Answer:
[tex]216w^{24}[/tex]
Step-by-step explanation:
[tex]\left(6w^8\right)^3[/tex]
[tex]6^3\times \left(w^8\right)^3[/tex]
[tex]216\times \left(w^8\right)^3[/tex]
[tex]216w^{8\times3}[/tex]
[tex]216w^{24}[/tex]
Answer:
6w^24
Step-by-step explanation:
(6w^8)^3
6w^8*3
6w^24
please follow me at brainly and give thanks
Solve the equation and find the value of x. 10(x + 3) - (-9x - 4) = x - 5+ 3
Your answer
Answer:
10(x + 3) - (-9x - 4) = x - 5+ 3
10x+30+9x+4=x-2
19x+34=x-2
19x-x= -2-34
18x=-36
x= -2
What is the common difference and the 5 th term in the arithmetic formula for an=6n+3
Answer:
is an=6n+3 your question?
Step-by-step explanation:
Answer:
Common Difference (d) =6
5th term = 33
Step-by-step explanation:
[tex]a_n= 6n +3.... (given) \\
Plug\: n = (n +1)\\
a_{(n+1)}= 6(n+1) +3 = 6n + 6 +3 = 6n + 9\\
Common \: Difference \: (d) = a_{(n+1)} - a_n\\
= 6n + 9 - (6n+ 3)\\
= 6n + 9 - 6n - 3\\
= 9-3\\
\red{\boxed{\bold {Common \: Difference \: (d) =6}}} \\
Plug \: n = 5 \: in\: a_n= 6n +3\: we \: find:\\
a_5= 6\times 5+3= 30 + 3 = 33\\
\huge\purple {\boxed {a_5= 33}} \\[/tex]
5.1436 rounded to the nearest tenth
Answer:
5.1
Step-by-step explanation:
we have
5.1436
since 4 is less than five we cannot pass the 1 to 2
so it stays like
5.1
Find the area of the surface. The part of the surface z = xy that lies within the cylinder x^2 + y^2 = 9
Answer:
The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
Step-by-step explanation:
Given that,
The equation of cylinder is
[tex]x^2+y^2=9[/tex]
The part of the surface z = xy
The coordinates is,
[tex]z_{x}=y[/tex]
[tex]z_{y}=x[/tex]
We need to calculate the value of ds
Using formula of ds
[tex]ds=\sqrt{1+z_{x}^2+z_{y}^2}dA[/tex]
Put the value in to the formula
[tex]ds=\sqrt{1+y^2+x^2}dA[/tex]....(I)
We know that.
The polar coordinates,
[tex]x=r\cos\theta[/tex]
[tex]y=r\sin\theta[/tex]
The general equation of cylinder is
[tex]x^2+y^2=r^2[/tex]
compare from given equation
[tex]x^2+y^2=3^2[/tex]
0<=θ<=2π, 0<=r<=3
Area element in polar coordinates is,
[tex]dA=r dr d\theta[/tex]
Put the value of dA in equation (I)
[tex]ds=\sqrt{1+r^2}r dr d\theta[/tex]....(II)
We need to calculate the area of surface
Using equation (II)
[tex]s=\int_{0}^{2\pi}\int_{0}^{3}\sqrt{1+r^2}r dr d\theta[/tex]
[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+r^2)^{\frac{3}{2}})_{0}^{3}d\theta[/tex]
[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+3^2)^{\frac{3}{2}}-(1+0^2)^{\frac{3}{2}})d\theta[/tex]
[tex]s=(\dfrac{1}{3}((10)^{\frac{3}{2}}-1)\theta)_{0}^{2\pi}[/tex]
[tex]s=\dfrac{1}{3}(10^{\frac{3}{2}}-1)(2\pi-0)[/tex]
[tex]s=\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
Hence, The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
A farmer owns 28 acres of land . Of the 28 acres only 65% can be formed .how many acres Are available for farming ?
18.20 acres
Step-by-step explanation:28×65% =
= 28×65/100
= 1820/100
= 18.20 acres
PLS HELP ME SOLVE AND PROVIDE WORK!!!! ASAP
Answer:
-2
Step-by-step explanation:
because it is tilted so z+4 +2 so -2+4=2
is 3 2/3 a whole number is it an integer is it an irrational number is it a rational number
Can you solve (x-2)(x+3)=5 by solving x-2=5 and x+3=5? Explain
Will MARK BRAINLIEST
Answer:
Yes you can.
Step-by-step explanation:
You can because you can just subsitute x-2=5 and x+3=5 into the equation.
Answer:
x=3±/5
Step-by-step explanation:
i don't actually know how to do certain symbols sorry but i hope you know what this means
Two jugs and 4 bottles hold 40 ounces. One jug and 3 bottles hold 25 ounces. How many ounces does 1 jug hold?
Answer:
5 ounces
Step-by-step explanation:
Let the capacity of jug be j, bottle be b
[tex]2j + 4b = 40 \\ j + 3b = 25 \\ j = 25 - 3b \\ \\ therefore \: 50 - 6b + 4b = 40 \\ 2b = 10 \\ b = 5[/tex]
Five numbers has a mean of 12. When one (1) number is removed the mean is 11. What is the value of the number removed?
Answer:
16
Step-by-step explanation:
The mean of a group of values is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given 5 numbers with a mean of 12, then
[tex]\frac{sum}{5}[/tex] = 12 ( multiply both sides by 5 )
sum = 60
let the number removed be x , then
[tex]\frac{60-x}{4}[/tex] = 11 ( multiply both sides by 4 )
60 - x = 44 ( subtract 60 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
The number removed was 16
Solve the system using elimination.
7x + 10y = 27
X-10y = -19
The solution is
(Simplify your answer. Type an ordered pair.)
The solution is (1,2)
Step-by-step explanation:
7x + 10y = 27
x - 10y = -19 +--------------------
8x = 8
Divide by 8 on both sides
x = 1
To find y substitute any of the equations to 1
7(1) + 10y = 27
7 + 10y = 27
Substract 7 from both sides
10y = 20
Divide by 10
y = 2
PLZ NEED HELP A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question.
Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
a.0.6748 centigrams
b.6.748 centigrams
c.67,480 centigrams
d.674,800 centigrams
Answer:
d. 674,800
Step-by-step explanation:
1 dekagram is equal to 1,000 centigrams so I multiplied 674.8 by 1000
Hope this helps, have a great day:)
Answer:
The answer is 674800 centigrams
Step-by-step explanation:
How many dekagram in 1 centigram? The answer is 0.001.
I assume you are converting between dekagram and centigram.
You can view more details on each measurement unit:
dekagram or centigram
The SI base unit for mass is the kilogram.
1 kilogram is equal to 100 dekagram, or 100000 centigram.
Note that rounding errors may occur, so always check the results.
Use this page to learn how to convert between dekagrams and centigrams.
Type in your own numbers in the form to convert the units! Hope this helps!
-5(5 – 2x) = -95
show work and all steps please
Answer:
x = -7
Step-by-step explanation:
See the photo attached.
-2x+3-(5-6x) simplify please
Answer:
4x-2
Step-by-step explanation:
First, distribute the minus sign.
-2x+3-(5-6x)
-2x+3+ -1(5)+ -1(-6x)
-2x+3+ (-5) + (6x)
-2x+3-5+6x
Next, combine like terms.
-2x+3-5+6x
(-2x+6x)+(3-5)
4x+(-2)
4x-2
Answer:
4x - 2
Step-by-step explanation:
-2x + 3 - -5 + 6x ( First distribute the parenthess and apply minus-plus rules making it -2x+3-5+6x )
-2x + 6x + 3 - 5 ( Group the equation like this putting like terms together)
4x + 3-5 ( From there add -2x and 6x- like terms to get 4x)
4x -2( After that subtract 3-5 ad the answer is -2)
THE FINAL ANSWER BECOMES 4x - 2
HOPE IT HELPED
Multiply. 1/4 x 2/5 Express your answer in simplest form. 1/3 1/10 2/9 3/20
Answer: 1/10
Step-by-step explanation:
1/10 which means that 2/9 Was the wrong answer
Solve the inequality. 6x + 14 > 20
???????
Answer:
x > 1
Step-by-step explanation:
6x + 14 > 20
-14 -14
6x > 6
/6 /6
x>1
what is does p equal if 8-p = -12 -3p
Answer:
8-p=-12-3p
8+12-p = -3p
20 = -3p + p
20 = -2p
20/-2 = p
-10 = p
ans. p = -10
...
help me please this is late
To find explicit formulas, you need two things. The common difference and the first term.
For example, #18
The first term = -15
The common difference = -20 -(-15) = -20 + 15 = -5
y = A + B(n - 1)
A = our first term
B = our common difference
n = the term you want to find in the sequence.
Leta plug our numbers in from #18
y = -15 + -5(n - 1)
Let's find the 4th term in the sequence.
y = -15 + -5(4 - 1)
y = -15 + -5(3)
y = -15 + -15
y = -30
Stop & Shop is having a sale on paper towels: 5 rolls for $3. How much will 7 roll(s) cost?
Answer:
4.2 rightttttrttr or no
3. Casey wants to do some baking. She has 6 cups of flour. One of the recipes she wants
to make calls for 3 cups of flour. Another recipe calls for cup of flour. The final recipe
calls for 2 cups of flour.
Will Casey have enough flour to make all three recipes? If so, wills she have any left
over? How much?
Step-by-step explanation:
assuming cup of flower means 1 cup of flower
3+2+1=6
She has enough to make the three recipes and she has nothing left over
if f(x)=2x-1, what does f(10) equal
Answer:
f(10) = 19Step-by-step explanation:
f(x) = 2x - 1
To find f(10) substitute the value of x that's 10 into f(x). That is for every x in f (x) replace it with 10
We have
f(10) = 2(10) - 1
= 20 - 1
We have the final answer as
f(10) = 19Hope this helps you
How much is X? NEED HELP RIGHT NOW 20 POINTS!!!
When 3.9 is added to 6 times a number, the result is 57.3. Find the number
Answer: 8.9
Step-by-step explanation:
Let x = the number you are finding
SOLVE:
3.9+6x=57.3 ⇔ Given
6x=53.4 ⇔ subtract 3.9 on both sides
x=8.9 ⇔ Divide 6 on both sides
ANSWER:
The number is 8.9
x is a normally distributed variable with mean μ = 17 and standard deviation σ = 3 find:
a) P(x >21)
b) P(x < 15)
c) P(16 < x < 25)
Answer:
a)0.09176
b)0.22065
c)0.62551
Step-by-step explanation:
a) p(x>21) = p(z> (21-17)/3)=p(z>1.333) = 1-.90824= 0.09176 (subtracting from one because we are looking at the right side of the graph from the Z-table)
b)p(x<15) = p(z< (15-17)/3)=p(z<-.6667) = 0.22065
c)p(16 < x < 25)= (z(16-17)/3 < p < z(25-17)/3)= z(-.333) < p < z(2.667)=.99621 -.37070 = 0.62551
6+3.245
Find the sum
Answer:
9.245
Step-by-step explanation:
6 + 3.245 = 9.245
Answer: 9.245
have a nice day:) ;)
31-X + (2 x + 1)] = x - 1.
X =
Answer:
answer is X= 2/1 ×5+2 ok
Match each situation to the simulation that represents it.
Answer: rolling aa six sided die- fiona is deciding which forest
selecting a playing card- Athena has to select 1 student
spinning a spinner - Jenny isa picking a marble
Step-by-step explanation:
Answer:
Fiona- Rolling A Six-Sided Die.
Althea- Selecting A Playing Card From
The Hearts Suit.
Jenny-Spinning A Spinner Divided Into
Five Equal Sections
I don’t get thiss so can someone help me
Step-by-step explanation:
use algabraic expreshens it will help trust me
There are 61 centimetres of liquorice to be shared equally among 7 people. What length of liquorice will each person get?
Answer:
8.71428571
do 61 divided by 7. Simple math.
Answer:
8.714
Step-by-step explanation:
Divide 61 centimeters by the 7 people getting the liquorice to get 8.7142857143.
From here you can round.
I rounded to the thousandths place but you can also round it up to 8.71 or 8.7 or any other digit if it suits your answer.
Hope this helps!
You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter.
Answer:
24 m
Step-by-step explanation:
The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.
The lenght of the triangular garden = 16 - 10 = 6 m
Lenght of the height = 8 - 0 = 8 m
Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.
Coordinates of the two vertices = (10, 0) and (16, 8).
[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (10, 0) = (x_1, y_1) [/tex]
[tex] (16, 8) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(16 - 10)^2 + (8 - 0)^2} [/tex]
[tex] d = \sqrt{(6)^2 + (8)^2} [/tex]
[tex] d = \sqrt{36 + 64} = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
Length of fencing = 6 + 8 + 10 = 24 m