QUESTION 1 1.1 Convert the following to the appropriate units. 1.1.1 1765m to cm 1.1.2 9.4 km to cm 1.1.3 4.2 tons to grams​

Answer:

12mm since its supposed to be for larger rectangles

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have two rectangles side by side, the larger one measures 8m by 6m, the smaller one 5m by 4m, the 4 meters is the difference between the base  (10m) and the 6m side, so we find the areas and add them using the formula A = L x W, the result is not in the choices but it is right.

6 * 8 + 4 * 5 =                     remember PEMDAS

48 + 20 =

68 m²

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Expressing her frustration and finding a time to have a conversation, is the most effective way for Kaylin to address the texting issue with CJ. Option A

By clearly communicating her feelings of frustration and the impact that constant texting has on her ability to study effectively, Kaylin can open up a dialogue with CJ. This approach allows both parties to discuss their expectations, needs, and find a mutually beneficial solution. It also demonstrates Kaylin's willingness to address the issue directly and find a resolution.

Option B, turning her phone on silent to study, may help Kaylin focus on her studies, but it doesn't address the underlying issue of CJ's constant texting or Kaylin's frustration with it. It may lead to miscommunication or further misunderstandings between them.

Option C, continuing to text CJ back or texting him when she is finished studying, doesn't address the issue of constant interruptions and the impact it has on Kaylin's ability to concentrate. It may perpetuate the behavior and not effectively communicate her needs and boundaries.

Therefore, option A, expressing her frustration and finding a time to have a conversation, is the most effective way for Kaylin to address the texting issue with CJ.

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Answer:

The ordered pair (20,16) represents the cost of 20 pounds of beans.

Step-by-step explanation:

The x-axis represents pounds of beans, and the y-axis represents the cost. Find the point that is across the 20 mark on the x-axis. In this case the point is at (20,16).

-hope it helps

Using both hoses will take 10 minutes to fill up the kiddie pool. Mary can fill up 1/3 of the pool using the front yard hose in 10 minutes and 1/6 of the pool using the backyard hose in 10 minutes.

To solve this problem, we need to use the concept of rates. Let's assume the rate of the hose in the backyard is x, so the rate of the hose in the front yard is 2x (because it is twice as fast as the other hose).

The combined rate of the two hoses is x + 2x = 3x, which means they can fill the pool in 30/3x = 10/x minutes.

We know that the area of the pool is 600 square feet and each small rock covers 20 square feet, so we need a total of 600/20 = 30 small rocks to cover the pool.

Since the mass of each rock is 20 grams, the total mass of all 30 rocks is 30 x 20 = 600 grams.

To find the density, we divide the total mass (600 grams) by the total volume of the rocks (30 x 20 cubic feet = 600 cubic feet)

Density = 600g / 600 cubic feet = 1g/cubic foot

Therefore, the answer is B. 10 minutes for the pool to fill up, and the density of the rocks is 1 gram per cubic foot.

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Answer:

12 knots

Step-by-step explanation:

Top speed of the monohull in the 2007 tournament is x, then:

Answer is 12 knots

Answer:

  46

Step-by-step explanation:

The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.

__

The relation between the leg lengths (a, b) and the hypotenuse (c) is ...

  c² = a² +b²

Solving for b gives ...

  b = √(c² -a²)

In this problem, we have c=55 and a=30. Then the width of the TV is ...

  b = √(55² -30²) = √(3025 -900) = √2125

  b ≈ 46.098

The width of the TV is about 46.

a)

The system of equations that models the situation is:

p + m = 5

3p + m = 15

b)

None of the given options is a solution to the system of equations.

We have,

(a)

System of equations that models the situation:

Total weight equation

p + m = 5

Proportion equation:

0.6p + 0.2m = 0.6(5)

Simplifying the second equation:

0.6p + 0.2m = 3

3p + m = 15 (dividing both sides by 0.2)

The system of equations is:

p + m = 5

3p + m = 15

(b)

To check which of the given options is a solution to the system, we substitute the values of p and m from each option into the system of equations and check if both equations are true.

Option 1:

2 lb peanuts and 3 lb mixture

p = 2, m = 3

p + m = 5 (true)

3p + m = 15 (6 + 3 = 9 ≠ 15, not true)

Option 2:

2.5 lb peanuts and 2.5 lb mixture

p = 2.5, m = 2.5

p + m = 5 (true)

3p + m = 15 (7.5 + 2.5 = 10, not true)

Option 3:

4 lb peanuts and 1 lb mixture

p = 4, m = 1

p + m = 5 (true)

3p + m = 15 (12 + 1 = 13, not true)

We see that,

None of the given options is a solution to the system of equations,
This means that the exact values of p and m that satisfy the system are different from all the given options.

Thus,

The system of equations that models the situation is:

p + m = 5

3p + m = 15

None of the given options is a solution to the system of equations.

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Rewriting 4 x 3/6 as the product of a unit fraction and a whole number is: 12 * 1/6

The parameters are given as:

Number - 4

Fraction - 3/6

The following steps can be used to determine the product as the product of a whole number and a unit fraction:

Step 1 - Remember the whole number are those numbers that involve all positive integers and zero.

Step 2 - Also remember that the unit fraction is nothing but a fraction whose numerator is 1.

Step 3 - Write the given expression.

4 * 3/6

Step 4 - Convert the given fraction into a unit fraction by multiplying 4 by 3 in the above expression.

4 * 3 * 1/6

Step 5 - Simplify the above expression.

12 * 1/6

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Answer:

what is this ?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since the power is negative, you automatically know it has to be a or b, because the only way it would be negative is if it was brought from the denominator to the numerator.

The answer is B, because the numerator of the power, is what is inside the square root, while the denominator is what is outside the square root.

Answer:

Explained below.

Step-by-step explanation:

A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.

A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

The matched pairs are as follows:

Population: 2. All Toyota Camry (2020 US) model cars.

Sample: 4. 117 Toyota Camry (2020 US) cars that are sampled.

Parameter: 7. The average mileage of all Toyota Camry (2020 US) model cars.

Statistics: 6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.

An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.

Given:

Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.

The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.

We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.

We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.

Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.

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Answer:

The distance between the buildings is:

D = 413.3 ft

Step-by-step explanation:

Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.

One of the triangles, let's call it triangle A, has the catheti:

Distance between Dale and Building A = d1

Height of Building A = 464 ft

The other triangle (triangle B) has the catheti:

Distance between Dale and Building B = d2

Height of building B = 321ft

We want to find the distance between the buildings, which is equal to d1 + d2.

Then we want to find d1 and d2.

For triangle A:

We know that the angle at the vertex where Dale is standing, is 75°

Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.

Remember that:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

Then:

Tan(75°) = (464 ft)/(d1)

d1 = (464 ft)/(Tan(75°)) = 124.3 ft

Now for triangle B, the angle at the vertex where Dale is standing is 48°.

from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.

Then:

Tan(48°) = 321ft/d2

d2 = (321ft)/(Tan(48°)) = 289ft

Then the distance between the buildings is:

D = d1 + d2 =  124.3 ft +  289ft = 413.3 ft

The required graph has been attached below that represents the function f(x) = 5 cos (2x).

The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.

Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.

The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).

Thus, the graph has been attached below that represents the given function.

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Answer:

21

Step-by-step explanation:

Let x = the number

12x-12 = 240

12x = 252

x = 21

Answer: choice D

Step-by-step explanation:

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

in this exampke the constant(d) is -3

Answer:

D is the correct answer.

Step-by-step explanation:

because the numbers are decreased by -3

 Defination: in arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The extremas of the function are defined as follows:

On a graph, the function makes a turn at these points.

The problem is incomplete, hence the general procedure to obtain the points was presented.

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Answer:

det(2*3) also det(6)

Step-by-step explanation:

this is just filler so I can send it

Answer:

5

Step-by-step explanation:

a minus times by another minus makes a positive, so it is basically 1 x 5

Answer:

5

Step-by-step explanation:

Since the you are multiplying 2 minuses together they will cancel each other out to form a positive number. However if you have an example like this

-6 × 7

Then the answer will be -42 because there is only one negative

The amount of money in account A is decreasing by 8% per year.

The account that recorded a greater percentage change in amount of money over the previous year is account B.

From the information, the amount f(x), in dollars, in account A after x years is represented by the function below:

f(x) = 9,628(0.92)x

Therefore, this shows a decrease and the percentage will be:

= 1 - 0.92

= 0.08

= 8%

The account that recorded a greater percentage change will be:

Account B = (8,972 - 8,074.80) / 8,972 × 100

= 10%

Therefore, B has a higher percentage.

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Answer:

The slope is positive 7

Step-by-step explanation:

The y-intercept is -5, and the next point going upwards is positive 2. (Sorry I'm bad at explaining)

Answer:

The slope is 7

Step-by-step explanation:

(1,2)(0,-5)

\(m=\frac{-5-2}{0-1} ==\frac{-7}{-1} =7\)

Hope this helps

The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

Congruent arcs determine congruent central angles. This is one of the properties of circles and is true for any two arcs of a circle that have the same measure.

Step-by-step explanation:

Answer:

its a non-repeating decimal

Step-by-step explanation:

repeating decimals continue you on for a while, if decimals have a line over top of the last ending number that means it kept repeating so they cut it short, this one however doesn't have that symbol.

The product of the two numbers  45, is the highest number, and the sum of the two numbers  18, is the lowest number follow symmetry .

When an object is split into two identical, mirrored components, it is said to have symmetry in mathematics. What does "axis of symmetry" refer to? An "axis of symmetry" is a fictitious line that has the ability to fold or split a thing into two identical mirror parts. Any object is symmetrical if two parts fit together. To determine the shape's symmetry, draw a mirror line across the center, making sure that all parts are identical. Another way of putting it is that symmetry is when two objects are facing one another or when two items have mated components that circle around an axis.

given

The two numbers on the left and right are multiplied together to create the number at the top.

The two digits on the left and right add up to the number at the bottom.

middle number + top number = 3 * 15 = 45 ( top number )

3+15 Equals 18 ( lowest number ) ( bottom number )

The product of the two numbers on the left and right, 45, is the highest number, and the sum of the two numbers on the left and right, 18, is the lowest number.

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The complete question is :-

Here is a completed box challenge puzzle. If you look at it closely, you'll see that the number at the top is the product of the two numbers on the left and right, and the number at the bottom is the sum of the two numbers on the left and right.

Multiply 15 and 6.8. So speed * time = distance

So the answer is 102

Answer:

The process of allocating the total sum of squares and degrees of freedom to the various components is called partitioning.