What is the following sum?

Answer:

true

Step-by-step explanation:

Answer:

false because 140.23 is not less then 140.203

Answer:

133.3

Step-by-step explanation:

Answer:

133.333 and so on

Step-by-step explanation:

To find this you just divide 40 by 0.3

Answer:

Step-by-step explanation:

\(\frac{10a}{10}\) = \(\frac{50}{10}\) ( Division property of equality )

or

10a × \(\frac{1}{10}\) = 50 × \(\frac{1}{10}\) ( Multiplication property of equality )

(It depends of the options you have in the answer choices)

The value of y'(3) is 4.

To find y'(3) by implicit differentiation, we differentiate both sides of the given equation with respect to x. Let's differentiate each term:

d/dx (5x^2) + d/dx (3x) + d/dx (xy) = d/dx (3)

Applying the power rule and product rule, we get:

10x + 3 + y + x(dy/dx) = 0

Rearranging the equation, we have:

x(dy/dx) = -10x - y - 3

To find y'(3), we substitute x = 3 into the equation:

3(dy/dx) = -10(3) - y - 3

3(dy/dx) = -30 - y - 3

3(dy/dx) = -33 - y

Now, we can substitute y(3) = -17 into the equation:

3(dy/dx) = -33 - (-17)

3(dy/dx) = -33 + 17

3(dy/dx) = -16

dy/dx = -16/3

y'(3) = -16/3

Therefore, the value of y'(3) is -16/3 or approximately -5.333.

To find the equation of the tangent line to the graph at point (3, -17), we can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

Substituting the values of the point (3, -17) and the slope y'(3) = -16/3, we have:

y - (-17) = (-16/3)(x - 3)

y + 17 = (-16/3)(x - 3)

Simplifying and rearranging the equation, we get:

y = (-16/3)(x - 3) - 17

y = (-16/3)x + 16 + 1 - 17

y = (-16/3)x

Therefore, the equation of the tangent line to the graph at the point (3, -17) is y = (-16/3)x.

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Answer:

a) x = 12, y = 24

Step-by-step explanation:

Let the leftmost triangle be called A

And the rightmost triangle be called B

Triangle A) Recall that the hypotenuse in a right isosceles triangle is the length of a leg multiplied by √2

To find x:

Triangle B) Recall that the leg opposite to the 30° angle in a 30°-60°-90° triangle is always half the hypotenuse

Since we know that the leg opposite to 30° is 12 ( which is x), and the hypotenuse is y, we can solve for y

Solve for y:

x = 12, y = 24

-Chetan K

The corresponding parts are:

The statement is given as:

△ABC was transformed using two rigid transformations.

The rigid transformations imply that:

The images of the triangle after the transformation would be equal

So, the corresponding parts are:

The results are true because rigid transformations do not change the side lengths and the angle measures of a shape

To do this, we simply make use any of the following congruent theorems:

The classmate's claim is that

Only two pairs of corresponding parts are enough to prove the congruent triangle

The above is true because of the following congruent theorems:

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The digits at ones place are 8 and the hundredth place is 9.

The number which is left to the decimal is considered in one's places as proceeding with the numbers tens places and the hundredth place is obtained. Similarly on the right side moving towards the right gives tenth place and hundredth place.

18.09

(1) - It is in the Tens place

(8) - Ones place

(.) - Decimal point

(0) - Tenth place

(9) Hundredth place

Therefore, The digits at one place are 8 and the hundredth place is 9.

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It would take the automated car wash 20 hours to wash 120 cars.

What is rate ?

In general, a rate is a measure of how much of something happens within a certain period of time. It can be thought of as a ratio that compares two different units of measurement.

In the context of the problem, the rate at which the automated car wash can wash cars is the number of cars that it can wash per unit of time.

The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

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The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

Answer:185

Step-by-step explanation:the answer is 185 because you have to add

Answer: 5 to the power of 2

Step-by-step explanation:

Answer:

\(5^{2}\)

Step-by-step explanation:

\(\frac{5^4 x 5^3}{5^5} = \frac{5^7}{5^5} = 5^2\)

The radian measure of angle A is (16/9)π.

To convert degrees to radians, we use the conversion factor:

\(1\ degree = \pi /180\ radians\)

Given that angle A is 320 degrees, we can calculate its radian measure as follows:

Angle A in radians = (320 degrees) * (π/180 radians/degree)

                    = (320π)/180 radians

                    = (16/9)π radians

Therefore, the radian measure of angle A is (16/9)π.

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Answer:

280 calories

Step-by-step explanation:

60 minutes in an hour

60/15 = 4

70 × 4 = 280

280 calories

Answer:

280 calories.

Step-by-step explanation:

15x4=60. There are 60 minutes in one hour. Therefore, by multiplying the amount of calories burned by 4, you get the answer of 280.

Answer:

Step-by-step explanation:

REF: 060309a

ANS:

(9,−2)

(x,y)-->(x+5,y-4)

Transformation involves changing the position of a point.

The image of the translation is (9,-2).

The point is given as:

\(\mathbf{A= (-2,3)}\)

The image of the point is:

\(\mathbf{A'= (3,-1)}\)

The translation rule is calculated as:

\(\mathbf{T = <x + 3--2,y-1-3>}\)

\(\mathbf{T = <x + 5,y-4>}\)

So, the image of (4,2) is:

\(\mathbf{Image = (4 + 5, 2 -4)}\)

\(\mathbf{Image = (9, -2)}\)

Hence, the image of the translation is (9,-2).

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The length and the width of the rectangle are 2 inches and 13 inches respectively.

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Let the width of the rectangle be represented by x.

Given the length of a rectangular poster is 7 more inches than three times its width. Therefore, the length can be written as,

Length = (3 × width)+7 more inches = 3x+7

Also, given the area of the poster is 26 sq. inches, therefore, the area of will be,

26 = x × (3x+7)

26 = 3x² + 7x

3x² + 7x - 26 = 0

\(x = \dfrac{-(7)\pm\sqrt{(7)^2-4(3)(-26)}}{2(3)}\\\\x = 2, -4.333\)

Since the width can not be negative, therefore, the width of the rectangle is 2. The dimensions of the rectangle are,

Width = x = 2 inches

Length = 3x + 7 = 13 inches

Hence, the length and the width of the rectangle are 2 inches and 13 inches respectively.

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The correct rule to describe the function g as a function of f and gives the correct rule is that g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

The correct rule to describe the function

g(x) = 3f(x)

in terms of the function f(x) = x³-2x²+7x-11 is that

g(x) = 3(x³-2x²+7x-11) and thus

g(x) = 3x³-6x²+21x-33.

In order to obtain the function g(x) from the given function f(x), it is necessary to multiply it by a constant, in this case 3.

Therefore, g(x) = 3f(x) means that g(x) is three times f(x).

Thus, we can obtain g(x) as follows:

g(x) = 3f(x) = 3(x³-2x²+7x-11) = 3x³-6x²+21x-33

Therefore, the correct rule to describe the function g as a function of f and gives the correct rule is that

g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

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Answer:

2.25x 10^-6

Step-by-step explanation:

In order to find out which is the scientific notation you would want to count how many zeros are in front of the number in this case it has 6 zeros before the series of numbers meaning that it would be 10^-6

The number of tables and chairs will the school purchase for the cafeteria exists tables and chairs will the school purchase for the cafeteria exists 10 tables and 80 chairs.

A function that converts zero or more input values into a clearly defined output value is referred to in mathematics as an operation. The operation's complexity is measured by the number of operands.

A value is computed utilizing operands and a math operator as part of the mathematical "operation." In order to be applied to the provided operands or integers, the math operator's symbol has predetermined rules.

In each table, there are 8 chairs. 8 × 40 = 320

1 table cost 200$

Each set of table + chairs is 200 + 320 = 520

Total amount of money the school can spend is 5200

Therefore 5200 ÷ 520 = 10

So there are 10 sets of Table + chairs

So there are 10 tables

Total amount of chairs is 8 × 10 = 80

Therefore, the number of tables and chairs will the school purchase for the cafeteria exists tables and chairs will the school purchase for the cafeteria exists 10 tables and 80 chairs.

The complete question is:

To furnish a school cafeteria a school can spend $5200 on tables and chairs. Tables cost $200 each and chairs cost $40. There are 8 times as many chairs as tables. How many tables and chairs will the school purchase for the cafeteria?

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If  (16,30, y) generate a Pythagorean Triple, the value of y is 34.

It is important to know that the Pythagorean theorem is a theorem that relates the sides that make up a right triangle.

The Pythagorean Triple (16, 30, y) represents the lengths of the sides of a right-angled triangle. According to the Pythagorean Theorem, the square of the hypotenuse (y) is equal to the sum of the squares of the other two sides (16 and 30).

Therefore, we can write the equation:

y^2 = 16^2 + 30^2

Solving for y:

y^2 = 256 + 900

y^2 = 1156
y = √1156
y = 34

So, the value of y is 34. Therefore, the Pythagorean Triple is (16, 30, 34).

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The formula for for Rn is given as Rn = Σ 18/n (1 - 12i/n + 36i²/n²).

We are given the function f(x) = 3x² on the interval [-1, 5] . This gives

Δx =6/n and xi= -1 + 6i/n.

Therefore,

Rn =  Σ f(xi) Δx

     = Σ 3 (-1 + 6i/n)² 6/n

     = Σ 18/n (1 - 12i/n + 36i²/n²)

The limit of a function in mathematics is a key idea in calculus and analysis regarding the behavior of that function close to a specific input.

Informally, a function f gives each input x an output f(x). If f(x) approaches L as x approaches input p, we say that the function has a limit L at that location. More specifically, any input that is sufficiently close to p when f is applied forces the output value arbitrarily close to L.

The concept of limit is specifically used in the various definitions of continuity. Roughly speaking, a function is continuous if all of its limits agree with the values of the function. The term "limit" is also used in the definition of the mathematical term "derivative," which in one-variable calculus refers to the maximum value of the slope of secant lines on a function's graph.

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The subset of the data set with x2, x3, and x4 would include 6 missing values.

The subset of the data set with x2, x3, and x4 would include 6 missing values.

1. Subset the data set to include only x2, x3, and x4.

2. Count the number of missing values in each variable.

3. Add the number of missing values for each variable together.

4. The total number of missing values in these three variables is 6.

The subset of the data set with x2, x3, and x4 would include 6 missing values.

Subset the data set to include only x2, x3, and x4.

The complete question is :

Subset the data set to include only x2, x3, and x4. How many missing values are there in these three variables?

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Answer:

Mean: 17.6 Median: 18 Mode: N/A Range: 27

Step-by-step explanation:

x/3-10=8

Add 10 to each side x/3=18 Multiply by 3

Answer:

x/3 - 10 = 8

Step-by-step explanation:

It seems like you want me to provide an equation, so here it is:

10 less equates to "minus 10", or "10 minus". [-10]

Quotient refers to division, and "a number" can be replaced with a variable: x. This is our numerator. Our denominator is "3", as it states, "and 3". Finally, the "is" statement refers to equality, and we can replace this with the equal sign.

Putting these all together, you get the equation, x/3 - 10 = 8.

Answer:

3/4

Step-by-step explanation:

Total number of cases = 8  [1,2,4,2,5,3,1,2]

No. of number less than 4 = 6 [1,2,2,3,1,2]

Probability = 6/8 = 3/4

Answer: 75%

Step-by-step explanation:

Well there are 8 possibilities every time you spin. The chance is 6/8 that you land on a number less than 4, if you spin it once (since 6 out of the 8 possibilities are less than 4). So you just have to divide 6/8 which is 0.75. Multiply by 100 (move the decimal over 2 times to the right) to get the percentage which is 75%.

Answer:

y=-x-1

Step-by-step explanation:

Venn diagram:

The percentage of students that studied mathematics = 25%
The percentage of students that studied electronics = 20%
The percentage of students that studied Communications = 55%
The percentage of students that studied both electronics and Communications subjects = 10%

P(studied Communications or electronics or both subjects)
= P(studied Communications) + P(studied electronics) - P(studied both electronics and Communications subjects)
= 55% + 20% - 10%
= 65%

Therefore, the probability that a student studied Communications or electronics or both subjects is 65%.

P(studied mathematics and Communications subjects)
= P(studied mathematics) × P(studied Communications)
= 25% × 55%
= 13.75%

Therefore, the probability that a student studied mathematics and Communications subjects is 13.75%.

Drawing a Venn diagram, we have 25% studying Mathematics (M), 20% studying Electronics (E), and 55% studying Communications (C).10% studied both Electronics and Communications.

Therefore, the percentages become as follows: M = 25% - 10% = 15% E = 20% - 10% = 10% C = 55%.

Part 2 - To obtain the probability that a student studied Communications or Electronics or both subjects

P(Communication or Electronics) = P(Communication) + P(Electronics) - P(Communication and Electronics) = 55% + 20% - 10% = 65%.

The probability that a student studied Communications or Electronics or both subjects is 65%.

Part 3 -To obtain the probability that a student studied Mathematics and Communications subjects,

P(Mathematics and Communications) = P(Mathematics) * P(Communications) = 25% * 55% = 13.75%.

The probability that a student studied Mathematics and Communications subjects is 13.75%.

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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

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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The set of ordered pairs {(–5,2), (–4,1), (–3,0), (–3,–1)} is a relation but not a function.

The set of ordered pairs are {(–5,2), (–4,1), (–3,0), (–3,–1)}

We have to check whether the set is a relation or a function.

We know that a relation is a set of ordered pairs that relate inputs (x-values) to outputs (y-values).

So the set of ordered pairs is a relation.

We know that in a function, each input (x-value) is associated with exactly one output (y-value).

In this set of ordered pairs, the input –3 is associated with two different outputs: 0 and –1.

Therefore, it does not satisfy the criteria for a function, it is not a function.

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