All categories

3 years ago

Which statement BEST explains the relationship among these three facts?

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

7 0

Answer:

The chocolate drink became popular in Europe, because sugar made it taste better.

Hope this helps! :)

nikitadnepr [17]3 years ago

5 0

Answer:

<h2>The chocolate drink became popular in Europe because sugar made it taste better.</h2>

Step-by-step explanation:

According to the problem, we have the following premises:

Natural chocolate taste bitter.
The Spanish began adding sugar to chocolate water.

Chocolate houses appeared throughout Europe.

From this premises, we can deduct that once The Spanish added sugar to the chocolate, it became popular and Chocolate houses appeared to sell this product. But, only after adding sugar, because before it, people don't like it, because natural chocolate doesn't taste good.

Therefore, the right conclusion among the options would be:

<em>The chocolate drink became popular in Europe because sugar made it taste better.</em>

You might be interested in

Rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81

noname [10]

Answer:

4(x-4.5)^2

Step-by-step explanation:

h(x)=4x^2-36x+81

=4(x^2-9x)+81

=4(x^2-9x+20.25)-(4)(20.25)+81

=4(x-4.5)^2

6 0

3 years ago

How to differentiate ?

Bas_tet [7]

Use the power, product, and chain rules:

$y = x^2 (3x-1)^3$

• product rule

$\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d(x^2)}{\mathrm dx}\times(3x-1)^3 + x^2\times\dfrac{\mathrm d(3x-1)^3}{\mathrm dx}$

• power rule for the first term, and power/chain rules for the second term:

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(x-1)^2\times\dfrac{\mathrm d(3x-1)}{\mathrm dx}$

• power rule

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(3x-1)^2\times3$

Now simplify.

$\dfrac{\mathrm dy}{\mathrm dx} = 2x(3x-1)^3 + 9x^2(3x-1)^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2 \times (2(3x-1) + 9x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2(15x-2)}$

You could also use logarithmic differentiation, which involves taking logarithms of both sides and differentiating with the chain rule.

On the right side, the logarithm of a product can be expanded as a sum of logarithms. Then use other properties of logarithms to simplify

$\ln(y) = \ln\left(x^2(3x-1)^3\right) \\\\ \ln(y) = \ln\left(x^2\right) + \ln\left((3x-1)^3\right) \\\\ \ln(y) = 2\ln(x) + 3\ln(3x-1)$

Differentiate both sides and you end up with the same derivative:

$\dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac2x + \dfrac9{3x-1} \\\\ \dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \times x^2(3x-1)^3 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(15x-2)(3x-1)^2$

7 0

2 years ago

IF A MAN TRAVELS 380 METERS IN 20 SECONDS, HOW FAR DOES HE TRAVELNIN 3 SECONDS?

KATRIN_1 [288]

Answer:19

Step-by-step explanation: 380 divide by 20 is 19

give me brainliest please

4 0

2 years ago

Which expression is equivalent???<br><br> Please help!!

My name is Ann [436]

Answer:

answer is d.-3/2x +5

Step-by-step explanation:

this was tough but I did it. First you multiply all the terms with 1/4. Then just simplify the terms by breaking them down and then apply normal addition and subtraction. Simple. Thank you

8 0

3 years ago

If the order of three loci is A B C, and the map distance between A and B is 15 m.u., and the map distance between B and C is 20

zysi [14]

Answer:

Therefore, we conclute that the map distance between A and C is 35 m.u..

Step-by-step explanation:

We know that the order of three loci is A B C, and the map distance between A and B is 15 m.u., and the map distance between B and C is 20 m.u. We calculate the map distance between A and C.

Therefore, we get

$AC=AB+BC\\\\AC=15+20\\\\AC=35\\$

Therefore, we conclute that the map distance between A and C is 35 m.u..

4 0

3 years ago