A circular "No Parking" road sign has a diameter of 26 inches.

Which measurement is closest to the area of the sign in square inches?


81.64 in.²

163.28 in.²

530.66 in.²

2,122.64 in.²

The equation for the line passing through P and parallel to line m is y - 4 = 0.

An equation is a mathematical statement that expresses the equality of two expressions, usually involving unknowns or variables. An equation typically uses an equals sign ("=") to denote the relationship between two expressions. Equations are used to solve problems in many areas of mathematics, including algebra, calculus, and geometry.

The equation for the line passing through P and parallel to line m is y - 4 = 0 (m), where m is the slope of line m. This equation is in slope-intercept form and can be used to represent the line passing through P and parallel to line m.

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The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

According to the given question.

We have a function

f(x) = -1/(5x -12)

As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.

The difference quotient formula of the function y = f(x) is

[f(x + h) - f(x)]/h

Where,

f(x + h) is obtained by replacing x by x + h in f(x)

f(x) is a actual function.

Therefore, the difference quotient formual for the given function f(x)

= [f(x + h) - f(x)]/h

= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)

= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)

= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)

= \(\frac{-1+5h}{(5x +h-12)(h)}\)

= \(\frac{-1+5h}{5xh + h^{2} -12h}\)

= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)

= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)

Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

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The given statement that is, -1 is equivalent to umax, therefore when w=4, -1 is equivalent to 15 is False because  Umax is a term used in computer science to represent the maximum unsigned integer value that can be stored in a variable.

It is not equivalent to -1. Therefore, the statement "when w=4, -1 is equivalent to 15" is also not correct.

In general, the value of umax depends on the size of the variable used to store it. For example, if the variable is 8 bits, the value of umax would be 255 (2^8 - 1). If the variable is 16 bits, the value of umax would be 65,535 (2^16 - 1), and so on.

So, to answer the question, -1 is not equivalent to umax, and therefore the statement "when w=4, -1 is equivalent to 15" is false.

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Answer:

30

Step-by-step explanation:

Starting number is 6, doubled, then returned to original number and added 3, then 6, then so on. Next set of numbers would be:

30, 24, 48, 38...

Answer:

-30

Step-by-step explanation:

3 (2(-3) - 4)

= 3(-6 - 4)

= 3(-10)

= -30

Answer:

1 Let x=1x=1.

2\times 1\times 4=8

2×1×4=8

2 Simplify  2\times 12×1  to  22.

2\times 4=8

2×4=8

3 Simplify  2\times 42×4  to  88.

8=8

8=8

Step-by-step explanation:

What is the Value of the expression 3 (2x - 4) when x = -3?​

2 Divide both sides by 88.

x=1

The perimeter is the distance all the way around. So it's the sum of the lengths of all 4 sides.

From the picture, you can clearly see the lengths of all 4 sides.

Writum down and adum up !

The required value of x for the given equation of line is 3.

The equation of straight line is defined as the y = mx +c or ax + by = c, where y is point on y-axis and x is the point n x-axis, m is slope of the line.

According to given data in the question:

we have,

8x-3y=21-----(1)

And 3x+y=10

multiply 3 both sides

9x+3y=30------(2)

To find the value of x,

Add equation 1 and 2, we get

x = 3

Thus required value of x is 3.

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Answer:

370

Step-by-step explanation:

510 times 2 is 1020 - cost for 2 diamond and 2 silver

1300-1020 is 280 - cost for remaining 2 silver

280 divided by 2 = 140 - cost for each silver

510-140 is cost for 1 dimond = 370

Answer:

3^11 kilogram

Step-by-step explanation:

We were told a newborn blue whale weighs 3^7

But an adult blue whale weighs 81 times a new way of the newborn this can be expressed below as

=81×3^7

This can be expressed in standard form as

3^4 × 3^7

Then we need to determine number of kilograms the adult blue whale weigh.

81=3^4

=3^11

Therefore, number of kilograms the adult blue whale weigh 3^11kg

Answer:

hwuwbwiwbaisbiwbaiw is aisvsuwvwjbsisbabs

Answer: A triangular prism has a base of a rectangle as shown in this picture.

Step-by-step explanation: If your having trouble recognizing prisms here's a tip. All prisms have a rectangular base. :)

Answer:

\((x,y)=(-\frac{122}{5}, 16)\)

Step-by-step explanation:

Substitute the value of y

\(\left\{{{y=16} \atop {-5x-7y=10}}\right.\)

Solve the equation

\(-5x-7*16=10\)

A possible solution is

\(x=-\frac{122}{5}\)

Check the solution

\((x, y) = (-\frac{122}{5}, 16)\\\)

Simplify

\(\left \{ {{-2+16=14} \atop {-5*(-\frac{122}{5})-7*16=10}} \right.\)

The ordered pair is a solution

\(\left \{ {{14=14} \atop {10=10}} \right.\)

Answer:

X= 9

Y = -6

Step-by-step explanation:

first of all setting up the equation and solve it like a system of linear equations

5x+4y=21

-3x+2y=-39

then multiply -2 on the entire second equation

5x+4y = 21

6x-4y= 78

then eliminate the 4ys and you get

11x = 99

x = 9

lastly subsititue the 9 back into one of the original equations

5(9) + 4y =21

45 + 4y = 21

4y = -24

y = -6

Answer:

-3x+2y=-39

2y=-39+3x

y=-39+3x÷2 equation 1

5x+4y=21 equation 2

5x+4(-39+3x)÷2=21

5x+2(-39+3x)=21

5x+(-78)+6x=21

5x-78+6x=21

5x+6x-78=21

11x-78=21

11x=21+78

11x=99

x=99÷11

x=9

putting value of equation 2 in equation 1

y=-39+3x÷2

y=-39+3×9÷2

y=-39+27÷2

y=-12÷2

y=-6

x=9 and y=-6 answer

hope this may help you !!!!

Answer:

3:1

Step-by-step explanation:

who did not wear = 28 - 21

= 7

ratio = 21: 7

= 3:1

Answer2:34 P.M

Step-by-step explanation:

Answer:

2: 34pm

Step-by-step explanation:

6.14 - 53= 5.21pm

5.21 - 1.17= 4.04pm

4.04 - 1.30= 2.34pm

Answer:

Step-by-step explanation:

We can simplify the expression √5 × √12 × √50 as follows:

√5 × √12 × √50 = √(5 × 12 × 50)

To simplify the product under the square root, we can factor the numbers into their prime factors:

5 = 5

12 = 2^2 × 3

50 = 2 × 5^2

Therefore, 5 × 12 × 50 = 2^2 × 3 × 5^3 = 2^2 × 5^3

Substituting this back into the original expression, we get:

√5 × √12 × √50 = √(2^2 × 5^3)

Taking the square root of the product, we can simplify further:

√5 × √12 × √50 = √(2^2) × √(5^3) = 2 × 5√5^2 = 2 × 5 × 5 = 50

Therefore, √5 × √12 × √50 simplifies to 50.

Answer:

-6

Step-by-step explanation:

Natural numbers are any whole number that is 0+. So, we 100% know that -6 is an integer, as natural numbers are only positive.

Answer:

40m

Step-by-step explanation:

4x10=40

We can be 95% confident that the true population mean TV viewing time is between 3.812 and 4.388 hours.

To calculate the 95% confidence interval, we use the formula:

CI = x' ± Zα/2 * (σ/√n)

Where:

x' = sample mean

Zα/2 = the Z-score associated with the desired confidence level (in this case, 95%, so Zα/2 = 1.96)

σ = population standard deviation

n = sample size

Substituting the given values, we get:

CI = 4.1 ± 1.96 * (1.3/√78)

Calculating the standard error (SE) first:

SE = σ/√n

SE = 1.3/√78

SE ≈ 0.147

Then we substitute the SE value in the CI formula:

CI = 4.1 ± 1.96 * 0.147

CI = 4.1 ± 0.288

CI = (3.812, 4.388)

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Answer:

205,000

Step-by-step explanation:

(100,000*0.05) *21 +100,000

Answer:

329

Step-by-step explanation:

Answer:

  (b)  1 - x - 2 + 2 x = 10 x - 25 - x

Step-by-step explanation:

The distributive property tells you the factor outside parentheses multiplies each term inside parentheses.

__

  1 -(x +2) +2x = 5(2x -5) -x

The minus sign outside the parentheses on the left side of the equal sign represents a factor of -1. Using the distributive property there, we have ...

  1 +(-1)(x) +(-1)(2) +2x = 5(2x -5) -x

  1 -x -2 +2x = 5(2x -5) -x . . . . . . simplify a bit

The 5 outside parentheses on the right side of the equal sign similarly multiplies each of the terms inside those parentheses:

  1 -x -2 +2x = (5)(2x) +(5)(-5) -x

  1 -x -2 +2x = 10x -25 -x . . . . . . . . matches the second choice

_____

Additional comment

It might be helpful to think of parentheses as a "bag." The factor outside tells you how many bags you have. (All are the same.) When you eliminate the parentheses, you are essentially dumping the contents of the bags into one pile. Since all of the bags have the same contents, the total is the product of what's in a bag and the number of bags.

Answer:

5.29

Step-by-step explanation:

Add it like normal, then move the decimal point.

Based on the expanded the expression (2 - 3x)², the student who got the answer 4 – 12 x + 9x² is the first student.

In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two (2) or more variable on a graph, with a maximum exponent of two (2).

In Mathematics, the standard form of a quadratic function is given by ax² + bx + c = 0.

By applying the following binomial expression to the given quadratic function, we have:

(a - b)² = a² - 2ab + b²

(2 - 3x)² = 4 - 2(2)(3x) + 3x²

4 - 2(2)(3x) + 3x² = 4 - 12x + 9x².

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Answer:

x = -8

Step-by-step explanation:

Set one side of the equation to be -36, and the other side to be the actual equation for g(x) and solve for x.

-35 = 5x + 4

Subtract 4 from both sides.

-40 = 5x

Divide both sides by 5

-8 = x

x = -8

The partial derivatives Zx and Zy are:
Zx = 1/(x + ln y)
Zy = (1/y)/(x + ln y)

Given the equation 2 = ln(x + ln y), we need to evaluate the partial derivatives Zx and Zy with respect to x and y, respectively.
Differentiate the equation with respect to x.
For Zx, we treat y as a constant and differentiate the equation with respect to x:
Zx = d/dx[ln(x + ln y)].

Using the chain rule, we get:
Zx = 1/(x + ln y) * d/dx(x + ln y)4
Since the derivative of x with respect to x is 1 and the derivative of ln y with respect to x is 0 (as y is treated as a constant):
Zx = 1/(x + ln y)
Step 2: Differentiate the equation with respect to y.
For Zy, we treat x as a constant and differentiate the equation with respect to y:
Zy = d/dy[ln(x + ln y)]
Using the chain rule, we get:
Zy = 1/(x + ln y) * d/dy(x + ln y)
Since the derivative of x with respect to y is 0 (as x is treated as a constant) and the derivative of ln y with respect to y is 1/y:
Zy = 1/(x + ln y) * (1/y).

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By using the combination theorem, it can be concluded that the value of m + n = 125

Combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.

nCr = n! / (n - r)! r!

Let's denote the number of rectangles as r, and the number of squares as s:

r = ⁹C₂ x ⁹C₂

 = (9! / (9 - 2)! 2!) x (9! / (9 - 2)! 2!)

 = (9! / 7! 2!)   x   (9! / 7! 2!)

 = 36 x 36

 = 1296 rectangles

s = 1² + 2² + 3² + 4² + 5² + 6² + 7² + 8²

  = 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64

  = 204 squares

Then we get the ratio of s : r as follows:

s / r = 204 / 1296

      = 17 / 108

Since m represents the horizontal lines and n represents the vertical lines, then m + n = 17 + 108 = 125.

Thus, it can be concluded that the value of m + n = 125

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