Let u(t) = 2t’i +(2-1); -8k Compute the derivative of the following function, (119 + 2t)uct ) - Select the correct choice below and fill in the answer box(es) to complete your choice. O A. The derivative is the scalar function B. The derivative is the vector-valued function (Dj+ k)

Answer:

b 7

Step-by-step explanation:

open the bracket and the power gets cancelled because it will be 5/5

then answer will be 7 to the power 1 which is equals to 7

Answer: [-6, 8]

Explanation:

The domain is all the possible values on the x-axis, which is [-6, 8]

The difference between the number 45 and 29 is 16 if we use the friendly number, which is 30.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

= 45−29

It is required to solve this with friendly numbers.

Step 1: Use a friendly number for the subtrahend:  29 + 1 = 30

Step 2: Adjust the minuend: 45 + 1 = 46

Step 3: Subtract: The difference is: 46 - 30 = 16

So the 45 - 29 = 16

Thus, the difference between the number 45 and 29 is 16 if we use the friendly number, which is 30.

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The translated figure, 1 unit left and 6 units up, is given at the end of the answer.

The original figure is missing, and is given at the end of the answer.

A transformation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).

Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

The rule for a shift of 1 unit left and 6 units up is given as follows:

(x,y) -> (x - 1, y + 6).

The coordinates of the vertices of the original figure are given by:

(-7, -3), (-2,-4), (-7,-9), (-1,-9).

Hence the coordinates of the vertices of the translated figure are given by:

(-8, 3), (-3,2), (-8,-3), (0,-3).

The translated figure, 1 unit left and 6 units up, is given by the second graph at the end of the answer.

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When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, it forms a hyperbola.

A double-napped cone is a three-dimensional object with two identical nappes, or curved surfaces, that meet at a single vertex. The nappes extend infinitely in both directions away from the vertex.

When a plane intersects the double-napped cone, it cuts through both nappes, resulting in a curve that consists of two separate branches. These branches are symmetrical about the plane that contains the axis of the cone.

The resulting curve, known as a hyperbola, has two distinct arms or branches that open up in opposite directions. The hyperbola is characterized by its center, vertices, asymptotes, and foci. The plane intersects the cone at an angle, which determines the shape and orientation of the hyperbola.

Therefore, when a plane intersects both nappes of a double-napped cone but does not go through the vertex, it forms a hyperbola.

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Answer:

2.6

Step-by-step explanation:

We'll use the Pythagoras theorem to solve this, which states that in a right angle triangle:

h^2 = a^2 + b^2

4^2 = 3^2 +b^2

16= 9 +b^2

16-9= b^2

7= b^2

(take square root in both sides)

b= 2.65

round to nearest 10th = 2.6

answer by Gauthmath

Answer:

Missing side is 2.6

3^2 + x^2 = 4^2

9 + x^2 = 16

-9            -9

x^2 = 7

(\(\sqrt{x}\))^2 = \(\sqrt{7}\)

x = 7

Find the approximation o the square root of 7 in fractions then carry out the long division.

Or

Approx. is 2 3/5 which equals 2 6/10 which equals 2.6

Answer:

Step-by-step explanation:

(x + 4)/(x+4)(x-3)

= 1/(x-3)

solution is option 4

Answer:

c=3

Step-by-step explanation:

Answer:

x = -12

Step-by-step explanation:

3/4x + 12 = 3

3/4x = -9

3x = -36

x = -12

Answer: x < 1

Step-by-step explanation:

Resolvamos tu desigualdad paso a paso.

2x−(x+3)>10x−12

Paso 1: simplifica ambos lados de la desigualdad.

x−3>10x−12

Paso 2: Resta 10x de ambos lados.

x−3−10x>10x−12−10x

−9x−3>−12

Paso 3: Suma 3 a ambos lados.

−9x−3+3>−12+3

−9x>−9

Paso 4: Divide ambos lados entre -9.

−9x/-9 > −9/−9

x<1

¡Espero que esto ayude!

The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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Answer:

N = 7.5 pounds

Step-by-step explanation:

Formula for the radioactive decay is given by,

\(N=N_0e^{-\lambda t}\)

Here, N = Final amount

N₀ = Initial amount

λ = Decay constant

t = Duration of decay

Now we can substitute the values from the given question,

N = \(15e^{-(0.0231\times 30)}\)

N = \(15e^{-0.693}\)

N = 15(0.5)

N = 7.5 pounds

Answer:

betweeeeeeen

Step-by-step explanation:

Answer:

Q36 this is geometry if anyones good at it can someone help me pls

Answer:

\(v = u + 10t \\ v - u = 10t \\ \frac{v - u}{10} = t \: \: or \: \: t = \frac{v - u}{10} \)

Answer:

Step-by-step explanation:

V = U + 10T

0 = U + 10T - V (-v from each side)

-10T = U - V ( -10T from each side)

10T = V - U (X-1 from each side)

T = (V - U)/10 (/10 from each side)

The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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Answer:

4

Step-by-step explanation:

half gallon is 64 oz. 256 ÷ 64 is 4

Answer

4

Step-by-step explanation:

1 gallon = 128 fluid ounces

1/2 gallon = 64 fluid ounces

Use gallons to convert 256 fl oz then multiply result by 2

256 / 128 = 2

2 x 2 = 4

4 half gallon containers

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer: 1/13

Step-by-step explanation:

There are 4 queens of the four different shapes in a standard 52 card deck.

The probability that one will pick a queen from a single draw is therefore:

= 4/52

Take it to its simplest form by dividing both sides by 4:

= 1/13

\(-20d^3 + 55d + 35\)t is the simplified expression in standard form.

First, distribute the -4d across the parentheses:

\(-4d(5d^2-12) = -20d^3 + 48d\)

Then distribute the 7 across the parentheses:

\(7(d+5) = 7d + 35\)

Putting these together, we get:

\(-4d(5d^2-12)+7(d+5) = -20d^3 + 48d + 7d + 35\)

Combining like terms, we get:

\(-20d^3 + 55d + 35\)

Therefore, the simplified expression in standard form is:

\(-20d^3 + 55d + 35\)

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Complete Question:

Simplify the expression. Write your answer in a standard form.

\(-4d(5d^2-12)+7(d+5)\)

Answer:

You can buy 5 CD's

Step-by-step explanation:

59.95 ÷ 11.99 = 5

Equation:

\(11.99x \leq59.95x \leq5\)

Answer:

5 CDS

Here would be the inequality - \/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/

So if you only have $59.95 in your wallet, you can only buy something equivalent to 59.95 or less. If each CD is 11.99, how many CDs can you buy before going over your limit? You can do 59.95÷11.99 to find this answer. It will equal 5. So you can only buy 5 CDs or less. So the equations would be

11.99x≤ 56.95. X≤ 5 

Answer: B) 86°

Step-by-step explanation:

The angles of a triangle always add to equal 180.

So let's call the third angle x and add the other two angles with it.

32+62+x=180

94+x=180

Now we solve for x

Subtract 94 from both sides

94-94+x=180=94

x=86

Answer:

2*(4y² + 9)

Step-by-step explanation:

    8y² = 2 * 2 * 2 * y²

    18   = 2 * 3 * 3

GCF = 2

8y² + 18 = 2* 4y² + 2*9

             = 2*(4y² + 9)

Answer:

Step-by-step explanation:

Answer: it would be 6

Step-by-step explanation:

The spring constant of the spring is k = 1.4 × 10⁴ N m⁻¹

Spring Constant is the measure of stiffness of a spring . The greater this constant , the more force will need to be applied to stretch or compress the string.

According to the question,

The mass of safe : m = 800kg

The height of high duty spring is 1.9 m

According to Hooke's law,

The force applied to a compress a string F is equal to the product of the spring constant k and the displacement of the string x

F= kx ------(1)

According to the Newton's law of motion,

The force of of an object F is equal to the product of the object's mass m and its acceleration a ,  which for a falling object is equal to the acceleration due to gravity

G =  9.8 m s⁻²

Therefore , F = ma =mg (using equation 1)

The force of the falling object is equal to the force applied to the spring => mg = kx

=> k = mg/x

substituting the values of m , x and g

=> k = (800)( 9.8) / 0.58

=> k = 1.4 × 10⁴ N m⁻¹

Hence , the spring constant of a spring is k = 1.4 × 10⁴ N m⁻¹

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It is partially true that the problem with measurement is that researchers cannot account for errors statistically.

During measurements, there is a huge possibility that an error will occur and even no result or measurement can be 100% accurate. This happens due to many factors like mistakes, approximations, and other physical factors.

Coming to the statement, definitely researchers cannot account for errors. This is true, but this is not a problem since it is something that will, for sure, occur. The major goal is towards minimizing it.

So, the given statement is partially true.

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