Which of the following choices will simplify (2 + 6) . 12.3+19​

Possible age:

older brother could be 10

mary could be 8

Equation:

x - y = 2

To find the slope, use the formula below:

A. (4, 7) and (6, 2)

Here, we have:

(x1, y1) ==> (4, 7)

(x2, y2) ==> (6, 2)

B. (-3, 5) and (-2, 0)

C. (4, 7) and (4, 2)

D. (3, 6) and (-2, 6)

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

integers are always rational. They don't include decimals

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

All integers are rational numbers, since they can be expressed as a ratio (fraction) with a denominator of 1.

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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When the area in the first quadrant bordered by x=0, y=1, x=y4, and y=10 is rotated about the line y=10, the solid's volume is 11π/3

We using,

V = π ∫|(f(x) - d) 2 - (g (x) - d) 2|dx Integrating from a to b

For this case, a = 0, b = 1, g(x) = 1, f(x) = x1/4

Simplifying the equation,

V = π∫|(x1/4 - 10) 2 - (1 - 10) 2dx = π∫|x1/2 - 20x1/4 + 100 - 81|dx

= π[(2/3) x 3/2 - 20(4/5) x 5/4 + 19x] evaluated from at 1 and 0

= π|(2/3 -16 +19) = 11π/3

The complete question is?

find the volume of the solid obtained by rotating the region in the first quadrant bounded by x=0, y=1, x=y^4 about the line y=10

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We are given an initial function:

And we are given the function:

The relationship between the two functions is the following:

When we have this type of relationship:

This means that the graph of g(x) is the translation of "a" units to the right of the graph of f(x).

Therefore, the graph of g(x) is 12 units to the right of the graph of f(x)., The right answer is B

In the function given, the type of discontinuity that exists at x = -3 when b is not equal to 11/6 is a jump discontinuity.

For the function f(x) to be continuous at x = -3, the limit of f(x) as x approaches -3 from both the left and the right must be equal to f(-3). That is:

lim x→-3+ f(x) = f(-3) = lim x→-3- f(x)

Since x < -3 for the second part of the function, we can calculate the left-hand limit as:

lim x→-3- f(x) = -3(-3)² + 5(-3) + 4b(-3) = 9 + (-15) - 12b = -6 - 12b

And the right-hand limit as:

lim x→-3+ f(x) = 3(-3)² - 2b(-3) = 27 + 6b

Therefore, we must have:

-6 - 12b = 27 + 6b

Solving for b, we get:

b = 33/18 = 11/6

So when b = 11/6, the function is continuous at x = -3.

Now let's consider the case where b is not equal to 11/6. In this case, the left-hand limit and right-hand limit are not equal, which means the function has a jump discontinuity at x = -3. The value of the function at x = -3 from the left-hand side is:

f(-3-) = -3(-3)² + 5(-3) + 4b(-3) = 9 - 15 - 12b = -6 - 12b

And the value of the function at x = -3 from the right-hand side is:

f(-3+) = 3(-3)² - 2b(-3) = 27 + 6b

Therefore, the type of discontinuity that exists at x = -3 when b is not equal to 11/6 is a jump discontinuity.

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Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

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The rate at which the water level is rising in the cistern 20 minutes after the filling process began 0.0852 meters per minute.

Given that, a cistern in the form of an inverted circular cone is being filled with water at the rate of 55 liters per minute.

The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.

We are given that the cistern is 7 meters deep and 5 meters for the opening, such that we can relate it to the radius, r, and the height of the water, h, in it as

7/5 = h/2r

⇒ r=7/5·2/h

⇒ r=14h/5

Now, we can express the volume of the water, V, in the cistern by multiplying the rate at which water is being pumped, R, to the time, t, or

V=Rt

Now, 1/3 πr²h

= 1/3 π(14h/5)²h

= 1/3 π×(196h²)/25 ×h

= π196h³/75

So, Rt=π196h³/75

h³=75Rt/π196

=∛(75Rt/π196)

=∛(75R/π196)·\(t^{(\frac{1}{3})\)

=∛(75R/π196)·1/3 \(t^{(\frac{-2}{3})\)

=1/3 ∛(75R/π196)· \(t^{(\frac{-2}{3})\)

=1/3 ∛(75×55/π196)· \(20^{(\frac{-2}{3})\)

= 1/3× ∛(4125/615.44) 0.1357

= 1/3× 1.885440× 0.1357

= 0.0852 meters per minute

Therefore, the rate at which the water level is rising in the cistern 20 minutes after the filling process began 0.0852 meters per minute.

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Answer:

To remove the parentheses using the distributive property, we need to distribute the -6 to both terms inside the parentheses. This gives us:

(-6)(-2x) + (-6)(4w) + (-6)(-3)

Simplifying this expression using the distributive property gives us:

-12x + (-24w) + 18

Combining like terms, we get:

-12x - 24w + 18

This is the expression with the parentheses removed.

Given a circle with d = 6 in.

Circunference:

C = π × d

C = π × 6 in

C = 18.85 in

Area:

A = π × r²

A = π × 3²

A = 28.27 in²

ANSWER

circumference = 18.85 in

area = 28.27 in²

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

Answer:

7 is top answer bottom is 6, 5, and 5

Step-by-step explanation:

simple math but your welcome

Answer:

Answer is 12+(9÷y)

Hope this helps

Answer:

17x and (5x+2) + (7x+ 3)

Step-by-step explanation:

The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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Solution

Step 1

Write an expression for the question

Let the number be x

2x + 1 ≥ 7

2x ≥ 7 -1

2x ≥ 6

2x/2 ≥ 6/2

x ≥ 3

Step 2

Write the solution set for the problem

{x | x ≥ 3} Option D

answer my questions plz

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

Answer:

10

Step-by-step explanation:

the max is 18 it currently has 8 the owner used 2

16- (8-2)

16-6

10

To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.

New height = 67ft - 52ft = 15ft

Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.

Therefore, the area of the parallelogram is 900 square feet.

~~~Harsha~~~

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

A

Step-by-step explanation:

Using the Pythagorean Theorem, you can find that the length of the final leg is:

\(\sqrt{5^2-3^2}=\sqrt{25-9}=\sqrt{16}=4\)

Therefore, the answer is A. Hope this helps!