Will only name Brainliest if its the correct answer!

The required volume of the solid which was obtained by rotating the region bounded by the curve about a line is equal to  ( π/2 ) (  e⁻⁴  + e⁴).

Graph is attached.

Volume of the solid rotating the region bounded by the curves about a line with y = eˣ with x = −2, x = 2 about x-axis.

=π \(\int_{-2}^{2}\) [( eˣ - 0)² ] dx

= π \(\int_{-2}^{2}\) e⁽²ˣ⁾ dx

= π (e²ˣ) / ( 2 \(|_{-2}^{2}\)

= ( π/2 )[  e⁻⁴  - e⁴  ]

= ( π/2 ) (  e⁻⁴  +  e⁴ )

Graph is attached.

Therefore, the volume of the solid of the rotating region bounded by curves about line is equal to  ( π/2 ) (  e⁻⁴  +  e⁴ ).

Graph is attached.

Learn more about volume here

brainly.com/question/13338592

#SPJ4

The domain of the function y = log_b(2x – 6), where b > 1, is {x | x > 3}.
The y-intercept of the function f(n) = a^n + b, where a is not equal to 1 and a > 0, is the point (0, b).

The domain of the logarithmic function y = log_b(2x – 6), where b > 1, refers to the set of all valid input values for x. In this case, we need to ensure that the argument of the logarithm, 2x – 6, is greater than zero.

This is because the logarithm function is only defined for positive values.
To determine the domain, we solve the inequality 2x – 6 > 0:
2x – 6 > 0
2x > 6
X > 3

Therefore, the domain is expressed in set-builder notation as {x | x > 3}, meaning all values of x greater than 3.

The y-intercept of the function f(n) = a^n + b, where a is not equal to 1 and a > 0, is the point where the function intersects the y-axis, or when n = 0.

To find the y-intercept, we substitute n = 0 into the function:
F(0) = a^0 + b = 1 + b = b

Therefore, the y-intercept of the graph is (0, b), indicating that the y-coordinate is equal to the constant term b.


Learn more about logarithmic function here : brainly.com/question/30339782

#SPJ11

Answer:

-1

Step-by-step explanation:

write it in the following manner:

-3x + 7  - 5x = 15

-8x + 7 = 15

-8x = 8

x = -1

Thus, the number has to be smaller than -1.

The smallest integer that makes the given inequality true is 0.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given inequality,

-3x + 7 - 5x < 15

We have to find the value of x.

(-3x - 5x) + 7 < 15

-8x < 8

Dividing whole sides by -1, the inequality sign changes.

x > -1

Smallest possible value is 0.

Hence the smallest posible value is 0.

Learn more about Inequalities here :

https://brainly.com/question/26855203

#SPJ2

Ans: 10+7n

Step-by-step explanation: there you go

Answer:

d=7; equation=17+(n-1)7

Step-by-step explanation:

I dont know what your question is but it goes up by 7

\(\boxed{\sf 750~per/person}\boxed\)

\(3,000 / 4(people) = 750\\)

The measure of <1 is 147 degree.

Given:

m∠2 = 12x - 15

m∠7 = 3x + 21

Since angles 2 and 7 are alternate Exterior angles, they are congruent.

So, 12x - 15 = 3x + 21

12x - 3x = 21 + 15

9x = 36

x = 4

So, <2 = 12x - 15= 48 - 15 = 33

Now, <1 + <2 = 180 (Linear Pair)

<1 + 33 = 180

<1 = 147 degree

Thus, the measure of <1 is 147 degree.

Learn more about Parallel line here:

https://brainly.com/question/16701300

#SPJ1

The amount of heat released when 12.0g of helium gas condense at 2.17 K is; -250 J

The latent heat of vapourization of a substance is the amount of heat required to effect a change of state of the substance from liquid to gaseous state.

However, since we are required to determine heat released when the helium gas condenses.

The heat of condensation per gram is; -21 J/g.

Therefore, for 12grams, the heat of condensation released is; 12 × -21 = -252 J.

Approximately, -250J.

Read more on latent heat:

https://brainly.com/question/19863536

Answer:

its a

Step-by-step explanation:

Answer:

3 a) 8x +8 in

3 b) 24 in

3 c) 4x +4 in

3 d) 16x + 16 in

Step-by-step explanation:

3 b) You have to put 2 in place of x and calculate the perimeter:

8•2 +8

16 +8

24 in

Answer:

40%

Step-by-step explanation:

Given parameters:

Number of people surveyed  = 2200

Number of people who said they would buy the car again  = 880

Unknown:

The percentage of people satisfied with the car  = ?

Solution:

The percentage of people satisfied with the car purchase can be determined using the expression below:

Percentage of people satisfied  = \(\frac{Number of people who said they would buy the car again}{Number of people surveyed} x 100\)

Percentage of people satisfied  = \(\frac{880}{2200}\)  x 100  = 40%

For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

To determine the value of n₀ for which Algorithm A is better than Algorithm B when B uses n√n operations, we need to find the point at which the number of operations for Algorithm A is less than the number of operations for Algorithm B.

Algorithm A: 10n log n operations

Algorithm B: n√n operations

Let's set up the inequality and solve for n₀:

10n log n < n√n

Dividing both sides by n gives:

10 log n < √n

Squaring both sides to eliminate the square root gives:

100 (log n)² < n

To solve this inequality, we can use trial and error or graph the functions to find the intersection point. After calculating, we find that n₀ is approximately 459. Therefore, For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

Learn more about Algorithm  here:

https://brainly.com/question/24953880

#SPJ11

R-1.3: For \($n \geq 14$\), Algorithm A is better than Algorithm B when B uses \($n^2$\) operations.

R-1.4: Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

R-1.3:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n^2$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n^2$\)

\($10 \log n < n$\)

\($\log n < \frac{n}{10}$\)

To solve this inequality, we can plot the graphs of \($y = \log n$\) and \($y = \frac{n}{10}$\) and find the point of intersection.

By observing the graphs, we can see that the two functions intersect at \($n \approx 14$\). Therefore, for \($n \geq 14$\), Algorithm A is better than Algorithm B.

R-1.4:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n\sqrt{n}$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n\sqrt{n}$\)

\($10 \log n < \sqrt{n}$\)

\($(10 \log n)^2 < n$\)

\($100 \log^2 n < n$\)

To solve this inequality, we can use numerical methods or make an approximation. By observing the inequality, we can see that the left-hand side \($(100 \log^2 n)$\) grows much slower than the right-hand side \($(n)$\) for large values of \($n$\).

Therefore, we can approximate that:

\($100 \log^2 n < n$\)

For large values of \($n$\), the left-hand side is negligible compared to the right-hand side. Hence, for \($n \geq 1$\), Algorithm A is better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

So, for R-1.4, the value of \($n_0$\) is 1, meaning Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

To know more about Algorithm, refer here:

https://brainly.com/question/28724722

#SPJ4

Answer:

360  s

Step-by-step explanati:

Answer:

360

Step-by-step explanation:

Hope it helps!~ (Sorry if you get it wrong or I got it wrong- ~The Confuzzeled homan

Answer:

Step-by-step explanation:

The area outside of the semicircle is the difference of the areas of the rectangle and the semicircle.

Area of rectangle:

Area of the semicircle:

The area we are looking for is:

Correct choice is A

The side TU of the right triangle is 156.15 metres and the area of the triangle is  6168.07 metres squared.

The side GH of the right triangle is 182.33 metres and the area of the triangle is  8934.27 metres².

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The missing side of the right triangle can be found using Pythagoras's theorem.

Therefore,

a² + b² = c²

where

The area of the right triangle can be found using the formula as follows:

area of a triangle = 1 / 2 bh

where

Hence,

1.

TU² = 175² - 79²

TU² = 30625 - 6241

TU² = 24384

TU = √24384

TU = 156.153770368

TU = 156.15 metres

Area = 1 / 2 × 156.15 × 79

area = 6168.07392952

area = 6168.07 metres squared

2.

GH² = 207² - 98²

GH² = 42849 - 9604

GH = √33245

GH = 182.33211456

GH = 182.33 metres

Area of the triangle  = 1 / 2 × 98 × 182.33

Area of the triangle  = 8934.27361345

Area of the triangle  = 8934.27 metres²

learn more on right triangle here: brainly.com/question/6322314

#SPJ1

The domain and range for a function modeling the total amount of the investment, including interest are as follows;

The starting principal amount, P is $25,000.

In essence, after 10 years, the total amount Vladimir has is;

In essence, the domain (No. of years ) is;

Read more:

https://brainly.com/question/14489958

Answer:

The answer is 496125.

Step-by-step explanation:

Simply multiply the two numbers together to get 567*875 = 496125.

Hope this helped!

Answer:496,125

Step-by-step explanation:

Explanation

Step 1

convert the fraction in decimal number

Step 2

Multiply the result by 100

so, the fractions equals 83.33 out of 100

Step-by-step explanation:

y = 0.5x + 4

When y = 2, x = -4. (shown in graph)

When y = 6, x = 4. (shown in graph)

Hence the domain would be -4 <= x <= 4.

Answer:

1468 in^3

Step-by-step explanation:

Multiply all of the larger box dimensions

10 * 10 * 15 = 1500  in^3

subtract the smaller box cut out corner

2 * 4 * 4 =  32

1500 - 32 = 1468 in^3

Answer:

Answer:

x= 7

Step-by-step explanation:

3x= 13+8

3x= 21

x= 21/3

x= 7

The total cost paid by Matt if he joins for 6 months is found as 320.

For the stated query:

The joining cost of gym = 200

The month cost = 20.

Let the number of month be 'x'.

Let the total cost be 'c'.

Then , linear equation forms be.

c = 200 + 20x

For 6 months, put x = 6.

c = 200 + 20*6

c = 200 + 120

c = 320

Thus, the total cost paid by Matt if he joins for 6 months is found as 320.

To know more about the linear equation, here

https://brainly.com/question/2030026

#SPJ1

The complete question is-

Matt joins a gym the cost includes a one time fee of 200 plus a monthly fee of 20. Find the total cost paid by Matt if he joins for 6 months.

The linear programming model for this problem is Max 1000F + 1000T

Given that,

If the quantity of flip top pens to be produced is f and the quantity of tiptop pens to be produced is t, then

Number of lots of Flip top pens to produce = F

Number of lots of Tip top pens to produce = T

Therefore, The linear programming formulation is given by:

Max 1000F + 1000T

s.t.

Plastic: 3F + 4T <= 39

Ink Assembly:  5F + 4T <= 45

Molding time: 5F + 2T <= 37

F, P >= 0

Hence, the linear programming model for this problem is Max 1000F + 1000P

Learn more about  linear programming model :

brainly.com/question/28036767

#SPJ4

The equivalent system of first-order differential equations is:

To transform the given differential equation into an equivalent system of first-order differential equations, we can introduce new variables. Let's define:

x1 = x

x2 = x'

x3 = x''

x4 = x'''

Now, we can rewrite the original equation in terms of these new variables:

x4 - 5x'' - 3x' + 53sin(3t) = 0

Replacing the derivatives with the new variables, we have:

x4 = x4

x3 = x'''

x2 = x'

x1 = x

Now, we have a system of first-order differential equations:

x1' = x2

x2' = x3

x3' = x4 - 5x2 - 3x1 + 53sin(3t)

x4' = ?

We need to find an expression for x4' by differentiating one of the equations. Let's differentiate the equation x3' = x4 - 5x2 - 3x1 + 53sin(3t) with respect to t:

x4' = x3'' = (x4 - 5x2 - 3x1 + 53sin(3t))'

Differentiating each term, we get:

x4' = x4' - 5x2' - 3x1' + 159cos(3t)

Simplifying, we have:

x4' = -5x2 - 3x1 + 159cos(3t)

Therefore, the equivalent system of first-order differential equations is:

x1' = x2

x2' = x3

x3' = x4 - 5x2 - 3x1 + 53sin(3t)

x4' = -5x2 - 3x1 + 159cos(3t)

Note: The given differential equation is of the fourth order, so the resulting system has four first-order equations to represent it.

Learn more about differential equation here:

brainly.com/question/14620493

#SPJ11

DF^2 = 170 * 169^2 / (135^2 + 200 - 26EX) = 106.7027

DY^2 = 170 * 169^2 / (135^2 + 50 -

In the given figure, we have a triangle DEF, where EF is a transversal intersecting DE and DF at points X and Y, respectively, such that XY || DE.

    D

   / \

  /   \

 /     \

E-------F

Given that XF = 10, YF = 5, and EF = 13, we need to find DY.

We can start by using the property of similar triangles. Since XY || DE, we have the following similarity ratios:

EF / ED = EY / EJ  (where J is the intersection of XY and DF)

EF / DF = EJ / EY

Substituting the given values, we get:

13 / ED = EY / EJ

13 / DF = EJ / (13 - EY)

Multiplying the above two equations, we get:

13 / ED * 13 / DF = EY / EJ * EJ / (13 - EY)

169 / (ED * DF) = EY / (13 - EY)

Substituting the values of XF = 10 and YF = 5, we get:

169 / (ED * DF) = 5 / 8

ED / DF = 135 / 169

Using the Pythagorean theorem on triangles DEX and DFY, we get:

ED^2 = EX^2 + DX^2

DF^2 = FY^2 + DY^2

Since EX + DX = EF = 13, we have DX = 13 - EX. Substituting this in the first equation and simplifying, we get:

ED^2 = EX^2 + (13 - EX)^2

ED^2 = 2EX^2 - 26EX + 170

Similarly, substituting FY = 13 - EY in the second equation and simplifying, we get:

DF^2 = FY^2 + DY^2

DF^2 = 170 - 26EY + EY^2 + DY^2

Now, using the fact that ED/DF = 135/169, we can substitute ED^2 = (135/169)^2 * DF^2 in the above equation for ED^2, and simplify to get:

(135/169)^2 * DF^2 = 2EX^2 - 26EX + 170

DF^2 = 170 * 169^2 / (135^2 + 2EX^2 - 26EX)

DF^2 = 170 * 169^2 / (135^2 + 2(10^2) - 26EX)   (Substituting XF = 10)

Similarly, we can substitute EY = 5 in the above equation for DF^2 and simplify to get:

FY^2 + DY^2 = 170 * 169^2 / (135^2 + 2(5^2) - 26EY)   (Substituting YF = 5)

DY^2 = 170 * 169^2 / (135^2 + 2(5^2) - 26EY) - FY^2

Substituting the given values, we get:

DF^2 = 170 * 169^2 / (135^2 + 200 - 26EX) = 106.7027

DY^2 = 170 * 169^2 / (135^2 + 50 -

To learn more about equations visit:

https://brainly.com/question/11950137

#SPJ11

Answer: $600 cerados

Step-by-step explanation:

chiii y que marca es esa lol

The ladder has 10 rungs

Let x represent the number of rungs of the ladder

At the start of the question, the fireman is standing at the middle rung of the ladder. This would be represented with 0.5x

Based on the steps taken, the next equation can be formed

A plus sign signifies that the fireman climbed up and a negative sign signifies that the fireman went down the ladder

x = 0.5x + 3 - 5 + 7

Combine similar terms

x - 0.5x =  3 - 5 + 7

0.5x = 5

Divide both sides by 0.5

x = 10

A similar question was solved here: https://brainly.com/question/950483?referrer=searchResults

The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

Learn more about hypothesis testing here: brainly.com/question/17099835

#SPJ11

Answer:

Sorry its a little blurry.

Answer: 20

Step-by-step explanation:

Assuming g(x) = -4x + 1,

( -4 (-4) + 1) - (-4 + 1)

= (16 + 1) - (-3)
= 17 + 3

= 20