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2 years ago

A boy is x Years old his sister is 4 years older if the sum of their ages is 18 what is his age

Mathematics

1 answer:

Alex Ar [27]2 years ago

8 0

The answer would be 14 because 14+4 equals 18

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What is the formula for the discriminant?

Dennis_Churaev [7]

Answer:

In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2.

Step-by-step explanation:

4 0

2 years ago

A cooler has a temperature of 32 degrees Fahrenheit. A bottled drink is placed in the cooler with an initial temperature of

FinnZ [79.3K]

Answer:

$k \approx 0.44$

Step-by-step explanation:

Given function:

$f(t) = (ce)^{-kt}+32$

As per question statement:

Initial temperature of bottle is 70 $^\circ F$ .

i.e. when time = 0 minutes, f(t) = 70 $^\circ F$

$70 = ce^{-k\times 0}+32\\\Rightarrow 38 = ce^{0}\\\Rightarrow c = 38$

After t = 3, f(t) = 42 $^\circ F$

$42 = 38 \times e^{-k\times 3}+32\\\Rightarrow 42-32 = 38 \times e^{-3k} \\\Rightarrow 10 = 38 \times e^{-3k} \\\Rightarrow e^{3k} = \dfrac{38}{10}\\\Rightarrow e^{3k} = 3.8\\\\\text{Taking } log_e \text{both the sides:}\\\\\Rightarrow log_e {e^3k} = log_e {3.8}\\\Rightarrow 3k \times log_ee=log_e {3.8} (\because log_pq^r=r \times log_pq)\\\Rightarrow 3k \times 1=log_e {3.8}\\\Rightarrow 3k = 1.34\\\Rightarrow k = \dfrac{1.34}{3}\\\Rightarrow k \approx 0.44$

Hence, the value is:

$k \approx 0.44$

8 0

3 years ago

Please help me I have no idea what I'm doing :(

Charra [1.4K]

Answer: A. 100%

Step-by-step explanation:

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2 years ago

What is the solution to the following inequality? x/-3 ≤ 3 A) x ≥ 6 B) x ≤ -9 C) x ≥ 1 D)x ≥ -9

arsen [322]

Answer:

option D

Step-by-step explanation:

x/-3≤3

multiply by (-1) on both sides

x/3≥-3

x>=-9

5 0

3 years ago

Read 2 more answers

a pot of water starts at 68 degrees it is put on stove where it heats at a rate of 4 degrees per minute how long will it take to

Vladimir79 [104]

Y=68+4x
100=68+4x
-68=-68
32=4x
Divide both sides by 4
x=it will take 8 min. for the water to reach 100 degrees
y=total degrees
x=# of minutes

4 0

2 years ago

A boy is x Years old his sister is 4 years older if the sum of their ages is 18 what is his age​

A boy is x Years old his sister is 4 years older if the sum of their ages is 18 what is his age