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jek_recluse [69]
1 year ago
11

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]1 year 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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For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6
lorasvet [3.4K]

Answer:

A. 180

Step-by-step explanation:

20*6=120\ in^{3}\ of\ chocolate \\\\\frac{1*1*2}{3} =\frac{2}{3}\ in^{3}\ per\ pyramid\\\\\frac{120}{\frac{2}{3} }\ cubes\\\\\frac{120*3}{2}\ cubes\\\\\frac{360}{2}\ cubes\\\\180\ cubes

7 0
1 year ago
You and a group of friends are going to a five-day outdoor music festival during spring break. You hope it does not rain during
KIM [24]

Answer:

The probability of not rain during the entire festival is 0.19

Step-by-step explanation:

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1.

In this case we have the probability of raining of each day,  we need the probability of NOT raining.  

First day= 45% chance of rain, the complement is 55%

Second day 55% chance of rain, the complement is 45%

Third day a 10% chance of rain, the complement is 90%

Fourth day a 10% chance of rain, the complement is 90%

Fifth day 5% chance of rain, the complement is 95%

To get the probability of NOT raining in the entire festival is the multiplication of all the complements.

P(not raining) = 0.55 x 0.45 x 0.90 x 0.90 x 0.95= 0.19

4 0
2 years ago
Ebola has an Ro of 2. How<br> many third-wave cases can<br> doctors expect?
stellarik [79]

Answer:

4 I guess

Step-by-step explanation:

Because

3-1=2

2^2=2*2=4

4 0
1 year ago
A local fraternity is conducting a raffle where 55 tickets are to be sold—one per customer. There are three prizes to be awarded
harkovskaia [24]

Answer:

(a) 0.0152%

(b) 1.1663%

(c) 19.4297%

(d) 79.3787%

Step-by-step explanation:

Tickets bought by organizers = 4

Number of tickets = 55

Prizes = 3

(a) The probability that the four organizers win all of the prizes is:

P = \frac{4}{55}*\frac{3}{54}*\frac{2}{53}\\P=0.0152\%

(b) The probability that the four organizers win exactly two of the prizes is:

P = \frac{4}{55}*\frac{3}{54}*\frac{51}{53}+\frac{4}{55}*\frac{51}{54}*\frac{3}{53}+\frac{51}{55}*\frac{4}{54}*\frac{3}{53}\\P=1.1663\%

(c) The probability that the four organizers win exactly one of the prizes is:

P = \frac{4}{55}*\frac{51}{54}*\frac{50}{53}+\frac{51}{55}*\frac{4}{54}*\frac{50}{53}+\frac{51}{55}*\frac{50}{54}*\frac{4}{53}\\P=19.4397\%

(d) The probability that the four organizers win none of the prizes is:

P = \frac{51}{55}*\frac{50}{54}*\frac{49}{53}}\\P=79.3787\%

5 0
2 years ago
Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope
Savatey [412]

Answer:

<h3>A: x = -5</h3><h3>B: y = -5</h3>

Step-by-step explanation:

Function A:

(-5, -2), (-5, 7) It's not a function, because for x = -5 we have two different values of y!

The graph is a vertical line x = -5

Function B:

(7, -5), (-2, -5) It's a function.

The graph is a horizontal line y = -5

8 0
1 year ago
Read 2 more answers
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