The Above Contour Map Is Given For A Function F(X,Y). Use It To Estimate The Value Of The Partial Derivatives Fx(2, 1) And Fy(2, 1).

Answer: A = 15cm squared

Step-by-step explanation:

I think :)

Given that the base of the prism is 4 cm by 3 cm and the height is 5 cm, the volume can be calculated as:

The volume of the prism = (length x width x height)

By applying the given values:

Volume of prism = 4 cm x 3 cm x 5 cm

The volume of the prism = 60 cubic cm

That implies the volume of the rectangular prism is 60 cubic cm.

We know that the pyramid's base measures 4 by 3 cm and its height is 5 cm, the base's area may be calculated as follows:

Area of base = length x width

Area of base = 4 cm x 3 cm

Area of base = 12 square cm

The volume of the pyramid can now be calculated as:

Volume of pyramid = (area of base x height) / 3

Volume of pyramid = (12 square cm x 5 cm) / 3

The volume of the pyramid = 20 cubic cm

Therefore, the volume of the square pyramid is 20 cubic cm.

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The smallest possible value for G is 1, which makes A = 9. Therefore, the value of x is 9.

To find the value of x, we need to set up an equation using the given information. Let's use the following variables:- A = the number of algebra books,- G = the number of geometry books, - a = the thickness of an algebra book, - g = the thickness of a geometry book. We are given that it takes A algebra books and G geometry books to fill the shelf:
Aa + Gg = Shelf,  We are also given that 5/6 of the algebra books and 3/4 of the geometry books would fill the same shelf: (5/6)Aa + (3/4)Gg = Shelf,  And we know that 3/4 of the algebra books alone would fill the shelf:
(3/4)Aa = Shelf. Now, we can use these equations to solve for x. First, let's divide the second equation by the third equation:

[(5/6)Aa + (3/4)Gg] / [(3/4)Aa] = Shelf / Shelf.

So [(5/6)Aa + (3/4)Gg] / [(3/4)Aa] = 1.

Now, let's simplify the equation: (5/6)A + (3/4)G = (3/4)A.  To eliminate the fractions, multiply both sides by 12:
10A + 9G = 9A. Now, isolate A: A = 9G. We know that A and G are distinct positive integers. So, the smallest possible value for G is 1, which makes A = 9. Therefore, the value of x is 9.

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Answer:

[0, ∞)

Step-by-step explanation:

Looking at the graph we see that the vertex(here it is a maximum) is (0,0)

for all values of x ≤ 0, f(x) is increasing  

for all values of x ≥  0, f(x) is decreasing

So the interval where f(x) is decreasing is [0, ∞)

The function is decreasing on the interval

Interval notation is a way of describing continuous sets of real numbers by the numbers that are bound by them.

Since we have the function given in the graph and we want to write the interval in which it is decreasing in interval notation.

The interval in which the function is decreasing is the interval in which the gradient is negative.

The gradient of the graph is negative on the interval

We use the square brackets since the boundary values are included since they are shaded on the graph.

So, the function is decreasing on the interval

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Answer:

A decagon has 10 sides so its interior angles add up to 180(10) - 360 = 1440 degrees. Therefore, on average, each interior angle is 144 degrees and each exterior angle is 36 degrees. The sum of the exterior angles is 10 x 36 = 360 degrees.

Step-by-step explanation:

The total sum of the interior angles of a simple decagon is 1440°

Answer:

wish i could help

Step-by-step explanation:

1

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2

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Answer:

The market equilibrium price is approximately $36.43 per barrel.

Step-by-step explanation:

To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).

Given:

QS = -250 + 7P

QD = 260 - 7P

Setting QS equal to QD:

-250 + 7P = 260 - 7P

Now, let's solve for P:

Add 7P to both sides:

-250 + 7P + 7P = 260 - 7P + 7P

Combine like terms:

14P - 250 = 260

Add 250 to both sides:

14P - 250 + 250 = 260 + 250

Simplify:

14P = 510

Divide both sides by 14:

14P/14 = 510/14

Simplify:

P = 36.43

The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.

In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:

-250 + 7P = 260 - 7P

Simplifying the equation, we get:

14P = 510

Dividing both sides by 14, we find:

P = 36.43

Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.

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An expression is defined as a set of numbers, variables, and mathematical operations. The correct expression is B.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to (f·g)(2) is,

f(x) = 7x²-3

g(x) = 5x

(g·f)(x) = g(f(x)) = 5(7x²-3)

                       = 5(7·2² - 3)

Hence, the correct expression is B.

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Answer:

6.3294✖️10^7

Step-by-step explanation:

To find the statdard form, you place the decimal after the largest unit, int his case 6.

Then you write down all the numbers except for "0".

This becomes:

6.3294

Then, you add the multiplying sign, and count how many digits are there after 6, and in this case, there are 7, so you add the power "7" after 10.

6.3294✖️10^7

Hope this helped!

Have a nice day:)

The solution of the subtraction problem 5 1/4 - 2 5/7 using models is 2 and 1/14.

To solve the subtraction problem of 5 1/4 - 2 5/7 using models, we can use the concept of fraction strips or bars.

First, we represent 5 1/4 by using a whole strip of length 5 and a strip of length 1/4. We represent 2 5/7 by using 2 whole strips and a strip of length 5/7.

Then, we group the strips of the same length and count how many strips of each length we have. We can see that we have 4/4 strips, 2/4 strips, and 2/7 strips.

Next, we subtract the strips of each length separately. We can see that we have 2/4 strips left over after subtracting 2/4 strips from 4/4 strips, and we have 3/7 strips left over after subtracting 2/7 strips from 5/7 strips.

Finally, we combine the leftover strips to get the final answer. 2/4 can be simplified to 1/2, and 3/7 cannot be simplified. So the answer is 2 1/2 - 3/7 or (5/2)-(3/7) which can be simplified to (35/14)-(6/14) = 29/14 or 2 and 1/14.

Therefore, the solution of the subtraction problem 5 1/4 - 2 5/7 using models is 2 and 1/14.

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Answer:

1, 3, 5 are correct

Step-by-step explanation:

1. (3.4a – 1.7b) + (2.5a – 3.9b) = 5.9a - 5.6b

2. (2.5a + 1.6b) + (3.4a + 4b) =   5.9a + 5.6b

3. (–3.9b + a) + (–1.7b + 4.9a) = 5.9a - 5.6b

4. –0.4b + (6b – 5.9a) = 5.9b - 5.6a

5. 5.9a – 5.6b = 5.9a – 5.6b

Answer:

165 students or the sophomore class of 220 are not athletic.

Step-by-step explanation:

60/240 = .25 This means that 25% of the class is athletic.  That would mean and .75 or 75% are not athletic.

220 x .75 = 165

Answer:

Step-by-step explanation:

this is so confusing

Answer:

Step-by-step explanation:

50 por que si no lO seeee agradezcan que respondo

When the null hypothesis is rejected in error it is a type II error. Hence the correct answer is A.

A Type II error occurs when the null hypothesis is incorrectly rejected. In other words, a Type II error happens when we fail to reject the null hypothesis even though it is actually false.

Option B refers to rejecting the research hypothesis in error, which is a Type I error. Type I error occurs when the null hypothesis is true, but we mistakenly reject it.

Option C refers to study underpower, which means the study lacks sufficient sample size or statistical power to detect a true effect if it exists. This is not directly related to Type II error.

Option D refers to study blinding, which is a method to minimize bias in research. However, it is not specifically related to Type II error.

Option E refers to accepting the research hypothesis in error, which is again a Type I error.

Therefore, the correct description of a Type II error is "A. The null hypothesis is rejected in error."

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Answer: a = 9/x      b = -2/y

OR

-ax + by = -11

3 and 1

Answer:

675

Step-by-step explanation:

Answer:

The function is:

y = 150*x

where y is the number of calories consumed, and x is the number of pieces of candy consumed.

Now, the domain of a function is the possible values of x that you can input in the function.

For this particular case you can have:

x = 0 (no pieces candy)

x = 1 (one piece of candy)

x = 2 (two pieces of candy)

Notice that x can be only whole numbers because, in principle, you can't eat a fraction of a piece of candy.

So we only use x = whole numbers.

Then the domain of the function is equal to all the natural numbers plus the zero, or:

D = {x ∈ N ∪ {0}}

"x belongs to the union between the set of the natural numbers and the zero"

The amount of candies can only be positive values, hence the domain of the value exists on all natural numbers that are x≥0

The domain of a function is the input values of the function for which it exists.

Given the expression that relates the number of calories you consume after eating x pieces of candy as shown:

y = 150x

The amount of candies can only be positive values, hence the domain of the value exists on all natural numbers that are x≥0

The function is also discrete because the number of candies can be counted. Note that the domain of all discrete functions is countable.

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Answer:

it's a bit blurry dear could you type out the answer please thank you love

Answer:

a = 2

Step-by-step explanation:

We know that the line of symmetry is equal to -b/2a. Since we know this, we can set up an equation by plugging in certain values.

The line of symmetry equals 2 and the line of symmetry equals -b/2a. By transitivity, 2 equals -b/2a.

In our equation, we are given what b is. b would be the second term in our quadratic equation, which is -8.

Now, we set up our equation and plug in known values.

2 = -b/2a

2 = \(-\frac{-8}{2a} \)

Negatives cancel each other out:

2 = \(\frac{8}{2a} \)

You can solve this part in many different ways, but I will do it using proportions:

\(\frac{2}{1} = \frac{8}{2a} \)

2a *2 = 8 * 1

4a = 8

Divide by 4 on both sides

a = 2

Let me know if you have any questions.

Answer:

\(f(x)=500*(.057)^x\)

Step-by-step explanation:

Answer:

x = - 25

Step-by-step explanation:

the absolute value function always gives a positive value , however , the expression inside the bars can be positive or negative, that is

| - a | = | a | =a

given

| x + 10 | = 15 , then

x + 10 = 15 ( subtract 10 from both sides )

x = 5

OR

-(x + 10) = 15

- x - 10 = 15 ( add 10 to both sides )

- x = 25 ( multiply both sides by - 1 )

x = - 25

solutions are x = 5 , x = - 25

Answer: -25

Step-by-step explanation:

Answer:

(6x+1)^2

Step-by-step explanation:

Factor using the perfect square rule.

It’s discriminant is zero, so it has one real solution statement is true for  x²-2x +1=0.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given quadratic equation is x²+1=2x

This can also be written as x²-2x +1=0

a=1, b=-2 and c=1

The expression b² − 4ac is called the discriminant, and can be used to determine whether the solutions are real, repeated, or complex.

(-2)² − 4(1)(1)=4-4

b² − 4ac= 0

A discriminant of zero indicates that the quadratic has a repeated real number solution.

It’s discriminant is zero, so it has one real solution.

Hence, It’s discriminant is zero, so it has one real solution statement is true for  x²-2x +1=0.

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Answer:

the number is 2.45

Step-by-step explanation:

let the original number = n

\(\frac{n^4}{n/2} = \frac{2n^4}{n} = 2n^3\\\\2n^3 + \frac{141}{2} = 100\\\\4n^3 + 141= 200\\\\4n^3 = 200 - 141\\\\4n^3 = 59\\\\n^3 = \frac{59}{4} \\\\n^3 = 14.75\\\\n = \sqrt[3]{14.75} \\\\n = 2.45\)

Therefore, the number is 2.45

Answer:

38,720

Step-by-step explanation:

The prime costs per unit (rounded to the nearest cent) for September were  $7.05 per unit.

In economics, total cost is the sum of all costs a company incurs in generating a certain output level.

Now, as per the question;

Prime cost = (cost of direct material + cost of direct labour)/number of units.

Cost of direct materials used = $66,000

Cost of direct labour = $75,000

Number of units = 20,000

Substituting the values;

= ($66,000 + $75,000) / 20,000 units

= $141,000 / 20,000 units

= $7.05 per unit

Thus, the prime cost per unit in September is found to be $7.05 per unit.

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Answer:

x = 1 is not a solution to the equation

Step-by-step explanation:

2x + 4 = -3x - 2            x = 1

2(1) + 4 = -3(1) - 2

2 + 4 = -3 - 2

6 = -5 FALSE

The coordinates of the vertices of the translated shape are (-4, 7), (-1, 7), (-4, 5), and (1, 5).

Transforming an object from one place to another without altering its size or shape is known as translation. Contrarily, the term "transformation" refers to a wider range of procedures that can alter the size, shape, or orientation of an item. Rotation, reflection, and scaling are some more forms of transformation in addition to translation.

The given vector is (-5, 3).

To translate the graph add the vector to the coordinates as follows:

(1, 4) + (-5, 3) = (-4, 7)

(4, 4) + (-5, 3) = (-1, 7)

(1, 2) + (-5, 3) = (-4, 5)

(6, 2) + (-5, 3) = (1, 5)

Hence, the coordinates of the vertices of the translated shape are (-4, 7), (-1, 7), (-4, 5), and (1, 5).

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