Find the indicated quantity, given u = (-5, -9), v = (5, -8).Step 3 of 4: Find ||vll - 3. Round your answer to two decimal places.

Answer: its B

Step-by-step explanation:

Answer:

B. (AC)²+(BC)² = (AB)²

Step-by-step explanation:

The Pythagorean Theorem is: a²+b²=c²

Using the lines given, we would get:

(AC)²+(BC)²=(AB)²

The answer that fits this is B. (AC)²+(BC)² = (AB)²

Answer:

41.93 degrees

Step-by-step explanation:

Answer:

9/11, 12/17, 1/8, 2/7 & 23/35

Step-by-step explanation:

Answer:

49π mi^2 or 153.93804 mi^2

Step-by-step explanation:

Imagine the storm is a circle with a point in the center, Coweta. The area of the circle goes 7 miles in all directions from the center, so 7 would be the radius.

The area of a circle is πr^2, where r is the radius, so the answer is

π7^2=

49π mi^2, or

approximately 153.93804 mi^2

Tea is offered to every visitor as a sign of hospitality, and not offering tea would be considered impolite.

A circle is a two-dimensional shape that is defined as a set of all points in a plane that are equidistant from a fixed point called the center. The distance between the center and any point on the circle is called the radius, which is a constant value for all points on the circle.

A circle can be represented by its center point and radius or by its diameter, which is the distance across the circle passing through its center. Circles have several important properties, such as their circumference (the distance around the outside of the circle), their area (the amount of space enclosed by the circle), and their diameter (the longest distance across the circle).

Circles are used in many areas of mathematics, physics, engineering, and other sciences. They are also used in everyday life, such as in the design of round objects like wheels and in the creation of circular patterns in art and architecture.

Based on the passage, the two details that should be included in a summary are:

The Japanese believe that preparing tea is a form of art, and they follow specific methods to prepare and present the tea.

In Japan and China, serving tea to visitors in shops and homes is an extremely important practice of social and political life. Tea is offered to every visitor as a sign of hospitality, and not offering tea would be considered impolite.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

It has no (0) solutions.

Step-by-step explanation:

If you graph the lines, they are parallel, therefore there is no number where they connect.

Answer:

the mode is 9 as it occures the most often so it is D

Answer:

9 is the mode of the data set

Answer:

30

Step-by-step explanation:

hope it helps <3

Answer:

The number of red pencils is 2 times the number of yellow pencils

Answer: 7 seconds

Step-by-step explanation:

Obtain the time after the ball is thrown at the height of 120 feet.

Substitute s = 120 in s = -16t^2 + 112t + 120 and solve for t as follows:

\(\begin{aligned}&120=-16 t^{2}+112t+120 \\&-16 t^{2}+112 t+120-120=0 \\&-16 t^{2}+112t=0 \\&16 t^{2}-112t=0 \\&16 t(t-7)=0 \\&12 t=0, t-7=0 \\&\Rightarrow t=0, t=7\end{aligned}\)

Note that, time cannot be negative or 0. So, ignore t = 0

Therefore, after 7 seconds the ball will reach at a height of 120 feet.

Sevati has 18 magazines in her collection. Sevati's collection of periodicals is represented by the phrase x - 7 = 25.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.  Let's examine the writing of expressions. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases.

given

If x is the alita collection,

then sevati is equal to x - 14 + x = 50.

Sevati's collection of magazines is represented by the formula 2x - 14 = 50, hence the alita collection is equal to 2x = 36

x = 18

Sevati has 18 magazines in her collection. Sevati's collection of periodicals is represented by the phrase x - 7 = 25.

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The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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(a) Given \(f(x) = x^3\), the derivative is

\(f'(x)=3x^2\)

which is exists for all \(x\) in the domain of \(f\), so \(]f\) is differentiable everywhere and satisfies the mean value theorem. There is some number \(c\) in the open interval (0, 2) such that

\(f'(c) = \dfrac{f(2) - f(0)}{2-0} \iff 3c^2 = \dfrac{8-0}2 = 4\)

Solve for \(c\) :

\(3c^2 = 4 \implies c^2 = \dfrac43 \implies \boxed{c = \dfrac2{\sqrt3}}\)

We omit the negative square root since it doesn't belong to (0, 2). Graphically, the MVT tells us the tangent line to the curve \(f(x)=x^3\) at \(x=\frac2{\sqrt3}\) is parallel to the secant line through the endpoints of the given interval.

(b) \(f(x)=1+x+x^2\) has derivative

\(f'(x)=1+2x\)

By the MVT,

\(f'(c) = \dfrac{f(2)-f(0)}{2-0} \iff 1+2c = \dfrac{7-1}2 \implies \boxed{c = 1}\)

(c) \(f(x) = \cos(2\pi x)\) has derivative

\(f'(x) = -2\pi \sin(2\pi x)\)

By the MVT,

\(f'(c) = \dfrac{f(2)-f(0)}{2-0} \iff -2\pi \sin(2\pi c) = \dfrac{0-0}2 \implies \sin(2\pi c) = 0 \\\\ \implies 2\pi c = n\pi \implies c = \dfrac n2\)

where \(n\) is any integer. There are 3 solutions in the interval (0, 2),

\(\boxed{c = \dfrac12, c = 1, c = \dfrac32}\)

(Pictured is the situation with \(c=\frac12\))

Answer:

80 hours

Step-by-step explanation:

let d represent doug, let l represent laura

first, set up a system of equations representing the problem:

since doug spent 10 less than twice the hours laura did, and we know that the total amount of hours they spent together is 230:

l=2d+10

d+l=230

then solve:

*first i rearranged the equations so i can solve this system of equations using elimination method*

l-2d=10

l+d=230

*subtract*

3d=240

d=80

so, doug spent 80 hours in the lab

Answer:

57 thousands

5.7 ten thousands

fifty seven thousand

Answer:

108.90

Step-by-step explanation:

To find its price before the increase you say:

10% of 121 then the answer you subtract it from 121:

10 / 100 * 121 = 12.10

Then subtract 12.10 from 121

121-12.10= 108.90

So the price before the increase was 108.90

HOPE IT HELPED

Answer:

A

Step-by-step explanation:

if you plug in 5 for x into the equation, You add 11+5, then multiply 16 x45 which is 720.

Answer:

A

Step-by-step explanation:

\(45(11 + n) \geqslant 700 \\ \\ 11 + n \geqslant 15.56 \\ n \geqslant 4.56 \\ \)

then the answer is A 5 or more additional students

The number of the different outfits do David have to choose is 768.

Here we will use the concept of Combinations,

Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

Different outfits do Damian have to choose, will be;

⇒ 8C₁×4C₁×8C₁×3C₁

⇒ 8×4×8×3

⇒ 768

Hence, the number of the different outfits do David have to select is 768.

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Answer:

Sorry try using the math tool.... it looks like a square root sign with a x inside of it! :)

\(\sqrt{x}\) <-- pretty much like this one and is at the bottom of your brainly tab :)

It makes things clearer when it comes to these sort of things and eliminates things like, " plus/minus, sqrt, Linedx, 2 Line Line 7 Line 8x = 4x =6

Hope this helps :)

Step-by-step explanation:

Answer:

Steps:

-x²+10x-21 = 0

x = (-10±√(10²-4×(-1)×(-21)))/2×(-1)

x = (-10±√(100-84))/-2

x = (-10±√16)/-2

x = (-10±4)/-2

x = (-10-4)/-2 , x = (-10+4)/-2

x = -14/-2 , x = -6/-2

x = 7 , x = 3

Luis did not solve the equation properly!

Answer: 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

Answer:

The size of the investment after 40 years is of $74,872.

Step-by-step explanation:

Continuous compounding:

The amount of money, in continuous compounding, after t years, is given by:

\(y(t) = y(0)(1+r)^t\)

In which y(0) is the initial investment and r is the interest rate, as a decimal.

You decide to continuously invest $5000 of your income each year in a risk-free investment with a 7% yearly interest rate compounded continuously.

This means that \(y(0) = 5000, r = 0.07\). So

\(y(t) = y(0)(1+r)^t\)

\(y(t) = 5000(1+0.07)^t\)

\(y(t) = 5000(1.07)^t\)

What is the size of your investment after 40 years?

This is y(40), that is, y when t = 40. So

\(y(t) = 5000(1.07)^t\)

\(y(40) = 5000(1.07)^{40}\)

\(y(40) = 74872\)

The size of the investment after 40 years is of $74,872.

Answer:

oh well thanks

Step-by-step explanation:

9514 1404 393

Answer:

  360°

Step-by-step explanation:

The sum of exterior angles of any convex polygon is 360°.

__

You can see this if you draw each external angle, then reduce the side lengths of the polygon to zero. You will see that the angles add up to one full turn, or 360°.

\( \rightarrow4 \times \frac{3}{5} = 12 \times \frac{1}{5} \\ \)

\( \rightarrow \frac{12}{5} = \frac{12}{5} \\ \)

\( \rightarrow \: lhs \: = \: rhs\)

Hence , 4 x 3/5 =12 ×1/5

Let's see

We know

So

Hence verified

For the given recursive formula of the sequence , the value of A₈ = -17.

As given in the question,

Recursive formula of the sequence is given by,

Aₙ = 2Aₙ₋₁  - 3Aₙ₋₂

And the value of

A₁ = -1 , A₂ = 1

Substitute the n = 3 , 4, 5, 6, 7, 8  in the recursive formula to get the value of A₈ we have,  

A₃ = 2A₂ - 3A₁

    = 2(1) -3(-1)

    = 5

A₄= 2A₃ - 3A₂

    = 2(5) - 3(1)

    = 7

A₅ = 2A₄ - 3A₃

    = 2(7) - 3(5)

    = -1

A₆ = 2A₅ - 3A₄

    = 2(-1) - 3(7)

    = -23

A₇ = 2A₆ - 3A₅

   = 2(-23) - 3(-1)

   = -43

A₈ = 2A₇ - 3A₆

    = 2(-43) - 3(-23)

    = -17

Therefore, for the given recursive formula of the sequence , the value of A₈ = -17.

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