Answer quick please :)

Answer:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or [tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

Step-by-step explanation:

Find the magnitude of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]||v||=\sqrt{(2\sqrt{6})^2+(-2\sqrt{2})^2}[/tex]

[tex]||v||=\sqrt{24+8}[/tex]

[tex]||v||=\sqrt{32}[/tex]

Find the direction angle of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]\alpha=tan^{-1}|\frac{-2\sqrt{2}}{2\sqrt{6}}|[/tex]

[tex]\alpha=tan^{-1}|-\frac{\sqrt{3}}{2}|[/tex]

[tex]\alpha=tan^{-1}(\frac{\sqrt{3}}{2})[/tex]

[tex]\alpha=40.89^{\circ}[/tex]

Since [tex]\alpha=40.89^{\circ}[/tex] is our reference angle, we determine our direction angle [tex]\theta[/tex] by verifying our angle is in Quadrant IV, which is where the vector is located. Therefore, [tex]\theta=360^{\circ}-\alpha=360^{\circ}-40.89^{\circ}=319.11^{\circ}[/tex]

To represent a vector's magnitude and direction in trigonometric form, we use the form [tex]v=<||v||cos\theta,||v||sin\theta>[/tex] or [tex]v=||v||cos\theta i+||v||sin\theta j[/tex].

In conclusion, the trigonometric form of the vector is:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or

[tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

Answer:

he spent $18.57 and he can spend $7.43 more

The solution is, he can still spend no more than $6.43.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

Wyatt wants to spend no more than $25 at the grocery store.

He bought a pizza for $7.55 and a cake for $11.02 (including tax).

now, we have to find the inequality that he can use to find how much money he can still spend.

let, we would spend = x

now, we have,

He bought a pizza for $7.55 and a cake for $11.02

so, he had = $ x - ( 7.55 + 11.02)

we have,

x ≥ 25

so, he can still spend ≥ 25 -  ( 7.55 + 11.02)

or, he can still spend ≥ 6.43

i.e.  he can still spend no more than $6.43

Hence, The solution is, he can still spend no more than $6.43.

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The simplified form of the expression [tex]x^2 - 9 / x^2 - 3x[/tex] is:

[tex](x - 3)(x + 3) / x^2 - 3x[/tex]

To simplify the expression [tex]x^2 - 9 / x^2 - 3x[/tex], we can factor the numerator and denominator if possible and cancel out any common factors.

First, let's factor the numerator and denominator:

[tex]x^2 - 9[/tex] can be factored as (x - 3)(x + 3).

[tex]x^2 - 3x[/tex] cannot be factored further.

Now, we can rewrite the expression with the factored form:

[tex](x - 3)(x + 3) / x^2 - 3x[/tex]

Next, we can look for any common factors between the numerator and denominator that can be canceled out. In this case, there are no common factors that can be canceled out.

Therefore, the simplified form of the expression  [tex]x^2 - 9 / x^2 - 3x[/tex] is:

[tex](x - 3)(x + 3) / x^2 - 3x[/tex]

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Answer:

are these exponents or numbers?

Step-by-step explanation:

Answer:

-45

Step-by-step explanation:

19,683

Hope this Helped!

Answer:

D 34

Step-by-step explanation:

i hope you understand

Answer:

Compute the cost of driving for two different job options.

Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.

Job 1

Miles each way 5

What is the cost of driving?

Job 2

Miles each way 50

What is the cost of driving?

The Total cost of driving for both the job 1 and job 2 is $1250 and $1250.

$Driving costs 0.50 dollars per mile.
Driving occurs 250 days per year.50

The statistic is the study of mathematics which deal with relations between comprehensive data.

1) job 1

ways = 5 x 2 miles
Total cost of driving  = total miles x total days x driving cost per miles
 = 10 x 250 x0.50

2) job 2
total cost of driving = 2 x 50 250 x0.5

Thus, The required Total cost of both the job 1 and job 2 is $1250 and $1250

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Answer:

The correct answers are [tex]x < 9[/tex] and any rational number less than 9.

Step-by-step explanation:

Since the inequality represented in the number line has the arrow going towards the left, and has a open/not highlighted circle on 9, that means the inequality represented by the number line is [tex]x < 9[/tex], which means the exact same as any rational number less than 9, so those two choices are the correct answer.

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]Box \ average =\frac{1}{6} \\\\SD = \frac{1}{6} \times \frac{5}{6} = \frac{5}{36} \approx 0.373\\\\Expected \ value= 1000 \times \frac{1}{6} \approx 166.7\\\\SE = 1000 \times 0.373 \approx 11.8\\\\[/tex]

The total number of aces is approximately 167, 12 or more. The SE is 12 out of 1000, which is 1.2 percent.

The percentage of aces is expected to be around 16.67% , or 1.2%.

Answer:

f(g(-3)) = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 1

g(x) = 2x + 1

x = -3

Step 2: Evaluate

Answer:

Option B is correct one

B. 25 square centimeters

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THANK you...

The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

A golden rectangle has a length of 5 cm. Then the width of the rectangle is given as,

W = 5 - 2

W = 3 cm

Then the area of the rectangle will be given as,

A = 5 x 3

A = 15 square centimeters

The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.

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Answer:

11+y > -33

Step-by-step explanation:

Answer:

You wrote

"Which of the following" Meaning there's should be options present.

But Going with the statement...

The sum of 11 and y is greater than -33

I'd say

11 + y > -33.

Answer:

x = 18

mZT = 71º

Step-by-step explanation:

Complementary angles total 90º

(3x + 17) + 19 = 90

Subtract 19 from both sides

3x + 17 = 71

mZT = 71º

Subtract 17 from both sides

3x = 54

Divide both sides by 3

x = 18

Answer: 198 ways

Step-by-step explanation:

Given

A man has 2 suit, 9 shirts, and 11 ties available to select one suit, one shirt, and one tie.

No of ways of selecting 1 suit out of 2 is [tex]^2C_1[/tex]

No of ways of selecting 1 shirt out of 9 are [tex]^9C_1[/tex]

No of ways of selecting 1 tie out of 11 are [tex]^{11}C_1[/tex]

total no of ways of required ways are

[tex]\Rightarrow ^2C_1\times 9C_1\times ^{11}C_1=2\times 9\times 11\\\Rightarrow 198[/tex]

Answer:

A

Step-by-step explanation:

We need to find the correct options which represents the given equation . We can try it out by eliminating the given options , as

So , option A , and D are preferred choices .

Option A is the correct option . ✔️

Answer:

C. The number of hours she babysits

Step-by-step explanation:

In this situation, the number of hours she babysits is the independent variable.

This is because it will directly influence the amount of money that she earns, which is the dependent variable.

For example, working for 1 hour will earn her $15.

So, the correct answer is C. The number of hours she babysits

Answer:

forgot so I have been eating much of my friends are for sure what pic and send you a few weeks I have been a bit but we are not what pic my wife is to inform that

If c is a positive real number, then the graph of

f(x – c) is the graph of y = f(x) shifted to the right

c units.

Horizontal Shifts

If c is a positive real

number, then the

graph of f(x + c) is

the graph of y = f(x)

shifted to the left

Given:  

If a graph  is shifted a units to the left then it becomes  

Here, the graph is shifted 1 unit to the left . On taking a=1, we get graph  

Using formula  , we get

Using formula  , we get

Using distributive property over multiplication i.e  , we get

Therefore,

Answer:

If x= -3 then x^2 will  be positive.

Step-by-step explanation:

we can choose the option by putting x= -3 on each option to see which of them will get us positive value..

x^3 = (-3)×(-3)×(-3) = -27

x^2=  (-3)×(-3)       =  9

2x  =  2 × (-3)   = -6

1/x =  -1/3

Thus from the values above we can see that the If x= -3 then x^2 will  be positive.

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Answer:

I think its 302 cubic feet

Answer:

Step-by-step explanation:

1.C. circumference

2.D. 25.12 decimeters

Solution

C=2πr=2·π·4≈25.13274

3.B. 28.26 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·9≈28.27433m

4.B. 25.12 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274m

5.B. 21.98 meters

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·7≈21.99115m

Answer:

0.9769

Step-by-step explanation:

Given the data :

X : 7.5, 9.9, 4.8, 9, 8.1, 1.7, 3.1

Y : 35, 6, 45, 18, 20, 89, 84

The Correlation Coefficient obtained by using a graphing calculator to model the data above is : 0.9769, this means a strong positive correlation exists between the two variables.

Answer:

aaaaa

Step-by-step explanation:

Answer:

I think it’s A

Step-by-step explanation:

Answer:

7 socks were sold

Step-by-step explanation:

7*8=56

11-7=4

4×11=44

56+44=100

This proves the answer of 7 to be correct

Answer:

Step-by-step explanation:

140 = b * h

140 = b * 10

14 = b