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3 years ago

How would you Evaluate. 5⋅4 ^0

1 answer:

7 0

It is understood that 5.4^0 is the number 5.4 raised to the power zero.

There is a rule for this: any number raised to the power zero is 1.

So, 5.4 ^ 0 = 1.

You can show that any number raised to the power of zero is 1 using this:

A^0 = (A)^(m - m) = [A^m] / [A^m]

Given that the numerator and the numerator of that fraction are equals the result is 1.

You might be interested in

What is the product of 1 2/3 and -3 1/2

natulia [17]

Answer:

-5 5/6

Step-by-step explanation:

1 2/3=5/3

-3 1/2=-7/2

5/3*-7/2=-35/6= -5 5/6

6 0

2 years ago

Read 2 more answers

Which equation is quadratic in form?

prohojiy [21]

Answer:

the quadratic formula is ax^2 + bx + c", if the first one is expanded out I will be 6x^2+8x+27 so that's the answer

4 0

2 years ago

A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions o

Talja [164]

Percent change is 100%

Step-by-step explanation:

Step 1: Find the perimeter of the first garden when length = 6 ft and width = 4 ft

Perimeter = 2 (length + width)

= 2 (6 + 4) = 2 × 10 = 20 ft

Step 2: Find the perimeter of the second garden when length = 12 ft and width = 8 ft (∵ dimensions are doubled)

Perimeter = 2 (12 + 8) = 2 × 20 = 40 ft

Step 3: Find the percent change in perimeter

Percent Change = Final value - initial value/Initial Value × 100

= (40 - 20/20) × 100

= 1 × 100 = 100%

5 0

2 years ago

The tire of his unicycle has a circumference of 2.8m , point,, and the tire revolves 1.51.51, point, 5 times per second. What is

I am Lyosha [343]

Answer:

Benjamin travels 7 meters in 100 seconds.

Step-by-step explanation:

We are given the following in the question:

Circumference of tire = 2.8 m

Revolution of time = 1.5 times per minute.

Total time = 100 seconds.

We have to calculate distance covered by Benjamin.

Total number of revolution of tires =

$=\text{Revolution rate}\times \text{Time}\\\\=1.5\text{ revolution per minute}\times \dfrac{100}{60}\text{ minutes}\\\\=2.5 \text{ revolutions}$

Total distance covered by Benjamin =

$=\text{Number of revolution of tires}\times \text{Circumference of tire}\\=2.5\times 2.8\\=7\text{ meters}$

Thus, Benjamin travels 7 meters in 100 seconds.

8 0

3 years ago

Test the claim that the proportion of people who own cats is larger than 40% at the 0.025 significance level. The null and alter

Alecsey [184]

Answer:

H 0 : p ≤ 0.4 H a : p > 0.4

And based on the alternative hypothesis we can conclude that we have a right tailed test

Step-by-step explanation:

Data given

n=300 represent the random sample size

$\hat p=0.45$ estimated proportion of people with cats

$p_o=0.40$ is the value that we want to test

$\alpha=0.025$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Null and alternative hypothesis

We want to test if the true proportion of people with cats is higher than 0.4, so then the best alternative is:

Null hypothesis: $p\leq 0.4$

Alternative hypothesis: $p > 0.4$

H 0 : p ≤ 0.4 H a : p > 0.4

And based on the alternative hypothesis we can conclude that we have a right tailed test

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.45 -0.4}{\sqrt{\frac{0.4(1-0.4)}{300}}}=1.768$

5 0

2 years ago