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3 years ago

-5x – 4y =10 What’s the y intercept

Mathematics

1 answer:

otez555 [7]3 years ago

8 0

Answer:

y=-5x/4x+-5/2

Step-by-step explanation:

-5x-4y=10

add 5x to 10

-4y=5x+10

divide -4 with 5x and 10

y=-5/4x+-5/2

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You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.7. Wit

Lina20 [59]

Answer:

0.2416

Step-by-step explanation:

P(forgot to water | dead) = P(forgot and dead) / P(dead)

->With water it will die with probability 0.45

P(watered and dead) =0.83 x 0.45 = 0.3735

->Without water the plant will die with probability 0.7

P(forgot and dead) = (1-0.83) x 0.7 => 0.17 x 0.7 =>0.119

P(dead) = P(watered and dead) +P(forgot and dead)

P(dead) = 0.3735 + 0.119= 0.4925

P(forgot to water | dead) =0.119 / 0.4925= 0.2416

Therefore, the probability the neighbor forgot to water the plant is 0.2416

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3 years ago

An irrational number is considered irrational if it meets one of two rules. What are the two rules?

uranmaximum [27]

Answer:

Step-by-step explanation:

A number that cannot be exactly expressed as a ratio of two integers.

An irrational number cannot be written as a simple fraction.

Pi is a famous irrational number.

5 0

3 years ago

Sam has sewn three square tablecloths of different sizes. He determines the length of the diagonal of each square tablecloth.

Reika [66]

Answer:

Step-by-step explanation:

the square root of 12 is 3.4 so the answer is 3.4

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2 years ago

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

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3 years ago

Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic c

Lynna [10]

8 because 2^3 or 2 x 2 x 2 = 8

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3 years ago