Answer:
6(³√5)
Step-by-step explanation:
³√24×45=6(³√5)
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.
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 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)
Which of the following tables represents a function?
Answer:
The last one
Step-by-step explanation:
Find the common difference of the arithmetic sequence.
0, 0.4, 0.8, 1.2, . . .
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.
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
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
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
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:)
find the sum of (2x-12) from x=7 to x=16
Answer:
it's 2 obviously
Step-by-step explanation:
thanks
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
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.
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 isosceles triangles in this pentagon?
Answer:
6 triangles
i am not very sure thou
How many solutions are there to the following equation?
2(x + 1) = 2x + 1
A. O
B. 1
C. Infinitely many
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
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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Answer my question its urgent
Answer:
Step-by-step explanation:
Hope this helps u!!
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
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].
What is an equation of the line that passes through the points (3, -3) and (6, -1)?
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)
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
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
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
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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True or False:
The value of y in the given equation is 18.
y + 17 = 36
True or false
Answer:
False ..... ....... . . .. ..
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