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Alinara [238K]
3 years ago
14

A robot can complete 5 tasks in 2/3 hour. Each task takes the same amount of time.

Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

a. 8 minutes

b. 7.5 tasks

Step-by-step explanation:

\frac{2}{3} of an hour is just 40 minutes.

Let's use a ratio:

minutes : tasks

   40      :    5

     8       :    1

   20       :   2.5

   60       :   7.5

a. 8 minutes

b. 7.5 tasks

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OOOO
lbvjy [14]

Step-by-step explanation:

Given bi-quadratic equation is:

x^4+95x^2 -500=0

Substituting x^2=a, given bi-quadratic equation reduces in the form of following quadratic equation:

a^2 +95a -500=0\\

Let us factorize the above quadratic equation:

a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\

Since square root of a negative number cannot be found, so:

x \neq \pm \sqrt{-100}\\

CASE\: (2)\:\\When\: a =5 \implies x^2 =5\\\therefore x=\pm \sqrt{5}\\

3 0
3 years ago
13. A cone with a radius of 3 inches and a height of 7 inches has the same radius as a cylinder. If the cylinder's volume is two
Ghella [55]

Answer:

Step-by-step explanation:

r = 3 in

h = 7 in

volume of cone = ⅓πr²h = 21π in³

cylinder has radius r = 3 and height h.

volume of cylinder = πr²h = 9πh in³

volume of cylinder is two times the volume of cone

9πh = 2×21π

9h = 42

h = 42/9 = 4⅔ in

3 0
2 years ago
Solve each equation using the quadratic formula. Find the solutions.<br><br> x^2 - 6x + 7 = 0
LuckyWell [14K]
X^2-6x+7=0

-b +/- sqrt b^2-4ac all over 2a

a=1 b= -6 and c=7

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3+/- sqrrt2





5 0
3 years ago
Read 2 more answers
Help me please thank you
harina [27]

I believe it would be 2 units to the right

and 4 units down

7 0
3 years ago
Which of the following represents a rotation of ΔEFG, which has vertices E (4, −3), F (−7, 5), and G (2, 8), about the origin by
9966 [12]
REMEMBER: A rotation of 180 degrees means you flip both x and y numbers

E(-4,3)
F(7,-5)
G(-2,-8)
3 0
3 years ago
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