If it costs 0. 15 per square inch for the wood then what is the cost for design A and Design B

Answer:

These solutions are also called the x-intercepts and zeros of a function.

Step-by-step explanation:

Answer:

2727000

Step-by-step explanation:

You can calculate it orally.

If numbers are multiplied with 10 we get the same answer as the number but with a zero added at the end . For example 27*10= 270

But if we divide the number ending with a zero with a ten the answer is the same but the zero is removed e.g 1000/10= 100

Similarly you have the numbers

10(10100)*27=

Now breaking the bracket part

10 (1010) 10 *27

100 ( 101)10 *27

1000(2727)

=2727000

The y-intercept of the given exponential function would be represents the initial value of the investment is $500 which is the correct option (B).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

The given exponential function f(x) = 500(1.03)ˣ

Here x would be represented growth of the savings plan per year

To determine the y-intercept of the function

We have to substitute the value of x = 0 in the given function,

⇒ f(x) = 500(1.03)⁰

⇒ f(x) = 500(1)

⇒ f(x) = 500

Therefore, the y-intercept of the given exponential function would be represents the initial value of the investment is $500.

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The normal approximation to the chance that the sum of 70 draws with replacement from this box is no larger than probability 1702 is 99.83%

To calculate the normal approximation to the chance that the sum of 70 draws with replacement from this box is no larger than 1702,  use the Central Limit Theorem. The Central Limit Theorem states that the sum of a large number of independent and identically distributed random variables approximately normally distributed.

The sum of the draws is the result of adding up the numbers on the tickets. calculate the mean and standard deviation of the sum using the given numbers:

Mean (μ) = (11 + 20 + 20 + 22 + 23 + 24 + 29 + 29 + 30 + 33) / 10 = 22.1

Standard Deviation (σ) = √([∑(x - μ)²] / n) = √([(11 - 22.1)²+ (20 - 22.1)² + ... + (33 - 22.1)²] / 10) ≈ 6.28

Now, to calculate the normal approximation, to convert the given sum of 1702 to a z-score. The z-score formula is:

z = (x - μ) / σ

Plugging in the values,

z = (1702 - 70 × 22.1) / √(70 ×6.28²)

z ≈ (1702 - 1547) / √(2776.96)

z ≈ 155.8 / 52.69

z ≈ 2.96

Using a standard normal distribution table or a calculator,  find the probability associated with a z-score of 2.96. The probability is approximately 0.9983.

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.

Answer:

Range: {-4, 6, 26}

-2

Step-by-step explanation:

Domain is the x-values so all you have to do is plug in the domain numbers and see what y equals. I'll do an example:

y = 5(1) - 9

y = 5 - 9

y = -4

So the first one would be -4.

___________________________________________________

For the second question plug in 3 for the x-value.

y = 2(3) - 8

y = 6 - 8

y = -2

Hope that helps and have a great day!

Answer:

7.8025

Step-by-step explanation:

You get the circumfence formula 2 * pi * r

since you are looking for the radius divide 49/2 then the answer you get divide it by pi and then you have your radius

i hope this helped<33

[I'm using 22/7 as pi in this question, for the sake of convenience, since the value of pi to be used isn't given.]

Circumference = \(2\pi r\)

49 = 2 x \(\frac{22}{7}\) x r

r = 49 x \(\frac{7}{44}\)

r = approx. 7.8 yards

Answer:

A.   Undefined.

Step-by-step explanation:

There is no real square root of a negative number.

Answer: The answer is B) y < 0

Answer: B

Step-by-step explanation:

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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The correct option A. quasi-experimental design; used to show that the independent variable's effect can be reversed.

In that an independent variable is manipulated, quasi-experimental research is comparable to experimental research.

Thus, quasi-experimental design used to show that the independent variable's effect can be reversed.

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The correct question is-

One method used to demonstrate the reversibility of the effect of the independent variable is a(n):

A. quasi-experimental design.

B. interrupted time series design.

C. control series design.

D. ABA design.

The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

\(= \rm \dfrac{(g^3)(6^3)(p^7)}{(6)(g^2)(p^2)(p)}\)

After using the properties of integer exponent:

\(\rm =\dfrac{g^3\cdot \:6^2p^7}{g^2p^2p}\)

\(\rm =\dfrac{g\cdot \:6^2p^5}{p}\)

= g . 6² . p⁴

Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

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Answer:

I'd take the job... althou I am a kid so money is like worth a lot to me

Hope this helps

plz like and brainly :D

would help me

Answer:

Step-by-step explanation:

This is S(oh)C(ah)T(oa)

Since X is on the adjacent leg of the triangle, you want to use COSINE

The Cos(18)=x/25

Multiply cos(18) by 25, and you get 23.7764129074.

Answer:

COS(18)=x/25

COS(19)*25= 23.776

Answer:

1st, 3rd and 5th statements are true.

Step-by-step explanation:

We have been given a table that hows the number of cars sold each month for 5 months at two dealerships. We are asked to choose the correct statement from the given choices.

1. The mean number of cars sold in a month is the same at both dealerships.

Let us find mean sales for both dealerships.

We can see that mean number of cars sold at both dealerships, therefore, statement 1st is true.  

2. The median number of cars sold in a month is the same at both dealerships.

Let us arrange our given data set from least to greatest.

Median sales for Admiral autos: 4, 10, 15, 17, 19.

As our data set have 5 data points, therefore, the median will be the value of 3rd data point that is 15.

Median sales for Countywide Cars: 9, 10, 14, 15, 17.

As our data set have 5 data points, therefore, the median will be the value of 3rd data point that is 14.

Since the median number of cars sold at both dealerships is different, therefore, 2nd statement is false.

3. The total number of cars sold is the same at both dealerships.

We have already seen that both dealerships sold 65 cars, therefore, 3rd statement is true.

4. The range of the number of cars sold is the same for both dealerships.

Since the ranges of both dealerships are different, therefore, 4th statement is false.

5. The data for Admiral Autos shows greater variability.

Let us find standard deviation of both data sets.

Since SD for Admiral Autos is 6.04 and SD for Countywide Cars is 3.39, therefore, 5th statement is true indeed.

Hope this helps!

Answer:

1) The multiplicative inverse of \(8\) is \(\frac{1}{8}\).

2) The multiplicative inverse of \(8\cdot h - 40\) is \(\frac{1}{8\cdot h - 40}\).

Step-by-step explanation:

Mathematically, let \(w\) and \(v\) real numbers. \(w\) is the multiplicative inverse if and only if \(v\cdot w = 1\). Now we proceed to determine the multiplicative inverse of each number:

1) \(v = 8\)

(i) \(v\cdot w = 1\) Definition of multiplicative inverse

(ii) \(v = 8\) Given

(iii) \(8\cdot w = 1\) (ii) in (i)

(iv) \(w\cdot (8\cdot 8^{-1}) = 8^{-1}\cdot 1\) Compatibility with multiplication/Associative and commutative properties

(v) \(w = 8^{-1}\) Existence of multiplicative inverse/Modulative property

(vi) \(w = \frac{1}{8}\) Definition of division/Result

The multiplicative inverse of \(8\) is \(\frac{1}{8}\).

2) \(v = 8\cdot h - 40\)

(i) \(v\cdot w = 1\) Definition of multiplicative inverse

(ii) \(v = 8\cdot h - 40\) Given

(iii) \((8\cdot h - 40)\cdot w = 1\) (ii) in (i)

(iv) \(w\cdot [(8\cdot h - 40)\cdot (8\cdot h-40)^{-1}] = (8\cdot h - 40)^{-1}\cdot 1\) Compatibility with multiplication/Associative and commutative properties

(v) \(w = (8\cdot h-40)^{-1}\) Existence of multiplicative inverse/Modulative property

(vi) \(w = \frac{1}{8\cdot h-40}\) Definition of division/Result

The multiplicative inverse of \(8\cdot h - 40\) is \(\frac{1}{8\cdot h - 40}\).

Answer: $6

Step-by-step explanation:

3.50 + 1.50 = 5

5 + 1 = 6

Answer:

998, 1000, 1002

Step-by-step explanation:

Self explanatory, if you add the three numbers the sum is 3000.

The correct graph which represents the equation y = 1/2x - 1 is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 1/2x - 1

Now, After draw the equation we get;

Graph of a line passing through the points (-2, - 2) and (0, - 1).

Thus, The correct statement is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

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9. The given series converges conditionally.

10. The radius of convergence for the given power series is 3, and the interval of convergence is (-2, 4).

9. To determine the convergence of the series ∑\((4n(-1)^n)/(3n^2+ 2n+1)\), we can use the Alternating Series Test. The alternating series has the form ∑\((-1)^n b_n\) ,

where \(b_n = (4n)/(3n^2+ 2n+1)\).

For this series, we can observe that the terms alternate in sign and the absolute values of the terms approach zero as n approaches infinity. Additionally, the sequence {\(b_n\)} is decreasing. Therefore, the given series converges conditionally.

To find the radius of convergence and interval of convergence for the power series ∑\((1/(3^n)) * (x-1)^n\), we can use the Ratio Test. Applying the Ratio Test, we have:

\(\lim_{n \to \infty}\)⁡ \(|(1/(3^{(n+1)})) (x-1)^{(n+1)}|/|(1/(3^n)) (x-1)^n| = |(x-1)/3|\)

For the series to converge, the limit above must be less than 1. Therefore, |(x-1)/3| < 1, which implies |x-1| < 3. This condition defines the interval of convergence.

10. To find the radius of convergence, we consider the endpoints of the interval. The series diverges when x = -2 and x = 4. Therefore, the radius of convergence is the distance between the center of the power series (x = 1) and the nearest endpoint, which is 3.

In summary, the given power series has a radius of convergence of 3 and an interval of convergence of (-2, 4).

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False. Taxes and Social Security contributions are not deducted from a expressions person's total compensation and do not go to their employer.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

False. Taxes and Social Security contributions are not deducted from a person's total compensation and do not go to their employer. They are instead often paid to government agencies or other approved beneficiaries.

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Answer:

The theoretical probability of being dealt exactly two 2's in a 5-card hand from a standard 52-card deck is:

\(= \dfrac{2162}{32487}\\\\\approx 0.06655 \text{ in decimnal}\)

Step-by-step explanation:

The problem can be solved by using the combinatorics formula. The number of ways of drawing a subset of r items from a population of n items is given by

\(^nC_r = \dfrac{n!}{r! (n-r)!}\)

where n! is the factorial of n, r! the factorial of r and (n-r)! = factorial of (n-r)

The general formula for k! = k x (k - 1) x (k - 2) x ..... x 3 x 2 x 1

The number or ways in which you can get two 2's in a deal of 5 cards is given by

\(^5C_2 = \dfrac{5!}{ 2! (5 - 2)! } \\\\= = \dfrac{5!}{2! \times 3! }\\\\= 10\)

Once we have been dealt 2 2's we have to compute how many ways we can get the remaining 3 cards. Since we are looking for exactly two 2's we cannot draw another 2

The number of cards left that we can draw the remaining three cards = 52(total cards) -2(two 2's already drawn) - 2(two 2's that cannot be drawn)

= 48 cards

We can draw 3 cards from 48 cards in \(^{48}C_3\)  ways
\(^{48}C_3 = \dfrac{48!}{ 3! (48 - 3)! }\\\\\\= \dfrac{48!}{3! \times 45! }\\\\= 17296\)

Therefore the total number of ways of drawing exactly two 2's
= 10 x 17296 = 172960

The number of ways in which we can draw 5 cards from 52 cards is given by
\(^{52}C_5 = = \dfrac{52!}{5! (52 - 5)! }\\\\= \dfrac{52!}{5! \times 47! }\\\\= 2598960\)

P(exactly two 2's in a 5-card hand)
\(= \dfrac{172960}{2598960}\\\\ \\= \dfrac{2162}{32487}\\\\\)

or, in decimal
\(\approx 0.06655\)

Using translation concepts, it is found that the equation is given by:

\(y = -3\sqrt[3]{x} - 8\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent cube root function is given by:

\(y = \sqrt[3]{x}\)

It was reflected across the x-axis, that is, multiplied by -1, hence:

\(y = -\sqrt[3]{x}\)

It was vertically stretched by a factor of 3, hence:

\(y = -3\sqrt[3]{x}\)

Then, it was translated 8 units down, hence:

\(y = -3\sqrt[3]{x} - 8\)

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Answer:

Step-by-step explanation:

640

Based on the calculations, an expression which is equivalent to [u/v](x) is: C. -x³ + x² - 1.

Given the following data:

An expression is a mathematical equation which is used to show the relationship that exist between two or more numerical quantities or variables.

In this exercise, we would evaluate the given expressions by factorizing the function u(x) as follows:

u(x) = x⁵ – x⁴ + x²

u(x) = x²(x³ – x² + 1)

Rewriting the expressions as a fraction, we have:

\(\frac{u(x)}{v(x)} = \frac{x^2(x^3 - x^2 + 1)}{-x^2}\\\\\frac{u(x)}{v(x)} = -(x^3 - x^2 + 1)\\\\\frac{u(x)}{v(x)} = -x^3 + x^2 - 1\)

Therefore, u(x)/v(x) = -x³ + x² - 1.

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Answer:

c

Step-by-step explanation:trust

Answer:

\(a_5 = \frac{17}{20}\)

Step-by-step explanation:

Use the general progression formula where

\(d=\frac{3}{20}\\a_n=\frac{1}{4}+\frac{3n-3}{20}\)

Solving this for the 5th term returns the answer

\(a_5=\frac{17}{20}\)

Solution

Now

Add and subtract

Answer:

3(2×2+1)+3×(2×2)/3=1×3=4×3

36+3+4=3=12

36+3+4-3-12

43-15

28

Answer:

it takes 6.75 hours

Step-by-step explanation:

Since the time varies inversely with the speed v,we have

t ∝ 1/v

so the ratio between two values of times will be,

(t₁)/(t₂) = (1/v₁)÷(1/v₂) = (v₂)/(v₁)

(t₁)/(t₂) = (v₂)/(v₁)

in our case, it takes 6 hours at 900 km/h so t₁ = 6 h v₁ = 900 km/h

also, v₂ = 800 km/h

so we just need to find t₂,

putting values, we get,

(6/(t₂) = (800)/(900)

1/t₂ = 8/(9)(6)

1/t₂ = 4/(27)

t₂ = 27/4

t₂ = 6.75 hours