Answer:
Step-by-step explanation:
343: = 7 * 7 * 7
x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x
y^12: = y^6 * y^6
z^6: = z^3 * z^3
So the square root is
√343 = 7 √7
√x^9 = x^4√x
√y^12 = y^6
√z^6 = x^3
The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.
So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.
x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.
So the answer is
7 * x^4 * y^6 * z^3 * √7x
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!!
In the triangle shown, solve for X to the nearest degree.
Multiple choice!
Thank you!
Answer:
x=42°
Step-by-step explanation:
take x degree as reference angle
using tan rule
tan x=opposite/adjacent
tan x=9/10
tan x=0.9
x=[tex]tan^{-1}[/tex]0.9
x=41.98
x=42 degree
Answer:
41.987° which rounds to 42 degrees
Step-by-step explanation:
According to the general equation for conditional probability, if P(An B9 =
001 -
and P(B)
=
7
18
what is P(
AB)?
A. 5/7
B. 3/7
C. 4/7
D. 2/7
Solve the equation using the distributive property and properties of equality
3(x+6) = 18
What is the value of x?
6
7 1/2
14 1/2
30
Answer:
0
Step-by-step explanation:
3(x+6)=18
3x+18=18
3x=18-18
3x=0
3x/3=0/3
x =0
linar system in variables
-x-3y-2z=8,
-x+y+6z=,
x-9y-2z=4
Answer:
-x+y+6z=? You did not spcify so I just made it 0
x = -22/5, y = -4/5, z = -3/5
Step-by-step explanation:
Solve the following system:
{-x - 3 y - 2 z = 8 | (equation 1)
-x + y + 6 z = 0 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Subtract equation 1 from equation 2:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+4 y + 8 z = -8 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Divide equation 2 by 4:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Add equation 1 to equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
0 x - 12 y - 4 z = 12 | (equation 3)
Divide equation 3 by 4:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
0 x - 3 y - z = 3 | (equation 3)
Swap equation 2 with equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+y + 2 z = -2 | (equation 3)
Add 1/3 × (equation 2) to equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+(5 z)/3 = -1 | (equation 3)
Multiply equation 3 by 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+5 z = -3 | (equation 3)
Divide equation 3 by 5:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add equation 3 to equation 2:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y+0 z = 12/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Divide equation 2 by -3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add 3 × (equation 2) to equation 1:
{-x + 0 y - 2 z = 28/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add 2 × (equation 3) to equation 1:
{-x+0 y+0 z = 22/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Multiply equation 1 by -1:
{x+0 y+0 z = -22/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Collect results:
Answer: {x = -22/5, y = -4/5, z = -3/5
Consider the following sets of sample data: A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766 B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25 Which of the above sets of sample data has the larger spread
Answer:
Data B
Step-by-step explanation:
Given the data :
A: 20347, 20327, 22117, 21762, 20864, 20102, 21684, 20063, 21728, 21580, 21720, 20920, 21442, 20766
B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25
The spread of a data gives the variation in the data values of a given sample.
To obtain which data has the larger spread, we obtain the coefficient of variation. Which is the ratio of the standard deviation and the mean of the dataset.
(Standard deviation / mean) * 100%
Using calculator :
Data A :
Mean, x = 21101.5714
Standard deviation, s = 700.28925
Coefficient of Variation :
(700.28925 / 21101.5714) * 100% = 3.32%
Data B :
Mean, x = 4.24375
Standard deviation, s = 0.457006955
Coefficient of Variation :
(0.457006955 / 4.24375) * 100% = 10.77%
10.77% > 3.32%
Hence. Data B has a larger spread
g(x) = x2 – 2 (a) Identify the parent function f.
Answer:g(x) is flipped and 2 times as steep and shifted left 5
Step-by-step explanation:
please, this is the last time I'm asking, just help me with the Volume.
Answer: 4374
Step-by-step explanation:
Complete the input-output table for the function y = 3x.
Input-Output table
Answer:
Y: 0, x:0
Y:1, x: 3
Y: 2, x: 6
Y: 3, x:9
Step-by-step explanation:
Plug in the x to get the y
the students in charge of the class booth at a carnival would like to earn $3 for every item they sell. they spent $55 for the materials to make the items. solve the inequality 3x-55_>65 which represents how many items they need to sell to make profit of at least $65
Answer:
x ≥ 40
Step-by-step explanation:
3x - 55 ≥ 65
combine like terms
3x ≥ 65 + 55
3x ≥120
divide both sides of the equation by 3
x ≥ 40
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
AB =
cm
Answer:
48 ANS.
MAY IT HELPED U
Change fraction ( 11/4) from an improper fraction to a mixed number.
Answer:
Have a nice day :)
Step-by-step explanation:
To convert 11/4 into a mixed number, we need to divide 11 by 4 and get the values of quotient and remainder after performing division. When we divide 11/4, we get 2 as the quotient and 3 as the remainder. Now use the calculator to convert the following improper fractions to mixed fractions: 45/6
Francis borrowed $20 from his dad in the morning. Later, he gave his dad 8
dollars back. What rational number represents the overall amount of money Francis still owes his dad?
Answer:
13
Step-by-step explanation:
Francis borrowed 20$ and gives his dad 8$ he owes 12$ I hope it helps :)
Which of the following ordered pairs is a solution to the equation 4x+6y=12? Select all that apply. Select all that apply: (−3,4) (1,3) (−6,6) (−13,10) (0,2)
help me please lol this is an important grade
Answer:
YOUR ANSWER IS B
Step-by-step explanation:
The sum of triple a number and 5 is 40.
Marty decided he wants to run a 5K race. He is starting by running 1 3/4km and adding 1/2km each day. How many days will it take him to reach his goal?
Answer:
2day I think might not be right
The number of days it will take him to reach his goal is 6.5 days.
Given that, Marty decided he wants to run a 5 km race.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of days be x.
He is starting by running [tex]1\frac{3}{4} =\frac{7}{4}[/tex] km and adding 1/2km each day.
Now, 7/4 +1/2 x= 5
⇒ 1/2 x= 5-7/4
⇒ 1/2 x=13/4
⇒ x=6.5 days
Therefore, the number of days it will take him to reach his goal is 6.5 days.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Please help!!! Urgent ….
9514 1404 393
Answer:
ΔWZT ~ ΔWXY
Step-by-step explanation:
Angle XWY and angle ZWT are vertical angles, so congruent.
The sides on either side of those angles are proportional:
WZ/WX = WT/WY
11/22 = 10/20 = 1/2
so, we can claim similarity by the SAS Theorem.
ΔWZT ~ ΔWXY
I need help ASAP anyone
Answer:
90
Step-by-step explanation:
there is 6 sides of box
2 bigger and 4 smaller
area of bigger side is 5×5 = 25 this is the area of one side as we have 2 sides so are of both sides is 25 + 25 = 50
now come to the smaller sides ( we have 4 here)
are of one side is 2× 5 = 10
so are of all 4 sides is 10× 4 = 40
now we get area of 4 smaller sides and 2 bigger sides
total area of box is 40+ 50 = 90
hope you understand
120+12314543-900-90+12
Answer:
12313685 is the answer............happy to help u
Triple the sum of two and a number.
Answer: 3(2+x) or 3x+6
Step-by-step explanation:
Take this a step at a time
First is a sum of two and a number
set "a number" as x
sum of two and a number would be 2+x
triple it
3(2+x) or 3x+6
Answer:
3(x+2)
Step-by-step explanation:
Explanation:
The " sum of a number and 2
" means ADD them:
→ x+2
Triple that means multiply by
3
→ 3(x+2)
If f (x)
6x – 6 , find f (-1)
Answer:
-12
Step-by-step explanation:
f (x)=6x – 6
Let x= -1
f(-1) = 6(-1) -6
= -6-6
= -12
Determine the radius of a cone that has a volume of 155.521 cubic inches and a height of 9 inches.
Answer:The answer is 4.06
Step-by-step explanation:
Okay I am 98% sure my math could be wrong since I don’t know what the possible answers to the question are but this is what I got.
the ratio equivalent to 3:4.
Answer:
33:44
Step-by-step explanation:
4*11=44
3*11=33
What is the value of (–7 + 3i) – (2 – 6i)?
–9 + 9i
–9 – 3i
–5 – 3i
–5 + 9i
Answer:
- 9 + 9i
Step-by-step explanation:
(- 7 + 3i) - (2 - 6i)
- 7 + 3i - 2 + 6i
- 7 - 2 + 9i
- 9 + 9i
Helpppp me with explanation also please:(((((
Answer:
x=7/3
Step-by-step explanation:
3x2y=5 equation 1
3x-2y=9 equation 2
6x=14 add above 2 equations which eliminates y
x=14/6
x=7/3
Select the correct answer. Which graph represents the solution to the inequality?
Answer:
A
Step-by-step explanation:
First you simplify both sides to get -2.4x+14.4 > 52.8
then you need to subtract the 14.4 from both sides giving -2.4x> 38.4
then divide both sides by -2.4 giving an answer of
x is less than or equal to -16 meaning you point to the left with a closed circle
if 2 newspapers cost 3 dollars how much does 1 newspaper cost
Answer:
x = 1.50
Step-by-step explanation:
We can use a ratio to solve
2 papers 1 paper
------------- = --------------
3 dollars x dollars
Using cross products
2x = 3*1
2x=3
Divide by 2
2x/2 = 3/2
x = 1.50
Answer:
$1.50
Step-by-step explanation:
example;
2/3=1.50
Have a great day <3
equation of the line that has a slope of - 1/2and passes through the points (4,5)
Answer:
y=-1/2x+7
Step-by-step explanation:
I think its that
Answer:
y = (1/2) x + 3
Step-by-step explanation:
The equation of linear functions is y = m x + b
In this case, we know m = 1/2 , and have point (4,5). We only need to find our y-intercept or b value.
What we can do is substitute what we know into our formula which will give us variable b, or the y-intercept. That will look like:
5 = (1/2) * 4 + b
5 = 2 + b
3 = b
So, the equation is y = (1/2) x + 3 :)
what is the measure of <B, in degrees.
Answer:
32
Step-by-step explanation:
The base angles of the triangle are the same since the sides are the same
<C = 74
A+B+C = 180 since the sum of the angles of a triangle = 180
74+B+74=180
Combine like terms
148+B =180
B = 180-148
B = 32
Answer:
[tex]\text{A. }32^{\circ}[/tex]
Step-by-step explanation:
From the Isosceles Base Theorem, the two base angles of a isosceles triangle are equal. Therefore, [tex]\angle A=\angle C=74^{\circ}[/tex].
Since the sum of the interior angles of a triangle is always equal to 180 degrees, we can write the following equation:
[tex]\angle A+\angle B+\angle C=180[/tex]
Substitute [tex]\angle A=\angle C=74^{\circ}[/tex] into this equation to solve for [tex]\angle B[/tex]:
[tex]74+\angle B+74=180,\\\angle B=180-74-74=\boxed{32^{\circ}}[/tex]
10t+[tex]\geq[/tex]130+3.5t
Answer:
The answer is [tex]t\geq 20[/tex].
Step-by-step explanation:
To solve the inequality, start by solving for the variable [tex]t[/tex].
To solve for the variable [tex]t[/tex], subtract [tex]3.5t[/tex] from both sides. The inequality will look like [tex]6.5t\geq 130[/tex].
Then, divide both sides by 6.5 in order to get the variable [tex]t[/tex] by itself. The inequality answer will look like [tex]t\geq 20[/tex].
