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
A test is made of H subscript 0 colon space mu space equals space 43 space space v e r s u s space space H subscript 1 colon space mu space greater than space 43. A sample of size n equals 76 is drawn, and the sample mean is 47. The population standard deviation is 25. Compute the value of the test statistic and determine if the H subscript 0 is rejected at the alpha equals 0.05 level.
Answers
Answer:
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 43
Given that the mean of the sample = 47
Given that the standard deviation of the Population = 25
Given that the sample size 'n' = 76
Step(ii):-
Null hypothesis:H₀: μ = 43
Alternative Hypothesis: H₁: μ ≠ 43
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }[/tex]
Z = 1.39
Level of significance = 0.05
The critical value = 1.96
Final answer:-
The calculated value Z = 1.39 <1.96 at 0.05 level of significance
The null hypothesis is accepted
look at the attachment
Answers
Answer:
5x-60 Is the answer .5*x =5x -(5*12)5x - 60.what is 1/3 out of 18 pieces
Answers
Answer:
6
Step-by-step explanation: :)
If the length of a rectangle is (x + 7) inches and the width is (3x+2) inches. Which expression represents the rectangle's area? HINT: Area = width * length
Answers
Answer:
The answer is no 1:
[tex]3x ^{2} + 23x + 14[/tex]
what would been the volume?
Answers
Answer:
960 cm²
Step-by-step explanation:
Volume = height x length x width
Volume = 16 x 12 x 10
Volume = 1920 cm²
Since this prism is half
Volume = 1/2 ( 1920)
Volume = 960 cm²
Can Someone Help Me Pleaseee. ?
Answers
Hi good morning just need help this is just a warmup not a test or anything like that.
Answers
Answer:
75.2in = 191.008cm
Answer:
191.008cm
Step-by-step explanation:
75.2 inches =191.008cm
write the sentence as an inequality.
a number k is more than -7 and less than -1.
Answers
Answer:
-7<k<-1
Step-by-step explanation:
k is greater than negative seven, and
-1 is greater than k
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
Directions: Graph each function using a table of Graph each values, then identify its key characteristics.
1
4. y=(1/2)x
Growth / Decay
»-(
Domain:
Range:
j-intercept:
Asymptote:
Answers
Answer:
Step-by-step explanation:
Given function is,
[tex]y=(\frac{1}{2})^x[/tex]
In the given exponential function,
Base of the function = [tex]\frac{1}{2}[/tex]
By the property of an exponential function,
1). If the base is between 0 and 1, function will be a growth function.
2). If the base is greater than 1, function will be a decay function.
Therefore, given function is a decay function.
Input-output table,
x -2 -1 0 1 2
y [tex](\frac{1}{2})^{-2}=4[/tex] [tex](\frac{1}{2})^{-1}=2[/tex] [tex](\frac{1}{2})^{0}=1[/tex] [tex](\frac{1}{2})^1=\frac{1}{2}[/tex] [tex](\frac{1}{2})^2=\frac{1}{4}[/tex]
By plotting these points we can get the graph of the function.
Domain: (-∞, ∞)
Range: (0, ∞)
y-intercept: 1
Asymptote: y = 0
Brady started to fill the box shown with some unit cubes.
Enter the total number of unit cubes needed to completely fill the box.Include the unit cubes already shown in your total.
Answers
Answer:
210
Step-by-step explanation:
Step 1: 6 rows and 6 columns each side so 6*6=36
Step 2: we have 6 sides so 36*6=216 cubes
Step 3: substract 6 cubes from the total since each row and column shares the same cube 216-6=210 cubes
The total number of unit cubes is A = 210 cubes and volume is V = 216 units³
What is the Volume of a Rectangle?The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the height of the rectangle be = 6 units
Let the length of the rectangle be = 5 units
And , let the width be = 7 units
So , Volume of Rectangle = Length x Width x Height
V = 6 x 5 x 7
V = 210 units³
Hence , the number of unit cubes is A = 210
To learn more about volume of rectangle click :
https://brainly.com/question/25422723
#SPJ2
1. You had $ 1 million, but then you spent $999 and then $22.222. How much
money do you have left?
Answers
ANSWER:
Look at this picture that will explain everything.
Help with this question pls & graph on MY graph pls
Answers
Answer:
I cant graph it on yours, but hope this helps
Step-by-step explanation:
write a mathematical equation and calculate the area of the irregular polygon
Answers
Find the surface area of the prism
Answers
Answer:
192 km²
Step-by-step explanation:
Surface Area of the triangular prism = 2(Base Area) + Perimeter of Base*height of the prism
✔️Base Area = ½*bh
b = 6 km
h = 8 km
Base area = ½*6*8 = 24 km²
✔️Perimeter of base = 6 + 8 + 10 = 24 km
✔️Height of prism = 6 km
Plug in the values into the equation:
Surface area = 2(24) + 24*6 = 48 + 144
Surface area = 192 km²
Find the product for the following expressions:
(8c + 2)(5c-7)
Answers
Answer:40c^2-46c -14
Step-by-step explanation:
(8c+2)*(5c-7)
8c*(5c-7)+2(5c-7)
40c^2-56c+10c-14
40c^2-46c-14
Answer:
(8c + 2)(5c-7) = 40c²-46c-14Explanation:
(8c + 2)(5c-7) = 40c²-56c+10c-14
(8c + 2)(5c-7) = 40c²-46c-14
Which shape is a parallelogram?
I’ll mark you if you give the right answer!!
Answers
Answer:
The rectangle is a parallelogram.
Step-by-step explanation:
Parallelograms are shapes with two pairs of parallel sides.
The rectangle is the only shape that meets those requirements.
PLEASE HELPPO ITS A TEST AND I DONT HAVE TIMEE
Answers
Answer:
I can help but there's no question.... let me know when you either reupload the question or edit it :)
Step-by-step explanation:
I'd be glad to help!
Average mido Find the mean, median, and range of the following data items: 74, 75, 78, 84,94 18 20 84 78 81 82.5 Mean Median Range
Answers
Answer:
18: mean = 70.5
median = 76.5
range = 76
20:
mean = 70.83
median = 76.5
range = 76
84:
mean = 81.5
median = 79.5
range = 20
78:
mean = 80.5
median = 81
range = 20
81:
mean = 81
median = 80.25
range = 20
82.5:
mean = 81.5
median = 80.25
range = 20
Step-by-step explanation:
mean = average = sum of numbers / amount of numbers present
median = middle number (arranged least to greatest)
range = largest number - smallest number
HELP PLZ!
The Fluffy Lump Cat Toy Company rents a warehouse facility. There
is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of
toys that are stored. If the total cost for this month was $1315, how many boxes
of toys are being stored?
NO LINKS
Answers
Answer:
23 boxes of toys are being stored.
Step-by-step explanation:
There is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of toys that are stored
This means that for x boxes of toys stored, the total cost is of:
[tex]C(x) = 1200 + 5x[/tex]
If the total cost for this month was $1315, how many boxes of toys are being stored?
This is [tex]x[/tex] for which [tex]C(x) = 1315[/tex]. So
[tex]C(x) = 1200 + 5x[/tex]
[tex]1315 = 1200 + 5x[/tex]
[tex]5x = 115[/tex]
[tex]x = \frac{115}{5}[/tex]
[tex]x = 23[/tex]
23 boxes of toys are being stored.
What is the median of the data set?
3,3,5,5,5,7,7,8,15,15
Answers
Answer:
(5+7)/2 = 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
median is the middle number, or in this case the sum of the middle number divided by 2
5 + 7 = 12/2
6
Will choose branliest
Answers
option three I’m so sorry if I’m wrong :heart:
Cameron runs 2.4 miles 3 days a week. How many miles does he run total in one week?
Answers
Answer:
5.6
Step-by-step explanation:
2.4 / 3 = x / 7
2.4 x 7 = 16.8
16.8 ÷ 3 = 5.6
Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
3, 1, 5, 4, 8,6
Answers
Answer:
4.5 is the mean/average
Step-by-step explanation:
3+1+5+4+8+6=27
27 divided by 6 = 4.5
Pllllsssss help I’m having trouble
Answers
Answer:
that would probably be
Step-by-step explanation:
40
please help I will give brainlist!!
Answers
Answer:
Step-by-step explanation:
ax+d>o
that ax+d is greater than o
pls mark me branliest
A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random?
1/5
1/7
5/21
5/20
Answers
Answer:
1/5
Step-by-step explanation:
7 + 13 =20
20 + 5 = 25
5 is a fifth of 25
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
There are 25 socks in total, only 5 of these are green.
The proportion would look like this:
[tex]\frac{5}{25}=\frac{1}{5}[/tex]
Help if you can!
Also, show work
thxxx <3
-10 pts
Answers
Answer:
1. A. 66 cubic inches.
2. A. 151,410,000
Step-by-step explanation:
For number one: Multiply 3 x 4 and that will give you 12 then multiply that by 11 and that will also give you 132. Lastly, divide 132 by 2 and it will get you 66 cubic inches.
For Number two: Multiply 420 by 721,000 and that will give you 302,820,000.
Once you have that, divide it by 2 and will give you 151,410,000.
Find the surface area of the pyramid.
Answers
two companies working together can clear a parcel of land in 9 hours. working alone,it would take company A 3 hours longer to clear the land than it would company B. How long would it take company B to clear the parcel of land alone ( round your answer to the nearest tenth.)
Answers
Answer:
.33
Step-by-step explanation:
