Answer:
i^3 = -i
Step-by-step explanation:
i^3
Rewriting as
i^2 *i
We know that i^2 = -1
-1 *i
-i
Find the measure of CDE. The measure of CDE equals a certain # of degrees.
2x-13+3x-8+2x-3+2x-7+3x-1+2x+11+2x+9= (7-2)×180
16x-12=(7-2)×180
(7-2)×180 Work this out on a calculator
And then that answer=16x-12
Then you solve by adding 12 both sides and dividing by 16 both sides to get what x is.
b) Write down the formula to find the perimeter of a circle.
Answer:
C = 2πr
Step-by-step explanation:
We know that, the perimeter of a figure is equal to the sum of all sides.
A circle having no sides.
The perimeter of a circle = The circumference of the circle
The formula for the circumference of the circle is given by :
C = 2πr
Where
r is the radius of the circle
Hence, this is the required solution.
22. Jordan invests $1000 in an account that pays 7% interest compounded continuously. To the nearest cent, how much will be in the account at the end of 3 years? Use A = Pe! $1233.68
$4352.05
$6122.97
$8166 17
Answer:
The formula to find interest over time is I=PRK
so 210=1000*0.07*3
add 210 to 1000 and we get 1210 so idontknow now now the the answers make any since s0rry
What is an equation of the line that passes through the points (3, -3) and (6, -1)?
What is 5x^3 - 15x^2 factored, completely?
Please show all the work!!
Answer:
5x²(x - 3)
Step-by-step explanation:
Factor out 5x²
5x²(x - 3)
Answer:
The answer is [tex]5x^{2} (x-3)[/tex].
Step-by-step explanation:
To completely factor [tex]5x^{3}-15x^{2}[/tex], start by factoring [tex]5x^{2}[/tex] out of [tex]5x^{3}[/tex], which will look like [tex]5x^{2} (x)-15x^{2}[/tex].
Next, factor [tex]5x^{2}[/tex] out of [tex]-15x^{2}[/tex], and it will look like [tex]5x^{2} (x)+5x^{2} (-3)[/tex].
Then, factor [tex]5x^{2}[/tex] out of [tex]5x^{2} (x)+5x^{2} (-3)[/tex], and the final completely factored form is [tex]5x^{2} (x-3)[/tex].
Find the 12th term of the geometric sequence 8, 16, 32...
Answer:
a₁₂ = 16384
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 8 and r = a₂ ÷ a₁ = 16 ÷ 8 = 2 , then
a₁₂ = 8 × [tex]2^{11}[/tex] = 8 × 2048 = 16384
Answer:
16384
Step-by-step explanation:
We know that this is geometric sequence meaning we are multiplying the term before by a constant number.
We can see that 8 x 2 = 16 and 16 x 2 = 32. Meaning the number we are multiplying by is 2.
Terms:
We know that 8 is out first "term" so we don't multiply by anything. 16 is the second and we multiply 8 once to sixteen. 32 is the third and we multiply 8 twice by 2 to get to 32. We can see that the number of times we multiply is always 1 less that the term number.
We can write this equation. 8 x 2 ^ (n-1)
n is the term number.
This makes sense because we start with eight and multiply by two. We raise it to the n-1 power because we know we multiply 2 n-1 times to eight.
Answer:
Let's plug in our numbers!
8 x 2 ^ (12 - 1)
I use twelve because we're trying to figure out the 12th term.
8 x 2 ^ 11 = 16384
If you have a khan academy account I highly suggest you check out the unit about sequences in algebra 1! Good Luck
JoeLouis2
Which of the following tables represents a function?
Answer:
The last one
Step-by-step explanation:
Simplify the following expression (a³b)⁴
Answer:
a¹²b⁴
Step-by-step explanation:
When terms with exponents are multiplied, the exponents multiply.
(a³b)⁴ = a¹²b⁴
Answer: a^12b^4
Step-by-step explanation:
(a^3b)^4 = (a^3b) x (a^3b) x (a^3b) x (a^3b) = a^12b^4
How many solutions are there to the following equation?
2(x + 1) = 2x + 1
A. O
B. 1
C. Infinitely many
Pls help.
Thank You So Much if you did!
Answer:
1 a) 124
Step-by-step explanation:
x +1 /5 =25
x +1 =25*5
x+ 1=125
x = 125-1
x=124
Answer my question its urgent
Answer:
Step-by-step explanation:
Hope this helps u!!
what is the slop of the line?
slope = 1/3
slope = -3
slope = 3
Answer: slope = 3
Step-by-step explanation:
We can see from the point intersecting the y axis (y-intercept) to the point (1, 1) it goes up 3 and right 1 giving us the slope [tex]\frac{3}{1}[/tex] simplified to 3
True or False:
The value of y in the given equation is 18.
y + 17 = 36
True or false
Answer:
False ..... ....... . . .. ..
If g(x)= x+2/x-2 and h(x) = 4 - X, what is the value of (GoH)(-3)?
A.) 8/5
B.) 5/2
C.) 15/2
D.)18/5
Answer:
A. 8/5
Step-by-step explanation:
please be careful when typing the question. you made a mistake here (you wrote "x+2" instead of "x+1"). luckily you have provided also the screen shot.
the used symbolism of a composite function is nothing else than asking for
g(h(x)) for x=-3.
so, first we need to calculate h(-3) = 4 - -3 = 7
then we take that result as argument for g : g(7) = 8/5
so, altogether
g(h(-3)) = g(7) = 8/5
we can do this generically for x by substituting x in g by the expression of h
g(h(x)) = ((4-x) + 1) / ((4-x) - 2) = (5-x)/(2-x)
for x = -3 this gives (5- -3)/(2- -3) = 8/5
The value of the composite function (g o h) (-3) is 9/5.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
First, we need to find the composition g o h, which means we need to substitute h(x) into g(x), so that:
(g o h)(x)
= g(h(x))
= g(4 - x)
= [(4 - x) + 2] / [(4 - x) - 2]
= (6 - x) / (2 - x)
Now, we can find (g o h)(-3) by substituting x = -3 into the expression above, which gives:
(g o h)(-3)
= (6 - (-3)) / (2 - (-3))
= 9 / 5
Therefore,
The value of (g o h)(-3) is 9/5.
Learn more about functions here:
https://brainly.com/question/28533782
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How many isosceles triangles in this pentagon?
Answer:
6 triangles
i am not very sure thou
Find the dilated coordinates with the centre of (0,2) and scale factor of 3 for the point D(2, 2).
i neeeddd this pleaseee and thank u
Answer:
(6, 2)
Step-by-step explanation:
xD' = (0-0) + (3×2) = 0+6 = 6
yD' = (2-0) + (3×0) = 2+0 = 2
the dilated coordinate D' (6, 2)
Answer:
6 and 2 pls answer my questions plss
The water level at Lake Willow
was -14 feet. After 3 days of rain,
the water level rose by 23 feet.
What is the water level after the
rain?
+
Answer:
9ft
Step-by-step explanation:
-14 + 23 = 9
Help please ASAP ASAP
Answer:
-1/12
Step-by-step explanation:
The slopes of perpendicular lines are equivalent to -1.
Answer:
-1/4
Step-by-step explanation:
Subtract 12x from both sides to get -3y=-12x+81
Divide both sides by -3 to get y=4x-27
Take the negative reciprocal of 4, which is -1/4
how would i graph -2≤x<4
Answer:
Step-by-step explanation:
Like that on the graph but on the x axis
Answer:
I hope this helps!
Step-by-step explanation:
can someone help please...
Answer:
C. 8
Step-by-step explanation:
You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:
4*2= 8
answer as soon as possible
Answer:
a). 840 b). 14
Step-by-step explanation:
a). 840 miles
350 miles ÷ 25 gallons = 14
14 (miles per gallon) x 60 gallons of gas = 840
b). 14
(first step of the first answer)
350 miles ÷ 25 gallons = 14 miles per gallon
hope this helped!
a) 840 miles can go for 60 gallons of gas.
b) The mileage is 14 miles per gallon.
Here, we have,
given that,
A new truck can travel 350 miles on 25 gallons of gas.
now, we have,
a). we get,
the milage of the truck is:
350 miles ÷ 25 gallons = 14
so, we get,
for 60 gallons of gas it can go:
14 (miles per gallon) x 60 gallons of gas = 840
so, 840 miles can go for 60 gallons of gas.
b). and, again we have,
the milage of the truck is:
(first step of the first answer)
350 miles ÷ 25 gallons = 14 miles per gallon
so, The mileage is 14 miles per gallon.
To learn more on multiplication click:
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CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer: 3 7/12
Step-by-step explanation:
1. Solving the whole number
4-1=3
2. Solving the fraction parts
3/4 - 1/6=
Find the LCM. The LCM is 12 so we rewrite the factions like this:
9/12-2/12=7/12
3. Add.
3+ 7/12= 3 7/12
Hey there!
4 3/4 - 1 1/6
= 19/4 - 7/6
= (19 × 6) - (7 × 4) / 4 × 6
19 × 6 = 114
7 × 4 = 28
= 114 - 28 / 4 × 6
4 × 6 = 24
114 - 28 / 24
114 - 28 = 86
= 86/24
= 3 7/12
Answer: 86/24 OR 3 7/12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K’(2,5)
K’(-2,-5)
K’(-5,2)
K’(2,-5)
Find the greatest common factor of 15y^4 and 14y^2
Answer:
y^2
Step-by-step explanation:
Here, we want to get the greatest common factor
Looking at the two, 14 and 15 has no common factors
So, we shift focus to the y raised
We have this as ;
y^2( 15y^2 + 14)
Thus, y^2 is the common factor
Which expression(s) are equivalent to the given expression?
6x−18y+36
2(3x−9y+18) 2 times open paren 3 x minus 9 y plus 18 close paren
3(2x−6y+12) 3 times open paren 2 x minus 6 y plus 12 close paren
4(2x−14y+32) 4 times open paren 2 x minus 14 y plus 32 close paren
6(x−3y+36) 6 times open paren x minus 3 y plus 36 close paren
9(6x−2y+4)
Answer:
2 ( 3x - 9y + 18)
3 ( 3x - 6y + 12)
Inclusively:
6 ( x - 3y + 6)
Need to choose answers
Answer:
Box Number 3.
Step-by-step explanation:
4 is a coefficient in 4x because 4x is really 4*x which has 4 multiplying x. This is the same as 4 working with x. Also none of the other answers are true.
find the sum of (2x-12) from x=7 to x=16
Answer:
it's 2 obviously
Step-by-step explanation:
thanks
can someone please help!! 30 POINTS!!
Answer:
y = 5
Step-by-step explanation:
| x | means absolute value. That is number itself ( without the negative sign)
y = |x| - 6
y = | -11 | - 6
y = 11 - 6 = 5
5.
Peter earns $9 each hour for the first 40 hours he works each week. For every hour he
works after 40 hours, he earns $12 each hour. Last week Peter earned $444.
Which equation could be used to find the number of hours, h, during which Peter
earned $12 last week?
A. (40 x 9) + h = 444
B. (40 x 9) - h = 444
C. (40 x 9) + 12h = 444
D. (40 x 9) - 12h = 444
Find the common difference of the arithmetic sequence.
0, 0.4, 0.8, 1.2, . . .