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2 years ago

Find the roots of the equation (t+1)2 +(t-8)2=45a.-5,-2 b.3,4 c. 5,2 d. 2,-3

Mathematics

1 answer:

Masteriza [31]2 years ago

4 0

t2 +2t+2+t2 _16t+64=45

2t2_14t+65=45

2t2_14t +20=0

(2t_4)(t_5)=0

t=2 t=5

answer is C.5,2

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If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe

Natalka [10]

Answer:

They encircle the planet $3.76\times 10^{11}$ times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is $6.022\times 10^{23}$

Thus, the number of dust particles is:

$2.5\times 6.022\times 10^{23}=15.055\times 10^{23}$

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: $10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m$

If we line up the particles the distance they could cover is:

$15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}$

Circumference in meters:

$40,076km\times \frac{1000m}{1km}=40,076,000 m$

Therefore,

$\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}$

Hence, they encircle the planet $3.76\times 10^{11}$ times.

8 0

2 years ago

Two workers produced 86 parts and the first one produced 8 more parts than the second one. How many parts did each worker produc

Diano4ka-milaya [45]

1st worker produced x pants,
2nd worker produced (x+8) pants.

x+x+8=86
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x= 39

x+8 = 39+8 = 47

1st worker produced 39 pants,
2nd worker produced 47 pants.

6 0

2 years ago

Read 2 more answers

Wesley and brian have a total of 87 baseball cards. Wesley have 30 less than twice as many cards as brian. How many baseball car

d1i1m1o1n [39]

Brian has 39 cards and Wesley has 48 cards

Step-by-step explanation:

Let w be the number of cards Wesley has

and

b be the number of cards Brian has

Then

$w+b = 87\ \ \ \ Eqn\ 1\\w = 2b-30\ \ \ Eqn\ 2$

Putting w = 2b-30 in equation 1

$2b-30+b = 87\\3b = 87+30\\3b = 117$

Dividing both sides by 3

$\frac{3b}{3} = \frac{117}{3}\\b = 39$

Putting b=39 in equation 2

$w = 2(39)-30\\w = 78-30\\w = 48$

Hence,

Brian has 39 cards and Wesley has 48 cards

Keywords: Linear equations, variables

Learn more about linear equations at:

#LearnwithBrainly

6 0

2 years ago

There are 8 runners in a race. What is the probability that Abby, Becca, and Carmen place first, second, and third in any order?

Mkey [24]

$|\Omega|=8!\\
|A|=3!\cdot5!\\\\
P(A)=\dfrac{3!5!}{8!}=\dfrac{2\cdot3}{6\cdot7\cdot8}=\dfrac{1}{56}\approx1,8\%$

3 0

2 years ago

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Betty's bite-size candies are packaged in bags. The number of candies per bag is normally distributed, with a mean of 50 candies

Gala2k [10]

47 = 50 - 3 or:
47 = Mean - 1 Standard deviation
For normal distribution it means that 4 bags represent 16 % of all samples.
4 bags ------ 16%
x bags ------ 100 %
---------------------------
4 * 100 = x * 16
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x = 400 : 16
x = 25
Answer: 25 bags were probably taken as samples.

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2 years ago

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Find the roots of the equation (t+1)2 +(t-8)2=45a.-5,-2 b.3,4 c. 5,2 d. 2,-3​

Find the roots of the equation (t+1)2 +(t-8)2=45a.-5,-2 b.3,4 c. 5,2 d. 2,-3