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3 years ago

Which statement best explains why this expression is equal to 9.49.4? 9.4 + 9.4a(0)/-9.4

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

3 0

Answer:

The given expression is

$9.4+\frac{9.4a(0)}{-9.4}$

So, basically this expression would result in

$9.4+\frac{9.4a(0)}{-9.4}=9.4$

The result would be just 9.4 because the product in the numerator of the fraction is null, because one of the factors is zero, and every number multiplied by zero equals zero, so the whole fraction expression is null because of that, that's why the answer is 9.4

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Prove that 1=2 with well arranged steps and justify each step

Shtirlitz [24]

<span>Justification Step 1: Let a = b. Step 2: Then a^2 = ab , Step 3: a^2 + a^2 = a^2 + ab , Step 4: 2a^2=a^2 + ab, Step 5: 2a^2 - 2ab = a^2 + ab - 2ab, Step 6: and 2a^2 - 2a^b = a^2 + ab - 2ab . Step 7: This can be written as 2(a^2 - ab) = 1(a^2 - ab) , Step 8: and cancelling the (a^2 - ab) from both sides gives 1 = 2.</span>

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3 years ago

Batman (mass=100 kg) jumps straight down from a bridge in to a boat (mass = 580 kg) in which a criminal is fleeing. The velocity

Crank

Answer:

$v_b=11.94\ m/s$

Step-by-step explanation:

<u>Linear Momentum </u>

The momentum of a system of masses m1,m2,m3... with speeds v1,v2,v3,... is given by

$M=m_1v_1+m_2v_2+m_3v_3+...$

When some interactions take place into the system of masses with no external forces interferring, the total momentum is not changed, which means that if the new speeds are v1', v2', v3'... then:

$m_1v_1+m_2v_2+m_3v_3+...=m_1v_1'+m_2v_2'+m_3v_3'+...$

The problem relates the story of Batman (m1=100kg) who is initially assumed at rest and lands on a boat with mass m2=580 kg initially moving at 14 m/s to the positive reference. When the collision takes place, both masses join and a common speed $v_b$ is achieved by the common mass. Applying the conservation of momentum, we have

$m_1v_1+m_2v_2=(m_1+m_2)v_b$

Since $v_1=0$

$m_2v_2=(m_1+m_2)v_b$

Solving for $v_b$

$\displaystyle v_b=\frac{m_2v_2}{m_1+m_2}$

$\displaystyle v_b=\frac{(580)(14)}{100+580}$

$\boxed{v_b=11.94\ m/s}$

7 0

3 years ago

Name the property of real numbers illustrated by the equation 2x + 4y = 4y + 2x.

nata0808 [166]

Distributive property i think

4 0

3 years ago

PLEASE HELPPP ASAP

lesya692 [45]

A. the value of the function will approach zero as the value of x gets very large.
b. when x=0, the function is undefined, because 1/x is a fraction and the denominator of a fraction cannot be zero.

7 0

4 years ago

An argonomist measured the heights of n corn plants. The mean height was 220 cm, and the standard deviation was 15 cm. Calculate

Taya2010 [7]

Answer:

The standard error of the mean for a sample size of 100 is 1.5.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation, which is also called standard error, $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\sigma = 15$

Calculate the standard error of the mean for a sample size of 100.

This is s when n = 100. So

$s = \frac{15}{\sqrt{100}} = 1.5$

The standard error of the mean for a sample size of 100 is 1.5.

4 0

3 years ago