Find the surface area and volume of the regular hexagon-
based pyramid shown below.
6 ft
10 ft

Answer:

24+p=t

Step-by-step explanation:

If he scored 24 points in the first half, and p in the next half, he scored a total of t points.

Answer:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be

(Amount she earns) > (Amount she spends)

7L² > 3(200L - L²)

To simplify,

7L² > 3L(200 - L)

Since L is always positive, we can divide both sides by L

7L > 3(200 - L)

7L > 600 - 3L

10L > 600

L > 60 meters

Hope this Helps!!!

Answer:

Answer is in attached image.

Answer:

-650ft

Step-by-step explanation:

I took a test with a question like that

The possible dates of the meeting can be obtained using factors or

using a calendar.

The possible dates are;

The first day of 2021 is a Friday.

The first Monday of January 2021 is on the 4th

It takes 27 days to the end of the month of January from the 4th and on

the 28th day (factor of 7) is a Monday.

Therefore;

On the 1st day of February, 2021 is a Monday, which gives;

The possible dates are;

2021 is a normal year, therefore, another possible pair of dates are;

The rest of the months of 2021 Sundays come before Monday except in November.

The first day of 2020 is on a Wednesday, such that Sunday comes on

the 5th. In 4 weeks, on the 2nd of February, a Sunday comes before a

Monday. 2020 is a leap year, therefore, in March, a Sunday comes on

the 1st, before a Monday and the last Monday is on the 30th, such that in

April, a Sunday comes on the 5th, before a Monday.

Therefore, a Sunday comes before a Monday in May.

Therefore, the arrangements of Mondays could not have happened in

2020.

In summary, the day number of the first day of each month are;

1, 32, 61, 92, 122, 153, 183, 214, 245, 275, 306, 336, 367

The day number of the Sundays are;

5, 33, 61, 96, 124, 159, 187, 215, 250, 278, 306, 334, 362,

Therefore, the month the difference between the staring day of the

month and the first Sunday of the month is 6 is the month in which a

Monday comes before a Sunday, which is in June.

Learn more about factors here:

https://brainly.com/question/83678

For g(x) to be the inverse of f(x) then f times g needs to equal g x f

F(g(x)) = 3 times (1/3x) = x

G(f(x)) = 1/3 times (3x) = x

The answer is c. 1/3(3x)

Answer:

Step-by-step explanation:

A side walk has a length of 75.00  which is 2953 inches ^v^

Answer:

\(a<-5\)

The width of the cooling tower is 36 meters.

A cooling tower is a vent that is built for the purpose of releasing waste heat back to the atmosphere.

Now we can model the system using;  x²/324 - (y² - 90)²/1600. Thus, the width can be obtained from;

2 × ✓324

= 2 × 18

= 36 meters

Learn more about cooling tower:https://brainly.com/question/26654522

#SPJ1

Missing parts;

Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus quantity y minus 90 end quantity squared over 1600 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.

36 meters

48 meters

80 meters

89 meters

Step-by-step explanation:

I think you have to change 20% to a fraction

Answer:

3. To tell if something is a function, you have to look at its x values. If the x values are repeating it is not a function. It is okay for the y values to be. Y is the function.

4. x is a function

5. Same thing as 3. So it cant be a or b or c but it is D!

6. function only

Step-by-step explanation:

Answer:

3: B

4: D

5: D

6: B

Step-by-step explanation:

3: A function has only one y value per x value, so it can't be W, X, or Z, it has to be Y which is B

4: Vertical line test ensures that every x value only has up to 1 y value.

In W, a vertical line intersects that circle twice

In X, a vertical line intersects the wave infinite times

In Z, a vertical line intersects the sideways parabola twice

In Y, there is an asymptote but at every point a vertical line only intersects once, so the answer is D

5:

Not A because there are 2 y values for 0

Not B because there are 2 y values for both 2 and 3

Not C because there are 2 y values for both 2 and 3

There is no problem in D

6:

This is obviously a relation so it has to be either (a relation) or (a relation and a function)

We can see that every x-value has a single y-value so it has to be a function

It is both a relation and a function

Answer:

14.2cm

Step-by-step explanation:

Complete question:

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°.  

Rounded to the nearest tenth of a centimeter, what is the length of arc LMN?  

Find the diagram attached

arc LN= arc  LM + arc MN

First we need to get the arc MN

length of an arc = theta/360 * 2πr

length of arc MN = 75/360 * 2(3.14)(6)

length of arc MN = 0.20833*37.68

length of arc MN = 7.85

Hence;

arc LN = 6.3 + 7.85

arc LN = 14.15cm

Hence the length of arc LN is 14.2cm

The working equation when dealing with problems regarding compounded interest is

where A is the future value, P is the principal value, r is the annual rate, and n is the number of compounding periods.

The problem compounds quarterly, hence, we have n = 4.

We derive the working equation to solve for t, as follows:

Substitute the values of A, P, n, and r on the derived equation above and solve for t, we get

Therefore, the $4000 investment grows to $5780 in 9.25 years.

Given

Mike took a taxi from home to Airport. The taxi driver charged $6 as initial fees and $3 per mile and the total fare is $24.

Required

we need to find total number of miles he covered on this ride.

Explanation

Let total number of miles he travelled be x

Then total fare =6+3x

i.e

So total number of miles covered is 6 miles.

Answer:

Rs 400 is the cost of an article for Ram.....

Step-by-step explanation:

X - cost of an article for Ram

120% = 1.2

1.2*X - Ram’s selling price

5% = 0.05

1.2*X*0.05 - Shyam selling price

1.2*X*0.05 = 504

X = Rs 400 is the cost of an article for Ram

Hope it Helps!!!!

The probability that the selected chocolate will be either cookies and cream or peanut butter cups are,

let cookies and cream be x

and peanut butter cups be y

As these are the two chocolates in the bag,

there is a 50:50 probability

Hence,

The probability of cookies and cream = 50%

The probability of peanut butter cups=50%

As x+y=total both have equal probability

To know more about probability,

https://brainly.com/question/30034780

The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

Learn more about Polymorphism here

brainly.com/question/14316421

#SPJ4

Answer:

The least number of packages of balloons he can buy in order to have one balloon per person is 8.

Step-by-step explanation:

;)

switch the variables

x = -y + 6

x - 6 = -y

-x + 6 = y

Answer:

first one x≥0

Step-by-step explanation:

domain is what your x values are so x≥0 because on the x-axis starts at 0 inclusive and keeps going.

Answer:

105

Step-by-step explanation:

y=75. 180-z=2y, z=180-2*75=30. As the triangle is isosceles, the other two angles are 75 and 75 and x+75=180, x=105

Step-by-step explanation:

Add 10 to the age you are now and get an answer.

Your age will be 10 years old.

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

Riddles are of two types: enigmas, which are problems generally expressed in metaphorical or allegorical.

Given that we need to find if you were born 10 years ago how old would you be,

So, you will be 10 years old.

It because when you born 10 years ago, The same as your age.

Thats the puzzle when someone's questions, that called Riddle.

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

Hence Your age will be 10 years old.

Learn more about riddles click;

https://brainly.com/question/478260

#SPJ2

The inverse of f is a function which takes any value x and divides it by 4, then adds 7 to the result.

The inverse of a function is the opposite of the original function, meaning that it takes the output of the original function and turns it back into the input. In this case, the original function is f(x)=1/4x+7. To find the inverse, we need to solve for x in the equation, which can be done by subtracting 7 from both sides and then multiplying both sides by 4. This gives us x=(x+7)/4, which is the inverse of the original function. To put it simply, the inverse of f takes any output of the original function, adds 7 to it, and then divides it by 4 to get the original input.

example;

If f(x)=1/4x+7 and x=3, then

f(3) = (1/4)3 + 7

7.75

The inverse of f is f^-1(x) = (x + 7) / 4.

If f^-1(7.75) = (7.75 + 7) / 4, then

f^-1(7.75) = 14.75 / 4

3.6875

Learn more about inverse here

https://brainly.com/question/13715269

#SPJ4

Miss Johnson will put 314 counters in each bag

The number of boxes, and the number of counter are given as:

\(Box = 32\)

\(Counter =245\)

Start by calculating the total number of counter

\(Total = Box \times Counter\)

So, we have:

\(Total = 32\times 245\)

\(Total = 7840\)

To redistribute 7840 counters in 25 bags, we simply divide the number of counter by the number of bags.

So, we have:

\(Counter = \frac{7840}{25}\)

\(Counter = 313.6\)

Approximate

\(Counter = 314\)

Hence, she will put 314 counters in each bag

Read more about grouping and counting at:

https://brainly.com/question/107527

Therefore, the equation of the line passing through (-3, -5) and parallel to the line 2x + 3y = 15, in slope-intercept form, is y = (-2/3)x - 7.

To find the equation of a line parallel to the line 2x + 3y = 15 and passing through the point (-3, -5), we need to determine the slope of the given line and use it to construct the equation in slope-intercept form (y = mx + b).

The given line is in the form Ax + By = C, where A = 2, B = 3, and C = 15. To find the slope of this line, we can rearrange the equation to isolate y:

2x + 3y = 15

3y = -2x + 15

y = (-2/3)x + 5

The slope of the given line is -2/3.

Since the line we want to find is parallel to this line, it will have the same slope. Therefore, the slope of the line passing through (-3, -5) will also be -2/3.

Now, we can use the point-slope form of a linear equation to write the equation of the line:

y - y1 = m(x - x1)

Substituting the values of (-3, -5) and -2/3 for (x1, y1) and m, respectively:

y - (-5) = (-2/3)(x - (-3))

y + 5 = (-2/3)(x + 3)

To convert this equation into slope-intercept form, we can simplify and rearrange:

y + 5 = (-2/3)x - 2

y = (-2/3)x - 2 - 5

y = (-2/3)x - 7

Learn more about Equation of Parallel Lines on:

https://brainly.com/question/11345748

#SPJ1

Answer:

Find the slope (1,3), (5,5): m = 0.5

Find the slope (0,-1), (2,3): m = 2

Find the slope (2,-3), (5,-4): m = -1/3

Step-by-step explanation:

m = y2-y1/x2-x1

Answer: 2, 1, -1/3

Step-by-step explanation:

y2-y1/x2-x1

5-3 = 2

5-4=1

2

The function f(theta) is:

f(theta) = sin(theta) + cos(theta) + 3

To find the function f, we will integrate the given second derivative with respect to theta twice, and use the initial conditions to determine the constants of integration.

First, integrating f ''(theta) = sin(theta) + cos(theta) with respect to theta gives:

f '(theta) = -cos(theta) + sin(theta) + C1

where C1 is a constant of integration.

Next, integrating f '(theta) = -cos(theta) + sin(theta) + C1 with respect to theta gives:

f(theta) = sin(theta) + cos(theta) + C1*theta + C2

where C2 is another constant of integration.

To determine the values of C1 and C2, we use the initial conditions:

f(0) = 4 gives us:

4 = sin(0) + cos(0) + C1*0 + C2

4 = 1 + C2

so C2 = 3.

f '(0) = 1 gives us:

1 = -cos(0) + sin(0) + C1

1 = 1 + C1

so C1 = 0.

Therefore, the function f(theta) is:

f(theta) = sin(theta) + cos(theta) + 3

Note that there are other ways to express this function, such as using trigonometric identities to simplify the expression, but this is the most general form.

To learn more about integration, refer below:

https://brainly.com/question/30900582

#SPJ11

The range of the possible values of x is:

x  >  4

For the given triangle:

AB = 4x + 25

BC = 3x - 2

AC = 9x - 5

The sum of two of the sides of the triangle should be greater than the length of the third side

That is:

AC  +  BC   >  AB

9x - 5  +  3x  -  2  >  4x + 25

12x - 7  >  4x  +  25

Collect like terms

12x  -  4x  >  25  +  7

8x  >  32

x   >  32/8

x  >  4

Therefore, the range of the possible values of x is:

x  >  4

Learn more triangle theorems here: https://brainly.com/question/2102943

Answer:

Below

Step-by-step explanation:

Circumference of a circle = pi * diameter

                             circumference of ferris wheel = 3.14159 * 520=1633.6 ft