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3 years ago

Solve with quadratic formula. 4k^2- 20 = k

Mathematics

2 answers:

zvonat [6]3 years ago

5 0

Answer: $k= \frac{1+\sqrt{321} }{8} , \frac{1-\sqrt{321} }{8}$

Step-by-step explanation:

Move all terms to one side.

$4^{2} -20-k=0$

Use the Quadratic Formula.

$k=\frac{1+\sqrt{321} }{8}$ , $k=\frac{1-\sqrt{321} }{8}$

skelet666 [1.2K]3 years ago

3 0

Step-by-step explanation:

4k² - 20 = k

4k² - k - 20 = 0

By quadratic formula :

$x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

x =( 1 ± √80 ) / 8

x = (1 ± 4√5)/8

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Mrs. Ross needs to buy dish soap. There are four differently sized containers. Sort the brands from least to the greatest unit p

r-ruslan [8.4K]

Answer: Spotless soap < Bright wash < Lemon bright < lot of suds

Step-by-step explanation:

Given that 8 oz of Lots of suds cost = $0.98

Then unit price of 1 lot of suds = 0.98/8 = $0.1225

Given that 12 oz of Bright wash cost = $1.29

Then unit price of 1 Bright wash = 1.29/12 = $0.1075

Given that 30 oz of Spotless soap cost = $3.14

Then unit price of 1 Spotless soap = 3.14/30 = $0.104666666667

Given that 32 oz of Lemon bright cost = $3.50Then unit price of 1 Lemon bright = 3.50/32 = $0.109375

We also need to round the values to the nearest thousandth means three digits after decimal

Then unit price of 1 lot of suds = $0.123

unit price of 1 Bright wash = $0.108

unit price of 1 Spotless soap = $0.105

unit price of 1 Lemon bright = $0.109

Now we can easily sort them

0.105 < 0.108 < 0.109 < 0.123

respective names in sorted order are:

Spotless soap < Bright wash < Lemon bright < lot of suds

8 0

3 years ago

Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use pi on your calculator

Virty [35]

ANSWER
$V=254.47in^3$

EXPLANATION

The volume of a cylinder is given by the formula:

$V=\pi \: {r}^{2} h$

The given cylinder has diameter 6. This means that, the radius is

$r = \frac{6}{2}$

$r = 3cm$

The is height is

$h = 3r$

$h = 3(3) = 9cm$

We substitute the values into the formula to obtain;

$V=\pi \: {3}^{2} \times 9$

$V=81\pi$

$V=254.46900494$

The volume is $254.47in^3$ to the nearest hundredth

7 0

3 years ago

Read 2 more answers

The measure of angle 3 is 42°. <br><br> What is the measure of angle 1 in degrees?

Svetradugi [14.3K]

Answer:

Angle 1 is 48°

Step-by-step explanation:

So angle 1 + angle 2 + angle 3 = 180°

Angle 2 = 90°

Angle 3 = 42°

180 - 90 - 42 = 48°

3 0

3 years ago

Jesse is collecting signatures for a petition. (See the current details of his collection below.) Jesse wants to collect the sam

borishaifa [10]

Answer:

Step-by-step explanation:

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4 0

3 years ago

Please help: A box contains 5 yellow balls, 3 blue, and 1 red ball. Two balls are drawn at random. Find the probability that:

Y_Kistochka [10]

Answer:

a) 0.2778

b) 0.3611

c) 0.1389

d) 0.0833

Step-by-step explanation:

We have a total of 5 + 3 + 1 = 9 balls

a) First ball being yellow: we have 5 yellow balls, so P1 = 5/9

Second ball being yellow after one yellow was drawn: we have 4 yellows and 8 balls, so P2 = 4/8 = 1/2

Both yellows: P = P1 * P2 = 5/18 = 0.2778

b) Both blues:

P1 = 3/9 = 1/3

P2 = 2/8 = 1/4

P = P1 * P2 = 1/12 = 0.0833

Both yellows or both blues: 5/18 + 1/12 = 0.2778 + 0.0833 = 0.3611

c) First yellow: P1 = 5/9

Second red: P2 = 1/8

Pa = P1 * P2 = 5/72

First red: P3 = 1/9

Second yellow: P4 = 5/8

Pb = P3 * P4 = 5/72

P = Pa + Pb = 10/72 = 5/36 = 0.1389

d) First blue: P1 = 3/9 = 1/3

Second red: P2 = 1/8

Pa = P1 * P2 = 1/24

First red: P3 = 1/9

Second blue: P4 = 3/8

Pb = P3 * P4 = 1/24

P = Pa + Pb = 2/24 = 1/12 = 0.0833

8 0

3 years ago