Write the equation of a line in slope intercept form that has a slope of -3 and passes through the point (0,7)

Step-by-step explanation:

here you go!

so basically x = 9 cars

Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

Answer:

The first option.  See attachment.

Step-by-step explanation:

Explained on attached image.

Answer:

(1/2), (2/4), (3/6), (4/8), (5/10) etc...

Step-by-step explanation:

0.50 is a decimal that represent a half of one...

This is already in decimal form... Do you mean fraction? If so...

(1/2), (2/4), (3/6), (4/8), (5/10) etc...

Answer: it's 0.5 bc u just have to take away the zero at the end

From the analysis above, we find that points F (0, -4) and I (5, -1) are solutions to the system of inequalities. Therefore, the correct answer is F and I

To determine which point is a solution to the system of inequalities y < -2x + 10 and y < 1/2x - 2, we need to evaluate each point's coordinates and check if they satisfy both inequalities.

Let's examine the points A, B, F, and I:

Point A: (2, 6)

Substituting the coordinates into the inequalities:

6 < -2(2) + 10, which simplifies to 6 < 6, which is not true.

6 < (1/2)(2) - 2, which simplifies to 6 < -1, which is not true.

Point B: (-3, 1)

Substituting the coordinates into the inequalities:

1 < -2(-3) + 10, which simplifies to 1 < 16, which is true.

1 < (1/2)(-3) - 2, which simplifies to 1 < -3.5, which is not true.

Point F: (0, -4)

Substituting the coordinates into the inequalities:

-4 < -2(0) + 10, which simplifies to -4 < 10, which is true.

-4 < (1/2)(0) - 2, which simplifies to -4 < -2, which is true.

Point I: (5, -1)

Substituting the coordinates into the inequalities:

-1 < -2(5) + 10, which simplifies to -1 < 0, which is true.

-1 < (1/2)(5) - 2, which simplifies to -1 < 0.5, which is true.

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Answer:

Step-by-step explanation:

For every 4 boys there are 5 girls and 9 students at the school. So that means that 49 of the students are boys. 49 of the total number of students is 120 students:

49×?=120

If 49 the number of students is 120, then 14 of 120 is 19 of the total number of students. In other words, 14×120=30 is 19 the total number of students. Then 9 times this amount will give the total number of students:

9×30=270

So there is a total of 270 students at the school. Note that this is equivalent to finding the answer to the division problem:

120÷49=?

We can see all of this very succinctly by using a tape diagram:

Bar_diagram_67722d3e6005449e4fbe5c57eaad4f3c

There are 4 units of boys and 9 units of students. Therefore 4/9 of the students are boys.

4 units = 120

1 unit = 30

9 units = 270

There are 270 students altogether.

Students can multiply the numbers in the first row by 10 to get the second row, and then double that amount to get the third row. Adding the entries in the second and third row gives the fourth row that has the solution.

Alternatively, since 120÷4=30, students can just multiply the numbers in the first row by 30 to get the values in the fourth row.

In every row, we can see that the fraction of the students that are boys is 49.

looking at the last row, we can see that the total number of students will be 4×30+5×30=120+150=270.

The conditional operator (?:) is equal to option d. in C++ is indeed a ternary operator.

The correct statements are,

The conditional operator (?:) is not a unary operator.

It is a ternary operator because it takes three operands.

First option is incorrect.

The conditional operator associates from left to right,

Meaning that the leftmost operand is evaluated first, followed by the middle and rightmost operands.

The conditional operator accepts three operands,

a condition, an expression to evaluate if the condition is true, and an expression to evaluate if the condition is false.

It is wrong option.

The conditional operator is the only ternary operator in C++.

it is a correct option.

Therefore, the correct answer to represents the conditional operator ( ?:):  is given by ,

option d. The conditional operator (?:) is the only ternary operator in C++.

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Answer:

The correct option is;

C. 4800 J

Step-by-step explanation:

The given parameters are;

The mass of the skier = 40 kg

The height of the slope = 12 meter

The acceleration due to gravity, g = 10 m/s²

The potential energy, PE, is given by the formula PE = Mass, m × Acceleration due to gravity, g × Height, h

Substituting the values, gives

The potential energy, PE = 40 kg × 10 m/s² × 12 m = 4800 kg·m²/s² = 4800 J

The potential energy, PE = 4800 J

Answer:

  119 cm²

Step-by-step explanation:

The area of a composite shape can be found by dividing it into shapes whose area formulas you know.

__

Here, the shape can be divided into 3 rectangles by extending the vertical lines through the figure. Left to right, those rectangles are ...

  2 wide × 17 hign ⇒ area = (2 cm)(17 cm) = 34 cm²

  10 wide × 7 high ⇒ area = (10 cm)(7 cm) = 70 cm²

  5 wide × 3 high ⇒ area = (5 cm)(3 cm) = 15 cm²

Then the total area is ...

  (34 +70 +15) cm² = 119 cm²

Answer:

just put out + from the question.

Answer:

1.87

Step-by-step explanation:

\(\sqrt[7]{81} =1.87\)

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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I think it's 3/7?

hope this helps

Use the equation provided above (Area = 1/2bh) where b = base and h = height of triangle

This formula can oy be used for right angled triangles.

You find the base of the right angled triangle by dividing the base given in the diagram by 2.

The height is already given, the dotted line is the height.

Multiply everything together and the answer obtained is the area of the triangle

\({ \sf{ \blue{volume \: of \: cube = 27 {cm}^{3}}} } \\ \\ { \underline{ \sf{ \green{volume = {(side)}^{3}}}}} \\ \\ { \sf{ \blue{ side = \sqrt[3]{27}}}} \: ={ \sf{ 3 \: cm}}\)

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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The pollster should survey approximately 2,401 U.S. voters to estimate the true proportion of voters who oppose capital punishment with 95% confidence and a margin of error of 2%.

In order to estimate the true proportion of U.S. voters who oppose capital punishment with a 95% confidence level and a margin of error of 2%, the pollster should survey approximately 2,401 voters.



To calculate the sample size needed for this estimation, we can use the formula:

n = (Z² * p * q) / E²

where n is the sample size, Z is the z-score corresponding to the confidence level (in this case, 1.96 for 95% confidence), p is the estimated proportion of voters who oppose capital punishment, q is the estimated proportion of voters who support capital punishment (which is 1-p), and E is the desired margin of error (in this case, 0.02).

Assuming a conservative estimate of p = q = 0.5, we can plug in the values and solve for n:

n = (1.96² * 0.5 * 0.5) / 0.02² ≈ 2,401

Therefore, the pollster should survey approximately 2,401 U.S. voters to estimate the true proportion of voters who oppose capital punishment with 95% confidence and a margin of error of 2%.



In conclusion, to estimate the true proportion of U.S. voters who oppose capital punishment with a 95% confidence level and a margin of error of 2%, the pollster should survey approximately 2,401 voters. This sample size calculation is based on the formula for calculating sample size using the z-score, estimated proportions, and desired margin of error

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She needs to invest $\(300,000\\\) in project A and $\(200,000\) in project B in order to maximize the return on her investment.

Since a financier has $\(500,000\) which she needs to invest in two projects named A and B

Out of the two projects A and B, project B is giving higher rate of return on the investment so maximum investment needs to be done on the project B

Hence in project B total percentage of investment will be \(40%\)% which is also given it needs not to exceed more than \(40\)%

Hence the investment amount on the project B is \(40\)% of $\(500,000\)

which is \((0.4)*$500,000\) which is equal to $\(200,000\) which is an investment in project B

Now the investment in project A will be $\(500,000\)-$\(200,000\)=$\(300,000\)

Hence she needs to invest $\(300,000\) in project A and $\(200,000\) in project B.

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The coordinates of K is (-1, 2).

The section formula for the point (x, y) that the point divides the line with end points (x₁, y₁) and (x₂, y₂) internally in the ratio m : n is,

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

Here given that the internal ratio of division is 1 : 6.

The endpoints of the line segment given are J(-13, 20) and L(1, -1).

Let the coordinates of K be (x, y).

Using the section formula,

x = [(1 × -13) + (6 × 1)] / (1 + 6) = -7/7 = -1

y = [(1 × 20) + (6 × -1)] / (1 + 6) = 14/7 = 2

Hence the coordinates of the dividing point K is (-1, 2).

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Answer:

The answer is volume which is C.

Answer:

C. Volume

Step-by-step explanation:

The base unit of volume in the SI system is the cubic meter (m3). Other commonly used units of volume are the liter (L), the cubic centimeter (cm3 or cc), and the milliliter (mL).

Answer:

  -2 ≤ x < 12

Step-by-step explanation:

-15x +4 ≤ 34

Add 15x-34 to both sides

  -30 ≤ 15x

Divide by 15

  -2 ≤ x

__

-6x +70 > -2

Add 6x +2 to both sides

  72 > 6x

Divide by 6

  12 > x

__

The two solution spaces overlap. Since the AND of the two inequalities is involved, the solution of both is just that part of the number line where there is overlap.

The solution is ...

  -2 ≤ x < 12

Let's break down the given information and solve the problem step by step:

Let's assume:

The cost of the burger is 'b' dollars.

The cost of the souvenir is 's' dollars.

The cost of the pass is 'p' dollars.

According to the given information:

The burger was 1/6 as much as the souvenir. This can be expressed as: b = (1/6) * s.

The souvenir cost 3/4 the cost of the pass. This can be expressed as: s = (3/4) * p.

Erica had $4.00 left over after buying these items. This can be expressed as: b + s + p + 4 = 30.25.

Now, let's solve these equations to find the cost of each item.

Substituting the value of 's' from equation 2 into equation 1:

b = (1/6) * ((3/4) * p)

b = (3/24) * p

b = (1/8) * p

Substituting the values of 'b' and 's' into equation 3:

(1/8) * p + ((3/4) * p) + p + 4 = 30.25

Multiply through by 8 to eliminate the fraction:

p + 6p + 8p + 32 = 242

15p + 32 = 242

15p = 210

p = 210 / 15

p = 14

Substituting the value of 'p' into equation 2 to find 's':

s = (3/4) * 14

s = 10.50

Substituting the value of 'p' into equation 1 to find 'b':

b = (1/8) * 14

b = 1.75

Therefore, the cost of the burger is $1.75, the cost of the souvenir is $10.50, and the cost of the pass is $14.0

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the probability that you or your friend Joe are among the chosen 15 students is approximately 0.5711.

a) To find the probability that you and your friend Joe are among the chosen 15 students, we can use the hypergeometric distribution, which models the probability of drawing a certain number of successes (in this case, students that include you and Joe) from a finite population (the 50 students in the class) without replacement.

The probability of choosing you and Joe in the first two picks is:

(2 choose 2) * (48 choose 13) / (50 choose 15) = 0.0005446

where "choose" is the binomial coefficient, which gives the number of ways to choose k items from a set of n items.

So the probability that you and Joe are among the chosen 15 students is approximately 0.0005446.

b) To find the probability that you or your friend Joe are among the chosen 15 students, we can use the principle of inclusion-exclusion. We first find the probability of choosing you, the probability of choosing Joe, and then subtract the probability of choosing both you and Joe since we would be counting that outcome twice.

The probability of choosing you is:

(1 choose 1) * (49 choose 14) / (50 choose 15) = 0.2858

The probability of choosing Joe is also:

(1 choose 1) * (49 choose 14) / (50 choose 15) = 0.2858

The probability of choosing both you and Joe is:

(2 choose 2) * (48 choose 13) / (50 choose 15) = 0.0005446

Using the inclusion-exclusion principle, the probability of choosing either you or Joe is:

0.2858 + 0.2858 - 0.0005446 = 0.5711

So the probability that you or your friend Joe are among the chosen 15 students is approximately 0.5711.
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Answer:

There are 10 cards in the stack, and 5 of them are odd (1, 3, 5, 7, and 9). There are 3 cards (1, 2, and 3) that are less than 4. Since we are replacing the first card before selecting the second, the outcomes are independent and we can multiply the probabilities of each event.

The probability of selecting an odd card on the first draw is 5/10, or 1/2.

The probability of selecting a card less than 4 on the second draw is 3/10, since there are 3 cards that meet this condition out of a total of 10.

Therefore, the probability of selecting an odd card on the first draw and a card less than 4 on the second draw is:

(1/2) x (3/10) = 3/20

So the probability of selecting an odd card on the first draw and a card less than 4 on the second draw is 3/20.

Step-by-step explanation:

Answer:

3/20.

Step-by-step explanation:

To find the probability of two independent events happening together, we multiply their individual probabilities. The probability of the first card being an odd number is 5/10, because there are 5 odd numbers out of 10 cards. The probability of the second card being less than 4 is 3/10, because there are 3 cards (1, 2, and 3) that are less than 4 out of 10 cards. Therefore, the probability of the first card being an odd number and the second card being less than 4 is:

5/10 x 3/10 = 15/100

We can simplify this fraction by dividing both the numerator and denominator by 5:

15/100 = 3/20

So, the final answer is 3/20.

Received message. To find the probability of two independent events happening together, we multiply their individual probabilities. The probability of the first card being an odd number is 5/10, because there are 5 odd numbers out of 10 cards. The probability of the second card being less than 4 is 3/10, because there are 3 cards (1, 2, and 3) that are less than 4 out of 10 cards. Therefore, the probability of the first card being an odd number and the second card being less than 4 is: 5/10 x 3/10 = 15/100 We can simplify this fraction by dividing both the numerator and denominator by 5: 15/100 = 3/20 So, the final answer is 3/20.

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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A child's ticket cost is  $12.50 and an adult's ticket cost $25.00.

Two or more expressions with an Equal sign is called as Equation.

Given that Mr and Mrs Tan and their three children bought tickets for a 'Holiday- On-Ice' show.

Let x be the cost of a child's ticket, 2x be the cost of adult's ticket

The cost of all three children's tickets would be 3x and total cost of Mr. and Mrs. Tan's tickets would be 4x

So the total cost of all five tickets would be 3x + 4x = 7x.

We know that the total cost was $87.50

7x = 87.50

Divide both sides by 7

x = 87.50 / 7

x=12.50

Hence, a child's ticket cost is  $12.50 and an adult's ticket cost $25.00.

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"Financial" as it is not an effectiveness MIS metric.

To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.

Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.

Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.

Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.

Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.

Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.

In summary, the answer is "Financial" as it is not an effectiveness MIS metric.

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Answer:

17.3

Step-by-step explanation:

square root of 300 is 17.32050808

17.32050808 rounded is 17.3