1.Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for ð and round to the nearest tenth. 439.6 ft2 324.5 ft2 571.5 ft2 285.7 ft2 2.Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm. 1056 cm2 1536 cm2 816 cm2 1344 cm2 3.Find the volume of a rectangular prism with the following dimensions: Length = 5 mm Base = 7 mm Height = 3 mm 142 mm2 105 mm2 126 mm2 130 mm2 4.Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm. 324 cm3 108 cm3 36 cm3 152 cm3 5.Find the volume of a cone with a radius of 10 mm and a height of 6 mm. 628 mm3 600 mm3 1,884 mm3 1,254 mm3 1.D 2.C 3.? 4.? 5.?

Therefore , the solution of the given problem of inequality comes out to be Paul can drive at most 208 more miles before he will have to refill the tank.

A connection or collection of variables without the equal sign is a mathematical inequality. Equilibrium is typically followed by equity. Inequality happens when two values are not equal. Differences exist between equality and inequality. It was decided to utilize the most factors symbol because the quantities are not identical or equivalent (). Any discrepancy, regardless of how small or large, can be used to compare values.

Here,

Let x be the number of miles Paul can drive before he will have to refill the tank.

Since Paul's car can go at most 375 miles on one tank of gas, and he has already driven 167 miles, we can write the inequality:

x ≤ 375 - 167

Simplifying, we get:

x ≤ 208

Therefore, Paul can drive at most 208 more miles before he will have to refill the tank.

Interpretation: If Paul drives more than 208 miles, he will not have enough gas to complete the journey and will need to refill the tank.

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The inequality that models the situation is given as follows:

195 ≥ s.

The four inequality symbols, along with their meaning, are presented as follows:

For this problem, we have that the speed, represented by variable s, must be of at most 195 mph, hence the inequality is given as follows:

s ≤ 195.

Meaning that 195 is greater than or equal to s, hence:

195 ≥ s.

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Solving the equation explicitly for y and differentiating we get y' = -1/(x - 1)²

Differerentiation is the process of finding the derivative of a function.

Since we have the equation 1/x + 1/y = 1, to solve explicitly for y, we make y subject of the formula.

So, 1/x + 1/y = 1

1/y = 1 - 1/x

y = 1/(1 - 1/x)

To find y', we differentiate y with respect to x.

So, y' = dy/dx

= d[1/(1 - 1/x)]/dx

Let u = 1 - 1/x  

So,y' = d(1/u)/dx

= d(1/u)/du × du/dx

Now,

So, substituting these into dy/dx, we have that

y' = = d(1/u)/du × du/dx

= -1/u² × 1/x²

= -1/(ux)²

= -1/[(1 - 1/x)x]²

= -1/(x - 1)²

So, y' = -1/(x - 1)²

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The exact answer without rounding is 166.276877527

The area of a hexagon can be calculated by finding the area of one of the six triangles that make it up by 6.

I added a picture below on how I got it and how it looked like!

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Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

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The given inequality is x > (y – 2)2 – 4. To graph this inequality, we first need to plot the vertex of the parabola, which is (2, -4). This point is included in the shaded region because the inequality is "greater than" and not "greater than or equal to". Next, we need to determine whether the parabola opens upward or downward. Since the coefficient of the squared term is positive, the parabola opens upward.

Now, we need to decide which side of the parabola to shade. To do this, we can choose a test point that is not on the parabola and substitute its coordinates into the inequality. For example, the point (0,0) is a convenient test point. Substituting x=0 and y=0 into the inequality, we get:

0 > (0 – 2)2 – 4

0 > 0

Since 0 is not greater than 0, the point (0,0) is not in the shaded region. Therefore, we need to shade the side of the parabola that does not contain the point (0,0).

Among the given options, only the first one matches the graph described above. Therefore, the answer is: the graph that represents x > (y – 2)2 – 4 is the one where a parabola opens up and goes through (0, 0), has a vertex at (2, -4), and everything outside of the parabola is shaded.

Answer: i think its 40

Step-by-step explanation: because triangles in general are supposed to have the angle 180 and 40 add 400 add 100 equals 180

Answer:

(4 × y) - 8 = <26

Step-by-step explanation:

The equation for this problem is:

(Let y = the unknown number)

Therefore, you can use (4 × y) - 8 = <26 as an inequality for this problem.

The length of each side of the octagon with area of 576 square centimeters and an apothem of 16 centimeters is  9  centimeters .

Compared to lower sided shapes, an octagon's area is a little more complicated. A normal octagon's area is equal to 4 as. Where "s" stands for the octagonal side and "a" for the apothem, which runs straight from the pentagon's center to one of its sides.

The formula for the area of a regular octagon is:

A = 4 × apothem × side

Using this formula and the given values, we can solve for the length of each side of the octagon:

576 = 4 × 16 × side

Dividing both sides by 4 × 16, we get:

side = 576 ÷ (4 × 16)

Simplifying the right-hand side, we get:

side = 576 ÷ 64 = 9 cm.

Therefore, the length of each side of the octagon is  9 cm .

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Answer:

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

Firstly, you would plug in the values that you were given for x and y into the equation.

((4 * (3) * (2)) + (2))/2 = 13

Answer:

13

Step-by-step explanation:

(4xy+y) ÷ 2

= (4x3x2+2) ÷ 2

= 26 ÷ 2

= 13

Answer:

A) 210 B) 0.18

Step-by-step explanation:

got it right

The complex numbers calculators are Symbolab, Desmos, Wolfram Alpha etc.

There are many online calculators available for performing calculations involving complex numbers. Here are a few options :

Symbolab : Symbolab is a popular online math tool that includes a complex numbers calculator.

Desmos : Desmos is a powerful online graphing calculator that also includes support for complex numbers

Wolfram Alpha: Wolfram Alpha is a computational search engine that can perform a wide range of mathematical calculations, including those involving complex numbers

These are just a few options, but there are many other online calculators and resources available for performing calculations involving complex numbers.

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Answer: look at the image for the answer and explanation

Step-by-step explanation:

The values in the composite functions are (u o w)(2) is 7 and (w o u)(2) is 3

A composite function is a function that results from the combination of two or more functions. To form a composite function, the output of one function is used as the input of another function. The composite function can be represented by a single formula or equation, which combines the individual functions.

Let's say we have two functions f(x) and g(x). The composite function f(g(x)) is formed by using the output of the function g(x) as the input of the function f(x). In other words, we first apply g(x) to x, and then we apply f(x) to the result. The resulting composite function is written as f(g(x)).

In the problem given;

u(x) = x² + 3

w(x) = √(x + 2)

a.

(u o w)(2) = 7

b.

(w o u)(2) = 3

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As a result of these entries, the revenue and expense accounts will have zero balances, and the net income of $19,500 will be transferred to the Retained Earnings account.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Based on the information provided in the image, here are the closing entries for the accounting period:

Close the revenue accounts:

Account Titles Debit Credit

Income Summary 34,000

Service Revenue           34,000

Close the expense accounts:

Account Titles Debit Credit

Salaries Expense 8,000

Rent Expense         6,000

Supplies Expense 1,500

Income Summary           15,500

Close the Income Summary account to the Retained Earnings account:

Account Titles Debit Credit

Income Summary          19,500

Retained Earnings 19,500

Therefore, As a result of these entries, the revenue and expense accounts will have zero balances, and the net income of $19,500 will be transferred to the Retained Earnings account.

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As per the conversion factor, 33 inches is equivalent to 2.75 feet.

When we want to convert one unit to another, we use conversion factors to do so. A conversion factor is a ratio that represents the relationship between two units of measurement. In this case, we want to convert inches to feet.

To convert inches to feet, we need to use the conversion factor of 1 foot equals 12 inches. This means that for every 12 inches, we have 1 foot. To convert 33 inches to feet, we divide 33 by 12.

33 inches ÷ 12 inches/foot = 2.75 feet

To summarize, we used the conversion factor of 1 foot equals 12 inches to convert 33 inches to feet. We divided 33 by 12 to get the equivalent value in feet, which is 2.75. Always remember to use the appropriate conversion factor when converting units to avoid mistakes.

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Answer:

1 Microliter = 0.001 Milliliter

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

Therefore, for every 1 microliter it is equivalent to 0.001 Milliliter.

Answer:

[tex]16x^2-24x+9[/tex]

Step-by-step explanation:

To find (c circle d)(x), we need to first find d(c(x)) and then simplify.

First, we need to find c(x) and substitute it into d(x), as follows:

d(c(x)) = d(4x - 2) = (4x - 2)^2 + 5(4x - 2)

Expanding the square and simplifying, we get:

d(c(x)) = 16x^2 - 24x + 9

Now, we have (c circle d)(x) = d(c(x)) = 16x^2 - 24x + 9.

The factorial of a number n is the product of all positive integers up to and including n

The factorial function is typically represented using the "!" symbol, such that n! represents the product of all positive integers up to and including n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

To represent the factorial function using product notation, we can write:

n! = ∏_{i=1}^n i

This means that we take the product of all positive integers from 1 to n, which is equivalent to computing n!. For example, using this notation, we can write:

5! = ∏_{i=1}^5 i = 1 x 2 x 3 x 4 x 5 = 120

Note that the product starts at i=1 and goes up to n, which includes all the positive integers we want to multiply together.

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−13w−7

Explanation:
−6w+(−8)+1+(−7w)

Add −8 and 1 to get −7.

−6w−7−7w

Combine −6w and −7w to get −13w.

−13w−7

Answer: -13w-7

-6w - 8 + 1 -7w

-6w + - 8 + 1 + -7w

Even though dividing a fraction by a whole number might be challenging, it is simple to achieve with a few steps. By placing the full number above 1, you must first divide it into a fraction. After that, multiply the fraction you are dividing by the inverted version of the fraction. Lastly, simplify the response as much as possible.

For instance, to multiply 3/4 by 2:

Put 2 over 1, making it 2/1, to make it a fraction.

To get 1/2, invert 2/1.

To get 3/8, multiply 3/4 by 1/2.

Divide the numerator and denominator by 3 to get 1/4, which is the simplest representation of the fraction 3/8.

Hence, 1/4 is equivalent to 3/4 when divided by 2.

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Moore's law is an observation made by Gordon Moore, co-founder of Intel Corporation, in 1965. It states that the number of transistors on a microchip doubles approximately every two years, while the cost of the chip is halved. Essentially, this means that computing power increases exponentially over time.

Moore's law is associated with exponential functions because it describes a situation in which a quantity (the number of transistors) grows at a rate proportional to its size, resulting in exponential growth. Exponential functions are often used to model phenomena in science, engineering, and other fields that exhibit this kind of behavior. In the case of Moore's law, the rate of growth is approximately 41% per year, or a doubling every 1.5 to 2 years. The formula for exponential growth is:

Where:

Moore's law can be expressed using this formula as:

Where:

For example, if a microchip had 1,000 transistors in 2000, according to Moore's law it would have 2,000 in 2002, 4,000 in 2004, 8,000 in 2006, and so on. The exponential function describes the growth of the number of transistors over time, and the formula allows us to predict future values based on past observations.

~ Zeph

To complete the square for the equation [tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],

we need to choose h = -2.

To complete the square for the given equation

[tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],

we need to express the left-hand side of the equation in the form

[tex](x - p)^2 + q[/tex], where p and q are constants.

We can start by expanding the right-hand side of the equation:

[tex](x - h)^2 + 16 = x^2 - 2hx + h^2 + 16[/tex]

Now we can compare the coefficients of [tex]x^2[/tex], x, and the constant term on both sides of the equation:

[tex]x^2 + 8x + 32 = (x - p)^2 + q[/tex]

=> [tex]p^2 = 0[/tex] (since the coefficient of [tex]x^2[/tex] is 1 on both sides)

=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)

=> h = -2 (solving for h)

=> q = [tex]h^2 + 16[/tex] = 20 (since the constant term on the right-hand side is 16)

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The complete question may be:

What value of h is needed to complete the square for the equation [tex]x^2+8 x+32=(x-h)^2+16[/tex] ?

The area of the play area is 8.74 square feet.

If Highwood Park has 420 feet of fencing, then we can use the formula f = 47(a + 9) – 16 to calculate the area of the play area.

This formula takes in account the area (a) of the play area, as well as the number of feet of fencing needed to enclose it (f).

In this equation, the number of feet of fencing (f) is equal to 47 multiplied by the area (a) plus 9, and then subtracted by 16.

Since we know that the amount of fencing is 420 feet, we can solve the equation for the area, a.

First, we need to subtract 16 from both sides of the equation. This leaves us with

=> 420 = 47a + 9.

Next, we subtract 9 from both sides of the equation, which gives us

=> 411 = 47a.

Finally, we divide both sides of the equation by 47, which gives us

=> a = 8.74.

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Answer:

22.86

multiple 3.54 to 9

Answer:

w² + 5w - 7

b = 5

c = -7

Step-by-step explanation:

(10w + 3)(w - 1) - (2 - 3w)² (distribute)

10w² - 10w + 3w - 3 - (2 - 3w)² (combine like terms)

10w² - 7w - 3 - (2 - 3w)² (expand (2 - 3w)²)

10w² - 7w - 3 - ((2 - 3w)(2 - 3w)) (distribute)

10w² - 7w - 3 - (4 - 6w - 6w + 9w²) (combine like terms)

10w² - 7w - 3 - (4 - 12w + 9w²) (distribute the negative)

10w² - 7w - 3 - 4 + 12w - 9w² (combine like terms)

w² + 5w - 7

Therefore, b = 5 and c = -7.

Answer:

The domains are (1,4,9) Ranges are (-1,-2,-3)

Step-by-step explanation:

The domain is on the x-axis and the range is on the y-axis

Answer: To determine how much money each department will receive from this year's fundraiser, we need to know the percentage of the total amount raised that each department will receive. We can calculate this by dividing the amount raised by the total percentage allocated to each department. Here is an example calculation:

Assuming there are three departments - A, B, and C, and they will receive 40%, 30%, and 30% of the total amount raised, respectively.

Step 1: Calculate the total percentage allocated to all departments

40% + 30% + 30% = 100%

Step 2: Calculate how much money each department will receive based on their percentage share of the total amount raised

Department A: 40% of $160 = $64

Department B: 30% of $160 = $48

Department C: 30% of $160 = $48

So, department A will receive $64, department B will receive $48, and department C will receive $48 from this year's fundraiser.

Note: The percentage allocation for each department is assumed in this example, so you should adjust the percentage according to your specific situation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

so the bike is 7. car is 8 walk is 9 bus is 12 so in total it will be 36 pupils to travel to school