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Gemiola [76]
3 years ago
10

Explain the error in the work shown. Find the correct answer.

Mathematics
2 answers:
svetlana [45]3 years ago
3 0

The bases were not the same when the exponents were set equal to each other.

16 should have been written as 4 squared.

The exponent on the right should be 4a instead of 8a.

The correct solution is a=-3/4.

Lesechka [4]3 years ago
3 0

Answer:

a=-\frac{3}{4}

Step-by-step explanation:

We have to find the error in the given work.

\frac{1}{64}=(16)^{2a}

Reason: Given

\frac{1}{(4)^3}=((2)^4)^{2a}

\frac{1}{a^x}=a^{-x}

Using the property then we get

4^{-3}=((2)^4)^{2a}

4^{-3}=2^{8a} By the property ((a^x)^y=a^{xy})

((2)^2)^{-3}=2^{8a}

2^{-6}=2^{8a}

When bases are equal then power will be equal

Therefore, 8a=-6

a=\frac{-6}{8}=-\frac{3}{4}

But in given work bases are not same but he wrote power equal.

This is the error in given work.He wrote 4^{-3} instead of 2^{-6}

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Which of the following p values will lead us to reject the null hypothesis if the level of significance equals .05?
V125BC [204]

Answer:

So then our significance level is \alpha=0.05 and we need to remember these two conditions:

1) If the p value p_v we have enough evidence to reject the null hypothesis at the significance level given

2) If the p value p_v \geq \alpha we have enough evidence to FAIL reject the null hypothesis at the significance level given

And baed on the options we see that the only possibility would be:

d. 0.015

Step-by-step explanation:

We want to know for which value we would REJECT the null hypothesis.

So then our significance level is \alpha=0.05 and we need to remember these two conditions:

1) If the p value p_v we have enough evidence to reject the null hypothesis at the significance level given

2) If the p value p_v \geq \alpha we have enough evidence to FAIL reject the null hypothesis at the significance level given

And baed on the options we see that the only possibility would be:

d. 0.015

7 0
3 years ago
In the problem 100 divided by 25 equals 4 the the what is 100
Mekhanik [1.2K]

Answer:

<em>Dividend</em>

Step-by-step explanation:

Dividend is a number that is to be divides by other.

So 100 is a dividend.

25:

A divisor.

A divisor is a number to be divided by.

4:

Result of the division

6 0
3 years ago
It takes 300 newtons of force and a distance of 20 meters for a moving car to come to stop. How much work is a one n the cart?
IceJOKER [234]
Work done on cart
:

W
=
6000

J
Kinetic energy of cart
:

E
K
=
6000

J
Explanation:
Work done
W
is defined as the product of force
F
and distance
s
:
⇒
W
=
F
⋅
s
Let's substitute the values of
F
and
s
into the equation:
⇒
W
=
300

N

⋅
20

m
⇒
W
=
300

kg

⋅

m s
−
2

⋅
20

m
⇒
W
=
300
⋅
20

kg

⋅

m
2

s
−
2
⇒
W
=
6000

kg

⋅

m
2

s
−
2
∴
W
=
6000

J
The gain in kinetic energy
E
K
is the same amount as the work done moving the cart:
∴
E
K
=
6000
7 0
3 years ago
26 + 58 rounded to the nearest ten​
Tanya [424]

Answer:

80

Step-by-step explanation:

4 0
3 years ago
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Charlie was carrying around the steps to solve Square root of 6x plus 4 = 8. On his way through the Math Factory, Charlie droppe
fomenos

Answer: Order will be F,D,C and Fourth Option is correct and  x = 10

Step-by-step explanation:

Since we have given that

\sqrt{6x+4}=8

We first transpose the square root to the right , so it becomes square of 8,i.e.

6x+4=8^2\\\\6x+4=64

Now, transpose 4 to the right so it will get subtract from 64 i.e.

6x=64-4\\\\6x=60

Since 6 is multiplied to x on tranposing it will get divided by 60 i.e.

x=\frac{60}{6}\\\\x=10

Hence, on simplification, we get x=10.

Hence , the order is F,D,C.

6 0
3 years ago
Read 2 more answers
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