Absolute Value. Show work...pls.

Answer:

64; 68; 78

Step-by-step explanation:

The diameter of a circle is the radius of the circle times two.

hope I helped you! :)

Answer: w = 5

Step-by-step explanation:

Step 1: Take cube root.

w=(125) ^(1/3)

W = 5

Answer:

163.73

Step-by-step explanation:

Triangle area:

16x12 = 192cm²

Circle area:

pi(3²) = 28.27cm²

Difference in the area:

192-28.27 = 163.73cm²

Answer: The normal probability plot is a graphical technique for assessing whether or not a data set is approximately normally distributed. The data are plotted against a theoretical normal distribution in such a way that the points should form an approximate straight line.

Step-by-step explanation:

The sorted data are shown with an approximation to the means or medians of the associated order statistics to create the normal probability plot.

The normal probability plot is a graphical method for determining whether or not a data set is roughly normally distributed . The points in the data are displayed against a hypothetical normal distribution such that they should roughly form a straight line.

The sorted data are shown with an approximation to the means or medians of the associated order statistics to create the normal probability plot. It is applied to ascertain if a tiny amount of data is representative of a normal distribution.

A graphical method for locating significant deviations from normalcy is the normal probability plot. Outliers, skewness, kurtosis, the requirement for transformations, and mixes are some examples of this. The raw data, residuals from model fits, and estimated parameter values are used to create normal probability charts.

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Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

48/-12=-4

Answer:

✺ \( \large \tt \: E \: X\: P\: L\: A \: N \: A \: T \: I \: O\: N : \)

☃ \( \large{ \tt{GIVEN \: EQUATION}} : \)

\( \large{ \bf{↬y = 3x + 5}}\) [ Move 3x from left hand side to right hand side and change it's sign to addition since the opposite of subtraction is addition ]

\( \boxed{ \large \:⟿ \tt \:Slope \: (m) = \boxed{ \tt{3} }}\)

\( \boxed{ \large { \tt{⟿ \: Y - intercept \: (c \: ) = \boxed {\tt{ 5}}}}}\)

☏ And we're done! Yay , We found our answer !

♕ \( \large{ \tt{STUDY \: TIP}}\)

♡ Hope I helped! ✎

☄ Have a wonderful day / night ! ☂

#StayInAndExplore ! ♨

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

nopeeeeeeeeeee

Step-by-step explanation:

do you want an explanation?

Answer:

the answer is yes

Step-by-step explanation:

yea i hope this helps!

The correct ordering, assuming x is positive, is III: 2x < x² < 2 < 1/x²< 1.

Let's evaluate each option one by one:

I. x² < 2x < 1/x² < 2 < 1

If x is positive, x² will always be greater than 1/x². Therefore, this ordering is not possible.

II. x² < 1/x² < 2x < 1 < 2

Similarly, x² will always be greater than 1/x². Therefore, this ordering is also not possible.

III. 2x < x² < 2 < 1/x² < 1

For this ordering to be true, we need to confirm that 2x is indeed less than x². Since x is positive, we can divide both sides of the inequality by x to preserve the inequality direction. This gives us 2 < x. As long as x is greater than 2, this ordering holds true. Therefore, the correct ordering, assuming x is positive, is III: 2x < x² < 2 < 1/x²< 1.

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The values of a, b, c, and d, based on the given equation are:

\(a = 10\\b = 3\\c = -6\\d = -5\)

Let's calculate the values of a, b, c, and d based on the given table:

Using the equation \(y = x^2 - 4x - 2\), we can substitute the values of x and find the corresponding values of y:

For x = -3:

\(y = (-3)^2 - 4(-3) - 2 = 9 + 12 - 2 = 19\)

For x = -2:

\(y = (-2)^2 - 4(-2) - 2 = 4 + 8 - 2 = 10\)

For x = -1:

\(y = (-1)^2 - 4(-1) - 2 = 1 + 4 - 2 = 3\)

For x = 0:

\(y = (0)^2 - 4(0) - 2 = 0 - 0 - 2 = -2\)

For x = 1:

\(y = (1)^2 - 4(1) - 2 = 1 - 4 - 2 = -5\)

For x = 2:

\(y = (2)^2 - 4(2) - 2 = 4 - 8 - 2 = -6\)

For x = 3:

\(y = (3)^2 - 4(3) - 2 = 9 - 12 - 2 = -5\)

Now let's match these values with the table:

\(x , y = x^2 - 4x - 2\)

\(\[\begin{align*}(-3, 19) \\(-2, a) \\(-1, b) \\(0, -2) \\(1, -5) \\(2, c) \\(3, d) \\\end{align*}\]\)

From the given table, we have:

\(a = 10\\b = 3\\c = -6\\d = -5\)

Certainly! Here's a 100-word explanation of the given data:

The data provided consists of pairs of values, where the first column represents the x-values and the second column represents the y-values. Each row in the table corresponds to a data point. For instance, when x is \(-3\), the corresponding y-value is \(19\). Similarly, when x is \(-2\), the y-value is denoted as '\(a\)', and when \(x\) is -\(1\), the \(y\)-value is denoted as 'b'.

The pattern continues for the remaining data points, with specific values assigned to \(x \ and \ y\). This data set allows for the representation and analysis of relationships between the variables \(x \ and \ y\).

Therefore, the values of a, b, c, and d are:

\(a = 10\\b = 3\\c = -6\\d = -5\)

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Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)

Now we calculate the partial derivatives as follows,

∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...

and,

∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0

Therefore,

∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j

The curl of F is given by:

(cos(xy) - xy sin(xy)) i - sin(z)j.

To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:

r(t) = n* i + t}j + tcos atk, 15t52.

The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t

= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt

= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1

= sin(a) sin(n) - (a/2) cos(2a)

The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).

The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).

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The amount accumulated after investing a principal P for t years at an interest rate compounded annually is  $46,057.58.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.

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

where

p = 15,500

r = 9.5%

t = 12

n = 1

\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)

A = 15,500.00(1 + 0.095)¹²

A = $46,057.58

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$46,057.58, answer for acellus

Given the value of p and b in the equation ((  p-2b ) / 2 ), the value of m is 20.

Given that;

First, we substitute the value of p and b into the equation.

m = ( p-2b ) / 2

m = ( 57.4 - 2(8.7) ) / 2

m = ( 57.4 - 17.4 ) / 2

m = 40 / 2

m = 20

Given the value of p and b in the equation ((  p-2b ) / 2 ), the value of m is 20.

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Answer: The number line graph represent x\(\geq\)3

Step-by-step explanation:

What is a Line Graph?

A line graph, also known as a line chart or a line plot, is commonly drawn to show information that changes over time.

What is an inequality line graph?

Graphing inequalities is the process of showing what part of the number line contains values that will "satisfy" the given inequality. Examine the first inequality x > -5. A graph of this inequality will show what numbers may be used to replace x in our inequality to make a true statement.

The dot on the line graph represents from where a line graph starts and the arrow represents its traversing.

From the above example the dot starts form 3 and moves in forward direction.

So,we can say that number line graph represent x\(\geq\)3

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Answer:

linear

y = 2.75x

Step-by-step explanation:

Price: $2.75/lb

Let y = cost.

Let x = number of pounds.

equation:

y = 2.75x

Linear equation

This is a direct proportion, so it is a linear equation.

For equal changes in x, you get equal changes in y.

If you purchase a car for $20,000 and you finance it at 8% interest, the most you could expect to pay in interest for the first year is C. $1,600.

The finance charge, which includes the interest and other finance fees, is determined by multiplying the annual percentage rate (APR) and the credit amount.

The cost of the car = $20,000

Annual percentage rate = 8%

Interest for the first year = $1,600 ($20,000 x 8%)

Thus, you will not pay more than $1,600 in interest for the first year.

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13) The points A (9,0), B (9,6), C(-9,6), D(-9,0) are the vertices of

A) square ✓✓✓

B) rectangle

C) rhombus

D) trapezium.

۔

Answer:

x*(3x^2-7x-24)

Step-by-step explanation:

The time it takes for a P100,000 deposit to triple itself at a compound interest rate of 6.1% compounded weekly is approximately 6.12 years.

To find the time it takes for a P100,000 deposit to triple itself at a compound interest rate of 6.1% compounded weekly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (triple the initial deposit)

P = Principal amount (initial deposit)

r = Annual interest rate (6.1% or 0.061 as a decimal)

n = Number of times interest is compounded per year (weekly compounding means n = 52)

t = Time in years

In this case, we have:

A = 3P (triple the initial deposit)

P = P100,000

r = 0.061

n = 52

t = Time (unknown)

Substituting these values into the formula, we have:

3P = P(1 + r/n)^(nt)

Simplifying further, we get:

3 = (1 + 0.061/52)^(52t)

To isolate t, we can take the natural logarithm (ln) of both sides of the equation:

ln(3) = ln((1 + 0.061/52)^(52t))

Using the logarithmic property, we can bring down the exponent:

ln(3) = 52t * ln(1 + 0.061/52)

Now we can solve for t:

t = ln(3) / (52 * ln(1 + 0.061/52))

Using a calculator, the value of t comes out to approximately 6.12 years (rounded to two decimal places).

Therefore, the time it takes for a P100,000 deposit to triple itself at a compound interest rate of 6.1% compounded weekly is approximately 6.12 years.

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Answer:

135°

Step-by-step explanation:

Interior angle= (n-2)/n ×180°

n= no. of sides

so,

putting the value of n which is 8

(8-6)/8 × 180

=135°

The measure of each interior angle of the sign is 135 degrees.

The correct option is D.

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

In a regular octagon, all the interior angles are equal.

The formula to find the measure of each interior angle of a regular polygon with n sides is:

measure of each interior angle = (n-2) x 180 / n

For an octagon, n = 8, so we can substitute this value into the formula and simplify:

measure of each interior angle = (8-2) x 180 / 8

measure of each interior angle = 6 x 180 / 8

the measure of each interior angle = 135 degrees

Therefore, the measure of each interior angle = 135 degrees.

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Answer:

Step-by-step explanation:

For all Plato users

The amount of concrete needed after doubling the diameter of the circle will be multiplied by 4 by the initial amount. Hence, the correct option is (B).

Direct proportions are the proportions where a variable changes with another variable by direct mean so the coefficient of constant will be direct.

For example y ∝ x² here y varies with respect to x square.

y = Kx² where k will be the coefficient of constant.

Given that amount is Amount ∝ d²

Amount = k d²

By doubling the diameter

Amount = k (2d)²

Amount = 4 kd²

Amount = 4 × initial amount hence, the amount will be multiplied by 4.

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Answer: The simplified expression is:

cos2(33°) − sin2(33°) = cos^2(33°) - sin^2(33°) = 1/2 - 1/2 = 0.

Step-by-step explanation:

Using the identity cos(2θ) = cos^2(θ) - sin^2(θ)

we have: cos(2θ) = cos^2(θ) - sin^2(θ)

Rearranging the terms, we get: cos^2(θ) = (cos(2θ) + sin^2(θ))

Substituting θ = 33°

We have: cos^2(33°) = cos^2(2(16.5°) + sin^2(33°))

Now we can use the identity sin^2(θ) = 1 - cos^2(θ) to simplify further: cos^2(33°) = cos^2(2(16.5°) + (1 - cos^2(33°)))

Expanding the square and simplifying, we get: cos^2(33°) = 1/2

Finally, we can use the identity sin^2(θ) = 1 - cos^2(θ) to obtain

sin^2(33°): sin^2(33°) = 1 - cos^2(33°) = 1 - 1/2 = 1/2

Therefore, the simplified expression is:

cos2(33°) − sin2(33°) = cos^2(33°) - sin^2(33°) = 1/2 - 1/2 = 0.

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Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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When two tables have a one-to-many relationship, you typically need to add a foreign key to the table on the "many" side to link the records to the corresponding record in the "one" table.

In a one-to-many relationship, the table on the "one" side is usually the primary key table, and the table on the "many" side is usually the foreign key table. The foreign key is used to link the records in the "many" table to the corresponding record in the "one" table. This is done by adding a column to the "many" table that contains the primary key value from the "one" table.

When designing a database, it is important to establish relationships between tables to ensure data integrity and avoid redundant data. In a one-to-many relationship, one record in the primary key table can be associated with many records in the foreign key table. To establish a one-to-many relationship, you need to create a primary key in the "one" table and a foreign key in the "many" table. The foreign key is a column that contains the primary key value from the "one" table. For example, if you have a "customers" table and an "orders" table, the "customers" table would be the primary key table and the "orders" table would be the foreign key table. Each record in the "orders" table would have a foreign key column that contains the customer ID from the "customers" table.

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P(E1) + P(E2) - P(E1 ∩ E2) is the probability that at least one of the two events occurs in any trial of the experiment.

The correct answer is D. P(E1) + P(E2) - P(E1 ∩ E2).

The probability that at least one of two events occurs can be calculated using the principle of inclusion-exclusion.

The formula for this is:

P(E1 or E2) = P(E1) + P(E2) - P(E1 and E2)

Where:

P(E1) is the probability of event E1 occurring.

P(E2) is the probability of event E2 occurring.

P(E1 and E2) is the probability of both events E1 and E2 occurring simultaneously.

This formula represents the probability that at least one of the two events (E1 or E2) occurs in any trial of the experiment.

It's derived using the principle of inclusion-exclusion.

P(E1) represents the probability of event E1 occurring.

P(E2) represents the probability of event E2 occurring.

P(E1 ∩ E2) represents the probability of both events E1 and E2 occurring simultaneously.

By adding the probabilities of each individual event and then subtracting the probability of their intersection, you're accounting for the possibility of double-counting the intersection when adding the probabilities of the individual events.

So, the formula accurately captures the probability of at least one of the two events occurring.

Hence, P(E1) + P(E2) - P(E1 ∩ E2) is the probability that at least one of the two events occurs in any trial of the experiment.

The correct answer is D. P(E1) + P(E2) - P(E1 ∩ E2).

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complete question:

Two events, E1 and E2, are defined for a random experiment. What is the probability that at least one of the two events occurs in any trial of the experiment?

A.

P(E1) + P(E2) − 2P(E1 ∩ E2)

B.

P(E1) + P(E2) + P(E1 ∩ E2)

C.

P(E1) − P(E2) − P(E1 ∩ E2)

D.

P(E1) + P(E2) − P(E1 ∩ E2)

Answer:

mdf= 90 degrees

Step-by-step explanation:

Answer:

x = \(\frac{91}{6}\)

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of 1 chord is equal to the product of the parts of the other chord, that is

6x = 7 × 13 = 91 ( divide both sides by 6 )

x = \(\frac{91}{6}\)

Answer:

The third one because you just look at the x values of each dot. it isn't the fourth because domain does not include y values.