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xxMikexx [17]
3 years ago
12

E/P 14)The equation 2x²+ 4kx - 5k = 0, where k is a constant, has no real roots.

Mathematics
1 answer:
aalyn [17]3 years ago
4 0

Step-by-step explanation:

Discriminant = 16k² - 4(2)(-5k)

Since 16k² + 40k < 0, 2k² + 5k < 0, k(2k + 5) < 0.

Therefore -5/2 < k < 0.

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please help! A cylindrical soup can has a radius of 1.8 in. and is 5.7 in. tall. Find the volume of the can. Use 3.14 for pi. Ro
Levart [38]
V=Pir^2h
pi1.8^2(5.7)
V= 58.02
3 0
3 years ago
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It took Jack 2 hours to paddle 6.4 km upstream on the Black River to the giant's castle. The speed of the river is 1.8 km/h. How
Lostsunrise [7]

To find the time Jack takes to cross Swan Lake, his average speed is required:

The time it will take Jack to cross Swam Lake is <u>0.5 hours</u>

Reason:

Time it took Jack to paddle 6.4 km upstream, t = 2 hours

Distance Jack paddled, d = 6.4 km

The given speed of the Black River, <em>v₂</em> = 1.8 km/h

The width of the lake, w = 2.5 km

The time it will take Jack to cross Swan Lake

Let <em>v₁</em>, represents Jack's speed, we have;

v_1 - v_2 = \dfrac{d}{t}

Therefore;

v_1 - 1.8 = \dfrac{6.4}{2} = 3.2

v₁ = 3.2 + 1.8 = 5

  • Jack's speed, v₁ = 5 km/h

Time \ to \ cross \  the \ lake , \ t_S = \dfrac{w}{v_1}

t_S = \dfrac{2.5 \, km}{5 \, km/h}  = 0.5 \, hr.

The time it will take Jack to cross Swan Lake, t_S = <u>0.5 hours</u>

Learn more here:

brainly.com/question/17168275

3 0
3 years ago
(6c2) * (10c6) * (3c2)
bezimeni [28]
<span>(6c2) * (10c6) * (3c2)
Multiply
60c8 * 3c2
Multiply again
Final Answer: 180c10</span>
5 0
3 years ago
An employee earns $195 for 15 hours of work. Assuming he is paid by the hour, how much will the employee earn in 8 hours?
vampirchik [111]

Answer:

$104

Step-by-step explanation:

  1. First, find the employee’s hourly rate.  You can do this by dividing the total amount earned by the total hours worked. \frac{195}{15}=13
  2. Now that you know that the employee’s hourly rate is $13 per hour, you can multiply the hourly rate by the number of hours. 13*8=104
7 0
3 years ago
Find the side of a cube whose surface area is 600cm²
expeople1 [14]

Answer:

<em><u>10 cm</u></em>

Explanation:

Surface area of cube = 600 cm^2

Side of a cube = ?

Formula:

Total S.A of cube =  6 x (side of cube)^2

                            = 6 . x^2

600 cm2 =  6 . x^2

x^2  = 600 / 6

x^2 = 100

x = 10 cm

<em>The required side of a cube = 10 cm</em>

8 0
3 years ago
Read 2 more answers
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