Answer:
we conclude that:
[tex]\frac{6}{6^{\frac{1}{4}}}=6^{\frac{3}{4}}[/tex]
Step-by-step explanation:
Given
The expression is
[tex]\frac{6}{6^{\frac{1}{4}}}[/tex]To determine
Simplify the expression
Simplifying the expression
[tex]\frac{6}{6^{\frac{1}{4}}}[/tex]
Apply the exponent rule: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]\frac{6}{6^{\frac{1}{4}}}=6^{1-\frac{1}{4}}[/tex]
Subtract the numbers: [tex]1-\frac{1}{4}=\frac{3}{4}[/tex]
[tex]=6^{\frac{3}{4}}[/tex]
Therefore, we conclude that:
[tex]\frac{6}{6^{\frac{1}{4}}}=6^{\frac{3}{4}}[/tex]
Find the y-intercept of the following equation. Simplify your answer.
7x - 8y = 8
y-intercept
Step-by-step explanation:
y intercept=(x=0)
7x-8y=8
7(0)-8y=8
-8y=8
y=8/-8
y=-1
Solve the equation 14 + 14p = 21 for p. A. 1/2 B. 1/3 C. 1/6 D. 1/8
Prove that -4x-3(3x-6)+8(2.5x+3.5) equals 7x+46 using distributive property and commutative property
Answer: 7x+46 is most definitely the correct answer , to actually prove you'd have to .
Step-by-step explanation:
simplify step-by-step.
−4x−3(3x−6)+8(2.5x+3.5)
Distribute:
=−4x+(−3)(3x)+(−3)(−6)+(8)(2.5x)+(8)(3.5)
=−4x+−9x+18+20x+28
Combine Like Terms:
=−4x+−9x+18+20x+28
=(−4x+−9x+20x)+(18+28)
=7x+46
Answer:
-4x-3(3x-6)+8(2.5x+3.5)
-4x-9x+18+20x+28
7x+46
A random sample of 27 fields of rye has a mean yield of 43.1 bushels per acre and standard deviation of 5.31 bushels per acre. Determine the 80% confidence interval for the true mean yield. Assume the population is approximately normal. Step 2 of 2 : Construct the 80% confidence interval. Round your answer to one decimal place.
Answer:
The 80% confidence interval = (41.8, 44.4)
Step-by-step explanation:
From the above question, the random number of samples is 27, this sample size is below 30, hence it is small.
To solve for this, we have use t score instead of confidence interval.
Degrees of freedom = 27 - 1 = 26
t score for 80% confidence interval = 1.315
The 80% confidence interval = Mean ± t score × standard deviation/√n
Mean = 43.1 bushels
Standard deviation = 5.31
Hence,
43.1 ± 1.315 × 5.31/√27
43.1 ± 1.3438116191
Hence:
43.1 - 1.3438116191
= 41.756188381
≈ 41.8
43.1 + 1.3438116191
= 44.443811619
Approximately ≈ 44.4
Therefore, the 80% confidence interval = (41.8, 44.4)
Acellus Solve for c. 9 - V[?] C = Enter the number that goes beneath the radical symbol. 7 C 7 9 Enter i need help can you break it down for me
Answer:
[tex]c=\sqrt{130}\\[/tex]
Step-by-step explanation:
When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know a and b we can plug that in to find out what c could be but we won't actually solve it.
[tex]a^2+b^2=c^2\\7^2+9^2=c^2\\49+81=c^2\\130=c^2\\\sqrt{c^2}=\sqrt{130}\\c=\sqrt{130}[/tex]
So c would equal whatever the square root of 130 is.
Two of the steps in the derivation of the quadratic formula are shown below.
Step 6: = b^2-4ac/4a^2= ( x+b/2a )^2
Step 7: = +✔️b^2-4ac/2a= x + b/2a
Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7?
subtracting b/2a from both sides of the equation squaring both sides of the equation taking the square root of both sides of the equation taking the square root of the discriminant
Answer:
taking the square root of both sides of the equation
Step-by-step explanation:
The operation which is performed in the derivation of the quadratic formula moving from Step 6 to Step 7 is taking the square root of both sides of the equation.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given two steps in deriving the quadratic formula which is used to find the roots of a quadratic equation.
The first step is,
step 6 : (b² - 4ac) / (4a)² = (x + b / 2a)²
step 7 : ± √(b² - 4ac) / 2a = x + b / 2a
We have to find which step is done in between to transform from step 6 to step 7.
It is clear that square root is taken.
When the square root is taken in step 6,
±√[(b² - 4ac) / (4a)²] = √[(x + b / 2a)²]
√(b² - 4ac) / √(4a)² = √(x + b / 2a)²
± √(b² - 4ac) / 2a = x + b / 2a
Hence the step performed is taking the square root on both sides.
Learn more about Quadratic Formula here :
https://brainly.com/question/9300679
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25 points and brainliest
How many hours,minute,seconds in 7 days
Answer:
168 hours or 10080 minutes or 604800 seconds
Step-by-step explanation:
7days * 24 hours = 168 hours
168 hours * 60 minutes = 10080 minutes
10080 minutes * 60 seconds = 604800 seconds
r+-3.5=5.3 solve for r
Answer:
8.8=r
Step-by-step explanation:
You can solve the equation backwards and do 5.3+3.5=8.8
To check 8.8-3.5=5.3 (OR 8.8 + (-3.5) = 5.3
I HAVE 10 min to finish PLEASE I NEED HELP WITH MATH
Answer:
90 degrees
Step-by-step explanation:
If f(x) = 2x2 - 3, which expression represents f(x + 2)?
7x + 4y = 2
7x + 2y = 8
Answer:
x = 2 , y = − 3
Step-by-step explanation
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: ( 2 , − 3 )
Equation Form: x = 2 , y = − 3
the average motorcycle weighs 32,000 grams. How many kilograms does the average motorcycle weigh?
Answer:
The average motorcycle would weigh 32 kilograms.
Step-by-step explanation:
1 kilogram = 1000 grams
so, to find how many kilograms a motorcycle is, we just need to divide the amount of grams by 1000
32,000 / 1000 = 32 kg
It is now 13:29
There are 51 minutes left from the Chemistry lesson, followed by a 25-minute
break
When does the next lesson start after the break?
(0 O
14:20
sm
13:54
14:45
O
15:45
A 7-pack of DVDs costs $23.31. What is the unit price?
Answer:
3.33 is the unit price
Step-by-step explanation:
Houa is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $1.25 per mile driven. How much would a taxi ride cost if Houa is riding for 6 miles? How much would a taxi ride cost that is mm miles long?
Answer:
hint for the first part
Step-by-step explanation:
3.50+(1.25*6)=
what is 7 - x - ( -5x ) - 10 + 4x
Answer: 8x−3
Step-by-step explanation:
Let's simplify step-by-step.
7−x−−5x−10+4x
=7+−x+5x+−10+4x
Combine Like Terms:
=7+−x+5x+−10+4x
=(−x+5x+4x)+(7+−10)
=8x+−3
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Answer:
8 x -3
Step-by-step explanation:
because you do the equation on math w a y
!EASY! A two-story hotel has 20,000 square feet of space on the first floor for rooms and 35,000 square feet of space on the second floor for rooms. An average room is 16 ft x 20 ft. How many rooms do you have available?
a) 150
b) 165
c) 171
d) 178
Answer:
The correct answer is: c) 171
Step-by-step explanation:
In order to find the number of rooms first of all we have to find the area of a single room
Given that the dimensions of room is:
16 ft * 20 ft
The area of a room is: 320 square feet
So
Area for rooms on first floor = 200000 square feet
The number of rooms on first floor will be:
[tex]=\frac{20000}{320} = 62.5[/tex]
As the number of rooms cannot be in decimal and as we are dealing with floor area some area can be spared but no extra area can be added so the floor function will be applied which rounds off the number to previous whole number
Then number of rooms on first floor is 62
And '
Area for rooms on second floor = 35000 square feet
the number of rooms:
[tex]=\frac{35000}{320}\\=109.375[/tex]
Rounding off using floor function
Number of rooms on second floor = 109
Total number of rooms = 62+109 = 171
Hence,
The correct answer is: c) 171
These questions are harder than the ones from in person school PLEASE ANSWER!
Answer:
D
Step-by-step explanation:
Find the rate of change for this linear function.
y=−8x+5
Apples cost $0.98 per pound. How much would it cost
to purchase 5.5 pounds of apples?
Answer: $5.39
Step-by-step explanation:
0.98 x 5.5 = 5.39
Hope this helped ! :)
6x
:64=18:32
pls helo me am stuck
Answer:
384
Step-by-step explanation:
I think its 384 I say I think
Solve for v.
v-8.4= 6.62
Answer:
v-8.4=6.62 +8.4
v=15.02
Step-by-step explanation:
prove me wrong
Write the sentence as an equation.
k more than 156 is the same as 102
Answer:
156 + k = 102
Step-by-step explanation:
Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.
The total interest she paid on the loan was $170.
How much money did Lisa borrow?
Do not round any intermediate computations. If necessary, refer to the list of financial formulas.
Answer:
Lisa borrowed $8,500
Step-by-step explanation:
Simple Interest
Occurs when the interest is calculated on the original principal of a loan only.
Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=Prt
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.
We need to convert the time to years (there are 12 months per year):
t = 5 /12 years.
The formula must be solved for P:
[tex]\displaystyle P=\frac{I}{rt}[/tex]
Substituting:
[tex]\displaystyle P=\frac{170}{0.048*5/12}[/tex]
[tex]\displaystyle P=\frac{170}{0.02}=8,500[/tex]
Lisa borrowed $8,500
Answer:
Step-by-step explanation:
Suppose Austin, Texas, is hit by a tornado that destroys 25 percent of the housing in the area. Would you expect the total expenditure on housing after the tornado to be greater than, less than, or equal to what it was before the tornado
Answer:
greater than what it was before
Step-by-step explanation:
Remember, a tornado usually causes significant structural damages to houses within its area of impact., and this requires running expenses to repair the damage.
Hence, since the term expenditure, also implies expenses; we can expect the total expenditure on housing after the tornado to be greater than what it was before the tornado since families would be paying for repairs.
1344 dollars for 56 tickets How much for each ticket
Answer:
idc lolzzzzzz
Step-by-step explanation:
idc lolzzzzz
Will give brainliest ty
Answer:
B
Step-by-step explanation:
Sorry if it is incorrect
HELP ASAP PLS HELP FAST!!!!!
Is (-4, 2) a solution of 4x + 5y <-7?
Choose 1 answer.
А
Yes
B
No
Answer:
b
Step-by-step explanation:
NO
slope intercept form
.
