Nadya has 19 1/4 yards of ribbbon she cuts ribbon into peices that measure 1 3/4 how many pieces of ribbon doe Nadya have?

Answer:

x=10, MB=19 CM=16 CB=35

Step-by-step explanation:

Since M is the midpoint of line CB

CM=MB

x+6=2x-4

6+4=2x-x

10=x

The rest is pretty simple, plug 10 in for x

To find f'(3), where f(t) = u(t) * v(t) and given u(3), u'(3), and v(t), we can use the product rule of differentiation. By evaluating the derivatives of u(t) and v(t) at t = 3 and substituting them into the product rule, we can determine f'(3).

The product rule states that if f(t) = u(t) * v(t), then f'(t) = u'(t) * v(t) + u(t) * v'(t). In this case, u(t) is given as 2, 1, -2 and v(t) is given as t, t^2, t^3. We are also given u(3) = 2, 1, -2 and u'(3) = 7, 0, 4.

To find f'(3), we first evaluate the derivatives of u(t) and v(t) at t = 3. The derivative of u(t) is u'(t), so u'(3) = 7, 0, 4. The derivative of v(t) depends on the specific form of v(t), so we calculate v'(t) as 1, 2t, 3t^2 and evaluate it at t = 3, resulting in v'(3) = 1, 6, 27.

Now we can apply the product rule by multiplying u'(3) * v(3) and u(3) * v'(3) term-wise and summing them. This gives us f'(3) = (u'(3) * v(3)) + (u(3) * v'(3)) = (7 * 3) + (2 * 1) + (0 * 6) + (1 * 2) + (-2 * 27) = 21 + 2 + 0 + 2 - 54 = -29.

Therefore, f'(3) = -29.

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Answer:

p=4w+1

Step-by-step explanation:

Answer:

a) 5p (or 5q)

b) 5p ( or 5q)

c) 10p (or 10q)

Step-by-step explanation:

We will use the following information for solving and using the given figure

Preliminary computation

We have \(\overrightarrow{AB} = \overrightarrow{BC}\)

Therefore 4p + q = 5p

5p = 4p + q

5p-4p = q

p = q

\(\overrightarrow{AB} = 4p + q = 4p + p = 5p = 5q\\\)

So each side is 5p in length which is also equal to 5q since p = q

Part a

\(\overrightarrow{AO} = \overrightarrow{OA} = \overrightarrow{AB} = 5p\)  (same as 5q)

Part b

\(\overrightarrow{OB} = \overrightarrow{OA} = 5p\)   (same as 5q)

Part c
\(\overrightarrow{EB} = 2 \cdot \overrightarrow{OB} = 2 \cdot 5p = 10p\)   (also 10q)

Answer:

52x2−2

Step-by-step explanation:

=49x2+−8+4x2+1+5+−x2

Combine Like Terms:

=49x2+−8+4x2+1+5+−x2

=(49x2+4x2+−x2)+(−8+1+5)

=52x2+−2

Answer:

13.5 , 13.5%, 0 , -26/2

Step-by-step explanation:

to convert a percentage to a decimal alll you have to do it move the decimal point over to the right 2 places up 13.5% would be .135

to convert a fraction into a decimal you can just plug it into a calculator and if you do -26/2 you get -13

have a great day :D

The present ages of Raj and his daughter are respectively: 42 years and 12 years.

Present Age of Raj =y years

Present Age of daughter =x years

According to Question :

7 Years ago,

y − 7 = 7(x − 7)

⇒ 7x − y − 42 = 0.............(1)

And 3 Years from now

y + 3 = 3(x + 3)

⇒ 3x − y + 6 = 0............(2)

From eq (1) and eq (2)

Subtract eq 2 from eq 1 to get:

7x − 3x − y + y − 42 − 6 = 0

⇒ 4x = 48

⇒ x = 12

Putting x = 12 in Equation (2). we get,

(3 × 12) − y + 6 = 0

⇒ y = 42

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Answer:

\(\boxed{m} = - \frac{2}{3} \)

Step-by-step explanation:

\(in \: other \: to \: get \: the \: slope \: of : \\ 2x+3y= –12 \\ the \: equation \: needs \: to \: be \: in \: the \: form : \\ y = mx + c \\ \\ where \: m \: is \: the \: slope \\ hence : \\ 2x + 3y = - 12 \\ 3y = - 2x - 12 \\ y = - \frac{ 2}{3} x - 4 \\ therefore \: the \: slope \: \boxed{m} = - \frac{2}{3} \)

♨Rage♨

Answer:

60

Step-by-step explanation:

Given: 1/2a + 2/3b =50

(Since b is equal to 30 we will automatically replace b with 30)

Step 1: Simplify both sides of the equation.

1/2a+20=50

Step 2: Subtract 20 from both sides.

1/2a=50-20

1/2a=30

Step 3: Multiply both sides by 2.

2(1/2a) 2(30)

a=60

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

a = 15

Step-by-step explanation:

1/2(a) + (2/3 x 30) = 50

2/3 x 30 = 20

1/2(a) + 20 = 50

Rearrange > 20 to -20

-20 + 50 = 30

1/2(a) = 30

Rearrange 1/2 to 2

2 > 30/2

30/2 = 15

a = 15

Hope this helps, and please let me know if it is correct or isn't.

Have a nice day

3. -38: Sarah's bank account balance is -$38, indicating that she has overdrafted and owes the bank money.

The integer -38 can be represented in a real-life situation where Sarah's bank account balance is negative, indicating an overdraft.

In this scenario, the negative integer -38 represents a negative bank account balance. When Sarah checks her bank account, she sees that her balance is -$38. This means that she has overdrafted her account and owes the bank $38. The negative sign indicates a deficit or debt in this real-life situation. Sarah will need to deposit funds into her account to bring her balance back to positive and clear her debt to the bank.

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The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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The modified Reynolds analogy, also known as the Chilton-Colburn analogy, is expressed mathematically as Nu = f * Re^m * Pr^n. It relates the convective heat transfer coefficient (h) to the skin friction coefficient (Cf) in fluid flow. This equation is widely used in heat transfer analysis and design applications involving forced convection.

The modified Reynolds analogy is a useful tool in heat transfer analysis, especially for situations involving forced convection. It provides a correlation between the heat transfer and fluid flow characteristics. The Nusselt number (Nu) represents the ratio of convective heat transfer to conductive heat transfer, while the Reynolds number (Re) characterizes the flow regime. The Prandtl number (Pr) relates the momentum diffusivity to the thermal diffusivity of the fluid.

The equation incorporates the friction factor (f) to account for the energy dissipation due to fluid flow. The values of the constants m and n depend on the flow conditions and geometry, and they are determined experimentally or by empirical correlations. The modified Reynolds analogy is widely used in engineering calculations and design of heat exchangers, cooling systems, and other applications involving heat transfer in fluid flow.

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Answer:

Triangle ABC is congruent to triangle DFE.

1) A Recursive formula refers always to the previous term.

2) In this Arithmetic Sequence, the common difference is 5, the first term is 12. So we can set the following Arithmetic Sequence:

Thus, this is the answer.

Answer:

15000 square feet.

Step-by-step explanation:

From the statement we have that it would be 2 times the length and 3 times the width due to the divisor, therefore, the perimeter would be equal to:

600 = 2 * l + 3 * w

300 = l + 3/2 * w

we solve for w:

l = 300 - 3/2 * w

in addition the area is equal to:

A = w * l

replacing:

A = w * (300 - 3/2 * w)

A = 300 * w - 3/2 * w ^ 2

We derive:

A '= 300 - 6/2 * w

A '= 300 - 3 * w

we equal 0:

300 - 3 * w = 0

w = 300/3

w = 100

replacing and we calculate l:

l = 300 - 3/2 * 100

l = 150

A = 100 * 150

A = 15000 ft ^ 2

The largest area would be 15000 square feet.

Answer: The value of x is 12

Definition of equation : In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

An equation combines two expressions connected by an equal sign (“=”). These two expressions on either side of the equals sign are called the “left-hand side” and “right-hand side” of the equation. We generally assume the right-hand side of an equation is zero. This will not reduce the generality since we can balance this by subtracting the right-hand side expression from both sides’ expressions.

EXPLANATION : Given: to solve for X:

\(x -\frac{x+7}{x - 10} = \frac{5}{x -10}\)

Solution: \(x - \frac{x+7}{x -10} = \frac{5}{x -10}\)

\(= > x^{2} -11x -7 = 5\)

\(= > x^{2} -11x-7-5=0\)

\(= > x^{2} -11x -12 =0\)

\(= > x^{2} -12x+x-12 =0\)

\(= > x(x-12) +1(x-12)= 0\)

\(= > (x-12) (x+1)=0\)

\(x =12 , x\neq -1\)

Final answer: The value of x is 12

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The observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.

The Maximum Likelihood Estimation (MLE) and the observed proportion of correct diagnoses in a random sample of mechanics are related concepts but not the same.

The MLE is a statistical method used to estimate the parameters of a probability distribution based on observed data. It seeks to find the parameter values that maximize the likelihood of observing the given data. In the case of a binomial distribution, which could be used to model the number of correct diagnoses, the parameter of interest is the probability of success (correct diagnosis) for each trial (mechanic).

In this context, if we have a random sample of 20 mechanics and observe that 15 of them made correct diagnoses, we can calculate the observed proportion of correct diagnoses as 15/20 = 0.75.

While the observed proportion can be considered an estimate of the underlying probability of success, it is not necessarily the same as the MLE. The MLE would involve maximizing the likelihood function, taking into account the specific assumptions and model chosen to represent the data. The MLE estimate may or may not coincide with the observed proportion, depending on the distributional assumptions and the specific form of the likelihood function.

In summary, the observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.

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Answer:

60

Step-by-step explanation:

15 times 4

Answer: There are 60 chocolates in the candy jar

Answer:

3 is the correct answer hope it helps

Answer:

function

Step-by-step explanation:

every x value has only 1 y value

Sam's maximum willingness to pay to buy a cakeIf the reference point is the status quo, Sam's utility function is given by;u(c,m) = c + m + μ(c - rc) + μ(m - rm)The marginal utility of a good is its derivative, thus.

∂u/∂c = 1 + μ′(c - rc)∂u/∂m

= 1 + μ′(m - rm)The maximum amount Sam is willing to pay to buy a cake will occur where the marginal utility of the cake is equal to the price. That is;∂u/∂c = 0⇒ 1 + μ′(c - rc)

= 0⇒ μ′(c - rc)

= -1⇒ c - rc

= -1/μ′Since μ(z) is decreasing and convex, we haveμ′(z) ≤ 0, μ′′(z) ≥ 0Hence, if the reference point is the status quo, Sam will not buy a cake whose price is more than rc.2. Sam's minimum willingness to accept to sell a cakeIf Sam wants to sell his cake, he would do so for a price that would give him at least as much utility as eating the cake himself.

That is;∂u/∂c = 0⇒ 1 + μ′(c - rc)

= 0⇒ μ′(c - rc)

= -1⇒ c - rc

= -1/μ′Therefore, the minimum amount that Sam will be willing to accept to sell his cake is rc - 1/μ′.3. Sam's minimum compensation in moneyIf Sam is offered a cake, then the minimum amount of money he will accept in exchange for the cake would be such that the utility from the money is at least as much as the utility from the cake. That is;u(c,m) = u(c, m')⇒ c + m + μ(c - rc) + μ(m - rm)

= c + m' + μ(c - rc) + μ(m' - rm)⇒ m - m'

= μ-1[μ(m' - rm) - μ(m - rm)]Thus, the minimum amount of money that Sam would demand in compensation for not accepting the cake would be given by m - μ-1[μ(m' - rm) - μ(m - rm)].4. The endowment effectSam exhibits the endowment effect when his willingness to sell his cake is less than his willingness to buy the same cake.

The endowment effect occurs when people demand more to give up a good than they are willing to pay to acquire the same good.Let λ be the marginal utility of money. Sam's willingness to pay for a cake can be expressed as;∂u/∂c = 1 + μ′(c - rc)

= 0⇒ μ′(c - rc)

= -1⇒ c - rc

= -1/μ′The willingness to sell the cake will be given by the minimum amount that Sam will accept for the cake, which is;∂u/∂c = 1 + μ′(c - rc)

= 0⇒ μ′(c - rc)

= -1⇒ c - rc

= -1/μ′Hence, Sam exhibits the endowment effect when;rc - 1/μ′ < rc + 1/λ, μ′ < λ.

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A probability distribution that indicates the probability of r successes in n trials is known as a) binomial distribution.

The correct answer is a) binomial. A binomial probability distribution is used to calculate the probability of a certain number of successes (r) in a given number of independent trials (n), where the probability of success in each trial is constant. The distribution is often used in statistics and probability theory to model real-world situations such as coin flips, product defects, or election results. The other terms mentioned in the question (subjective, joint, and marginal) are unrelated to binomial probability distributions. A probability distribution that indicates the probability of r successes in n trials is known as a) binomial distribution.

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Answer:

A 0.5

Step-by-step explanation:

p(b/a) = (p(a) × p(b))/p(a)

If A and B are independent events, P(A) = 0.4, and P(B) = 0.5, P(BIA) = 0.5 .So, correct option is A.

In probability theory, two events A and B are considered independent if the occurrence of one event does not affect the probability of the other event happening. Mathematically, this is represented as P(A ∩ B) = P(A) * P(B).

In this case, we are given that events A and B are independent, and we know the probabilities of each individual event: P(A) = 0.4 and P(B) = 0.5.

The probability of both events A and B occurring (denoted as P(A ∩ B) or P(B ∩ A)) is the product of their individual probabilities: P(A ∩ B) = P(A) * P(B).

So, P(B|A) represents the conditional probability of event B occurring given that event A has already occurred. Since A and B are independent, the occurrence of A doesn't affect the probability of B happening. Therefore, P(B|A) is equal to P(B), which is 0.5.

In summary, P(B|A) = P(B) = 0.5, as events A and B are independent, and the probability of B occurring is unaffected by the occurrence of A.

So, correct option is A.

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a) Shelly Lemony's down payment is $24,000.

b) The loan amount is $96,000.

c) The monthly payment is $8,350.89.

d) The finance charge is $4,210.68.

The down payment represents the initial up-front partial payment for the purchase of the equipment on loan.

The down payment reduces the cost of the equipment to the loan amount.  Finance companies demand a down payment to ascertain the buyer's willingness and ability to proceed with the loan arrangement.

It is a sign of commitment to meet the loan contract obligations.

Monthly Pay:   $8,350.89

Total Loan Amount = $96,000.00

Upfront Payment $24,000.00

Equipment loan = $120,000

Number of periods = 12 months

APR = 8%

Total of 12 Loan Payments = $100,210.68

Total Loan Interest = $4,210.68

Total Cost (price, interest, tax, fees) = $124,210.68

Thus, Shelly will make a down payment of $24,000 or 20% of the equipment loan.

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Answer:

width = 32 ft

Step-by-step explanation:

Divide the base area (864 ft^2) by the length (27 ft).  We don't need to know the depth of the pool to solve this problem.

864 ft^2

------------- = width = 32 ft

  27 ft

The required statements and reasons to prove that DE is equal to CE is explained.

The triangle congruence theorem is a theorem that can be used to prove that two or more triangles are the same, considering the corresponding properties of the triangles. The properties are length of the sides, and measure of internal angles.

The statements and reasons to prove that DE is equal to CE are explained below using the triangle congruence theorem.

         STATEMENT                            REASON

1. AD = BC                                          Given

2. <BCD = <ADC                                Given

3. DC = DC                                         Reflexive property

4. ΔADC ≅ ΔBCD                              SAS

5. <EDC ≅ <ECD                                CPCTC

6. AC = BD                                          Definition of diagonal

7. DE = CE                                           Congruent sides of isosceles triangle

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Answer:

because WXYZ is a rhombus

=> WX // YZ

=> ZWX + WZY = 180⁰

=> WZY = 180⁰ - ZWX = 180⁰ - 77⁰ = 103⁰