There are 5,280 feet in a mile. Round answers to the nearest unit. a. How many miles does a car traveling at 42 mi/h go in one hour

Answer:

C

3 in per wk

Step-by-step explanation:

12

12×3=15

15+3=18

The constant of proportionality is 3 inches/week

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation y = Kx also represents direct proportionality. Here, K is called constant of proportionality. It is same as slope.

We have a plant grows at a constant rate.

The data recorded by Daniel is as follows -

Week 4       12 inches

Week 5       15 inches

Week 6       18 inches

The equation y = Kx also represents direct proportionality. Here, K is called constant of proportionality. We have to find the slope of the line represented by the data as -

K = slope

K = (15 - 12)/(5 - 4)

K = 3/1

K = 3

Therefore, the constant of proportionality is 3 inches/week.

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The  domain relation a consists of all pairs of real numbers whose absolute difference is less than or equal to 2.

The given relation is defined as follows:

a: {(x, y) | x, y ∈ ℝ and |x - y| ≤ 2}

In this relation, the domain is specified as the set of all real numbers, which means that any real number can be used as the input for this relation.

To clarify, if we take any two real numbers, x and y, and the absolute value of their difference, |x - y|, is less than or equal to 2, then the ordered pair (x, y) is included in the relation.

For example, if we choose x = 3 and y = 1, then |3 - 1| = 2, which satisfies the condition |x - y| ≤ 2. Therefore, the ordered pair (3, 1) is in the relation a. Similarly, if we choose x = 2 and y = 4, |2 - 4| = 2, so the ordered pair (2, 4) is also in the relation.

In summary, the relation a includes all ordered pairs (x, y) where the absolute difference between x and y is less than or equal to 2, and it can be used with any real numbers as input.

The relation a is a subset of the Cartesian product of the set of all real numbers with itself, denoted by R × R. In other words, a is a set of ordered pairs (x, y) such that |x - y| ≤ 2, where x and y are real numbers.

For any real numbers x and y, the expression |x - y| represents the absolute value of the difference between x and y. The absolute value of a number is always non-negative, so the inequality |x - y| ≤ 2 means that the distance between x and y on the real number line is less than or equal to 2.

Therefore, the domain of the relation a is the set of all real numbers, since the definition of the relation applies to any two real numbers x and y.

The given relation is defined as follows:

a: {(x, y) | x, y ∈ ℝ, |x - y| ≤ 2}

This relation represents all pairs of real numbers (x, y) where the absolute difference between x and y is less than or equal to 2. In other words, it includes all pairs (x, y) such that the distance between x and y on the real number line is at most 2.

For example, (1, 3) is in the relation a because |1 - 3| = 2, which satisfies the condition |x - y| ≤ 2. Similarly, (5, 6) is in the relation a because |5 - 6| = 1 ≤ 2.

On the other hand, (4, 8) is not in the relation a because |4 - 8| = 4 > 2, violating the condition.

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The percentage of these funds are expected to be within ±6 standard deviations of the mean is 97.22% (approx).Hence, the required answer is 97.22.

The Chebyshev’s theorem is used to determine the percentage of observations that lie within a certain number of standard deviations of the mean in a set of data.

According to the Chebyshev rule, what percentage of these funds are expected to be within ±6 standard deviations of the mean can be calculated using the formula:

\($$1 - \frac{1}{k^2}$$\)

Where k is the number of standard deviations. For the question, the mean is 7.10 and standard deviation is 3.50.As per the given data, we can find that, the number of standard deviation from the mean is ±6.

Thus, k = 6.

The percentage of these funds are expected to be within ±6 standard deviations of the mean is:

\($$1 - \frac{1}{k^2} = 1 - \frac{1}{6^2} = 1 - \frac{1}{36} = 0.9722$$\)

Therefore, the percentage of these funds are expected to be within ±6 standard deviations of the mean is 97.22% (approx).

Hence, the required answer is 97.22.

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The least expensive computer after the 20% discount would be $400.

To calculate the price of the least expensive computer after the 20% discount, we need to find 20% of the original price and subtract it from the original price.

Let's assume the original price of the least expensive computer is x. The discount of 20% can be calculated as 0.20 * x. To find the discounted price, we subtract the discount from the original price: x - 0.20 * x = 0.80 * x.

Since we know that the cost of the least expensive computer ranges from $500 to $1000, we can substitute x with $500 and calculate the discounted price: 0.80 * $500 = $400. Therefore, the least expensive computer after the 20% discount would be $400.

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So the height of the antenna is approximately 12.7 meters.

An equation is a mathematical statement that says that two expressions are equal. It typically contains variables, numbers, and mathematical operations. The most basic form of an equation is: expression1 = expression2.

Here,

Let's label the height of the antenna as h and the distance from point A to point B as x.

From the information given, we can set up two equations:

tan(24°) = h / x (equation 1)

tan(42°) = (h + 1.54) / x (equation 2)

We have two equations and two unknowns (h and x), so we can solve for both.

First, let's isolate x in equation 1:

x = h / tan(24°)

Then, substitute this expression for x in equation 2:

tan(42°) = (h + 1.54) / (h / tan(24°))

Simplify by multiplying both sides by h / tan(24°):

h / tan(42°) = h / tan(24°) + 1.54

Isolate h on one side:

h / tan(42°) - h / tan(24°) = 1.54

Factor out h:

h * (1/tan(42°) - 1/tan(24°)) = 1.54

Solve for h:

h = 1.54 / (1/tan(42°) - 1/tan(24°)))

Using a calculator, we get:

h ≈ 12.7 meters

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Answer: that's wrong it's 9.6

Step-by-step explanation:

Answer:

.25881

Step-by-step explanation:

sin15

=sin(45-30)

=sin45.cos30-cos45.sin30

=(0.707×0.86)-(0.707×0.5)

=(0.6082)-(0.3535)

=0.25

The measure of the two angles will be x > 25° and y = 180° - x°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The two lines are parallel and the third line is a transversal line.

If one angle is greater than 25°. Then the other angle is given as,

Let the angles be 'x' and 'y'. Then angles are supplementary angles. Then the inequality is given as,

x > 25°               ...1

x + y = 180°

y = 180° - x       ...2

From equations 1 and 2, then we have

y = 180° - x

The measure of the two angles will be x > 25° and y = 180° - x°.

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Answer:

x = -4

Step-by-step explanation:

Since we are given that y = -3, we substitute the y for -3

Now we have:

-3 = 2x + 5

Subtract 5 on both sides to leave 2x alone

-8 = 2x

Divide by 2 on both sides to isolate x

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

-4 = x

Answer:

X-4

Step-by-step explanation:

that is what I got lol I tried on this one it is really easy you add and multiple

Yes it does include the test point (0, 0)

switch sides

Multiply both sides by -1 reverses the inequality

Thus, the following (0, 0) comes under the following x > -5/3 and y > -5

How many pages are there in the book: The total number of pages in the book is 48.

Give the total number of pages accessing the book = x.

On Monday, he read 30 pages.

On Tuesday, he read 1 / 8 the total pages i.e. x / 8

On Wednesday, he read the excess 1 / 8 of the total pages i.e. x / 4

In this way, we have a relationship,

30 + x /8 + x / 4= x

i.e. 240 + x + 2x / 8 = x

i.e. 240 + 3x = 8x

i.e. 5x = 240

i.e. x = 48

Subsequently, the total number of pages in the book is 48.

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Answer:

first one - 30%

second - 15%

third - 40%

fourth - 20%

fifth - 75%

sixth - 70%

seventh - 88%

eighth - 25%

sorry but the last question is too blurry, can you type it and I can help you answer it?

Hope this helps.

The weight of each one of the five little girls if taken separately is 242.4 lb.

The weight of each girl can be determined from the average weight of the girls.

Weight of each girl = (Total weight) / number of girls

W = (129 + 125 + 124 + 123 + 122 + 121 + 120 + 118 + 116 + 114)/5

W = 1,212/5

W = 242.4 lb

Thus, the weight of each one of the five little girls if taken separately is 242.4.

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Answer:

Step-by-step explanation:

Answer:

f^-1(x)=3/(x-1)

Step-by-step explanation:

For us to find the inverse, we firstly do f(x)=y

so,

y=(x+3)/x

Then, we switch y for x and x for y, so we get

x=(y+3)/y

Now we rearrange for y.

x=(y+3)/y

yx=(y+3)

yx-y=3

y(x-1)=3

y=3/(x-1)

therefore, f^-1(x)=3/(x-1)

Answer:

9n-3

Step-by-step explanation:

Let's set up an expression:

2n-1-(-7n+2)

Now we simplify the expression

2n-1+7n-2

Combine like terms

9n-3

Answer: it's B

step by step explanation: hope this helps

Answer:

t = 5 seconds

Step-by-step explanation:

It is given that, the height h, in feet of a ball above the ground is given by :

\(h=-16t^2+64t+80\)

Where t is in seconds

We need to find how long does it take the ball to hit the ground? When it hits the ground, its height will be equal to 0. So,

\(-16t^2+64t+80=0\\\\t=\dfrac{-64\pm \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=\dfrac{-64+ \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16},\dfrac{-64-\sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=-1\ s\ \text{and}\ t=5\ s\)

Neglecting negative time.

It means ball will take 5 seconds to hit the ground.

Doreen Short was looking over the repayment schedule for a loan of $40,000, the final payment and amount saved for the options are mathematically given as

Generally, the equation for the interest  is mathematically given as

I= balance*percentage/12

Therefore

I=17,565. 74*0.09/12

I=131.7

The final payment

F=I+B

F=131.7+17,565. 74

F=17697.5

Amount saved

AS=19*995.40 -17697.5

AS=1215.12

b) For the loan is paid off with payment 36 with a loan balance of $12,285. 66

I= balance*percentage/12

Therefore

I= 12,285. 66*0.09/12I92.142

I=92.142

Final payment

F=I+B

F=92.142+12377.80

F=12377.80

Amount saved

AS=13*995.40-12377.80

AS=$562.40

c) For the loan is paid off with payment 48 with a previous balance of $988. 9

I= balance*percentage/12

I= 988.09*0.09/12

I=7.41

Therefore

F=7.41* +988.09

F=$995.40

The Amount saved is zero

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Answer:

7 hours

Step-by-step explanation:

If you divide

171 ÷ 9

you find the $ Tammy made in 1 hour.

171 ÷ 9 = 19

So Tammy made 19 for 1 hour of work.

Then we divide 133 by 19 to find out for how many hours she has to work.

133 ÷ 19.67 = 7. So Tammy has to work 7 hours to make $133.

The precedences of lines in completing orthographic drawings are established to ensure consistency and clarity in representing objects in different views. They provide guidelines for determining which lines take precedence over others, helping to convey accurate information about the shape and structure of the object.

In orthographic drawings, which are used to represent objects in a two-dimensional format, different lines are employed to depict various features and dimensions of the object. The precedences of lines refer to the order in which these lines are drawn or emphasized to create a clear representation. The main purpose of establishing precedences is to maintain consistency across different views of the object and provide a standardized approach to drawing.

The precedences of lines are determined based on the relative importance of the features being represented. Visible outlines, such as the visible edges and contours of the object, generally take precedence over hidden or obscured lines. This ensures that the overall shape and structure of the object are accurately conveyed. Additionally, prominent features such as holes, notches, or intersections may be given higher precedence to highlight their significance.

By following the established precedences, orthographic drawings can effectively communicate the necessary information for manufacturing, construction, or design purposes. They allow engineers, architects, and designers to accurately visualize and understand the object in multiple views, aiding in the creation of precise and consistent representations.

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Answer:

one solution

Step-by-step explanation:

3x-1=3

Add 1 to each side

3x-1+1=3+1

3x = 4

Divide by 3

3x/3 = 4/3

x = 4/3

There is one solution

Answer:

One solution

Step-by-step explanation:

3x=4

x=4/3

no other answer

In algebra, negative exponents can be transformed into positive exponents by taking the reciprocal of the base raised to the power of the absolute value of the exponent.

In order to simplify J^-1/j^-5, we can use the exponent rule which states that a^-n=1/a^n where n is any integer.

Explanation:J^-1/j^-5 = J^5/J^1J^5/J^1 can also be simplified to J^(5-1) or J^4.Thus, J^-1/j^-5 simplified to J^4 using positive exponents.Let us explain the concept of positive exponents.Positive exponents are a shorter way of writing the multiplication of a number or variable with itself several times.

The number that is being multiplied is called the base, and the exponent represents the number of times the base is being multiplied by itself. It is also known as an index, power, or degree.

In algebra, negative exponents can be transformed into positive exponents by taking the reciprocal of the base raised to the power of the absolute value of the exponent.

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Answer:

11=64 15=64 and 1=116

Step-by-step explanation:

6 and 5 are a straight angles meaning they add up to 180 so if you take 180-64=116 you can apply them to their congruent angles and figure it out

Answer:

t = 4

Step-by-step explanation:

\(\frac{t}{7}\) = \(\frac{32}{56}\) ( cross- multiply )

56t = 7 × 32 = 224 ( divide both sides by 56 )

t = 4

Step-by-step explanation:

\( \frac{t}{7} = \frac{32}{56} \\ t = \frac{32 \times 7}{56} \\ t = \frac{32}{8} \\ t = 4\)

9514 1404 393

Answer:

  c.  90°

Step-by-step explanation:

Every corner of a square or rectangle is a 90° angle, also called a "right angle."

  ∠MLK = 90°

Answer:

it is

B perimeter changes by a factor of z

Step-by-step explanation:

Answer:

THE ANSWER IS B PERIMETER CHANGES BY A FACTOR OF Z

Step-by-step explanation:

THE PERIMETER OF THE ORIGINAL FIGURE MULTIPLIED BY THE SCALE FACTOR.THE ARE OF THE DILATED FIGURE IS THE AREA OF THE ORIGINAL FIGURE MULTIPLIED BY THE SQUARE OF THE SCALE FACTOR