Answer:9 ft
Step-by-step explanation:
It would be 9 ft because that's the smallest piece of wood he can use
Pls someone help me with this question
Step-by-step explanation:
remember, i = sqrt(-1)
you know what an exponent means, right ?
it means you multiply the enclosed term that many times with itself.
when you envision this as a long chain of (1+i)/(1-i) multiplications, you can see you can group them into pairs, and then multiply these pairs - just half the times than for the single terms.
so,
((1+i)/(1-i))²⁰²⁰ = ((1+i)/(1-i))² ^ 1010
to get an idea what the result of the long chain of multiplications might be, let's start with the square and see, if we can find a pattern, that we then can use to come to a conclusion about the total result.
((1+i)/(1-i))² = (1+i)²/(1-i)²
(1+i)² = 1×1 + 1×i + 1×i + i² = 1 + 2i - 1 = 2i
(1-i)² = 1×1 - 1×i - 1×i + i² = 1 - 2i - 1 = -2i
so,
((1+i)/(1-i))² = 2i/-2i = -1
aha !
so,
((1+i)/(1-i))² ^ 1010 = (-1)¹⁰¹⁰
just to be sure you understand, we use the same trick again
(-1)¹⁰¹⁰ = (-1)² ^ 505 = 1⁵⁰⁵ = 1
as 1 to any power is always 1.
so, the right answer is A.
remember, a negative number to an even power results always in a positive number. and to an uneven/odd power in a negative number.
again, because such an exponent is only the summary of many multiplications.
Quick Math Problems Plz Help Solve For X (Show Ur Work If U Can)
Answer:
5. [tex]6x^2 - x - 2[/tex]
6. [tex]9x^2 - 15x + 6\frac{1}{4}[/tex]
Step-by-step explanation:
5:
[tex](x+ \frac{1}{2}) (6x-4)[/tex] [tex](x)(6x) + (x)(-4) + (\frac{1}{2})(6x)+(\frac{1}{2})(-4)[/tex] [tex]6x^2 - 4x + 3x - 2[/tex] [tex]6x^2 - x - 2[/tex]6:
[tex](3x-\frac{5}{2})^2[/tex] [tex](3x - \frac{5}{2})(3x - \frac{5}{2})[/tex] [tex](3x)(3x) + (3x)(\frac{-5}{2}) + (\frac{-5}{2})(3x) + (\frac{-5}{2})(\frac{-5}{2})[/tex] [tex]9x^2 - \frac{15}{2}x - \frac{15}{2}x + \frac{25}{4}[/tex] [tex]9x^2 - 15x + \frac{25}{4}[/tex] [tex]9x^2 - 15x + 6\frac{1}{4}[/tex]YALL PLEASE HELP
NO ONE IS ANSWERING THIS DANG QUESTION -n-
The answer to this question is 0.16666666666
n/32 = 1/16
a. n=1/2. b. n=4
c. n=2. d. n=512
( BRAINLIEST QUEATION)
Find the HCF and LCM of 72 and 56
for detailed and showed working my answer is in the picture above
lcm = 504
hcf = 8
Answer:
The HCF of 72 and 56 is 8
and, the LCM is 504
In 2016, the cost of 2 ounces of pure gold was $2,640. How much did it cost for 1 ounce of pure gold?
Answer:
1320
Step-by-step explanation:
because half of 2640 is 1320
Answer: since two onces is 2,640 to find one once it would be 2,640 divide by 2 find the price of once once
Step-by-step explanation: 2,640/2 to find 1 once it would 1,320/1 or just 1320
find the measure of the angle.
how do you add 23+(2x)
;()
freE PoInT
noice
reeeeeeeeeeeeeeeeee
Answer:
23 + 2x
Have a GOOD DAY!
Simplify the expression below.
26√+(11−52)∣−10−2(3)∣
Group of answer choices
−83
−83
38
−38
Answer: I believe it is -38
Step-by-step explanation:
Im stuck help i only have 1 hour for this test
Answer: -161
Step-by-step explanation:
-161 because 23 TIMES -7 is -161
1 - 2x + 3y for x = -2 and y= -5
Answer:
All you need to do is plug the values and then simplify!
[tex] \large{ \tt{ - 2x + 3y}}[/tex]
Plug the value of x and y :[tex] \longrightarrow \: \large{ \tt{ - 2 \times ( - 2) + 3 \times ( - 5)}}[/tex]
When negative integer is multiplied by negative integers , we get positive integer & when positive integer is multiplied by negative integer , we get negative integer.[tex] \longrightarrow \large{ \tt4 + ( - 15){}}[/tex]
[tex] \longrightarrow \large{ \tt{4 - 15}}[/tex]
[tex] \longrightarrow{ \large{ \boxed{ \tt{ - 11}}}}[/tex]
Hence , Our simplified answer is -11 .~Hope this helps! *Let me know if you have any other queries regarding my answer ! <3
how many minute is in 120 hours
Answer:
7,200
Step-by-step explanation:
1h=60min
120h=7,200min
7,200 minutes is equal to 432,000 seconds.
7,200 minutes is equal to 432,000,000,000,000 nanoseconds
7,200 minutes is equal to 432,000,000,000 microseconds.
7,200 minutes is equal to 5 days.
7,200 minutes is equal to 0.71 weeks.
its 7,200 minutes
can someone please help me with number 4,6,9,10
Enter an equation in point-slope form for the line.
Slope is -4 and (1,9) is on the line.
The equation of the line in point slope form is:
Answer: (y-9) = -4(x-1)
Step-by-step explanation: The format of a point-slope line is y − y1 = m(x − x1), where x1 and y1 are a known point on a line with slope m. Given slope of -4 and a point of (1,9):
(y − y1) = m(x − x1)
(y − 9) = -4(x − 1)
This can be rearranged to the standard form: y = -4x+13
(4n + 1) (2n + 6)
help please
Answer:
8n^2 + 26n + 6
Step-by-step explanation:
(4n + 1) (2n + 6)
8n^2 + 2n + 24n + 6
8n^2 + 26n + 6
Hopefully this helped!
Brainliest please?
what is 25/176 as a decimal division
Step-by-step explanation:
[tex] \frac{25}{175} [/tex]
[tex]0.142045[/tex]
[tex]0.1420[/tex]
[tex] \frac{14.2}{100} [/tex]
[tex]14.2\%[/tex]
Answer:
0.1420454545
Step-by-step explanation:
If :
100 : 176 = 0.5681818182
so :
[tex]\sf{= \frac{25}{176} }[/tex]
[tex]\sf{= \frac{ 25 \times 0.5681818182}{176 \times 0.5681818182} }[/tex]
[tex]\sf{= \frac{14.20454545}{100} }[/tex]
[tex]\sf{\underline{\boxed{= 0.1420454545}} }[/tex]
what is the decimal equivalent of 17/20
A. 0.085
B. 0.117
C. 0.85
D. 8.5
Answer:
0.85.
Step-by-step explanation:
20)17.00 (0.85
- 160
100
-100
......
Determine whether the ordered pair is a solution of the linear equation y = -3/2x + 8 (2/37)
Answer:
No it is not a solution of the linear equation
Step-by-step explanation:
it is not a solution because
37= -3/2(2)+8
37= -3+8
37=5
Claire's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y represented by the equation y = 56 + 7.1x, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y = 92?
the change in expected quiz for every additional one hour students spend on their homework.
a student's expected quiz score if they spent 1 hours on their homework.
the number of hours a student should spend on their homework to expect a score of 92 on the quiz.
a student's expected quiz if they spent 92 hours on their homework.
Answer: t = 5.7 hours
Step-by-step explanation:
y=56+7.1x where x is the time spent studying. If y=92, this equation would preduct that the student spent t hours studying. Find t:
92=56+7.1x
36=7.1t
t = 5.07 hours to achieve the 92 score.
Answer: The number of hours a student should spend on their homework to expect a score of 97 on the quiz
Step-by-step explanation:
The accompanying graph is a sketch of the function
y = f(x) over the interval 0 SXS 7.
What is the value of (f. f)(6)?
1) 1 2) 2 3) (4) -2
A composite function combines two or more functions to generate a new function.
The value of [tex]\mathbf{f(f(6))}[/tex] is -2
The require parameter is:
[tex]\mathbf{f(f(6))}[/tex]
First, we calculate f(6)
From the graph (see attachment)
[tex]\mathbf{f(6) = 2}[/tex]
So, the function [tex]\mathbf{f(f(6))}[/tex] becomes:
[tex]\mathbf{f(2)}[/tex]
In other words,
[tex]\mathbf{f(f(6)) = f(2)}[/tex]
Next, we calculate f(2)
From the graph
[tex]\mathbf{f(2) = -2}[/tex]
So:
[tex]\mathbf{f(f(6)) = -2}[/tex]
Hence, the value of [tex]\mathbf{f(f(6))}[/tex] is -2
Read more about composite functions at:
https://brainly.com/question/20379727
y + 4 ≤ |x-2|
please explain how to solve and graph it. Also please show a graph.
| = an absolute value bar, it kinda looks like 1
Answer:
y ≤ |x - 2| + 4
Step-by-step explanation:
step (1)
move the 4 to the other side, so it would look like:
y≤ |x-2| + 4
step (2)
now we can start graphing it, you would first start on the x axis moving it to the right. so your point on the graph should be (2,0) {don't graph a point there though}
the reason we do this is because the absolute value means the opposite so everytime there is a number in the absolute value being added or subtracted by just x then we move it the opposite side.
then from that (2,0) we go up four which would now make it (2,4). that is our first point and vertex so graph that.
now in y≤ |x-2| +4 you have to note that if there is nothing next to the equality and the absolute value, then it will become a 1. so our equation will now look like y ≤ 1 |x-2| + 4. so with that from our (2,4) point, we go up one and to the right one and to the left one. So there should be two more points at (3, 5) and (1, 5).
we then keep following the pattern of going up one and the right one and to the left one. the graph line should be in a V shape.
step (3)
now there is one last thing you need to do which is shading. what you're going to do first is check the inequality sign. if the inequality sign has a line under it (meaning equal to) then the line will be a solid line. if it doesn't then there should be a dashed line. our inequality sign has a line under it so it is a solid line.
then we need to figure out where to shade, above or below. if the y is greater than the rest of the equation then that means you need to shade above the V shape. however, if it were to be less than the rest of the equation you would shade below the V shape.
in this problem since the y is less than the rest of the equation, shade downwards.
i hope this answered your question and sorry if my explanation was hard to understand, its a pretty lengthy and confusing but it was the only way i knew of how to explain :))
i need help on this one
im in 6th grade math! what is 94/288 reduced and simplified, then converted into a mixed number
Answer:
3 3/47
Step-by-step explanation:
94/288 reduced and simplified
94( ÷2)
------
288( ÷2)
=
47/144
now convert this to a mixed number which is
3 3/47
Hope this helped you- have a good day bro cya)
PLEASE HELP (picture shown)
Answer:
b a c d
Step-by-step explanation:
If BAC = ADB = 90. The value of x is
Zach bought 8 pieces of bubble gum that were $0.20 each. He used a number line to find the total cost. Choose the numbers to complete the sentences.
Answer:
He moved 7 hash marks and the product is $1.60
Step-by-step explanation:
It’s says he starts at 0.2 on the number line, so that’s the second hash mark after the 0. If you move to the right on each hash all the way til the 2, you moved 7 times.
The product of 8 x .20 = 1.60
Find the sum.
-19 + (-5)
Answer:
-24
Step-by-step explanation:
Since there is a -5, it will go backward. Imagine there is a -19 point on a number line. It will have to go 5 back because it says negative.
-kiniwih426
What is the x-intercept of the line with this equation 8x1/3y=16
8x - ¹/₃y = 16
8x - ¹/₃(0) = 16
8x - 0 = 16
8x = 16
8 8
x = 2
find the value of each variable 2x+4x+108
Answer:
Step-by-step explanation:
2x + 4x + 180
We have to do combine like terms.
2x and 4x are like terms, so add 2x to 4x. Which gives you 6x. Now you have the expres 6x + 180. You can’t find the variable for this expression, its unsolvable. If you meant, “2x + 4x = 180” Then yes, it would be solvable.
All you would have to do Is, 2x + 4x which gives you 6x, and now divide both side by 6. 6x divided by 6, the two 6 would cancel out, and 180 divide by 6, leaving you with 30. So x should equal to 30.
Find the product 3/5 divided 60
Answer: 1/100 or 0.01