what's 0.943 as a percentage

Answer:

5

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

using the substitution u=5x−2, ∫x5x−2−−−−−√ⅆx is equivalent to  ∫u+2 /5 du/5

What is Derivative?

Calculus defines a derivative as the rate at which one quantity, y, changes in relation to another, x. The differential coefficient of y with respect to x is another name for it. Finding a function's derivative is the process of differentiation. A function's derivative is typically represented by d/dx (f(x)) (or df/dx (or Df(x) (or f')). Let's examine the technical definition of a derivative. Two points on a function f(x) curve are (x, f(x)) and ((x + h), f(x + h)), respectively. If so, [f(x + h) - f(x)]/(x + h - x) = [f(x + h) - f(x) / h] will be the slope of the secant line through these points. The second point overlaps the first point in the figure below when the distance between two points is nearly equal to 0 (i.e., as h approaches 0), and the secant line turns into the tangent line. Calculus refers to the slope of the tangent line as the function's derivative.

x = 1/y + 1

y + 1 = 1/x

y = 1/x - 1

differentiating y w.r.t to x

dy/dx=-1/x^2

using subsitution u= 5x-2

then x= u+2/5

∫u+2 /5 du/5

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From the options provided in the question, we may conclude that Option A is equivalent to 0.428571.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Step 1: Take the dividend's first digit from the left. Determine whether this digit is greater than or equal to the divisor.

Step 2: Next, divide it by the divisor and write the result as the quotient on top.

Step 3: Subtract the result from the digit and record the difference.

Step 4: Subtract the dividend's next digit (if present).

Step 5: Repeat the procedure.

We need to find the given option that is equal to 0.428571.

For option A,

42/99 =0.428571 = 0.42

Therefore, we can say that Option A is equal to 0.428571 from the options given in the question.

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Answer:

Step-by-step explanation:

The present value of Mark's prize, considering the $10,000 annual payments for 10 years and the subsequent $20,000 annual payments for 30 years, with an 8% discount rate, amounts to $171,391.44.

To calculate the present value of Mark's prize, we need to determine the current worth of the future cash flows he will receive. The $10,000 annual payments for 10 years can be considered an annuity, while the subsequent $20,000 annual payments for 30 years can be viewed as a perpetuity starting from the 11th year.

First, we calculate the present value of the annuity using the formula for the present value of an ordinary annuity:

PV_annuity = \(C * [1 - (1 + r)^(-n)] / r\),

where PV_annuity is the present value of the annuity, C is the annual cash flow, r is the discount rate, and n is the number of years. Plugging in the values, we have:

PV_annuity = $10,000\(* [1 - (1 + 0.08)^(-10)] / 0.08\) = $85,394.45.

Next, we calculate the present value of the perpetuity using the formula for the present value of a perpetuity:

PV_perpetuity = C / r,

where PV_perpetuity is the present value of the perpetuity. Plugging in the values, we have:

PV_perpetuity = $20,000 / 0.08 = $250,000.

Finally, we sum up the present values of the annuity and the perpetuity to obtain the total present value:

Total present value = PV_annuity + PV_perpetuity = $85,394.45 + $250,000 = $335,394.45.

Therefore, with an 8% discount rate, the present value of Mark's prize is $171,391.44.

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The rule for how many significant figures you are able to get using a measuring instrument is that the number of significant figures is equal to the number of digits that are certain plus one digit that is estimated.

For example, if you measure a length with a ruler that has marks every millimeter, then you can report the length to two significant figures, such as 3.5 cm. The 3 is certain because it is a whole number that is marked on the ruler. The 5 is estimated because it is the value between the 4 and 6 marks on the ruler.

* The number of significant figures in a measurement is determined by the least precise digit.

* The least precise digit is the digit that is estimated.

* The other digits in the measurement are certain.

* For example, in the measurement 3.5 cm, the least precise digit is the 5. This digit is estimated because it is the value between the 4 and 6 marks on the ruler. The 3 is certain because it is a whole number that is marked on the ruler.

* Therefore, the measurement has two significant figures.

It is important to report the correct number of significant figures in a measurement. This is because it is a way of communicating the uncertainty of the measurement. If you report too many significant figures, you are giving the impression that your measurement is more precise than it actually is. If you report too few significant figures, you are not giving enough information about the uncertainty of your measurement.

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Answer:

Here you go!

Step-by-step explanation:

Answer:

If circles A and B are congruent, then AC, CD, DB, and BA are all congruent since they are all radii. We then have:

ACDB is a rhombus.

ADB is an equilateral triangle.

CD is perpendicular to AB.

CD bisects AB.

Answer:

12 feet

Step-by-step explanation:

Use the Pythagorean Theorem.

5² + x² = 13²

25 + x² = 169

169 - 25 = 144

√144 = 12

12 feet

Answer:

f(x) = 40 × (1.3)ˣ

Step-by-step explanation:

4. The given parameters of the population of mountain goats are;

The initial number of mountain goats, a = 40

The rate at which their population will increase, r = 30% = 0.3 exponentially

The total population after 'x' years is given by f(x)

For exponential growth, we have;

f(x) = a·(1 + r)ˣ

Plugging in the values, we get;

f(x) = 40 × (1 + 0.3)ˣ = 40 × (1.3)ˣ

Answer:

uh either b or e

the others are slope-intercept

I hope this helps:)

- ♥

Answer:

240 trading cards

Step-by-step explanation:

20% of 1200 = .2 × 1200 = 240

A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is

Information from the problem

You have made 160 duct tape wallets to sell

If you sell 3 each day

From the information we can deduce that

assuming amount left is y and the number of days x the  we have

y = 160 - 3x

Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is  y = 160 - 3x

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Answer:

m<1 = 140

Step-by-step explanation:

m<1 = 140 because of alternate interior angles

Step-by-step explanation:

the max. value is when the smaller set (A) is completely contained in the larger set (B).

then n(A n B) is n(A) = 50.

the set intersection between A and B cannot get bigger than that. or A gets bigger ...

after all, the intersection means it is a set of all elements that exist in BOTH sets.

but then there must be other elements besides A and B in the universal set too, because n(universal set) = 96, and n(A u B) would be only 60.

the min. value could be the empty set or 0. but because n(universal set) = 96, and n(A) + n(B) = 110 and larger than 96, it means that there have to be some shared elements. at least 110 - 96 = 14 elements.

in this case there cannot be other elements in the universal set than A and B. and n(universal set) = n(AuB) = 96.

Answer:

55

Step-by-step explanation:

\( \frac{n(n + 1)}{2} \\ n = 10 \\ substitutig \\ \frac{10(10 + 1)}{2} \\ \\ \frac{10(11)}{2} \\ \\ \frac{110}{2} = 55 \)

When cattle with the red coat allele (r) and white coat allele (r') are crossed, the resulting offspring will have a roan coat color, representing an example of incomplete dominance.

In cattle, the allele for red coat color (r) exhibits incomplete dominance over the allele for white coat color (r'). In incomplete dominance, the heterozygous condition (rr') results in an intermediate phenotype that is different from both homozygous conditions.

When a red-coated individual (rr) is crossed with a white-coated individual (r'r'), the resulting offspring will have the genotype rr'. In terms of coat color, the offspring will exhibit a roan coat color, which is a mixture of red and white hairs. This is because neither the red allele (r) nor the white allele (r') is completely dominant over the other. Instead, they interact and blend to produce the roan phenotype.

In roan cattle, the red and white hairs are evenly interspersed, creating a mottled or speckled appearance. The extent of the roan phenotype may vary among individuals, with some displaying a more balanced mixture of red and white, while others may have a more dominant color.

It's important to note that incomplete dominance is different from complete dominance, where one allele completely masks the expression of the other. In the case of incomplete dominance, the heterozygous genotype results in an intermediate phenotype, showcasing a blending of traits.

In conclusion, the progeny of calves having the red coat gene (r) and white coat allele (r') will have a roan coat colour, illustrating an instance of incomplete dominance.

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The statement holds true for n = k + 1, and by induction it must be true for all n ≥ 1.This statement can be expressed mathematically as follows: ∑n = n(n+1)/2, for all n ≥ 1.

The statement that is stronger than what needs to be proven is that for all integers n ≥ 1, the sum of the first n natural numbers is equal to n(n+1)/2. This can be expressed in a form suitable for application of the principle of mathematical induction as follows: For n = 1, the statement holds true since 1 = 1(1+1)/2. Assume the statement is true for n = k, i.e.1 + 2 + 3 + ... + k = k(k+1)/2Now, consider n = k + 1.We have 1 + 2 + 3 + ... + k + (k + 1) = k(k+1)/2 + (k + 1) = (k + 1)(k + 2)/2Therefore, the statement holds true for n = k + 1, and by induction it must be true for all n ≥ 1.This statement can be expressed mathematically as follows: ∑n = n(n+1)/2, for all n ≥ 1.

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The magnitude of the resultant force can be found using the law of cosines, and it is approximately 692 pounds.

The direction of the resultant force can be found using the law of sines, and it is approximately 14.6° with respect to the positive x-axis

To find the magnitude of the resultant force, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of their magnitudes and the cosine of the included angle.

In this case, the two sides are the magnitudes of the given forces (300 pounds and 500 pounds), and the included angle is the angle between the forces.

Applying the law of cosines, we have: Resultant force^2 = 300^2 + 500^2 - 2 * 300 * 500 * cos(60° - (-45°))

Calculating this equation, we find that the resultant force^2 is approximately equal to 479,200 pounds^2. Taking the square root of this value, we get the magnitude of the resultant force, which is approximately 692 pounds.

To find the direction of the resultant force, we can use the law of sines. The law of sines states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, the sides are the magnitudes of the forces, and the opposite angles are the angles between the forces and the positive x-axis.

Applying the law of sines, we have: (sin θ) / 500 = (sin 60°) / Resultant force

Solving for θ, we find that sin θ is equal to (sin 60°) / (Resultant force / 500). Calculating this equation, we get sin θ is approximately 0.250.

Taking the inverse sine of this value, we find that θ is approximately 14.6°. Therefore, the direction of the resultant force is approximately 14.6° with respect to the positive x-axis.

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i am pretty sure the answer is:

= -20r + 20

The Romberg array is a table of values that is used to estimate the value of a definite integral. To compute the Romberg array, we use the Richardson extrapolation method, which is a process of successive approximation.

To compute the eight rows and columns of the Romberg array, we begin by splitting the integration interval into two equal-length subintervals. The trapezoidal method is then applied to each subinterval to produce two estimates of the integral. The Richardson extrapolation method is then used to get a better estimate of the integral based on these two estimations. This operation is continued, splitting the subintervals into smaller and smaller subintervals, until the Romberg array has the necessary number of rows and columns.

The Romberg array's general formula is as follows:

R(m,n) = (4^n R(m,n-1) - R(m-1,n-1)) / (4^n - 1)

where R(m,n) is the value of the integral estimate at row m and column n in the Romberg array.

The first column of the Romberg array contains the estimates obtained by the trapezoidal rule, while the subsequent columns are obtained by applying the Richardson extrapolation method using the values in the previous column.

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A factorization of the quadratic function 81x² - 36x + 4 is (9x - 2)².

First of all, we would rearrange the given quadratic function as follows;

4 - 36x + 81x²

81x² - 36x + 4

By using the sum-product pattern, we have the following:

81x² - 18x - 18x + 4

By writing the common factor from the two pairs, we have the following:

(81x² - 18x) + (-18x + 4)

9x(9x - 2) - 2(9x - 2)

By rewriting in factored form, we have the following:

(9x - 2)(9x - 2)

Lastly, we would combine to a square as follows;

81x² - 36x + 4 = (9x - 2)².

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Complete Question:

Factorize each of the following expressions completely.

(a) 4 - 36x + 81x²

Meta-analysis is a set of qualitative statistical techniques used to combine the results of multiple, independent research events to arrive at a summary statement about the data.

It is used to identify patterns across studies and to synthesize the results from different studies into a coherent and comprehensive interpretation of the research results. Meta-analysis is commonly used in medical research to identify treatments that are most effective, as well as in social sciences to determine the impact of a policy or program on a population.

Meta-analysis is also used to compare different theories and studies, to evaluate the strength of studies, and to identify any gaps in the existing research. By combining data from multiple studies, meta-analysis can provide a more robust and accurate summary of the effects of a particular intervention or program.

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Answer:

A(-3 , 3)  B(-4 , 7)  C(2 , 6)  D(3 , 2)

Step-by-step explanation:

Rotation of the parallelogram about the point P(4, 1), is done by taking

point P as the origin, and using relative coordinates for the rotation.

Reasons:

The given parameters are;

Vertices of the parallelogram ABCD are;

A(6, 8), B(10, 9), C(9, 3) and D(5, 2)

Point about the parallelogram is rotated = P(4, 1)

Angle of rotation = 90°

Direction of rotation = Counterclockwise

90° rotation counterclockwise of (x, y) about the origin gives → (-y, x)

Therefore, we have;

The given points relative to the point P are;

A'(6-4, 8 - 1) = A'(2, 7)

B'(10 - 4, 9 - 1) = B'(6, 8)

C'(9 - 4, 3 - 1) = C'(5, 2)

D'(5 - 4, 2 - 1) = D'(1, 1)

Therefore, we get;

A'(2, 7) \(\underrightarrow {R_{180^{\circ}}}\) A''(-7, 2)

B'(6, 8) \(\underrightarrow {R_{180^{\circ}}}\) B''(-8, 6)

C'(5, 2) \(\underrightarrow {R_{180^{\circ}}}\) C''(-2, 5)

D'(1, 1) \(\underrightarrow {R_{180^{\circ}}}\) D''(-1, 1)

Which then gives;

The image location are;

A(-7 + 4, 2 + 1) = A(-3, 3)

B''(-8 + 4, 6 + 1) = B(-4, 7)

C''(-2 + 4, 5 + 1) = C(2, 6)

D''(-1 + 4, 1 + 1) = D(3, 2)

Therefore, we have;

A(-3, 3), B(-4, 7), C(2, 6), and D(3, 2)

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Answer: 13

Step-by-step explanation: First you have to subtract the remaining amount of people from the total. 162-6=156. Then you have to divide the remaking amount, (people who went on) by the amount of people that can fit in a car to get how many cars are left. 156/12=13.

The measure of ∠Z1 is 135°. We used parallel lines and transversals to find the answer by recognizing that corresponding angles are equal and that adjacent angles on a straight line sum up to 180°.

In order to find the measure of ∠Z1, we will use the fact that line p is parallel to line q and the properties of parallel lines and transversals. Here's the step-by-step explanation:

1. Extend both lines between the parallel lines p and q, as suggested in the clue. This creates a transversal line intersecting both parallel lines.
2. Identify the given angles: 45° and 30°.
3. Since line p is parallel to line q, the corresponding angles are equal. So, the angle on line q that corresponds to the 45° angle on line p will also be 45°.
4. Now, ∠Z1 and the 45° angle on line q are adjacent angles and together they form a straight angle (180°) because they are on the same side of the transversal and between the parallel lines p and q.
5. To find the measure of ∠Z1, use the straight angle property: ∠Z1 + 45° = 180°.

Solving for ∠Z1, we get:
∠Z1 = 180° - 45° = 135°.

Therefore, the measure of ∠Z1 is 135°. We used parallel lines and transversals to find the answer by recognizing that corresponding angles are equal and that adjacent angles on a straight line sum up to 180°.

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