5,870,000,000,000 miles.
to find:The distance light travels in 100 years.
solution:The distance of the light travels in 100 years is:
5,870,000,000,000 × 100 miles.
= 587,000,000,000,000 miles
= 587 × 10^12 miles.
answer= option d
[tex]1 \: year = 5870000000000 \: miles[/tex]
To find:The distance which light can travel in 100 years.
Solution:to find the distance which light can travel in 100 years, multiply the distance which light can travel in 1 year (5,870,000,000,000 miles) by 100.
[tex] = 5870000000000 \times 100[/tex]
[tex] = 587000000000000 \: miles[/tex]
[tex] = 587 \times {10}^{12} [/tex]
Hence, the correct answer is option D
What do the following two equations represent?
y
=
−
2
3
x
+
11
y=−
3
2
x+11y, equals, minus, start fraction, 2, divided by, 3, end fraction, x, plus, 11
y
+
7
=
3
2
(
x
−
5
)
y+7=
2
3
(x−5)
Answer:
unclear sorry try 34
Step-by-step explanation:
try 34 hm
Answer:
perpendicular
Step-by-step explanation:
I got it right on khan
How many terms are in this polynomial?
What is the degree of the fourth term?
What is the coefficient of the second term?
What is the degree of the polynomial?
Answer:
4 terms
Degree of the 4th term = 5
Coefficient of the 2nd term = -6
Degree of the polynomial = 11
Step-by-step explanation:
Terms of polynomials: parts of the expression that are separated by the addition or subtraction operation.
Therefore, there are 4 terms in this polynomial.
If a term of the polynomial has more than one variable, then to calculate the degree of that term, add the powers of all the variables in the term.
Therefore, the degree of the fourth term is:
[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]
The coefficient is the constant. Therefore, the coefficient of the second term is -6
Degree of a polynomial: The greatest exponent of a variable in the polynomial equation.
As some of the terms in this polynomial have more than one variable, we must first calculate the degrees of the individual terms, and then select the greatest as the degree of the polynomial equation.
[tex]-2x^9 \implies \textsf{degree}=9[/tex]
[tex]-6x^2y^6 \implies \textsf{degree}=2+6=8[/tex]
[tex]9x^7y^4 \implies \textsf{degree}=7+4=11[/tex]
[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]
Therefore, the greatest degree is 11, so this is the degree of the polynomial.
#1
There are four terms
-2x⁹-6x²y⁶9x⁷y⁴-4/3x³y²#2
Degree of fourth term
3+25#3
Coefficient of -6x²y⁶
-6#4
Third term has highest degrees
7+4=11Degree of polynomial=11
Please please please please can someone help me with these four! giving brainly!
Answer:
area of rectangle 5 is 84.87
area of rectangle 6 is 27.71200
rectangle 7: perimeter is 64.64800 area is 104.96
rectangle 8: area is 32.69 perimeter is 36.15400
Note:
if i got any wrong im deeply sorry but good luck with this
________ is a measure of the ratio of process outputs to inputs.
A box of mints contains 20 mints. Allison and her family have already
eaten 8 mints. Allison puts the remaining mints on 2 dishes to serve to
visitors. She puts the same number of mints on each dish. How many
mints does Allison put on each dish?
Answer:
6+6=12 because they were 20-8=12 left and Allison puts 6 and 6 on the single dish
Answer:
6 mints
Step-by-step explanation:
after Alison eats 8 mints there's 12 remaining mints in the box . to distribute an equal amount of mints in two dishes, the number will be 12/2 that's equal 6 mints in each dish.
please help me i will give brainlyest to anyone who gets it correct!!!
Answer:
See below
Step-by-step explanation:
3x-429 + x/4 = 130 shows x = 172
QSN = 3x -429 = 87 degrees
HSX = 87 degrees
HSQ = 180 -87 = 93 degrees
XSN = x/4 = 43
PSN = 93 - 43 = 50
GRADES On her first four quizzes, Rachael has earned scores of 21, 24, 23, and 17 points. What score must Rachael
earn on her fifth and final quiz so that both the mean and median of her quiz scores is 21?
points
Question Progress
Homework Progress
25 / 58 Marks
爾
ह
55
Here is a pattern made from sticks:
1
a) How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?
Answer:
a) 32
b) 2 +5n
Step-by-step explanation:
Given the stick patterns shown, with 7, 12, 17 sticks, you want to know (a) the number of sticks in pattern 6, and (b) the number of sticks in pattern n.
SequenceThe numbers of sticks in the patterns shown are ...
7, 12, 17
The differences between these numbers are ...
12 -7 = 5
17 -12 = 5
That is, the first pattern has 7 and the common difference between patterns is 5. This indicates the sequence is arithmetic.
b) General termThe general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
an = 7 +5(n -1) = 7 +5n -5
an = 5n +2 . . . . . . sticks in pattern n
a) Sixth termThe term when n=6 is ...
a6 = 5·6 +2 = 32 . . . . . . sticks in pattern 6
__
Additional comment
We find it easier to determine sticks in pattern 6 by first determining the formula for pattern n.
<95141404393>
Find the equation of the line parallel to y = - 1/2x -5, that passes through the point (4, -3). Write your answer in slope intercept form.
Answer:
y = -1/2x - 1
Step-by-step explanation:
Hi there!
We are given the equation y = -1/2x - 5
We want to write an equation parallel to this line, that passes through the point (4, -3)
Parallel lines have the same slope
In y=-1/2x-5, the equation is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
-1/2 is in the place of where m is, therefore it is the slope of the line
It is also the slope of the new line that we want to create.
As we already know the slope of this new line, we can substitute it into our equation (y=mx+b):
y=-1/2x+b
Now we need to solve for b
As the equation passes through the point (4, -3), we can use its values to help solve for b
Substitute 4 as x and -3 as y:
-3 = -1/2(4)+b
Multiply
-3 = -2+b
Add 2 to both sides
-1 = b
Now substitute -1 as b into the equation
y = -1/2x -1
Hope this helps!
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A flat rate shipping box is in the shape of a rectangular prism. You estimate that the volume of the box is 350 cubic inches. You measure the box and find that it has a length of 10 inches, a width of 9 inches, and a height of 4.5 inches. Find the percent error. Round your answer to the nearest tenth of a percent.
Please help thank you!!!
I will add more points
Answer:
15.7%
Step-by-step explanation:
You can't add points once you have posted the question. For those who are interested 50 points is more than enough.
Remark
There are two ways of calculating % error. Chemistry uses one way. Most others use the second method. I have used the second method.
Measurements
L = 10 in
w = 9 in
h = 4.5 in
Estimated result
350 cubic cm
Solution
Find the volume from the measurements of the Prism
V = L * w * h
V = 10 * 9 * 4.5
V = 405 in^3
Percent Error
% error = 100 * (Calculated Value - Estimated value)/(Estimated Value)
% error = 100 * (405 - 350)/350
% error = 100 * ( 55) / 350
% error = 15.71
% error = 15.7 (rounded)
PLEASE HELP!! 100 points!
1. Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need to handle them separately.
(A)What is 0.47 expressed as a fraction in simplest form?
(B)What is 0.4¯7 expressed as a fraction in simplest form?
(C)What is 0.¯47 expressed as a fraction in simplest form?
The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.
How to convert a decimal to a fraction?Multiply by 100/100 and keep in the form without division.
A. (0.47)
0.47 x 100/100
= 47/100
B. (-0.47)
= -0.47 x 100/100
= -47/100
C. (0.--47)
A minus sign multiplied by another minus sign makes a positive sign
= 0.--47 ⇒ 0.47
= 47/100
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Calculate the perimeter of the shape below. Show ur work!
Answer: 88 ft
Step-by-step explanation:
There are 2 sides that are 26 ft (multiply 26 by 2 to get 52)
There are 2 sides that are 18 ft (multiply 18 by 2 to get 36)
Add 52 and 36 together to get 88. Don't forget to add the units so it reads 88 ft.
Need help on this please
Answer:
First Question is 20. Second one is 12 and the third one is 30.
Step-by-step explanation:
Hope this helps! :)
The point (3,-5) is reflected across the x axis. What are the
coordinates of this reflection?
The equation of x-axis is y=0.
Draw cordidate axis and you will find that taking image of coordinate (-3, 5) along y=0 is (-3, -5)…
Only sign of y changes then it becomes (-3, -5).
Mary has been put in charge of buying soft drinks and chips for a party. If the soft drinks total $25
and chips are $3.29 per bag, how many bags of chips can Mary buy if she wants to spend at most $100.
Answer:22
Step-by-step explanation: he has only $75 to spend on chips . 75/ 3.29
Please answer the question and explain
Step-by-step explanation:
follow through that diagram. l have divided it into 3 figures A, B and C
anyone knows how to do this, This would help so much
Answer:
$40,320 Ted has left.
Step-by-step explanation:
please help i’ll give points
Answer:
I dont know if this will help or not but
Step-by-step explanation:
Answer:
I don't know but I think c. I could be wrong so be careful.
A-attached earlobes a-unattached earlobes if a is the allele for having attached earlobes, what percentage of offspring will have attached earlobes? 25% 50% 75% 100%
The percentage of the offspring that will have atatched earlobes as the dominant trait, is: 50%.
What is a Dominant Trait?
A dominant trait surpresses a recessive trait, and expresses itself. The allele of a dominant trait is usally denoted using capital letters.
Given the following traits:
A - attached earlobes (dominant allele)
a - unattached earlobes (recessive allele)
A cross between Aa and aa is shown in the image attached below.
The offspring having attached earlobes = 2 Aa = 50%.
50% of the osspring will have attached earlobes.
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The average thickness of a chicken eggshell is 0.000356 m. Write an estimate for the average thickness of a chicken eggshell as a single digit times an integer power of 10. Show your work.
The average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
We're given that:
Average thickness of a chicken eggshell = 0.000356 m
We can rewrite it as:
[tex]0.000356 = \dfrac{356}{1000000} = \dfrac{3.56}{10000}= \dfrac{3.56}{10^4} = 3.56 \times 10^{-4}[/tex]
Since we need to write it as a single digit times an integer power of 10, therefore, we get:
[tex]3.56 \times 10^{-4} \approx 4 \times 10^{-4}[/tex]
Thus, the average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)
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what is the product of 5.06 and 2.1
Answer:
10.626
Step-by-step explanation:
There's multiple ways to go about it. See how
5.06 * 2.1 = (5 + 0.06)(2 + 0.1) = 5*2 + 0.06*2 + 5*0.1 + 0.06*0.1 =
= 10 + 0.12 + 0.5 + 0.006 = 10.626
Please notice how breaking up the product into smaller parts has let us make all the computations without too much hassle.
Answer:
The product is 10.626
Step-by-step explanation:
hope this helps
Please help. I will give brainiest.
(x^5y^2-x^3y^2+xy-1)-(x^5y^2-x^4y^2-x^3y^2-x^2y+xy-1)
Answer:
STEP 1:
((4•(x2))-(y2)) ((x2)+xy)÷ (((2•(x2))-7xy)+(3•(y2))) ÷ (23x5•y)
Equation at the end of step 1
(((x2)•y)-(x•(y2))) (8x+4y)
STEP 2 :
((4•(x2))-(y2)) ((x2)+xy) ÷ (((2•(x2))-7xy)+3y2) ÷ 23x5y
Equation at the end of step 2:
(((x2)•y)-(x•(y2))) (8x+4y)
STEP 3:
((4•(x2))-(y2)) - ((x2)+xy)÷ ((2x2-7xy)+3y2) ÷ 23x5y
Equation at the end of step 3:
(((x2)•y)-(x•(y2))) (8x+4y)
STEP 4:
x2 + xy
Simplify
8x + 4y
STEP 5:
Pulling out like terms 5.1 Pull out like factors :
x2 + xy = x • (x + y)
STEP 6:
Pulling out like terms 6.1 Pull out like factors :
8x + 4y = 4 • (2x + y)
Equation at the end of step 6:
((4•(x2))-(y2)) x•(x+y)÷ (2x2-7xy+3y2) ÷ 23x5y(((x2)•y)-(x•(y2))) 4•(2x+y)
STEP7:
x•(x+y)
Divide ———————— by 2x2-7xy+3y2
4•(2x+y)
Step-by-step explanation:
hope this helps if not let me know have a blessed day
What is the volume of a cylinder with base radius 3 and height 8?
Answer:
266.08
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi (3)^2 (8)
V = 72 pi
V = 72(3.14)
V is approximately 266.08
OR 72pi
write down the inequality for x that is shown on this line
Answer:
x < 5
Step-by-step explanation:
the open circle above 5 means that x cannot be equal to 5
the arrow points left indicating values of x are less than 5 , then
x < 5
The required inequality for the given line is x < 5.
Inequality shows relation between two expression which are not equal to each others.
According to the given line,
The value of x is less than 5, implies that x can be 5 to -∞
Also, at x = 5, there is an open circle, implies that,
The value of x can not be equal to 5.
So the inequality can be written as,
x<5
The inequality is x<5 for the given line.
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Find the value of -8 - 12 - (-20).
24
16
-40
0
Answer: 0
Step-by-step explanation:
Isaac is helping his mom build a tree house. Isaac is dividing the board shown below into 8 equal pieces. how long will each piece be?
Answer: x/8
Step-by-step explanation:
take the length of the board and divide it by 8
what is the exponential equation of (0,3) and (3,100)
HELP
Answer:
[tex]y=(\frac{\sqrt[3]{900}}{3})^x[/tex]
Step-by-step explanation:
(01.06 MC)
Graph with Q on x axis, P on y axis. Curve S rises from the origin and increases in both x and y dimensions. Line D1 decreases in both x and y dimensions. An arrow points from line D1 to line D2, which is identical in shape to line D1, but shifted one unit to the positive x direction. Dashed lines extend in the positive x direction from P1 and in the positive y direction from Q1, intersecting line S and line D1. Dashed lines extend in the positive x direction from P2 one unit in the positive y direction from P1 and in the positive y direction from Q2 one unit in the positive x direction from Q1, intersecting line S and line D2.
Creative Commons
The price (P) of designer jeans is affected by the supply (S) and the demand (D).
Which of these can cause an increase in the price of designer jeans? (5 points)
Group of answer choices
Increased demand and no change in supply
Decreased demand and increased supply
Increased supply alone
Decreased demand alone
Artificial Monopoly because as businesses join together to set prices that is called artificial monopoly, although the government does not allow businesses to come together to set prices equal because this is no market competition. Hope this helps
Which function is represented by the graph
Kaylee owns a small business selling clothing. She knows that in the last week 3
customers paid cash, 21 customers used a debit card, and 46 customers used a credit a
card.
Based on these results, express the probability that the next customer will pay with a
debit card a as a decimal to the nearest hundredth.
Answer:
0.3
Step-by-step explanation: