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
PLEASE HELP!!!!!!!!!!
The Expression
12
3+9
is what:
A: Sum
B. quotient
C. difference
Answers
Answer:
Sum
Step-by-step explanation:
It needs 2 be 20 characters so dont mind me . . .
wait hol up i took the test again sorry um it quotient
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!
What is the unit rate for the ratio 4/7: 8/21?
Answers
Answer:
The unit rate is 1.5
Step-by-step explanation:
Given
[tex]Ratio = 4/7 : 8/21[/tex]
Required
Determine the unit rate
To do this, we need to express the ratio as:
[tex]Ratio = m : 1[/tex]
Where m is the unit rate
[tex]Ratio = 4/7 : 8/21[/tex]
Express as fraction
[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]
Solve
[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]
[tex]Ratio = 1.5[/tex]
Express as ratio
[tex]Ratio = 1.5 : 1[/tex]
Hence, the unit rate is 1.5
Pls help 20 points !
Answers
Answer:
the answer is 168 is the answer
The value of X (click photo)
Answers
Answer:
20°
Step-by-step explanation:
;b
Answer:
x=40
Step-by-step explanation:
The measure of the angle <RTS is half the difference of the measures of the intercepted arcs (mRS and mQP).
<RTS=(1/2)(mQP-mRS)
(x/2)=(1/2)((x+70)-(x+30))
x=x+70-x-30
x=40
An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms
Answers
Answer:
The % of women above 50 having mammograms as devised from the survey is 70%.
Step-by-step explanation:
Given
60% of women older than age 50 have annual mammograms
Out of 1000 surveyed women of age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms
The % of women above 50 having mammograms as devised from the survey is 70%.
The circumference of a circle is 23 pi M what is the area in square meters express your answer in terms of pie
Answers
Answer:132.25π m²
Step-by-step explanation:The circumference of a circle is 23π
On the other hand, The circumference of a circle = 2×π×r ; where r is the radius. Then by equating the last two expressions we get: 23π = 2πr then r = 23/2 then the area = π × r² = (23/2)²×π = (132.25)×π
WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED
Answers
Answer: 8.6
Step-by-step explanation:
Using pythagorean theorem, c²=a²+b² you can find the distance between AB.
c²=7²+5²
c²=74
√c²=√74
c=8.6
Surface area formula
of a parallelogram prism
Answers
(X-1)(-5X+1)=0
lesser X=
Greater X=
Answers
Greater X= 1 (x-1)
Hope this helps!
Answer:
lesser x is -5x+1
Greater x is x-1
What is 0.0475 converted to a percentage
Answers
Answer:
0.0475 = 4.75%
Step-by-step explanation:
Answer:
4.75%
Step-by-step explanation:
Look at the decimal number 0.0475 as 0.0475 out of one. Furthermore, percent means per hundred. So the task is to convert 0.0475 out of one to 0.0475 out of one hundred.
The equation to solve the problem is displayed below where x is the 0.0475 as a percentage.
[tex]\frac{0.0475}{1}[/tex]=[tex]\frac{x}{100}[/tex]
We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 0.0475 as a percentage is: 4.75%
The first sequence rule is multiply by 2 starting from 7. The second sequence rule is add 2 starting from 8. What is the first number that appears in both sequences?
Question 3 options:
10
14
18
28
Answers
The first and the second sequence are arithmetic and geometric sequence, respectively
The first number in both sequences is 14
How to determine the first number?From the question, we have the following rules
Rule 1Start = 7
Multiply by 2
Rule 2Start = 8
Add = 2
So, the numbers in the sequence are:
Rule 1: 7, 14, 28, 56......
Rule 2: 8, 10, 12, 14, .....
By comparing the numbers in the sequence, we can see that the first number in both sequences is 14
Read more about sequence at:
https://brainly.com/question/6561461
A sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone users. The resulting data were used to conduct a hypothesis test to investigate whether there is a linear relationship between the number of contacts and the number of texts sent. What are the correct hypotheses for the test?
a. H0:β1=0 Ha:β1≠0
b. H0:β1=0 Ha:β1>0
c. H0:β1=0 Ha:β1<0
d. H0:β1≠0 Ha:β1=0
e. H0:b1=0 Ha:b1≠0
Answers
The correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
The correct hypotheses for testing the linear relationship between two variables can be stated as:
H0: β1 = 0 (there is no linear relationship between the number of contacts and the number of texts sent)
Ha: β1 ≠ 0 (there is a linear relationship between the number of contacts and the number of texts sent)
Therefore, the correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0
Learn more about statistics here:
https://brainly.com/question/15236063
#SPJ2
Please help, test due in 2 hours! Will give good review and brainliest. :)
Answers
Answer:
224in³
Step-by-step explanation:
Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.
Volume of rectangular prism= (length)(width)height)
=(14)(4)(10)=560in³
Volume of pyramid=((length)(width)height))/3
=((14)(4)(6))=336in³
560in³-336in³=224in³
What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.
Answers
Answer:
x = 40
Step-by-step explanation:
(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x
0.2x + 24 = 0.8x
0.2x - 0.2x + 24 = 0.8x - 0.2x
24 = 0.6x
0.6x = 24
0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]
x = 40
Answer:
x=40
Step-by-step explanation:
1/5x+24=8/10x
give like denominators
2/10x+24=8/10x
subtract 2/10x on both sides
24=6/10x
divide 24 by 6/10, or multiply by 10/6
x=240/6
refine/simplify
x=40
Which expression is equivalent to (6^-2)^3
Answers
6^6 is equal to 46656
Find the volume of the following figure using unit cubes.
Answers
Answer:
Volume : 94
Step-by-step explanation:
2(4 x 5) = 40
2(3 x 5) = 30
2(3 x 4) = 24
------------------
40 + 30 + 24 = 94
Solve the system of equations 2x - y = 13 and - 3x + 2y = - 18 by combining the equations .
Answers
Answer:
2X-Y = 13
-3X+2Y = -18
(2X-3X-Y+2Y) = 13-18
-X +Y= -5
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
AK
170%
B
-С
Answers
Answer:
10 degrees
Step-by-step explanation:
if it's supplementary then the two angles add up to get 180.
180-170=10
Sarah Turned on the soaker hose in her flower bed. The hose releases 192 gallons of water every 4 hours. If she leaves the hose on for 30 minutes how much water will be used?
Answers
Answer:
24 gallons
Step-by-step explanation:
set up a proportion and cross-multiply:
g = # gallons
192/4 = g/0.5*
4g = 96
g = 24
*30 minutes = 0.5 hours
A jewerler had a fixed amount of gold
Answers
Answer:
ohhhhh and who is the jeweler
Joseph is planning to meet up with his friend Naomi. Joseph jogs from his house traveling at a rate of 4
miles per hour. Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per
hour.
a) Show your solution graphically.
b) How many hours went by before they met?
hours
c) How many miles were they from Joseph's house when they met?
miles
30
25
Joseph
Answers
Answer:
It took 3 hours for the two to meet, and they were 12 miles from Joseph's home when they met.
Step-by-step explanation:
Since Joseph is planning to meet up with his friend Naomi, and Joseph jogs from his house traveling at a rate of 4 miles per hour, while Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per hour, for To determine how many hours went by before they met and how many miles were they from Joseph's house when they met, the following calculations should be performed:
27 - (4 + 5) = 27 - 9 = 18
27 - (4 + 5) x 3 = 0
Therefore, it took 3 hours for the two to meet.
4 x 3 = 12
Thus, they were 12 miles from Joseph's home when they met.
What is the probability of choosing a clubs or a numbered card from a deck of cards? Type your answer as a fraction.
Answers
Answer:
13/52
Step-by-step explanation:
A mans basic wage for a 40 hour week is 160 . He is paid 5 per hour for overtime .If he fors for 6.5 hours overtime in a certain week , his wages for that week is
Answers
Answer: $192.50
Step-by-step explanation:
wages for 40 hrs + wages for overtime work
$160.00 + 6hrs × $5.00 + $2.50 (1/2 hrs)
$192.50
Credit: anjalijalan3126
kim's scores in the diving competition were 7,2, 6.975, 8.0 and 6.96 what is her total score
decimal
Answers
Answer:
8.0
Step-by-step explanation:
1.11. There are 37 girls and 39 boys going on a field trip with the drama club. At least 1 adult for
every 6 students will also go on the trip. Which correctly explains how to find the number of
adults needed for the trip?
(
Answers
Answer:
C
I have done the math on a calculator. :p
Answer:
C
Step-by-step explanation:
First you Just Divide
and the remainder
will be R4 and it's 76÷6
PLEASE HELP!!
What value if m makes the equation true??
m+2m-6 =-12+2m
m=?????
Answers
find the length x
help pls , need asap
Answers
Answer:
x = 8
Step-by-step explanation:
[tex]\frac{6}{x}[/tex] = [tex]\frac{3}{4}[/tex]
cross multiply
3x = 6(4)
3x = 24
divide
x = 8
x=4•6/3
x=24/3
x=8
Check:
6/3=2
8/4=2
Good luck.
The area of a. square field is 100m square. what is the perimeter of the field?
Answers
answer:the Perimeter is 40m
Which statements must be true to model a data set using a normal distribution?
The sample mean must equal the population mean.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample size, n, must be at least 30.
The population mean must be greater than the sample mean.
Answers
Answer:
The sample must be randomly selected.
The sample size, n, must be at least 30.
Step-by-step explanation:
Plato
Answer:
The sample must be randomly selected.
The sample size, n, must be at least 30.
Step-by-step explanation:
Plato/Edmentum