8. For positive real numbers a, b, and c, the expressions albici and Vabac are equivalent. What are the values
of p, q, and r?
Answers
Answer:
Step-by-step explanation:
To find the values of p, q, and r in the expression albici = Vabac, we need to equate the corresponding parts on both sides.
From the given equation, we have:
p * (a * b) * (c * i) = q * (a * b * a * c)
Comparing the exponents of a, b, and c on both sides, we get:
p = q * a^2
1 = q * c
To determine the value of r, we can use the fact that albici and Vabac are equivalent. The radical symbol (√) represents taking the square root.
√(a * b * c * i) = √(a * b * a * c)
This implies that:
√(a * b * c * i) = √(a^2 * b * c)
Comparing the exponents of a, b, and c on both sides, we get:
1/2 = 2 * p * q * r
Combining all the equations, we have:
p = q * a^2
1 = q * c
1/2 = 2 * p * q * r
To find the specific values of p, q, and r, we need additional information or equations involving a, b, and c. Without more context or equations, it is not possible to determine the exact values of p, q, and r.
Related Questions
Shade 12 squares on the 4-by-10 grid.
What percent to is shaded?
Answers
On a 10 by 4 grid, there would be 40 squares. If you were to shade 12 of those squares, it can be shown as the fraction:
[tex]\frac{12}{40}[/tex]
12/40 = 0.3
to get a percentage, we would have to multiply by 100
30% is to be shaded
Answer: 30%
Step-by-step explanation:
Total number of squares: 4*10=40
Shaded squares: 12
Fraction of shaded squares: 12/40
If you make the denominator 100, then the numerator is the percentage:
[tex]\frac{12}{40} * \frac{2.5}{2.5}=\frac{30}{100}[/tex]
A tree casts a shadow 38 m long.
At the same time, the shadow cast by a 37 cm tall
statue is 75 cm long.
Find the height of the tree. Use correct units.
Answers
Answer:
Step-by-step explanation:
let the height of tree=h
[tex]\frac{h}{38} =\frac{37}{75} \\h=\frac{37}{75} \times 38 \approx 18.75 ~cm[/tex]
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Answers
Answer:
maybe 17% as u look at the question u will understand
I did:
40 x $23 = $920 to get the weekly amount for option A.
She needs to sell $575 to earn the same.
Because if you do
575 x 4/100 you get $23
Si un jarrón tíene 80 cm de altura ¿ cuantos milímetros mida
Answers
Si tiene 80 cm de altura mier 800 milímetros de altura
-1/4(d+1)<2
HELP ME PLEASE
Answers
Answer: u suck at math just dont do it duh
Step-by-step explanation: its five
A person has 10 Rap songs, 12 R&B songs, 23 Alternative songs, 10 Pop songs, 17 Country songs, and 18 Hip Hop songs stored on an MP3 player (a total of 90 songs). If the person set the MP3 player to random shuffle, what are the probabilities of the first song being played being a Country song?
A) .4888
B) .3888
C) .2888
D) .1888
Answers
Step-by-step explanation:
The percentage of 17 out of 90 is 18.88. When you move the decimal point over two places to make it a percentage out of one you get 0.1888
You are applying for an 80/20 mortgage to buy a house costing $100,000.
The first (80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What will the total
amount of the mortgage be?
Answers
Answer:
$200,703.60
Step-by-step explanation:
this is the is the answer, i used a tvm solver
emeril is building a cutting board for his home kitchen.He wants it to be similar in size to the cutting board at gis restaurant.His restaurant cutting board is 36 inches wide by 21 inches long .He has enough space on his home counter for a board that is 24 inches wide.How long will his home cutting board be?
Answers
Answer:
14 inches
Step-by-step explanation:
I say 14 inches because width for the board at the restaurant is 36 (3×12) and the length is (3×7) so if the width for the board at home is 24 ( 2×12) then the length must be 14 ( 2×7). See what I did?
His home cutting board will be 14 inches long.
Since Emeril is building a cutting board for his home kitchen, and he wants it to be similar in size to the cutting board at gis restaurant, which is 36 inches wide by 21 inches long, and he has enough space on his home counter for a board that is 24 inches wide, to determine how long will his home cutting board be the following cross multiplication calculation must be performed:
36 = 24 21 = X (21 x 24) / 36 = X 14 = X
Therefore, his home cutting board will be 14 inches long.
Learn more in https://brainly.com/question/24919859
Medians and IQRs. For each part, compare distributions (1) and (2) based on their medians and IQRs. You do not need to calculate these statistics; simply state how the medians and IQRs compare. Make sure to explain your reasoning. (a) (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20 (b) (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9 (c) (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10 (d) (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000
Answers
For each part, compare distributions (1) and (2) based on their medians and IQRs. The reasoning is explained is given.
What is median?The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.
The middle number in the distribution of the provided data is known as the median. The range of values in the center of the scores is known as the interquartile range, or IQR.
(a). (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20
Since all the values are identical except the highest, the distributions' median and IQR will be equal.
(b). (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9
The median is higher for the second distribution because in the case of (2) the middle number is larger.
Since the final few digits in the second distribution are higher, the IQR would be wider for the second distribution, resulting in a greater third quartile for the second distribution than the first distribution.
(c). (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10
Given that every number in the second distribution is greater than every other number in the first distribution, the median of the second distribution is higher than that of the first distribution.
Since there are the same number of items in both distributions and each number in both distributions is 1 larger than the preceding number, the IQR of both distributions would be identical.
(d). (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000
Since all the values in the second distribution are higher than those in the first in this situation, the second distribution will have a higher median. Given that the spread of the numbers is wider in the second distribution than it is in the first, the second distribution will likewise have a higher IQR.
Therefore, the reasoning is explained.
To learn more about the median;
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15 POINTS! GIVE REAL ANSWERS PLEASE. HELP WOULD BE MUCH APPRECIATED THANKS!
Which algebraic expression does this model represent?
*IMAGE LINKED*
4x+16
4(x+3)
x+34
-4(x+3)
Answers
Answer:
It would be 4(X + 3)
Step-by-step explanation:
There are 4 Xs and 12 ones, so the equation is 4X + 12 or 4(X + 3).
I need help plzzzzzzzzzz
Answers
Answer: The perimeter of the triangle is 33b - 8
Step-by-step explanation:
Anna and josh are putting up lights for a party. For every 4 blue lights they put up 2 red lights. If they put up 120 lights. How many are blue?
Answers
Answer:
80 blue
Step-by-step explanation:
r=red
b=blue
4b+2r=6 lights in one light cluster
120/6=20 clusters
20 clusters of 4 blue lights =80
y = 5x – 22
3x + 2y = 34
Answers
Answer:
y = 5x – 22
3x + 2y = 34
Step-by-step explanation:
Answer:
x = 6, y = 8
Step-by-step explanation:
[tex]y=5x-22\\3x+2y=34\\\\3x + 2(5x-22)=34\\3x + 10x - 44 = 34\\13x - 44 = 34\\13x = 78\\x = 6\\\\y = 5*6-22\\y = 30-22\\y = 8[/tex]
y + 51 = 99, what is y?
Answers
Answer:
y + 51=99
replace the y with 99
then it becomes 99 - 51
y=48
determine the amount of an investment if $500 is invested at an interest rate of 4.25% compounded quarterly for 12 years
Answers
what is the value of 4 in 204?
Answers
Step-by-step explanation:
its on one's place
204 = 2× 100 + 4× 1
4 = 4 × 1
Simplify to create an equivalent expression.
2(−2−4p)+2(−2p−1)
Choose 1 answer:
(Choice A)
A
-12p-6
(Choice B)
B
-10p-6
(Choice C)
C
-12p+6
(Choice D)
D
12p-6
Answers
Answer:
choice A
Step-by-step explanation:
-8p-4p - 4 - 2
= -12p-6
Subtract. 28.5−2.7 help
Answers
Answer:
25.8
Step-by-step explanation:
A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?
A.
This line is parallel to the line whose equation is y = 2x – 7.
B.
The line has a positive slope.
C.
The y-intercept is 7.
D.
The point (1, 4) lies on the line.
Answers
Step-by-step explanation:
alignment in represented by erosion by which a statement both lights it's true that this line is a parallel that two parallel whose the equation is do you audio will be that a googlmy answer if two line was station then represented by equation allowed is a representation equation the by represented is a
which expression represents the product of 83 and x
83+x
83÷x
83x
83-x
Answers
5. Round 16.975 to the nearest hundredths
A 16.10
B. 16.98 C. 16.20 D. 16.97
6. Encircle the letter of the number that rounds off to 10.85
A 10.859
B. 10.857 C. 10.851 D. 10.856
7. Which of the following order numbers from greatest to least?
a 3.756
37.56
375.6 0.3756
b. 0.2468
0.2486 0.2648 0.2846
C. 11.010
11.011 11.0110 1.1101
d. 2.86
2.75
2.68
2.56
Answers
Answer:
5. B
6. C
7. D
Step-by-step explanation:
hope this is correct and helps hehe
A bag of garden soil weighs 38 pounds and holds 4 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.
Answers
Answer:
The weight of 15 bags is 258.21 kilograms.
The volume of 15 bags is 2.222 cubic yards.
Step-by-step explanation:
Dimensionally speaking, a pound equals 0.453 kilograms and a cubic yard equals 27 cubic feet. We proceed to calculate the weight and the volume of 15 bags by following conversions:
Weight
[tex]x = 15\,bags \times \frac{38\,lb}{1\,bag}\times \frac{0.453\,kg}{1\,lb}[/tex]
[tex]x = 258.21\,kg[/tex]
The weight of 15 bags is 258.21 kilograms.
Volume
[tex]x = 15\,bags \times \frac{4\,ft^{3}}{1\,bag} \times \frac{1\,yd^{3}}{27\,ft^{3}}[/tex]
[tex]x = 2.222\,yd^{3}[/tex]
The volume of 15 bags is 2.222 cubic yards.
Anybody know how to do this??
Answers
Answer:
Second option: x= (23.5)(1.18)
Step-by-step explanation:
It has the total and the 1 for the tip to include the original price.
Answer:
option 2:- x= (23.5)(1.18)
Step-by-step explanation:
it includes the whole amount plus the tip to be paid after dinner..
someone help me with number 8
Answers
Answer:
The answers are...:
The common ratio is -3
the sequence of the function is 2,-6, 18, -54, 162
and
the sequence of the function model is geometric
I hope this helps ^^"
Step-by-step explanation:
the common ratio is just from the -3 itself
the sequence model is just plugging n for every term so
a(1) would equal to 2, a(2)=-6 , a(3) would equal to -18, etc
and the geometric is bc it has the exponential that has (n-1), thus it is a geometric sequence
two sixth times five
Answers
Answer:
1 4/6
Step-by-step explanation:Put 5 into a fraction (5/1) then time 5/1 times 2/6 and get 10/6 then covert it into a mixed number 1 4/6
3m+n=10
5m-2n=2
what is the answer for this one
Answers
Answer:
m = 2
n = 4
Step-by-step explanation:
Ok so to solve this, you want to get it so there is only one variable and then solve that equation. To do this, you can start by doing:
3m + n = 10
multiply both sides by 2
6m + 2n = 20
now, in both of your equations you have 2n so you can add the two equations:
6m + 2n = 20
+ 5m - 2n = 2
11m = 22
divide both sides by 11
m = 2.
Now, plug this value into the original equation, 3m + n = 10:
3 * 2 + n = 10
6 + n = 10
subtract 6 from both sides
n = 4
Simplify: 7^6 divided 7^2
Answers
Answer:
The answer is 1/3
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
~Hoped this helped~
an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.
Answers
Answer:
Height, h = 21 millimeters.
Step-by-step explanation:
Given the following data;
Volume = 8792mm³
Radius = 20 mm
To find the height;
We know that the shape of an anthill is conical in nature.
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.Substituting into the equation, we have;
[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]
[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]
[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]
[tex] 8792 = 418.93*h [/tex]
[tex] Height, h = \frac {8792}{418.93}[/tex]
Height, h = 20.99 ≈ 21 mm.
Therefore, the height of the cone is 21 millimeters.
please show work and solve (3x^2) (-2x^4)
Answers
Answer:
[tex]-6x^6[/tex]
Step-by-step explanation:
We have the expression (3x^2)(-2x^4) and are being asked to solve.
(3x^2)(-2x^4)
When we have this type of question with exponents, it may seem easier to try and solve/simplify the exponents, but here's an easier way, add the exponents and multiply the constant numbers.
Therefore :
2 + 4 are the exponents
^6
and 3 * -2 are the constant numbers
-6
-6x^6
[tex]-6x^6[/tex]
Solve: 3/7 * 6/11 * 2/3. Simplify if possible. Leave answer in improper format.
Answers
Answer:
Exact Form:
12 /77
Decimal Form:
0. 155844
Step-by-step explanation: