What values of c and d make the equation true? assume x greater-than 0 and y greater-than-or-equal-to 0 startroot startfraction x superscript 6 baseline y cubed over 9 x superscript 8 baseline endfraction endroot = startfraction 5 y superscript c baseline startroot 2 y endroot over d x endfraction c = 1, d = 3 c = 1, d = 9 c = 2, d = 8 c = 2, d = 9
Answers
The values of c and d which makes the provided equation of variable x and y true is 1 and 3 respectively.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
The variable x is greater-than 0. Thus,
[tex]x > 0[/tex]
The variable y greater-than-or-equal-to zero. Thus,
[tex]y\geq0[/tex]
The given expression is attached in the image below, which is,
[tex]\sqrt{\dfrac{50x^6y^3}{9x^6}}={\dfrac{5y^c\sqrt{2y}}{dx}}[/tex]
Cancel out x⁶ term and solve it further with
[tex]\sqrt{\dfrac{(25\times2)x^6(y^2\times y)}{(3^2)(x^6\times x^2)}}={\dfrac{5y^c\sqrt{2y}}{dx}}\\\sqrt{\dfrac{(5^2\times2)(y^2\times y)}{(3^2)(x^2)}}={\dfrac{5y^c\sqrt{2y}}{dx}}\\{\dfrac{(5y)\sqrt{(2y)}}{(3x)}}={\dfrac{5y^c\sqrt{2y}}{dx}}[/tex]
Compare both the equation, we get,
[tex]5y=5y^c\\1=c[/tex]
[tex]3x=dx\\3=d[/tex]
Thus, the values of c and d which makes the provided equation of variable x and y true is 1 and 3 respectively.
Learn more about the unknown variable here;
https://brainly.com/question/1235185
Related Questions
please help quickly!! will give branliest
Answers
Answer:
10
Step-by-step explanation:
hope this helped have a nice day
What formula can we use to find the surface area of a rectangular prism? Question 4 options: SA = 2lw 2lh 2wh SA = 2lwh SA = πr2 SA = lw lh wh.
Answers
Check the picture below.
find all the zeros of the equation y=x^4+3x^3+x^2-12x-20
Answers
Answer:
x = 2, -2
explanation:
[tex]\sf y=x^4+3x^3+x^2-12x-20[/tex]
Find a factor for this equation:
-5 < x < 5
-------------
f(-3) = 25
f(-2) = 0
f(-1) = -9
f(0) = -20
f(1) = -27
f(2) = 0
f(3) = 115
Hence found that ( x -2) and ( x + 2) are the factor of the following equation.
Divide both by the following equation:
[tex]\sf \rightarrow \dfrac{x^4+3x^3+x^2-12x-20}{\left(x-2\right)\left(x+2\right)}[/tex]
[tex]\sf \rightarrow \dfrac{\left(x-2\right)\left(x+2\right)\left(x^2+3x+5\right)}{\left(x-2\right)\left(x+2\right)}[/tex]
[tex]\sf \rightarrow x^2+3x+5[/tex]
Using quadratic formula: [tex]\sf x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]
[tex]\sf \hookrightarrow x_{1,\:2}=\dfrac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}[/tex]
[tex]\hookrightarrow x=-\dfrac{3}{2}+i\dfrac{\sqrt{11}}{2},\:x=-\dfrac{3}{2}-i\dfrac{\sqrt{11}}{2}[/tex]
Thus the zero's of the function are:
x = 2, -2
Answer:
[tex]x=2, x=-2[/tex]; [tex]\frac{-3\pm i\sqrt{11}}{2} \in \mathbb{C}[/tex]
Step-by-step explanation:
Zeroes are found by setting the RHS = 0.
Since the quantity [tex]x^4+3x^3+x^2-12x-20[/tex] is a 4th degree polynomial there isn't a formula that gives us the solution, so we're stuck having to divide: to do so we make THE LIST: you list the divisors of the constant term without its sign (20: 1,2,4,5,10,20), the divisor of the lead coefficient (1), and you divide the first by the second in any possible way, adding a plus or minus:
[tex]\pm1, \pm2, \pm4, \pm5,\pm10,\pm20[/tex]. At this point you just have to check, replacing each one in the equation until you find two values that work (why two? You need to lower the degree of the polynomial by two, if you found only one you'd be stuck with a third degree equation which doesn't have an "easy" solving formula).
After some adding and multiplying you find that both 2 and -2 make the expression to zero. At this point you have two options
First is to divide the given expression by[tex](x-2)(x-2)=(x^2-4)[/tex] or, as I did in the image, notice that you will end up with a 2nd degree polynomial, whose coefficient you find by multiplying and confronting with the original equation.
Either way, you will end up with
[tex](x+2)(x-2)(x^2+3x+5)=0[/tex]
First two factors will give [tex]x=-2; x=2[/tex] respectively, while the third term has no real solutions (it still offers a pair of solutions in [tex]\mathbb{C}[/tex] which I'll add for the sake of completeness, but you're most likely required to look for real solutions only).
A student has an average score of 90 on four tests. If the student scored 88, 96 and 92 on the first three tests. What was the students score on the fourth tests
Answers
Answer:
84
Step-by-step explanation:
(92 + 96 + 88 + x) ÷ 4 = 90
92 + 96 + 88 + x/4 = 90
276 + x/4 = 90
(276 + x) × 4/4 = 90 × 4
276 + x = 360
x = 360 - 276
x = 84
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY
Which table represents the function y = 3x – 1?
Answers
Answer:
The fourth table
Step-by-step explanation:
3(0)-1=-1
3(1)-1=2
3(2)-1=5
Hope this helps :)
Somebody please help me with this please
Answers
Answer:
x = 52.2
Step-by-step explanation:
we have adjacent (56) and opposite (x) so we use tan (Toa = opposite/adjacent).
Set up like so:
tan 43 = x/56
x = 52.2208
x = 52.2
The sum of three consecutive even numbers is 144. Find the highest even number.( Take the lowest even number as 4x-2)
Answers
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-The sum of 3 consecutive even number is 144The lowest even number as 4x - 2 To Find :-We have to find the highest consecutive number. Let's Begin :-Here ,we have
The sum of three consecutive even numbers is 144[ Consecutive even numbers are the sequence of numbers that differ by 2 or that are divisible by 2 ]The lowest even number is 4x - 2Let the three consecutive number be
(4x - 2) , 4x , ( 4x + 2)
According to the question,
[tex]\sf{ (4x - 2) + 4x + ( 4x + 2) = 144}[/tex]
[tex]\sf{ 4x - 2 + 4x + 4x + 2 = 144}[/tex]
[tex]\sf{ 8x - 2 + 4x + 2 = 144}[/tex]
[tex]\sf{ 12x = 144}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 144}{12}}}[/tex]
[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 144}{12}}}}[/tex]
[tex]\sf{ x = 12 }[/tex]
Thus, The value of x is 12
Therefore,
The three consecutive even numbers are
[tex]\sf{ 4x - 2 = 48 - 2 = 46 }[/tex][tex]\sf{ 4x = 48 }[/tex][tex]\sf{ 4x + 2 = 48 + 2 = 50 }[/tex]Hence, The highest consecutive even number is 50 .
The outside service area of a cereal box and printed with texts and pictures what is the surface area in square inches of a box that is 2 inches wide 7 inches long and 10 inches tall
Answers
Draw a number line to represent the inequality
y < 3
Answers
Answer:
< means y is smaller than 3, it's not equal, so it's open dots.
(number line see the attach image.)
combine like terms 4(p+3)-8
Answers
man i don't know
Step-by-step explanation:
i hope it's like 20 ? i guess it's 20
Answer:
4(p+1)
Step-by-step explanation:
1. In ∆MNO, what is the included side of <M and <O?
2. In ∆ABC, what is the included angle of sides AB and AC?
Answers
Answers:
Segment MOAngle A====================================================
Explanation:
The included side between two angles is simply the segment with the endpoints mentioned. So we involve endpoints M and O to form segment MO. This is the same as saying segment OM. The order doesn't matter.The angle between two sides involves the shared letter. For sides AB and AC, that shared common letter is A. Therefore, angle A is the included angle between the sides. We can refer to it as angle BAC or angle CAB, but angle A should suffice as a name assuming there aren't any other letters as part of the diagram.Students are making the scenery for a school play. They use a large piece of plywood
to represent the front of a house, with a semicircular window cut out. Now they need
to paint the plywood. Find the area that will be painted.
1. List the shapes that make up the front of the house. (2 points)
2. Describe your strategy for finding the area that needs to be painted. (2 points)
3. Find the area for f each shape. Use 3.14 for n (4 points)
4. What is the total area to be painted? (2 points)
Please help me find the answers and shiw your work step by srep for eac question to get to the answer please and ill guve brainlist and some points please answer quickly!!!
Answers
Answer:
57.72 in^2
Step-by-step explanation:
Question 1. Shapes are triangle, semi-circle, and rectangle.
Question 2.Find area of rectangle first. Then area of triangle and circle. Subtract area of triangle and circle. Then add the difference with the rectangles area.
Question 3.
Rectangle's area:48 in^2
Triangles area:8*4/2= 16 in^2
Circle Area: pi*r^2/2(since its a semi-circle)
3.14*2^2=3.14*4=12.56/2=6.28 in^2
Question 4.
16-6.28=9.72
9.72+48=57.72 in^2
Resolva a expressão: 6÷3+2•7
Answers
Step-by-step explanation:
What is the molar mass of an element?
the total number of particles in one gram of the element
the mass of 6.02 x 1023 representative particles of the element
the number of amus (atomic mass units) in 6.02 x 1023 moles of the element
1.0 gram divided by the atomic weight of the element
because 6 •|• 3 is 2 and 2•7 is 14 then add them together. 2+14=16
Jon Deposits $7,050 into an account paying 5% annual interest compounded quarterly and Sara deposits $4,867 into an account paying 10% annual interest compounded daily who will have more money after 1 year? How much more will that person have? Show and explain all work.
Answers
The person that would have more money at the end of the year is Sara.
Who would have more money?The formula that would be used to determine the future value of an amount is:
FV = P (1 + r/m)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of yearsJon = $7050 x (1 + 0.05/4)^4 = $7409.16
Sara = $4867 x (1 + 0.1 / 365)^365 = $5378.79
To learn more about future value, please check: https://brainly.com/question/18760477
Mr. Salam bought a 2½-pound wheel of cheese. His family ate ¼ of the wheel. How much cheese did they eat?
Answers
Answer:
5/16 of a pound
Step-by-step explanation:
2½ x ¼ = 5/4 × 1/4 = 5/16
Determine the values of the requested variables
Answers
Answer:
y = 24
angle V = 67
as a 4 sided shape, the angles all have to add up to 360 degrees.
we already have the answers for R, 120, and B, 53. We have 187 degrees left to work with.
Based of the information the tics on the sides of the figure gives us, we know that angle P and R are the same! First (just for fun, this isn't needed) we'll find X.
(x+95) = 120
-95 -95
x = 25
We know 3/4 angles now, so by subtracting their sum from 360, we'll find angle V!
360 - 53 -120 - 120 = 67
Angle V is 67
Now to find y!
(2y+19)=67
-19 -19
2y = 48
/2 /2
y = 24
Please help people!!! :D
Answers
Answer:
The answer is C
Step-by-step explanation:
Since the line above the letters is an arrow that means the two points have to create a line like that. Therefore, the answer is DB.
Answer:
DB
Step-by-step explanation:
Why others rejected?
E C
E and C are in cent res or at midpoint near area s .The correct name should be A FE B is rejected as points are not on one line
Complete the ratio table
Answers
Answer:
110
Step-by-step explanation:
101-86=15
95+15=110
110-15=95
Answer:
110
Step-by-step explanation:
In this problem, you are adding 15 to each Input to get the Output. That is why I added 15 to 95 in order to get 110.
Laura goes to a bank and opens a new account . She deposits $5,500. • The bank pays 1.6% interest compounded annually on this account • Laura makes no additional deposits or withdrawals. Which amount is the closest to the account balance at the end of 4 years? O A.$5,852.00
B. $5,860.53
C.$5,940.00
D.$5,954.31 $
Answers
Answer:
B
Step-by-step explanation:
formula= principal (1+(rate÷100))^number of years
5500(1+(1.6÷100))^4
5500 (1+0.016)^4
5500(1.016)^4
5500 (1.06555245)
5,860.53
$5,860.53
Ira can use the greatest common factor to rewrite 75+30 as
(5+
).
Answers
Answer:
Step-by-step explanation:
15(5+2) is the Answer
The greatest common factor to rewrite 75+30 as 15(5+2)
What is GCD?Greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
An expression is a combination of numbers, variables and operators.
The given expression is 75+30.
By using distributive law we can find this.
Let us find factors of 75 and 30.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 30 are 1, 3, 5, 9, 15, 45
Their GCF is 15.
To get 75, we will multiply 15 by 5.
To get 30, we will multiply 15 by 2.
By using distributive property
75+30 can be splitted to factors as
15(5+2)
Hence the greatest common factor to rewrite 75+30 as 15(5+2)
To learn more on GCD click:
https://brainly.com/question/27227228
#SPJ5
The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with their respective prices in 1983 and today. Item Price in 1983 ($) Current Price ($) Shower curtain 8. 85 15. 66 Floor rug 71. 25 119. 75 T-shirt 13. 95 23. 99 Oscillating fan 22. 75 37. 50 Using the prices shown on this chart, which of the following is a reasonable estimate of the current CPI? a. 164 b. 170 c. 185 d. 199.
Answers
The reasonable estimate of the current customer price index is 195. The option B is the correct option.
Customer price indexCustomer price index is the price index which measures the weight average of price of basket of customers goods or services.
It can be given as,
[tex]\rm CPI_t=\dfrac{C_t}{C_0}\times 100[/tex]
Here [tex]\rm C_t[/tex] is the cost of market basket in current period and [tex]\rm C_0[/tex] is the cost of market basket in the base period.
Cost of market basket in current period is
[tex]\rm C_t=15.66+119.75+23.99+37.50\\\\C_t=196.9[/tex]
Cost of market basket in 1983 is,
[tex]\rm C_0=8.85+71.25+13.95+22.7\\\\C_0=116.8[/tex]
Substitute all the values in the formula
[tex]\rm CPI_t=\dfrac{C_t}{C_0}\times 100\\\\\rm CPI_t=\dfrac{196.9}{116.8}\times 100\\\\\rm CPI_t=1.685\times 100 \\\\ CPI_t=168.5\\\\\rm CPI_t= 170 \ \rm approx[/tex]
Thus the value of current CPI is 168.5 which is near about the 170.
Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.
Learn more about the customer price index here;
https://brainly.com/question/25495502
Help ASAP I’ll give brainliest don’t answer of u do not know thank u Sm:)
Answers
2x – 20 < -14 please help i have to find the inequality and graph the solution
Answers
Answer:
x < 3
Step-by-step explanation:
Step 1: Add 20 to both sides.
[tex]2x-20+20 < -14+20[/tex] [tex]2x < 6[/tex]Step 2: Divide both sides by 2.
[tex]2x/2 < 6/2[/tex] [tex]x < 3[/tex]find the value of x If necessary, you may learn what the markings on a figure indicate.
Answers
Answer:
x=36°
Step-by-step explanation:
Find the answer with the theorems related to isosceles triangle and the exterior angle theorem
what is the measure of
Answers
Answer: B
Step-by-step explanation:
Barry and his sister went to lunch at Applebee's. The total bill was $21.60 and they left a $3.40 tip. Approximately what percent of the total bill did they leave as a tip?
Answers
Answer:
25.20
Step-by-step explanation:
Answer:
The answer is 0.7344
I'm not sure tho
pls help asap. i hate these questions
Answers
Answer:
5. 8
6. 5
7. 7
8. 6
9. 3
10. 4
Step-by-step explanation:
The unknown number is the the larger number divided by 10.
Like in #5 : 80 ÷ 10 = 8
HELPPPPPP :((( i am marking brainliest!
Answers
a) trapezoid
b) isosceles triangle
c) equilateral triangle
d) kite
There are 140 boys and 120 girls in a school. find the ratio of
i, boys to girls
ii, boys to the total number of students
iii, girls to the total number of students
i want process with answer
giving answer with process
making him/heras a brainlists
Answers
Answer:
i. 7:6
ii. 7:13
iii. 6:13
Step-by-step explanation:
boys to girls = 140:120 so we can simplify by 20 to get 7:6
boys to total = 140:(120+140) = 140:260 we can simplify again to get 7:13.
girls to total = 120:(120+140) = 120:260 we can also simplify to get 6:13
Please help me Asap thanks if you do!
Answers
Answer:
(A) 9
Step-by-step explanation:
Substitute 2 for X
[tex]7-(-2)=9[/tex]