-). Express the logarithm in terms of In 3 and In 7.
2401
In
81


Photo attached

Answer:

4

Step-by-step explanation:

14 is 2/3 of 21

6 x 2/3

4

The value of curlF.dS is 72π if the F(x, y, z) = yzi 9xzj exyk, c is the circle x2 y2 = 9, z = 1

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have:

[tex]\rm F(x, y, z) = yzi+ 9xzj+ e^{xy}k[/tex]

And curl is x²+y²= 9 and z =1

In the parametric form:

[tex]\rm \vec{r}(t) = 3cost \vec{i}+3sint \vec{j}+\vec{k}[/tex]  0 ≤ t ≤ 2π

First two component represent the circle and last one represent the z =1

Using Stoke's theorem:

[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = \int\limits_C {\vec{F}} \, .d\vec{r } = \int\limits^{2\pi}_0 {\fec{F}(\vec{r}(t)).\vec(r)t} \, dt[/tex]

Here:

[tex]\rm \vec{F}(\vec{r}(t)) = 3sint \vec{i}+27cost \vec{j}+e^{cost.sint}\vec{k}[/tex]

Now calculate the dot product of curl F and dS we get:

[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = \int\limits^{2\pi}_0 (-9sin^2t+81cos^2t)dt[/tex]

After solving the above integral, we will get:

[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = 72\pi[/tex]

Thus, the value of curlF.dS is 72π if the F(x, y, z) = yzi 9xzj exyk, c is the circle x2 y2 = 9, z = 1

Learn more about integration here:

brainly.com/question/18125359

#SPJ4

Answer:

16 inches/2 feet

Step-by-step explanation:

We already have our ratio of 8:1, so we can multiply this ratio by any number of out choosing and the ratio will still be the same.

Answer:

Read explanation

Step-by-step explanation:

The equation is written as: [tex]3x-5\geq 16[/tex]

You can make it a 2 step equation.

[tex]3x-5\geq 16\\[/tex]

16+5=21

[tex]3x\geq 21[/tex]

21/3

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

         3 times some number decreased by 5 is no less than 16.

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

3n-5≥16

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

              First, notice it says "no less than 16"

So the expression can't be less than 16, so it's greater than or equal to 16.

Now, let the number be n.

Multiply 3 times n:

3n

"Decreased by 5" means you subtract 5:-

3n-5

Inequality:- 3n-5≥15

Solve:

3n-5≥15

3n≥15+5

3n≥20

n≥20/3

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

The area A of a rectangle is A = bh, where b is the base of the rectangle and h is the height. The area of each rectangle with side lengths 1.5 ft and 2 ft is 1.5 × 2 = 3ft2. Since there are two rectangles with these dimensions, the combined area is 2 × 3 = 6 ft2. The area of each rectangle with side lengths 1.5 ft and 2.5 ft is 1.5 × 2.5 = 3.75 ft2. The area of each rectangle with side lengths 2 ft and 2.5 ft is 2 × 2.5 = 5 ft2. Since there are two rectangles of each type, the combined area is 2 × 3.75 + 2 × 5 =17.5 ft2. So, the total surface area of the box is 6 ft2+ 17.5 ft2 = 23.5 ft2

The employee needs to wrap 8 boxes, each with a surface area of 23.5 ft2. So, the combined surface area needing to be wrapped is 8 × 23.5 = 188 ft2. Since there is only 160 square feet of wrapping paper left, the employee will not be able to wrap all of the gifts

The degree of the polynomial f(x) = 2x(x - 3)³(x + 1)(4x - 2) is 6, and the dominant term is - 216x²

The polynomial function is given as:

f(x) = 2x(x - 3)³(x + 1)(4x - 2)

To determine the degree, we simply add the multiplicities.

So, we have:

Degree = 1 + 3 + 1 + 1

Evaluate

Degree = 6

Hence, the degree of the polynomial is 6

We have:

f(x) = 2x(x - 3)³(x + 1)(4x - 2)

Expand

f(x) = 8x⁶ - 68x⁵ + 176x⁴ - 72x³ - 216x² + 108x

The term with the highest absolute value is - 216x²

Hence, the dominant term is - 216x²

Read more about polynomials at:

https://brainly.com/question/4142886

#SPJ1

Answer:

Option 4 (D)

Step-by-step explanation

Text book Formula !

Answer:

The answer would have to be 5 but im not sure cause there are no answer choices.

Step-by-step explanation:

Answer:

1.2 or if you round it is 1

Answer:

1.224744871 or (square root of 6)/2

Step-by-step explanation:

The total number of boxes that can be loaded onto the trailer is 27.

Here we have to determine the maximum number of boxes.

That can be stored in a locker by the volume of one box.

From the given information volume of the box is Vb and the volume f the locker is Vl.

[tex]Volume=Length\times width\times height[/tex]

Therefore we get,

[tex]V_b=4\times3\times2\\V_b=24ft^3[/tex]

The volume of the locker is

[tex]V_L=12\times6\times 9\\V_L=684ft^3[/tex]

Therefore the number of the maximum boxes are

[tex]\frac{VL}{V_b} =\frac{648}{24} \\=27[/tex]

Therefore, The total number of boxes can be loaded onto the trailer are 27.

To learn more about the volume visit:

https://brainly.com/question/1972490

#SPJ1

Answer:

40%

Step-by-step explanation:

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increased by an additional 5 parts. So if the original value increased by 14 percent, the value would increase by 14 for every 100 units, 28 by every 200 units and so on. To make this even more clear, we will get into an example using the percent increase formula in the next section.

Answer:40&!!!!!!

Step-by-step explanation:40%!!!!!!!

Answer:

36

Step-by-step explanation:

Given:

Draw a Venn diagram with 3 intersecting circles. Label each circle:

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

Given:

Enter "5" in the central overlapping section of the Venn diagram.

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

Given:

We know that 5 people bought all 3 bowls, so to find the number who bought a small and large bowl (but not a medium bowl):

⇒ 7 - 5 = 2

Enter "2" in the section S and L but not M.

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

Given:

First, calculate the number of people who bought only a small and medium bowl (but not a large bowl).  We know that 5 people bought all 3 bowls, so subtract 5 from 12.

Enter "7" in the section S and M but not L

A total of 27 people bought a small bowl, so to find the number who bought a small bowl only (not a medium and/or large bowl), subtract the other found numbers from 27:

⇒ 27 - 5 - 2- 7 = 13

Enter "13" in the S only section.

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

Given:

First, calculate the number of people who bought only a large and medium bowl (but not a small bowl).  We know that 5 people bought all 3 bowls, so subtract 5 from 15.

Enter "10" in the section M and L but not S

A total of 66 people bought a medium bowl, so to find the number who bought a medium bowl only, subtract the other found numbers:

⇒ 66 - 5 - 7 - 10 = 44

Enter "44" in the M only section.

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

Given:

To find "L only" subtract all the known numbers from 100:

⇒ 100 - 5 - 2 - 7 - 13 - 10 - 44 = 19

Enter "19" into the L only section.

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

Finally, to work out the total number of people that bought a large bowl, add up the numbers in the L circle:

⇒ 2 + 5 + 10 + 19 = 36

Answer:

a repeating term of .3

Step-by-step explanation:

1/3 = 1 divided by 3

1 divided by 3 = .33333333333333333333

that is called a repeating term

[tex]\frac{1}{3}[/tex] = .3

Answer: 1/3 is .3333333 on going

it cant be a whole number

Answer:

-19.

Step-by-step explanation:

4 + 7 + 9 + 5 - 44

Doing the adds first;

= 25 - 44

= -19.

Answer

5

Step-by-step explanation:

there are already 2 units in height therefore 2 plus 3 is 5

Answer:

prism

Step-by-step explanation:

when all the sides are joined, it will reveal the shape to become a prism.

aboustouly tell me ur problem

Answer:

$60.8

Step-by-step explanation:

Twenty percent of 76 is,

→ 20% of 76

→ (20/100) × 76

→ 1520/100

→ [ $15.2 ]

The reduced price of the item is,

→ 76 - 15.2

→ [ $60.8 ]

Hence, the price is $60.8.

Answer:

60 degrees

Step-by-step explanation:

Triangle = 180 degrees

60+60+X=180

120+X=180

X=60

The probability of not choosing the solid color tie by David's Wife will

be [tex]\frac{2}{3}[/tex].

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Total Number of ties= 4+3+5 =12

Probability of not choosing the solid color tie

=[tex]\frac{Total\; ties- \; Number\; of \;Solid\; ties}{Total\; number \;of \;ties}[/tex]

=[tex]\frac{12-4}{12}[/tex]

= [tex]\frac{8}{12}[/tex]

=[tex]\frac{2}{3}[/tex]

Learn more about probability here:

https://brainly.com/question/2150559

#SPJ1

Answer:

D.(4x2)^2 = 64 not 16

The probability of a success on each roll of the coin that is filipped by Dion is 0.5.

Probability is the likelihood that a stated event would occur. The odds the event occurs is 1 and the odds that the event does not happen is 0. If a coin is flipped, there is 50% chance of getting either a head or a tail.

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ4

Answer:

its c

Step-by-step explanation:

.5 on edge! just took the test

Answer:

It would be 60

Step-by-step explanation:

So 3(3*5 + 5) so 3*5 would be 15, 15+5=20, and 20*3=60

This is really simple if you can't figure this out, you might as well go back to 1st grade and below

pls try before asking

Answer:

11/1024.

Step-by-step explanation:

Binomial Probability distribution.

This is the probability of 9 tails or 10 tails being flipped.

Prob ( 10 tails) = (1/2)^10 = 1/1024

Prob ( 9 tails) = 10C9 * 1/2^9* 1/2 = 5/512

Required probability =  1/1024 + 5/512

= 11/1024.

Step-by-step explanation:

[tex]3.0956 \times {10}^{2} [/tex]

is correct answer

Explanation:

There are 13 hearts, including the queen of hearts. Then there are 3 more queens to get us to 13+3 = 16 cards we're after.

There are 16 cards we want out of 52 total, so the probability is 16/52 = (4*4)/(4*13) = 4/13

The expression equivalent to 5 sqrt 32x5y10z15 is 2xy2z3

Answer:

Step-by-step explanation:

Given the parameters of binomial distribution

We need to find the mean μ and the standard deviation σ to calculate required values

1. Find the mean

2. Find the variance

3. Find the standard deviation

Find the minimum usual value

Find the maximum usual value

Answer:

Min:549.04; Max:591.76

Step-by-step explanation:

The number of years it would take for radium to be 5 grams is 6967 years.

The formula that is used to represent continuous compounding or continuous decay is:

FV = A x [tex]e^{-t}[/tex]  x N

Where:

5 = 100 x e^−0.00043 x t.

In order to determine the value of t, take the following steps:

Divide both sides by 100

5/100 = e^−0.00043 x t.

Then take the In of both sides

= 6967 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/25760893

#SPJ1