Ralph’s classroom measures 12 meters in length. What is the length of the classroom in millimeters?

A. 11,000 mm
B. 12,000 mm
C. 12,500 mm
D. 13,000 mm

Answer:

Step-by-step explanation:

Yes, each input value is paired with only one output value.

The function represent the given graph is f(x)=0.67x+1.83.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

From the graph, the coordinate points are (1, 2.5) and (2.5, 3.5)

Here, slope m=(3.5-2.5)/(2.5-1)

= 1/1.5

= 0.67

Substitute m=0.67 and (x, y)=(1, 2.5) in y=mx+c, we get

2.5=0.67+c

c=1.83

Substitute m=0.67 and c=1.83 in y=mx+c, we get

y=0.67x+1.83

Therefore, the function represent the given graph is f(x)=0.67x+1.83.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ2

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

learn more on angles here: brainly.com/question/18854964

#SPJ1

The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

Learn more about bisecting of angles on https://brainly.com/question/23984603

#SPJ1

Hello,

\(\dfrac{d(2^x)}{dx} =2^x*ln(2)\\\)

Answer:

B

Step-by-step explanation:

This is the only pair of functions where \(f(g(x))=g(f(x))=x\).

Answer:

4.5 m

Step-by-step explanation:

if the two triangles are similar than it would mean that zy to xy is same ratio to cb to ab which means that the second triangle is only enlarge version of the first triangle. so divide 7.2 by 1.6 and multiply 1 to get the solution of 4.5

Answer:

0.03

Step-by-step explanation:

Answer:

.03 on Khan Academy

Step-by-step explanation:

The Parameterization of the line through the points (4, 5, 6) and (1, 2, 3) is: x = t, y = 2t, z = 3t, where 0 <= t <= 2.

To find the parameterization of the line through the given points we have to use the vector pointing from (0, 0, 0) to (1, 2, 3) and the scalar parameter to describe the line that passes through both (4, 5, 6) and (1, 2, 3).

Let's denote the vector from (0, 0, 0) to (1, 2, 3) as "d",

the scalar parameter as "t".

Then, the line can be parameterized as follows:

x = 0 + t * (1 - 0) = t, y = 0 + t * (2 - 0) = 2t, z = 0 + t * (3 - 0) = 3t

Now we need to find the value of t that corresponds to the point (4, 5, 6) by solving for t in the following equations:

x = 4 => t = 4,

y = 5 => 2t = 5 => t = 2.5

z = 6 => 3t = 6 => t = 2

As we have seen all three equations give us the same value of t so we can conclude that t = 2 corresponds to the point (4, 5, 6) on the line. So, the parameterization of the line through (4, 5, 6) and (1, 2, 3) is:

x = t, y = 2t, z = 3t, where 0 <= t <= 2

To more about the parameterization of line here:

https://brainly.com/question/28740237

#SPJ4

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

Learn more about population:https://brainly.com/question/30324262

#SPJ1

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer:

\(4n+5\)

As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.

Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.

This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".

As per the triangles,

Let JK be = x.

GF/GH = JI/JK

⇒ 11/18 = 36 /x

⇒ x = 36 × 18/11

⇒ x = 63.8.

To know more about similar triangles, visit:

https://brainly.com/question/14366937

#SPJ1

The 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).

What is confidence interval?

A confidence interval is defined as the estimate's mean plus and minus the estimate's range.

We are given that the mean(x) = 50.560, s = 1.68, and the sample size is over 30.

Using the formula, we get

95% confidence interval

⇒Mean(x) (+/-) 1.96 (1.68/v40)  

⇒(50.560 - 0.511 , 50.560 + 0.511)

⇒(50.049, 51.071)

99% confidence interval

⇒Mean(x) (+/-) 2.576 (1.65/v40)

⇒(50.560 - 0.672, 50.560 + 0.672)

⇒(49.888, 51.232)

Hence, the 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).

Learn more about confidence interval from the given link

https://brainly.com/question/20309162

#SPJ1

Answer:

Ishaan is correct because snakes with 17 1/4 inches occured most often  in the dot plot. Raj is incorrect because 17 3/4 didnt occur the most often but it was the highest length of the snake. Ishaan is correct.

Step-by-step explanation:

Answer:

it is parralel

Step-by-step explanation:

The slopes of 10x+5y=−5 and y=−2x+6 are both −2.Parallel

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

For more such questions on estimated value

https://brainly.com/question/27898355

#SPJ8

Answer:

it takes the company 46.4 days to collect payment for its credit sales.

Step-by-step explanation:

To find the days sales outstanding, we first need to calculate the average accounts receivable balance based on the credit sales made by the company. Since 75% of the sales are credit sales, the average accounts receivable balance can be calculated as follows:

Average accounts receivable = (Accounts receivable balance / Credit sales) x Number of days in the year

where the number of days in the year is usually taken as 365.

So, we have:

Credit sales = 75% x BC 5 million

= BC 3.75 million

Average accounts receivable = (Br 475000 / BC 3.75 million) x 365

= 46.4 days (rounded to one decimal place)

Therefore, the days sales outstanding for the company is approximately 46.4 days. This means that on average, it takes the company 46.4 days to collect payment for its credit sales.

Answer:

Ava

Step-by-step explanation:

because we multiply by 3 miles, 50 minutes, 0.83

and you get 124.5

its not maura because if you multiply 5 miles, by 1.25 hours you get 6.25

sorry if wrong! hope this helps!

Answer:

the answer is 8

Step-by-step explanation:

Total amount Ted wishes to spend this month is $5000.

Mahogany costs $450 per block, and he has already bought 7 blocks of spruce at $200 each.

So, money spent on spruce =  dollars

Money left after buying spruce =  dollars

Now as $450 will be spent on buying 1 block of mahogany.

So, $3600 will be spent

and then your answer will be 8

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

To determine the equation of a line, you may use two variations of the general form of a line.

These formulas are:

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

The standard form of a linear equation, also known as the “general form“, is:

ax+by=c

The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.

A few notes on Standard Form:

Let us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x

3y-5x=30

3y-5(0)=30

3y=30

y=10

Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.

To learn more about y-intercept:

https://brainly.com/question/14180189

#SPJ4

The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.

The function in this problem is defined as follows:

f(x) = 4x^4.

To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:

x = 4y^4.

Isolating the variable y, we have that:

y^4 = (x/4).

The inverse operation of the fourth power is the fourth root, hence:

\(y = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)

The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.

This means that the second statement is correct.

More can be learned about inverse functions at https://brainly.com/question/3831584

#SPJ1

The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

Learn more about expressions on

https://brainly.com/question/723406

#SPJ1

Answer:

The answer is y=3, my friend. I hope your grade gets better <3

Step-by-step explanation:

Answer:

The value of y is 3

Step-by-step explanation:

The probabilities are, 1) 0.25, 2) 0.25, 3) 0.5, 4) 0.5 and 5) 0.25

1) Calculating the ratio of favorable outcomes (blue or green marbles) to all possible outcomes (marbles) can help us determine the likelihood of pulling a blue or green marble from the given bag.

There are a total of 20 marbles in the bag:

3 blue marbles, 2 green marbles, 8 yellow marbles, 4 red marbles, and 3 orange marbles.

Favorable results equal 3 (blue) + 2 (green), which adds up to 5 (blue or green marbles).

The likelihood of drawing a blue or green marble is thus:

Probability = Positive results / Total results = 5 / 20 = 1/4 = 0.25

2) There are 52 cards altogether in a normal deck, with 13 cards in each of the four suits (hearts, diamonds, clubs, and spades).

Calculating the ratio of the number of hearts to the total number of cards is necessary because we want to know the likelihood of selecting a card that has a heart on it.

There are 13 hearts total.

As a result, the likelihood of selecting a card with a heart on it is:

Probability is calculated as follows: 13/52 (the number of hearts) or 1/4 (0.25).

3) You need to know the total number of possible outcomes as well as the number of favorable outcomes if you have the choice of receiving an A, B, C, or F for a paper and you want to calculate the likelihood of receiving an A or B.

There are four alternative outcomes in this situation (A, B, C, and F), and there are two (A and B) that are more favorable.

Consequently, the likelihood of receiving an A or B on the paper is:

P(A or B) = Number of positive results / Total number of possible results = 2 / 4 = 0.5

4) There are only two outcomes that can occur when a fair coin is flipped: heads or tails.

Since the coin is impartial and fair, there is an equal chance of receiving heads or tails.

The likelihood of achieving a heads or tails result on a coin flip is therefore:

Probability = 1 (number of favorable outcomes) / 2 (total number of possible outcomes) = 1/2 = 0.5

5) Calculate the ratio of the number of favorable outcomes (pulling a 3 or a 7) to the total number of possible outcomes (all numbers) if the bag includes the numbers 1–8 inclusive and we want to know the likelihood of drawing a 3 or a 7.

The bag has the following sum of numbers: 8 total numbers

If you draw a 3 or a 7, you have the following chances of success:

Positive results: 2 (3 and 7).

As a result, the likelihood of getting a 3 or a 7 is:

Probability = Positive results / Total results = 2 / 8 = 1/4 = 0.25

Learn more about Probability click;

https://brainly.com/question/31828911

#SPJ1

120 different ways can you choose your dinner.

Given that, your mom suggested ten different choices for you to eat for dinner over the next week.

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

The combination formula is \(nC_{r} =\frac{n!}{r!(n-r)!}\)

Here, n= number of sample points 10

r= number of sample points in each combination 7

Now, \(10C_{7} =\frac{10!}{7!(10-7)!}\)

⇒\(10C_{7} =\frac{10!}{7!.3!}\)=120

Hence, 120 different ways can you choose your dinner.

To learn more about the combinations visit:

https://brainly.com/question/13387529.

#SPJ2

Explanation

Step 1

Let

Length=15 cm

width=10 cm

depth=3.5 cm

radius = 0.5 cm

depth depression=1.4

draw

Step 2

so, the volume of the wood is

I hope this helps you

Answer:

Vertex: (-1, 0)

Axis of Symmetry: x = -1

Step-by-step explanation:

Use a graphing calc.

A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

Find out more on equation solutions at https://brainly.com/question/2228446

#SPJ1