Harlon wrote the equation to find the area of a rectangle that has a length of and a width of 18. He solved for x and got Which of the following is an equivalent equation for x

Answer:

0.0057

Step-by-step explanation:

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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Answer:

i think the answer is d.

Step-by-step explanation:

tell me if this is wrong.

The position vector that represents the velocity of the plane relative to the ground is \begin{pmatrix}40\\40\\-20\end{pmatrix}.

The position vector of the velocity of the plane relative to the ground

We will resolve the velocity of the airplane into two vectors, one in the North direction and the other in the East direction.

Let's assume that the velocity of the airplane in the North direction is Vn and in the East direction is Ve.

Vn = 40 mphVe = 40 mphIn the vertical direction, the airplane is moving downward due to downdraft.

The velocity of the airplane in the vertical direction isVv = -20 mph (- sign because it is moving downward)

The velocity of the airplane with respect to the ground (v) is the resultant of these three vectors (Vn, Ve, and Vv)

According to the Pythagorean theorem;

v^2 = Vn^2 + Ve^2 + Vv^2v = sqrt(Vn^2 + Ve^2 + Vv^2)

Putting values, we get

v = sqrt(40^2 + 40^2 + (-20)^2)

= sqrt(3200) mph

v = 56.57 mph

Therefore, the position vector that represents the velocity of the plane relative to the ground is \begin{pmatrix}40\\40\\-20\end{pmatrix}.

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Here are three different equations that relate C and B:

1. B = (2/7) * C

2. B/C = 2/5

3. 5C = 2B

1. B = (2/7) * C

Since the ratio of cocoa to cocoa butter is 5:2, we can write 5 + 2 = 7, which represents the total number of parts. Dividing 2 by 7, we get 2/7, which represents the fraction of cocoa butter in the mixture. To find the number of grams of cocoa butter needed for C grams of cocoa, we multiply C by 2/7.

2. B/C = 2/5

Dividing the number of grams of cocoa butter (B) by the number of grams of cocoa (C), we get the ratio of cocoa butter to cocoa, which is 2/5.

3. 5C = 2B

Since the ratio of cocoa to cocoa butter is 5:2, we can write the equation 5 * C = 2 * B, which represents the number of parts of cocoa to the number of parts of cocoa butter. Solving for B in terms of C, we get B = (2/5) * C.

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Answer:

X=5or -2

Step-by-step explanation:

x²-3x-10=0

x²-(5-2)x-10=0

x²-5x+2x-10=0

x(x-5)+2(x-5)=0

(x-5)(x+2)=0

either Or

x-5=0 x+2=0

x=5 x=-2

The given statement " The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate " is false because the allowable range for an objective function coefficient assumes that the original estimates for other coefficients are approximately correct

The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are approximately correct, but not necessarily completely accurate. The allowable range takes into account the potential variability or uncertainty in the estimated values of the other coefficients, as well as the impact of any errors or discrepancies in the data used to estimate the model.

Therefore, the allowable range provides a range of values within which the objective function coefficient can vary while still producing a valid and useful model. It does not assume that the other coefficients are completely accurate or that this is the only coefficient whose true value may differ from its original estimate.

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Answer:

side-side-side similarity

Step-by-step explanation:

this is because the bigger triangle side lenghts are 2 times the side lenghts of the smaller triangle.

Answer:

Angle-Angle similarity

Step-by-step explanation:

The triangles does not have the same length of sides. Therefore, they have the same angles

Answer:

Step-by-step explanation:

Its easy if you think about it, the median is the middle number of the equation so you line the numbers up in order- least to greatest.

1,1,1,1,1,1,2,2,2,2,2,3,4,4,4.

Cross out the numbers until you hit one middle number!
Median is 2.

Answer:

5. x=80°, y= 80°

Step-by-step explanation:

5.x=80 (Vertically opposite angle V.O.A)

y=80 (alternate angle)

The given expression is the square of a binomial, such that:

(2x + 1)^2 = 4x^2 + 4x + 1

Then the correct option is C.

We want to see if:

(2x + 1)^2

Is equivalent to (4x^2 + 1).

First, this is false, let's prove that.

We have the square of a binomial (2x + 1)^2. Remember the general formula:

(a + b)^2 = a^2 + 2ab + b^2

So if we apply this to our expression we get:

(2x + 1)^2 = (2x)^2 + 2*2x*1 + 1^2 = 4x^2 + 4x + 1

Then, the correct option is C.

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Answer:

Image result for what event started the 100 years war

The Hundred Years' War was fought between France and England during the late Middle Ages. It lasted 116 years from 1337 to 1453. The war started because Charles IV of France died in 1328 without an immediate male heir

Step-by-step explanation:

So it would be C

Answer:

Philip VI took English land

Step-by-step explanation:

"By convention, the Hundred Years' War is said to have started on May 24, 1337, with the confiscation of the English-held duchy of Guyenne by French King Philip VI." - Encyclopedia Britannica

The method used to determine the probability of a family having six girls, based on a survey of 1000 families with six children, is the classical method.

The classical method involves calculating probabilities based on the assumption of equally likely outcomes and known sample spaces. In this case, the sample space consists of all possible combinations of genders for six children, and the probability of a family having six girls is calculated as the ratio of the favorable outcome (one specific combination) to the total number of outcomes (all possible combinations).

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Answer:

Radius is 4.297

Step-by-step explanation:

Hieght=5

Surface Area=251

Answer:

Its r = 3.99898596 in

Step-by-step explanation:

It should be the answer if the volume is 251.2. But it confuses people like is it 251 2 or 251.2. Hope that helps

The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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The quadratic function f(x) = x² + 10x + 37 from standard form to vertex form is f(x) = (x + 5)² + 12

From the question, we have the following parameters that can be used in our computation:

f(x) = x² + 10x + 37

The above quadratic function is its standard form

f(x) = ax² + bx + c

Start by calculating the axis of symmetry using

h = -b/2a

So, we have

h = -10/2

h = -5

Next, we have

f(-5) = (-5)² + 10(-5) + 37

k = 12

The vertex form is then represented as

f(x) = a(x - h)² + k

So, we have

f(x) = (x + 5)² + 12

Hence, the vertex form is f(x) = (x + 5)² + 12

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Answer:
$33.64

If this help please set brainliest.

Step-by-step explanation:

The total cost of all the items before the discount is $42.05. The discount Joseph receives is 20% of this amount, so the discount he receives is $42.05 * 20% = $8.41.

The total cost after the discount is applied is $42.05 - $8.41 = $33.64. This is the total cost in dollars and cents, before tax, rounded to the nearest cent.

0.75 is greater. You can test this by converting 2/3 to a decimal—it comes out to 0.6666...—and if you round that, it comes to 0.67. In addition, 0.75 as a fraction would be 3/4.

Answer: 0.75

Step-by-step explanation:

2/3 = 0.67 rounded to the nearest hundredth and 0.75> 0.67

There are 4660194 metric ton of water fell on the city.

According to the statement

we have to find that the How many metric tons of water fell on the city.

And for this purpose, we know that the

From the given information:

Time period - 2hours

And A storm dumps 1.0 cm of rain on a city 6km wide and 8km long.

So,

we know that the

1 cm = 0.01 m

6 km = 6000 m

8 km = 8000 m

Now, the volume becomes

Volume of water = 0.01 m x 6000 m x 8000 m =  480000 m³

480000 m³ = 480000000 kg of water (density of water = 1000kg/m³)

103 kg = 1 metric ton

480000000 kg = 480000000 / 103 = 4660194 metric ton.

So, There are 4660194 metric ton of water fell on the city.

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Answer:

I have something you might like!

Here's the key ;)

Step-by-step explanation:

I would appreciate Brainliest! I hope I helped! :)

The term that describes jellyfish skeletons formed by fluid-filled compartments is hydrostatic skeletons.

Hydrostatic skeletons are a type of skeletal system found in certain invertebrates, including jellyfish. These skeletons rely on the pressure of fluid within the body to provide support and maintain the body structure. In jellyfish, the fluid-filled compartments act as a hydrostatic skeleton, resisting compression and preventing the body from collapsing or deforming. This enables jellyfish to maintain their shape and move through the water with flexibility. By adjusting the internal pressure of the fluid-filled compartments, jellyfish can control their buoyancy and movement. Hydrostatic skeletons are advantageous for organisms that live in aquatic environments, allowing for efficient locomotion and adaptation to varying water conditions.

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Answer: 5.6815129e+31

Explanation: First do 15^3 to get 3375 then we do 3375^9 to get 5.6815129e+31.

Hope this helps!

The level of a line's slope indicates its steepness.

The slope is computed mathematically as "rise over run" (change in y divided by change in x).

In accordance with the slope equation, the slope of such a line may be determined by dividing the rise of the line between two positions by the run of the same line between the same two sites. 

That is to say,

Example -

This line goes through the points (0,0) and (4,4).

Now, slope = (y₂ - y₁) / (x₂ - x₁)

slope = (4 - 0) / (4 - 0)

slope = 4 / 4

slope = 1

So, from the above calculation it is shown that, the slope of the line is 1.

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Answer:

2x

Step-by-step explanation:

\(\frac{10xy}{5y}\) ← cancel the common factor 5y on numerator and denominator

= 2x

Step-by-step explanation:

hope it's helpful for you

Answer:

143

Step-by-step explanation:

11x13=143

Answer: 143

Step-by-step explanation: L * W =A so, 11 multiplied by 13 gives you 143

Answer:

The answer is C. 2/3

Step-by-step explanation:

Answer:

C. 2/3

Step-by-step explanation:

equation for slope: y2 - y1 / x2 - x1

Pick any two exact points from the line. I will use (0, -3) and (3, -1)

The y's for both points are -3 and -1. The x are 0 and 3. Plug that into the equation

-3 - (-1) / 0 - 3

= -3 +1 / 0 - 3

-2/-3

Negatives cancel so it becomes positive

So the slope is 2/3

Answer:

Step-by-step explanation:

(a) Let x represent the length of the first side. Then the second side is (x+4) and the third side is (x+3). The perimeter is ...

  x + (x+4) +(x+3) = 15

  3x = 8 . . . . collect terms, subtract 7

  x = 2 2/3 . . . . divide by 3

The third side is x+3 = 5 2/3 inches.

__

(b) For this, we are told the second side is S, so we have ...

  S = (x+4)

  x = S -4 . . . . . subtract 4 to solve for x

Using this in our expression (in part (a)) for the third side, we have ...

  third side = (x +3) = (S -4) +3

  third side = S -1

The differential equation \(y''y'=7\sin2t+5t\cos2t$\) is given by \(y(t)=\pm\int\sqrt{-7\cos2t+\frac{5}{2}t\sin2t+C_1}\,\)\(dt+C_2\)

Given differential equation is \(y''y'=7\sin2t+5t\cos2t\).

To find a differential equation, we need to integrate it twice, i.e., we need to find y' and y separately.

Let us first find y'.

Given the differential equation is,

\(y''y'=7\sin2t+5t\cos2t\)

Multiplying both sides with 2y', we get,

\(2y'y''y'=2(7\sin2t+5t\cos2t)\)

Now, we have to integrate both sides with respect to t.

Integrating LHS, we get,

\(\int 2y'y''\, dt=y'^2\)

Integrating RHS, we get,

\(\int 2(7\sin2t+5t\cos2t)\, dt=-7\cos2t+\frac{5}{2}t\sin2t+C_1\)

where C_1 is the constant of integration.

Putting both values in the original differential equation, we get, \(y'^2=-7\cos2t+\frac{5}{2}t\sin2t+C_1\)

Taking the square root of both sides, we get \(y'=\pm\sqrt{-7\cos2t+\frac{5}{2}t\sin2t+C_1}\)

Again, we have to integrate it, we get,

\(\int\frac{dy}{\sqrt{-7\cos2t+\frac{5}{2}t\sin2t+C_1}}=\int dt\)

On integrating both sides, we get the general solution of the given differential equation, i.e.,

\(y(t)=\pm\int\sqrt{-7\cos2t+\frac{5}{2}t\sin2t+C_1}\, dt+C_2\)

where C_2 is another constant of integration.

Therefore, the differential equation

\(y''y'=7\sin2t+5t\cos2t\) is given by \(y(t)=\pm\int\sqrt{-7\cos2t+\frac{5}{2}t\sin2t+C_1}\, dt+C_2\).

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Answer:

x = 5

Step-by-step explanation:

The total degrees in a 4 sided polygon is 360°

360° = 51° + 51° + 2(28x - 11°)

56x - 22° + 51° + 51° = 360°

56x = 280°

x = 5