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Lady bird [3.3K]
3 years ago
6

Evaluate 5a3 + 3b4 when a 4 and b= - 5​

Mathematics
1 answer:
valkas [14]3 years ago
5 0
5a^3 + 3b^4

insert the numbers into the equation.

5(4)^3 + 3(-5)^4

evaluate

5(64) + 3(625)

evaluate

320 + 1875

the solution is:

2195
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The question is in the screenshot
Sidana [21]

Answer:

b. -36/77

Step-by-step explanation:

As 0 < x < \pi/2 => tan x > 0

As 0< y <  \pi/2 => tan y > 0

We have the formula:

  • \frac{1}{sin^{2}x } =1 + cot^{2}x => \frac{1}{(8/17)^{2} } = 1+cot^{2}x => cot^{2} x=225/64

As tan x = 1/(cotx) => tan^{2}x = \frac{1}{cot^{2}x} =\frac{1}{225/64} = \frac{64}{225}

As tan x > 0 => tan x = 8/15

  • \frac{1}{cos^{2}y } = 1+tan^{2}y => \frac{1}{(3/5)^{2} } = 1 + tan^{2} y => tan^{2}y=\frac{16}{9}

As tan y > 0 => tan y = 4/3

As tan (x-y)= \frac{tan x - tan y}{1+ tanx * tany} =\frac{(8/15)-(4/3)}{1+(8/15)*(4/3)} = \frac{-36}{77}  

8 0
3 years ago
Find the equation of the line that has slope -5 and passes through the point (1,-7)
RUDIKE [14]

Answer: y=-5x-2

Step-by-step explanation:

5 0
2 years ago
Please answer this correctly
olasank [31]

Answer:

12 days

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
2x+2y= 24 <br> x=3y <br> What is the value of x+y?
natita [175]

Answer:

x = 9

y = 3

Step-by-step explanation:

2x + 2y = 24 is the same as x + y = 12

using substitution, x = 12-y

12 - y = 3y

12 = 4y

y = 3

x = 3(3)

x = 9

5 0
3 years ago
Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west a
sergeinik [125]

Answer:

99miles is more likely correct

or 114miles as knots is usually higher mileage

Step-by-step explanation:

70^2 + 70^2 = c^2

sqrt 4900 + sqrt 4900 = c^2

sq rt 9800 = c^2 = 98.9949494

99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph

70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.

5 0
2 years ago
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