How do I evaluate:
(-1000)1/3
Answers
9514 1404 393
Answer:
-10
Step-by-step explanation:
The first step is to write what you mean. We think you mean (-1000)^(1/3).
If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...
-1000 = (-10)^3
Then your expression is ...
(-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10
__
Some calculators can evaluate this for you (see attached).
Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:
(-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10
_____
Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.
Related Questions
Mr. Hayes opened an account with a deposit of $3,500
1)The account earned compound interest
2) He did not make any additional deposits or
withdrawals
3)At the end of 5 years his balance was
$4,097.01
What is the annual interest rate on this account?
A) 2.8%
D) 44%
B) 32%
E) 51%
C 37%
F) None of the above
Answers
9514 1404 393
Answer:
B) 3.2%
Step-by-step explanation:
The future value is given by ...
A = P(1 +r)^t
Filling in the given information, we can solve for r.
4097.01 = 3500(1 +r)^5
4097.01/3500 = (1 +r)^5 . . . . divide by 3500
(4097.01/3500)^(1/5) = 1 +r . . . . take the 5th root
(4087.01/3500)^(1/5) -1 = r ≈ 0.032 = 3.2%
The annual interest rate on this account is 3.2%.
If the mangos cost $20 per 10. how much did I spend on mangos
Answers
Halla el MCM de 42 y 70.
Answers
Answer:
mcm= 210
Step-by-step explanation:
We decompose into its prime factors
42- 70 | 2
21 - 35 | 3
7 - 35 | 5
7 - 7 | 7
1 - 1
mcm= 210
Greetings!
A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches. Determine the height
Answers
Answer:
so lets get the cones volume first the formula for a cone is V=πr2/3
so V=πr2h
3=π·22·3
3≈12.56637
and then the height of the cylinder is 4
Step-by-step explanation:
The blank Freshmen Team scored a total of 78 points in a game against the blank(2). Blank made a total of 31 two-point and three-point baskets. How many two-point baskets did the blank make? How many three-point baskets did blank make?
Answers
Answer:5.3
Step-by-step explanation: you multiply 31 by 2 then you subtract the product of 31×2 from 78 then you divide that by three
Part 2 of this question is..
What is Linda's Variation among all 10 days? We found the answer is 20 minutes but how do I show the work?
Answers
Answer:
20
Step-by-step explanation:
Find the midpoint of the segment with endpoints of (1,-6) and (-3, 4) and
enter its coordinates as an ordered pair. If necessary, express coordinates as
fractions, using the slash mark ( / ) for the fraction bar.
Answers
Answer:
Mid point = (–1 , –1)
Step-by-step explanation:
From the question given above, the following data were obtained:
(1, –6)
(–3, 4)
x₁ = 1
x₂ = –3
y₁ = –6
y₂ = 4
Mid point = (X, Y)
X = (x₁ + x₂)/2
X = (1 + –3)/2
X = (1 – 3)/2
X = –2/2
X = –1
Y = (y₁ + y₂)/2
Y = (–6 + 4)/2
Y = –2/2
Y = –1
Mid point = (X, Y)
Mid point = (–1 , –1)
In 1906, Colombia experienced an intense earthquake with a magnitude of 8.8 on the Richter scale. In 1995, Egypt experienced an earthquake that measured 7.3 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answers
Answer:
The intensity of the 1906 earthquake was about 32 times the intensity of the 1995 earthquake.
Step-by-step explanation:
The earthquake with a magnitude of 8.8 is 178 times stronger than the earthquake that measured 7.3.
What is logarithm?A logarithm is the power to which a number must be raised in order to get some other number.
Given that, there are two earthquakes of magnitude 8.8 and 7.3
The energy released is given by:
[tex]log_{10} E = 4.4+1.5M[/tex]
For 8.8
E1 = 3.981071705534X10^17
For 7.3
E2 = 2.238721138568X10^15
E1/E2 = 3.981071705534X10^17/2.238721138568X10^15 ≈ 178
Hence, The earthquake with a magnitude of 8.8 is 178 times stronger than the earthquake that measured 7.3.
For more references on logarithm, click;
https://brainly.com/question/28346542
#SPJ2
I need help with my work! Pls, help!
Answers
Answer:
How many potatoes has he already pealed and what rate is he moving at
Step-by-step explanation:
what is 10% of 100,
000
Answers
Answer:
10,000
Step-by-step explanation:
help me...............
Answers
Answer:
1. Hundredths
2. Thousandths
3. Tenths
1.Hundreths
2.Thousandths
3.tenths
URGENT PLEASE HELP !!!
Answers
Answer:
36
Step-by-step explanation:
AB=AC+BE
AB=10+26
AB=36
what is the value of the digit 8 in the number 78000? please no links
Answers
Answer:
The value of eight in the number 78000 is 8000.
Step-by-step explanation:
70,000+8,000=78,000
Need help ASAP!!!!!!!
Answers
Answer:
4) 90-37 = 53°
5) Supplementary
6) 90-62 = 28°
Answer:
4. 53 degrees
5. Supplementary angles
6. 28 degrees
Step-by-step explanation:
4. Complementary angles equal 90 degrees. 90-37=53
6. Both are complementary angles. 90-62=28
find the volume of a rectangular prism with a base area of 13 ft.² and a height Of 7 feet
Answers
Answer: 91 ft
V = b x h
V = 13 x 7
V = 91
What is the slope of the line that passes through the points (-5, -7)(−5,−7) and (4, -1) (4,−1)
Answers
Answer:
2/3
Step-by-step explanation:
REmember that the slope of a line is y/x. To find this, we must use the formula:
y2-y1/x2-x1=y/x
So this is -1 - -7/4- -5. The -1 -- 7 is actually -1+7. This is 6, meaning y equals 6.
The x is 4 - - 5 is actually 4+5. This is 9, meaning x is equal to 9.
We can now write this as y/x. This would be 6/9.
Once we simplfy this, we get 2/3.
Answer:
2/3
y = 4x + 8 when x = 3y
Answers
Answer:
-8/11
Step-by-step explanation:
what are you trying to isolate
Drag the tiles to the correct boxes to complete the pairs.
A team of 10 players is to be selected from a class of 6 girls and 7 boys. Match each scenario to its probability
Answers
Answer:
Step-by-step explanation:
Answer:
The answers were correct
Step-by-step explanation:
How do you know if a number is rational irrational or not real number
Answers
Answer:
A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.
Step-by-step explanation:
I hope this helped you!
PLEASE HELP................................!
Answers
Answer:
-6 and -4 only
Step-by-step explanation:
Can you Please help due in LESS THAN 1 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
35, 5
Step-by-step explanation:
-47 + 35 = -12
35/7 minutes = 5
A line has a slope of -5 and includes the points (-1,r) and (-2,-2). What is the value of r?
Answers
Answer:
-7
Step-by-step explanation:
fill in the blank. principal: $300 Rate: 3% Time: 4 years Interest Earned: ? New Balance: ?
Answers
Answer:
300x.03 all divided by 4
Step-by-step explanation:
Find the equation of the circle with center at (3, -2) and radius of 3.
Answers
Formula to help you get the answer:
(x - h)² + (y - k)² = r²
hope this helps!
Solve the system: 10x-9y=8 21y+15x=0.5
PLEASEEEEEEEEE HELP NEED ASAPPPPP
WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
Answers
Answer:
x = 1/2 y = -1/3
Step-by-step explanation:
Split it into 2 equations:
10x-9y=8
and
21y+15x=0.5
10x - 9y = 8
Step 1: Divide both sides by 10:
x = (8+9y)/(10)
Substitute x = (8+9y)/(10) into 21y+15x=0.5 :
21y + (3(8+9))/(2) = 0.5
Solve for y
y= -1/3
Substitute y= -1/3 into x = (8+9y)/(10)
x = 1/2
Solve for x using
cross multiplication.
x =
3x
4
2x + 7
5
x = [?]
Answers
Answer:
1.8 + 0.75
Step-by-step explanation:
1.80
+0.75
= 2.55
I think. :)
Where does the graph of f(x) = (x + 9)(x - 4) cross the x-axis?
Answers
hi
f(x) = (x+9) (x-4)
if it's cross the x axis it's means f(x) = 0
(x+9) (x-4) = 0 means x+9 = 0 so x = -9 and x-4 = 0 so x = 4
answers f(x) = 0 for x = -9 and x = 4
Exam
AABC ~ AQRS
Find the missing side length, m.
B
10
m
А
6
9
m = [?]
Answers
Answer:
m = 15
Step-by-step explanation:
Since ∆ABC ~ ∆QRS, this implies that the ratio of their corresponding side lengths are equal. Thus:
QR/AB = QS/AC
QR = m
AB = 10
QS = 9
AC = 6
Plug in the values
m/10 = 9/6
m/10 = 3/2
Cross multiply
2*m = 3*10
2m = 30
m = 30/2
m = 15
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answers
Answer:
OPS and TSP,
QPS and PSR
Step-by-step explanation:
The alternate interior angles look like the picture provided below. Next time, don't clickbait with the wrong amount of points.
QPS is included but isn't one of the answers because they it's not a multiple choice question.
PLEASE HELP! CHOOSE ONE OF THE ANSWER CHOICES AND SHOW YOUR WORK. Don’t put a link as the answer.
Answers
Answer:B 4
Step-by-step explanation:
its asking which given expression is equivalent to 48 IF you do the correct math you should end up with 4 hope i helped