Find the angle between u=
= (8,- 2) and v= (9,3). Round to the nearest tenth of a degree.
A 32.5
B 6.3
C 42.5
D 16.3

Answer:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b[/tex]

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Answer:

[tex]x + 90 \degree + 57\degree = 180\degree \\ x = (180 - 57 - 90)\degree \\ x = 33\degree[/tex]

[tex]y = 2[/tex]

Answer:

1. 30 in

2. 273 mi

3. 248 m

Step-by-step explanation:

For the first circle, you are given the radius. Multiply that by 2 in order to get 30.

For the second circle, you are given the diameter. Divide that by 2 to get 273.

For the third circle, you are given the radius. Multiply that by 2 in order to get 248.

Answer:

THE LAST THREE ARE THE ANSWERS

Step-by-step explanation:

Answer:

0.22

Step-by-step explanation:

defective rate is 7 out of 100

defective rate of 4, or 3, or 2, or 1 defective is:

7/100 + 6/99 + 5/98 + 4/97 ≈ 22/100

The required probability for fewer than 5 defective rate is 0.10

An industrial machine produces widgets, but it has a 0.07 defective rate.

What is the probability?

Probability, can be define as the ratio of favorable events to the n number of total events.

defective rate fewer than 5

p of 4 defective + p for 3 defective+ p for 2 defective + p for  1 defective.

total p = 4/100 + 3/99 + 2/98 + 1/97 ≈ 0.10

Thus, The required probability for fewer than 5 defective rate is 0.10

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

ion know

Step-by-step explanation:

7/10 + 1/5 =

7/10 + 2/10  (1/5 x 2 = 2/10) = 9/10

10/10 - 9/10 = 1/10

therefore, 1/10 of the class rides on the school bus.

Answer:

70

Step-by-step explanation:

35 because the 4 segments have to total to 180

Answer:

At the start the total number is 10, male fish = 6

At the second time the total number is 9, male fish = 5

Probability of two male fish is:

Answer:

Y=X+1=2+1=3

Step-by-step explanation:

{

X

=

2

Y

=

3

Explanation:

Combining the two equations, we find:

2

X

−

1

=

Y

=

X

+

1

Subtract

X

from both ends to get:

X

−

1

=

1

Add

1

to both sides to get:

X

=

2

Then:

Y

=

X

+

1

=

2

+

1

=

3

Answer:

C. 4

Step-by-step explanation:

have a nice day! :)

Answer: B  - 3 3/4 cubic inches

Step-by-step explanation:

A = BH; B = wl

2 * 1 1/4 = B

B = 2 1/2

H = 1 1/2

2 1/2 * 1 1/2 = 3 3/4

Answer:

what is question 10?

Step-by-step explanation:

Answer:

∫ F dr= 1

c

Step-by-step explanation:

The correct question is -

Given - [tex]F = < \frac{sec^{2} x}{y} , - \frac{tan x}{y^{2} }>[/tex] and C : (0, 1) to [tex](\frac{\pi }{4} , 1)[/tex]

To find - Evaluate and input the result of the following integral.

Proof -

We know that,

dr = dx i + dy j

F = < F1, F2 >

Now, we know

[tex]d(\frac{tanx}{y }) = \frac{d}{dx}(\frac{tanx}{y}) + \frac{d}{dy}(\frac{tanx}{y})[/tex]

So,

[tex]\frac{d}{dx}(\frac{tanx}{y}) =\frac{1}{y} \frac{d}{dx}({tanx}) \\\\ = \frac{sec^{2} x}{y} \\\frac{d}{dy}(\frac{tanx}{y}) = tanx \frac{d}{dy}(y^{-1}) \\ = -\frac{tanx}{y^{2} }[/tex]

Now,

We can see that,

[tex]d(\frac{tanx}{y }) = \frac{sec^{2} x}{y} dx - (\frac{tanx}{y^{2} })dy[/tex]

So,

[tex]\int\limits^{}_C {F. dr} = \int\limits^{}_C d(\frac{tanx}{y} )\\= [\frac{tanx}{y} ]\limits^{(\frac{\pi }{4} ,1)}_{(0,1)}\\= [\frac{tanx}{y} ]\limits^{}_{(\frac{\pi }{4} ,1)} - [\frac{tanx}{y} ]\limits^{}_{(0,1)}\\= \frac{tan(\frac{\pi }{4} )}{1} - \frac{tan 0}{1}\\= 1 - 0\\= 1[/tex]

∴ we get

∫ F dr= 1

c

9514 1404 393

Answer:

  one solution

Step-by-step explanation:

There will be one solution if the left-side x-coefficient is different from the right-side x-coefficient.

Simplifying, we get ...

x + 1/2x -2 = 1/2x +6x -12

3/2x -2 = 13/2x -12

The left-side coefficient is 3/2, which is different from the right-side coefficient of 13/2. The equation will have one solution.

__

Add 12-3/2x to both sides to get ...

  10 = 5x

  2 = x . . . . . divide both sides by 5. This is the solution.

Answer:

1.false

2.false

3.false

Answer:

All three are false.

Step-by-step explanation:

Let's say a equaled 2 and b equaled 5.

For reference: |2| = 2 |5| = 5

2 > 5 - False

|2| > |5| - False

2 > |5| - False

Hope this helps!!

Answer:

3=¢

Step-by-step explanation:

yeahhhhhhh thank youiuuuuuuuuuuuu

Answer:

1) 7/3

2) Undefined

3) 1

4) 7/4

Step-by-step explanation:

They are complementary angles. Equate the given to 180° and then proceed arithmetic operations. I hope it helps.

Answer:

6.5

Step-by-step explanation:

dude you can search this up

6 1/4

convert both mixed numbers into improper fractions:

multiply the denominator by the whole number and then add the numerator to convert into a improper fraction

4 3/4 = 18/4

1 3/4 = 7/4

then add the two numerators together

the denominator stays the same

18/4 + 7/4 = 25/4

then convert back into a mixed number:

find how many times 4 goes into 25; that's the whole number in your mixed fraction. The remainder is the numerator.

Since 4 goes into 25 6 times and has a remainder of 1, your answer is 6 1/4

Answer:

cost per tennis ball

Step-by-step explanation:

Answer:

[tex](x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]

[tex](x+y)^6=x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex]

Step-by-step explanation:

In order to find the values of [tex](x+y)^5[/tex] and [tex](x+y)^6[/tex], you need to apply the binomial theorem (high-level math you most likely don't need to worry about, it's easier than multiplying all the binomials together).

[tex](x+y)^5[/tex] = [tex]\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i[/tex] = [tex]\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5[/tex] = [tex]x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex].

[tex](x+y)^6[/tex] = [tex]\sum _{i=0}^6\binom{6}{i}x^{\left(6-i\right)}y^i[/tex] = [tex]\frac{6!}{0!\left(6-0\right)!}x^6y^0+\frac{6!}{1!\left(6-1\right)!}x^5y^1+\frac{6!}{2!\left(6-2\right)!}x^4y^2+\frac{6!}{3!\left(6-3\right)!}x^3y^3+\frac{6!}{4!\left(6-4\right)!}x^2y^4+\frac{6!}{5!\left(6-5\right)!}x^1y^5+\frac{6!}{6!\left(6-6\right)!}x^0y^6[/tex]= [tex]x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6[/tex].

Answer:

they can make 24 2/3 pint jars.

Step-by-step explanation:

16 divided by 2/3 is equal to 24.

9514 1404 393

Answer:

  5.1

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(25°) = x/12

  x = 12·sin(25°)

  x ≈ 5.1

Answer:

0.72%

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer:

Step-by-step explanation:

Volume formula:

The base is the pentagon, consisting of equal 5 triangles with the height of 4.1 ft and side of 6 ft.

Area of the base:

Volume:

Answer:

The claim is true for all values of m.

Step-by-step explanation:

Given

[tex]y = 2 + mx[/tex]

Required

Which claim is true [See comment for options]

A linear equation is represented as:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

And the value of m knows no bound

i..e

[tex]m > 0[/tex]

[tex]m = 0[/tex]

[tex]m < 0[/tex]

Hence, (a) is correct

Answer:

option A 12x is the correct answer

Answer:

(B)

Step-by-step explanation:

v^2 = v0^2 + 2ax

a = (v^2 - v0^2) / 2x

= (20^2 - 10^2) / 200

= 1.5 m/s

We are in school 10 months out of the year. What percent of the year are we in school?

Answer:

83.3% (repeating)

Step-by-step explanation:

hope this helps! #HappyCheating

Answer:

Interest=PTR/100

110 =P×1×22/100

11000=22P

P=500