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2 years ago

Solve the equation below for y.

Mathematics

1 answer:

Crazy boy [7]2 years ago

6 0

A

Because 8x - 2y = 24 is equal to -2y = -8x + 24 is equal to y = 4x - 12.

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a rectangular field is 0.45 kilometers long and 0.3 kilometers wide what is the area of the field in square meters?

bekas [8.4K]

Answer:135000

Step-by-step explanation:

5 0

3 years ago

Water whose temperature is at 100∘C is left to cool in a room where the temperature is 60∘C. After 3 minutes, the water temperat

Tju [1.3M]

Answer:

21.68 minutes ≈ 21.7 minutes

Step-by-step explanation:

Given:

$T=60+40e^{kt}$

Initial temperature

T = 100°C

Final temperature = 60°C

Temperature after (t = 3 minutes) = 90°C

Now,

using the given equation

$T=60+40e^{kt}$

at T = 90°C and t = 3 minutes

$90=60+40e^{k(3)}$

$30=40e^{3k}$

$e^{3k}=\frac{3}{4}$

taking the natural log both sides, we get

3k = $\ln(\frac{3}{4})$

3k = -0.2876

k = -0.09589

Therefore,

substituting k in 1 for time at temperature, T = 65°C

$65=60+40e^{( -0.09589)t}$

$5=40e^{( -0.09589)t}$

$e^{( -0.09589)t}=\frac{5}{40}$

$e^{( -0.09589)t}=0.125$

taking the natural log both the sides, we get

( -0.09589)t = ln(0.125)

( -0.09589)t = -2.0794

t = 21.68 minutes ≈ 21.7 minutes

6 0

3 years ago

A hot air balloon hovers 75 feet above the ground. The balloon is tethered to the ground

DIA [1.3K]

Angle of elevation is 37°

<u>Step-by-step explanation:</u>

As we have the opposite side 75 ft to the angle and the hypotenuse 125 ft, we can find the sine value as,

sin θ = opp/ hyp

= 75/125

= 0.6

θ = sin⁻¹ (0.6) = 36.9°≈ 37°

So angle of elevation is 37°.

3 0

3 years ago

Slope 3, passing through the point (2,2)

den301095 [7]

(y-y1)=m(x-x1) where m is the slope and (x1 and y1 ) are the points

(y-2) = 3(x-2)

y-2=3x-6 add 2 to each side

y-2+2=3x-6+2

y=3x-4

5 0

3 years ago

Which of the following is a reasonable estimated answer to the following problem?

bulgar [2K]

$989,867 \approx 1,000,000$
$999 \approx 1000$

$\implies \frac{989,867}{999} \approx \frac{1,000,000}{1000}$
$\frac{1,000,000}{1000} = 1000$

So the answer is approximately 1000.

4 0

3 years ago

Read 2 more answers