What is the value of k?
K=?

The formula for the intrest is,

Here, P is principal moner, r is rate percent and t is time in years.

Determine the intrest on $2000.

So intrest is equal to $30.

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

Explanation:

The unique digits are: 9, 6, 1

There are 1+3+3 = 7 digits with the repeats mentioned. If we could somehow tell the 6's apart and the 1's apart, then we'd have 7! = 7*6*5*4*3*2*1 = 5040 different permutations.

But because we can't tell the 6's apart, nor the 1's apart, this means we have to divide by (3!*3!). Each 3! represents the number of times the 6's show up and same goes for the 1's.

So (5040)/(3!*3!) = 5040/(6*6) = 5040/36 = 140 is the number of ways to rearrange the digits

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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Answer:

  y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}

Step-by-step explanation:

You want y = 1/2|x -6| +4 written as a piecewise function.

The absolute value function changes its definition when its argument is negative:

  y = |x|   ⇒   y = -x for x < 0, and y = x for x ≥ 0

This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.

The argument is negated in this domain, so we have ...

  y = -1/2(x -6) +4

  y = -1/2x +3 +4

  y = -1/2x +7

The absolute value function is an identity function in this domain:

  y = 1/2(x -6) +4

  y = 1/2x -3 +4

  y = 1/2x +1

Combining these descriptions into one, we have ...

  \(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)

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Answer:

look like the answer is 39

Step-by-step explanation:

Answer: your answer is y+b=39-dy 40=4=

80Step-by-step explanation:

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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Answer:

32

Step-by-step explanation:

Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.

The correct statement regarding the end behavior of the functions is given by:

As x→∞, f (x)→∞ and g(x)→0.

It is given by the limits of f(x) as x goes to infinity.

In this problem, the function f(x), the limits are given as follows:

For function g(x), the limit is given as follows, as it is not defined for negative values:

\(\lim_{x \rightarrow \infty} f(x) = 0\).

Hence the correct statement is:

As x→∞, f (x)→∞ and g(x)→0.

As it considers both positive infinity and negative infinity just as infinity.

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The range of each function given the domain is {4,0, 3}

Given the modulus of a function expressed as:

f(x) = |x|

If the domain of the function is given as D = {-4,0,-3}, the range will be expressed as;

if x = -4

f(-4) = |-4| = 4

If x = 0

f(0) = |0| = 0

If x = -3

f(-3) =|-3| = 3

Hence the range of each function given the domain is {4,0, 3}

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Answer:

Step-by-step explanation:

(5 + 3)/(4 - 2) = 8/2 = 4

The area of the figure is 225 ft²

From the figure shown, we have that it is made up of a triangle and a rectangle.

Now, the formula for calculating the area of a triangle is expressed as;

A = 1/2bh

Such that;

Substitute the values

Area = 1/2 × 10 × 15

Multiply the values

Area = 75 ft²

Area of the rectangle is;

Area = length × width

Area = 10(15)

Area = 150 ft²

Total area = 225 ft²

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The true statements are:

A circle is a closed, two-dimensional shape where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the middle.

To identify the true statements, we can first rewrite the given equation of the circle in standard form:

x² - 2x + y² = 8

Completing the square, we get:

(x - 1)² + y² = 9

Now we can identify the true statements:

Therefore, the true statements are:

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Answer:

P(X = 0) = 0.064

P(X = 1) = 0.288

P(X = 2) = 0.432

P(X = 3) = 0.216

Step-by-step explanation:

Given that the probability of a wafer passing the test = 0.6, hence the probability of a wafer failing the test = 1 - 0.6 = 0.4.

Let X be the number of wafers that pass the test, since they are 3 wafers, hence X = 0, 1, 2, 3

Probability that all the three wafers failed the test = P(X = 0) = 0.4 × 0.4 × 0.4 = 0.064

Probability that all one wafer passed the test = P(X = 1) = (0.6 × 0.4 × 0.4) + (0.4 × 0.6 × 0.4) + (0.4 × 0.4 × 0.6) = 0.288

Probability that two wafers passed the test = P(X = 2) = (0.6 × 0.6 × 0.4) + (0.4 × 0.6 × 0.6) + (0.6 × 0.4 × 0.6) = 0.432

Probability that all three wafers passed the test = P(X = 3) = (0.6 × 0.6 × 0.6) = 0.216

div( curl( grad f )) - scalar field; the divergence of a vector field is a scalar field

A quantity with both direction and magnitude, particularly when used to depict the distance between two points in space.

In a scalar field, each point in a space—possibly actual space—is assigned a single integer.

According to the given information

(a) You can only determine the curl of a vector field; curl f is meaningless.

(b) grad f - vector field; when you take a gradient of something , it results in a vector field

(c) div F - scalar field; take the divergence of a vector field, it results in a scalar field

(d) A vector field is produced by the operation curl(grad f) on a vector field.

(e) grad F - meaningless; gradients are only used for scalar fields

(f) grad( div F ) - vector field; the gradient of a scalar field is a vector field

(g) div( grad f ) - scalar field; if you take divergence of a vector field, the result is a scalar field

(h) Grad (div f) is useless; one cannot take a scalar field's divergence into account.

(i) vector field; a vector field is a vector field's curl (curl F).

(j) div(div F) is useless; it is impossible to calculate a scalar field's divergence.

(k) ( grad f ) x ( div F ) - meaningless; you cant cross a scalar field by a vector field !

(l) The divergence of a vector field is a scalar field, and its formula is div(curl(grad f))

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Hey there mate :)

Analysis :

\(401 = 515 - 114 = u - 6\)

And

\(173 = 515 - 3.114 = u - 36\)

\( = \frac{p(u - 36 < u < u + 36) - p(u - 6 < u < u + 6)}{2} \)

\( = \frac{99.73percent - 68.21percent}{2} \)

\( = \frac{31.46percent}{2} \)

\( = {15.73percent}\)

Then, calculating,

\(u - 26 = 515 - 2 \times 114 = 287\)

And

\(u + 26 = 515 + 2 \times 114 = 743\)

Then,

\(The \: Range = (287,743)\)

Final Answers :-

15.73 %

(287,743)

~Benjemin360

Answer:

The missing number is 20

Step-by-step explanation:

Given function: f(x) = 1/2x + 10

Rewrite: y = 1/2x + 10

Flip x and y: x = 1/2y + 10

x - 10 = 1/2y

2(x-10) = y

2x - 20 = y

y = 2x - 20

h(x) = 2x - 20

The area and perimeter of the parallelogram are: 56 square units and 30 units respectively

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The parameters that will help us do the math are

base = 7

height = 8

Area = 8*7 = 56 square units

perimeter 2b + 2h

perimeter = 2*7 + 2*8

= 14 +16

P = 30 units

Therefore, the perimeter of the parallelogram and area are 30 units and 56 square units

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Answer:

Step-by-step explanation:The parent function y = 0.5^x is decreasing across its domain because its base, b, is such that 0 < b < 1.

To graph the function f(x) = (0.5)^5 + 8, we can start by graphing the parent function y = (0.5)^x. We can plot a few points for the parent function:

| x | y |

|---|---|

| -2 | 4 |

| -1 | 2 |

| 0 | 1 |

| 1 | 0.5 |

| 2 | 0.25 |

Using these points, we can plot the parent function y = (0.5)^x, which looks like this:

Now, to graph the function f(x) = (0.5)^5 + 8, we can apply the translations to the parent function. The function adds 8 to the output of the parent function, so we can shift the parent function up 8 units to get the graph of f(x). The graph of f(x) is shown below in red, with the parent function in blue for comparison:

As we can see, the function f(x) shifts the parent function up 8 units. It does not shift the parent function horizontally by 5 units, as there is no horizontal translation in the function.

The function f(x) shifts the parent function 8 units upward, but does not shift it horizontally.

Answer:

D

\(y-5=3(x+1)\)

Step-by-step explanation:

We can see that the question is asking for the Point-Slope Form;

\(y-y_{1} =m(x-x_{1})\)

The points go into the equation for \(y_{1}\) and \(x_{1}\)

\(y-5=m[x-(-1)]\)

M would be the slope;

\(y-5=3[x-(-1)]\)

Which basically is:

\(y-5=3(x+1)\)

Answer:

2

Step-by-step explanation:

2/19=2:19

Answer:

x = 16 ft

Step-by-step explanation:

The area of a square is given by A = x^2, where x is the length of one of the sides.  Therefore, the side length is

x = √A

Here, x = √(256 ft²), or x = 16 ft

Answer:

orbit

Step-by-step explanation:

Answer:

yes it does

Step-by-step explanation:

the x numbers do not repeat

Yes, the given relation is function.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

set of ordered pairs= {(0,4),(2,6),(4,2), (6,2), (8,6)}

As, we know that the function has one input with corresponding one output.

So, we can see from the ordered pair that no input value have repeated and have respective output.

Hence, the relation is function.

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Using the regression model you predict the sales to be $ 250.38 on day 60.

A regression model is an equation used to ascertain the relationship between two variables.

Given that an electronics retailer used regression to find a simple model to predict sales growth in the first quarter of the new year (January through March). The model is good for 90 days, where x is the day.

The model can be written as follows:

ŷ = 103.38 + 2.45x

where ŷ is in thousands of dollars.

Since we require the sales gtowth after 0 days, substituting x = 60 into the equation for the regression model, we have that

ŷ = 103.38 + 2.45x

ŷ = 103.38 + 2.45(60)

ŷ = 103.38 + 2.45(60)

ŷ = 103.38 + 147

ŷ = 250.38

So, you predict the sales to be $ 250.38 on day 60.

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Answer:

its C

Step-by-step explanation:

The mean score of all of these students together, rounded to 1 decimal place is 84.3

What is the mean score in each case?

The mean score in each test taken is the total scores of all students that took the test divided by the number of students, in essence, the total score is determined as the mean score multiplied by number of students

total score for 57 students=87.1*57

total score for 57 students= 4,964.7

total score for 10 students=68.6*10

total score for 10 students=686.0

mean score of all of these students together=(4,964.7+686.0)/(57+10)

mean score of all of these students together= 84.3

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Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.