What is the common monomial factor of the expression 3x²+6x?

Answer:

1

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 )

y = x ← is in slope- intercept form

with slope m = 1

Answer:

1

Step-by-step explanation:

Answer:

$4036.8

Step-by-step explanation:

Given data

Principal= $3,000

Rate=16% = 0.16

Time= 2 years

The expression for the compound interest is

A=P(1+r)^t

substitute our data into the expression to solve for A

A=3000(1+0.16)^2

A=3000(1.16)^2

A=3000*1.3456

A=$4036.8

Hence the savings after 2 years is $4036.8

Answer:

c = 6√2

Step-by-step explanation:

The following data were obtained from the question:

Angle θ = 30°

Opposite = 3√2

Hypothenus = c

The value of 'c' can be obtained by using the sine ratio as shown below:

Sine θ = Opposite /Hypothenus

Sine 30° = 3√2/c

Cross multiply

c × sine 30° = 3√2

Divide both side by sine 30°

c = 3√2 / sine 30°

But: sine 30° = 1/2

c = 3√2 / sine 30°

c = 3√2 ÷ 1/2

c = 3√2 × 2

c = 6√2 yard

Therefore, the value of 'c' is 6√2 yard.

A

y=mx+b

m is the slope

b the point where y is at when x is on 0 so yourpoint plot is (0,25) ( 1,38) ect

Answer:

A is the answer Slope is 18 and starts at 25 will increase by 18 every month.

Step-by-step explanation:

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

"Information available from the question"

In the question:

1. Pay $0. 49, plus an additional $0. 019 per minute.

2. Pay $0. 059 per minute.

Now, According to the question:

How to determine the inequality that represents the statement?

We have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.

2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x.

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The balanced chemical equation for the reaction between butane (C4H10) and oxygen (O2) to produce carbon dioxide (CO2) and water (H2O) is: C4H10(g) + 13/2 O2(g) -> 4 CO2(g) + 5 H2O(g)

According to the balanced equation, for every 1 mole of butane (C4H10) reacted, 4 moles of carbon dioxide (CO2) are produced. Given that only 0.812 moles of butane (C4H10) are available to react, we can determine the amount of carbon dioxide (CO2) produced by multiplying the number of moles of butane by the mole ratio of carbon dioxide to butane.  Number of moles of carbon dioxide = 0.812 moles C4H10 × (4 moles CO2 / 1 mole C4H10) Calculating this, we find:

Number of moles of carbon dioxide = 3.248 moles CO2

Therefore, if only 0.812 moles of butane (C4H10) are available to react with an excess of oxygen, approximately 3.248 moles of carbon dioxide (CO2) will be produced.

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Answer: the model car sold for $34, at a 15% discount.

Step-by-step explanation:

first multiply 5% by 3 days, for a total discount of 15%.

then apply the 15% discount to the $40 car, arriving at a price of $34.

Answer:

The car sold for 34 .

Step-by-step explanation:

.

.

.

.

.

Answer: nope!

Step-by-step explanation: there are 4 quarts in a gallon and we can see by adding the mango juice, there will be no space!

Water (2 quarts) mango juice (2 quarts) equals a gallon

Ginger ale = one gallon

That’s already 2 gallons and we still have the 2 pints of pineapple juice!

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer:

25x-4

Step-by-step explanation:

5x^2=5x multiplied by 5x= 25x

25x-4  is simpliest form and evaluated

Have a  great day, and good luck!

Answer:

36 Degrees

Step-by-step explanation:

First the entire angle of BAC is 71 degrees, so all you have to do is subtract the known angle (2) by the entire angle. 71-35= 36. So that means the measure of angle 1 is 36 degrees.

The if statement assigns a value of 10000 to the variable "bonus" if the value of the variable "goodssold" exceeds 500000.

To achieve this, we can use an if statement in programming. An if statement allows us to conditionally execute a block of code based on a specified condition. In this case, the condition is whether the value of the variable "goodssold" is greater than 500000. If the condition evaluates to true, the code inside the if statement will be executed, and the variable "bonus" will be assigned a value of 10000.

Here's an example of how the if statement can be written in Python:

if goodssold > 500000:

   bonus = 10000

In this code snippet, the variable "goodssold" represents the number of goods sold, and we compare its value to 500000 using the greater than operator (>). If the condition is true, the code inside the if statement is executed, and the variable "bonus" is assigned a value of 10000. If the condition is false, the code inside the if statement is skipped, and the variable "bonus" retains its previous value (if any).

By using this if statement, we can dynamically assign a bonus of 10000 to the variable "bonus" based on the value of the variable "goodssold" being greater than 500000. This allows for flexible and conditional handling of the bonus calculation in the program.

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You calculate wall-length like this.

Measure the length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length. Subtract areas that will not be covered.

Answer:

To make 700 copies the machine requires 5 minutes and 36 seconds.

Step-by-step explanation:

Given, A machine makes 500 copies in 4 minutes.

∴ The time required to make 1 copy is = (4/500) minutes.

= 0.008 minutes.

So, the time required to make 700 copies is,

= 0.008×700 minutes.

= 5.6 minutes or 5 minutes 36 seconds.

Answer:

A. x= 4

Step-by-step explanation:

\(2x + 2 = 10\)

Collect like terms and simplify

\(2x =10-2\\2x =8\)

Divide both sides of the equation by 2

\(\frac{2x}{2} = \frac{8}{2} \\\\x = 4\)

The probability of landing on 2 after landing on 5 with a fair 6-section spinner is 1/36.

We need to know the probability of landing on 2 after landing on 5, given a fair spinner with 6 sections, which ic calculated as follows.

1: Determine the probability of landing on 5 first.

Since the spinner is fair and has 6 sections, the probability of landing on any single number is 1/6. Therefore, the probability of landing on 5 is 1/6.

2: Determine the probability of landing on 2 after landing on 5.

Since the spinner is fair, each spin is independent of the previous spin. So, the probability of landing on 2 after landing on 5 is still 1/6.

3: Calculate the joint probability.

To find the probability of both events happening (landing on 5 and then landing on 2), you need to multiply their probabilities: (1/6) * (1/6) = 1/36.

So, the probability of landing on 2 after landing on 5 is 1/36.

Note: The question is incomplete. The complete question probably is: Suppose that we have the spinner. What is the probability of landing on 2 after landing on 5. Assume that the spinner is fair and has 6 sections.

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EXPLANATION

We should think about it in terms of shortest paths on a lattice, such as the one on the left with example coordinates. The number of shortest paths to each lattice coordinate is seen in the grid on the right, but we'll get to that later.

Each rossing point of the grid lines has integer coordinates (x,y), where x represents the horizontal coordinate and y represents the vertical coordinate. Imagine traversing a path from the origin O(0,0) to any coordinate (x,y) that runs through the grid lines, following the shortest path to (x,y). These are the "shortest paths."

There may be several such paths leading to the same general point (x,y), but they all have x horizontal and y vertical measures. The target is to count the total number of shortest paths linking each (x,y) point on the lattice. The first method is to simply count the shortest paths between each lattice point. However, we don't go about it in a random manner; instead, we take the simple route and begin at the origin, working our way through and up the grid:

-There is 1 shortest path from (0,0) to (0,0) this is the path where we don't move.

-There is 1 shortest path from (0,0) to (1,0) and 1 shortest path to (0,1) in fact we can see that there will be only 1 path to each point on the x-axis and each point on the y-axis. So we will fill in those numbers on each lattice point along axes (like the right hand grid above).

Answer:

b

Step-by-step explanation:

The IR spectrum described could be an alkyl chloride with a carbonyl group, such as chloroform (\(CHCl_{3}\)).

The IR spectrum described suggests the presence of several functional groups in the compound.

The strong, broad band in the 3600 to 3100 inverse centimeter range corresponds to the stretching vibration of the O-H bond in alcohols, while the strong, spiked peak in the 3000 to 2800 inverse centimeter range corresponds to the stretching vibration of the C-H bond in alkanes. The weak peak near 1850 inverse centimeters corresponds to the stretching vibration of the C=O bond in ketones, while the sharp peak near 1640 inverse centimeters corresponds to the stretching vibration of the C=C bond in alkenes.

The series of spiked bands in the 1500 to 1200 inverse centimeter range corresponds to the bending vibrations of the C-H bond in alkanes, while the two strong bands at 990 and 910 inverse centimeters correspond to the stretching vibration of the C-Cl bond in alkyl chlorides.

Based on this information, the compound that matches the IR spectrum described could be an alkyl chloride with a carbonyl group, such as chloroform (\(CHCl_{3}\)).

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The solution to the system of equations y = 2x - 1 and y = -1/3x + 3 is given as follows:

(1.714, 2.429).

The system of equations for this problem is defined as follows:

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

(1.714, 2.429).

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Answer:

KJL and IJL

Step-by-step explanation:

The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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The cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.

Based on the information given, we can represent the pure-breeding colors and shapes as follows:

Red color (RR) is dominant over white color (rr)

Long shape (LL) is dominant over round shape (ll)

We can also represent the hybrids as:

Purple color (Rr) is a result of a cross between red and white pure-breeding colors

Oval shape (Ll) is a result of a cross between long and round pure-breeding shapes

Given that we are crossing a red oval (RrLl) with a purple oval (RrLl), we can set up a Punnett square to determine the possible genotypes and phenotypes of their offspring:

RL Rl rL rl

RL RRLl RRll rRLL rRlL

Rl RRLl RRll rRLL rRlL

rL RrLL RrLl rrLL rrLl

rl RrLl Rrll rrLl rrll

From the Punnett square, we can see that there are nine possible phenotypes, which can be grouped by color and shape:

Red long (RRLL, RRLl, RrLL, RrLl): 4/9 or about 44.4% chance

Red oval (RRll, Rrll): 2/9 or about 22.2% chance

Purple long (rRLL, rRlL): 2/9 or about 22.2% chance

Purple oval (rrLL, rrLl, rrll): 1/9 or about 11.1% chance

Therefore, the cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.

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Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

The system has been balanced using lean techniques to meet the takt time as much as possible and the facility works 1 shift of 8 hours with two 15 min breaks, so the daily demand is 2700 units / day.

In the given question, the system has been balanced using lean techniques to meet the takt time as much as possible and the facility works 1 shift of 8 hours with two 15 min breaks.

We have to find the daily demand.

The figure is given below:

Total operating time of the facility = 8 hours - 2 breaks of 15mins each

Total operating time of the facility = 480 mins - (2*15 mins)

Total operating time of the facility = 480 mins - 30 mins

Total operating time of the facility = 450 minutes.

Time taken for 1 output = Cycle time of system = Bottleneck of the supply-demand matched process = 10 seconds.

Total output = Total operating time / Time taken for 1 output

Total output = 450 minutes / 10 seconds

Total output = 2700 units / shift.

Since the market's demand and operational time are in balance, all production is created using the pull principle.

That means; Supply = demand.

Therefore the market demand for the product = 2700 units / day.

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