The derivative of the vector function r(t) = ln(9 – t^2)i + √13+ tj - 3e^{2t}k
r' (t) =

Answer:

<KMN=5°

Step-by-step explanation:

<K+<L=<KMN

81+4x=13x+36

81-36=13x-4x

45=9x(divide both sides by 9)

x=5°=<KMN

Therefore , the solution of the given problem of coordinates comes out to be the right response is option b (-3, -5).

By using one or potentially more elements or coordinates, a reference frame can precisely pinpoint location along with other mathematical elements on this space, including Euclidean space. The coordinates of a point or object in a mirrored plane, which look to be collections of numbers, can be used to find it. The y or x vectors can be used to find a point's location on a double surface. a set of pictures that serve as markers for particular places.

Here,

The y-coordinate changes sign when a point is mirrored across the x-axis (positive becomes negative, and vice versa), but

the x-coordinate stays the same.

Since the x-coordinate stays the same while the y-coordinate changes its value,

the reflection of (-3, 5) across the x-axis would be the point (-3, -5).

the right response is (b) (-3, -5).

To know more about coordinates  visit:

https://brainly.com/question/27749090

#SPJ1

Given:

A line DF and its measure 5x + 7. Measure of DE = 7cm and measure of EQ = 4x + 3.

Required:

Find the length of DF?

Explanation;

From figure we can draw conclusion that

So, length of DF

Answer:

Length of DF = 22cm.

According to the information, the surface area of the pyramids is as follows: 1.377 inches², 2.208 inches², 3.160 inches².

To find the surface area of the pyramids we must perform the following mathematical operations.

A. Find the surface area of the base:

B. We must find the surface area of the faces:

1.

2.

3.

To find the total area of the total surface of the figures we must perform the following procedure:

C. Add the area of the base to the area of the faces:

1.

2.

3.

Learn more about surface area in: https://brainly.com/question/29298005

#SPJ1

The simplification of the following equations will be:\(4\sqrt{3}\ \ 6\sqrt{2}\ \ 20\sqrt{3}\ \ 5\sqrt{5}\ \ 50\sqrt{3}\ \ 24\sqrt{2}\ \ 20\sqrt{7}\ \ 6\sqrt{15}\ \ 40\ \ 21\sqrt{2}\ \ 10\sqrt{11907}\).

Prime factorization is the process of transforming a number into a prime product. A prime number simply has the number itself and the number itself as its two components. The prime numbers, for instance, are 2, 3, 5, 7, 11, 13, and 19. Any integer can be expressed as the sum of prime integers thanks to prime factorization.

\($\sqrt{48} = \sqrt{16 \cdot 3} = \sqrt{16} \cdot \sqrt{3} = 4 \sqrt{3}$\)

\($\sqrt{72} = \sqrt{36 \cdot 2} = \sqrt{36} \cdot \sqrt{2} = 6 \sqrt{2}$\)

\($\sqrt{1200} = \sqrt{400 \cdot 3} = \sqrt{400} \cdot \sqrt{3} = 20 \sqrt{3}$\)

\($\sqrt{125} = \sqrt{25 \cdot 5} = \sqrt{25} \cdot \sqrt{5} = 5 \sqrt{5}$\)

\($\sqrt{98}$\) 98 already has the simplest root form, since it does not have a perfect square factor.

\($\sqrt{7500} = \sqrt{25 \cdot 300} = \sqrt{25} \cdot \sqrt{300} = 5 \sqrt{300} = 5 \sqrt{100 \cdot 3} = 5 \cdot 10 \sqrt{3} = 50 \sqrt{3}$\)

\($6 \sqrt{32} = 6 \sqrt{16 \cdot 2} = 6 \sqrt{16} \cdot \sqrt{2} = 6 \cdot 4 \sqrt{2} = 24 \sqrt{2}$\)

\($10 \sqrt{28} = 10 \sqrt{4 \cdot 7} = 10 \sqrt{4} \cdot \sqrt{7} = 20 \sqrt{7}$\)

\($3 \sqrt{60} = 3 \sqrt{4 \cdot 15} = 3 \sqrt{4} \cdot \sqrt{15} = 6 \sqrt{15}$\)

\($5 \sqrt{64} = 5 \cdot 8 = 40$\)

\($7 \sqrt{18} = 7 \sqrt{9 \cdot 2} = 7 \sqrt{9} \cdot \sqrt{2} = 21 \sqrt{2}$\)

\($\sqrt{1190700} = \sqrt{100 \cdot 11907} = \sqrt{100} \cdot \sqrt{11907} = 10 \sqrt{11907}$\)

So the above are the prime factors of the given equation. Among them, the square root is not exact. 

Learn more about prime factorization here:

https://brainly.com/question/29763746

#SPJ1

Answer:

$10.11

Step-by-step explanation:

Before Tax Price: $9.45

Sale Tax: 7.00% or $0.66

After Tax Price: $10.11

Answer:

9.46

Step-by-step explanation:

divide 9.45 by .07 then add that to 9.45 and round

Answer:

y-3=0(x+4)

Step-by-step explanation:

\(\text{Given that,}\\\\(x_1,y_1) =(-4,3) ~\text{and}~ (x_2,y_2)= (4,3)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{3-3}{4+4} = \dfrac 08 = 0\\\\\\\text{Point - slope form,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 0(x +4)\)

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

Learn more about production

brainly.com/question/31859289

#SPJ11

Answer:

162cm squared

Step-by-step explanation:

The perimeter of a rectangle can be calculated by length+length+width+width.

We know the length is 18, so our equation of finding the width is:

54-(18*2) divided by 2.

54-36=18.

18/2=9.

The area of a rectangle can be calculated by length * width. We already have the length, and now we have the width.

18*9=162

Answer:

128 pounds

Step-by-step explanation:

4/3×96 since €4 is £3

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

Answer:

y=3    x=1

Step-by-step explanation:

Answer:

above one is correct. I think so

The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

To know more about area click-
https://brainly.com/question/28012687
#SPJ1

Jules needs \(30\sqrt{2}\) yards for fencing.

Jules owns a square plot of land that measures 30 yards on each side.

He plans to divide the land in half by building a fence.

How many yards of fencing will Jules need?

Jules owns a square plot of land that measures 30 yards on each side.

The length of each side of yard is, AB = BC = CD = AD = 30 yards.

Then, applying Pythagoras theorem to find the fencing length BD as,

\(\rm BD^2 = BC^2+CD^2\\ \\ BD^2 = (30^2+(30)^2\\ \\ BD^2 = 900+ 900\\ \\ BD^2 =1800\\ \\ BD = \sqrt{1800}\\ \\ BD = 30 \sqrt{2}\)

Hence, Jules needs \(30\sqrt{2}\) yards for fencing.

To know more about Pythagoras Theorem click the link given below.

https://brainly.com/question/26297554

Answer 30/2

Step-by-step explanation:

its right

The rancher has 5,280 acres left after selling off 5 quarter sections.

There are different ways to approach this problem, but one possible method is to convert all the sections and subsections to acres and then subtract the number of acres sold.

One section is equal to 640 acres (1 mile x 1 mile)

One-half section is equal to 320 acres (1/2 mile x 1 mile)

The one-quarter section is equal to 160 acres (1/2 mile x 1/2 mile)

The rancher owns:

8 full sections x 640 acres/section = 5,120 acres

3 half sections x 320 acres/half section = 960 acres

Total = 6,080 acres

The rancher sells off:

5 quarter sections x 160 acres/quarter section = 800 acres

The number of acres left is:

6,080 acres - 800 acres = 5,280 acres

Therefore, the rancher has 5,280 acres left after selling off 5 quarter sections.

Answer: There are 5,280 acres left.

To learn about the selling price here:

https://brainly.com/question/31211894

#SPJ11

Answer:

11

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Plato Users

We are given the following function:

The graph of this equation is a parabola for values of x < 2 and a line for values of 2<= x <= 6. The graph is the following:

In the subgame perfect equilibrium, Janie should begin by taking three coins.

To determine Janie's optimal move, we need to work backwards from the end of the game. If there is only one coin left on the table, the next player (Jesse) will have to take it and Janie wins. Therefore, Janie's goal is to force the game to end with only one coin remaining.

If Janie takes one or two coins at the beginning, Jesse can always mirror her move and take the remaining coins on his turn, leaving one coin for Janie and guaranteeing his victory. If Janie takes four, five, or six coins, Jesse can simply mirror her move and force Janie to be the one left with one coin.

Janie should take three coins initially. This move forces Jesse into a losing position since he can only take between one and six coins. No matter how many coins Jesse takes, Janie can mirror his move and leave him with one coin on his turn, ensuring her victory in the subgame perfect equilibrium.

Learn more about equilibrium here:

https://brainly.com/question/30694482

#SPJ4

Answer:

96

Step-by-step explanation:

im right

The slope of the line containing the points (17,92) and (21,44) is -12

The slope of a line passing through the points \((x_1, y_1)\) and \((x_2,y_2)\) is given as:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

For the line passing through the points (17,92) and (21,44)

\(x_1=17, y_1=92, x_2=21, y_2=44\)

Substitute these values into the slope formula

\(m=\frac{44-92}{21-17} \\\\m=\frac{-48}{4} \\\\m=-12\)

The slope of the line containing the points (17,92) and (21,44) is -12

Learn more on the slope of a line here: https://brainly.com/question/16949303

Answer:

12

Step-by-step explanation:

Divide:

-72/-6= 12

Check:

6x12= 72

add signs: -6x12=-72

Answer:A) 8 miles

Step-by-step explanation:

8 miles

Step-by-step explanation:

Here,

x -20 < 35

or, X<35+20

•X<55

Answer:

E = √(SZ).

Step-by-step explanation:

S=E^2/Z

Multiply both sides by Z:

SZ = E^2

E = √(SZ)

Answer:

8.50 for 2 lb of ham is corecct it is less

Step-by-step explanation:do 4.29+4.29 which eqauls8.58

Answer:

8.50 for 2 pounds is a better deal

Step-by-step explanation:

If you went with 4.29 per pound you would have to pay 8¢ more than 8.50 . You would have to pay 8.58 instead

Answer:

  1×117, 3×39, 9×13, 13×9, 39×3, 117×1

Step-by-step explanation:

The prime factorization of 117 is ...

  117 = 3²·13

Divisors of 117 are 1, 3, 9, 13, 39, 117. Possible formations would be ...

  1×117, 3×39, 9×13, 13×9, 39×3, 117×1

The value of the variable x for the arc angle m∠AB and the angle it subtends at the center of the circle C is equal to 73.

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

Thus:

3x - 46 = x + 98

3x - x = 98 + 46 {collect like terms}

2x = 146

x = 146/2 {divide through by 2}

x = 73

Therefore, the value of the variable x for the arc angle m∠AB and the angle it subtends at the center of the circle C is equal to 73.

Read more about angle here:https://brainly.com/question/24423151

#SPJ1

Answer:

Final answer 35 inches

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Step-by-step explanation:

7 x 12 = 84

3 x 12 = 36

84 - 36 = 48

48 - 13 = 35

Answer:33

Step-by-step explanation:

it’s 33

Since the algae grow exponentially with doubling time of 4 days, then the population will be quadruple in size in 8 days and will be triple in size in  6.34 days.

The easiest way is to consider the situation as a geometric sequence. If the population doubles its size in 4 days, then it will be quadruple in:

2 x 4 days = 8 days.

In general, we can use the growth formula:

P(t) = Po . 2^(t/Td)

Where:

P(t) = population at time t

Po = initial population

Td = doubling time

Parameters given:

Td = 4 days

P(t) = 3Po

Plug those parameters into the formula:

3 Po = Po . 2^(t/4)

3 = 2^(t/4)

log 3 = (t/4) log 2

t = 4 . log 3 / log 2 = 6.34 days.

Learn more about growth formula here:

https://brainly.com/question/27161222

#SPJ4