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3 years ago

A three-letter word used to show division in a word problem.

Mathematics

2 answers:

Helga [31]3 years ago

6 0

Quotient, dividend, equal to.
hope that this helps you!! =)

Alenkinab [10]3 years ago

4 0

Divided by. The quotient of. And half of

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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A

alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) = 128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) = 128°(0.989)^22.3 + 72 = 172°

8 0

3 years ago

Helpppppppppppppppp ill mark you brainlist write in y=mx+b form

Alex Ar [27]

Answer:

I think: 0 = 3x + b or b = -3x + 0 or x = -b + 0/3 or 3 = -b + 0/x

Sorry if you get this wrong..

4 0

2 years ago

Factor as the product of two binomials x^2-3x-10

cestrela7 [59]

Answer:

(x-5)(x+2)

Step-by-step explanation:

Hello there!

Your expression there has a highest power of $x^{2}$ , so there will be two constants that you need to find.

Your last term is -10, so the constants will have a product of -10. Also your middle term is -3x, so the terms will add up to -3

-5 and 2 fit the mold.

Have a great day!

If I am most helpful, mark me brainliest!

3 0

3 years ago

Write the following as an inequality

Ipatiy [6.2K]

Answer:

3 ≤ w ≤ 4

Step-by-step explanation:

the statements are 3 ≤ w and 4 ≥ w ( or w ≤ 4 )

These can be combined into the single inequality

3 ≤ w ≤ 4

4 0

3 years ago

Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16

sweet-ann [11.9K]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

Given:

$2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)$

Use the Power Rule Law:

$log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)$

Use the Quotient Rule Law:

$log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})$

Use the Product Rule Law:

$log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})$

Simplify:

$log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})$

$\frac{4}{9}=\frac{8\sqrt{x}}{9}$

$4=8\sqrt{x}$

$\frac{4}{8}=\sqrt{x}$

$\frac{1}{2}=\sqrt{x}$

$\frac{1}{4}=x$

5 0

2 years ago