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3 years ago

Write each expression using the fewest number of bases possible

Mathematics

1 answer:

Brut [27]3 years ago

7 0

23^(a+b). 23 raised to the power of a+b

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Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km awa

oksian1 [2.3K]

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120 km

b=70 km

β=28 degrees ( ∘)

b^2=(a^2)+(c^2)−2ac*cosβ

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )

(c^2 ) −211.907c+9500=0

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996

D>0

$c_{1,2}$ = (−q± $\sqrt{D}$ )/2p=(211.91± $\sqrt{6904.76}$ )/2

$c_{1,2}$ =105.95371114±41.5474295834

( $c_{1}$ −147.501140726)( $c_{2}$ −64.4062815596)=0

$c_{1}$ =147.501140726

$c_{2}$ =64.4062815596

5 0

3 years ago

x-y=5 what is the slope intercept form of the equation of the line what is the slope intercept form of the equation of the line

dimaraw [331]

X - y = 5 in slope intercept form is y = x - 5

3 0

3 years ago

A the zoo, the zookeeper make 4,000 pounds of ice. The zookeeper can make 400 pounds per day. How many days will it take to make

Nataliya [291]

Answer:

10 days.

Step-by-step explanation:

to find what you multiply from 400 to get to 4000, you divide 4000 by 400, which is 10, plug that in, 400 pounds x 10 days = 4000 pounds.

6 0

2 years ago

Read 2 more answers

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard de

inna [77]

Answer:

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

Step-by-step explanation:

Step(i):-

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let x₁ = 4

$Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65$

Let x₂ = 7

$Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85$

Step(ii):-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = P(-0.65≤Z≤0.85)

= P(Z≤0.85) - P(Z≤-0.65)

= 0.5 + A( 0.85) - ( 0.5 - A(-0.65)

= 0.5 + A( 0.85) - 0.5 +A(0.65) ( ∵A(-0.65) = A(0.65)

= A(0.85) + A(0.65)

= 0.3023 + 0.2422

= 0.5445

Final answer:-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

6 0

4 years ago

Heartbeat takes 0.8 seconds.how many seconds is this written as a fraction?

liubo4ka [24]

0.8 = 8/10

simplified = 4/5 seconds

hope this helps

5 0

4 years ago

Read 2 more answers