Write the sentence as an equation
q is the total of c and 367

Answer:

20 5/6 ft

Step-by-step explanation:

5 3/5 = 28/5

1 4/5 = 9/5

V = l * w * h

210 = l * 28/5 * 9/5

210 = l * 252/25

multiply both sides by 25/252

5250/25 = l

Reduce

20 5/6 = l

20 5/6 ft

The end behavior f(x) → ∞ as x → -∞ means that x-value is negative and y-value is positive. If this is the case, the other end part of the function is located in the 2nd quadrant.

The end behavior f(x) → -∞ as x → ∞ means that the x-value is positive and the y-value is negative. The other end part of the function is located in the 4th quadrant.

Looking at the choices, Option 1 and 4 exhibits these characteristics.

The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Here, we have

We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.

We concluded from the above statement that when the population standard deviation is much greater than 5.

Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.

Therefore, the correct option is D.

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Given the points (2, k) and (0, -6), and the distance is √5

The distance between two points is calculated by the formula:

Hence,

Therefore, the values of k would be -5 or -7 [option A is correct]

To add scientific notation with different exponents, you need to adjust the exponents so that they are equal. Once the exponents are aligned, you can add or subtract the corresponding coefficients.

First, identify the numbers in scientific notation that you want to add. Let's say you have two numbers, A and B, expressed in scientific notation as A x 10^n and B x 10^m, where n and m are the exponents.

To add these numbers, you need to adjust one of them so that the exponents are the same.

Choose the number with the smaller exponent and multiply both its coefficient and exponent by the appropriate power of 10 to match the exponent of the other number.

For example, if n < m, you would multiply number A by \(10^{m-n}\), which means multiplying the coefficient of A by \(10^{m-n}\) and keeping the exponent of 10 as n.

Once the exponents are aligned, you can add or subtract the coefficients of the adjusted numbers.

This will give you the final result in scientific notation.

It's important to note that if the exponents are significantly different, adjusting the exponents may involve multiplying or dividing by large powers of 10, which can affect the precision of the final result.

Therefore, it's advisable to retain the appropriate number of significant figures in your calculations.

In summary, to add scientific notation with different exponents, you adjust one of the numbers by multiplying its coefficient and exponent by an appropriate power of 10 to match the exponent of the other number.

Then, you can add or subtract the coefficients and express the result in scientific notation.

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Answer:

2:1

Step-by-step explanation:

.5 kg : 250g

the units must be same at both sides

500g : 250g

{as 1 kg = 1000g}

by simplifying both sides

10g : 5g

2g : 1g

2:1

At 32 cm^2/s rate the area of the square is increasing when the area of the square is 64 \(cm^{2}\)

As per given problem each side of a square is increasing at a rate of 2 cm/s. let side of square is x.so the area of it is A= \(x^{2}\).now differentiating w.r.t time A

\(\frac{dA}{dt}\)= 2x\(\frac{dx}{dt}\)

when A=64 \(cm^{2}\) x=8 cm

also given \(\frac{dx}{dt}\)=2cm/s

so \(\frac{dA}{dt}\)=2×2×8=32

So at 32 cm^2/s rate the area of the square is increasing when the area of the square is 64 \(cm^{2}\)

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Excision of

benign lesions

on chest, 0.4 cm, with simple closure(CPT CODE)CPT code is a five-digit numeric code that is used to describe medical, surgical, and diagnostic procedures.

The CPT code for the Excision of benign lesions on chest, 0.4 cm, with simple closure is 11400. The CPT code 11400 is used to report the removal of benign lesions or skin tags. It is a

surgical

procedure performed to remove a benign lesion, which is a tumor that is not

cancerous

.

The

excision

of benign lesions is performed for a variety of reasons, including cosmetic purposes, symptom relief, or to prevent the

lesion

from becoming cancerous. Excision of benign lesions on chest, 0.4 cm, with simple closure is a minor surgical procedure that can be performed in an outpatient setting.

The simple closure refers to the wound closure technique, where the edges of the incision are brought together and closed with sutures or staples. A simple closure is used when the wound is small and does not require extensive tissue

rearrangement

or grafting. The excision of benign lesions on the chest, 0.4 cm, with simple closure is performed to remove a benign lesion or tumor from the chest area that measures 0.4 cm in size.

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To accurately calculate the values of sinx, cosx, and tanx we use trigonometric functions.

To find sin(x), cos(x), and tan(x) in a right triangle with side lengths d, e, and f, we first need to identify which sides are opposite, adjacent, and hypotenuse relative to angle x. Let's assume that side d is opposite to angle x, side e is adjacent to angle x, and side f is the hypotenuse.
Now, we can use the definitions of the trigonometric functions:
1. sin(x) = opposite/hypotenuse = d/f
2. cos(x) = adjacent/hypotenuse = e/f
3. tan(x) = opposite/adjacent = d/e
These are the expressions for sin(x), cos(x), and tan(x) in terms of the given side lengths d, e, and f.

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Answer:

A. 0.008

I hope this helps!

Answer:

A. 0.008

Step-by-step explanation:

Product mean you multiply, so you multiply 0.04 and 0.2 and you get 0.008

0.04 x 0.2 = 0.008

Answer:

\(2x^3+x^2-8x-4=(2x+1)(x+2)(x-2)\)

Step-by-step explanation:

Let's collect \(x^2\) between the first two terms, and -4 between the last two:

\(2x^3+x^2-8x-4=x^2(2x+1) -4 (2x+1)\)

At this point you should see there is a common factor\(2x+1\)between both terms, then let's collect that:

\(2x^3+x^2-8x-4=x^2(2x+1) -4 (2x+1) = (2x+1)(x^2-4)\)

Final step is recognizing a difference of squares (x and 2) in the second bracket, to end up our work!

\(2x^3+x^2-8x-4=x^2(2x+1) -4 (2x+1) = (2x+1)(x^2-4) =(2x+1)(x+2)(x-2)\)

Step-by-step explanation:

\(f(x) = {2}^{3} + {x}^{2} - 8x - 4\)

\( {x}^{2} (2x + 1) - 2(2x + 1) = 0\)

\((2x + 1)( {x}^{2} - 2)\)

\(x = \frac{ - 1}{2} \\ x = \sqrt{2} \)

hope it's helpful

The cost of 1 liter for the small and medium cans is 4.4 and 2.4.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

As,  

Small can: A 200 ml can costs £0.88.

Medium can: A 500 ml can costs £1.32.

Large can: A 1 litre can costs £3.60.

Now, 200 ml = 0.2 l

500 ml = 0.5 l

For 0.2 l = 0.88

For 1 l= 0.88/0.2

For 1 liter = 4.4

For 0.5l medium can = 1.32

For 1 l medium can= 1.32/0.5

For 1 l medium can = 2.4

Hence, cost of 1 liter for the small can is £ 0.88 the cost of 1 liter for the medium can is £ 2.4.

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Answer:

-1±i

Step-by-step explanation:

Im assuming the question is asking what the roots of x^2+2x+4=2 are.

1. x^2+2x+4= 2 - subtract 2 on both sides to set the quadratic equation equal to zero.

2. x^2+2x+2 - now, since this equation cannot be factored the quadratic formula must be used: -b±\(\frac{\sqrt{b^{2}-4ac}}{2a}\) (standard form: ax^2+bx+c)

3.  -2±\(\sqrt{2^{2}-4(1)(2) }\)/2(1)= (-2±\(\sqrt{-4}\))/2

4. using complex numbers this can be rewritten as -1±i.

Answer:

 (2x - 5) • (x + 6)

The given figure and terms are used in this solution to determine the measure of 20 to the nearest degree:

In ANOP, the measure of P=90°, NO = 72 feet, and PN = 43 feet.

Find the measure of 20 to the nearest degree.

To solve the given problem, we'll use the Pythagorean theorem and trigonometric ratios.

Here's how we do it:

According to the Pythagorean Theorem, we know that OQ² = PQ² + OP²

Therefore, OQ² = 43² + 72²OQ² = 6409OQ = √6409OQ = 80.1

Therefore, the value of 20 can be calculated using the following formula:

tan 20° = PQ / OQ

PQ / OQ = tan 20°

PQ / 80.1 = tan 20°

PQ = 80.1 * tan 20°

PQ = 29.24 feet

Therefore, the value of the measure of 20 is 20°.

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Answer:

y < -1/4 x +1

Step-by-step explanation:

Find two points on the dotted line

( 0,1) and  (4,0)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = (0-1)/(4-0)

    = -1/4

The slope is -1/4

The y intercept is where it crosses the y axis  or 1

The equation of the line, using slope intercept form

y = mx+b

y = -1/4x +1

The line is dotted which means there is no equals, just greater than or less than.  It is shaded below which means less than

y < -1/4 x +1

Answer:

\(y<-\frac{1}{4}x+1\)

Step-by-step explanation:

First, let's find the equation of the line.

From the graph, we can pick out two points to use: (0,1) (the y-intercept) and (4,0) (the x-intercept).

Find the slope. Let (0,1) be x₁ and y₁ and let (4,0) be x₂ and y₂

Find the slope:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Substitute:

\(m=\frac{0-1}{4-0}\\m=-1/4\)

Use the slope-intercept form:

\(y=mx+b\)

Where m is the slope and b is the y-intercept.

We already know the slope is -1/4 and the y-intercept is 1. So, substitute:

\(y=-\frac{1}{4}x+1\)

Now, replace the equal sign with an inequality. Note that the line is dotted, so we won't use "or equal to." Also note that the blue, shaded area is below the line. Thus, we will use less than. Therefore:

\(y<-\frac{1}{4}x+1\)

The sentences:

First, we picked out two points from the graph. Next, we used those two points to find the slope. We used the slope and one of the points to write our slope-intercept equation. Afterwards, we can determine from the graph that since the shaded area is below the dotted line, the equation must have a less than.

Answer:

X,y=83/52 ,45/26

Step-by-step explanation:

just  look up your answer and you will find the step by step. Hopefully this helped :)

Step-by-step explanation:

\({ \tt{h(x) = {x}^{2} + 4x - 7 }}\)

Substitute for x as -2;

\({ \tt{h( - 2) = {( - 2)}^{2} + 4( - 2) - 7}} \\ \\ { \tt{h( - 2) = 4 - 8 - 7}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ { \tt{h( - 2) = - 11}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

Answer:-9

Step-by-step explanation:

h(-2)=h(x)

it symbolize that x=-2;

so, we'll replace every x with -2:

-2^2+3*(-2)-7=4-6-7=-9

Answer:

You can use the distance formula to find the slope. The distance formula is Y2-Y1/X2-X1. So, -16-(-8)/-8-(-10)=-8/2=-4. The slope of the line is -4.

:)

From the given graph, the overall interval of function is increasing = [0,2] U [4, 5] & the function is decreasing in interval [6.5, 9.5].

Graphs are used by mathematicians to logically express or chart facts or values visually. A graph point often depicts the connection between two or more things. The nodes, often referred to as vertices, and edges that make up a graph are non-linear data structures. Glue ought to be used to join the nodes, also known as vertices. In this graph, the vertex numbers are 1, 2, 3, and 5, whereas the edge numbers are 1, 2, 1, 3, 2, 4, and (2.5). (4.5). graphics that graphically represent exponential growth in statistical charts like bar graphs, pie charts, and line graphs. the logarithmic graph with a triangle shape.

A function's rising or falling trend can be identified using any interval in the derivative's domain. if at then f′(x) > 0

A function's rising or falling trend can be identified using any interval in the derivative's domain. The function is considered to be rising on I if f′(x) > 0 at any point within the interval I. If f′(x) 0 occurs at every point along an interval I, the function is said to be dropping along that interval.

For the given graph,

the function is increasing in interval [0,2]

the function is constant in interval [2,4]

then again increasing in interval [4, 5]

the function is constant in interval [5, 6.5]

the function is decreasing in interval [6.5, 9.5]

So, the overall interval of function is increasing = [0,2] U [4, 5]

the function is decreasing from [6.5, 9.5]

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Answer:

6

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

by using pythagorean theorem we know that the equal sides of the isosceles triangle are 5 units in length while the bottom side appears to be 6 units in length.

so we the perimeter is 16

Answer:

0<x<3

4<x<6

9<x<10

..........

Answer:

Hope it helps you

Step-by-step explanation:

Decreasing: A function is decreasing, if as x increases (reading from left to right), y decreases. In plain English, as you look at the graph, from left to right, the graph goes down-hill. The graph has a negative slope

So in given graph ,

Decreasing interval are ,

1)   9<x<10

2)  0<x<3

I done it using above definition you also check it from any other source and confirm it ..

To determine the best policy for Brennan Aircraft's plotter pen replacement, we can simulate the problem and compare the expected costs for both scenarios: replacing one pen or replacing all four pens each time a failure occurs.

Let's calculate the expected costs for each scenario:

Replacing one pen:

We'll calculate the expected cost per hour of plotter failure by multiplying the probability of each failure duration by the corresponding cost per hour, and then summing up the results.

Expected cost per hour = Σ(Probability * Cost per hour)

Expected cost per hour = (10 * 0.05 + 20 * 0.15 + 30 * 0.15 + 40 * 0.20 + 50 * 0.20 + 60 * 0.15 + 70 * 0.10) * $50

Expected cost per hour = $39.50

Replacing all four pens:

We'll calculate the expected cost per hour using the same method as above, but using the probability distribution for the scenario of replacing all four pens.

Expected cost per hour = (100 * 0.15 + 110 * 0.25 + 120 * 0.35 + 130 * 0.20 + 140 * 0.00) * $50

Expected cost per hour = $112.50

Comparing the expected costs, we can see that replacing one pen each time a failure occurs results in a lower expected cost per hour ($39.50) compared to replacing all four pens ($112.50). Therefore, the best policy for Brennan Aircraft would be to replace one pen each time a failure occurs.

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The perimeter of a rectangle is given by the formula:

Perimeter = 2 * (length + width)

In this case, the width of the rectangle is (9v - 5w) centimeters and the length is (9v + 6w) centimeters.

Substituting the values into the formula, we have:

Perimeter = 2 * ((9v - 5w) + (9v + 6w))

Simplifying the expression inside the parentheses:

Perimeter = 2 * (18v + w)

Distributing the 2 to both terms inside the parentheses:

Perimeter = 36v + 2w

Therefore, the expression that represents the perimeter of the rectangle in centimeters is 36v + 2w.

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. There are no other edges or lines connecting the nodes since the diagonal relation only holds for the self-loops.

To draw the Hasse diagram for the diagonal relation on the set S = {x, y, z}, we need to represent the elements of S as nodes and draw an upward-directed line between two nodes if and only if the diagonal relation holds between them.

In this case, the diagonal relation states that an element is related to itself. Therefore, each element in S will have a self-loop.

The Hasse diagram for the diagonal relation on S = {x, y, z} would look like this:

    x

   / \

  y   z

In this diagram, each element (x, y, and z) is represented as a node, and there is a self-loop on each node since each element is related to itself in the diagonal relation

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The probability outcome that cannot be considered a probability outcome is B. -0.6.

This is because probabilities cannot be negative. All other options can be considered as probabilities, as they fall within the range of 0 to 1, or 0% to 100%. Remember that in a probability experiment, the probability of an event occurring is always between 0 and 1, or 0% and 100%. A probability of 0 means that the event will not occur, while a probability of 1 or 100% means that the event will definitely occur. Any value outside of this range is not a valid probability.

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Answer:

A"= -5,2

B"= -6,-1

C"= -4,0

(I think these are right)

Answer:

A=(5,2)

B=(5,1)

C= (3,0)

Step-by-step explanation:

Explicit equation for each composite functions are:

a) f(g(x)) = -2x² + 3x + 2

b) g(f(x)) = 2x² - 7x + 6

c) f(f(x)) = x - 2

d) g(g(x)) = 2x^4 - 12x^3 + 21x² - 12x + 4

a) To find f(g(x)), we substitute g(x) into the function f(x). Given that f(x) = -x + 2 and g(x) = 2x² - 3x, we replace x in f(x) with g(x). Thus, f(g(x)) = -g(x) + 2 = - (2x² - 3x) + 2 = -2x² + 3x + 2.

The domain of f(g(x)) is the same as the domain of g(x), which is all real numbers. The range of f(g(x)) is also all real numbers.

b) To determine g(f(x)), we substitute f(x) into the function g(x). Given that

g(x) = 2x²- 3x and f(x) = -x + 2, we replace x in g(x) with f(x). Thus, g(f(x)) =

2(f(x))² - 3(f(x)) = 2(-x + 2)² - 3(-x + 2) = 2x² - 7x + 6.

The domain of g(f(x)) is the same as the domain of f(x), which is all real numbers. The range of g(f(x)) is also all real numbers.

c) For f(f(x)), we substitute f(x) into the function f(x). Given that f(x) = -x + 2, we replace x in f(x) with f(x). Thus, f(f(x)) = -f(x) + 2 = -(-x + 2) + 2 = x - 2.

The domain of f(f(x)) is the same as the domain of f(x), which is all real numbers. The range of f(f(x)) is also all real numbers.

d) To find g(g(x)), we substitute g(x) into the function g(x). Given that g(x) = 2x² - 3x, we replace x in g(x) with g(x). Thus, g(g(x)) = 2(g(x))² - 3(g(x)) = 2(2x² - 3x)² - 3(2x²- 3x) = 2x^4 - 12x^3 + 21x² - 12x + 4.

The domain of g(g(x)) is the same as the domain of g(x), which is all real numbers. The range of g(g(x)) is also all real numbers.

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