Test #

Help, please I can't answer it

Ivan

Answer:

A and c i think it will help you

5 0

2 years ago

Find the exact solutions to 2x^2=5x-1 by using the quadratic formula

Luda [366]

Solve the equation for x by finding a , b , and c of the quadratic then applying the quadratic formula

Exact form:

x = 5 ± √ 17

4

Decimal:

x = 2.28077640 … , 0.21922359

sorry idk how to put a fraction in

3 0

2 years ago

Read 2 more answers

How many ways can 6 people be chosen and arranged in straight line if there are 8 people to choose from? a. 48.b. 720.c. 20, 160

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.

nPr = n!/(n-r)!

Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.

8P6 = 8!/(8-6)!

8P6 = 8!/2!

8P6 = 8*7*6*5*4*3*2!/2!

8P6 = 8*7*6*5*4*3

8P6 = 56*360

8P6 = 20,160

<em>Hence this can be done in 20,160 number of ways</em>

5 0

3 years ago

A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many na

ira [324]

Answer:

Approximately $58.2\; \text{nautical miles}$ (assuming that the bearing is ${\rm S$29^{\circ}$W}$ .)

Step-by-step explanation:

Let $v$ denote the speed of the ship, and let $t$ denote the duration of the trip. The magnitude of the displacement of this ship would be $v\, t$ .

Refer to the diagram attached. The direction ${\rm S$29^{\circ}$W}$ means $29^{\circ}$ west of south. Thus, start with the south direction and turn towards west (clockwise) by $29^{\circ}$ to find the direction of the displacement of the ship.

The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of $v\, t$ . The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly $29^{\circ}$ .

Since the hypotenuse is of length $v\, t$ , the dashed line segment opposite to the $\theta = 29^{\circ}$ vertex would have a length of:

$\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}$ .

Substitute in $\begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned}$ and $t = 6\; \text{hour}$ :

$\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}$ .

7 0

2 years ago

Aisha is going to ship some gifts to family members, and she is considering two shipping companies. The first shipping company c

olasank [31]

Answer Step-by-step explanation:

Word (story) problems are easy if you use a table to translate the words to precise, concise math variables and operations. For example,

Is means =

Larger than +

Four times a 4*a

F is 550 less than S F = S – 550

Total of A, B, C A + B + C

This seems obvious – until you get stuck on a word problem. So,

“the first company” , “a second company” becomes Let their costs be F and S

Let K be the number of kilograms

“$20 to ship a medium box, plus an additional $2 per kilogram” F = $20 + 2*K

“10 for the same size of box, plus an additional $3 per kilogram” S = $10 + 3*K

“the two shipping methods will cost the same amount” F = S

“What is that weight?” report K

Now, the math:

F = S

20 + 2K = 10 + 3K

$10 = K

3 0

2 years ago