What values of c and d make the equation true? mc011-1.jpg c = 2, d = 2 c = 2, d = 4 c = 6, d = 2 c = 6, d = 4

Answers

Answer 1
If the equation is ∛(162x^cy^5) = 3x²y(∛(6y^d)
We can simplify the equation by first cubing both sides
            = 162x^cy^5 = (27x^6y^3)6y^d
            = 162x^cy^5 = 162 x^6y^3y^d
dividing both sides by 162
           = x^cy^5 =x^6y^3y^d
      equating the values with similar bases
   x^c = x^6, therefore c=6
and y^5=y^3y^d
        y ^5 = y^(3+d)
hence, 5 = 3+d
thus, d= 2
Therefore, the values of d and c that will satisfy the equation are, c =6 and d=2 
Answer 2

The answer is C.

c=6  d=2


Related Questions

Let a(−9, 4) and b(3, −12) be points in the plane. (a) find the slope of the line that contains a and
b.

Answers

the answer would be m= -4/3

Slope of the line = -4/3

What is slope?

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,

The slope of line is the measure of steepness or the direction of line the coordinate plane.

m = Δy/Δx

where, m is the slope

Given,

A = (-9,4)

B = (3, -12)

Slope of line AB = (y - y')/(x-x')

                           = -12-4/3 - -9

                           = -16/12

Slope of line AB = -4/3

Hence, -4/3 is the slope of the line.

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Write a two-column proof
it says Given: the top number is 2x+6 and the bottom number is 96. Prove: x = 45
It's a little blurry sorry. Please help me I have never understood two-column proofs and they don't make sense to me
Thank you

Answers

Hello!

You just have to solve the equation and justify each step along the way:

2x + 6, 96       Given
96 = 2x + 6     Vertical angles are congruent
90 = 2x           Subtraction Property of Equality
45 = x             Division Property of Equality

And that's all there is to it! I hope this helps you. (:

In two or more complete sentences, define the key features of the graph below and explain how to write its equation using function notation.

Answers

The graph is a function of absolute value.
 This means that for each value of f (x) there are two possible values of x.
 The absolute value function is:
 f (x) = lxl
 y = f (x) - 2 shifts the graph 2 units down.
 y = f (x + 3) moves the graph 3 units to the right.
 Finally:
 The function that best fits this graph is:
 f (x) = l-x + 3l-2

Answer:

The function notation of the graph is f(x) = |x-3| - 2

Step-by-step explanation:

From the graph it is evident that it is the graph of the absolute value of the function i.e. f(x) = |x| and we know that 'Translation' is a transformation that shifts the graph of a function in any direction.

Now, as we can see that the graph is shifted towards the right of the y-axis at point x=3, this means that it is translated by 3 units to the right of y-axis.

Therefore, the function becomes f(x) = |x-3|.

Furthermore, it is also shifted downwards at the point x= -2, this means that it is translated by 2 units downward from the x-axis.

Hence, the new function is f(x) = |x-3| - 2.

It can also be seen from the figure below that the graph of above f(x) is same as that of the provided image.

A rectangular solid is dilated by a factor of 0.5.

How many times larger is the volume of the resulting solid than the volume of the original solid?



Enter your answer as a decimal in the box.

Answers

Answer:

0.125 took test

Step-by-step explanation:

Volume of the resultant solid will be 0.125 times of the original solid.

Volume scale factor of a rectangular solid:If the sides of a rectangle solid is dilated by a scale factor 'k',

        Volume of the solid will be given by the expression,

        Volume = (k)³(Volume of the original solid)

If a rectangular solid is dilated by a scale factor 'k' = 0.5

Volume of the resultant solid = (0.5)³(Volume of the original solid)

                                                = 0.125(Volume of the original solid)

       Therefore, volume of the resultant solid will be 0.125 times of the original solid.

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find the value of x

Answers

84 degrees is the answer

First, lets assign label to the interior angles of the triangle.
Since angle 130° and angle A are on the same straight line, they are supplementary angles; therefore:
[tex]130+A=180[/tex]
[tex]A=180-130[/tex]
[tex]A=50[/tex]

Next, angle B and angle 134° are also on the same straight line, so they are supplementary as well, which means:
[tex]B+134=180[/tex]
[tex]B=180-134[/tex]
[tex]B=46[/tex]

Now, to find angle C remember that the sum of the interior angles of a triangle is 180°; therefore:
[tex]A+B+C=180[/tex]
[tex]50+46+C=180[/tex]
[tex]C=180-50-46[/tex]
[tex]C=84[/tex]

Finally, we also know that angle [tex]x[/tex] and angle C are on the same line, so they are supplementary angles just like before; therefore:
[tex]x+C=180[/tex]
[tex]x+84=180[/tex]
[tex]x=180-84[/tex]
[tex]x=96[/tex]

We can conclude that the measure of our angle [tex]x[/tex] is 96°.

John bought 6 dumplings for $3.00.

Let x represent the number of dumplings purchased, and let y represent the total cost.

Graph the line that represents the proportional relationship.

Answers

just make the slope as 1/2 remember rise over run and start at 0

What is the future value of $1,600 in 17 years assuming an interest rate of 10 percent compounded semiannually?

Answers

Let
F--------------------> future value
P--------------------> present value 
r --------------------> interest rate per year
m ------------------ > number of compounding periods per year
t -------------------->  time in years. 
we know that
P=$1,600
t=17 years
m=2
r=10%------> 0.10

F=P(1+i)^n
where
i=r/m   ---------> 0.10/2=0.05
and
n=m*t------------> 2*17=34

F=1600*(1+0.05)^34=8405.36

the answer is $8405.36

how are solutions, roots, and x-intercepts of a quadratic related?

Answers

A quadratic equation has the form ax2+bx+c=0 and is represented by a parabola (graphically). The solution of a quadratic equation is based on find the roots, which are the x-intercepts of its graph. When it has double root, the vertex of the parabola is the intercept with the x axis. If the root is imaginary (the discriminant of a quadratic function is negative), it does not intercept the x axis. So, a quadratic equation can has: one root, two roots, or zero roots.

 You can solve a quadratic equation by factoring by applying a equation called "Quadratic formula", which is usually used when you can't factorize it. This formula is:

 x=(-b±√(b^2-4ac))/2a

Answer:

Step-by-step explanation:

The quadratic equation [tex]ax^2+bx+c=0[/tex]

The roots of quadratic equation is defined as that value when we substitute in the quadratic equation then we get zero.

Solution of quadratic equation is defined as that value of roots which substitute in the equation then we get zero.

x-intercept of the quadratic equation is defined as that  real  value of x on the x- axis  when we substitute in the equation then the value of equation becomes zero.

From the above definitions we can see that roots of quadratic equation can be imaginary or real but x- intercept value of equation is always a real value.

Solution is also called the value of roots but x- intercept is equal to roots when the value of roots is real.

Now, we can says that roots and solutions of quadratic equation are same when values of roots are real. But when the roots are imaginary then we can not find x- intercept in cartesian   coordinate plane .

If sec a = 5/4 and a is an angle in quadrant iv find the value of cos a

Answers

we know that
sec a = 5/4
sec(a)=1/cos(a)
then 
cos (a)=1/sec(a)
cos (a)=1/(5/4)=4/5---> is positive because the function cos is positive in IV quadrant

the answer is cos(a)=4/5

Find two consecutive integers whose product is 24 more than three times the first integer

Answers

x= first integer
x+1= second consecutive integer

Product means multiply, so we'll multiply x by x+1. More than means to add and 3 times is multiplication.

x(x + 1)= 3x + 24
use distributive property to multiply x by everything in parentheses
(x*x) + (x*1)= 3x + 24
x^2 + x= 3x + 24
subtract 3x from both sides
x^2 - 2x= 24
subtract 24 from both sides
x^2 - 2x - 24= 0
factor the expression
(x-6)(x+4)= 0
x-6=0
x=6

x+4=0
x=-4

If x= 6 is the first integer, x+1= 7 is the second integer

If x= -4 is the first integer, x+1= -3 is the second integer


Hope this helps! :)

What is the value of x in the triangle?

Answers

We can use SOH CAH TOA to solve this :)

We’re going to use Cosine because the angle and sides given are Adjacent and Hypotenuse- which goes with the CAH part of SOH CAH TOA.

Cos(18) = x/25

Multiply both sides by 25

25cos(18) = X = 23.776

So x = 23.776 cm

I hope this Helps!
You would multiply the sides of the triange by 25.

And that gives you...  x = 23.776 cm

If f(x)=x+7 and g(x)=1/x-13 what is the domain of (f*g)(x)
A. {x| x = 6}
B. {x| x = -6}
C. {x| x = -13}
D. {x| x = 13}

Answers

I think the answer is b

Answer:

The Answer is B

Step-by-step explanation:

If you do the math, this would be the conclusion you would come up with.

NEED HELP ASAP

What are the restrictions of:
(n^2 -6) / (n^2 -2)

5 and 2
+/- SQRT5 and +/- SQRT2
5 and -2

Answers

What you should see for this case are the values for which the denominator is NOT defined.
 We have then that in this case the values are:
 (n ^ 2 -2) = 0
 Clearing n we have:
 (n ^ 2) = 2
 n = + / - sqrt (2)
 Answer:
 the restrictions are:
 n = + / - sqrt (2)

What is the value of n?

Enter your answer in the box.

n =

Answers

If two chords intersect each other inside a circle, the products of their segments are equal.

18(n+1) = 9(n+7)
18n + 18 = 9n + 63
18n - 9n = 63 - 18
9n = 45
n = 45/9
n = 5

Answer:

n = 5

Step-by-step explanation:

This problem follows the theorem "If two chords intersect each other inside a circle, the products of their segments are equal."

To follow this theorem, you must multiply both segments of the chord with each other.

Do it to both chords.

The two chords are equal to each other. It should look like:

18*(n+1) = 9*(n+7)

[distributive property]

18n + 18 = 9n + 63

9n = 45

n = 5

What is the value of y in the parallelogram below?

Answers

Answer:

The answer is the option B

[tex]23\°[/tex]

Step-by-step explanation:

we know that

In a parallelogram consecutive angles are supplementary

so

In this problem

[tex]5y\°+65\°=180\°[/tex]

Solve for y

[tex]5y\°=180\°-65\°[/tex]

[tex]y=115\°/5=23\°[/tex]

Answer:

23

Step-by-step explanation:

just took the test

f(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4 what isf(x)-g(x)

Answers

Answer:
f(x) - g(x) = 4x³ + 2x² + 2x

Explanation:
We are given that:
f(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4

We want to get the value of f(x) - g(x). This means that we will simply subtract g(x) from f(x) as follows:
f(x) - g(x) = 9x³ + 2x² - 5x + 4 - (5x³ - 7x + 4)
f(x) - g(x) = 9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4
f(x) - g(x) = 9x³ - 5x³ + 2x² - 5x + 7x + 4 - 4
f(x) - g(x) = 4x³ + 2x² + 2x

Hope this helps :)

What is the relation between the graphs of f(x)=x^2 and g(x)=x^2+6?

a.
the graph of g(x) is a translation of the graph of f(x) up 6 units
c.
the graph of g(x) is a translation of the graph of f(x) right 6 units
b.
the graph of g(x) is a translation of the graph of f(x) left 6 units
d.
the graph of g(x) is a translation of the graph of f(x) down 6 units

Answers

The answer is letter a

Answer:

I think it is the first one

Step-by-step explanation:

Please give brainliest

Anybody have a real answer for the question?

Answers

based on the "tangent-chord angle theorem", since the arc made by that chord is 168°, the angle enclosed by both the chord and the arc is half that, namely ∡x is 168/2.

now, notice, ∡y and ∡x are "linear angles", therefore

x + y = 180

y = 180 - x.

1. J. Cole is a successful Hip-Hop recording artist. He has a record contract that pays him $20,000 a month plus an additional $12 for each album that he sells. Last month he earned $24,800. Write an equation to express the money J. Cole earned last month. Let "x" represent the number of albums.

2. How many albums did J. Cole sell last month?

Answers

Monthly payment = $20,000
Payment per album = $12
Total earned last month = $24,800

Part (a): Expression for money earned last month
Let x be number of albums last month. Then,
Total earning = Fixed payment + Variable payment

That is,
24,800 = 20,000 + 12*x
24,800 = 20,000 + 12x

Part (b): Number of albums last month
This involves solving for x in the expression derived in part (a) above.
24,800 = 20,000 + 12x
24,800 - 20,000 = 12
12x = 4,800
x = 4,800/12 = 400 albums

helppppppppppppppppppppppppppppppp

Answers

You must do in this case is composition of both functions:
 a (x) = 3x + 1
 b (x) = root (x-4)
 Making the composition
 b (a (x)) = root ((3x + 1) -4)
 Rewriting:
 b (a (x)) = root (3x-3)
 b (a (x)) = root (3 (x-1))
 Answer:
 The domain of the function is:
 x> = 1
 Equivalently:
 [1, inf)

Perpendicular lines AB and CD intersect at point E. If m∠AED = x + 20, what is the value of x?
A.) 160
B.) 110
C.) 90
D.) 70

Answers

the answer is D.) 70 because if the lines are perpendicular the the angle would have to equal 90* so 90=x+20

OUCH MY BRAIN IS HURTING AFTER TRYING TO SOLVE THIS QUESTION

Answers

300° CCW is the same as 60° CW. N will show up where H is now.

The 3rd selection is appropriate.

Serena paid $194.99 for a game system and then bought two equally-priced games. If she spent a total of $284.97, what is the price, p, of one game? Enter your answer in the box.

Answers

$284.97 - $194.99 = $89.98

$89.98 / 2 = $44.99

Serena bought two equally priced game at a price of $44.99 each and the total money spent in buying all three games is $284.97.

Given information:

The price Serena paid for buying the first game is $194.99

The overall price Serena paid for buying three games is $284.97

Let, the price of one of the two equally priced game is [tex]\bold{P}[/tex]

As, the price of second and third game is equal, we can consider the combined price of second and third game.

Thus , the equation formed according to the information given in the question is:

[tex]\bold{194.99+2P=284.97}[/tex]

Solve, the above equation in order to find the price of one game.

[tex]2P=284.97-194.99\\\2P=89.98}\\{P=44.99}[/tex]

Hence, the price of one game in two equally priced game is $44.99

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Nina has $5 bills and $10 bills in her wallet. she has a total of 7 bills with a value of $55. how many of each type of bill does she have? show all work to justify your answer.

Answers

the answer is 3 fives and 4 tens

PLEASE HELP ASAP!!!
The first figure is dilated to form the second figure.

Which statement is true?

The scale factor is 0.8.
The scale factor is 1.25.
The scale factor is 2.0.
The scale factor is 18.0.

Answers

The scale factor is 1.25. 

10/8=1.25.

Answer: The answer is (a) The scale factor is 1.25.

Step-by-step explanation:  We are given two figures in the question, where the second one is dilated from the first one. We are to find the scale factor here.

One side of the dilated figure is of length 10 inch and the original figure has a side of length 8 units.

Therefore, the scale factor is given by

[tex]S.F.=\dfrac{10}{8}=1.25.[/tex]

Therefore, the scale factor is 1.25 and (B) is the correct option.

In this activity, you'll calculate a probability and use it to predict the result of repeating a simple chance-based trial many times.

You are in charge of the casino night game area at a fundraising event. In one of the games, called Odd Odds, the player rolls two six-sided dice. The player gets points if the product of the two numbers rolled is odd. So, success in the game depends on the chances of getting an odd number for the result.

1)Find the number of outcomes in the sample space, n(S), of the trial of this game.

2)List and count all the outcomes for event E, in which the product of the two numbers rolled is odd.

3)Find the probability of getting an odd number. In this case, you will calculate the probability, P(E), of event E, in which the product of the two numbers rolled is odd. Write the probability as a fraction reduced to lowest terms and as a decimal correct to two places.

Answers

Answer:


Step-by-step explanation:

They are saying the player gets points if the PRODUCT of the two numbers rolled is odd not the SUM  So the answer should be

(1,3) (1,5) (3,1) (3,3) (3,5) (5,1)(5,3)(5,5)  which is 9 out of 36 which would be 1/4 or 0.25

Final answer:

In this activity, the student needs to calculate the number of outcomes in the sample space, list and count the outcomes for event E, and find the probability of getting an odd number.

P(E) = 9/36 = 1/4 = 0.25.

Explanation:

To find the number of outcomes in the sample space (n(S)) of the trial, we need to consider all the possible combinations of rolling two six-sided dice. Since each die has six sides, the total number of outcomes for each die is 6. To find the total outcomes in the sample space, we multiply the outcomes for each die: n(S) = 6 * 6 = 36.

In this game, we are interested in the outcomes where the product of the two numbers rolled is odd. To list and count these outcomes, we need to consider the combinations where one or both of the numbers rolled is odd. By listing all the possible outcomes, we have: (1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5). There are 9 outcomes for event E.

To find the probability of getting an odd number, we need to divide the number of outcomes for event E by the total number of outcomes in the sample space. P(E) = 9/36 = 1/4 = 0.25.

Melina has 4 sheets of wacky face sticker individually from the sheet. She then divides them evenly into 3 piles to give to friends. How many stickers are in each pile?

Answers

I FOUND YOUR COMPLETE QUESTION IN ANOTHER SOURCE.
 SEE THE ATTACHED IMAGE.

 For this case what we must do is first find the total number of stickers.
 We have then:
 (4) * (24) = 96
 Then, we must organize the stickers in three piles.
 We have then:
 (96) / (3) = 32
 Answer:
 in each pile are 32 stickers

The answer explains how to divide 4 stickers into 3 piles, resulting in 1 sticker each.

To find out how many stickers are in each pile:

Count the total number of stickers = 4 sheets x 1 sticker per sheet = 4 stickers.Divide the total number of stickers evenly into 3 piles: 4 stickers ÷ 3 piles = 1 sticker in each pile.

WILL GIVE BRAINLIEST ANSWER!!! PLEASE HELP!!! 12 POINTS!!!!!!!

The formula for the volume, V, of a right rectangular pyramid is one-third its base length, l, times its base width, w, times its height, h. Which of the equations below are equivalent to the formula described?

-----Note: more than one must be used-----

ANSWER OPTIONS:

* l = V over 3hw

* w = V over 3lh

* l = 3V over wh

* h = 3Vl over w

* w = 3V over lh

* h = V over 3lw

Answers

V = 1/3 h l w

h l w = 3V

l = 3V / w h    Which is the third choice.

h = 3V / l w

w = 3V / h l - which is the fifth choice

The third and fifth are equivalent to the formula described.

A species of catfish, can generate up to 350 voltsWrite an inequality to represent the amount of electricity generated by the catfish

Answers

catfish≤350 because the catfish cannot generate more than 350 volts.

The inequality to represent the amount of electricity generated by the catfish, which can generate up to 350 volts, is:  [tex]\[ 0 \leq E \leq 350 \][/tex] where [tex]\( E[/tex]  represents the amount of electricity in volts.

This inequality indicates that the electricity generated by the catfish is at least 0 volts and at most 350 volts. The lower bound of 0 volts is included because the catfish cannot generate negative voltage, and the upper bound of 350 volts is the maximum it can generate.

Each of two trapezoidal prisms has a volume of 120 cubic centimeters. the prisms have no dimensions in common. give possible dimensions for each prism.

Answers

To answer this question you need to know how to find the volume of a trapezoidal prism. You multiply the area of a trapezoid by the height of the prism. To begin answering this, you can start with 2 different factors of 120. I chose 4 and 6.

If the height of one trapezoid is 4, the area would need to be 30. I wrote out the formula for area of a trapezoid (h (b1+b2)/2) and solved for 30. I multiplied both sides by 2 and saw that I needed a 60 from the sun of my 2 bases and the height of the trapezoid base. I used 2 for the height and 20 and 10 as the 2 bases.

For the second trapezoid, I used 6 as the height of the prism. This left me with 20 as the area. I used the same formula above and found that I needed to get 40. I used 5 as the height of the trapezoid and 1 and 7 as the two base lengths. Hope this helps!!
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No revisions are needed; all her points are strong supporting details.C. Remove "Your behavior is annoying and immature."D. Remove "It would take less time to do together."4. Kim has been asked to work on a proposal for keeping the arts and music programs at her school funded. Below are her ideas. Art and music programs enhance creativity.Funding isn't being cut for sports.Learning about art and music is part of getting a well-rounded education.Cutting art and music programs would forever tarnish the school's reputation.Which of these ideas is the least effective supporting detail?A. Art and music programs enhance creativity.B. Cutting art and music programs would forever tarnish the school's reputation.C. Learning about art and music is part of getting a well-rounded education.D. Funding isn't being cut for sports.5. The president of an internet security company is writing a memo to his sales department; his purpose is to explain the upgrades so that sales representatives can effectively tell new and continuing customers. Which of the following statements should not be included as a main point in the memo?A. It has been updated to detect and prevent more breaches.B. It is pretty much the same as the old product.C. It represents the start of a more frequent, free upgrade cycle.D. The interface is easier to navigate. Can someone graph these 2 equations for me??y=5(1/2)^x +4y=4(1/6)^(x+2) a chemical reaction produces .884 mols of H2S gas. what volume will the gas occupy at STP? Knowing the molar mass is 32.0 g/mol, what is the density of this gas? According to the social gospel of turn-of-the-twentieth-century christian churches, what was the church's mission? 4. In a chemical reaction, mass is conserved. This means that (1 Point) a) The mass of the reactants stays the same during a chemical reactionb) The mass of the products stays the same during a chemical reaction c) The type and number of atoms in the reactants equals the type and number of atoms in the productsd) The mass of the products is always twice the mass of the reactants. In this parallelogram m angle bad =75 so m angle bcd Please help! Thanks. What was the greatest challenge the audience for Roosevelt's Four Freedoms speech presented?A.They had already spent too much money on the war.B.They had many different opinions about the war.C.They were already too involved in the war.D.They didn't understand the realities of war. The Grand Canyon was carved out by the Colorado River. This caused the separation of members of a squirrel species. Aberts Squirrel lives on the southern side of the canyon and in other parts of the United States. A subspecies, the Kaibab Squirrel, is found around the northern rim of the canyon and nowhere else in the country. As shown here, the two squirrels differ in body and tail coloration. Their ears are also different. These variations are the result of what? PLEASE!!!!!!!!!!!!!HURRY!!!!!!!!!!!!!!!!!!!!!!!20 points!!!!!!!!!!!!!!!!!!!!!!1A group of children are asked whether they prefer vanilla or chocolate ice cream. The data are collected in the table. _______ emerged as a reawakening of the Europeans and many Americans to their classical heritage. CLASSIFYING SENTENCES BY STRUCTURE Classify each of the following sentences according to its structure. Decide whether the sentence is compound, complex, or compound-complex. Sometimes the air that is rushing in begins to rotate, and a tornado is formed.