A cleaning mixture requires 5 cups of water for every 2 cups of solution which ratio of cups of water to cups of solution will make the same cleaning mixture?
a. 15:6
b. 8 :20
c. 60;18
d. 20:14

Answer:

\(4x^3y^2\sqrt[3]{x}\)

Step-by-step explanation:

Applying the exponent rule \(\left(a\cdot \:b\right)^n=a^nb^n\)

\((8x^5y^3)^\frac{2}{3}\) = \(8^{\frac{2}{3}}\left(x^5\right)^{\frac{2}{3}}\left(y^3\right)^{\frac{2}{3}}\) = \(8^{\frac{2}{3}}\left(x^5\right)^{\frac{2}{3}}\left(y^3\right)^{\frac{2}{3}}\)

\(8^\frac{2}{3} = \sqrt[3]{8^2} = \sqrt[3]{64} = 4\)

\((x^5})^\frac{2}{3} = x^\frac{5.2}{3} =x^\frac{10}{3}\)

\((y^3)^\frac{2}{3} = y^\frac{3.2}{3} = y^2\)

So \((8x^5y^3)^\frac{2}{3} = 4x^\frac{10}{3}y^2\)

We can eliminate the first and third choices since the coefficient is not 4

If we look at the other two choices 2 and 4

\(\sqrt[3]{xy^2} = \sqrt[3]{x} \sqrt[3]{y^2}\) and this cannot result in a \(y^2\) term

Therefore the answer is \(4x^3y^2\sqrt[3]{x}\)

We can verify this by converting the cube root to an exponent

\(\sqrt[3]{x} = x^\frac{1}{3}\)  So we get

\(4x^3y^2x^\frac{1}{3}\)

Collecting like terms we get

\(4x^{3}x^{\frac{1}{3}}y^{2}\)

Noting that \(x^ax^b = x^{a+b}\)

\(x^{3}x^{\frac{1}{3}} = x^{3\)\(x^{3+\frac{1}{3}}=x^\frac{10}{3}\)

So the expression evaluates to

\(4x^\frac{10}{3}y^2\)

which fits our simplified value

Answer:

-3

Step-by-step explanation:

ΔX = 0 – -1 = 1

ΔY = -3 – 0 = -3,

y = -3x – 3, so the slope is -3

Sorry if you don't understand, but pls brainliest for level up

Answer:

-2

Step-by-step explanation:

The slope formula is y_2 - y_1 over x_2 - x_1.

We plug in the equation and it's -2 - 0 over 0 +1.

We get by simplifying the expression -2/1.

That is -2 because we ever something is over 1 then you remove the denominator and it becomes a whole number.

Answer:

(0,3) (0,7)

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

Answer:16 baths

Step-by-step explanation:

The following are the ways of illustrating a relation and a function using Mapping or Arrow Diagram EXCEPT

B. One-to-many correspondence

A relation represents a function when each input value is mapped to a single output value.

This means that there cannot be an one-to-many correspondence, which would mean that a single input would be mapped to multiple outputs.

This means that the correct option in the context of this problem, the one with a false statement, is given by option B.

More can be learned about relations and functions at brainly.com/question/10283950

#SPJ1

Answer:

50

Step-by-step explanation:

opposite angles are equal so 50 is corresponding with x

Answer:

x = 50

Step-by-step explanation:

Parallelogram have opposite sides parallel and equal in length.  The opposite angles are equal.

x = 50

Answer:

A. x= 4/5

B. x=4/5

Step-by-step explanation:

1) My guess would be B because in both of them you subtract 2 just not at the same time, I hope this is correct

Dekker's mutual exclusion algorithm is a classic algorithm that provides mutual exclusion in a concurrent system. the statement "Dekker's mutual exclusion algorithm does not use a test-and-set instruction" is false.

It was proposed by Th. J. Dekker in 1965 and is one of the earliest solutions to the mutual exclusion problem. The algorithm is based on a shared Boolean variable and two processes that are competing for access to a critical section. The algorithm does use a test-and-set instruction, which is used to atomically set the value of the shared boolean variable to true.

The algorithm works by alternating the turn of the processes, such that only one process can enter the critical section at a time. The process that wants to enter the critical section first sets its turn flag to true and checks if the other process's turn flag is false. If the other process's turn flag is false, the first process can enter the critical section. Otherwise, the first process waits by repeatedly checking the other process's turn flag until it becomes false. Once the first process finishes its critical section, it sets its turn flag to false, allowing the other process to enter the critical section.

Therefore, the statement "Dekker's mutual exclusion algorithm does not use a test-and-set instruction" is false.

To learn more about mutual exclusion here:

brainly.com/question/28565577#

#SPJ11

Answer:

C) Opposite

Step-by-step explanation:

For angle x, the 2 sides that it lies between are either adjacent or hypotenuse. The one the angle doesn't touch is the opposite.

Answer:

C. 169

Step-by-step explanation:

144+152+139+171+169=775

775÷5=155

Given :

Original price , P .

Discount given , 35 % .

To Find :

The final discounted price of the object .

Solution :

Let final price is x .

Now , x = p - (35% of p) .

\(x=p-\dfrac{35}{100}p\\\\x=0.65p\)

Therefore , final price of the object is 0.65p ,

Hence , this is the required solution .

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

Answer:

(6,7)

Step-by-step explanation:

Let B(x,y).

By the midpoint formula,

So, the coordinates of B are (6,7).

Your answer for A is correct.

For B, I would keep the base of the logarithm as simple as possible.

\(y = 100 \cdot 3.24^x \implies \dfrac y{100} = 3.24^x \implies \log_{3.24}\left(\dfrac y{100}\right) = \log_{3.24}(3.24)^x \\\\ \implies x = \log_{3.24} \left(\dfrac y{100}\right)\)

In part A, the function told us the number of students with cell phones (dependent variable) after some number of years post-2000 (independent variable). Our new function turns this around and tells us the time in years after 2000 (dependent) based on how many student have cell phones (independent).

For C, if we set \(y=7200\) students, then we can estimate the time it takes for the all students to acquire cell phones by solving for \(x\).

\(x = \log_{3.24}\left(\dfrac{7200}{100}\right) = \log_{3.24}(72) \approx 3.63794\)

If you're using a typical calculator, it probably won't have buttons for logarithms of any base other than 10 or the natural base \(e\). To work around that, use the change-of-base identity

\(\log_{3.24}(72) = \dfrac{\log_{10}(72)}{\log_{10}(3.24)} = \dfrac{\ln(72)}{\ln(3.24)}\)

At any rate, it would take about 3.64 years for all students to get a cell phone, according to this model.

The points represented by the table lie on a line, then the slope of the line would be; 3.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Its slope would be:

\(m = \dfrac{y-q}{x-p}\)

Since the Slope of parallel lines is the same. Slopes of perpendicular lines are negative reciprocals of each other.

Using any two pairs from the table of values given which are; (-4, 2) and (-3, 5):

\(m = \dfrac{y-q}{x-p}\)

Now Plug the value into the slope formula:

m = (5 - (-4))/ (5 - 2)

m = 9/3

m = 3

Therefore, the slope of the line would be; 3.

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ2

Answer:

Minti - 12 days

Minti & Rinki - 8 days

Use Formula 3

time= (12 * 8) / (12 -8)

time = 96 / 4

time for Rinki alone = 24 Days

*****************************************************

Rinki alone for 4 days will leave 20 days of work to be done.

Step-by-step explanation:

The total number of outcomes is 12.

An outcome is a potential outcome of an experiment or trial in probability theory.

When a number cube is rolled there are 6 distinct outcomes {1,2,3,4,5,6} = 6

Again when a quarter is flipped then there are two possible outcomes {heads , tails } = 2

The total number of outcomes = 6 × 2 = 12

Hence there are 12 distinct outcomes.

To learn more about outcome visit:

https://brainly.com/question/16925724

#SPJ1

Answer:

1

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

because it is not equal numbers

Answer:

We will prove the statement by mathematical induction.

Base case: For n=2, we have 5(2) + 9 = 19 and 6(2) = 12. Clearly, 19 ≤ 12 is false, so the base case does not satisfy the inequality.

Inductive step: Assume that for some integer k ≥ 2, 5k + 9 ≤ 6k holds. We will show that 5(k+1) + 9 ≤ 6(k+1) also holds.

Starting with the left-hand side of the inequality:

5(k+1) + 9 = 5k + 5 + 9 = 5k + 14

Since k ≥ 2, we can use the inductive hypothesis to write:

5k + 9 ≤ 6k

Adding 5 to both sides:

5k + 14 ≤ 6k + 5

Substituting back into the left-hand side of the original inequality:

5(k+1) + 9 ≤ 6k + 5 = 6(k+1)

Therefore, we have shown that if the statement holds for some integer k ≥ 2, then it also holds for k+1.

Conclusion: By the principle of mathematical induction, the statement 5n + 9 ≤ 6n holds for all integers n ≥ 2.

rate5* po and give thanks for more! your welcome po!

The perimeter of the polygon with the vertices is: 22 units.

To find the perimeter of a polygon, we need to add all the side lengths together.

Given the polygon has the vertices (-3, 1), (5, 1), (-3, 4), and (5,4)​, we need to find the distance between each vertices in order to find the perimeter of the polygon.

Let:

A = (-3, 1)

B = (5, 1)

C = (-3, 4)

D = (5,4)​

The vertices have been plotted on the graph attached below. Therefore:

Perimeter of the polygon = CD + BD + AB + AC

Perimeter = 8 + 3 + 8 + 3 = 22 units.

Learn more about the perimeter of polygon on:

https://brainly.com/question/3310006

#SPJ1

Answer:

The answer is $96

Step-by-step explanation:

I just finished this there is a graph with 8 and 3. There are 11 graph boxes in all (you add the boxes/ amount  together to get how much total they are).  8 +3=11. Then you divide 132/11=12. You are looking for clothes, so you multiple 12x8=which equals 96. So she spent $96 on clothes

The amount spent on clothes is $96.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Lexi spent $8 on new clothes for every $3 she spent on school supplies.

Lexi spent $132 on clothes and school supplies in all.

The ratio of spending is = 8/3

So, amount spend on new clothes is

= 8/11 x 132

= 8 x 12

= $96

Hence, the amount spent on clothes is $96.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ2

The length CT of the line segment is 38 units

From the question, we have the following parameters

CJ = 9x + 1

JT = 2x + 15

Also, we understand that:

Point J is the midpoint of segment CT.

This means that

CJ = CT

So, we have

9x + 1 = 2x + 15

Evaluate the like terms

7x = 14

So, we have

x = 2

Length CT is calculated as

CT = 9x + 1 + 2x + 15

So, we have

CT = 9 x 2 + 1 + 2 x 2 + 15

Evaluate

CT = 38

Hence, the length is 38 units

Read more about midpoints at

https://brainly.com/question/25886396

#SPJ1

This equation has no real solutions, since -1 ≤ cosθ ≤ 1.

The curve does not pass through the origin for any value of θ in the interval 0 < θ < 2π.

The polar coordinate r for point P, we substitute θ = 19π/16 into the equation r = 8 + 3cosθ:

r = 8 + 3cos(19π/16)

We can simplify cos(19π/16) using the identity cos(π - θ) = -cosθ:

cos(19π/16) = cos(π - π/16) = -cos(π/16)

Now, we can use the double-angle identity for cosine to simplify further:

cos(2θ) = 2cos²(θ) - 1

cos(π/8) = √[(1 + cos(π/4))/2] = √[(1 + √2/2)/2]

cos(π/16) = √[(1 + cos(π/8))/2] = √[(1 + √[(1 + √2/2)/2])/2]

r = 8 + 3cos(19π/16) ≈ 5.16.

The Cartesian coordinates for point P, we use the conversion formulas:

x = rcosθ

y = rsinθ

Substituting r and θ from part (1), we have:

x = (8 + 3cos(19π/16))cos(19π/16)

≈ -0.65

y = (8 + 3cos(19π/16))sin(19π/16)

≈ 4.99

The Cartesian coordinates for point P are approximately (-0.65, 4.99).

To determine how many times the curve passes through the origin when 0 < θ < 2π, we need to find the values of θ that make r = 0.

We can solve the equation 8 + 3cosθ = 0 as follows:

3cosθ = -8

cosθ = -8/3

For similar questions on curve

https://brainly.com/question/30452445

#SPJ11

The polar coordinate r for point P is 4.06, the Cartesian coordinates is approximately (-2.26, 2.99), and the curve does not pass through the origin when 0 < θ < 2π.

(1) To find the polar coordinate r for point P, we substitute θ = 19π/16 into the equation r = 8 + 3cosθ. Therefore, we have:

r = 8 + 3cos(19π/16) ≈ 4.06

Since r has to be greater than 0, we take the absolute value of r to get r = 4.06.

(2) To find the Cartesian coordinates for point P, we use the conversion formulas x = rcosθ and y = rsinθ. Substituting r = 4.06 and θ = 19π/16, we get:

x = 4.06cos(19π/16) ≈ -2.26

y = 4.06sin(19π/16) ≈ 2.99

Therefore, the Cartesian coordinates for point P are approximately (-2.26, 2.99).

(3) To determine how many times the curve passes through the origin when 0 < θ < 2π, we need to look for the values of θ where r = 0. Substituting r = 0 into the equation r = 8 + 3cosθ, we get:

0 = 8 + 3cosθ

cosθ = -8/3

However, the range of cosine is [-1, 1], so there are no values of θ that satisfy the equation cosθ = -8/3. This means that the curve never passes through the origin for 0 < θ < 2π.

To learn more about cartesian coordinates, click here: https://brainly.com/question/31327924

#SPJ11

Answer:

6

Step-by-step explanation:

it as a interior angle of a regular polygon is 23

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

For similar question on recursive formula.

https://brainly.com/question/31157431  

#SPJ8

The measure of ∠F in the regular nonagon is 140 degrees.

In a regular nonagon, all angles have the same measure since it is a regular polygon. To find the measure of ∠F, we need to divide the sum of the interior angles of a nonagon by the number of sides.

The sum of the interior angles of a polygon can be found using the formula:

Sum of interior angles = (n - 2) * 180 degrees

where n represents the number of sides.

For a nonagon with 9 sides, the sum of the interior angles is:

Sum of interior angles = (9 - 2) * 180 degrees = 7 * 180 degrees = 1260 degrees.

Since all angles in a regular nonagon have the same measure, we can find the measure of ∠F by dividing the sum of the interior angles by the number of sides:

Measure of ∠F = Sum of interior angles / Number of sides = 1260 degrees / 9 = 140 degrees.

Therefore, the measure of ∠F in the regular nonagon is 140 degrees.

For more question on measure visit:

https://brainly.com/question/25716982

#SPJ8

Answer:

x=12°, ∡B=48°

Step-by-step explanation:

∡A=∡B

5x-12=2x+24

5x-2x=24+12

3x=36

x=12°

∡B=2*12+24°=48°