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Which statements apply to the expression 5 ?

The answers/options r in the pic​

66) The number of feet of fencing that Ms. Hamilton needs to buy is 75 feet.

67) The distance around a rectangle is called a perimeter.

The use of Mathematics skills is all-encompassing. Every activity involves some mathematical calculations and the use of mathematical operations, like additions, subtractions, divisions, and multiplication.

When you visit a Merchandise Store, you undertake some mathematical activities by computing how much is needed and the balance you will get. Future projections depend on maths skills.

For instance, budgeting how much it costs you weekly to maintain your hairstyle also involves maths skills.

As you return to school after the summer breaks, you decide how much savings you must spend. It is maths.  Any time calculations are involved, it requires maths.

Length of the yard = 24.75 feet

Width of the yard = 12.75 feet

Perimeter of the yard = 75 feet (24.75 + 12.75)2

Charges for a yard of iron fencing = $50 per yard

3 feet = 1 yard

75 feet = 25 yards (75/3)

The cost of 25 yards = $1,250

Thus, Ms. Hamilton will need to spend $1,250 on this decorative iron fence project.

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Let's first get the representation of tan

We also need to understand how to convert radians to degrees

For question 1

since tan > 1

It must be in either first quadrant or third quadrant as shown in the diagram above

Answer:

(in attachment)

Step-by-step explanation:

you can find the points by inputting the x-values into the equation to solve for the y-values, then connecting the plotted points to create the line.

When x=-4

y=1/2(-4)

y=-2

(-4,-2)

Repeat for all values.

The formula for finding revolution ​is

Revolutions = Distance traveled / Circumference of the object.

In physics and mechanics, revolutions refer to the number of times an object completes a full circular motion around an axis or a point.

A revolution is a complete turn around a fixed point or axis, and it is often measured in terms of rotations per minute (RPM) or cycles per second.

For example, a car tire completes one revolution when it turns once completely around its axis. Similarly, a planet completes one revolution when it completes one full orbit around its star.

The formula for finding revolution:  ​

The formula for finding the number of revolutions of a rotating object is:

Revolutions = Distance traveled / Circumference of the object

Where distance traveled is the linear distance that the object has covered, and circumference is the distance around the circular cross-section of the object.

Therefore,

The formula for finding revolution ​is

Revolutions = Distance traveled / Circumference of the object.

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f(x) = x² + 3x - 2

f(-2) = (-2)² + 3*(2) - 2 = 4 - 6 - 2 = - 4

In order to create the appropriate 50% alcohol solution, 480 mL of the 70% mixture must be added.

To solve this problem, we can use the formula for calculating the concentration of a mixture:

Concentration = (Amount of solute / Total amount of mixture) x 100%

Let's start by finding the amount of alcohol in the 240 mL of 10% mixture:

Amount of alcohol = \(10/100 * 240 mL = 24 mL\)

Let's assume we need x mL of the 70% mixture.

The total amount of alcohol in the final mixture should be 50% of the total volume. We can set up an equation using this information:

24 mL + Amount of alcohol in the 70% mixture

= 50% of the total volume

We know that the total volume will be 240 mL + x mL, so we can substitute that in:

24 mL + Amount of alcohol in the 70% mixture

= 0.5 x (240 mL + x mL)

Now we can solve for x:

24 mL + Amount of alcohol in the 70% mixture = 120 mL + 0.5x mL

Amount of alcohol in the 70% mixture = 96 mL + 0.5x mL

We know that the concentration of the 70% mixture is 70%, so we can set up another equation:

Concentration of 70% mixture = (Amount of alcohol / Total volume) x 100%

70% = (Amount of alcohol / x mL) x 100%

Amount of alcohol = 0.7x mL

Now we can substitute this into the previous equation:

\(0.7x\ mL = 96 \ mL + 0.5x \ mL\\0.2x \ mL = 96\ mL\\ = 480 \ mL\)

Therefore, we need to add 480 mL of the 70% mixture to obtain the desired 50% alcohol solution.

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Answer:

150% hope I'm

correct and sorry if I'm not but it should be 150%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

2 x 1.75 = 3.5

Answer:

x = 24.5

Step-by-step explanation:

27/(x + 7) = (27 - 6)/x

27x = (x + 7)(21)

27x = 21x + 147

6x = 147

x = 24.5

Answer:

x = 31.5

Step-by-step explanation:

given a line parallel to a side of a triangle and it intersects the other two sides then it divides those sides proportionally , that is

\(\frac{6}{27-6}\) = \(\frac{7}{x}\)

\(\frac{6}{21}\) = \(\frac{7}{x}\) ( cross- multiply )

6x = 21 × 7 = 147 ( divide both sides by 6 )

x = 24.5

Answer:

unlikely

Step-by-step explanation:

Answer:

1 to 7

Step-by-step explanation:

The probability of each landing on any of the numbers is 1 to 7

Answer:

To find the equation of the line containing the segment DE, we can use the coordinates of D and E to find the slope:

slope = (change in y) / (change in x) = (0 - 3) / (4 - 2) = -3/2

We can use the point-slope form of the equation of a line, using either D or E as the point:

y - 3 = (-3/2)(x - 2)

Simplifying this equation, we get:

y = (-3/2)x + 6

Similarly, to find the equation of the line containing the segment EF, we can find the slope using the coordinates of E and F:

slope = (change in y) / (change in x) = (-2 - 0) / (1 - 4) = 2/3

Using either E or F as the point, we can write the equation in point-slope form:

y - 0 = (2/3)(x - 4)

Simplifying, we get:

y = (2/3)x - (8/3)

To find the equation of the line containing the segment TV, we can find the slope using the coordinates of T and V:

slope = (change in y) / (change in x) = (0 - 3) / (-2 - 0) = 3/2

Using either T or V as the point, we can write the equation in point-slope form:

y - 3 = (3/2)(x - 0)

Simplifying, we get:

y = (3/2)x + 3

Finally, to find the equation of the line containing the segment VW, we can find the slope using the coordinates of V and W:

slope = (change in y) / (change in x) = (-2 - 0) / (1 - (-2)) = -2/3

Using either V or W as the point, we can write the equation in point-slope form:

y - 0 = (-2/3)(x - (-2))

Simplifying, we get:

y = (-2/3)x + (4/3)

Answer:

are reflection across the y-axis and translation 2 units right.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

=3x^3+8x^2-7x-4-(2x-6)

=3x^3+8x^2-9x+2

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

a ruler is not the best tool to use to measure the field of view on medium- and high-power lenses.

Using a ruler to measure the field of view on medium- and high-power lenses would be difficult and inaccurate. This is because the magnification of the lenses changes the field of view, so a ruler would not be able to measure the field of view accurately at different magnifications. Additionally, a ruler is too small to measure the field of view accurately since it is usually measured in degrees. Therefore, Using a ruler to measure the field of view on medium- and high-power lenses is difficult and inaccurate. This is because the magnification of the lenses changes the field of view, and a ruler is not designed to measure this change. A ruler is also too small to measure the field of view accurately since it is usually measured in degrees. Therefore, using a ruler is not the most reliable tool for measuring field of view on medium- and high-power lenses. Instead, it is better to use a protractor or other specialized tools to accurately measure the field of view. Additionally, it is important to remember that the field of view changes with magnification and should be checked at different magnifications to get the most accurate measurement.

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Answer:

2 pairs

Step-by-step explanation:

If we convert 3 3/5 into an informal fraction, it would be 18/5 (3*5+3 for the numerator) and 1 4/5 would be 9/5 (1*5+4 for the numerator). 18/5 divided by 9/5 is the same as 18/5 * 5/9 (the reciprocal of 9/5) which equals 2. Therefore she can make 2 pairs of pants.

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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The different 2-member groups that are possible is 28

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

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Answer:

y = 3x + 2

Step-by-step explanation:

The easiest way to do this, would be to substitute a point (e.g., (2,8)) into your equations to find the one that is true.

(2, 8)

y = 3x - 2

8 = 3(2) - 2

8 = 6 - 2

8 = 4

This statement is false

(2, 8)

y = 3x + 2

8 = 3(2) + 2

8 = 6 + 2

8 = 8

This statement is true

(2, 8)

y = 2x - 3

8 = 2(2) - 3

8 = 4 - 3

8 = 1

This statement is false

(2, 8)

y = 2x + 3

8 = 2(2) + 3

8 = 4 + 3

8 = 7

Therefore, b is the correct answer.

Hope this helps!

The relation that represents the pattern in the table of values is given as; y = 3x + 2

Let us first find the slope of the values from;

m = (y₂ - y₁)/(x₂ - x₁)

m = (8 - 5)/(2 - 1)

m = 3

Thus, the y-intercept is;

5 = 3(1) + c

c = 2

Thus, equation is;

y = 3x + 2

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Answer:

30.6

Step-by-step explanation:

Your answer is correct to three decimal places not three significant figures.

Three decimal places: Three numbers after the decimal

Three significant figures: first 3 digits (NB: if the number starts with zero, you only include the numbers after zero, E.g: 0.043262 to three significant figures would be 0.0433 because the zeros don't count. However, if the zero is at the end or in between non zero numbers, it is included. E.g: 1.201 to three significant figures would be 1.20).

The value of m∠Q as shown in the right-angled triangle below is 62.59°.

The Formula used is:

m∠Q = cos⁻¹(s/r)........................ (1)

Where:

s = 29 m

r = 63 m

Now, Substitute these values into equation 1

m∠Q = cos⁻¹(29/63)

m∠Q = cos⁻¹(0.46)

m∠Q = 62.59°

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The required number of days is 2.5 days

First, we need to calculate the amount of units generated per day.

If 15 people working 5 hours per day can make 30 units of a product in 10 days, then the amount of units per day is calculated as:

Units per day = (15*5*10)/30

Units per day = 750/30

Units per day = 25 units/day

If people of the same efficiency are used to make the same products, the number of days needed by 10 people to make 10 units of the product if each of them works 10 hours per day will be;

Number of days = (25*10)/10*10

Number of days = 250/100

Number of days = 2.5 days

Hence the required number of days is 2.5 days

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Using translation concepts, it is found that the fourth graph(right graph of the bottom row) represents the function f(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is \(f(x) = \sqrt{x}\), which has vertex at the origin.

The translated function in this problem is \(f(x) = 2\sqrt{x + 1}\), which was vertically strecthed by a factor of 2 units(which does not change the vertex), and shifted left 1 unit, which means that the vertex is now at (0,-1).

Hence, the fourth graph(right graph of the bottom row) represents the function f(x).

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Answer:

You wrote the question wrong
but if you are asking: f(x)=2√x+1
your answer will be the 4th Graph (on this example)

Step-by-step explanation:

<3

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

Answer:

6.729

Step-by-step explanation:

Integers only include plsitive and negative numbers and zero. 6.729 is a number alright but it is a fractional or decimal number.

Answer:

1 milimiter

Step-by-step explanation:

that the answer

Answer:

12r-8-12

Step-by-step explanation:

You have to combine like terms.

Hope it helps!

The complex problem involves determining how many people would switch from driving to using newly added bus routes with free bus passes in a city.

To address this, a four-step problem-solving process is proposed. Steps include defining the problem, developing a data collection strategy, implementing the strategy through surveys and data analysis, and evaluating the results.

Assumptions and data needed include current transportation patterns, public transport usage, and residents' attitudes. Uncertainty arises from potential sampling variations and financial calculations.

The solution's feasibility lies in comprehensive data collection, and potential controversy may emerge over resource allocation and the impact on city life.

Public engagement is vital in addressing concerns and reaching consensus.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Consider the following complex problems, which do not have a single straightforward solution. Describe how you would apply the four-step problem-solving process described in the text (without actually carrying out the process). List the assumptions and information needed to carry out your solution. Assess the uncertainty in these assumptions and data. Determine whether you believe the problem can be solved and whether a particular solution might generate controversy.

Suppose that a city added new bus routes and handed out free bus passes. How many people would give up driving in favor of the bus? How much money, overall, would this cost or save the city?

\(D) Divide \: the \: diameter \: in \: half, \: square, \: \\ \: \: and \: multiply \: by \: \pi \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

Answer: A)

Step-by-step explanation: Formulas:

\(Area: \pi r\times(radius)^2\)

\(Circumference: 2\pi \times radius\)

\(Diameter: 2 \times radius\)

In order to simulate the amount of bullseyes that Grace will strike during her upcoming turn, we can carry out the following steps:

Within each loop cycle, generate 5 random integers between 0 and 1 to represent the likelihood of hitting a bullseye with each missile.

Accumulate the total number of bullseyes achieved for each round by adding the number of times the generated figure is less than or equal to 2/3.

After successfully running the simulation through 10,000 rounds, divide the total number of bullseyes hit by 10,000 to get the average number of bullseyes struck every round.

Finally, state the expected number of bullseyes that Grace will hit on her next turn by saying the average from step 4.

As a result, by prudently repeating numerous rounds, our algorithm can factor in the differential element instinctive throughout this process and eventually obtain a more precise tally of the predicted number of bullseyes Grace may potentially hit during her upcoming turn.

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