What is the direction of the vector [tex]r(t)=(1,\sqrt{3} )[/tex]?

1

[tex]\sqrt{2}[/tex]

pi/6

pi/3

Answers

Answer 1

Answer:

π/3

Step-by-step explanation:

The vector is in the first quadrant.  The angle is:

tan⁻¹(√3 / 1) = π/3


Related Questions

If the original quantity is 10 and the new quantity is 13​, what is the percent​ increase?

Answers

Answer:

30%

Step-by-step explanation

13 is a 30% increase of 10.

Answer:

30% increase

Step-by-step explanation:

subtract original quantity from new quantity: 13 - 10 = 3

divide the difference by original quantity: 3/10 = 0.30

convert that result to percentage by moving decimal place over twice to the right.

You're done! Answer = 30%

Find the slope between:
(4, -1)
(-2,4)

Answers

Answer:

-5

----

6

Step-by-step explanation:

y2-y1

-------

x2-x1

-1-4 -5

------ = ---

4--2 6

~Anna

Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism cm20, wide by cm28, long. Whitney puts 1848 cm cubed of batter into the pan.

Answers

Answer:

3.3 cm

Step-by-step explanation:

Volume of a rectangular prism =Length X Width X Height

Volume of the cake batter [tex]=1848cm^3[/tex]

The cake pan is a right rectangular prism 20cm wide by 28cm long.

Therefore:

1848=20 X 28 X Depth

1848=560 X Depth

Depth=1848/560

Depth of the batter=3.3 cm

The batter is 3.3cm deep in the pan.

Find the 90th term of the arithmetic sequence 16 , 21 , 26

Answers

Answer:

The 90th term of the arithmetic sequence is 461.

Step-by-step explanation:

Arithmetic sequences concepts:

The general rule of an arithmetic sequence is the following:

[tex]a_{n+1} = a_{n} + d[/tex]

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

[tex]a_{n} = a_{1} + (n-1)*d[/tex]

In this question:

[tex]a_{1} = 16, d = 21 - 16 = 26 - 21 = 5[/tex]

So

90th term

[tex]a_{90} = a_{1} + (90-1)*d[/tex]

[tex]a_{90} = 16 + 89*5[/tex]

[tex]a_{90} = 461[/tex]

The 90th term of the arithmetic sequence is 461.

Which of the ordered pairs is
4x – 1= 3y + 5

Answers

ANSWER IS ONE THE SHEET

hope this help

If a population of a certain type of animal has a mean of 44cm and a standard deviation of 3 cm what is the z-score for a member of the population witha height of 38cm

Answers

Answer:

The z-score is -2

Step-by-step explanation:

Here, we are asked to calculate the z-score of the height.

Mathematically, we can calculate z-score by using the formula below;

z-score = (x-mean)/SD

According to this question, mean = 44cm and SD = 3cm with x here = 38cm

Plugging these values into the z-score equation, we have

z-score = (38-44)/3 = -6/3 = -2

What is the lcm of 3,8

Answers

Answer: 24

Step-by-step explanation: The LCM of 3 and 8 is 24.

3 6 9 12 15 `18 21 24

8 16 24

What has a value closest to 9?

Answers

Answer: i think 83?"?"?

Find F(-2)
F(x)=5^x
A=1/25
B=1/10
C=-10
D=-25

Answers

F(-2) when F(x)=5^x is 1/25

Lilly saw a jellyfish at 6 feet below sea level.She saw a bright blue fish at 10 feet below sea level. What is the distance between the blue fish and the jellyfish

Answers

Answer:

Step-by-step explanation:

4 feet

Answer:

It would be 4 feet because 6-10 is 4 its really easy

Step-by-step explanation:

I hope i helped?

i need help with this questions can someone please help me

Answers

Answer:

pupil question:

3 6 1

3 have brothers

6 have both

1 has sisters

Step-by-step explanation:

3+6+1+2=12

Which of the following relations describes a function?
A.
{ (3, -1), (3, 1), (4, -1), (4, 1) }

B.
{ (-3, -4), (-4, -3), (3, 4), (4, 3) }

C.
{ (3, 3), (3, 4), (4, 3), (4, 4) }

D.
{ (0, 0), (0, 3), (3, 0), (3, 3) }

Answers

The answer is “B” because a function happens when one input has exactly one output, or if each x-value has one y-value

Answer:

B

Step-by-step explanation:

Answer as soon as you see this. I need lots of help

Answers

Answer:

GFD = 132.7

Step-by-step explanation:

JIF and GFD are same side interior angles  and when the lines are parallel, same side interior angles are equal

JIF = 132.7  so GFD = 132.7

In the diagram shown, we are given that JIF and GFD are parallel lines. However, these lines are also same side interior angles. This means that they will be equal to each other since they are parallel lines. Remember, parallel lines are coplanar lines that do not intersect.

So if JIF = 132.7°, then GFD also measures 132.7°.

What is the speed of a wave with a frequency of 2 Hz and a wavelength of 87 m

Answers

Answer:

174 m/s

Step-by-step explanation:

Formula: velocity = frequency x wavelength

V = 2 x 87

V = 174

Hope that helps!

Answer:

174

Step-by-step explanation:

Did the test

What is the quadratic regression equation that fits these data?
x. y
-4 35
-3 20
-2 12
-1 6
0 2
1 6
2 10
3 24
4 38

Answers

Answer:

y = 2.09x2 + 0.33x + 3.06

Step-by-step explanation:

just did the T3ST :)

The equation that represents the quadratic regression is y = 3.06 + 0.33x + 2.09x².

To find the quadratic regression equation that fits these data:

First, we determined the following values,

mean of x = 0

mean of y = 17

the correlation coefficient r = 0.9960376489

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, r stands for the coefficient.

A = 3.060606061

B = 0.3333333333

C = 2.090909091

And the quadratic regression can be modeled by the Quadratic regression: y=A+Bx+Cx².

Therefore, the equation is y = 3.06 + 0.33x + 2.09x².

To learn more about the correlation coefficient;

https://brainly.com/question/15577278

#SPJ7

what's 4.54 rounded to the nearest tenth?​

Answers

Answer:

4.5

Step-by-step explanation:

have a nice day :)

Answer:

4.5

Step-by-step explanation:

when rounding, if the previous number is over 5 you round up or if it's under 5, you stay the same. the tenths spot is the first after the decimal and the next number 4 so you would stay the same.

100 points. Easy question.
Topic: Adding and Subtracting fractions.

ONLY DO QUESTION 8 NOT 9 AND 10

Answers

Answer:

17 1/8 km

Step-by-step explanation:

6 7/8 + 5 1/2 + 4 3/4

The common denominator is 8

6 7/8 already has a denominator of 8

5 1/2 = 5 1/2*4/4 = 5 4/8

4 3/4 *2/2 = 4 6/8

6 7/8 + 5 4/8 + 4 6/8

15 17/8

15 + 8/8+ 8/8+1/8

15 + 1 + 1 + 1/8

17 1/8

Answer:

[tex]\boxed{17\frac{1}{8} \ \sf{km}}[/tex]

Step-by-step explanation:

6 7/8 + 5 1/2 + 4 3/4

Turn to improper fractions.

55/8 + 11/2 + 19/4

Make denominator equal by LCM.

55/8 + 44/8 + 38/8

Add fractions because they have same denominators.

137/8

Turn to mixed fraction.

17 × 8 = 136   + 1

17 1/8

The circumference of a circular field is 163.28 yards. What is the radius of the field? Use 3.14 for π and do not round your answer.

Answers

Answer:

r = 26

Step-by-step explanation:

C = 2 π r

163.28 = 2 (3.14) (r)

163.28 / 2 / 3.14

26 = r

Answer:

26 yards

Step-by-step explanation:

2πr=163.28

2×3.14×r=163.28

r=163.28÷6.28=26 yards

HELP PLZ 12+points
Select the correct answer from the drop-down menu.
Luther and Nelson are seniors on the school basketball team. The box plots represent the number of points they scored in 20 randomly selected games.

The number of points Nelson scores in each game is generally__?___ the number of points Luther scores in each game.

CHOICES FOR THE BLANK:
A)greater than
B)less than
C)the same as

Answers

Answer:

more than

Step-by-step explanation:

Answer: (A ) greater than

Step-by-step explanation:

The answer is greater than the number Of points Luther scores in each game

All you have to do is count the little lines and wherever the little end part of the line in box ends is the number of points he gets a game so Nelson is 24 points and Luther is 19 points.

A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
How many trays does he need?

Answers

Answer:

A farmer has 180 eggs.

He stores them in trays.

Each tray holds 30 eggs.

Then he would need 180/30 = 6 trays.

Hope this helps!

:)

Need help ASAP. WILL MARK BRAINLIEST

Answers

Answer:it is b2 I took the test

Step-by-step explanation:

Now mark me braunliest

What is the equation of the line through (2, -4) and (0, 4)

Answers

Answer:

Step-by-step explanation:

(4+4)/(0-2)= 8/-2 = -4

y + 4 = -4(x - 2)

y + 4 = -4x + 8

y = -4x + 4

Answer:

y = -4x + 4

Step-by-step explanation:

took this on A P E X, hope it helps

Suzanne folded 12 towels. If Allison folded 4 times as many towels as Suzanne, which number sentence shows how many towels Allison folded? A. 12 × 12 = 144 B. 4 × 12 = 48 C. 4 × 4 = 16 D. 12 + 4 = 16

Answers

Answer:

B

Step-by-step explanation:

Let's use S for Suzanne

A for Allison

S= 12

4s = A

4 x 12 =48

During a period of 30 seconds, a scuba diver changed her depth by –150 feet. Determine the average change in depth per second.

Answers

Answer:

I think it might be five feet

Step-by-step explanation:

I'm smart<3

The average change in depth is 5 feet/ second.

It is required to find the average change in depth per second.

What is slope?

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

[tex](x_{1} ,y_{1} )=(0,0)\\\\(x_{2} ,y_{2} )=(30,150)\\\\[/tex]

Scuba diver's rate of change

[tex]m=\frac{150-0}{30-0} \\\\m=5[/tex]feet/sec.

Therefore, the average change in depth is 5 feet/ second.

Learn more about slope here:

https://brainly.com/question/16476489

#SPJ2

Which rule describes the relationship between the x- and y- coordinates on line m?
Choose one answer:
A) y = x + 1
B) y = 2x + 1

Answers

Answer: My bad I don’t know how to teach it but it’s B

Real World Problems with Rational Numbers
26
Directions: Drag each point to the correct location on the number line.
Jean climbed 3 of the distance to the top of the cliff as shown on the number line. Terry climbed 3 of the distance less than Jean.
Steve climbed 5 of the distance more than Jean. Drag the points to the correct locations on the number line.
Terry
Steve
1

Answers

Answer:

aiaavaobsoavvdiabajiaveoaveugwviaoqjavdjoagw

help please, give me the best possible answer you guys got
:)

Answers

Answer:

(i) (4, 0)

(ii) -2

Step-by-step explanation:

y = 4 + 3x - x^2

(i)

At point A, y = 0

4 + 3x - x^2 = 0

x^2 - 3x - 4 = 0

(x - 4)(x + 1) = 0

x - 4 = 0 or x + 1 = 0

x = 4 or x = -1

The x-coordinate of point A is positive, so it is 4.

The coordinates of point A are (4, 0).

(ii)

y = mx + 8

We know point (4, 0) is on the line, so we substitute 4 for x and 0 for y and solve for m in the slope equation.

0 = m(4) + 8

4m = -8

m = -2

2. 2x - y = 6,
- x + y = -1

Answers

Answer:

x = 5

y = 4

Step-by-step explanation:

just substitute the value of one variable into the other

-x +y = -1

or y = -1 +x   <-------- (i just added x to the right side)

now u know what y is equal to, just substitute that value into the first equation

2x - (-1+x) = 6     <-------- instead of y, i put the value of y from the 2 equation

NOW SOLVE FOR X!

2x +1 -x = 6

x + 1 = 6

x = 5

now solve for y since you have the value of x

y = -1 + x

or y = -1 + 5

y = 4

Answer:

y=3.166     x=4.166

Step-by-step explanation:

Kobe’s birthday is in July and it is always hot. This year, he wants to have popsicles as a cool snack. If Kobe expects 90 people to be at the party, does it make more sense to buy 100 pack of popsicles or multiple 16-packs?

Answers

Answer:

100 pack

Step-by-step explanation:

Well first just calculate the cost. 16 * 6 = 96

1.75 * 6 = 10.5

100 popsicles is cheaper.

100 pack then just save the last 10

3. A publisher printed 30,000 copies of an edition of a book. Each copy of the book cost the publisher 45Gp to produce and it is sold to the public for 76Gp. The publisher agrees to pay the author 10% of the selling price of the first 6000 copies sold, and 12% of the selling price for all copies sold in excess of 6000. Altogether 25,300 copies of the book are sold. Calculate, correct to the pesewa: I) the total amount received by the author

Answers

Answer:

The total amount received by the author is of 221,616Gp.

Step-by-step explanation:

25,300 copies sold.

For the first 6000, he receives 10% of the selling price of 76 Gp.

For those in excess of 6000, that is, the next 25300 - 6000 = 19300, he receives 12% of the selling price of 76 Gp.

Total amount received by the author:

6000*0.1*76 + 19300*0.12*76 = 221,616

The total amount received by the author is of 221,616Gp.

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