Divide 4 1/2 by the following unit fractions.

a) 1/8

Solution:

It is that a river is flowing in the south direction with a speed of [tex]$v_r$[/tex]1.4 mi/h.

A swimmer wishes to cross the river in a horizontal direction so that he lands at a point which is due east of his starting point.

The speed of the swimmer is [tex]$v_s$[/tex] = 3 mi/h

Therefore he has to swim in such a direction that his resultant is in the direction east to his starting point.

Let this angle be θ.

Therefore, from the figure,

[tex]$\sin \theta = \frac{v_r}{v_s}$[/tex]

[tex]$\sin \theta = \frac{1.4}{3}$[/tex]

[tex]$\theta = \sin^{-1}(0.46)$[/tex]

  [tex]$=27.4^\circ[/tex]

Therefore, the swimmer has to swim in the northeast direction making an angle of (90+27.4) = 117.4° with the direction of flow of river (i.e. south).  

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Given the expression;

[tex]\lim_{x \to \infty} \dfrac{x+x^2}{5x^2}[/tex]

To find the limit of the function, we need to first divide through by the highest degree if x i.e x² as shown;

[tex]\lim_{x \to \infty} \dfrac{\frac{x}{x^2} +\frac{x^2}{x2}}{\frac{5x^2}{x^2} }\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5}\\As \ x \ tends \ to \ \infty, \ \frac{1}{x} \ tends \ to \ zero. \ Hence;\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5} = \frac{0+1}{5}\\= \dfrac{1}{5}[/tex]

Hence the limit of the function as x tends to infinity is [tex]\frac{1}{5}[/tex]

Answer:

fire

Step-by-step explanation:

if you give fire food or fuel it will still be alive

but if you give it water it will go out

PLZ GIVE BRAINLEST

Answer:

The answer is a fire because if you put water on a fire, it will die out, but if you put stuff in the fire it will live on.

Answer:

15

Step-by-step explanation:

Step-by-step explanation:

5.9722x1024 - 4.8685x1024

1130.1888

I think the answer would be 40 questions I don't know if this is actually correct tho

Answer:

True

Step-by-step explanation:

Gross income is prior to any deductions, expenses, or other appropriations have been taken out.

2. True

Net income is after taxes

3. False

This would be biweekly if 24 payperiods

4. True

5. True

Fill in blank

1. Commission (I think)

2. 40

3. State

4. Dept of Labor; act is called Fair Labor Standards Act

5. Fair Labor Standards Act

6. if you need to know annual salary, then mulitply your gross income by the number of payperiods in one year, if you need to know your monthly salary then divide the annual salary by 12 to get monthly.

Answer:

The answer is -97.5

Answer:

-97.5

Step-by-step explanation:

um yas

Answer:

x^2 - 6x + 9

Step-by-step explanation:

x(x - 1) = 9

x^2 - x - 9 = 0

x = 3.54 or x = -2.54 (using quadratic formula)

x^2 - 6x + 9 = 0

(x-3)^2 = 0

x = 3

x^2 = 9

x = ±√3 (any positive number square rooted always have 2 answers)

Answer:

10/9

Step-by-step explanation:

1/3+7/9=10/9

Step-by-step explanation:

= 1 + 7

3 9

= 9+21

27

= 28

27 ans

Responder:

$ 3,285

$ 7545

Explicación paso a paso:

Dado que:

Costo del vehículo = $ 23,970

Valor de rescate = $ 975

Vida útil = 7 años

Depreciación por año = (costo del vehículo - valor residual) / vida útil

Depreciación por año = (23970 - 975) / 7

Depreciación por año = 22995/7

Depreciación por año = $ 3285

Valor del vehículo después de 5 años:

23970 - (3285 * 5)

= $ 7545

Año _____ valor del vehículo

1 ________ 20685

2 ________ 17400

3 ________ 14115

4 ________ 10830

5 ________ 7545

6 ________ 4260

7 ________ 975

Answer:

use photomath and if that dont work use m a t h w a y

Step-by-step explanation:

Answer:

2 pounds

Step-by-step explanation:

i feel like it's a trick question :/

Answer/Step-by-step explanation:

✅The y-intercept of the graph of Monday's storm is the amount of precipitation recorded at the beginning of the tracking or when the tracking started.

✍️The y-intercept of the graph of Monday's storm is 0 mm, when time = 0 min.

✅The y-intercept of the graph of Thursday's storm also has the same meaning as that of Monday's storm.

✍️The y-intercept of the graph of Thursday's storm is 0 mm, when time = 0 min.

Answer: A. 279936 sequences.

B. 2187 sequence.

C. 7776 sequence.

D. 46656 sequence

E. 64 sequence.

Step-by-step explanation:

Given data:

A 6 sided fair die

No of time rolled = 7

Resulting sequence recorded = 7.

Solution.

A.) No of different possible sequence

= 6^7

= 279936 sequences.

B.) Sequence consisting of only even number

= there are 3 even numbers between 1 and 7 ( 2,4,6).

= 3^7

= 2187 sequence.

C.) possible sequences are when the first, third, and fourth numbers must be the same.

= 6* 6 ^n

where n = 4

= 6*6^4

= 7776 sequence.

D.) sequence when every number is different.

There are 6 sides of a die, so when every number is different it is.

= 6^6

= 46656 sequence

E.) sequence when atleast there are two numbers that are the same.

= 2^6

= 64 sequence.

Answer:

a) Her rate is 1 mile per hour  for Monday’s run

b) 0.447 m/second

c) In fraction  20467m/180000 seconds

Step-by-step explanation:

Speed = distance / time = 1 mile/ 1 hour  

           = 1 mile per hour

Her rate is 1 mile per hour  for Monday’s run

part A. According to the question, the unit rate is to be expressed in miles per hour units.

Part B.

Speed = distance / time = 1 mile/ 1 hour  

           = 1 mile per hour

But 1 mile = 1609.34 m

and 1 hour = 3600 seconds

There fore  

1 mile/ 1 hour  = 1*1609.34/ 1*3600 seconds

                    = 0.447 m/second

Part C.

1 mile/ 1 hour  =1609.34/ 3600 seconds

                     = 1609.34 * 100/100 * 1/3600  ( multiplying and dividing by 100 to remove the decimal)

                     = 160934/360000

                      = 20467m/180000 seconds

The first five multiples of 1 are 2,3,4,5,6,7,8, 9......

The LCM of 1 and 1 is 1

Answer:

A

Step-by-step explanation:

It is making me add 20 characters to my answer so ignore this :)

Answer:

its TRUE

Step-by-step explanation:

Answer:

the answer is that B .P(X)

Answer:

Answer:

(rise/run) 5/4

decimal ver: 1.25

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The line passes trough the points (2, 2) and (-2, -3).

[tex]m=\frac{rise}{run}=\frac{-3-2}{-2-2}=\frac{-5}{-4} =\boxed{\frac{5}{4}}[/tex]

Hope this helps.

Answer:

x^2+2x-8

Step-by-step explanation:

x^2+2x-8 = (x+4)(x-2)

Answer: A. x^2 -2x -8

Step-by-step explanation:

Answer:

31°

Step-by-step explanation:

If ∠dab=55° and ∠cab=24° and ∠cab+∠dac=∠dab then all you need to do is subtract 55° and 24° to get 31°

Answer:

srry i cant help but i can talk all ima say is this is some advance math what grade u in im only in 7 and im struggling

Step-by-step explanation:

()-()                                                        

(っ◔◡◔)っ ♥ so yea srry i cant help tho ♥

Answer:

11.077 cars / 11 cars (nearest whole number)

Step-by-step explanation:

6.5 hours → 72 cars

1 hour → 72/6.5 cars = 11.077 cars (5 s.f.)

Based on the information given the amount that the key chain cost is $8.3

Let x represent the cost of the key chain

$96.30 = 3($15.50) + x

x = $96.30 - $46.50

x= $49.8

Hence:

Cost per key chain= $49.8/6

Cost per key chain= $8.3

Inconclusion the amount that the key chain cost is $8.3

Learn more about cost here:https://brainly.com/question/1153322

Answer:

69°

Step-by-step explanation:

m∠1 + 111° = 180° ⇒ m∠1 = 69°

m∠1 = m∠2 = 69°