Answer:
10,000 universes with the smaller number of atoms would fit inside the larger universe
Step-by-step explanation:
The correct question is as follows;
Physicists estimate that there are between 10^78 and 10^82 atoms in the universe. How do these two numbers compare with one another? If the larger number is right, how many universes with the smaller number of atoms would fit inside the larger universe?
Solution
To find the amount of the smaller number of atoms that will fit into the larger, we simply divide
Thus, we have;
10^82/10^78 = 10^4 = 10,000
Estimates are used to give the approximated value of a quantity.
10000 of the smaller universe will fit in the larger universe.
The number of atoms is:
[tex]\mathbf{n_1 = 10^{78}}[/tex]
[tex]\mathbf{n_2 = 10^{82}}[/tex]
(a) The larger universe
By comparison,
[tex]\mathbf{10^{82} > 10^{78}}[/tex]
This means that: the atoms in the second universe are larger than the number of atoms in the first.
(b) The number of small universe in the large universe
This is calculated by dividing the number of atoms in the large universe by the small universe
So, we have:
[tex]\mathbf{n = \frac{n_2}{n_1}}[/tex]
[tex]\mathbf{n = \frac{10^{82} }{ 10^{78}}}[/tex]
Apply law of logarithm
[tex]\mathbf{n = 10^{82 - 78} }[/tex]
[tex]\mathbf{n = 10^{4} }[/tex]
[tex]\mathbf{n = 10000 }[/tex]
Hence, 10000 of the smaller universe will fit in the larger universe.
Read more about estimates at:
https://brainly.com/question/17226219
Solve for x. 5x−2(x+1)=1/4
Enter your answer as a fraction in simplest form.
Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ:(a + b)^2,(a – b)^2,(a - b)(a + b)
Answer:
because you have to distrubute the 2 to the letters inside the () or else youll get a diff answer thats wrong
Step-by-step explanation:
Solve 9/11 + 3/13 × 26/33 - (21/121÷ 71/111)
Answer:
0.72 or 0.72866953788 0.7 0.72866953788
The number A8 is a two-digit number with a digit A and units (ones) digit 8.
Similarly, 3B is a two-digit number with tens digit 3 and units digit B.
When A8 is multiplied by 3B, the result is the four digit number 0730. That is,
A8
x 3B
C730
If A, B, and C are each different digits from 0 to 9, determine the values of A.
B. and C.
Answer:
A = 7
B = 5
C = 2
Step-by-step explanation:
We are given;
A8 × 3B = C730
Now, by inspection, in multiplication of the above, the product of 8 and B must produce a number whose unit digit is 0.
Thus,the only two single digit numbers that can fit this description for B is either 5 or 0 since if they would yield a unit digit of 0 when multiplied by8.
Now, let's test 0.
If B is 0, it means the unit digit of C730 is 0 as wanted while the remaining product of A8 and 3 should yield C73. Now product of A8 and 3 would produce a number with a last digit of 4. But our last digit there in C73 is 3. Thus, it means B cannot be 0 but is 5.
Thus, it means 3B is 35.
Now, we are told that A, B and C could be any single digit number.
from 0 - 9.
Thus, the maximum value of A is 9.
Let's try to put 9 for A and multiply by 35.
If A is 9,then 98 × 35 = 3430
It means that the maximum value of C is 3.
Thus, C can either be 3 or less than 3. So, C is either 1, 2, or 3
Now, if C = 1, it means the C730 is now 1730.
Thus,A8 will be: 1730/35 = 49.43
This is a decimal and thus, it means C ≠ 1.
Now,if C = 2, it means the C730 is now 2730.
Thus,A8 will be: 2730/35 = 78
This is a whole number and thus, it means C = 2
Now,if C = 3, it means the C730 is now 3730.
Thus,A8 will be: 3730/35 = 106.57
This is a decimal and thus, it means C ≠ 3
Thus; A8 is 78 when C = 2
So, A = 7
67
Name
_Michael Goodger Lesson 4 Homework
1.Convert and write an equation with an exponent.
A. 2 meters to centimeters
2m = 200 cm
2 x 10 = 200
B. 108 centimeters to meters 108 cm = 1 m
1.08% 101=108
C. 2.49 meters to centimeters 2.49 m = 249
cm
2.49x 103= 249
D. 50 centimeters to meters 50 cm = 1 m
50x1=50
E 6.3 meters to centimeters 6.3 m = 63 cm
6.3x63=63
F 7 centimeters to meters Icm = _
m
In the space below, list the letters of the problems where smaller units are converted to larger units.
2. Convert using an equation with an exponent. Use your meter strip when it helps you.
a. 4 meters to millimeters
mm
b. 1.7 meters to millimeters
mm
1050 millimetorn
m =
m =
Answer:
Step-by-step explanation:
1)
A. 2 meters to centimeters
1 m = 100 cm
[tex]2 m = 2 \times 100 \\2 m = 200 cm = 2 \times 10^2[/tex]
B)108 centimeters to meters
100 cm =1 m
[tex]1 cm = \frac{1}{100} m \\108 cm = \frac{108}{100}=108 \times 10^{-2} m[/tex]
C)2.49 meters to centimeters
1 m = 100 cm
[tex]2.49 m = 2.49 \times 100 = \frac{249}{100} \times 100 = 249 cm[/tex]
D)50 centimeters to meters
100 cm = 1m
[tex]1 cm = \frac{1}{100} m \\50 cm = \frac{50}{100}= 5 \times 10^{-1} m[/tex]
E)6.3 meters to centimeters
1 m = 100 cm
[tex]6.3 m = 6.3 \times 100=\frac{63}{10} \times 100 = 630 cm[/tex]
F)7 centimeters to meters
100 cm = 1 m
[tex]1 cm = \frac{1}{100} m\\\\7 cm = \frac{7}{100} = 7 \times 10^{-2} m[/tex]
2)
a)4 meters to millimeters
1 m = 1000 mm
[tex]4 m = 4000 = 4 \times 10^3 mm[/tex]
b)1.7 meters to millimeters
1 m = 1000 mm
[tex]1.7 m = 1.7 \times 1000= \frac{17}{10} \times 1000=17 \times 10^2 mm[/tex]
Triangle ABC is shown on the coordinate plane below. The triangle is reflected across the y-axis and then translated 3 unit to the right to form triangle A’B’C’.
Answer: X- (6,8) Y- (9,8) Z-(6,4)
Step-by-step explanation:
Which values of a, b, and c represent the answer in simplest form?
StartFraction 5 Over 8 EndFraction divided by StartFraction 3 Over 8 EndFraction = a StartFraction b Over c EndFraction
A. a = 1, b = 3, c = 2
B. a = 1, b = 40, c = 24
C. a = 1, b = 16, c = 24
D. a = 1, b = 2, c = 3
Answer:
a
Step-by-step explanation:
i looked a the calculator
Answer:
trust me on this answer. It is D, a = 1, b = 2, c = 3
Step-by-step explanation:
Okay, so the problem is 5/8 divided by 3/8.
So, you find the reciprocal, which then is 5/8 x 8/3
Since there is an 8 is both the first denominator and the second numerator, you cross them out, which leaves you 5/3
So, 5 can go into 3, only 1 time.
5/3 = 3/3 + 2/3
So, 3/3 + 2/3 = 1 2/3
Therefore, D is the answer of choice.
If it's confusing, please leave questions below
How many days are in 5 years? Correct answer gets brainliest. 2 possible answers
Answer:
1826.21099
Step-by-step explanation:
Answer: 1825 days.
Step-by-step explanation: 365x5=1825
Please help
Trying to help daughter do virtual. And I stink in this stuff!
w(t) = 3t – 1; t = 5
what are the factors of
8c^2+ 10c – 7
Carlos purchased an antique chair for $56.
He later sold the chair for $68 to an antique
dealer. What was the percent markup of the
chair?
Answer:
about 22 percent
Step-by-step explanation:
Which point is a solution to yz 2x – 1
Answer:
A.
Step-by-step explanation:
when graphed, it is most close to (0,2) than the rest of these answers.
Which is equal to 0.63?
Answer:
63%
Step-by-step explanation:
A percentage is x/100. So 0.63 = x/100. So multiply by 100, and you'll get 63%.
Julie bought 3 tomatoes for a price of $0.60 each. Using the key, create a
model to represent how much Julie can expect to pay for the tomatoes.
Then write an equation that matches your model.
KEY
- 1 dollar
Answer:
y=.60x
Step-by-step explanation:
where y is the amount of money Julie can expect to pay
where x is the amount of tomatoes she is buying
i dont understand what the key means, but this would be the appropriate model for this problem
Can i get brainliest please?
Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of 39 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part: 0 / 60 of 6 Parts Complete Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure? It ▼(Choose one) appropriate to use the normal curve, since =np ▼(Choose one)10 and =n−1p ▼(Choose one) 10.
Answer:
Yes it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Step-by-step explanation:
From the question we are told that
The population proportion is p=0.4
The sample size is n = 39
The sample proportion is [tex]\^ p = 0.43[/tex]
Generally for normal approximation to be used
[tex]np > 10[/tex]
so np = 39 * 0.4 = 15.6 > 10
and [tex]n(1- p) > 10[/tex]
so n(1-p ) = 39(1-0.4) = 23.4 >10
Given that the both condition is meet it mean that it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Brooke paid $45 for a course on candle-making. She spent $106 for wax and supplies, but later she returned one $8 candle mold. How much money did Brooke spend?
Answer:
143 i think
Step-by-step explanation:
45+ 106= 151
151 - 8 = 143
Answer:
$143
Step-by-step explanation:
106+45= 151
151-8=143
YO I NEED SOME HALP WITH THIS
Answer this please?
Answer:
2
Step-by-step explanation:
you just divide 8 by 4 love:)
Kailey correctly graphed the opposite of –3.3 on the number line.
A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is at 3.3, and point D is at 3.9.
Answer:
C
Step-by-step explanation:
I hope this helps!
Answer:
c
Step-by-step explanation:
The following pieces of empirical evidence have been collected over the years: Historical trend data show an increase in temperature globally Levels of carbon dioxide gas are on the rise Levels of methane gas are on the rise Glacial ice is melting Antarctic and Artic sea ice is melting Which statement best explains the significance of this empirical evidence?
a
It provides a hypothesis for the climate of the past.
b
It provides data for science journals and textbooks.
c
It supports the scientific explanation for global warming.
d
It predicts future weather patterns.
Answer:
C. It supports the scientific explanation for global warming.
Explanation:
The listed pieces of empirical evidence support the scientific explanation for global warming. Global warming is the long-term heating of Earth's climate, and the increase in levels of carbon dioxide and methane is the reason why glacial ice in the Antarctic and Arctic sea is melting.
These pieces of evidence don't deal with the past of the future. They tell us what is going on right now. Based on them, we could make an assumption about what is going to happen in the future, but there are no predictions here.
Also, this data can be used for science journals and textbooks, but that purpose is not expressed here.
This leaves us with option C as the correct one.
Write as the sum and/or difference of logarithms. Express powers as factors \log _4\left(\sqrt{\frac{mn}{19}}\right). g
Answer:
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
Step-by-step explanation:
Let be [tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex], we transform this into an equivalent expression with sums and differences of logarithms by applying logarithm properties:
1) [tex]\log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] Given.
2) [tex]\log_{4}\left[\left(\frac{m\cdot n}{19} \right)^{0.5}\right][/tex] Definition of square root.
3) [tex]0.5\cdot \log_{4}\left(\frac{m\cdot n}{19} \right)[/tex] [tex]\log_{a} b^{c} = c\cdot \log_{a} b[/tex]
4) [tex]0.5\cdot (\log_{4}m\cdot n -\log_{4} 19)[/tex] [tex]\log_{a} \frac{b}{c} = \log_{a} b - \log_{a} c[/tex]
5) [tex]0.5\cdot \log_{4} m\cdot n -0.5\cdot \log_{4} 19[/tex] Distributive property.
6) [tex]0.5\cdot (\log_{4}m + \log_{4}n)-0.5\cdot \log_{4}19[/tex] [tex]\log_{a} b\cdot c = \log_{a}b +\log_{a} c[/tex]
7) [tex]0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex] Distributive property/Result.
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
Sort each set of triangle measurements into the appropriate category for number of possible triangles.
5°, 159, 160°
No Triangles
One Triangle
Many Triangles
45°, 45°, 90°
2, 8, 10
7, 24, 25
30°, 85°, 60°
Answer:
5
Step-by-step explanation:
Answer:
check picture for correct ones
Step-by-step explanation:
Norbert’s Nursery is having a sale. Flats of flowers are priced as marked, including tax. Jake buys 2 flats of petunias at $5.25, 3 flats of daisies at $7.65, and 1 flat of begonias at $8.40. If he pays with a $50 bill, how much change should Jake receive?
Answer:
I am a student. Jake should receive 8.15 dollars in change. Please pick me brainliest! I am new to this website and I wanna help.
Step-by-step explanation:
Simplify.
35+(−14)710
Enter your answer as fraction in simplest form by filling in the boxes.
$$
Answer:
1/2
Step-by-step explanation:
Paul is a married taxpayer and claims 2 withholding allowances. He earns $575 per week. He estimates that he will spend $50 each week in qualified expenses. If he participates in his employer's cafeteria plan and has the $50 per week deducted from his wages before taxes, how much will he save in one year of working in federal income and FICA taxes?
Answer:
i need help too
Step-by-step explanation:
...
Question Help When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 36 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 2 batteries do not meet specifications. A shipment contains 3000 batteries, and 3% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?
Answer:
The probability is [tex]P(X \le 2 ) = 0.9072[/tex]
The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) = 9.2\%[/tex] of the shipment , so many of the shipment are rejected
Step-by-step explanation:
From the question we are told that
The sample size is n = 36
The proportion that did not meet the requirement is [tex]p = 0.03[/tex]
Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as
[tex]P(X \le 2 ) = [ P(X = 0 ) + P(X = 1 ) + P(X = 0)][/tex]
=> [tex]P(X \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] + [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] + [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]][/tex]
Here C stands for Combination (so we will be making the combination function in our calculators )
So
=> [tex]P(X \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] + [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] + [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]][/tex]
=> [tex]P(X \le 2 ) = [ [1 * 1 * 0.3340 ] + [36* 0.03 *0.3444 ] + [630 * 0.0009 *(0.355 ]][/tex]
=>[tex]P(X \le 2 ) = 0.9072[/tex]
The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) = 9.2\%[/tex] of the shipment , so many of the shipment are rejected
What is the slope of the line passing through the points (1, -5) and (4, 1)?
O-2
O 2
O-
Help please
Answer:
m=2
Step-by-step explanation:
Use the slope formula to find the slope m .
Which steps can be used to verify that tan(w + Pi) = tan(w)? Rewrite tan(w + Pi) as tan(w) + tan(Pi). Then simplify the expression using tan(Pi) = 1. Rewrite tan(w + Pi) as tan(w) + tan(Pi). Then simplify the expression using tan(Pi) = 0. Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 1. Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.
Answer:
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0
Step-by-step explanation:
According to tangent sub identity
Tan(A+B) = TanA+TanB/1-tanAtanB
Applying this in question
Tan(w+Pi) = tan(w)+tan(pi)/1-tan(w)tan(pi)
According to trig identity, tan(pi) = 0
Substitute
Tan(w+Pi) = tan(w)+0/1-tan(w)(0)
Tan(w+Pi) = tan(w)/1
Tan(w+Pi) = tan(w) (proved!)
Hence the correct option is
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0
The given expression can be prove by using tangent sub-identity. In the solution we will use [tex]\tan (A+B)[/tex] sub-identity.
The correct option is Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.
Given:
The given expression is as follows,
[tex]\tan(w+\pi)=\tan(w)[/tex]
Write the tangent sub-identity.
[tex]\tan(A+B)=\dfrac{\tan A+\tan B}{1-\tan A\tan B}[/tex]
Now replace [tex]A[/tex] with [tex]w[/tex] and [tex]B[/tex] with [tex]\pi[/tex].
[tex]\tan(w+\pi)=\dfrac{\tan w+\tan \pi}{1-\tan w\tan \pi}[/tex]
Substitute 0 for [tex]\tan \pi[/tex].
[tex]\tan(w+\pi)=\dfrac{\tan w+0}{1-\tan w\times 0}\\\tan(w+\pi)=\tan w[/tex]
Thus, the correct option is Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.
Learn more about tangent sub-identity here:
https://brainly.com/question/1561928
if you solve A=bh/2 for h, which formula do you get
hurry please a will give 20 points too all you who answer this but make it fast Jiang counted that he had thrown 90 pitches in a baseball game. He actually had thrown 94 pitches.
Enter numbers into the boxes to write an expression for the percent error in Jiang's count.
Answer:
Approximately 96%
Step-by-step explanation:
90/94=45/47. 45/47 is approximately 96%
