PLEASE HELP, 25 POINTS!!!!!
Show all work to multiply (3+sqrt(-16))(6-sqrt(-64))
(I've attached a picture of the equation for reference)

Answer:

-3^8

Step-by-step explanation:

do you mean (-3^2)^4?

so its becomes (-3)^2x4 = -3^8

Answer:

false

Step-by-step explanation:

False.

Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.

In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.

Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.

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If you want to avoid using the quotient rule, you can cancel the powers of x :

\(h(x) = \frac{2x ^{4} \cot(x) }{3 {x}^{2} } = \frac{2}{3} {x}^{2} \cot(x) \)

Then differentiate using the product rule.

\(h'(x)=\frac23\left(2x\cot(x)-x^2\csc^2(x)\right)\)

\(h'(x)=\frac43x\cot(x)-\frac23x^2\csc^2(x)\)

A boxplot is a visual display that provides information about the distribution of a dataset. When we want to determine the percentage of data that falls within a certain range, we need to look at the boxplot and find the interquartile range (IQR). The IQR is the difference between the first and third quartiles, which contains the middle 50% of the data. So, approximately 50% of the data lie between 4 and 8 hours.

A boxplot shows the median, quartiles, and possible outliers. To determine the percentage of data that falls between two values, we need to calculate the proportion of the IQR that corresponds to this range. For example, if the IQR is from 2 to 10, and we want to know the percentage of data between 4 and 8, we need to calculate the proportion of the IQR that corresponds to this range. This can be done by subtracting the lower value of the range from the upper value and dividing by the IQR:

Proportion = (8 - 4) / (10 - 2) = 4 / 8 = 0.5

Therefore, approximately 50% of the data lie between 4 and 8 hours. The answer is (C) about 50%.

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Answer:

Step-by-step explanation:

y = 10x + 100

y = 15x

15x = 10x + 100

5x = 100

x = 20 movies

Answer:

Step-by-step explanation:

From the observation deck of a skyscraper; Madison measures a 67 angle of depression to a ship in the harbor below. Ifthe observation deck is 1143 feet high; what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary

========================================================

Explanation:

The drawing is shown below.

Notice that 23 + 67 = 90, or you could say 90-67 = 23.

Use the tangent ratio to find x.

tan(angle) = opposite/adjacent

tan(23) = x/903

x = 903*tan(23)

x = 383.300759 approximately

x = 383.30

Using the elimination method, the solution to the system of equations is as follows:

x = 19 / 13  and y = - 74 / 13

System of equations can be solved using different methods such as the elimination method, substitution method, and graphical method.

Let's use the elimination method to solve the system of equations as follows:

The elimination method is the process of eliminating one of the variables in the system of equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.

Therefore,

4x - 7y = 10

3x + 2y = -7

multiply equation(ii) by 3.5

4x - 7y = 10

10.5x - 7y = 24.5

subtract equation(i) from equation(ii)

6.5x = 14.5

x = 14.5 / 6.5

x =  145 / 65

x = 19 / 13

Let's find y

3(19 / 13) + 2y = -7

57 / 13 + 2y = -7

2y = - 7 - 57 / 13

2y = -91 - 57  / 13

2y = - 148 / 13

cross multiply

26y = - 148

y = - 148 / 26

y = -  74 / 13

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Answer:

I believe it would be 192 milligrams.

Step-by-step explanation:

They said the amount of sodium is equal to the amount of ounces meaning it would be 6ounce:96milligrams. In this case, doubling 6 would be 12, resulting in doubling 96 as well. I'm not 100% sure, this problem contains an unnecessary amount of information for a simple concept.

12 ounces smoothies has 192 milligrams sodium

Given : 6 ounces smoothies have 96 milligrams of sodium

So, per ounce of smoothie consists 96 / 6 = 16 milligrams of sodium

To find : milligrams of sodium in 12 ounces of smoothies

According to sodium per unit smoothie, 12 ounces smoothie consist 12 x 16 = 192 milligrams sodium.

Also : Doubling 6 ounces smoothies to 12 ounces, we get 192 milligrams of sodium by doubling 96 milligrams.

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If the range on an X-bar-R chart suddenly and significantly increases, it indicates an increase in process variation. In this scenario, the mean (X-bar) may or may not be affected.

The mean represents the central tendency or average value of the process, while the range measures the dispersion or variation within the process.

If the mean remains stable and unaffected despite the increase in range, it suggests that the process average is still within control. However, if the range increase is accompanied by a significant shift in the mean, it indicates a potential shift in the process average.

To make a definitive determination, additional analysis and investigation are necessary to identify the underlying cause of the increased range and its impact on the process mean.

This could involve examining individual data points, performing hypothesis testing, or conducting further statistical analysis to assess the process stability and potential issues.

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The area of the shaded part is 33.04 \(cm^2\)

In the given figure the radius of the circle is not given so seeing the figure we are assuming the radius of the circle to be 6 cm.

We need to find the area of the circle and then subtract the area of the non-shaded part to get the area of the shaded part.

To find the area of the circle we know the formula:

Area of the circle = \(\pi r^2\)

here we know that the radius is 6 cm and pi holds the value of 3.14.

Substituting the values in the formula we get

area = 3.14 * 6 * 6

area= 113.04 \(cm^2\).

Now we need to find the area covered by the non-shaded structure we can see the structure consists of a rectangle of length 4 cm and width 12cm and two squares with sides 4cm. We can add the area of all of them to get the area of the non-shaded part.

Area of the rectangle = 4*12= 48

Area of one the squares = 4*4 = 16

Area of both the squares = 2*16= 32

The total area covered by non-shaded part = 48+32=80 \(cm^2\)

Now the area of the shaded part = 113.04 - 80 = 33.04 \(cm^2\).

Therefore, the area of the shaded part is 33.04 \(cm^2\)

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There is no exact measure of θ that satisfies the condition cos(θ) = 3√2 in the first quadrant.

Given that the terminal side of angle θ is in the first quadrant and cos(θ) = 3√2, we can determine the exact measure of θ by using the inverse cosine function, also known as arccosine.

Since cos(θ) = adjacent/hypotenuse, we can set up a right triangle in the first quadrant with the adjacent side as 3√2 and the hypotenuse as 1. The opposite side of the triangle can be found using the Pythagorean theorem.

Let's calculate the length of the opposite side:

opposite^2 + adjacent^2 = hypotenuse^2

opposite^2 + (3√2)^2 = 1^2

opposite^2 + 18 = 1

opposite^2 = 1 - 18

opposite^2 = -17

Since the length of a side cannot be negative, we see that there is no real solution for the length of the opposite side. Therefore, the given cosine value of 3√2 does not correspond to an angle in the first quadrant.

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We have to determine the measure of a to the nearest degree, if y/z = 0.7 and two right triangles are given. We can use the trigonometric ratio in order to find the measure of a.

The correct option is (A)

Given that the y/z = 0.7, it means that the measure of the opposite side of the first triangle to the angle a, divided by the hypotenuse of the first triangle is equal to 0.7. By applying the trigonometric ratio on the first triangle, we have : sin a = y/z = 0.7 ……..(1) The second triangle is also a right triangle and the measure of angle b is 90 degrees.

So, the measure of angle a + angle c = 90 degrees. Therefore, the measure of angle c = 90 - a degrees. By applying the trigonometric ratio on the second triangle, we have:

tan c = 4/b ……..(2) tan c can be represented as follows :

tan c = tan (90 - a)

= cot a We have:

b = z/yb

= 1/0.7b

= 1.43 Substituting the value of b and tan c in equation (2), we have:

cot a = 4/1.43

cot a = 2.797

a = cot⁻¹2.797

a = 31.40 degrees (approximately)Therefore, the measure of a to the nearest degree is 31 degrees. Hence, the correct option is (A):We can also use other trigonometric ratios such as cos or sec to find the measure of a.

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Answer:

ok

Princess_Anyla/nka8iza0q6lm8dm1

Step-by-step explanation:

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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Answer:

12 cups are less than 4 liters

Answer:

4 litres is greater.

A litre is worth about 4.23 cups. This means 4 liters is worth around 16.9 cups, whereas cups are worth 2.83 litres.

Answer:

D) 4/25

But didn't he have to buy at least the whole 25 KG bag?

Step-by-step explanation:

Answer:

18 m

Step-by-step explanation:

If all the sides are equal, that means all the sides are equal to 6.

6 + 6 + 6 = 18

Answer:

Step-by-step explanation:

The measure of the missing angles are:

b = 51° vertical angle

c= 129°    180°-51°= 129°

The corollary states that for every positive real number ε, there exists a positive integer n such that

The corollary of the Archimedean principle states that for any positive real number ε, there exists a positive integer n such that ε is greater than the reciprocal of n, i.e., ε > 1/n. In other words, there exists a positive integer n such that the fraction 1/n is smaller than any given positive real number ε.

To prove this corollary, we can assume that ε is a positive real number. By the Archimedean principle, there exists a positive integer m such that m > ε. Now, consider the positive integer n = ⌈1/ε⌉ + 1, where ⌈x⌉ denotes the ceiling function, rounding up x to the nearest integer.

We have:

1/ε < 1/(⌈1/ε⌉ + 1) ≤ 1/(1/ε) = ε.

Therefore, we can conclude that for any positive real number ε, there exists a positive integer n = ⌈1/ε⌉ + 1 such that ε > 1/n.

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The first left endpoint of any partition of an interval [a, b] is the value of 'a'.

An interval [a, b] represents a range of real numbers between the values of 'a' and 'b', including both endpoints.

The left endpoint, 'a', is the smaller value of the two, and the right endpoint, 'b', is the larger value.

Now, let's consider the concept of partitioning an interval.

Partitioning an interval means dividing it into smaller subintervals.

In this context, typically refer to a partition as a set of points that divides the interval into subintervals.

For example, let's consider the interval [a, b] and a partition P = {x₁, x₂, x₃, ..., xₙ}.

This partition divides the interval into subintervals [a, x₁], [x₁, x₂], [x₂, x₃], ..., [xₙ₋₁, xₙ], [xₙ, b].

Each subinterval represents a smaller range within the larger interval.

Now, coming to the first left endpoint of any partition, it refers to the leftmost point of the first subinterval in the partition.

Since the interval [a, b] includes the left endpoint 'a', the first left endpoint of any partition will always be the value of 'a'.

Therefore, the first left endpoint of an interval [a, b] for any partition is the value 'a', as it represents leftmost point of first subinterval in partition.

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The distance between the given points P(-7,8) and J(-3,1) is √65 = 8.06225775

Given that, The points are P=(-7,8) and J = (-3,1).

A coordinate plane is a surface formed by two dimensional lines .

The distance between the points is calculated using the distance formula that is, distance between A(x1,y1) and B(x2,y2) is,

√[(x2-x1)²+(y2-y1)²], by using this formula you can find the distance between any two points on the plane.

Therefore the distance between the given points P and J is ,

  PJ = √[(-3+7)²+(1-8)²]

       = √[(4)²+(-7)²]

       = √[(16) + (49)]

       = √[16+49]

       = √[65]

       = 8.06225775

PJ = 8.06225775

Therefore the distance between the given points P(-7,8) and J(-3,1) is 8.06225775

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In rectangle WXYZ, the length of each diagonal are 40.97 units and 39.98 units.

To find the lengths of the diagonals of rectangle WXYZ, we can use the Pythagorean theorem.

The diagonal WX is the hypotenuse of right triangle WXY, so we have:

WX^2 = WY^2 + XY^2

Similarly, the diagonal YZ is the hypotenuse of right triangle XYZ, so we have:

YZ^2 = XY^2 + XZ^2

Substituting the given values for WY and XZ, and x = 2, we get:

WY = 24(2) - 8 = 40

XZ = -18(2) + 13 = -23

Plugging these values into the equations above and simplifying, we get:

WX^2 = 40^2 + XY^2

YZ^2 = XY^2 + (-23)^2

Since XY is a common side of both triangles, we can solve for it by setting the two expressions for XY^2 equal to each other:

40^2 + XY^2 = XY^2 + (-23)^2

Simplifying, we get:

40^2 + 23^2 = 2XY^2

XY^2 = (40^2 + 23^2) / 2 = 1039

Substituting this value for XY^2 in the equations for WX^2 and YZ^2, we get:

WX^2 = 40^2 + 1039 = 1679

YZ^2 = 1039 + (-23)^2 = 1598

Taking the square roots, we get:

WX = sqrt(1679) ≈ 40.97

YZ = sqrt(1598) ≈ 39.98

Therefore, the length of each diagonal of Rectangle are approximately 40.97 units and 39.98 units.

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_____The given question is incomplete, the complete question is given below:

Find the lengths of the diagonals of rectangle WXYZ.

WY = 24x-8

XZ = -18x+13

x= 2

The length of each diagonal is ___ units.

Answer:

2H + O -------> H2O

and hydrogen react with oxygen so it is oxide of hydrogen

like iron react with Oxygen and give

iron oxide

Answer:

-7x19 and that how u get ur answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

10|5x-25|-50 = 500

|5x-25|=55

5x-25 = +-55

soo we have 2 possible answers:

5x = 80

x = 16

and

5x = -30

x = 6

The Answers in your thing are flawed. But if I were to guess, I would pick C

Answer: A

Step-by-step explanation:

72/9 simplified is 8/1

you can check by dividing by the Greatest Common Factor which

happens to be the denominator in this situation.

Answer:

A. 8/1

Step-by-step explanation:

72/9= 9*8/9*1= 8/1

Option A

The velocity of the baseball at 3.1 seconds into the flight is 7.84m/s.

What is velocity?

Velocity simply implies the speed and the direction at which an object is moving.

Since Harold throws a baseball up at 24.3m/s and he takes a photo at 3.1 seconds into the flight.

The velocity of the baseball will be:

Velocity = Distance / time

Velocity = 24.3 / 3.1

Velocity = 7.84 m/s

The velocity is 7.84 m/s.

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The baseball's speed is 7.84 m/s at 3.1 seconds into its flight.

What is velocity?

Simple definition: Velocity denotes the movement of an object's speed and direction.

Since Harold launches a baseball at a speed of 24.3 meters per second and snaps a picture 3.1 seconds into the flight.

The velocity of the baseball will be:

Velocity = Distance / time

Velocity = 24.3 / 3.1

Velocity = 7.84 m/s

The velocity is 7.84 m/s.

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The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26

Linear equations are equations that have constant average rates of change, slope or gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6 * (2/3x + 5/2y = 15)

This gives

4x + 15y = 90

Subtract the equation 4x + 15y = 90 from 4x + 15y = 12

4x - 4x + 15y - 15y = 12 - 90

Evaluate the difference

0 + 0 = -78

Evaluate the sum

0 = -78

The above equation is the same equation as option (b) 0 = 26

This is so because they both represent that the system of equations have no solution

Hence, the equation that could represent a linear combination of the system is 0 = 26

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Complete question

The system of equations below has no solution.

2/3x + 5/2y = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

Answer:

measure of angle EFG = 139°

measure of angle IFH = 49°

Since angles DEF and EFG are supplementary:

\(2x + 3 + 6x + 25 = 180\)

\(8x + 28 = 180\)

\(8x = 152\)

\(x = 19\)

So the measure of angle EFG is

6(19) + 25 = 114 + 25 = 139 degrees, and the measure of angle DFE is 41 degrees.

Angles DFE and GFH are vertical, so angle GFH measures 41 degrees.

Angles GFH and IFH are complementary, so angle IFH measures 49 degrees.

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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