Answer:
970299
Step-by-step explanation:
We have,
[tex]99^{3}[/tex]
[tex]= (100 - 1)^3[/tex]
We know that,
[tex](a-b)^3 = a^3 - b^3 -3ab (a-b)[/tex]
Therefore,
[tex](100)^3 - 1^3 - 3(100)(1)(100-1)[/tex]
[tex]1000000 - 1 - 300(100-1)[/tex]
[tex]1000000 - 1 - 30000 + 300[/tex]
[tex]=970299[/tex]
the volume of the cube is 8 ft^3. what the length of each side?
Answer:
2 feet
Step-by-step explanation:
Use the cube volume formula, V = s³, where s is the side length.
Plug in 8 as V, and solve for s:
V = s³
8 = s³
Take the cubed root of each side:
2 = s
So, the length of each side is 2 feet.
Answer:
[tex]2 feet[/tex]
The Solution is:
Use the cube volume formula, V = s³, where s is the side length.
Plug in 8 as V, and solve for s:
V = s³
8 = s³
Take the cubed root of each side:
2 = s
So, the length of each side is 2 feet.
Help with these two and explain pls and thankyouuu
Answer:
3-3x and 3
Step-by-step explanation:
f(x) = 3x-3
g(x) = -x
g(f(x)) in your g(x) substitute x with f(x)
g( f(x) ) = g( 3x-3) = -(3x-3) = -3x+3
is the the second choice from top because -3x+3 is the same with 3 -3x
g(f(x)) =3-3x
g(f(0)) always work from inside first, so first find f(0) than g(f(0))
f(0) = f(x=0) = 3*0-3 = -3
Now we do the g(f(0)) = g( -3) is the same as
g(x) except that we substitute x for -3, g(x= -3) = -(-3) =3
g(f(0))=3
*an easier way to find the answer for the second problem would have been that we knew that f(g(x) ) = 3-3x so f(g(0)) =3-3*0 = 3
3s(4+6)^2 is an example of
A. an algebraic equation
B. a numerical expression
c. a numerical equation
D. an algebraic expression
Answer:
the answer for this is D.
Step-by-step explanation:
it is a combination of letters operations and variables.But it is not equated (=) to something that is why it is not an algebraic equation.It is also not a numerical equation or numerical expression because it does not consist of only numbers.
3s(4+6)² is an example of an algebraic expression.
What is an algebraic expression?"An algebraic expression is an expression built up from integer constants, variables, and the algebraic operations."
The given expression is:
3s(4+6)²
The given expression is not an equation as it does not contain an equal sign. It is an expression.
Therefore, it is neither algebraic nor numerical equation.
Now, it contains a variable 's'.
Therefore, it is not a numerical expression.
Hence, the given expression is an algebraic expression.
Learn more about an algebraic expression here: https://brainly.com/question/19245500
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HELPP PLZ DONT SEND A FILE WHATS THE ANWERS ASAP
The answer is 2990.8 yd
Formula for SA of cylinder: 2*pi*r*h+2*pi*r^2
Formula for radius: diameter/2
Plug the radius, 17, height, 11, and pi, 3.14, into the formula above.
= 2990.8 yd
Answer:
Step-by-step explanation:
It's 5
tính z=(〖(1+i)〗^10-1)/(〖(1+i)〗^10+1)
It looks like the given complex number is
z = ((1 + i )¹⁰ - 1) / ((1 + i )¹⁰ + 1)
Let w = 1 + i, so we rewrite
z = (w ¹⁰ - 1) / (w ¹⁰ + 1)
Since w * = 1 - i, we get w w * = (1 + i ) (1 - i ) = 1 - (-1) = 2. Multiply z by ((w *)¹⁰ + 1) / ((w *)¹⁰ + 1). This gives
z = (2¹⁰ - 1 + w ¹⁰ - (w *)¹⁰) / (2¹⁰ + 1 + w ¹⁰ + (w *)¹⁰)
Now, writing w in polar form yields
w = √2 exp(i π/4)
==> w ¹⁰ = (√2)¹⁰ exp(i 10π/4) = 2⁵ exp(i 5π/2) = 2⁵ i
Similarly,
w * = √2 exp(-i π/4)
==> (w *)¹⁰ = -2⁵ i
So we have
w ¹⁰ + (w *)¹⁰ = 0
w ¹⁰ - (w *)¹⁰ = 2 × 2⁵ i = 2⁶ i
Then we end up with
z = (2¹⁰ - 1 + 2⁶ i ) / (2¹⁰ + 1) = (1023 + 64i ) / 1025
Dale is following this recipe to make shortbread fingers.
Dale uses 100 g of butter.
How many shortbread fingers does he make? Recipe: Makes 20 fingers
125 g butter
55 g sugar
180 g flour
Answer:
You need the recipe to solve for the answer
Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 27 and 28? Round your
answer to the nearest tenth of a percent.
A. 10.3%
B. 9.3%
C. 11.3%
D
12.13%
Answer:
D,p
Step-by-step explanation:
whattttttt ,why is there no option in D
The Probability that a data value is between 27 and 28 is 9.3%.
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 to 1,
Here, mean of the data is 26
P(0 ≤ x - μ ≤ σ/2) = 0.195
P(0 ≤ x - μ ≤ σ/4) = 0.0987
P(σ/4 ≤ x - μ ≤ σ/2) = 0.093
Thus, the Probability that a data value is between 27 and 28 is 9.3%.
Learn more about Probability from:
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General Definition: Proceeding, made, or occurring without definite aim, reason, or pattern. For example: "I walked around the store and randomly picked a person to talk to". Building Trades: lacking uniformity of dimensions. For example, random pieces of wood. Statistics Definition: Selecting individual people or objects from a population where every person or object in the population has an equal probability of being chosen. Write a small paragraph discussing how the "general" and "building trades" definitions of random differ from the "statistics" definition of random. Also discuss why these definitions create confusion for statistics students. For example, many people out in the world say they collected "random data" when it is not random data. In fact they do not even know what random data is.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
In the first example, a team walks into a bar & chooses the random person to speak, in which situation, the woman who walks to the club has made a choice, he has selected a people with and who he wants to speak, it is a subjective preference. A choice cannot be random in statistical since it has a subjective preference. The first interpretation may therefore be randomized in general, but not arbitrary in statistics.
In the second example, i.e., the definition of Building tracks Example, a randomized wood piece is an identical piece or is different in size from other pieces. In this, piece wood has been differentiated by one's looks so, when asked to pick a random piece, we are likely to choose a non-uniform part rather than the uniform one. It is a random racial bias, so again in constructing pursuits the second definition could be random, but not a discrete one in stats.
In the identification numbers of random, we intentionally state that equal probability for each unit in the population of inclusion in the sampling. The definition essentially includes all sorts of predilection, and therefore refers to true allegiance, when we neither make that choice nor want to choose a separate unit.
Find the parity of the following if a and b have different parities.
(5a - 3b)(a² + 5b) + 2
9514 1404 393
Answer:
odd
Step-by-step explanation:
If 'a' and 'b' have different parity, the result has odd parity.
__
Assume a=odd, b=even
(5·odd -3·even) = odd
(odd^2 +5·even) = odd
(odd)(odd) +2 = odd
__
Assume a=even, b=odd
(5·even -3·odd) = odd
(even^2 +5(odd)) - odd
(odd)(odd) +2 = odd
_____
The attached verifies this with numbers.
Plsssss help plsssssss
Differentiate 4^xlnx
If you mean
[tex]\dfrac{\mathrm d}{\mathrm dx}\left[4^x\ln(x)\right][/tex]
then first write [tex]4^x=e^{\ln(4^x)}=e^{\ln(4)x}[/tex]. Then by the product rule,
[tex]\dfrac{\mathrm d}{\mathrm dx}\left[4^x\ln(x)\right] = \ln(4)e^{\ln(4)x}\ln(x) + \dfrac{e^{\ln(4)x}}x = \ln(4)4^x\ln(x)+\dfrac{4^x}x=\dfrac{4^x}x\left(\ln(4)x\ln(x)+1\right)[/tex]
If you instead mean
[tex]\dfrac{\mathrm d}{\mathrm dx}\left[4^{x\ln(x)}\right][/tex]
you can again rewrite [tex]4^{x\ln(x)} = e^{\ln\left(4^{x\ln(x)}\right)}=e^{x\ln(x)\ln(4)}[/tex]. Then by the chain and product rules,
[tex]\dfrac{\mathrm d}{\mathrm dx}\left[4^{x\ln(x)}\right] = e^{x\ln(x)\ln(4)}\ln(4)\left(\ln(x)+1\right) = 4^{x\ln(x)}\ln(4)(\ln(x)+1)[/tex]
Given the axle below, how much force must be applied to the handle to lift the weight?
Equation:
F = (w * da) / dh
F = (400 * 2) / (30)
F = (800) / (30)
F = 26.7 or 27 lb
HOW CAN STATISTICS BE USED TO COMPARE DATA SETS?
Answer:
i don't think you can compare statistics to data sets.
Step-by-step explanation:
Answer:
It can by being compared by using averages, box plots, the interquartile range and standard deviation.
You're welcome.
Find the 7th term of the sequence
1, 4, 16, 64,...
28
16,384
4096
2401
Answer:
3rd option, 4096
Step-by-step explanation:
4⁰ = 1, 1st term
4¹ = 4, 2nd term
4² = 16, 3rd term
.
.
.
4⁶ = 4096, 7th term
Answered by GAUTHMATH
Find the slope of each line -2 -2, +2 +2
Help needed
Answer:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
Step-by-step explanation:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
Which expression is equivalent.
Option A is the correct answer
Answer:
ok so the correct answer is A!
Step-by-step explanation:
hope it helped!
have a nice day.
How many solutions would the system y=3x^2-6x+5
y=-x^2+3 have
Answer:
2
Step-by-step explanation:
The solutions are:
(1/2,11/4) and (1,2)
Part A
Joseph runs 2 1/2 miles on Monday. Each day after that, he runs the same 1 1/3 mile route every morning. His goal is to run at least 6 miles
by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?
Answer:
Joseph must run at least 3 more days to achieve 6 miles per week.
Step-by-step explanation:
Since Joseph runs 2 1/2 miles on Monday, and each day after that, he runs the same 1 1/3 mile route every morning, and his goal is to run at least 6 miles by the end of the week, to determine which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal, the following calculation must be performed:
1/2 = 0.5
2 1/2 = 2.5
1/3 = 0.333
1 1/3 = 1.333
(6 - 2.5) / 1.333 = X
3.5 / 1.333 = X
2.625 = X
Therefore, Joseph must run at least 3 more days to achieve 6 miles per week.
In a right triangle, the hypotenuse is 12 cm and one leg is 7 cm. What is the length of the other leg? A. 11.7 cm B. C. 12.7 cm B. 9.7 cm D. 7.9 cm
Answer:
B. 9.7
Step-by-step explanation:
√12²-7²=√144-49=√95=9.7
HELPP PLEASEE TELL ME WHICH IS RIGHT AND WRONG AND HELP KE EXPLAIN I DONT WANNA FAIL SUMMER SCHOOL NO LINKS OR FILE WOULD BE DEEPLY APPRECIATED
Answer:
Orca Correct, Sea Star Wrong. Heart it if it was helpful :D
Step-by-step explanation:
11-4=7. Orca correct.
Sea star...11-4=7
Wrong its 7, not -7
Answer:
The orca is right and the sea star is wrong.
If you were to add 11 to -4, it would no longer be a negative number.
You take four out of 11 which would bring it to a zero. There would be 7 left, therefore the answer being a positive 7.
9 x (-3) + (-15) ÷ 3
Answer:
-32
Step-by-step explanation:
9(-3) + (-15) ÷ 3 =
-27 + -5 = -32
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:-32
Step-by-step explanation:
A company that produces fine crystal knows from experience that 15% of its goblets havecosmetic flaws, while the remaining 85% are flawless.(a) (8 points) If eight goblets are selected at random, what is the probability that exactly twohave flaws
Answer:
The probability that exactly two have flaws is P (x=2) = 0.2376
Step-by-step explanation:
Here
Success= p= 0.15
Failure = q= 0.85
total number= n= 8
Number chosen = x= 2
Applying the binomial distribution
P (x=x) = nCx p^x(q)^n-x
P (x=2) = 8C2 0.15 ²(0.85)^8
P (x=2) = 0.2376
The success is chosen about which we want to find the probability. Here we want to find the probability that exactly two have flaws so success would be having flaws therefore p = 0.15
10 ft
8 ft
Find the perimeter of this figure to
the nearest hundredth. Use 3.14 to
approximate a.
P = [?] ft
Answer:
P = 40.56 ft
Step-by-step explanation:
The figure is composed of a rectangle and half circle
The perimeter of the figure = the length of the borders round the figure
= W + 2L + ½(perimeter of full circle)
W = 8 ft
L = 10 ft
½(perimeter of circle) = ½(πd) = ½(3.14*8)
= 12.56 ft
Plug in the values
Perimeter of the figure = 8 + 2(10) + 12.56
= 8 + 20 + 12.56
= 40.56 ft
Why is it important for the leading coefficient
to be nonzero?
Answer:
Because if it is zero, then it is multiplied the variable and it will be zero. For example if I had 0x(squared) + x, it would just be x because zero times any number is zero. Looking at the problem, I would assume it was quadratic because it had x squared, but it isn't because there are 0 x squared values.
Step-by-step explanation:
A kite is flying 92 feet off the ground, and it’s string is pulled taut. The angle of elevation of the kite is 63°. Find the length of the string. Round your answer to the nearest 10th
Answer:
26 × 35 = 910=890 I multiply the 26 and 35 together and got 910 and then I round off to nearest 10th and got 900
So the awnser is 890m
Solve -3(2-5w)=9w+66 for w
Answer:
w = 12
Step-by-step explanation:
-3(2-5w) = 9w + 66
Complete the parenthesis:
-6 + 15w = 9w + 66
Switch the numbers and group them with like terms;
15w - 9w = 66 + 6
6w = 72
w = 12
Check answers if you want to be sure
Can someone be able to help me please???
9514 1404 393
Answer:
A. Nonlinear function
Step-by-step explanation:
No vertical line intersects the graph in more than one place, so it is a function (not a "relation").
The graph is not a straight line, so is not a linear function. It is a nonlinear function.
Answer:
nonlinear function
Step-by-step explanation:
A linear function is a straight line, a nonlinear function is a curved line, and a relation is a relationship between two points on a graph, such as an equation.
Which type of checking account requires a certain amount of money to be
kept in it at all times in order to avoid fees?
A. Minimum balance account
B. Free account
C. Cost-per-check account
Ο Ο
D. Average balance account
Answer:
the answer is a
Step-by-step explanation:
minimum balance account
HELP ME MATCH THESE PLEASEEEEE I DONT WANNA FAIL SUMMER SCHOOL NO LINKS OR FILES PLEASE
Answer:
-4 + 8 = 4
5 - 8 = -3
8 + (-5) = 3
-7 + 5 = -2
-5 + 4 = -1
A certain factory produces and sells 8000 cars per month, making a monthly net profit of P dollars. They sell
each car for n dollars and it costs them c dollars to produce a single car.
Write an equation that relates P. n, and c.
Answer:
p= 8000n-8000c
Step-by-step explanation:
8000
p= n - c
or
p= 8000n-8000c
Esentially you need to subtract n, the amount they sell each car for by c, the amount it costs to produce a car, (which should be less because the company has to make money) this would give you the total they make a month, P.
Because the amount of cars is constant, 8000, you can always multiply the cost of the car and how much its sold for by 8000. Otherwise, you would have another variable like k, which would be how many cars sold