Answers
9514 1404 393
Answer:
a) radius: 6 (m); mass: 22 (kg)
b) volume: 19 (m³)
c) d ≈ 2.8×10^3 kg/m³
Step-by-step explanation:
The order of magnitude is the exponent of 10 when the number is written in scientific notation.
a) radius: 1.6×10^6 m, so the order of magnitude is 6 when the units are meters.
mass: 4.8×10^22 kg, so the order of magnitude is 22 when the units are kg.
__
b) The volume is ...
V = (4/3)πr^3 ≈ 1.716×10^19 m^3, so the order of magnitude of the volume is 19 when the units are m^3.
__
c) The ratio of mass to volume is ...
d = (4.8×10^22)/(1.716×10^19) ≈ 2.8×10^(22-19) = 2.8×10^3 kg/m^3, so the order of magnitude is 3 when the units are kg/m^3.
Related Questions
Pls help extra points
Answers
Answer:
B
the middle one
Step-by-step explanation:
What is the solution to this equation?
325 + 12 = 39
Answers
Answer:
there is no solution to it as the equation isn't true (It doesn't make sense)
Step-by-step explanation:
Step-by-step explanation:
325 + 12 =
325 + 12 = 337
Answer: 337
So this means it isn´t 39
» How many thirds are in a whole slice of toast?
Answers
Answer:
There's going to be 3 thirds in one whole sandwich. Hope this helps
Step-by-step explanation:
Nancy bought a vase as wedding gift .The cost excluding vat was R250.How much must she pay with VAT inclusive
Answers
Step-by-step explanation:
VAT = 250*15%
VAT = 250*15/100
VAT = 37.5 therefore
total price add VAT =250+37.5
=287.5
order the numbers 0.3, 2/5, -0.85, 0.09, 3/4, 3/20 least to greatest
Answers
Answer:
-0.85, 0.09, 3/20, 0.3, 2/5, 3/4
Step-by-step explanation:
Turn all the fractions into decimals
2/5 -> .4
3/4 -> .75
3/20 -> .15
Then order them
-.85, 0.09, 0.15, 0.3, 0.4, 0.75
How do I find the range of this rational function, how do I do the steps in order to find it, please help!!!
Answers
Answer:
Range= (0,∞) and (-∞,0)
Step-by-step explanation:
Theres no real process to finding this out you just look at what type of function you have, your graph and your asymptote. We can see that the parts above the asymptote go up and towards ∞ and the part below goes down to -∞ but they can not cross 0
Answer:
(-infinity, -32/81] U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
Step-by-step explanation:
The range is all possible y values in a function.
We can find the inverse of the function to find the range.
[tex]y = \frac{8}{ {x}^{2} - 7x - 8 } [/tex]
Replace x with y
[tex]x = \frac{8}{ {y}^{2} - 7y - 8 } [/tex]
Write the LCD as two binomial,
[tex]x = \frac{8}{(y + 1)(y - 8)} [/tex]
Multiply both sides by both binomial
[tex]x(y + 1)(y - 8) = 8[/tex]
[tex](xy + x)(y - 8) = 8[/tex]
[tex]x {y}^{2} - 8yx + xy - 8x = 8[/tex]
[tex]xy {}^{2} - 8yx + xy = 8 + 8x[/tex]
[tex]y( {x}^{2} - 8x + x) = 8 + 8x[/tex]
[tex] \frac{8 + 8x}{ {x}^{2} - 7x } [/tex]
[tex] {x}^{2} - 7x = 0[/tex]
[tex] {x}^{2} - 7x + 12.25 = 12.25[/tex]
[tex](x - 3.5) {}^{2} = 12.25[/tex]
[tex](x - 3.5) = 3.5[/tex]
[tex]x = 3.5[/tex]
Plug that in to the function to find it range.
We get approximately
[tex] - \frac{35}{81} [/tex]
So this means a point on our function must include -35/81.
The vertical asymptote is 0 so our y cannot be zero but it goes infinitely up so our range is
(-infinity, -32/81]U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
Select the point that is a solution to the system of inequalities.
A- (2,6)
B- (0,8)
C-(-2,-4)
D-(4,2)
HELP PLEASE!!!!!
Answers
Explanation:
y < x^2 + 6
6 < 2^2 + 6
6 < 4 + 6
6 < 10 IT WORKS
y > x^2 - 4
6 > 2^2 - 4
6 > 4 - 4
6 > 0 IT WORKS
(Could I also get brainliest please?)
Answer:
its A
Step-by-step explanation:
How much is 24% of 78,000
Answers
Answer: 18,720
Step-by-step explanation:
Let's take this equation
78,000(n)
n will equal 0.24, since we are trying to find 24% of 78,000
78,000(0.24)
18,720
Answer:
18720
Step-by-step explanation:
24/100 × 78,000
=18720
Pls help me with this
Answers
hope this helps! sorry if i’m wrong:)
The central limit theorem
A. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the Student t distribution.
B. postulates that the sample mean is a consistent estimator of the population mean.
C. only holds in the presence of the law of large numbers.
D. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the standard normal distribution.
Answers
Answer:
Option D (States.......distribution) is the appropriate choice.
Step-by-step explanation:
The superposition principle says that perhaps the sample distribution better reflects the regular distribution.
Because this sample size or group grows, all observations appear identical although irrespective of that same population demographics or distributions.It shows everybody precisely how the measures are to be distributed if we take a friendly reminder from some kind of population group.The latter choices should not affect the situation involved. The reaction, then, is the right one.
Does anyone know the answer?
Answers
Step-by-step explanation:
Yes sure.
a. New value of painting=60/100×$550=$330
b. New value of vase=70/100×$395=$276.5
c. New value of clock=180/100×$1175=$2115
d. New value of chair=95/100×$745=$707.75
Rearrange the following times of the day from earliest to latest. 10:30am 04:25 10:45pm 22:15 4:15pm 16:05 4:30 am
Answers
Answer:
04:25 is the earliest because it is 4:25 am using 24 hour clock then, 4:30 am, 10:30a.m, 16:05 because 16:05 is the same as 4:05 pm , 4:15 pm, then 22:15 because in 24 hour clock is means 10:15 pm and the latest is 10:45pm
Find the volume in cubic inches
H-12 in.
L-8 in.
W-5in.
Answers
Answer:
480[tex]in^3[/tex]
Step-by-step explanation:
Volume of a Rectangular Prism = L x W x H
12 x 8 x 5 = 96 x 5 = 480
480 in^3
Evaporation and Transpiration
Terminology
- Evaporation - process by which liquid water
passes directly to the vapor phase
Transpiration - process by which liquid water
passes from liquid to vapor through plant
metabolism.
Answers
Answer:
well done
Step-by-step explanation:
A sociologist will conduct a two-sample tt-test for a difference in means to investigate whether there is a significant difference, on average, between the salaries of people with bachelorâs degrees and people with masterâs degrees. From a random sample of 32 people with a bachelorâs degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a masterâs degree, the average salary was $58,000 with a standard deviation of $4,000. With a null hypothesis of no difference in the means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means (masterâs degree minus bachelorâs degree)?
Answers
Answer:
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
3) D.f= n1+n2-2= 32+28-2= 58
Step-by-step explanation:
The null hypothesis is that there is no difference in population means (masterâs degree minus bachelorâs degree)
The claim is that there there is a difference in population means (masterâs degree minus bachelorâs degree)
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
Putting the values
Sp= 12,250,000( 31) + 16,000,000(27)/ 31+27
Sp= 379,750,000- 432,000,000/58
Sp= -52,250,000/58
Sp= -900,862.1
Now Putting the values in the t- test
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
t= 55,000- 58,000/ -900,862.1 √1/32+ 1/28)
t= -3000/ -233,120.21
t= 0.012868
3) D.f= n1+n2-2= 32+28-2= 58
for 2 tailed test the critical value of t is obtained by
t≥ t∝/2 ( d.f)=t≥ t0.025 (58)= ± 2.0017
4) Since the calculated value of t= 0.012868 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.0017 we conclude that H0 is true and accept the null hypothesis.
***** Help asap! *****
Answers
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
Answers
Answer:
29.71
Step-by-step explanation:
Continuous Compounding Formula = P x e^(r x t)
= 181.25 x e^(0.29710000000000003 x 7) = 1450.37
X^2/3 •5x =5x^5/3
Can someone explain how the exponent is 5/3?
Answers
HELP NEEDED PLSS
Given the following diagram, find the trigonometric ratios.
Leave answers as reduced fractions (improper fractions are fine).
B
sinA=
COSA =
Answers
Answer:
Sin A = 3/5
Cos A = 4/5
Step-by-step explanation:
To find trigonometric ratio, recall SOHCAHTOA.
Thus:
Reference angle = <A
Opposite side to <A = 6
Adjacent side = 8
Hypotenuse = AB = √(8² + 6²) = 10 (pythagorean theorem)
Therefore,
✔️Sin A = Opp/Hyp
Sin A = 6/10 = 3/5
✔️Cos A = Adj/Hyp
Cos A = 8/10 = 4/5
find the length of the unknown side
Answers
Answer:
20
Step-by-step explanation:
15^2 + b^2 = 25^2
When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he was 2.5 km away and at that moment was measured going 0.5 kpm (kilometers per minute). Later, 18 minutes after he started driving, he was 14.8 km from the hotel and at that moment was measured going 0.8 kpm.
A. Find the linearization at 7 minutes.
B. Find the linearization at 18 minutes.
C. Compute two approximations for Brian's distance from his hotel at 14 minutes, using the linearizations from parts a and b.
D. Which approximation do you think is better? Why?
Answers
Solution :
The formula for the linearization of a function [tex]$f(x)$[/tex] at a point [tex]$x$[/tex] = a is given as
[tex]$L(x)=f(a)+(x-a)f'(a)$[/tex]
Assuming the time is t and the distance travelled is [tex]$f(t)$[/tex], that makes the speed as [tex]$f'(t)$[/tex].
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ [tex]$L_7(t)=f(7)+(t-7)f'(7)$[/tex]
[tex]$=2.5+(t-7)0.5$[/tex]
[tex]$=2.5+0.5t-3.5$[/tex]
[tex]$=0.5t-1$[/tex]
B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ [tex]$L_{18}(t)=f(18)+(t-18)f'(18)$[/tex]
[tex]$=14.8+(t-18)0.8$[/tex]
[tex]$=14.8+0.8t-14.4$[/tex]
[tex]$=0.8t-0.4$[/tex]
C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get
[tex]$L_7(14)=0.5(14)-1.0$[/tex]
= 7 - 1
= 6 km
[tex]$L_{18}(14)=0.8(14)+0.4$[/tex]
= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
Tricia looked at a map of an amusement park that used the scale 1 inch = 1 meter. On the map the roller coaster was 5 inches from the ice cream stand. When Tricia gets off the roller coaster, how far will she have to walk to get to the ice cream stand?
A. 3 inches
B. 6 inches
C. 4 meters
D. 5 meters
Answers
Answer:
D = 5 meters
Step-by-step explanation:
1 inch = 1 meter
5 inch = 5 meter
Whatever you do to one side you do the same to the other.
There are 4 triangles and 16 squares.what is the simplest ratio of triangles to square
Answers
The ratio of triangles to squares is 4:16 unsimplified because there are 4 triangles and 16 squares. To simplify the ratio, think of it as a fraction:
4/16
The fraction can be simplified to 1/4, meaning that the simplest ratio is 1:4.
Each of three friends flips a coin 36 times.Angel records ”tails” 20 times,Santi records “tails” 17 times.Kataleya records “tails” 23 times. Find the relative frequency with which each friend records “tails” Which friend has a relative frequency that is closest to the theoretical probability of flipping “tails” 36 times?Explain.
Answers
Answer:
The one with 17
Step-by-step explanation:
Heads/tails=1/2 or 50%
20/36=56%
17/36=47%
20/36=64%
47% is closer to 50%
If x=7-4 √3 then find the value of (x+1/x)^2
Answers
Answer:
29.03703703
Step-by-step explanation:
7-4 √3 = 5.196152423
(5.196152423 + 0.19245009)^2
A child weighing 59 lb has a bad infection and is to be given Cefaclor.
The dosage is 15 mg per kg.
The drug will be delivered in an oral suspension with concentration 250 mg/5 mL.
How many mL will she receive?
Round to the nearest whole number.
You will need to convert her weight to kg, using 1 kg = 2.2 lb.
Answers
Answer:
Step-by-step explanation:
59:2,2=26,81
15*26,81:250=1,6086
Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grade the same set of 10 exams. The first instructor's grades have a variance of 58.9. The second instructor's grades have a variance of 84.8. Test the claim that the first instructor's variance is smaller. (In most colleges, it is desirable for the variances of exam grades to be nearly the same among instructors.) The level of significance is 10%. (Recall: that the larger of the 2 variances needs to be in the numerator as the test is 1-tailed to the right)
Answers
Answer:
Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
Step-by-step explanation:
1)Formulate the hypothesis that first variance is equal or greater than the second variance
H0: σ₁²≥σ₂² against the claim that the first instructor's variance is smaller
Ha: σ₁²< σ₂²
2) Test Statistic F= s₂²/s₁²
F= 84.8/ 58.9= 1.4397
3)Degrees of Freedom = n1-1= 10-1= 9 and n2 = 10-1= 9
4)Critical value at 10 % significance level= F(9,9)= 2.4403
5)Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
what is the expression for one-sixth of the sum of 7 and s plus the product of 2 and q
Answers
Answer:
= [tex]\frac{1}{6}[/tex] (7 + s) + ( 2 × q )
I'm pretty much sure that this is correct.
help me please :(*****
Answers
Answer:
54
dcutvihvihvtuutcigciyvihvihvo
Answer:
Step-by-step explanation:
Find the slope of the line.