 terms 125,50,20
Answers
Answer:
208.3
Step-by-step explanation:
Since the numbers are decreasing as multiples, its a geometric progression.
[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{20}{50}=\frac{2}{5}\\ S_{10}=\frac{125(1-(2/5)^{10} )}{1-(2/5)} \\=208.3[/tex]
Question 1a:
Compute the Laplace Transforms of
f(x) = { x² +2x +1 , x < 3
{ e⁻⁵ˣ , x ≥ 3
Answers
This is made easy if you know the Laplace transform pair
[tex]u(t - c) y(t - c) \mapsto e^{-cs} Y(s)[/tex]
where u(t) is the Heaviside step function and Y(s) is the Laplace transform of y(t).
We rewrite f, g, and h in terms of u :
[tex]f(x) = (x^2+2x+1) (u(x) - u(x-3)) + e^{-5x} u(x-3)[/tex]
[tex]g(x) = \sin(3x) (u(x-5) - u(x-10))[/tex]
[tex]h(x) = (u(x) - u(x-4)) + 2(u(x-4)-u(x-8)) + 3 (u(x-8)-u(x-16))[/tex]
and we also rearrange terms to get the right shift in argument:
[tex]f(x) = (x^2+2x+1) u(x) - ((x-3)^2+8(x-3)+16) u(x-3) + e^{-15} e^{-5(x-3)} u(x-3)[/tex]
[tex]g(x) = [\cos(15) \sin(3(x-5)) + \sin(15) \cos(3(x-5))] u(x-5) \\\\ ~~~~~~~~~~- [\cos(30) \sin(3(x-10)) + \sin(30) \cos(3(x-10))] u(x - 10)[/tex]
[tex]h(x) = u(x) + u(x-4) + u(x-8) - 3 u(x - 16)[/tex]
Now we can apply the known transform pair, along with
[tex]x^n \mapsto \dfrac{n!}{s^{n+1}}[/tex]
[tex]e^{ax} \mapsto \dfrac1{s-a}[/tex]
[tex]\sin(ax) \mapsto \dfrac{a}{s^2+a^2}[/tex]
[tex]\cos(ax) \mapsto \dfrac{s}{s^2+a^2}[/tex]
The transforms of f, g, and h are then
[tex]F(s) = e^{-s} \left(\dfrac2{s^3} + \dfrac2{s^2} + \dfrac1s\right) - e^{-3s} \left(\dfrac2{s^3} + \dfrac8{s^2} + \dfrac{16}s\right) + \dfrac{e^{-15} e^{-3s}}{s + 5} \\\\ = \boxed{e^{-s} \left(\dfrac2{s^3} + \dfrac2{s^2} + \dfrac1s\right) - e^{-3s} \left(\dfrac2{s^3} + \dfrac8{s^2} + \dfrac{16}s\right) + \dfrac{e^{-3(s+5)}}{s + 5}}[/tex]
[tex]G(s) = \dfrac{3\cos(15) e^{-5s}}{s^2+9} + \dfrac{s \sin(15) e^{-5s}}{s^2+9} - \dfrac{3\cos(30)e^{-10s}}{s^2+9} - \dfrac{s \sin(30) e^{-10s}}{s^2+9} \\\\ ~~~~~~~ = \dfrac{3(\cos(15)-\cos(30)) + s(\sin(15) - \sin(30))}{s^2+9} \\\\ ~~~~~~~ = \boxed{\dfrac{6\sin\left(\frac{45}2\right)\sin\left(\frac{15}2\right) - 2s \cos\left(\frac{45}2\right)\sin\left(\frac{15}2\right)}{s^2+9}}[/tex]
[tex]H(s) = \boxed{\dfrac{e^{-s} + e^{-4s} + e^{-8s} - 3 e^{-16s}}s}[/tex]
Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4
Answers
Answer:
[tex]\sf y=-\dfrac12x+2[/tex]
Step-by-step explanation:
y-intercept is when x = 0, so (0, 2)
x-intercept is when y = 0, so (4, 0)
[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12[/tex]
Slope-intercept form of linear equation: [tex]\sf y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
Given:
[tex]\sf m=-\dfrac12[/tex]b = 2[tex]\sf \implies y=-\dfrac12x+2[/tex]
what is the median mean mode and range of 1,3,5,8,10?
Answers
Answer: median: 5
mode: 5.4
Range: 9
Step-by-step explanation:
Median: middle of the numbers
Mode: Add them all together and divide by number of terms
Range: Most minus least
Jason and his three friends went bowling. They bowled all afternoon and each paid $3.25 per game. Jason had a coupon for one free game. Three of his friends paid $2.75 each to rent shoes. Using this information, Jason writes the expression 3.25\left(g-1\right)+2.75\left(3\right). What does Jason’s expression represent? the number of friends who bowled the number of friends who bowled the number of games Jason and his friends bowled the number of games Jason and his friends bowled the amount of money Jason saved using the coupon the amount of money Jason saved using the coupon the amount of money Jason and his friends spent that afternoon
Answers
The expression 3.25(g-1) + 2.75(3) by Jason and his friends is a linear expression
The number of friends who bowled is 3The number of games Jason and his friends bowled is gThe amount of money Jason saved using the coupon is 3.25 The amount of money Jason and his friends spent that afternoon is 3.25(g-1) + 2.75(3)How to interpret the expression?The expression is given as:
3.25(g-1) + 2.75(3)
The above expression means that:
-1 represents the coupon on one free game3.25 represents the amount paid per game2.75 represents the amount paid to rent a shoe3 represesents the number of shoes they rentRead more about linear expressions at:
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There are 8 ounces in a ½ pond. How many ounces are in 7¾ lbs
Answers
7 3/4 pounds contains 124 ounces
8 ounces = 0.5 pound
X ounces = 1 pound
X = 8 / 0.5 = 16 ounces
7 3/4 = 7.75
7.75 contains = 7.75 * 16
= 124 ounces
which graph represents the parabola with the equation y^2=-1/3x
Answers
Step-by-step explanation:
The graphs are not give but the graph looks like the above picture.
Rewrite each equation without absolute value for the given conditions. y=|x-3|+|x+2|-|x-5| if -2
Answers
The equation y = |x-3| + |x+2| - |x-5| is an absolute value equation
The equivalent equation of y = |x-3| + |x+2| - |x-5| if -2 < x < 3 is y = x
How to rewrite the absolute value equation?The equation is given as:
y = |x-3| + |x+2| - |x-5|
The condition is given as:
if -2 < x < 3
Split and solve each term of the absolute value equation.
|x-3| = -(x - 3) = 3 - x....... because x < 3
|x+2| = x + 2 because -2 < x
|x-5| = -(x - 5) = 5 - x....... because x < 5
So, we have:
y = |x-3| + |x+2| - |x-5|
This gives
y = (3 - x) + (x + 2) - (5 - x)
Open the brackets
y = 3 - x + x + 2 - 5 + x
Evaluate the like terms
y = x
Hence, the equivalent equation of y = |x-3| + |x+2| - |x-5| if -2 < x < 3 is y = x
Read more about absolute value equations at:
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Resulting set please help !!!!
Answers
The union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
What is ordered pair?The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.
In an order pair, the first term indicates the x-coordinate, while the second term indicate the y coordinates. The ordered pair are written in close bracket in the following way.
[tex](x,y)[/tex]
The given set is U(a,e,i,o,u), in which,
[tex]X=(a,i,o)\\Y=(o,e,u)\\Z=(i,o,u)[/tex]
[tex]X\cup Y[/tex]For the union, write all the terms of X and Y set.
[tex]X\cup Y=(a,e,i,o,u)[/tex]
[tex]X\cap Z[/tex]For the intersection, write all the common terms of X and Z set.
[tex]X\cap Z=(i,o)[/tex]
[tex]X\cap Y\cap Z[/tex]For the intersection, write all the common terms of X , Y and Z set.
[tex]X\cap Y\cap Z=(o)[/tex]
Hence, the union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
Learn more about the ordered pair here;
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An ice cream store sells 2 drinks, in 4 sizes, and 6 flavors. In how many ways can a customer order a drink?
There are
ways that the customer can order a drink.
Answers
Answer:
Step-by-step explanation:
Drinks:
number of drinks - 2Number of sizes - 4Number of choices - 4 * 2 = 8Answer: 8
Pleasez help i have to complete this by the end of the 10 min
Answers
Answer:
Step-by-step explanation:
red shirt: 10%
green shirt: 20%
not choosing white 10%
not chosing black 20%
where orange shirt???
PLEASE HELP ME
Directions: Construct a frequency distribution with six intervals for the given data below. Then determine the following: (10 points) a. Range b. Class size c. interval with highest frequency
Number of kilograms of rice consumed by 30 families in a month
60 33 21 57 24 54 52 50 42 60 20 39 23 42 29 46 40 25 38 35 43 35 38 38 28 58 20
Answers
The frequency distribution table shows the distribution of the rice consumed by the families
The range is 40The class width is 7The interval with the highest frequency is 34 - 40How to construct the frequency table?From the question, we have the interval to be:
Interval = 6
Start by calculating the range
Range = Highest - Least
This gives
Range = 60 - 20
Range = 40
Calculate the class width
Width = Range/Interval
This gives
Width = 40/6
Width = 7
So, the classes are: 20 - 26, 27 - 33, 34 - 40, 41 - 47, 48 - 54 and 55 - 61
Using the above classes, we have the following frequency distribution table.
Class Frequency
20 - 26 6
27 - 33 3
34 - 40 7
41 - 47 4
48 - 54 3
55 - 61 4
From the above Frequency Distribution Table, the interval with the highest frequency is 34 - 40
Read more about Frequency Distribution Table at:
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A pet store has 11 puppies, including 5 poodles, 3 terriers, and 3 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find the probability that Aaron selects a retriever, given that Rebecka selects a poodle.
Answers
Answer: 0.2066
Step-by-step explanation:
Probability of Rebecka selecting a poodle = 5/11
Probability of Aaron selecting a poodle = 5/11
Both select one puppy at random with replacement, so their choices are independent.
Thus, probability that both select a poodle = [tex](5/11)\times(5/11)[/tex]
[tex]= 25/121 \approx 0.2066 \ $or 20.66\%[/tex]
The radius of the circle with a central angle of 138° that intercepts an arc with length 9 miles is miles?
Answers
Step-by-step explanation:
\begin{gathered}x^2 + y^2 + 17 = 138\\x^2 + y^2 = 138 - 17\\x^2 + y^2 = 121\\x^2 + y^2 = 11^2\\Radius = 11\end{gathered}
x
2
+y
2
+17=138
x
2
+y
2
=138−17
x
2
+y
2
=121
x
2
+y
2
=11
2
Radius=11
State six ordered pairs for this function
f(x)=.5x+3
Answers
(0,3) - The y-int, after you can just add 5 to the y-coord for each added 1 to the x-coord.
(1,8)
(2,13)
(3,18)
(4,23)
(5,28)
Help me please. Again?
Answers
Answer:
See attached image.
Step-by-step explanation:
Can someone help me plssss!!!
The dimensions of a right rectangular prism are shown below.
How many cubes with side lengths of 1 over 6 inch are needed to fill the prism without gaps or overlaps?
show the work pls.
Answers
Answer:
a.
Step-by-step explanation:
open chormecanvis and draw little cubes on the side of the prisum, thats wahat i did