The function y=60/x relates y, the time in hours that it takes Michael to travel to his grandparents’ house, to x, his average speed in miles per hour. What does the number 60 in the function represent? the time, in hours, that it takes to get to Michael’s grandparents’ house the distance, in miles, that must be traveled to get to Michael’s grandparents’ house the fuel, in gallons, that is used to get to Michael’s grandparents’ house the rate, in miles per hour, that Michael travels to get to his grandparents’ house

Answer:

− √ 3 /2  or -0.86602540 ...

Step-by-step explanation:

The exact value is  -\(\sqrt{3}\)/2

Quadrants & Quadrantal Angles

Angles between 0∘ and 90∘ are in the first quadrant. Angles between 90∘ and 180∘ are in the second quadrant. Angles between 180∘ and 270∘ are in the third quadrant. Angles between 270∘ and 360∘ are in the fourth quadrant.

Solution,

Remove full rotations of 2π until the angle is between 0 and 2π.

sin (2π + 4π/3)

sin(4π/3)

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant.

sin(π + π/3)

= - sin(π/3)      (The exact value of sin(π/3)=\(\sqrt{3}\)/2)

= -\(\sqrt{3}\)/2

or

= - 0.86602540

hence, the exact value is  -\(\sqrt{3}\)/2

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Answer:

Hey there!

If you mean, to the nearest ten,  this would be 84000.

Let me know if this helps :)

Answer:

84,000

Rounded to the nearest 10 or

the Tens Place.

Answer:

Outcomes are { L, RL, AL, RAL, ARL }

Associated X values are { 1, 2, 2, 3, 3 }

Step-by-step explanation:

As given,

left  = (L),

right = (R)

goes straight ahead  = (A)

Now,

The Sample space become = { L, RL, AL, RAL, ARL }

In L -

Number of cars = 1

In RL-

Number of cars = 2

In AL-

Number of cars = 2

In RAL-

Number of cars = 3

In ARL-

Number of cars = 3

You need to get an 85 on your last test

Answer:

Step 1: Express the quadratic equation in standard form. Step 2: Factor the quadratic expression. Step 3: Apply the zero-product property and set each variable factor equal to 0. Step 4: Solve the resulting linear equations

The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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Answer:

1

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

    = (-2-2)/(-2 -2)

    =-4/-4

    =1

Answer:

Your answer would be 1

Step-by-step explanation:

Slope formula = y2-y1/x2-x1

x1y1=2,2 and x2y2=-2,-2

Plug the values in:

= -2-2/-2-2 = -4/-4 = 1

Answer:

Step-by-step explanation:

For the first bag:

Price of the bag = $12

Number of balls in the bag = 15

Price per ball = Price of the bag / Number of balls

Price per ball for the first bag = $12 / 15 = $0.8

For the second bag:

Price of the bag = $15

Number of balls in the bag = 20

Price per ball = Price of the bag / Number of balls

Price per ball for the second bag = $15 / 20 = $0.75

Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.

Answer:

Step-by-step explanation:

To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.

For the first bag, the price per ball is $12 / 15 = $0.80.

For the second bag, the price per ball is $15 / 20 = $0.75.

Therefore, the second bag prices individual baseballs lower.

Answer:

Area of \(\triangle\)ACD = 4 \(ft^2\)

Area of \(\triangle\)ABC = 16 \(ft^2\)

Step-by-step explanation:

Given that:

D is a point on AB.

and ABC is a triangle.

AD:DB = 1 : 3

Area of \(\triangle\)CDB = 12 \(ft^2\)

Kindly refer to the attached image as per the given dimensions and values.

To find:

Area of \(\triangle\)ACD and Area of \(\triangle\)ABC = ?

Solution:

Formula for area of a triangle = \(\frac{1}{2}\times Base \times Height\)

The altitudes of triangles \(\triangle\)CDB and \(\triangle\)ACD are equal in dimensions.

Therefore the area of triangles \(\triangle\)CDB and \(\triangle\)ACD will be equal to the ratio of their bases.

Area of \(\triangle\)ACD : Area of \(\triangle\)CDB = AD: DB = 1 : 3

\(\Rightarrow\) Area of \(\triangle\)ACD = \(\frac{12}{3} = \bold{4 ft^2}\)

Area of \(\triangle\)ABC = Area of \(\triangle\)ACD + Area of \(\triangle\)CDB = 12 + 4 = 16 \(ft^2\)

Therefore, the answer is:

Area of \(\triangle\)ACD = 4 \(ft^2\)

Area of \(\triangle\)ABC = 16 \(ft^2\)

Answer: The answer is A) 2xyz^2

Step-by-step explanation: I used a math website

Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

y=119

Step-by-step explanation:

11^2-2 =119

-11^2 means -11×-11 ;negative cancelled by negative

then 11×11=121

y=x^2-2

Answer:

D. 78°

Step-by-step explanation:

50°+28°= 78°

_______

=====================================================

Explanation:

This is the only point in the shaded region. The other points are either on the boundary line or outside the shaded region. Points on the boundary do not count because of the dashed line. The dashed line is due to no presence of an "or equal to" as part of the inequality sign.

See the diagram below.

---------------------

A nonvisual approach will have you plug each of the coordinates into the given inequality.

For instance, choice A has x = 0 and y = 2 pair up which plug in to get

y < (-2/3)x + 2

2 < (-2/3)*0 + 2

2 < 2

which is false, so that's why choice A is not the answer. You should find that choices B and D are false too. Only choice C is true because

y < (-2/3)x + 2

0 < (-2/3)*0 + 2

0 < 2

which confirms the answer we got when we used the visual approach.

Answer:

y = 4x + 26

Step-by-step explanation:

y = mx + b

The slope (m) is equal to 4.

y = 4x + b

To find the y-intercept (b), plug in the point given.

6 = 4(-5) + b

6 = -20 + b

26 = b

The answer is y = 4x + 26.

Answer:

The equation of the line passing through (-5, 6) with a slope of 4 is

y = 4x + 26

Step-by-step explanation:

An equation of a line would always have the following structure...

y = mx + b

In this equation, "y" is the y coordinate of the point, "x" is the x coordinate of the point, "m" is the slope, and "b" is the y coordinate of the y-intercept. We know all the values except "b", but we can find the value of "b" by substituting all the other values into the equation...

y = mx + b

6 = 4(-5) + b

6 = b - 20

b = 6 + 20

b = 26

Therefore, the equation of the line passing through (-5, 6) with a slope of 4 is y = 4x + 26

Answer:

radical duuuuddeeeeee

Step-by-step explanation:

jk jk its C

Answer: 2.5 (or 2 1/2 as a mixed number)

Step-by-step explanation:

Answer:

5/2 or 2.5

Step-by-step explanation:

\(5 \frac{1}{4} - 2\frac{3}{4}\)  = 5.25 - 2.75 = 2.5 = 5/2

The solution to the expression (-x³ + x² - x + 1) / (x - 1) using long division is (x² - 2x + 3) + (4 / (-x - 1))

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the expression:

(-x³ + x² - x + 1) / (x - 1)

Using long division:

= x² + (2x² - x + 1)/(-x - 1)

= x² - 2x + (-3x + 1)/(-x - 1)

= (x² - 2x + 3) + (4 / (-x - 1))

The solution to the expression (-x³ + x² - x + 1) / (x - 1) using long division is (x² - 2x + 3) + (4 / (-x - 1))

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Answer: Approximately 34.17%.

Step-by-step explanation: Let's divide 41 by 120. Doing so, we get 0.3466666 looping forever. We can simplify that to .3417, and then turn that into a percentage giving us 34.17%

Answer: The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

Step-by-step explanation:

Hope this is right!!!!

The net income from the given income statement is $7,440. This is calculated by subtracting the overhead expenses from the gross profit.

To calculate the net income, we need to subtract all expenses from the gross profit.

First, we need to calculate the Net Sales by subtracting the Sales Returns of $360 from the Sales of $12,800

Net Sales = Sales - Sales Returns

Net Sales = $12,800 - $360

Net Sales = $12,440

Next, we can calculate the Gross Profit by subtracting the Cost of Goods Sold (COGS) from the Net Sales

Gross Profit = Net Sales - COGS

Gross Profit = $12,440 - $2,500

Gross Profit = $9,940

Now, we can calculate the Net Income by subtracting the Overhead expenses from the Gross Profit

Net Income = Gross Profit - Overhead

Net Income = $9,940 - $2,500

Net Income = $7,440

Therefore, the net income from the given income statement is $7,440.

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Using the least common factor, it is found that it will take 120 days until all four buses return to the terminal on the same day.

To find their least common factor, we factor each number by prime numbers, hence:

6 - 8 - 10 - 15|2

3 - 4 - 5 - 15|2

3 - 2 - 5 - 15|2

3 - 1 - 5 - 15|3

1 - 1 - 5 - 5|5

1 - 1 - 1 - 1

Hence, lcm(6, 8, 10, 15) = 2³ x 3 x 5 = 8 x 15 = 120.

It will take 120 days until all four buses return to the terminal on the same day.

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To show that the angle bisector of an equilateral triangle is perpendicular to the base​, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.  

After getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.

We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.

Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.

Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.

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Answer:

You first work out the radius, as below:

Area = pi x radius^2

=> radius = sqrt(Area/pi)

Then, you find out circumference C.

=> C = 2 x pi x radius

Hope this helps!

:)

\(\huge\text{Hey there!}\)

\(\huge\textsf{Guide \#1}\huge\boxed{\downarrow}\\\\\large\text{2 negatives = [\bf positive]}\\\large\text{2 positives = \bf [positive]}\\\large\text{1 positive \&1 negative = \bf [negative]}\\\large\text{1 negative \& 1 positive = \bf [negative]}\)

\(\huge\textsf{Guide \#2 }\huge\boxed{\downarrow}\\\large\text{Negatives are BELOW 0.}\\\large\text{Positives are ABOVE 0.}\)

\(\huge\textsf{Guide \#3 }\huge\boxed{\downarrow}\\\large\text{Positives are on the RIGHT side of the number line.}\\\large\text{Negatives are on the LEFT side of the number line.}\)

\(\huge\textsf{Guide \#4 }\huge\boxed{\downarrow}\\\large\text{Positives are bigger than 0}\\\large\text{Negatives are smaller than 0.}\)

\(\huge\text{Answering \textsf{your question(s)....}}\)

\(\huge\textsf{Option A.}\\\\\large\text{-17 - 8}\\\large\text{= \bf -25}\)

\(\huge\textsf{Option B.}\\\large\text{-27 - -32}\\\large\text{= -27 - (-32)}\\\large\text{= -27 + 32}\\\large\text{= \bf 5}\)

\(\huge\textsf{Option C.}\\\large\text{110 - -212}\\\large\text{= 110 - (-212)}\\\large\text{= 110 + 212}\\\large\text{= \bf 322}\)

\(\huge\textsf{Option D.}\\\large\text{-432 - 375}\\\large\text{= \bf -807}\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

D. No, because they are supplementary.

Step-by-step explanation:

5 and 1 make a straight line, meaning when they are combined, they are supplementary which means they have a sum of 180 degrees.

Answer:

D. No, because they are supplementary.

Step-by-step explanation:

Elimination of Answers:

A. Just doesn't make since bc their not opposite.

B. Complementary means the angles add up to 90⁰

C. The angles do not have a sum of 90⁰ they have a sum of 180⁰

:)