Consider the following graph:

Answer:

15-6 = L

Step-by-step explanation:

2 + 4 = 6

Together, Polly and Molly have written 6 letters so to find out how many they have left to write we subtract 6 from 15 which will give you your answer (L).

I hope this helps and makes sense :)

the minimum average cost is not applicable, and we cannot determine the number of units produced at this cost based on the given total cost function.

To find the minimum average cost and the number of units produced at this cost, we need to analyze the given total cost function:

C(x) = 0.3(0.01x + 126)

a) To find the minimum average cost, we need to calculate the derivative of the total cost function with respect to x and find the value of x that makes the derivative equal to zero.

Let's calculate the derivative of C(x) with respect to x:

C'(x) = 0.3 * 0.01

= 0.003

Since the derivative is a constant value (0.003), it means that the cost function is linear, and there is no minimum or maximum average cost. The average cost remains constant regardless of the number of units produced.

b) As there is no minimum average cost in this case, we cannot determine the specific number of units produced at this cost.

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Answer:

Circumference.

Step-by-step explanation:

The distance around a circle is its circumference.

The distance around a circular region is known as its CIRCUMFERENCE.

The requirement f(x1) * f(x2) < 0 for choosing initial guesses x1 and x2 with opposite signs ensures the validity and convergence of certain numerical root-finding methods such as the bisection method or the regula falsi method.

The statement you provided is true for certain numerical methods used to find roots of equations, such as the bisection method or the regula falsi method. These methods are iterative and require an initial interval or range where the root is expected to be found. To ensure convergence and a valid solution, it is necessary to choose initial guesses x1 and x2 such that the function f(x) evaluated at those points have opposite signs, i.e., f(x1) * f(x2) < 0.

The rationale behind this requirement is based on the Intermediate Value Theorem, which states that if a continuous function f(x) changes sign over an interval [x1, x2], then there exists at least one root within that interval. By ensuring that f(x1) and f(x2) have opposite signs, we guarantee the existence of a root within the interval [x1, x2].

The bisection method works by repeatedly bisecting the interval and selecting a new subinterval that contains the root. At each iteration, the method narrows down the interval by halving it, based on the sign change observed in the function evaluations.

Similarly, the regula falsi (or false position) method also operates by iteratively refining the interval based on the linear interpolation between the function values at the endpoints. The method adjusts the interval based on the sign change of the function, converging to the root.

Both methods rely on the property of opposite signs to guarantee convergence and avoid getting stuck in a non-converging or incorrect solution. If the initial guesses do not satisfy the condition f(x1) * f(x2) < 0, it is possible that the method fails to converge or converges to a different root or solution.

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Answer:

Step-by-step explanation:

First problem:  3x + 8 ≥ y  

Second problem:  Represent the number of cupcakes with n and that of balloons by m.  Then ($2/cupcake)(n) + ($1.25/balloon)(m) ≥ $25

In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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Answer:

1.a 0.10

b 0.10

2. 1696.013

1696.0120

Step-by-step explanation:

The answer is 6/7........

Answer:

\(\frac{6}{7}\)

Step-by-step explanation:

cross multiply

2 x 3 = 6

7 x 1 = 7

Answer:

32 x 2
---------- = 16
.....4


To start off we can do 32 x 2.
32 x 2 = 64


Next, we divide 64 by 4 to equal the fraction 32 x 2 / 4.
64 divided by 4 = 16


In conclusion the fraction 32 x 2 / 4 is equal to 16.

Step-by-step explanation:

Have a great rest of your day
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Answer: hii

Step-by-step explanation:

the simplified expression is -40p²q⁹r⁸, which is the law of exponent for this expression.

A mathematical symbol known as an exponent shows how many times a quantity has been multiplied by itself. It is usually denoted by a superscript to the right of a number or a variable, and represents the power to which that number or variable is raised.

To simplify this expression using the laws of exponents, we can use the following rules:

Product rule: a to the power m × aⁿ = a to the power (m+ n)

Quotient rule: a to the power m ÷ aⁿ= a to the power (m-n)

Power rule: (a to the power m)ⁿ= a to the power (mⁿ)

Given expression

-10p²q⁸r⁵·4qp⁰r³

First, let's simplify the first term using the product rule:

-10p²q⁸r⁵= -1 ×2× 5× p²× q⁸× r⁵

Next, let's simplify the second term using the product and quotient rules:

4qp⁰r³=   2 × 2 × q × p⁰× r³

Using the product rule, we can simplify the expression further:

-1 ×2× 5× p²× q⁸× r⁵× 2 × 2 × q × p⁰× r³=-40p²q⁹r⁸

Therefore, the simplified expression is -40p²q⁹r⁸, which is the law of exponent for this expression.

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Answer:

h = 26

Step-by-step explanation:

45 = h + 19

45-19 = h

26 = h

Answer:

h = 26

Subtract 19 from the other side you get 26 so h = 26

Also if you want to check, 19+26=45  45=45

Have a Beautiful day!

Answer:

(x,y) -> (x-2, y+1)

Step-by-step explanation:

From a point count the rise/run to the new point

Answer:

66 inches

Step-by-step explanation:

v² = 55² + 26² - 2(55)(26) · cos 103°

v² = 3025 + 676 - [2860 · cos 103°]

v² = 3701 - (-643.4)

v² = 4344.4

v = \(\sqrt{4344.4}\) ≈ 66

The probability of a pregnancy lasting more than 300 days can be found using the Standard Normal Table. the probability of a pregnancy lasting more than 300 days is approximately 0.9834.

The formula for the z-score is (X - μ) / σ, where X is the value of interest, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z = (300 - 268) / 15 = 32 / 15 ≈ 2.1333

Next, we consult the Standard Normal Table to find the area under the standard normal curve to the right of z = 2.1333.

After examining the table, we find that the closest value to 2.1333 is 2.13, and the corresponding area is 0.9834.

Therefore, the probability of a pregnancy lasting more than 300 days is approximately 0.9834.

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Answer:

The answer is y = 5x - 2

Step-by-step explanation:

Distribute 5 through the parentheses:

y - 3 = 5x - 5

Move the constant to the right-hand side and change its sign:

y = 5x - 5 + 3

Calculate the sum:

y = 5x - 2

To find the value of w that satisfies the equation 2u v - 3w = 0, where u = (-6, 0, 0, 2) and v = (-3, 5, 1, 0), we can substitute the given values into the equation and solve for w.

Substituting the given values of u and v into the equation 2u v - 3w = 0, we have:

2(-6, 0, 0, 2)(-3, 5, 1, 0) - 3w = 0.

Expanding the scalar multiplication and performing the dot product, we get:

(-12, 0, 0, 4)(-3, 5, 1, 0) - 3w = 0,

(36 + 0 + 0 + 0) - 3w = 0,

36 - 3w = 0.

Simplifying the equation, we have:

36 = 3w,

w = 12.

Therefore, the value of w that satisfies the equation is 12. By substituting w = 12 into the equation 2u v - 3w = 0, we get:

2(-6, 0, 0, 2)(-3, 5, 1, 0) - 3(12) = 0,

(-12, 0, 0, 4)(-3, 5, 1, 0) - 36 = 0,

36 - 36 = 0,

0 = 0.

Hence, the value of w = 12 makes the equation true, satisfying the given condition.

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The probability that we did not see all three colors is \($\frac{13}{16}\)

Consider the event,

A: Did not see all 3 colors

Complement of the event A is A’ where

A' : All colors were seen

Since 3 balls are drawn and all colors should be seen, it implies that there is 1 ball of each color

It is required to find P(A) = P(did not see all colors)

By the probability rule for complement:

P(A)  =1-P(A')

P(A') & =P(all colors were seen )

=P(1 White AND 1 Green AND 1 Red )

Total number of balls = 4

Number of combinations of 3 balls possible = 64

Since drawing a ball is with replacement, we have the following number of combinations with each color represented where R1 and R2 are the two red balls.

The table attached at end of the solution

Total number of combinations with each color represented = 12

Thus the probability of A’ is:

\($P\left(A^{\prime}\right) & =\frac{12}{64} \\\)

\($P(A) & =1-\frac{12}{64} \\\)

\($=\frac{52}{64} \\\)

\($=\frac{13}{16}\)

Hence, the required probability P(did not see all 3 colors) is \($\frac{13}{16}$\)

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The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer: C. 7.5%

Solve as decimal

0.5*0.15=0.075

Move two decimal points over

0.075 -> 7.5

Change back to percent

7.5%

The statement in part (a) is False. According to the definition of matrix multiplication, if A is an mxn matrix and B is an nxp matrix with columns b₁, ..., bp, then the product AB is an mxp matrix.

The entry in the i-th row and j-th column of AB is obtained by taking the dot product of the i-th row of A and the j-th column of B.

Therefore, the product AB cannot be represented simply as {\(a_1b_1 a_2b_2\)}, but rather as a matrix with appropriate entries based on the dot products.

The correct representation of AB will involve the dot products of the corresponding rows and columns, resulting in a 2x2 matrix.

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The possible names for the shape in the image are Parallelogram and Quadrilateral since it has two equal opposite sides which are parallel.

First we take a look of the properties of the likely names;

Properties of Parallelograms

Properties of Quadrilaterals

Properties of Rectangles

Properties of Rhombus

Properties of Trapezoids

From the properties, the shape is not a rectangle because each of the interior angle is not 90 degrees. It is not a Rhombus because all its sides are not equal. It is not a Trapezoid because only the bases are parallel to each each other.

Hence, the possible names for the shape in the image are Parallelogram and Quadrilateral since it has two equal opposite sides which are parallel.

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a) With 95% confidence the proportion of all smart phones that break before the warranty expires is between 0.0525 and 0.0635.

b) If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About 95 percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about 5 percent will not contain the true population proportion.

A smart phone manufacturer is interested in constructing a 95% confidence interval for the proportion of smart phones that break before the warranty expires. 95 of the 1666 randomly selected smart phones broke before the warranty expired.To calculate the confidence interval for the proportion of smart phones that break before the warranty expires, we must first calculate the point estimate of the population proportion of smart phones that break before the warranty expires:95/1666 = 0.057 (rounded to three decimal places)Then, we have to find the margin of error that is, the maximum distance between the point estimate and the confidence interval limits.

We can do that with the help of the following formula:margin of error = critical value × standard errorThe critical value can be found in the z-table or t-table, depending on the sample size. Since we do not know the population standard deviation, we can use the t-distribution. The degrees of freedom are n − 1 = 1666 − 1 = 1665.Using the t-table with degrees of freedom 1665 and level of significance α = 0.05, the critical value is:t* = 1.96 (rounded to two decimal places)The standard error can be calculated using the following formula:standard error = √[(p-hat (1-p-hat))/n] = √[(0.057(1-0.057))/1666] ≈ 0.0083 (rounded to four decimal places)Finally, we can calculate the confidence interval using the following formula:confidence interval = point estimate ± margin of error confidence interval = 0.057 ± 1.96(0.0083) = (0.0525, 0.0635)The 95% confidence interval for the proportion of all smart phones that break before the warranty expires is between 0.0525 and 0.0635.

If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About 95 percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about 5 percent will not contain the true population proportion.

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Answer:

40% Hope I helped

Answer:

40%

Step-by-step explanation:

8 is 40% of 20

Answer:men

Step-by-step explanation: i cant

Answer:

mrfkgrglrbrtkhm

Step-by-step explanation:

The term which contains A⁶ in the given binomial expansion as required to be determined is; 17010A⁶B⁴.

It follows from the task content that the term which contains A⁶ in the binomial expansion is to be determined.

From binomial expansions; the term containing A⁶ in the expansion would be the fifth term and it's coefficient would be; ¹⁰C⁴ = 210.

Therefore, the term would be; 210 (A)⁶ (3B)⁴.

= 210A⁶ • 81B⁴

= 17010A⁶B⁴.

Ultimately, the term that contains A⁶ in the binomial expansion is; 17,010A⁶B⁴.

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Answer:

(d). \(\frac{152}{377}\)

Step-by-step explanation:

sin² β + cos² β = 1

cos (α + β) = cos α cos β - sin α sin β

cos α = √(1 - \(\frac{400}{841}\) ) = 21 / 29

cos β = 12 / 13

sin β = √(1 - \(\frac{144}{169}\) ) = 5 / 13

sin α = 20 / 29

cos (α + β) = \(\frac{21}{29}\) × \(\frac{12}{13}\) - \(\frac{20}{29}\) × \(\frac{5}{13}\) = \(\frac{152}{377}\)

The investigator is using stratified random sampling.

Stratified random sampling is a probability sampling technique in which the population is divided into sub-populations (called strata) according to one or more common characteristics. A random sample is then taken from each stratum, and the samples from all strata are combined to form the overall sample.

Formula:

Let S = Total population size

Let N = Sample size

Let N1, N2, N3, ..., Nn = Sample sizes from each stratum

Then, N1 + N2 + N3 + ... + Nn = N

Calculation:

In this case, the investigator is dividing the schools in the state into groups based on school district. Therefore, the total population size (S) is the total number of high schools in the state. The sample size (N) is the total number of high schools and students included in the survey. The sample sizes from each stratum (N1, N2, N3, ..., Nn) are the number of high schools and students randomly selected from each school district.

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Answer:

3/1 or 3

Step-by-step explanation:

It rises up three and to the side one

Answer: The slope is 3.