Answer:
( x^2 - 6 )^2
Step-by-step explanation:
x^4 -12x^2 +36Find one factorFactor by grouping(x^2 - 6x) (x^2 - 6x)*solution* ( x^2 - 6 )^2
A homeowner uses GGG hours of natural gas heat and PPP hours of heat from a pellet stove to heat her house one month, with a total of 575757 therms of output. How many therms per hour does the pellet stove output
Answer:
0.0792therms/hour
Step-by-step explanation:
Given
Total output per month = 57 therm of output
Required
Total output of the pellet stove in one hour
Since 1month = 24×30 = 720hours
Hence:
57therms = 720hours
x therm = 1hour
Cross multiply
720×x = 57
x = 57/720
x = 0.0792 therms/hr
Hence the pellet stove use 0.0792therms/hour
3 1/2 x 1 1/3
Please explain how to get the answer
Answer: 77/3 or 25.67
Step-by-step explanation:
3 1/2 * 11/3
3 * 2+1=7
7/3 * 11/3
7 * 11= 77
3 stays the same
77/3 or 25.67
Answer:
4 2/3
Step-by-step explanation:
You need to turn the fractions into improper fractions
To do that you multiply the whole number by the denominator and add the numerator, doing that will give you your new numerator, but the denominator stays the same
3 1/2. 3×2 = 6. 6+1=7 3 1/2 = 7/2
1 1/3. 1×3 = 3. 3+1 = 4. 1 1/3 = 4/3
Then multiply both numerator by each other and do the same for the denominators
7×4 = 28
2×3 = 6
28/6
Then simply it
28/6 = 4 2/3
Linear Inequalities Unit Test answers please I cant figure out almost all of it im from pearson online academy and ive been studying for weeks but still dont understand the material
Answer:
without any questions i cant answer
Step-by-step explanation:
If z = 1 + StartRoot 3 EndRooti, what is z5? 16 + 16StartRoot 3 EndRoot i –16 + 16StartRoot 3 EndRoot i –16 – 16StartRoot 3 EndRoot i 16 – 16StartRoot 3 EndRoot i
Answer:
The answer is C
Step-by-step explanation:
Correct answer shown on edge
The power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have:
z = 1 + √3i
We have to find: z⁵
z⁵ = (1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)(1 + √3i)
z⁵ = (-2 + 2√3)(1 + √3i)(1 + √3i)(1 + √3i)
[tex]\rm z^5=\left(2\sqrt{3}-2\right)+2\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)(1+\sqrt{3}i)[/tex]
[tex]\rm =\left(-4\sqrt{3}+4\right)+4\left(3-\sqrt{3}\right)i(1+\sqrt{3}i)[/tex]
z⁵ = (-16√3 + 16) + 4(-√3 + 3)i
Thus, the power of 5 of complex number z is (-16√3 + 16) + 4(-√3 + 3)i
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ2
Select the procedure that can be used to show the converse of the Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet
Answer: B
Step-by-step explanation:
I got it on Aprx
The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle. Then the correct option is B.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet.
Then
5² = 3² + 4²
25 = 9 + 16
25 = 25
The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle.
Then the correct option is B.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
Courtney walks 1 mph slower than Brandi does. In the time that it takes Brandi to walk 6.5 mi, Courtney walks 5 mi. Find the speed of each person
Answer:
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
Step-by-step explanation:
Let x = Courtney's walking speed
then
(x + 1) = Brandi's walking speed
:
Time = Distance/speed
Brandi walks 6.5 mi time = Courtney walks 5 mi time
6.5/x + 1 = 5/x
Cross multiply
6.5x= 5(x+1)
6.5x= 5x + 5
6.5x - 5x = 5
1.5x = 5
x = 5/1.5
x = 3.33 mph is Courtney's walking speed
Note that:
(x + 1) = Brandi's walking speed
3.33mph + 1 = 4.33mph
Therefore,
Courtney's walking speed = 3.33mph
Brandi's walking speed = 4.33 mph
The Courtney's walking speed = 3.33 mph. Brandi's walking speed = 4.33 mph.
We have given that,
[tex]6.5x - 5x = 5[/tex]
Courtney's walking speed = 3.33 mph
Brandi's walking speed = 4.33 mph
Let x = Courtney's walking speed
then (x + 1) = Brandi's walking speed
What is the formula time?Time = Distance/speed
Brandi walks 6.5 mi time = Courtney walks 5 mi time.
[tex]6.5/x + 1 = 5/x[/tex]
Cross multiply
[tex]6.5x= 5(x+1)[/tex]
Simplify parenthesis right side
[tex]6.5x= 5x + 5[/tex]
1.5x = 5
Isolate x.
x = 5/1.5
x = 3.33 mph is Courtney's walking speed
(x + 1) = Brandi's walking speed
3.33 mph + 1 = 4.33 mph
Therefore,Courtney's walking speed = 3.33 mph
Brandi's walking speed = 4.33 mph
To learn more about the speed visit:
https://brainly.com/question/4931057
Please help I need this answered now
Answer:
D
Step-by-step explanation:
8^2 +12^2 = hyp ^2
64 +144 = hyp^2
208 =hyp ^2
Hyp = 4 root 13
x = sqaureroot of ( 18^2 + (4 root 13)^3)
x = sqaureroot of (324 +208)
x = sqaureroot of 532
x = 2 root 133
x = 23.065
x = 23
Please gimme brainliest
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 5 years, how long will it take to triple?
Answer:
[tex]t=7.85 years[/tex]
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
[tex]\frac{dP}{dt}=aP[/tex]
Where a is proportional constant, P the population variable, and t the time.
[tex]\frac{dP}{P}=adt[/tex]
Integrating each side of the equation.
[tex]\int \frac{dP}{P}=\int adt[/tex]
[tex]ln(P)=at+c[/tex]
[tex]P=e^{at+c}[/tex]
[tex]P=e^{c}e^{at}=Ce^{at}[/tex]
To find C we need to use the initial condiction, it means evaluae P at t=0.
[tex]P_{0}=Ce^{0}=C[/tex]
[tex]P=P_{0}e^{at}[/tex]
Now, we use the sentence the population has doubled in 5 years.
[tex]2P_{0}=P_{0}e^{a5}[/tex]
We can find "a" in this condition.
[tex]2=e^{a5}[/tex]
[tex]ln(2)=a5[/tex]
[tex]a=\frac{ln(2)}{5}[/tex]
[tex]a=0.14[/tex]
Finally, let's find how long will it take to triple.
[tex]3P_{0}=P_{0}e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
[tex]t=\frac{ln(3)}{0.14}[/tex]
[tex]t=7.85 years[/tex]
I hope it helps you!
Find all solutions to the equation.
7sin2x - 14 sin x + 2 = -5
Answer:
Step-by-step explanation:First, group and combine like terms:
x
3
+
2
x
2
+
7
x
2
+
14
x
→
x
3
=
(
2
+
7
)
x
2
+
14
x
x
3
+
9
x
2
+
14
x
Next, factor out an
x
from each term in the expression:
(
x
⋅
x
2
)
+
(
x
⋅
9
x
)
+
(
x
⋅
14
)
→
x
(
x
2
+
9
x
+
14
)
Because
7
+
2
=
9
and
7
⋅
2
=
14
we can factor the quadratic term as:
x
(
x
+
7
)
(
x
+
2
)
Solve
4(3x − 2) = 52
Answer:
x=5
Step-by-step explanation:
4×3x=12x
4×-2=-8
(12×x)-8=52
So you balance it to make it:
12x=60
60÷12=5
I hope this helps and please give brainliest and thank me
Step-by-step explanation:
Open bracket
use 4 to multiply what is in the bracket
12x - 8 = 52
collect like terms (CLT)
12x = 52 + 8
12x = 60
divide both sides by 12
x = 5
HELP! ASAP!! Will Mark brainliest!
Answer:
The Answer is D.
Step-by-step explanation:
The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.
Where another question helpppppppp plssssss
Answer:
41.1 = dekagrams
4.14 = hectograms
0.414 = kilograms
Answer:
I agree with the other person
Step-by-step explanation:
Find the slope of the line through each pair of points
(1, -19), (19, -2)
A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is 1/3?
1. 7
2. 12
3. 6
4. 9
5. 11
Answer:
7
Step-by-step explanation:
what is the value of x?
Answer: The horizontal value in a pair of coordinates how far along the point is. The X Coordinate is always written first in an ordered pair of coordinate (x,y), such as (12, 5).
Step-by-step explanation: Hope This Helps :)
For a example, the value 12 is the X coordinate. And Also called Abscissa.
The tables represent two linear functions ina system
What is the solution to this system?
(-13/3,-25) (-14/3,-54) (-13,-50) (-14,-54)
Answer: i think it’s option D i might be wrong
Step-by-step explanation: i think it’s option D i might be wrong
Justine drew a scale drawing of a house and its lot. The scale of the drawing was 1 inch : 6 feet. In the drawing, the backyard is 8 inches long. What is the length of the actual yard? QUICKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
Answer:
48 inches
Step-by-step explanation:
1 inch is 6 feet.
8 inches would be 48 feet.
A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.
Answer:
oof
Step-by-step explanation:
Blouse
The Alphabet
Find the perimeter of this quarter circle with radius
Find the perimeter of a quarter circle with radius, r = 80mm.
Give your answer as an expression in terms of π.
Answer:Perimeter of a quarter circle with radius
To find the perimeter of the quarter circle, find the circumference of the whole circle, divide by 4, and then add the radius twice. To find the radius when you are given the area of the quarter circle, multiply the given area by 4, then plug this number in for A into the formula A = pi * r^2 and then solve for r.
I HOPE THIS HELPS
Photo attached please help
Solve the equation. m + (–4) = –9 5 36 –5 –13
4m + 9 + 5m – 12 = 42. A. m = 5 B. m = 4 C. m = –5 D. m = -4
Help pleaseeeeeee I’m so lost
Answer:
yes no no yes
Step-by-step explanation:
Suppose that 6 out of the 19 doctors in a small hospital are General Practitioners, 9 out of the 19 are under the age of 45, and 3 are both General Practitioners and under the age of 45. What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 45
Answer:
12/19
Step-by-step explanation:
We have these events
A = Doctors are general practitioners
B = doctors are under the age of 45
P(A) = 6/19
P(B) = 9/19
P(A n B) = 3/19
Then the probability of being assigned a general practitioner under age 45
P(AuB)
= P(A) + P(B) - P(A n B)
= 6/19 + 9/19 - 3/19
= 12/19
So 12/19 is the probability of getting a general practitioner under age 45.
Which of the following are terms in this expression? Select all that apply.
2+8c+d+b
HELPPPPPP I HAVE 20 MINUTES LEFT
Answer:
2, 8, c, b, dStep-by-step explanation:
Terms are any numbers or variables that represent numbers. In other words, 2, 8, c, d, and b are all the terms of this expression.
Aubrey is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $4 each. How much total money would Aubrey have to pay for her family if she were to buy 3 snacks for everybody to share? How much would Aubrey have to pay if she bought x snacks for everybody to share?
Answer:
$51
Step-by-step explanation:
do 13*3 because of the 2 kids and the adult then add 12 because of the snacks
hope this helps
Answer:
51 and what?
Step-by-step explanation:
3 x 13 = 39 4 x 3 = 12
39 + 12 = 51
what is x supposed to be, sorry, i suck at variables
If the simple interest on $6,000 for 10 years is $5,400, then what is the interest rate?
Answer:
9%
Step-by-step explanation:
p*r*t = Interest
$6000*x*10 years = $5400
interest ÷ time ÷ principal = rate
5400 ÷ 10 ÷ 6000 = 0.09
0.09 = 9%
algebraic expression.
23 less than a number
plz help
Answer:
n-23
Step-by-step explanation:
hope that helps
In the rectangle, find the length of AD.
Answer:
required answer is 9 of your question
What do you do if the divisor (the number you're dividing
by) is greater than the dividend (the number that is
being divided)?
Answer:
you can use decimals
Step-by-step explanation:
Help me i don't understand this and i need a answer fast <3
Answer:
what grade r u in?
Step-by-step explanation: