Write in slope-intercept form an equation of the line that passes through the given points.

Answer:

Well, 30% is equal to 0.3.

0.4 > 0.3

Step-by-step explanation:

Hope that this answers your question. If not please put any further questions below.

Have a great rest of your day/night!

Answer:

B

Step-by-step explanation:

Answer:

A. 1/6

B. 1

Step-by-step explanation:

A. 9/j x j/54= 9/54 = 1/6

B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1

Answer:

a. 3/2

b. 1

Step-by-step explanation:

A. To simplify the expression, we can cancel out the common factor of j:

9/j * j/54 = (9/1 * 1/6) = 3/2

Therefore, 9/j * j/54 simplifies to 3/2.

B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,

(a/b) ÷ (c/d) = (a/b) x (d/c)

Using this rule, we can simplify the given expression as follows:

6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)

             = (6/8) x (4/3)  

             = 2/2

             = 1

SOLUTIION

The given equations are

This further gives

Therefore the solutions are:

From the option considering the value q=8, it follows

And

Therefore the solution is

Overall, equations provide a mathematical representation and understanding of relationships, while tables present data points in a structured format.

When comparing an equation and a table, you can examine their characteristics, purpose, and the information they provide. Here are some points to consider when making comparisons:

Representation:

An equation represents a mathematical relationship between variables using symbols and mathematical operations. A table presents data or values in a structured format, typically organized into rows and columns.

Communication of Information:

Equations provide a concise and general representation of a relationship, allowing for predictions, calculations, and modeling. Tables present specific data points or values, providing a visual representation of how variables are related or how they change.

Variables:

Equations involve variables, which can be manipulated to explore different scenarios and analyze the relationship between quantities. Tables display specific values or data points for variables, showing how they vary or are related based on the given information.

Visualization:

Equations can express relationships symbolically and provide a mathematical understanding, but they may not offer a visual representation of data. Tables provide a visual representation of data points, allowing for a quick overview and easy comparison of values.

Flexibility:

Equations offer flexibility in terms of adjusting variables and parameters to explore different scenarios and make predictions. Tables can be easily modified or expanded by adding or removing data points to reflect new observations or additional information.

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Answer:

-17

Step-by-step explanation:

bxbxnxjdjxjxjxjdndndndp

2√3

To simplify the given radical expression √363 - 3√27, follow these steps:

Step 1: Find the prime factorization of the numbers inside the radicals.
- 363 = 3 × 121
- 27 = 3 × 3 × 3

Step 2: Simplify the square roots.
- √363 = √(3 × 121) = √(3 × 11²) = 11√3
- 3√27 = 3 × √(3 × 3 × 3) = 3 × 3√3 = 9√3

Step 3: Combine the terms with the same radicals.
- 11√3 - 9√3

Step 4: Simplify by combining the coefficients.
- (11 - 9)√3 = 2√3

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Answer:

Step-by-step explanation:

either 150.7 or 40

Answer:

231.1

Step-by-step explanation:

Round up since 6 is the next number.

Answer:

Step-by-step explanation:

in the dark I see two congruent triangles, so x = 53 °

Using the Central Limit Theorem, considering the higher sample size, the sample of 75 students, with a mean of 22.5, is a better representation.

It states that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard error \(s = \frac{\sigma}{\sqrt{n}}\).

A higher sample size leads to a smaller standard error, hence the sample of 75 students, with a mean of 22.5, is a better representation.

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Answer:

This is my answer:The second one is better. the entire drama club one was better because the sample is large enough .It also comes from a bigger and more varied group of students thus it is less likely to be biased.

Step-by-step explanation:

Edge test and I got it right :D

Answer:

25

Step-by-step explanation:

.45x25+10.00= 21.25

.65x25+5.00=21.25

Uhmm I think around 70 days or 90

I'm not sure

Answer:

6 days

Step-by-step explanation:

1 boy workload = 1/2 1 man workload

2 boys workload = 1/2*2 = 1 man workload

so 3 men + 2 boys workload = 4 men workload

3 men .....   8 days ... 24man-days to build

4 men .....   x days ... 24man-days to build

x=24/4=6

We have a problem of a sysmtem of equation

x is the number tickets sold of general admission

y is the number o tickets sold for seniors

The first equation is about the number of ticktes sold

x+y=155

the second equation is about the amount of money

12x+9y=1680

we isolate x of the first equation

x=155-y

we substitute the equatio above in the second equation

12(155-y)+9y=1680

1860-12y+9y=1680

we isolate the y

-3y=1680-1860

-3y=-180

y=-180/-3

y=60

then we substitute the value of y in order to find x

x=155-y

x=155-60

x=95

They sold 95 tickets of general admission

The expressions which are equivalent to 35 + 30s - 45t are:

5(7+6s−9t)

(−35−30s+45t)×(−1)

The correct answer options are options B and C

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

We have to determine equivalent expression:

35 + 30s - 45t

Check all options

A. 7⋅(5+30s−45t)

= 35 + 210s - 315t

False

B. 5(7+6s−9t)

= 35 + 30s - 45t

True

C. (−35−30s+45t)×(−1)

= 35 + 30s - 45t

True

D. 10×(3.5+3s−4.5)

= 35 + 30s - 45

False

E. ( 35/2 - 15s + 45/2t) ⋅ (-2)

= (17.5 - 15s + 22.5t) (-2)

= -35 + 30s - 45t

False

Therefore, the equivalent expression is an expression which has an equal value to each other.

Complete question:

Which expressions are equivalent to 35 + 30s - 45t?

A. 7⋅(5+30s−45t)

B. 5(7+6s−9t)

C. (−35−30s+45t)×(−1)

D. 10×(3.5+3s−4.5)

E. ( 35/2 - 15s + 45/2t) ⋅ (-2)

choose 2 answers

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Answer:

1- c:25

2-cant help

3- A:2,8

4-cant help

Given DC is tangent to circle N at point C: m∠DCN < m∠BAN and BE is tangent to Circle N at point A, is True

(1) From the diagram, we can see that angles ∠DCN and ∠BAN are vertical angles, so they are equal in measure. Since DC is tangent to Circle N at point C, we know that m∠DCN is a right angle. Therefore, m∠DCN = 90° and m∠BAN = 90° - m∠DCN. Since m∠DCN is positive, we have m∠BAN < 90°, which implies that m∠DCN < m∠BAN. So, statement (1) is true.

(2) Since DC is tangent to Circle N at point C, we know that angle ∠CBE is a right angle, and hence BE is perpendicular to CE. Also, we know that CE is the radius of Circle N, so it is perpendicular to NB. Therefore, BE is tangent to Circle N at point A. So, statement (2) is true.

(3) The length of NB cannot be determined from the given information. We only know that CE = 6, but we do not know the radius of Circle N or the position of point B along the circle. Therefore, we cannot determine the length of NB. So, statement (3) cannot be determined.

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Complete question:

Given DC is tangent to circle N at point C, which statements are true?

- m∠DCN < m∠BAN

- BE is tangent to Circle N at point A.

- NB ≈ 6.1

Applying the volume of cylinder, Ramon can pour approximately 697.65 cubic inches of juice into 6 cups.

To calculate the volume of each cup, we can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, h is the height, and π is approximately 3.14.

Given that the diameter of each cup is 4.6 inches, we can find the radius by dividing the diameter by 2: r = 4.6 / 2 = 2.3 inches.

Plugging in the values into the volume formula, we get: V = 3.14 * (2.3)² * 7.

Calculating this expression, we find that the volume of each cup is approximately 116.27 cubic inches.

To find the total amount of juice that Ramon can pour into 6 cups, we multiply the volume of one cup by the number of cups: 116.27 * 6 = 697.62 cubic inches.

Rounding to the nearest hundredth, we get approximately 697.65 cubic inches.

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Answer:

The answer is 5000 dollars

Step-by-step explanation:

The purchase price of the copy machine will be $5000.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. Given For income tax purposes, a man uses a method called straight-line depreciation to show the loss in value of a copy machine he recently purchased. He assumes that he can use the machine for 7 years.

From the given graph it is observed that the rate of the copy machine depreciates every year and in the 7th year, the rate is $2000. The depreciating line is starting from point 5 of the graph. Point 5 on the graph represents $5000 then the cost of the copy machine is $5000.

Therefore, the purchase price of the copy machine will be $5000.

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Answer:

10

Step-by-step explanation:

We need to find the greatest number of student among whom 120 oranges and 130 apples can be divided equally.

​It means we need to find the HCF of 120 and 130.

HCF is highest common factor.

The HCF of 120 and 130 is 10.

So, the greatest number of student is 10.

Answer:

4 and -2

Step-by-step explanation:

1+3=4

1-3=-2

Answer:

-4 and 4

Step-by-step explanation:

The solid line on the graph has a positive slope that will be 2y - 3x ≥ 7. Then the correct option is C.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)

The points that are on the line are given below.

(-9, -10), (-3, -1), and (3, 8)

The inequality of the line is given as,

(y - 8) ≥ [(8 + 1) / (3 + 3)] (x - 3)

y - 8 ≥ (3/2)(x - 3)

2y - 16 ≥ 3x - 9

2y - 3x ≥ 7

The solid line on the graph has a positive slope that will be 2y - 3x ≥ 7. Then the correct option is C.

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Answer: c

Step-by-step explanation:

A threshold effect is when a small change in one variable results in a noticeable change in another variable. In this example, a small 8% increase in salt content of the chips is enough to produce a noticeable change in the saltiness of the chips to the sample of consumers.

The snack manufacturer can calculate the increase in salt content of their chips needed to produce the threshold effect by first determining the baseline salt content of the chips. Once this is known, they can then calculate what percentage increase to the salt content is needed by multiplying the baseline salt content by 8%. For example, if the baseline salt content of the chips is 10%, then the 8% increase in salt content would be calculated as 10% x 8% = 0.8%. This means that the snack manufacturer needs to increase the salt content of their chips by 0.8% to reach the threshold effect desired by the sample of consumers.

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161%

Step-by-step explanation:

They are asking percentage so we know we going to ×100%

4943 AS A PERCENTAGE OF 3076

\( \frac{4943}{3076} \times 100 \)

161%

The statement, "When a problem has many attributes that impact the classification of different patterns, decision trees can be a useful approach." is true.

The given statement is true because decision trees are a machine learning algorithm that can handle both categorical and numerical data. They work by recursively splitting the data based on different attributes to create a tree-like model of decisions. Each internal node in the tree represents a decision based on a specific attribute, while the leaves represent the final classification or outcome.

In problems with multiple attributes, decision trees can effectively handle complex decision-making processes by considering the interactions between different attributes. Each attribute can be evaluated at different points in the tree, allowing for a comprehensive analysis of the data.

By constructing a decision tree, it becomes possible to visualize the decision-making process and understand the logic behind the classification. Decision trees can handle both discrete and continuous attributes, making them suitable for a wide range of problems.

Therefore, when dealing with problems that have many attributes impacting the classification of different patterns, decision trees can be a valuable and effective approach.

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Answer:

76

Step-by-step explanation:

The given data is 64, 72, 85, 80, 72, 89.

First we arrange it in ascending order.

64,72,72,80,85,89

The middle two terms are 72 and 80.

There are 6 no of observations.

The median when n is even is given by :

\(M=\dfrac{72+80}{2}\\\\=76\)

So, the median of given data is 76.

The measure of angles are

The length of the hypotenuse of the right triangle = 11 inches

The length of the one leg = 10 inches

Then the length of the other leg is the square root of the sum of the hypotenuse square and one leg square

Then the equation will be

The length of the other leg = \(\sqrt{11^2-10^2}\)

= \(\sqrt{121-100}\)

= 4.58 inches

Therefore AC = 11 inches

AB = 10 inches

BC = 4.58 inches

The angle B = 90 degrees

Consider the angle A

cos θ = Adjacent side / hypotenuse

cos θ = 10 /11

θ = 24.61 degrees

Consider the angle C

cos θ = Adjacent side / Hypotenuse

cos θ = 4.58 / 11

θ = 65.39 degrees

Hence, the measure of angles are

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The minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

In order to find the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board, we need to calculate the time taken by each method and then compare it. Let's say the minimum number of carrots is x.

Here's how we can calculate the time taken to chop x carrots:

Time taken using knife and cutting board = 45x + 25 (25 is added for the time taken to clean the knife and board)

Time taken using food processor = 12x + 360 (360 is added for the time taken to clean the food processor)

Now, we need to find the value of x for which the time taken using the food processor is less than the time taken using the knife and cutting board.

So,12x + 360 < 45x + 2512x - 45x < 25 - 360-33x < -335x > 10.15

Therefore, the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

Thus, the minimum number of carrots to cut up for which it will be faster to use a food processor than the knife and cutting board is 11.

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