Perform the operation. (-7x^2+3)-(-4x-3)

The unit tangent vector is T(u) and the unit normal vector is N(t) if the  vector function. R(t) is equal to 9 2 t, e9t, e−9t.

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

We have vectored function:

[tex]\rm R(t) = (9\sqrt{2t}, e^{9t}, e^{-9t})[/tex]

Find its derivative:

[tex]\rm R'(t) = (9\sqrt{2}, 9e^{9t}, -9e^{-9t})[/tex]

Now its magnitude:

[tex]\rm |R'(t) |= \sqrt{(9\sqrt{2})^2+ (9e^{9t})^2+ (-9e^{-9t})^2}[/tex]

After simplifying:

[tex]\rm R'(t) = 9 \dfrac{e^{18t}+1}{e^{9t}}[/tex]

Now the unit tangent is:

[tex]\rm T(u) = \dfrac{R'(t)}{|R'(t)|}[/tex]

After dividing and simplifying, we get:

[tex]\rm T(u) = \dfrac{1}{e^{18t}+1} (\sqrt{2}e^{9t}, e^{18t}, -1)[/tex]

Now, finding the derivative of T(u), we get:

[tex]\rm T'(u) = \dfrac{1}{(e^{18t}+1)^2} (9\sqrt{2}e^{9t}(1-e^{18t}), 18e^{18t}, 18e^{18t})[/tex]

Now finding its magnitude:

[tex]\rm |T'(u) |= \dfrac{1}{(e^{18t}+1)^2} (9\sqrt{2}e^{9t}(1-e^{18t})^2+ (18e^{18t})^2+( 18e^{18t})^2)[/tex]

After simplifying, we get:

[tex]\rm |T'(u)|= \dfrac{9\sqrt{2}e^{9t}}{e^{18t}+1}[/tex]

Now for the normal vector:

Divide T'(u) and |T'(u)|

We get:

[tex]\rm N(t) = \dfrac{1}{e^{18t}+1} ( 1-e^{18t}, \sqrt{2}e^{9t}, \sqrt{2}e^{9t})[/tex]

Thus, the unit tangent vector is T(u) and the unit normal vector is N(t) if the  vector function. R(t) is equal to 9 2 t, e9t, e−9t.

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Answer:

it is easy it is 3833

Step-by-step explanation:

The money saved by Raj from the given conditions is $950.

Given that, Raj, Devi and Miko have managed their savings well.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The ratio of Devi to Miko's savings is 3:11.

So, Devi's saving is 3x and Devi to Miko's savings is 11x.

The sum of Raj and Devi's savings is $1181. Raj and Miko's savings sum up to $1797.

Let y be the Raj's saving.

Now, y+3x=1181 --------(I) and y+11x=1797 --------(II)

From equation (I), y=1181-3x

Substitute y=1181-3x, in equation (II), we get

1181-3x+11x=1797

⇒ 8x=1797-1181

⇒ 8x=616

⇒ x=616/8

⇒ x=77

So, y=1181-3x=1181-231

=$950

Hence, the money saved by Raj from the given conditions is $950.

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Answer:

The same way you tell if a parabola opens up or down, by the leading coefficient of the variable.

Step-by-step explanation:

Since the x-axis is positive to the right, a positive leading coefficient (3) means it opens to the right. eg. And a negative leading coefficient (-2) means it opens to the left.

Answer:

the measure of F is 24

Step-by-step explanation:

1. 180-90=90-66=24

Step-by-step explanation:

these are 2 similar triangles.

that means they have the same angles. and all sides have the same scaling factor between the 2 triangles.

so,

10/28 = 5/h

Answer:

Step-by-step explanation:

Consider this solid as combination of two prisms, one with recrangular base and another with trapezoid base.

Find the area of bases

Rectangle

Trapezoid

Find the total base area

Find the volume

Answer:10

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of the arc on the unit circle is 3.67 units

The angle measure is given as:

x = 7π/6

The radius of a unit circle is:

r = 1

The length of the arc is calculated using:

L =rx

So, we have:

L = 1 * 7π/6

Evaluate

L = 3.67

Hence, the length of the arc on the unit circle is 3.67 units

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what do you mean package c explain more

Answer: 11

Step-by-step explanation:

Answer:

443.666

Step-by-step explanation:

because i used a caulculator boiiiiiiii

Answer:

x = 5/3

General Formulas and Concepts:
Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify given.

y = 3x - 2

y = 3

Step 2: Solve for x

∴ the value of x when y = 3 is equal to 5/3, or approximately 1.67.

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Topic: Algebra I

The total surface area of the cone with the given radius and slant height in terms of pi is 70πcm².

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The total surface area of a cone is given by its curved surface area plus area of its base.

Total surface area = curved surface area + area of base

Total surface area = πrl + πr²

Given that;

Total surface area = πrl + πr²

Total surface area = ( π ×  5cm × 9cm ) + ( π × (5cm)² )

Total surface area = 45πcm² + 25πcm²

Total surface area = 70πcm²

Therefore, the total surface area of the cone with the given radius and slant height in terms of pi is 70πcm².

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Answer:

70

Step-by-step explanation:

Answer:

Correct answer is option D

Biology textbooks: 121

Sociology textbooks: 242

Answer:

B=208.72

Step-by-step explanation:

June 22

July: 22+ 22x (1+10%) = 46.2

Auq: 46.2+ 22 (1+10%) x (1+10%)= 72.82

Sep: 72. 82+ 22 (1+10%)³= 102.102

Oct: 102.102 + 22 x(1+10%)⁴= 134.3122

Nov: 134.3122 + 22×(1+10%)⁵= 169.74342

Dec:169.74342 +22(1×10%)⁶ =208.717762

=208.72

The calulation of Compound interest )

Answer:

Here is the solution...hope it helps :)

Answer:

Given function:

f(t) = (-16t - 2)(t - 1)

The zeros of the function are the values of t when f(t) = 0

⇒ f(t) = 0

⇒ (-16t - 2)(t - 1) = 0

⇒ (t - 1) = 0  ⇒  t = 1

⇒ (-16t - 2) = 0  ⇒ t = -2/16 = -1/8

The zeroes tell us the time (in seconds) when the ball is at ground level (when its height is zero).

Since time is not negative, only one zero is meaningful:  t = 1

Therefore, the total journey of the ball, from throwing it to it hitting the ground, is 1 second.

The height the ball is thrown can be determined by inputting t = 0 into the function:

⇒ f(0) = (-16(0) - 2)(0 - 1)

⇒ f(0) = (0 - 2)(0 - 1)

⇒ f(0) = (-2)(-1)

⇒ f(0) = 2

Therefore, the height from which the beach ball is thrown is 2 ft.

Equation: y = (-16t-2)(t -1)

1) Finding zeros of the function?

To find zero's of the function y = 0

(-16t-2)(t -1) = 0

-16t - 2 = 0, t - 1 = 0

t = 2/-16, t = 1

t = -0.125, 1

2) What do the zero's tell us? Are they meaningful?

Answer: It tells us that the time is 1 seconds when the height of the ball is 0 or at rest.

3) From what height is the ball thrown?

Insert t = 0

y = (-16(0)-2)((0) -1)

y = 2

Ball thrown from 2 feet.

Answer:

follow me:)

First we have to increase it by 10%

110 multiplied by 260 divided by 100 becomes 286

Then a 10% reduction that becomes 90% 286 that becomes

286 multiplied by 90 divided by 100

257.4

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = 3.14 \times {2}^{2} \times 3[/tex]

[tex]v = 37.68 \: {cm}^{3} [/tex]

[tex]v = lwh[/tex]

[tex]v = 6 \times 5 \times 7[/tex]

[tex]v = 210 \: {cm}^{3} [/tex]

[tex]v = 37.68 + 210[/tex]

[tex]v = 247.68 \: {cm}^{3} [/tex]

cylinder:

pi r^2 h

=3.14*2^2*3

=37.68 cm^3

prism:

whl

=6*5*7

=210 cm^3

all together:

=247.68 cm^3

Answer:

23.9 ft (nearest tenth)

Step-by-step explanation:

Use the sine trig ratio to find the length of the ramp.

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

Given:

Substituting the given values into the formula and solving for H:

[tex]\implies \sf \sin(4.8^{\circ})=\dfrac{2}{H}[/tex]

[tex]\implies \sf H=\dfrac{2}{\sin(4.8^{\circ})}[/tex]

[tex]\implies \sf H=23.9\:ft\:(nearest\:tenth)[/tex]

Answer:

2

Step-by-step explanation:

First find out what tan45 means then what sin30 means so tan45=1 and sin30=0.5, 1/0.5=2

The evaluation tan45°/sin30° is 2.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

given that  tan45°/sin30°

Since   tan45° is 1 and sin30°  is 0.5 so

By that 1/0.5 which comes out as 2.

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Answer:

197.4 yd squared

Step-by-step explanation:

7*7 = 49

10.6*7*2 = 148.4

148.4 + 49 = 197.4

Answer:

1. A. 1 gallon = 4 quarts

2. B. 1 kiloliter = 1,000 liters (hint for remembering is that kilo- means thousand)

3. D. 1 pint = 2 cups

4. E. 1 liter = 1,000 milliliters

5. C. 1 cup = 8 oz

6. D. 1 quart = 2 pints

Step-by-step explanation:

Best of luck with the school year, you can do it!

The company has decided to redesign the box it uses to hold one dozen donuts, the circumference of a donut is 3π inches or approximately 9.42 inches (rounded to two decimal places).

The circumference is the distance around the edge of a circle or any circular object. It is calculated using the formula:

C = 2πr

To find the circumference of a donut, we need to first find the diameter. The diameter of each donut is 3 inches, so the radius is 1.5 inches. The circumference can then be found using the formula:

C = 2πr

where C is the circumference and π is approximately 3.14.

Substituting the radius, we get:

C = 2π(1.5) = 3π

Therefore, the circumference of a donut is 3π inches or approximately 9.42 inches (rounded to two decimal places).

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Answer:

All of the views will be rectangles. The front view will be a rectangle 8 squares wide and 5 squares tall. The side view will be a rectangle 4 squares wide and 5 squares tall. The top view will be a rectangle 8 squares wide and 4 squares tall.

Step-by-step explanation:

Answer:

The graph is symmetric about the origin.

The graph does not pass through the origin.

Step-by-step explanation:

We're given:

Because a = 1, then the given function can be rewritten as y = n.

The function y = n will produce a horizontal line. Any function in the form of y = a single number, such as 4 or 9.3 will produce a horizontal line.

This is true, given the graph is a horizontal line.

This is also true. We're given that n is an odd number. The graph will only pass through the origin if n = 0, and 0 is even.

This would only be true when n = 0, and this isn't possible. So, no.

Answer:

B: The graph is symmetric about the origin

Step-by-step explanation:

you typed the question in wrong its ax^n not axn, which makes the answer above incorrect. this should be the right one on edge.