Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants.
How many different outfits can Alphonsus put together with his new clothes?

A. 1
B. 3
C. 4
D. 7
E. 12

Answer:

See attached image.

Step-by-step explanation:

[tex]\ln{x} \ge 3[/tex]

To solve for x, use the exponential function e^x (it's the inverse of the ln function).

[tex]e^{\ln{x}} \ge e^3\\x \ge e^3[/tex]

A calculator gives the approximation 20.09

(a) v appears to have a fixed direction along the positive x-axis. If ||u|| = 150 N, ||v|| = 220 N, then when θ = 30°, you have

u = (150 N) (cos(30°) i + sin(30°) j ) ≈ (129.904 i + 75 j ) N

v = (220 N) (cos(0°) i + sin(0°) j ) = (220 i ) N

(i and j are the unit vectors in the positive x and y directions)

and their sum is

u + v ≈ (349.904 i + 75 j ) N

with magnitude

||u + v|| ≈ √((349.904)² + (75)²) N ≈ 357.851 N ≈ 357.9 N

and at angle φ made with the positive x-axis such that

tan(φ) ≈ (75 N) / (349.904 N)   →   φ ≈ 12.098° ≈ 12.1°

(b) Letting θ vary from 0° to 180° would make v a function of θ :

u = (150 N) (cos(θ) i + sin(θ) j ) = (150 cos(θ) i + 150 sin(θ) j ) N

Then

u + v = ((220 + 150 cos(θ)) i + (150 sin(θ)) j ) N

→   M = ||u + v|| = √((220 + 150 cos(θ))² + (150 sin(θ))²) N

M = √(48,400 + 66,000 cos(θ) + 22,500 cos²(θ) + 22,500 sin²(θ)) N

M = 10 √(709 + 660 cos(θ)) N

(c) As a function of θ, u + v makes an angle α with the positive x-axis such that

tan(α) = (150 sin(θ) / (220 + 150 cos(θ))

→   α = tan⁻¹((15 sin(θ) / (22 + 15 cos(θ)))

(d) Filling in the table is just a matter of evaluating M and α for each of the given angles θ. For example, when θ = 0°,

M = 10 √(709 + 660 cos(0°)) N = 370 N

α = tan⁻¹((15 sin(0°) / (22 + 15 cos(0°))) = 0°

When θ = 30°, you get the same result as in part (a).

When θ = 60°,

M = 10 √(709 + 660 cos(60°)) N ≈ 323.3 N

α = tan⁻¹((15 sin(60°) / (22 + 15 cos(60°))) = 23.8°

and so on.

Answer:

I don't give answers sorry.

Step-by-step explanation:

What you would do is take 1 and subract the two probabilites from it. The equation should be [tex]1-\frac{1}{3} -\frac{2}{5}[/tex]. You can find a common denominator by making it both 15.

Answer:

45 minutes

Step-by-step explanation:

this is an over-estimate and the reason is 200/5=40 the closest one is actually 45 minutes

Answer:

$15.02

Step-by-step explanation:

add the money then add the 200. to what u get when u add the money

Answer: 2

4

−

3

3

+

7

2

−

4

Step-by-step explanation:

Answer:  -17

Step-by-step explanation:

2*-2^4-3*-2^3+2*-2^2-4-2+5= ?

2*-16-3*-8+2*-4-4-2+5 = ?

-32+24-8-4-2+5

-8-12+3

-20+3

-17

:>

Answer:

3.625

Step-by-step explanation:

ur welcome!

Answer:

1/12 a mile

Step-by-step explanation:

Answer:

B. 1/12 is the right answer because you have to times the fraction by the reciprocal because you can't divide a fraction. So, you do 1/3 *1/4 = 1/12

Step-by-step explanation:

have a good day/night

may i please have a branlliest

Answer:

58b - 36

Step-by-step explanation:

-11b + 15 + 69b - 51

combine 'like terms' to get:

58b - 36

Answer:

The evidence is the statement made in the document where it was said: "You will be beaten but you must not resist; you must not even raise a hand to ward off any blows"

Step-by-step explanation:

The document has been attached. It was from the march by gandhi's followers to the dharasana salt works.

From the document attached, the evidence that they were disciplined is where it was said: "You will be beaten but you must not resist; you must not even raise a hand to ward off any blows"

Answer:

Step-by-step explanation:

Proportion of type O donors = 37/(37+43) = 37/80

300 × 37/80 = 138.75

139 donors out of 300 are type O.

A ratio shows us the number of times a number contains another number. The number of type O donors out of 300 is 139.

A ratio shows us the number of times a number contains another number.

Given that the ratio of type O to non-type O donors at a blood drive was 37:43. Therefore, the number of type O blood donors be represented by 37x and the number of non-type O blood donors be represented by 43x.

Now, the sum of type and non-type O donor is 300. Therefore, we can write,

37x + 43x = 300

80x = 300

x = 3.75

Further, the Number of type O donors out of 300 can be written as,

Number of type O donors out of 300 = 37x = 37(3.75) = 138.75 ≈ 139

Hence, the number of type O donors out of 300 is 139.

Learn more about Ratios here:

https://brainly.com/question/1504221

#SPJ2

Answer:

I think the second table.

Step-by-step explanation:

Because it is the correct one.

Answer:

C on edg.

Step-by-step explanation:

C.

Answer:

Scuba-4-All's initial cost is $55

Scuba palace's initial cost is $30

Step-by-step explanation:

Initial cost is the cost when at zero hours or 0 x value

Answer:

C. 5 units

Step-by-step explanation:

look at the graph to the left

this seems too easy so I'm probably wrong but thats how I read the question

Answer:

FV= $3,846.11

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,000

Number of periods (n)= 5*4= 20 semesters

Interest rate (i)= 0.05/4= 0.0125

To calculate the Future Value, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 3,000*(1.0125^20)

FV= $3,846.11

Answer:

(x,y) -> (-x,-y)

Step-by-step explanation:

You need the opposites of both points, not just one of them.

Answer:

9:8

Step-by-step explanation:

According to the word problem, Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes.

The question is asking the ratio of Joe's frogs AND snakes TO hamsters.

To find out the ratio of frogs and snakes, add how many frogs there are to how many snakes there are.

6 + 3 = 9.

The last part of the equation should be obvious.

There are 8 hamsters.

Therefore, the ratio of Joe's frogs and snakes to hamsters is 9:8.

Answer:

x = 6

Step-by-step explanation:

let 'x' = BD

x/3 = 12/x

x² = 36

x = [tex]\sqrt{36}[/tex]

x = 6

Answer:

Step-by-step explanation:

The standard form:

Pairs given:

Substitute values of x and y and work out the values of a, b and c.

1. Point (0, 0)

2. Point (2, 4)

3. Point (4, 0)

Substitute b and solve for a:

Find b:

The function is:

Answer:

A)

this is a corect answer for this question:)

Answer:

simplified:

[tex]\frac{d}{x^3}[/tex]

and Find the integral if that's what you also wanted:

[tex]-\frac{1}{3x^3} +3[/tex]

Answer:

x=45°

Step-by-step explanation:

180-90=90

Hence, there is 2 x so 90/2=45

Answer:

x = 45°

Step-by-step explanation:

here's your solution

=> we know that sum of all angles of traingle = 180°

=> x° + x° + 90° = 180°

=> 2x + 90° = 180°

=> 2x = 180° - 90°

=> 2x = 90°

=> x = 90°/2

=> x = 45°

hope it helps

Answer:

D. 48 cm

Step-by-step explanation:

Cylinder Volume:

V=πr^2h

V≈452.39

Cone Volume:

V=πr^2(h/3)

452.39 = pi(3)^2(h/3)

452.39 = pi x 9 x (h/3)

452.39 = 28.26 x (h/3)

/28.26      /28.26

16.008138712 = (h/3)

x 3                      x 3

h = 48.0244161359

h = 48 cm

Answer:

A

Step-by-step explanation:

18÷100

=18% 18 of 100 that means 18/100

Answer:

The Coombs test checks your blood for antibodies that attack red blood cells. It can help prevent and diagnose problems.

ummmm

also what cu.ms out of a co.ck

lm.ao

Answer:

The vertex is (-2,5). And the y intercept of the graph is (0,-7)

Step-by-step explanation: