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Tatiana [17]
3 years ago
8

Simplify (12a5−6a−10a3)−(10a−2a5−14a4) . Write the answer in standard form

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Answer:

=14a^5+14a^4-10a^3-16a

Step-by-step explanation:

\left(12a^5-6a-10a^3\right)-\left(10a-2a^5-14a^4\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=12a^5-6a-10a^3-\left(10a-2a^5-14a^4\right)\\-\left(10a-2a^5-14a^4\right):\quad -10a+2a^5+14a^4\\-\left(10a-2a^5-14a^4\right)\\\mathrm{Distribute\:parentheses}\\=-\left(10a\right)-\left(-2a^5\right)-\left(-14a^4\right)\\Apply\:minus-plus\:rules\\-\left(-a\right)=a,\:\:\:-\left(a\right)=-a\\=-10a+2a^5+14a^4\\=12a^5-6a-10a^3-10a+2a^5+14a^4

\mathrm{Simplify}\:12a^5-6a-10a^3-10a+2a^5+14a^4:\quad 14a^5+14a^4-10a^3-16a12a^5-6a-10a^3-10a+2a^5+14a^4\\Group\:like\:terms\\=12a^5+2a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:12a^5+2a^5=14a^5\\=14a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:-6a-10a=-16a\\=14a^5+14a^4-10a^3-16a

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A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let
kondaur [170]

Answer:

Null hypothesis: p_1 -p_2 =0,

Alternative hypothesis:p_1 -p_2 > 0  

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

Some Notation

p_1 represent the proportion of the news media that is Democrat

p_2 represent the proportion of the public that is Democrat

On this case the claim that they want to test is: "That a larger proportion of members of the news media are Democrats when compared to the general public". So we want to check if the population proportion p1 is higher than p2, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Null hypothesis:p_1 \leq p_2

Or p_1 -p_2 \leq 0

The null hypothesis can be on this way: p_1 -p_2 =0, but is better put the complement of the alternative hypothesis.    

Alternative hypothesis:p_1 -p_2 > 0  

5 0
3 years ago
What is an equivalent fraction of 2
Sati [7]

Answer:

\frac{2}{1}

Step-by-step explanation:

\frac{2}{1} = 2

If a fractions denominator is a one that means the fraction is equal to the numerators whole number in this case we have 2/1 since the denominator is a 1 that means the whole fraction is equal to 2 because the numerator is 2.

Hope this helps.

6 0
3 years ago
Find the radius of a circle with a diameter of 14 cm
neonofarm [45]
Answer :-

R= 7

Explanation:-

The diameter is 2 times the radius

So the radius is 14/2 =7
5 0
4 years ago
Read 2 more answers
2. Un auto viaja a 60 km/h y se detiene a los 2 segundos. qué distancia recorrió en el
posledela

Se calcula que la aceleración es - 8,35 m/s.

<h3 /><h3>¿Qué es la aceleración?</h3>

Ahora sabemos lo siguiente de la pregunta;

Velocidad inicial (u) = 60 km/h o 16,7 m/s

Tiempo empleado (t) = 2 s

Dado que;

v = tu + en

v = 0 m/s porque el carro se detenía

tu = -en

a = -(u/t)

 a= -1(6,7 m/s/2 s)

a =- 8,35 m/s

La aceleración es negativa porque la velocidad disminuye con el tiempo.

Obtenga más información sobre la aceleración: brainly.com/question/12550364

#SPJ1

5 0
2 years ago
Which number sentence is true?A.-1.5 + (-0.5) = 2.0B.2.5 + (-1.5) = 1.0C.-1.5 + (-0.5) = -1.0D.-2.5 + 3.5 = -1.0
Anni [7]

Answer: B

Step-by-step explanation: the other ones are wrong.

4 0
3 years ago
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