Find the values of a, b, and c in the equation
below.
(x^5yz^4)^3/x^3yz=x^ay^bz^c

Answer:

44%

Step-by-step explanation:

1% of 54 is 0.54

78/0.54=144.444444

-100% b/c that's the base

44% better

Answer:

£7

Step-by-step explanation:

Let's call Josh's money 'J' and Leon's money 'L'.

Then, we can write the following system of equations:

[tex]J + L = 73[/tex]

[tex](J - 5) = 1.25(L - 5)[/tex]

From the first equation, we have:

[tex]J = 73 - L[/tex]

Using this value of 'J' in the second equation, we have:

[tex](73 - L - 5) = 1.25(L - 5)[/tex]

[tex]68 - L = 1.25L - 6.25[/tex]

[tex]2.25L = 74.25[/tex]

[tex]L = 33[/tex]

[tex]J = 73 - L = 73 - 33 = 40[/tex]

At the start Josh has £40 and Leon has £33, so the difference is:

[tex]J - L = 40 - 33 = 7[/tex]

Answer: n = 20

Step-by-step explanation:

Given that the problem goes thus:

When a number, n is added to 1/5 n of itself, the outcome obtained is 24.

Mathematically,

n + 1/5 of n = 24

n + (1/5n) = 24

1n + 1/5n = 24

(5n + 1n) / 5 = 24

6n / 5 = 24

6n = 24 × 5

6n = 120

n = 120 / 6

n = 20

Answer:

B on edg, n=20

Step-by-step explanation:

Answer:

Answer:

option 4

Step-by-step explanation:

Simplify the equation,

9x² + 6x = 3x ( 3x + 2)

9x² + 3x = 3x*(3x + 1)

9x² + 9x + 2 =9x² + 3x + 6x + 2*1

                    = 3x(3x + 1) + 2(3x + 1)

                  = (3x+ 1)(3x +2 )

[tex]\frac{10}{9x^{2}+6x}-\frac{1}{9x\frac{}{}+3x}=\frac{10}{3x(3x+2)}-\frac{1}{3x(3x+1)}\\\\=\frac{10(3x+1)}{3x(3x+1)(3x+2)}-\frac{1(3x+2)}{3x(3x+1)(3x+2))}\\\\=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\\\frac{5}{9x^{2}+9x+2}= \frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\frac{5}{(3x+1)(3x+2)}=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\[/tex]

Both sides (3x+1)(3x+2) will get cancelled

[tex]5=\frac{10(3x+1)-(3x+2)}{3x}\\[/tex]

Cross multiply,

5(3x) =10(3x+1)-(3x+2)

When x = -2/3, LHS = 5(3x) = [tex]5*3*\frac{-2}{3}[/tex]

                                 = -10

When x= -2/3, RHS = 10(3x+1)-(3x+2)

                                = [tex]10(3*\frac{-2}{3}+1)-(3*\frac{-2}{3}+2)\\[/tex]

                                = 10(-2+1) - (-2+2)

                                = 10 * (-1) -0

                               = -10

LHS = RHS

So, -2/3 is a solution

Answer:

Sell price is not always higher than the buy price.

When there is profit, sell price is higher than the buy price.

When there is loss, sell price is lower than the buy price.

Step-by-step explanation:

Answer:

Currency numeric Value is always worth different in another country

Step-by-step explanation:

When talking about Currency you have to understand that the United Nations has not set up a universal currency yet, so countries are still using the currency that they started using hundreds of years ago.

In the example of exchanging Yen to USD. In numeric value 1 Yen is worth about $0.0093 USD.

Whereas USD to Yen the exchange rate is 1 USD is about 106.99 Yen. Because of the United States value to the 1 dollar bill.

Answer:

Step-by-step explanation:

[tex]2a(b + a) - 2b(b - a)[/tex]

Expand by distributing terms:

[tex]2ab + 2 {a}^{2} - (2 {b}^{2} - 2ba)[/tex]

Remove parentheses:

[tex]2ab + 2 {a}^{2} - 2 {b}^{2} + 2ba[/tex]

Collect like terms:

[tex]2ab + 2ba + 2 {a}^{2} - 2 {b}^{2} [/tex]

Simplify:

[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

(-3, -2) is the image of P(3, 2).

Step-by-step explanation:

Given: a point P with coordinates (3, 2).

To find: Image of point P after 180° counterclockwise about the origin.

Solution:

Let us have a look at the coordinates and try to learn how a coordinate is written.

(3, 2) means x coordinate or value on x axis = 3 and

y coordinate or value on y axis = 2

Please have a look at the attached image to understand how the point P is plotted on xy axis.

Point P(3, 2) lies in 1st quadrant.

When a counterclockwise rotation is given the point will move from 1st quadrant to 2nd quadrant to 3rd quadrant to 4th quadrant.

A 90° rotation will cause the point to move to 2nd quadrant from 1st quadrant.

Another 90° rotation will cause the point to move to 3rd quadrant from 2nd quadrant.

So, the image of point P will lie in the 3rd quadrant where both x and y coordinates are negative.

Hence, the image will be P'(-3, -2).

Answer:

( -3 , -2 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

p(x) = 2x² - 4x

g(x) = x - 3

To find (pog)(x) replace every x in p(x) by g(x)

That's

(pog)(x) = 2(x - 3)² - 4(x - 3)

= 2( x² - 6x + 9) - 4x + 12

= 2x² - 12x + 18 - 4x + 12

Hope this helps you

Answer:

B. 4%

Step-by-step explanation:

Since Hope earns $45,000 per year in taxable income, she falls under the second tax bracket (income higher than $40,000) for long term capital gains = 15%.

Her total capital gain was $200 x (1 - 15%) = $170 in net after tax earnings

her return on investment = net after tax earnings / total investment = $170 / $4,250 = 0.04 = 4%

Answer: 4%

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

We simply have to find the y-value when x = -3. When x = -3 on the graph, our y value would be 4.

Answer:

4

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

38+x= 13+5+8+x

38+x=26+x

38-26=2x

12=2x

x=6

Answer:

Question 1:

The letter x or any letter used when writing an expression is representative of  unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Question 2:

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

Question 3:

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

The first expression simplifies to 8y + 4x + 10

The second expression simplifies to  7x - 3y + 6

Question 4:

The expression is evaluated as 122

Question 5:

The equivalent expression of the expression 3(4x + 2y) + 5x, is 17x + 6y

To prove when x = 1 and y = 2 we have;

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29 which are equivalent in value

Step-by-step explanation:

Question 1:

The letter x or any letter used when writing an expression is representative of  unit of an idea, quantity or measure, such that it can be translated in the expression to provide information about a related idea

Example;

If x is the symbol representing the average number of oranges sold in 1 hour, then the expression for the number of oranges sold per day of 24 hours  = 24·x

An expression is a written mathematical symbolic statement that shows the the finite merging together of representative symbols by the mathematical operations that govern the present constraints

An equation is a statement that two expressions are equal

Question 2:

The given expression is 2(3x - 2y) + 7

The parts are;

The coefficient of (3x - 2y) = 2

The constant term = 7

The variables are x and y

Which gives

The coefficient of the variable x = 6

The coefficient of the variable y = -4

The expression can be translated as two times the expression three (variable) x minus two (variable) y plus the constant 7

or

The expression can be translated as two times the bracket open three times (variable) x minus two times (variable) y bracket close plus the constant 7

or

The expression can be expanded as 2(3x - 2y) + 7 → 6·x - 4·y + 7 which is expressed verbally as follows;

Six times (variable) x minus four times (variable) y plus the constant 7

Question 3:

The expressions are;

10y + 3x + 10 + x  - 2y..........................(1)

3x - y + 4x + 6 - 2y,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,(2)

In the first expression, the like terms are;

10y and (-2y),

3x and x

In the second expression, the like terms are;

-y and -2y

3x and 4x

They are like terms because they can be simply added together to simplify the expressions as follows

10y + 3x + 10 + x  - 2y gives 10y - 2y + 3x + x  10  to give 8y + 4x + 10

Also

3x - y + 4x + 6 - 2y  gives  3x+ 4x - y  - 2y + 6 to give 7x - 3y + 6

Question 4:

The expression 8x² + 25·y when x = 3 and y = 2 is evaluated by replacing (putting) the value x and y (into the expression)

The expression is then evaluated as 8×3² + 25×2 which is the same as 72 + 50 or 122

Question 5:

To write the equivalent expression of the expression 3(4x + 2y) + 5x, we expand the expression as follows;

3×4x + 3×2y + 4x which is 12x + 6y + 4x

We combine like terms;

12x + 5x + 6y which is 17x + 6y

To prove we can check by substituting a value for each of the variables x and y such as x = 1 and y = 2

3(4×1 + 2×2) + 5×1 is 29

17×1 + 6×2 is 29

Answer:b the probabilty that it contains nuts and is white

Step-by-step explanation:im sorry if this is wrong but its the only one that makes sense to me

Conditional probability is represented by probability that the candy is blue

The concept of the conditional probability formula is one of the quintessential concepts in probability theory. The conditional probability formula gives the measure of the probability of an event, say B given that another event, say A has occurred.  

The Bayes' theorem is used to determine the conditional probability of event A, given that event B has occurred, by knowing the conditional probability of event B, given that event A has occurred, also the individual probabilities of events A and B.

: In case P(B)=0, the conditional probability of P(A | B) is undefined.  (the event B did not occur)

Given:

Some red, white, and blue candies were placed in a bowl.

Some contain nuts, and some do not

Here we are only focusing on the red candy which shows we have reduce the sample space.

Learn more about conditional probability here:

https://brainly.com/question/13044823

#SPJ5

Answer:

The answer is 6²

Step-by-step explanation:

Since 6² = 36

√36 = 6 making 6² a perfect square.

Hope this helps you

Answer:

6^2

Step-by-step explanation:

A perfect square of a given number is the number raised to a positive even integer (2,4,6,...).

So out of the list, only 6^2 is raised to an even integer (2).  Therefore 6^2 is a perfect square.

Answer: D) 192.5

Step-by-step explanation:

First, calculate the area of one face, in this case the right triangle.  The area of a triangle is 1/2bh(17.5 here)  Then multiply this area by the length(11 here).  17.5 * 11 = 192.5

Answer:

D. 192.5cm^3

Step-by-step explanation:

Well the formula to find the volume of a triangular prism is pretty long so if you would like to know it you can search it up.

Well we still have to find one side of the small triangle so we use the Pythagorean Theorum formula which is [tex]a^2+b^2=c^2[/tex].

So we have a and b which are 7 and 5 and using the in the formula we get 74

Now we have 74 = c^2.

So we find the square root of 74 which is about  9 rounded to the nearest whole number.

Now that we have c we plug it in the formula and get 191.54.

aso the answer is D. 192.5cm^3.

Answer:

201 square feet

Step-by-step explanation:

First, find the area of the whole cylinder using A=bh, where h = 8 and b = 4π² = 16π. Then, divide it by two since it is a half cylinder

Answer:

101

Step-by-step explanation:

L= 2[tex]\pi rh[/tex]

=2[tex]\pi (4)(8) = 201\\\\[/tex]

Divde by 2 since it is half of a cylinder

201/2=101

Answer:

p(x) = (x + 1)²(5x - 1)²

Step-by-step explanation:

Since we are given the 2 zeroes, we put them into binomial form:

(x + 1)(5x - 1)

We are also given that we have the polynomial degree of 4, and both zeroes have a multiplicity of 2. Therefore, both roots are powered by 2:

(x + 1)²(5x - 1)²

When we multiply it out, we should get a polynomial with a degree of 4.

Answer:

<x = 30

Step-by-step explanation:

We can first calculate what <MOP is by doing 180 - 120 = 60, since line MN is 180 degrees and <PON is 120 degrees. Now we know that <MOP is 60 degrees, we can now plug in an equation to find what <x is. We know that line MN is 180 degrees, <MOR is 90 degrees, and <MOP is 60 degrees, we can do:

<x + 60 + 90 = 180

<x = 180 - 60 - 90

<x = 30

Answer:

5.

Step-by-step explanation:

If the first 4 picked are of different colours then the fifth  sock must be a match. for one of the four.

Answer:

Hey there!

There are four 1/4 inch long sections in 1 inch. Thus, in four inches there would be 16 of those sections.

16+1=17

Thus, in 4 1/4 inches of rope, there are 17 sections of 1/4 inches.

Hope this helps :)

Answer: 17 1/4 inch sections

Step-by-step explanation:

4 1/4 = 4.25

1/4 = .25

Simply do 4.25/.25 to get 17.

Hope it helps <3

Answer:

-5cd

Step-by-step explanation:

-3cd-2cd+4d-4d

-3cd-2cd=-5cd

4d-4d=0

=-5cd

Answer:

Solution,

[tex] - 3cd - d(2c - 4) - 4d \\ = - 3cd - 2cd + 4d - 4d \\ = - 5cd[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

y = [tex]\frac{2}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)

m = [tex]\frac{4-2}{3-0}[/tex] = [tex]\frac{2}{3}[/tex]

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = [tex]\frac{2}{3}[/tex] x + 2 ← equation of line

Answer:

C

Step-by-step explanation:

Here, we want to find which of the expressions have the greatest rate of exponential growth.

The easiest way to go about this is have a substitution for the term t;

Let’s say t = 6

Thus;

h(t) = 1.18^1 = 1.18

K(t) = 0.375^6 = 0.002780914307

f(t) = 1.36^6 = 6.327518887936

g(t) = 0.86^6 = 0.404567235136

Another way to find this is to express each as a sum of 1

f(t) = (1+ 0.36)^t

g(t) = (1-0.14)^t

k(t) = (1-0.625)^t

We can see clearly that out of all the terms in the brackets asides 1, 0.36 is the biggest in value

Answer:

3/4

Step-by-step explanation:

Rise over run is the formula for slope. Just count your way up until you meet a point on the same line. Then just count towards that point.

Hope this helps! <3

Answer:

The answer is D 4 seconds

Answer:

52

Step-by-step explanation:

Since the sum of interior angles in a quadrilateral is 360°, you have to subrtact all those numbers from 360° in order to get angle D. What I mean is:

360 - (128+126+54)

360 - 308

52

Answer:

52°

Step-by-step explanation:

The trapezoid is a closed figure, meaning all the angles must equal 360°.

1. Set up the equation

128° + 126° + 54° + ∠D = 360°

2. Solve for ∠D

360 - 128- 126- 54 = 52

∠D = 52°

You can also solve this by knowing that in a trapezoid:

∠A + ∠D = 180° and ∠B + ∠C = 180°

1. Set up the equation

128 + ∠D = 180°

2. Solve

180 - 128 = 52

∠D = 52°

Answer:

[tex]x_1 = 43.5145\°[/tex]

[tex]x_2 = 316.4855\°[/tex]

Step-by-step explanation:

We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).

Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.

The value of x can be calculated using:

[tex]x = arccos(0.7252)[/tex]

Using this function in a calculator (you may find it as: [tex]cos^{-1}(x)[/tex]), we have that:

[tex]x_1 = 43.5145\°[/tex]

So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:

[tex]x_2 = 360\° - 43.5145\° = 316.4855\°[/tex]

So the values of x are:

[tex]x_1 = 43.5145\°[/tex]

[tex]x_2 = 316.4855\°[/tex]

Answer:

$12.40

Step-by-step explanation:

Answer:

$31.80

Step-by-step explanation:

First, find the sale price.

Normally you pay for 100% of the price. Since it is 25% off, you only pay for 75% of the price. (100%-25%=75%)

Therefore, we can multiply 75% and $40

75% * $40

Convert 75% to a decimal by dividing 75 by 100 or moving the decimal place 2 spots to the left.

75/100=0.75

75.0 --> 7.5 --> 0.75

0.75* $40

Multiply

$30

Now, find the price with tax.

You have to pay for 100% of the price, plus an additional 6% for the tax. Therefore, you are actually paying for 106% of the price (100% + 6% = 106%)

Therefore, we can multiply 106% and $30

106% * $30

Convert 106% to a decimal by dividing 106 by 100 or moving the decimal place 2 spots to the left.

106/100=1.06

106.0 --> 10.6 --> 1.06

1.06 * $30

Multiply

$31.8

Niko paid $31.80 for the game.

Answer:

46.87

Step-by-step explanation:

V=*(A^3/2

)/36

V=*(46.87^3/2

)/36