Solve for all solutions of the equation. Show all work for full credit.


x^3 - 8 = 0


I'm mainly struggling with getting it into perfect cube form

The values of the two numbers of the system of equations is x = 6 and y = -9.

First, we are told that "three times the sum of two numbers is 15". This can be written as:

3(x + y) = 15

Next, we are given that "one of the numbers is 9 more than one-third of the other number". We can break this down into two parts:

"one of the numbers": this refers to either x or y, but we don't know which one yet. Let's assume that it refers to x.

"9 more than one-third of the other number": this means that we take one-third of the other number (y), add 9, and that gives us x. In equation form, this is:

x = (1/3)y + 9

Now we have two equations with two variables:

3(x + y) = 15

x = (1/3)y + 9

We can use these equations to solve for x and y. There are different methods for solving a system of equations, but one common method is substitution.

Using the second equation, we can solve for x in terms of y:

x = (1/3)y + 9

3x = y + 27

y = 3x - 27

Now we can substitute this expression for y into the first equation:

3(x + y) = 15

3(x + 3x - 27) = 15

Simplifying this equation gives:

12x = 72

x = 6

Finally, we can use the equation we found for y in terms of x to find the value of y:

y = 3x - 27

y = 3(6) - 27

y = -9

So the two numbers are x = 6 and y = -9.

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Answer:

Hey, ill do like 2 and you can do the rest

percent decrease or change is

new-old over old

So like #1

1) 60 is old, 48 is new

so 48-60=-12

now over old which is 60

-12/60

-1/5

20 percent decrease

2) 180 is old, 108 is new

108-180=-72

-72/180

40 percent decrease

Step-by-step explanation:

Answer:

(a) 25

(b) $4816

Step-by-step explanation:

Let's say the starting amount of ducks is d, and the starting amount of chickens is c. Since there are only ducks and chickens, we can say that d + c= 455.

Next, the farmer sells 2/5 of the ducks, so we subtract 2/5 of the ducks so that the ending duck amount is d - (2/5)d = (3/5) d

After that, the farmer buys another 104 chickens, so we add 104 chickens to the current amount of chickens to get the ending chicken number as 104+c

Given the ending duck and chicken count, we can say that the ending farm animal count (we can represent this as a) is (3/5)d + 104 + c = a

The number of ducks is 2/3 the total number of animals at the end, so (3/5)d = (2/3)a

Let's list our equations out so it is easier to solve:

d+c = 455

(3/5)d + 104 + c = a

(3/5)d = (2/3)a

We have three equations and need to solve for three variables. One common variable in all three equations is d, so it might help if we put everything in terms of d.

Starting with d+c=455, if we subtract d from both sides, we get c=455-d. We can substitute this in the second equation to get

(3/5)d + 104 + 455 - d = a

-(2/5)d + 559 = a

(3/5)d = (2/3)a

Next, we can substitute for a. If we multiply both sides by 3 and then divide by 2 in (3/5)d = (2/3)a , we get

(9/10)d = a

Substitute that in to the second equation to get

-(2/5)d + 559 = (9/10) d

-(4/10)d + 559 = (9/10) d

add (4/10)d to both sides to isolate the variable and its coefficient

(13/10)d = 559

multiply both sides by (10/13) to isolate the coefficient

d = 430

Therefore, the starting number of ducks is 430 and the starting amount of chickens is 455-430 = 25

For (b), 2/5ths of the ducks are sold, so this is (430) * (2/5) = 172. Each duck is sold for 28 dollars, so this is 172*28=$4816 as the total price

Answer:

A

Step-by-step explanation:

We are given a parabola with a vertex point of (2, 1) and a y-intercept of y = 4.

And we want to determine another point on the parabola.

Recall that a parabola is symmetric along the axis of symmetry, which is the x-coordinate of the vertex.

Note that since the y-intercept of the parabola is y = 4, this means that a point on our parabola is (0, 4).

To get from (2, 1) to (0, 4), we move two units left and three units up.

Since the parabola is symmetric along axis of symmetry, another point on the parabola will be two units right and three units up. This yields (2 + 2, 1 + 3) or (4, 4).

Our answer is A.

Answer:

M=-10/4

M=-5/2

-5/4+m=-15/4

Step-by-step explanation:

Original equation:

3/4+m=-7/4

=-5/2

the other answers mentioned above is also -5/2

Hope that helps!

The flow rate through the pipe is approximately 1.132 L/s (or 1132 mL/s), and the pressure difference between the tanks is approximately 225,400 Pa (or 225.4 kPa).

To calculate the flow rate through the pipe, we can use the formula for laminar flow in a pipe:

Q = (π * ΔP * r⁴) / (8 * μ * L)

Where Q is the flow rate, ΔP is the pressure difference, r is the radius of the pipe, μ is the viscosity of the fluid, and L is the length of the pipe.

Given that the diameter of the pipe is 10 cm, the radius is 5 cm (or 0.05 m). The viscosity of water is 10⁻⁶ m²/s. The length of the pipe is 50 m.

Plugging these values into the formula, we get:

Q = (π * ΔP * (0.05)⁴) / (8 * (10⁻⁶) * 50)

Simplifying the equation, we find that ΔP ≈ 225,400 Pa (or 225.4 kPa) and Q ≈ 1.132 L/s (or 1132 mL/s).

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Answer:

lol i would listen to music or do/stay somewhere comfortable it helps me  

Step-by-step explanation:

The median is the best measure of center, and it equals 19.

The median is a measure of central tendency that represents the middle value of a dataset when it is arranged in order. Specifically, it is the value that separates the dataset into two halves, with half of the data falling below the median and half of the data falling above the median.

The appropriate measure of center for the given data is the median, which is the middle value when the data is arranged in numerical order.

From the given box plot, we can see that the box extends from 17 to 21 on the number line, with a line in the box at 19. This means that 50% of the data falls between 17 and 21, with the middle value (median) being 19.

Therefore, the correct answer is:

The median is the best measure of center, and it equals 19.

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\(\huge\text{Hey there!}\)

\(\huge\boxed{\dfrac{(9 \times5) 2}{3}}\)

\(\huge\boxed{9 \times 5 = \bf 45}\)

\(\huge\boxed{ = \dfrac{45(2)}{3}}\)

\(\huge\boxed{45(2) = \bf 90}\)

\(\huge\boxed{= \dfrac{90}{3}} \\\\\huge\boxed{= \dfrac{90\div3}{3\div3}}\\\\\huge\boxed{= \dfrac{30}{1}}\)

\(\huge\boxed{= \bf 30}\)

\(\huge\boxed{\rm{Answer: 30}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\huge\boxed{\frak{Amphitrite1040:)}}\)

Answer:

30

Step-by-step explanation:

Multiply 9 and 5 to get 45.

Multiply 45 and 2 to get 90.

Divide 90 by 3 to get 30.

The linear equations for cost price and selling price are c = 3x + 35 and  y = 5x.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let Max make x cups of lemonade cup.

According to given conditions,

Cost of 1 cup of lemonade = $3.

Also, Max pay for renters fee = $35.

The cost of x cups of lemonade = 3x

The total cost c = 3x + 35

Since, Max sells lemonade for $5 per cup.

Let the selling price is represented by y,

Then selling price y = 5x

Hence, linear equations for cost price and selling price are c = 3x + 35 and  y = 5x.

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Answer: -0.6 recurring

Step-by-step explanation:

-2/3 = -0.6 recurring

Answer:

axis of symmerty = x coordinate of vertex = -b/2a

-6/2 = -3 = x

vertex = (-3,y)

-3^2 +6(-3)

9-18 = -9 = y

(-3,-9) = vertex

Step-by-step explanation:

Answer:

She gets a job as a lawyer after graduation.

Step-by-step explanation:

Answer:

211.75

Step-by-step explanation:

179.99/.85=211.75

An appropriate tree diagram.
            /    \

           /      \

   0.6 /         \ 0.4

       /             \

     R               NR

    / \                /  \

  /     \             /       \

0.6    0.4    0.6    0.4

 R     NR     R        NR

Where R represents rain and NR represents no rain.

By using the multiplication principle, we can calculate the probabilities of all the outcomes by multiplying the probabilities along each path. The probability of there being no rain today and no rain tomorrow is the probability of following the path NR-NR, which has a probability of

P(NR-NR) = P(NR|NR) * P(NR) = 0.4 * 0.4 = 0.16

Hence, the probability that there will be no rain today and no rain tomorrow is 0.16 or 16%.

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The required inequality is \(p\geq2\)

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by \(> , < , \geq, \leq\)

A one degree inequation is known as linear inequation.

On the day of the test, the teacher instructed the students to take out no less than 2 pencils from their backpacks.

Let the number of pencils be p

So the required inequality is \(p\geq2\)

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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The probability that a person arriving to use the machine will find it idle is 1/3 or 0.3333. Option a is correct.

Use the concept of an M/M/1 queue to calculate the probability, which models a single-server queue with exponential interarrival times and exponential service times.

In this case, the interarrival time follows an exponential distribution with a rate parameter of λ = 5 persons per hour (or 1/12 persons per minute). The service time (copying time) also follows an exponential distribution with a rate parameter of μ = 1/8 persons per minute (since each person uses the machine for an average of 8 minutes).

In an M/M/1 queue, the probability that the system is idle (no person is being served) can be calculated as:

P_idle = ρ⁰ × (1 - ρ), where ρ is the traffic intensity, defined as the ratio of the arrival rate to the service rate. In this case, ρ = λ/μ.

Plugging in the values, we have:

ρ = (1/12) / (1/8) = 2/3

P_idle = (2/3)⁰ × (1 - 2/3) = 1/3

Therefore, the probability is 1/3 or approximately 0.3333.

Thus, option (A) is the correct answer.

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Answer:

35 + 37

Step-by-step explanation:

if you try any other number like: 37 + 39 = 76 that doesn't work well because its higher that 75.

The statement means: that the total number of purchases made by kids at home is medium to large in comparison to other categories.

The red dot in the column labeled kidhome and the row labeled totalnumpurchases indicates that the total number of purchases made by kids at home is higher than the average for all other categories. This indicates that kids are more likely to purchase items from home than from other places. This could be due to the convenience of being able to shop from the comfort of their own home, the ability to compare prices and products online, or the availability of discounts and bonus offers.

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The minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

A company's unit cost is the cost of producing, storing, and selling one unit of a specific product. Unit costs encompass all fixed and variable production costs. A cost unit is a quantity measuring unit for a product or service.

A unit cost is the overall cost incurred by a business to manufacture, store, and sell one unit of a specific product or service. Unit costs are the same as cost of goods sold (COGS). This accounting metric incorporates all fixed and variable expenses related with the manufacture of a good or service.

Given,

C(x)=1.2x²-600x+82,738

Minimum value \(C_{min}\)=c-(b²/4a)

Where a=1.2, b=-600, c=82738

\(C(x)_{min}\)=82738-((-600)²/4(1.2))

=82738-(360000/4.8)

=7738

Therefore, the minimum unit cost is 7738.

Hence, the minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

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Answer:

get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.

:D thanks :D

The probability that the sample mean would be greater than 87.78 wpm is  0.8933.

The problem  provides information on the mean and variation of the amount of words per minute (wpm) read by sixth graders, and it asks for the likelihood of receiving a sample mean wpm bigger than a particular value if a random sample of 94 sixth graders is collected.

By using a standard normal distribution table or calculator and estimating the sampling distribution of the sample means as being normal using the central limit theorem, we can find the standard deviation of the sampling distribution and calculate the probability of obtaining a sample mean wpm that is less than or equal to the given value by subtracting this value from 1.

Calculations result in a likelihood of 0.8933, which means there is a good chance the sample mean wpm will be higher than the value provided.

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Answer:

ディクビッチを吸う?

Step-by-step explanation:

The use of experimental and mathematical techniques to formulate and test hypotheses is known as the scientific method.

Hypothesis testing is a process that evaluates the strength of evidence from a sample and provides a framework for making population-related decisions.

A statistical hypothesis test is a statistical inference method used to determine whether the data at hand sufficiently supports a specific hypothesis. We can make probabilistic statements about population parameters thanks to hypothesis testing.

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population parameter. The analyst's methodology is determined by the nature of the data and the purpose of the analysis. Using sample data, hypothesis testing exists utilized to assess the plausibility of a hypothesis.

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The value of x from given quadrilateral ABCD is 27°.

In the given quadrilateral ABCD, ∠A=3x+5, ∠B=2x+15, ∠C=4x and ∠D=4x-10.

We know that, the sum of interior angles of quadrilateral is 360°.

Here, ∠A+∠B+∠C+∠D=360°

3x+5+2x+15+4x+4x-10=360°

13x+10=360°

13x=350°

x=350/13

x=26.9

x≈27°

Therefore, the value of x from given quadrilateral ABCD is 27°.

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The measure of length of SU is 18.7

Since a tangent to a circle makes a 90º angle to the origin, we can trace radius, and state that this is 13 units long. Therefore we have here two congruent triangles.

Given that OT=8 and OS=17,

We need to find SU.

To write a property that relates a tangent and a secant from one point

So, ST = SU

SU^2 = GF^2 + OG^2

SU^2 = 8^2 + 17^2

SU^2 = 289+ 64

SU^2 = 353

SU= 18.7

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Step-by-step explanation:

tan2x = sin2x/cos2x

we know that ,

Since, tan2x = 2sinx*cosx/cos²x- sin²x

Dividing by cos²x in numerator and denominator.

We get ,

Answer:

It's 46°

Step-by-step explanation:

\(m \angle AMY = 62 - 37 = 25 \degree\)

\(m \angle CME = 159 - 138 = 21 \degree\)

\({ \tt{m \angle AMY + m \angle CME = 21 \degree + 25 \degree}} \\ { \tt{ = 46 \degree}}\)

The sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the picture,

The measure of angle PMY = 62 degrees

The measure of angle PMA = 37 degrees

The measure of angle AMY = Angle PMY - Angle PMA = 62 - 37

= 25 degrees

Similarly,

Angle CME = 79 - 21 = 58 degrees

m∠AMY+m∠CME = 25 + 58 = 83 degrees.

Thus, the sum of the angles m∠AMY and m∠CME is 83 degrees option (B) is correct.

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