May someone please help me with this question thank you.

The whole number that is a solution for the inequality x ≥ 4 but is not a solution for the inequality x > 4 is 4.

Option B is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

here,

We have,

x ≥ 4 and x > 4

Now,

x ≥ 4 means that x can be 4 and greater than 4.

x > 4 mean x is greater than 4.

So,

4 is a solution to x ≥ 4 but not a solution to x > 4.

Thus,

4 is the whole number.

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When rounding a number to 2 decimal places, we are essentially keeping only the first two digits after the decimal point and discarding the rest. The third digit after the decimal point is the one that affects the rounding decision.

In this case, the number y is rounded to 9.68, which means that the third digit after the decimal point is either 5 or greater than 5. If it is 5 or greater, we round up the second digit after the decimal point. If it is less than 5, we simply truncate the decimal part.

To find the upper bound of y, we need to add 0.005 to 9.68, which is the smallest possible value for the third digit that would cause rounding up:

9.68 + 0.005 = 9.685

Therefore, the upper bound of y is 9.685.

To find the lower bound of y, we need to subtract 0.005 from 9.68, which is the largest possible value for the third digit that would not cause rounding up:

9.68 - 0.005 = 9.675

Therefore, the lower bound of y is 9.675.

Hence, the upper and lower bounds of y are 9.685 and 9.675, respectively.

Anne prediction on the amount of rain that will pour down is 60 inches

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

The amount of rain this year can be calculated as follows

Percentage = 20/100 = 0.2

So, we have

Proportion = 0.2 + 1  =  1.2

This gives

Amount = 1.2 × 50 = 60

Hence the amount of rain this year is 60 inches

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Answer:

359°

Step-by-step explanation:

When an image is rotated by a multiple of 360 degrees, it returns to its original position because it has completed one full revolution. However, if the image is rotated by any angle less than 360 degrees, it will not return to its exact original position.

For example, if an image is rotated by 45 degrees, it will not return to its exact original position, but will instead be in a new and unique position. If the image is then rotated by another 45 degrees, it will again be in a new and unique position, and so on.

Therefore, the highest number of degrees an image can rotate without returning to its exact original position is 359 degrees.

Answer: 359 degrees

Step-by-step explanation:

If you rotate any object exactly 360 degrees, it returns to it's original position. Remember that phrase "360 no-scope?" It involves spinning until you're back where you started; try doing it right now. You'll be back where you were. But this question wants to know how far you can rotate an object without it being back where it was. I would usually say 359.999999999, but it's a whole number answer, so we'll stick with 359. Hope this helps!

The mean is 389.875, the median is 333.5, and there is no mode for this set of numbers.

To find the mean, median, and mode for the set of numbers 244, 276, 114, 628, 572, 313, 354, 618, we will use the following steps:

1. Mean: The mean is the average of the numbers. To find the mean, we add up all the numbers and divide by the number of numbers in the set.

Mean = (244 + 276 + 114 + 628 + 572 + 313 + 354 + 618) / 8 = 3119 / 8 = 389.875

2. Median: The median is the middle number in the set when the numbers are arranged in ascending order. If there is an even number of numbers, the median is the average of the two middle numbers.

First, we arrange the numbers in ascending order: 114, 244, 276, 313, 354, 572, 618, 628
Since there are 8 numbers, the median is the average of the 4th and 5th numbers: (313 + 354) / 2 = 333.5

3. Mode: The mode is the number that appears most frequently in the set. If there are multiple numbers that appear the same number of times, they are all considered the mode.

In this set, there are no numbers that appear more than once, so there is no mode.

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The solution to the system of equations, 10x-11=-3y 5y-5=-10x, is x = 2 and y = -3.

To solve the system of linear equations by elimination, we need to eliminate one of the variables to find the value of the other variable. We can do this by multiplying one equation by a constant and adding it to the other equation.

10x - 11 = -3y  (Equation 1)

5y - 5 = -10x  (Equation 2)

We subtract the equations to eliminate the x variable:

10x - 11 - 5y + 5 = -3y + 10x

-5y + 3y = 10x - 10x + 6

-2y = 6

y = -3

Now we find the value of x:

5(-3) - 5 = -10x

-10x = -15 - 5

10x = 20

x = 20/10

x = 2

So, the solution to the system of equations is x = 2 and y = -3.

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The equation of a horizontal line that passes through (4,2) in slope intercept form is y = 2.

A horizontal line has a slope of 0, which means that the y-value remains constant while the x-value changes. In slope intercept form, the equation of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

Since the slope of a horizontal line is 0, the equation of a horizontal line can be written as y = 0x + b, or simply y = b. The y-intercept is the value of y when x = 0, which is the same as the y-value of any point on the line.

In this case, the line passes through the point (4,2), so the y-value is 2. Therefore, the equation of the line in slope intercept form is y = 2.

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(a) Revenue will be zero when p = $0 and $2000.

(b) Revenue will exceed $1,400,000 when p > 500 or p > 700

(a) To find the prices at which revenue is zero, we need to set R(p) equal to 0 and solve for p:0 = -4p^2 + 8000p0 = 4p(p - 2000)So either 4p = 0 or p - 2000 = 0.

Solving for p gives us:

p = 0 or p = 2000

Therefore, the prices at which revenue is zero are $0 and $2000.

(b) To find the range of prices for which revenue exceeds $1,400,000, we need to set R(p) greater than 1,400,000 and solve for p:

1,400,000 < -4p^2 + 8000p

Rearranging the equation gives us:

0 < 4p^2 - 8000p + 1,400,000

Factoring the left side of the equation gives us:

0 < (p - 500)(4p - 2800)

So either p - 500 > 0 or 4p - 2800 > 0.

Solving for p gives us:

p > 500 or p > 700

Since we want the range of prices for which revenue exceeds $1,400,000, we need to take the larger value of p.

Therefore, the range of prices for which revenue exceeds $1,400,000 is p > 700, or prices greater than $700.

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The solution 143 milliters of HCl.

To answer this question, we need to calculate the ratio of HCl to water in the first solution, then apply that ratio to the second solution.

In the first solution, there are 66 milliliters of HCl and 90 milliliters of water, so the ratio of HCl to water is 66/90 = 0.733.

To make the second solution with the same concentration of HCl, it must have the same ratio of HCl to water. This means that for the second solution, 0.733 of the 195 milliliters of water must be HCl.

To calculate the amount of HCl in the second solution, we multiply 0.733 and 195: 0.733 * 195 = 143.985 milliliters of HCl. Since we cannot have part of a milliliter, the answer is 143 milliliters of HCl.

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When the diameter οf the is 10 feet, then the area οf the circle is 78.54 ft².

A circle is created in the plane by each pοint that is a specific distance frοm anοther pοint (center). Hence, it is a curve made up οf pοints that are separated frοm οne anοther by a defined distance in the plane. Mοreοver, it is rοtatiοnally symmetric abοut the centre at every angle. Every pair οf pοints in a circle's clοsed, twο-dimensiοnal plane are evenly spaced apart frοm the "centre." A circular symmetry line is made by drawing a line thrοugh the circle. Mοreοver, it is rοtatiοnally symmetric abοut the centre at every angle.

The circle's diameter is specified as 10 feet. Since we already knοw that the circle's diameter is twice its radius, we can calculate its radius as fοllοws:

diameter = radius / 2 = 10 / 2 = 5 feet

Area οf circle = πr²

π5²

= π5 × 5

= 78.54 ft²

The size οf the circle is 79 square feet when the answer is rοunded tο the next whοle number.

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The area of the circle to the nearest whole number is 79 square feet.

What is the diameter?

In geometry, the diameter of a circle is defined as the longest straight line segment that can be drawn between any two points on the circle, passing through the center of the circle. It is twice the length of the radius of the circle.

The formula for the area of a circle is A = πr^2, where r is the radius of the circle.

Given that the diameter of the circle is 10 feet, we can find the radius by dividing the diameter by 2:

radius = diameter / 2 = 10 ft / 2 = 5 ft

Now we can use the formula to find the area of the circle:

A = πr^2

= π(5 ft)^2

= 25π square feet

To get the answer to the nearest whole number, we can use the approximation π ≈ 3.14:

A ≈ 25 × 3.14

≈ 78.5

Therefore, the area of the circle to the nearest whole number is 79 square feet.

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Answer:

Albert receives $10,000, Brian receives $20,000, and Charles receives $30,000.

Step-by-step explanation:

1 + 2 + 3 = 6

Next, we can find out what fraction of the estate each person is entitled to:

Albert: 1/6 of the estate

Brian: 2/6 (or 1/3) of the estate

Charles: 3/6 (or 1/2) of the estate

Now, we can calculate the amount each person receives by multiplying their share by the total value of the estate:

Albert: (1/6) x $60,000 = $10,000

Brian: (1/3) x $60,000 = $20,000

Charles: (1/2) x $60,000 = $30,000

Cristiano is said to have racked up around 300 assists in his third year in power.

This estimate is based on the fact that Cristiano has been a prolific passer in his whole career and has frequently improved every season. Assuming he's maintained similar level of assists in his third season and Cristiano has improved season after season, his tally assists in his third year is likely higher than his average of 251 per season.

That's why it is safe to assume that Cristiano completed around 300 passes in his third year, a significant improvement over the previous 2 years. It increase in assists is likely due to Cristiano's increased confidence and comfort in the team, as well as learning more about the club and their plan. All of this together would allow Cristiano to make more passes and become a more efficient player overall.

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Answer:

(x, y)→(x,-y)

R(-4,0) S(-1,-3) T(2,-2)

Step-by-step explanation:

The opposite of a number is made by multiplying it by negative 1 (-1)

If it's reflected across the x axis, then the y axis will be the only one to change. (y to -y)

(x, y)→(x,-y)

Our formula for reflection across the x axis is (x,-y)

The rest is simple: Change each set of coordinates to an opposite y value.

The quadratic formula is used to solve  equations of the form ax^(2) + bx + c = 0. The formula is given by:

x = (-b ± √(b^(2) - 4ac))/2a

In this case, the coefficients are a = 9, b = -3, and c = -1. Plugging these values into the formula gives:

x = (-(-3) ± √((-3)^(2) - 4(9)(-1)))/2(9)

Simplifying the expression gives:

x = (3 ± √(9 + 36))/18

x = (3 ± √45)/18

x = (3 ± 3√5)/18

Simplifying further gives:

x = (1 ± √5)/6

So the two solutions to the equation are:

x = (1 + √5)/6 ≈ 0.62

and

x = (1 - √5)/6 ≈ -0.29

Therefore, the two solutions to the equation 9x^(2)-3x-1=0 are x ≈ 0.62 and x ≈ -0.29.

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Answer:

2

Step-by-step explanation:

Answer:

mean = 86

mean w/o 2 lowest = 92

median = 91

median w/o 2 lowest = 93

mode = 98

mode w/o 2 lowest = 98

Step-by-step explanation:

The correct equation for the sentence is: 24 = 31.4n - 8.4.

Twenty-four is equal to 31.4 times a number plus a negative 8.4 multiplied by the proper equation, which is:

24 = 31.4n - 8.4

This formula can be rewritten as follows:

31.4n = 24 + 8.4

And after being distilled:

31.4n = 32.4

Finally, by multiplying both sides by 31.4, we can find the value of n:

n = 32.4/31.4

Thus, the following is the proper equation for the phrase:

24 = 31.4n - 8.4.

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The identity \[ \frac{1}{\tan x(1+\cos 2 x)}=\csc 2 x \] is proved.

To prove the identity \[ \frac{1}{\tan x(1+\cos 2 x)}=\csc 2 x \], we can use the Double Angle Formula for Cosines and the Pythagorean Identity.

Using the Double Angle Formula for Cosines, we get:
$\cos2x = 2\cos^2 x - 1$

We can then substitute this into the original identity and simplify:
$\frac{1}{\tan x(1+\cos 2 x)}=\frac{1}{\tan x(1+2\cos^2 x - 1)}$

Using the Pythagorean Identity, $\cos^2 x + \sin^2 x = 1$, we get:
$\frac{1}{\tan x(1+\cos 2 x)}=\frac{1}{\tan x(\sin^2 x)}$

Using the inverse tangent function, $\tan^{-1}x = \frac{\pi}{2}-\sin^{-1}x$, and since $\sin 2x = 2 \sin x \cos x$, we can rewrite this as:
$\frac{1}{\tan x(1+\cos 2 x)}=\frac{1}{2 \sin x \cos x}$

Finally, using the definition of cosecant, $\csc x = \frac{1}{\sin x}$, we get:
$\frac{1}{\tan x(1+\cos 2 x)}=\csc 2 x$

Therefore, the identity \[ \frac{1}{\tan x(1+\cos 2 x)}=\csc 2 x \] is proved.

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Answer:

Its 48

Step-by-step explanation:

2x+4=4x-16 is your equation.

subtract 2x to both sides

4=2x-16

add 16 to both sides

20=2x

divide 2 by both sides.

10=x

Then plug in the 10.

2(10)+4+ 4(10) - 16=

24+24= 48

The sales tax that Bobbi paid was 10 dollars. Below, you will learn how to solve the problem.

To find the sales tax, we can simply subtract the cost of the text books from the total amount paid:

Sales tax = Total amount paid - Cost of text books

Sales tax = 130 dollars - 120 dollars
Sales tax = 10 dollars

Therefore, the sales tax that Bobbi paid was 10 dollars.

In mathematics, subtraction (also called subtraction) is an arithmetic operation that removes quantities from any kind of operation.

After subtracting, we will always have a smaller value than the one we had before.

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Isosceles trapezoid MNOP where MO = a + 13 and NP = 2a - 1,  The value of a 13.

A trapezoid, also known as a trapezium, is a four-sided polygon with two parallel sides, also called the bases. The non-parallel sides are called legs, and they can have different lengths. The parallel sides are perpendicular to the legs

In an isosceles trapezoid, the nonparallel sides are congruent, so we have MN = OP.

Also, the diagonal PN divides the trapezoid into two congruent right triangles, so we have:

[tex]MN^2 = (NP - MO)^2 + (MP)^2[/tex]

Substituting the given values, we get:

[tex]MN^2 = (2a - 1 - (a + 13))^2 + MP^2[/tex]

[tex]MN^2 = (a - 14)^2 + MP^2[/tex]

But since MN =OP and MO = NP - MN, we have:

[tex]OP = NP - MO = (2a - 1) - (a + 13) = a - 12[/tex]

So we also have:

[tex]OP^2 = (a - 12)^2 + MP^2[/tex]

Since MN = OP, we can set these two equations equal to each other:

[tex](a - 14)^2 + MP^2 = (a - 12)^2 + MP^2[/tex]

Simplifying and solving for a, we get:

[tex]a^2 - 28a + 197 = a^2 - 24a + 144[/tex]

[tex]4a = 53[/tex]

[tex]a = 13.25[/tex]

Therefore, the value of a is 13.25.

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Answer: J. A = 12 (4⋅6).

Step-by-step explanation:

Answer: J. A = 12 (4⋅6).

This equation can be used to find the area of the triangle in the diagram because it uses the formula for the area of a triangle, which is A = 1/2 * b * h, where b is the base and h is the height. Since the triangle in the diagram has a base of 4 and a height of 6, the equation A = 12 (4⋅6) can be used to find the area.

Answer:

The diagram is not provided, so it's difficult to determine the exact dimensions of the triangle and parallelogram. However, we can make some general observations to determine which equation can be used to find the area of the triangle.

First, we know that the area of a triangle is given by the formula:

A = 1/2 * base * height

We also know that the area of a parallelogram is given by the formula:

A = base * height

In the diagram, the triangle can be formed into a parallelogram by taking one of its sides and using it as the base of the parallelogram. The height of the parallelogram is the same as the height of the triangle.

Based on these observations, we can conclude that the equation that can be used to find the area of the triangle is:

A = 1/2 * base * height

where the base is one of the sides of the triangle, and the height is the height of the parallelogram (which is the same as the height of the triangle).

None of the answer choices provided match this equation, so the correct answer is not given.

Answer:

110° and 215°

Step-by-step explanation:

the bearing of one point to another is the measure of the clockwise angle from the north line N at the point C to the point D , that is

(a)

bearing of D from C is 110° ( purple shaded angle )

(b)

the bearing of D from C is 215° ( blue shaded angle )

The formula for the delta-loss operator and the delta-gamma loss operator if the risk factor changes are chosen to be the log returns of S is ΔΓL = (1/2) * CBS * (tn - ln(Sn/Sn-1))².

The delta-loss operator is given by the formula: ΔL = CBS * (tn - Sn). This represents the change in loss for a given change in the underlying risk factor, S.

The delta-gamma loss operator is given by the formula: ΔΓL = (1/2) * CBS * (tn - Sn)²s represents the change in loss for a given change in the underlying risk factor, S, and also takes into account the curvature of the loss function.

To find the formula for the delta-loss operator and the delta-gamma loss operator if the risk factor changes are chosen to be the log returns of S, we can simply substitute the log returns of S for the risk factor changes in the formulas above. The log returns of S are given by the formula: ln(Sn/Sn-1).

So, the formula for the delta-loss operator with log returns of S is: ΔL = CBS * (tn - ln(Sn/Sn-1)). And the formula for the delta-gamma loss operator with log returns of S is: ΔΓL = (1/2) * CBS * (tn - ln(Sn/Sn-1))².

In these formulas, the Greeks C, CBS, and CBS appear as parameters, as requested. These parameters represent the sensitivity of the option value to changes in the underlying risk factor, S.

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The correct domain for the function f(t)=(5)/(t^(2)+4) is {all reals}.

The domain of a function is the set of all possible inputs or values for the independent variable, t in this case. The function f(t)=(5)/(t^(2)+4) has a denominator of t^(2)+4. To find the domain, we need to determine the values of t that would make the denominator equal to zero, as those values would make the function undefined.

t^(2)+4=0
t^(2)=-4
t=±√(-4)

Since the square root of a negative number is not a real number, there are no real values of t that would make the denominator equal to zero. Therefore, the domain of the function is {all reals}.

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A $450 principal and a simple interest rate of 0.35% each quarter for 212 years would result in a savings account balance of $3768.

We can use the formula for simple interest to solve this problem:

Simple Interest = Principal x Rate x Time

where Rate is the interest rate as a decimal, and Time is the time in years.

The quarterly interest rate is 0.35% / 4 = 0.00875, and the time is 212 years, or 848 quarters.

Plugging in these values, we get:

Simple Interest = $450 x 0.00875 x 848 = $3318

Therefore, the balance of the savings account after 212 years would be:

Balance = Principal + Simple Interest = $450 + $3318 = $3768

Therefore, the balance of the savings account after 212 years with a simple interest rate of 0.35% each quarter and a principal of $450 would be $3768.

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To average a 90 on all three tests, you must score a 95 on the next test.

To find the score you need to average exactly a 90 on all three tests, you can use the formula for the mean (average) of a set of numbers:

Mean = (Sum of all numbers) / (Total number of numbers)

Let's call the score you need on the next test x. We can plug in the known values and solve for x:

90 = (81 + 94 + x) / 3

Multiply both sides by 3 to get rid of the fraction:

270 = 81 + 94 + x

Subtract 81 and 94 from both sides to isolate x:

95 = x

So, you need to score a 95 on the next test to average exactly a 90 on all three tests.

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