someone please help me w this

prove KLJ = NMO

(a) To find ∂z/∂s, we can use the chain rule. Let's start by finding the partial derivatives ∂x/∂s and ∂y/∂s:

∂x/∂s = ∂(r^3s)/∂s = r^3

∂y/∂s = ∂(re^2s)/∂s = re^2s * 2 = 2re^2s

Now, using the chain rule, we have:

∂z/∂s = (∂z/∂x) * (∂x/∂s) + (∂z/∂y) * (∂y/∂s)

So, ∂z/∂s = (∂z/∂x) * r^3 + (∂z/∂y) * 2re^2s

(b) To find ∂2z/∂s∂r, we can differentiate ∂z/∂s with respect to r. Using the product rule, we have:

∂2z/∂s∂r = (∂/∂r)[(∂z/∂x) * r^3 + (∂z/∂y) * 2re^2s]

Taking the derivative of (∂z/∂x) * r^3 with respect to r gives us:

(∂/∂r)[(∂z/∂x) * r^3] = (∂z/∂x) * 3r^2 + (∂^2z/∂x^2) * r^3

Taking the derivative of (∂z/∂y) * 2re^2s with respect to r gives us:

(∂/∂r)[(∂z/∂y) * 2re^2s] = (∂z/∂y) * 2e^2s

Therefore, ∂2z/∂s∂r = (∂z/∂x) * 3r^2 + (∂^2z/∂x^2) * r^3 + (∂z/∂y) * 2e^2s.

Note: The expressions (∂z/∂x), (∂z/∂y), (∂^2z/∂x^2), and (∂^2z/∂x∂y), (∂^2z/∂y^2) are not provided in the given information and would need to be given or calculated separately to obtain a specific numerical result.

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Using the endpoints of the diameter of the circle, the equation of the circle is x² + (y - 1)² = 9

A circle is a closed curve that extends outward from a set point known as the center, with each point on the curve being equally spaced from the center. A circle with a (h, k) center and a radius of r has the equation:

(x-h)² + (y-k)² = r²

This is the equation's standard form. Thus, we can quickly get the equation of a circle if we know its radius and center coordinates.

In this problem, the endpoints or coordinates of diameter of the circle is given by;

d = (-3, 1) and (3, 1)

The equation of the circle is;

x² + (y - 1)² = 9

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The null hypothesis to test the faculty member's claim that the improvement is no more than 3% at the 5% significance level is that the true mean score improvement on the outcomes assessment test is equal to or less than 3%.

The null hypothesis is a statement that assumes there is no significant difference or relationship between two variables in a population, or that any observed difference or relationship is due to chance or sampling error. It is usually denoted by "H0" and is used in statistical hypothesis testing to determine whether there is evidence to support an alternative hypothesis.

In the given question,

The null hypothesis to test the faculty member's claim that the improvement is no more than 3% at the 5% significance level would be:

H0: The true mean score improvement on the outcomes assessment test is equal to or less than 3%.

This hypothesis assumes that there is no significant improvement in the mean score on the outcomes assessment test as a result of the review course. The alternative hypothesis would be:

Ha: The true mean score improvement on the outcomes assessment test is greater than 3%.

This hypothesis assumes that there is a significant improvement in the mean score on the outcomes assessment test as a result of the review course.

To test these hypotheses, we would use a one-tailed t-test with a significance level of 0.05 and calculate the t-value and p-value based on the sample data. If the p-value is less than 0.05, we would reject the null hypothesis and conclude that there is evidence of a significant improvement in the mean score on the outcomes assessment test as a result of the review course. If the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is no evidence of a significant improvement in the mean score on the outcomes assessment test as a result of the review course.

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The obtained two numbers by substitution method are 5 and 12.

The algebraic method for solving simultaneous linear equations is the substitution method.

Let the first number be 'x'.

Let the second number be 'y'

From the given condition that second number is 3 times 1 less than the first number.

That is;

y = 3(x - 1)

Now the sum of both number are given as 17.

x + y = 17.

Use substitution method, and put the value of y in the total sum.

x + y = 17.

x + 3(x - 1) = 17

Simplify the given equation;

x + 3x - 3 = 17

4x = 17 + 3

4x = 20

x = 5 (first number)

Put the value of x in y to find the value.

y = 3(x - 1)

y = 3(5 - 1)

y = 12 (second number)

Therefore, the values of two numbers are 5 and 12.

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Answer:

$14:$49:$7

Step-by-step explanation:

To solve this question you first add the ratios.

So 2+7+1, which is 10. You then take this number and divide it by 70 to find 1 part. 70 divide by 10 is 7, which represents 1 part.

7 times by 2 is 14, 7 times by 7 is 49 and 7 times by 1 is 7.

Thus you get the ratio, $14:$49:$7.

And if you add 14+49+7, you get 70!

\(38 + 7x - 21 = 9x + 9\)

Combine like terms.

\(17 + 7x = 9x + 9\)

Eliminate a x.

\(17 = 2x + 9\)

\(8 = 2x\)

\(x = 4\)

38 + 7x - 21 = 9x + 9

7x + 17 = 9x + 9

Subtract both sides 9

7x + 17 - 9 = 9x + 9 - 9

7x + 8 = 9x

Subtract sides 7x

7x - 7x + 8 = 9x - 7x

8 = 2x

Divide both sides by 2

8 ÷ 2 = 2x ÷ 2

x = 4

b. Linear programming model is the correct option.

A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.

The constraints are represented by the inequalities:

3M + 2S ≤ 15

2M + 4S ≤ 18

These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.

Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.

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A 98% confidence interval estimate for the average age of all his customers is between 25.8 and 28.4 years old.

To find the confidence interval, we need to use the formula:

CI = x ± zα/2 * (σ/√n)

where

x = sample mean

σ = population standard deviation

n = sample size

zα/2 = z-score for the level of confidence (α/2)

We are given:

n = 53

σ = 4

α = 0.02 (since we want a 98% confidence interval, α = 1 - 0.98 = 0.02)

x = (23+38+31+22+27+35+20+18+37+27+17+36+34+35+27+18+20+36+23+32+21+26+39+28+23+33+28+22+30+17+16+27+24+32+22+40+40+31+19+16+39+34+16+39+34+22+31+19+16+39+34+16+33) / 53 = 27.11

To find zα/2, we need to look at the z-table or use a calculator:

zα/2 = 2.33 (for a 98% confidence interval)

Now we can plug in the values:

CI = 27.11 ± 2.33 * (4/√53)

CI = 27.11 ± 1.31

CI = (25.8, 28.4)

Therefore, we can say with 98% confidence that the average age of all the boutique customers is between 25.8 and 28.4 years old.

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Answer:

86

Step-by-step explanation:

b=12+74

b=12+74

b=86

Answer:

B=86

Step-by-step explanation:

So first step is add 74 to 12 because if you subtracted b with 74 and to reverse that you have to add and 74+12=86 and that is what b equals

True. A hashing algorithm is a mathematical routine used to generate a hash value from a primary key value.

A relative record number that may be used to retrieve the required record in a data structure is created using this hash value.

In order to facilitate quick access to the data, the hashing algorithm makes sure that the same hash value is generated for every primary key. How quickly the requested record can be found depends on how effective the hashing method is.

Also, it must be safe enough to prevent two main key values from producing the same hash value, as doing so might result in accessing the wrong records.

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Answer:

 translate the graph 5 units left and down 2 units

Step-by-step explanation:

To translate the function f(x) by an amount h units right and k units up, make the transformation ...

 g(x) = f(x -h) +k

Comparing this to your equation,

 g(x) = f(x +5) -2

we see that the translation is h = -5, k = -2.

The graph of f(x) is translated 5 units left and 2 units down to make the graph of g(x).

An Entity-Relationship Diagram (ERD) reflects a system's key entities and the relationship among them.

Entity Relationship Diagrams, sometimes referred to as ER Diagrams, ER Models, or ERDs, are a sort of structural diagram used in database architecture. The key entities included in the system scope as well as the interactions between these entities are both visually represented by an ERD's various symbols and connectors.

An Entity-Relationship Diagram (ERD) reflects a system's key entities and the relationship among them.

ERDs are commonly used in database design to visually represent the structure of a database system. They depict entities (objects or concepts) and the relationships between them, helping to model the organization of data and the interactions between entities. ERDs typically consist of entities (represented as rectangles), attributes (represented as ovals), and relationships (represented as lines connecting entities).

Therefore, the correct answer is:

Entity-Relationship Diagram.

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Answer:

-100

Step-by-step explanation:

8+12=20

20x(-5)=-100

Answer:

-100

Step-by-step explanation:

Distributive property:

(-5x8) + (-5 x 12) = -40 + - 60

= -40 = 60 = - 100

Or 8+12 = 20

-5 x 20 = -100

The cost of 1kg of bananas is approximately £0.30.

Let's break down the given information and solve the problem step by step.

First, we are told that 4.5kg of bananas and 3.5kg of apples together cost £6.75. Let's assume the cost of bananas per kilogram to be x, and the cost of apples per kilogram to be y. We can set up two equations based on the given information:

4.5x + 3.5y = 6.75   (Equation 1)

and

3.5y = 5.40         (Equation 2)

Now, let's solve Equation 2 to find the value of y:

y = 5.40 / 3.5

y ≈ £1.54

Substituting the value of y in Equation 1, we can solve for x:

4.5x + 3.5(1.54) = 6.75

4.5x + 5.39 = 6.75

4.5x ≈ 6.75 - 5.39

4.5x ≈ 1.36

x ≈ 1.36 / 4.5

x ≈ £0.30

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The function that approximates Australia's per capita GDP in t years after 1950 is \(G(t) =$1800(1.067)^t.\)

A function sets the value of one set's elements to the value of another set's specified element.

GDP represents the monetary worth of final products and services (those purchased by the final user) generated in a country over a certain time period.

According to the given information:

Given that Australia's GDP in 1950 was $1800, and that it is expanding by 6.7% per year, the GDP of Australia will increase by 6.7% each year after 1950.

As a result of the compounding effect, a function that gives the estimated per capita GDP of Australia in t years following 1950 can be expressed as follows:

\(GDP = 1800 + (1+6.7)^{t}\)

\(GDP = $1800 + (1+0.067)^t\)

\(GDP = $1800 + (1.067)^t\)

Hence, The function that approximates Australia's per capita GDP in t years after 1950 is \(G(t) =$1800(1.067)^t.\)

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Answer:

\(h(-1)=-\dfrac{\boxed{2}}{\boxed{3}}\)

Step-by-step explanation:

Given function:

\(h(x)=\dfrac{2x-6}{4x^2+8}\)

To find h(-1), substitute x = -1 into the given function:

\(\begin{aligned}\implies h(-1)&=\dfrac{2(-1)-6}{4(-1)^2+8}\\\\&=\dfrac{-2-6}{4(1)+8}\\\\&=\dfrac{-2-6}{4+8}\\\\&=\dfrac{-8}{12}\\\\&=\dfrac{-8 \div 4}{12 \div 4}\\\\&=-\dfrac{2}{3}\end{aligned}\)

Answer:

\({ \sf{h(x) = \frac{2x - 6}{ {4x}^{2} + 8 } }} \\ \)

h(-1) implies that x = -1; therefore

\({ \sf{h( - 1) = \frac{2( - 1) - 6}{4 {( - 1)}^{2} + 8 } }} \\ \\ { \sf{h( - 1) = \frac{ - 2 - 6}{4 + 8} }} \\ \\ { \sf{h( - 1) = \frac{ - 8}{12} }} \\ \\ { \boxed{ \sf{ \: h( - 1) = - \frac{2}{3} }}}\)

Answer:

0

Step-by-step explanation:

tan2°- cot 88° = tan 2° - tan (90-88)°

= tan 2°-tan 2° = 0

Answer:

Step-by-step explanation:

➡️tan 2° - cot 88°

➡️tan 2° - tan (90° - 88°)

➡️tan 2° - tan 2°

➡️ 0 ✅

Answer: A

Step-by-step explanation:

Answer:

60 yd

Step-by-step explanation:

this is what I did: 80^2 + b^2 = 100^2

Answer:

A, B, and C are all true.

Step-by-step explanation:

A. 6 is neither a perfect square nor a perfect cube.   True

B. 16 is a perfect square.   True \(4^{2}\)

C. 27 is a perfect cube.   True \(3^{3}\)

OD. 1,331 is both a perfect square and a perfect cube.   False

E. 9 is a perfect cube.  False

The amount in gallons of each milk containing 9% butterfat and milk containing 4% butterfat which must be used to obtain the desired 365 gallons are;

It follows from the task content that the quantity of each type of milk required to arrive at the targeted fat content and quantity of milk are to be determined.

Let x = quantity of 9% fat milk and

Let y = quantity of 4% fat milk

Therefore, by mass balance; we have;

x + y = 365.

Where; y = 365 - x.

Also, by fat balance; we have;

(9% × x) + (4% × y) = (7% × 365)

9x + 4y = 2555

Therefore, the two equations to be solved simultaneously by substituting y from the first equation into the second equation as follows;

9x + 4 (365 - x) = 2555

5x = 1095

x = 1095/5

x = 219 gallons.

Also, y = 365 - 219 = 146 gallons.

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The conditions which must be met to use z procedures in a significance test about a population proportion include:

I. The population is greater than 10 times the sample size.

II. The probability of success multiplied by the sample size is greater than or equal to 10.

III. The probability of failure multiplied by the sample size is greater than or equal to 10.

This is a statistical test done on data that follows a normal distribution and determines if the population means are different when the variances are known and the sample size is large.

The population must be greater than 10 times the sample size in this scenario with the other appropriate conditions being mentioned above.

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Answer:

yessssssssssssssssssssssssssssss

Answer:

acres he can plant with remaining seeds

Step-by-step explanation:

i got it correct on ttm

Answer:

acres he can plant with remaining seed

The 95% confidence interval for tthe population mean, μ of all venture-capital investments in the fiber optics business sector is equals to the 4.472 ≤ μ ≤ 7.990 that is ( 4.472, 7.990).

We have a random sample of venture capital investments in the fiber optics business sector.

Sample size, n = 10

Standard deviations, σ = $2.84 million

Sum of data, ∑xᵢ = $62.32 million

Confidence interval, CI = 95% = 0.95

We have to determine the 95% confidence interval for the mean amount.

Sample mean is defined as the sum of observations divided by number of observations. Mathematically, X-bar

= ∑xᵢ /n

= 62.32/10 = 6.232

Now, using the Z distribution table, the critical value at 0.05 significance level for two tailed test is = Z₀.₀₅/₂ = Z₀.₀₂₅

= 1.96

So, 95% confidence interval for the population mean is written as

CI₀.₉₅ = X-bar - Z(σ/√n ) ≤ μ ≤ X-bar + Z(σ/√n)

= 6.232 - 1.96(2.84/√10) ≤ μ ≤ 6.232 +

1.96(2.84/√10)

= 6.232 - 1.760 ≤ μ ≤ 6.232 + 1.760

= 4.472 ≤ μ ≤ 7.990

Hence, required interval is ( 4.472, 7.990).

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Answer:

Yes they are congruent

they are congruent by SSS rule that is Side Side Side rule

AD = CD (given side) in the question itself

AB = CB  (given side) in the question itself

Db = BD (common side)

thats why by SSS rule they are congruent

\(\large\huge\green{\sf{Answer:-}}\)

in ∆ABD and CND

∴ ∆ABD ≅ ∆ CND (by S SS congruent condition)

The length of each piece of wood is 0.725 feet.

We are given that the Length= 3.5feet

Now,

This is a word problem that can be solved by using algebra and arithmetic.

Part A: Let x be the length of each of the four pieces of wood he cut. Then, according to the problem, we have:

4x + 0.6 = 3.5

This is the equation that could be used to determine the length of each piece of wood.

Part B: We know the equation from part A is correct because it represents the total length of the wood before and after cutting. The left side of the equation is the sum of the lengths of the four pieces of wood and the leftover piece of wood. The right side of the equation is the original length of the wood. Since cutting does not change the total length of the wood, these two sides must be equal.

Part C: To solve the equation from part A, we need to isolate x by using inverse operations. We get:

4x + 0.6 = 3.5 4x = 3.5 - 0.6 (subtract 0.6 from both sides) 4x = 2.9 x = 2.9/4 (divide both sides by 4) x = 0.725

Therefore, by the algebra the answer will be 0.725 feet.

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Answer:

B

Step-by-step explanation: