Differentiate the function h(x) using the quotient rule.
h(x) =2x+5 /2--x

The lateral surface area of the cylinder is 376.8 sq ft

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

Radius, r = 10 ft

Height, h = 6 ft

The lateral surface area of the cylinder is calculated as

Lateral area = 2 * 3.14 * rh

Substitute the known values in the above equation, so, we have the following representation

Lateral area = 2 * 3.14 * 6 * 10

Evaluate the products

So, we have

Lateral area = 376.8

Rounding the answer to the nearest tenth, we have

Lateral area = 376.8

Hence, the Lateral area is 376.8 sq ft

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

The first equation; x-2y=8

Step-by-step explanation:

Hi there!

We're told that Ty wants to isolate x in one of the equations. To do so in either, he will need to use inverse operations to cancel out values and leave just x remaining on one side of the equation.

In the second equation, he would need to subtract both sides by 6y and then divide both sides by 4 to isolate x. It's a two-step process.

However, in the first equation, he only needs to add 2y to both sides to isolate x.

I hope this helps!

Answer:

using the first equation

cause Being that the first equation has the simplest coefficients (1, -2, for x, and y respectively), it seems logical to use it to develop a definition of one variable in terms of the other

Answer:

27 cubic units

Step-by-step explanation:

Answer:

\(The ~ volume: 27~cubic ~units\) ✔︎

Step-by-step explanation:

\((3)(3)(3)\)

\(Multiply\)

\(so, your~ answer ~will ~be ~27\)

༄✫༄✫༄✫༄✫༄✫༄

hope it helps...

have a great day!!

Based on the SAS similarity theorem, both triangles are similar.

Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.

Similar Polygons have different size but the same shape, and as such, the ratio of their corresponding side lengths are equal, while their corresponding angles are congruent.

Based on the SAS similarity theorem, two triangles are similar to each other if they have two pairs of corresponding sides that are proportional and an included pair of angles that are congruent.

In ΔSTV and ΔPQR:

m∠S ≅ m∠P = 86° (one pair of included congruent angles)

ST/PQ = SV/PR = 0.67 (proportional sides).

Therefore, based on the SAS similarity theorem, both triangles are similar.

Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.

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Answer:

1/9 pan of lasagna

Step-by-step explanation:

Answer:

3 5/6

Step-by-step explanation:

Divide 23 and 6 and then it gives u 3 5/6

For the function, the x-intercept of g(x) is at (5,0).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given f(x) = ln(x)

and g(x) = -f(x - 4)

the function is

g(x) = -ln(x - 4)

when x = 5

g(x) = -ln(5 - 4)

g(x) = -ln1

g(x) = 0

the coordinates are (5, 0)

Hence the x-intercept is (5, 0).

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The interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

In this question we have an expression that combines polynomic and exponential expression, whose variable x cannot be cleared by analytical approaches, but by numerical and graphical methods. Herein we decide to find the interval by graphical methods, using a graphing tool:

First, write the function in explicit form (f(x) = 3 · x - eˣ). Second, find the two points such that the function goes through the x-axis (horizontal axis). Third, define the set of possible x-values by interval notation such that y > 0.

Then, the points of the function that are on the x-axis are (x₁, y₁) = (0.6191, 0) and (x₂, y₂) = (1.5121, 0). Then, the interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

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Answer:

it is right triangle so we have trigonometric ratio: tan(54)=3/x and from that we have x=3/tan(54)

Solution

- In order to plot the graph of the function given, we need:

1. A table of values

2. To plot the values in the table

3. Join all the points with a line or curve.

- Let us follow these steps to solve the question

Step 1: Table of values:

- The table of values will contain 2 points and the center of the graph for clarity.

- The table of values is gotten by choosing x = -4, -3, and -2. These values are then substituted into the function to get the corresponding y-values.

- For example

- We form the remaining y-values following this same process. The table of values is given below

Step 2: Plot the values:

- The plot of the values on a graph is given below

Step 3: Join all the points with a line or curve:

The statement that the one with a higher coefficient of variation exhibits higher variability is true.

The coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.

If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.

To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.

The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.

The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.

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The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.

A square is a type of quadrilateral that has four sides with four angle 90° at each edge.

The number of chocolate square mixture Charlene would use for the party = 8 packages.

The number of packages that require a cup of milk = 1

Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.

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The equivalent form of the compound inequality -22 > -5x - 7≥-33  is  -22 > -5x - 7 and -5x - 7≥-33

Inequality:

A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals the existence of an inequality when one of the values is less than, larger than, or equal to the value on the opposite side of the equation.

Given inequality is -22 > -5x - 7≥-33

The equivalent inequality is -22 > -5x - 7 and -5x - 7≥-33

Therefore,The equivalent form of the compound inequality -22 > -5x - 7≥-33  is  -22 > -5x - 7 and -5x - 7≥-33.

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Answer:

The answer is

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 7) and (2,-6)

The slope is

\(m = \frac{ - 6 - 7}{2 - - 3} = \frac{ - 13}{2 + 3} = - \frac{13}{5} \\ \)

We have the final answer as

\( - \frac{13}{5} \\ \)

Hope this helps you

Answer:

Step-by-step explanation:

The missing equation is:

\(S = \int ^b_a 2 \pi f(y) \sqrt{1 + f' (y)^2 } \ dy\)

Suppose f = nonnegative function whose first derivative is within (a,b) and it is continuous, Then the area of the surface generated is revolved about the x-axis:

The area of the surface revolution is:

\(S = \int ^b_a 2 \pi f(x) \sqrt{1 + f' (x)^2 } \ dx\)

So; if  \(x = g(y)\) for \(y \ \varepsilon \ [c,d]\)

Then; substituting a with c and b with d; f(x) also with g(y) and dx with dy;

Then;

\(S = \int ^d_c 2 \pi g(y) \sqrt{1 + g' (y)^2 } \ dy\)

SInce;

\(g(y) \ne f(y)\); Then the statement is false.

Provided that the semicircle \(y = \sqrt{1-x^2}\) isn't on \([-1,1]\) interval.

Then, the solid generated by the revolution about the x-axis is a sphere.

However, the surface is well defined and the statement is false.

Answer:Each side of x would be 7 and each side of y would be 4.

Step-by-step explanation:

Answer: the elapsed time is 3 hours and 45 minutes, so option C.

Answer:

I will be phrasing the number of cups of sugar as s, and the number of cakes as c.

3s = 4c

3 divided by 4 = 0.75

0.75s = 1c

For 1 cake, Olaf needs 0.75 cups of sugar.

Hope it helps! :)

Answer:

C!!!!!!!!!

Step-by-step explanation:

hope it help.

The problematic tendencies that can be diminished by thinking in terms of degrees of confidence rather than binary belief are overconfidence and bias.

Habits, behaviors, or mental patterns that are problematic or undesired and have the potential to produce bad results or issues are known as problematic inclinations. Thinking about degrees of confidence allows one to adopt a more complicated and probabilistic approach to decision-making by considering the information's uncertainty and complexity.

According to the text and lecture, focusing on confidence levels rather than having a strong or weak conviction might assist reduce negative reasoning tendencies like overconfidence in one's beliefs and actions, overgeneralization and oversimplification of complicated situations. Confirmation bias is the practice of selectively seeking out and interpreting data in a way that confirms one's preexisting ideas, and belief persistence is the practice of refusing to change one's beliefs in the face of new evidence.

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Answer:

In the first section the steps are wrong because they ditributed the 2 wrong they 1 shpuld be a 2 in the second row of unbolded numbers

Answer:

5280

Step-by-step explanation:

12% of 8000 = 960

960 x 5.5 = 5280

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

A is the answer

Step-by-step explanation:

if its wrong than its C

The correct compound inequality which represents the given statement is -6 < x < 6.

Compound inequalities are inequalities which are formed by combining two simple inequalities.

For example, 3 < x < 6 is a compound inequality which is a combination of x > 3 and x < 6.

Given statement is,

All real numbers that are greater than -6 but less than 6.

Let x represents the numbers satisfying the inequality.

All real numbers greater than -6 can be expressed as x > -6.

All real numbers that are less than 6 can be expressed as x < 6.

These two inequalities has to be combined.

x > -6 and x < 6

-6 < x < 6, which is the compound inequality.

Hence the compound inequality is -6 < x < 6.

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Answer:

x=15

Step-by-step explanation:

They are VERTICLE ANGLES meaning 125degrees = to the equation on the right.

(5x+30)=125

5x=85

x=15

The vertex form of the equation is y = 3(x + 2)^2 - 5

The equation is given as:

y = 3x^2 + 12x + 7

Set to 0

3x^2 + 12x + 7 = 0

Subtract 7 from both sides

3x^2 + 12x = -7

Divide through by 3

x^2 + 4x = -7/3

-------------------------------------------------------------------

Take the coefficient of x

k = 4

Divide by 2

k/2 = 2

Square both sides

(k/2)^2 = 4

-------------------------------------------------------------------

So, we add 4 to both sides of x^2 + 4x = -7/3

x^2 + 4x + 4 = -7/3 + 4

Express as perfect square

(x + 2)^2 = -7/3 + 4

Multiply through by 3

3(x + 2)^2 = -7 + 12

Evaluate

3(x + 2)^2 = 5

Subtract 5 from both sides

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

Rewrite as

y = 3(x + 2)^2 - 5

Hence, the vertex form of the equation is y = 3(x + 2)^2 - 5

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Answer:

the second one

Step-by-step explanation:

Answer:

Can not be determined.

Step-by-step explanation:

From the figure attached,

In ΔHFS and ΔIFS,

Side HS ≅ Side HI [Given]

∠HFS ≅ ∠IFS [Given]

Side FS ≅ Side FS [Reflexive property]

But there is no property of SSA (Side-side-angles for the congruence of two triangles)

Therefore, answer is "can not be determined".