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3 years ago

Which expression is equivalent to 10° ?

Mathematics

2 answers:

Sergio [31]3 years ago

5 0

Answer:

The first one: 10*10*10*10*10*10

Step-by-step explanation:

This is because the power of a number is how many times you multiply it by itself (example: $2^{4}$ = 2*2*2*2 because the power is 4 which means you multiply the base by itself 4 times, in this case the base is 2)

geniusboy [140]3 years ago

5 0

Answer:

A. 10 · 10 · 10 · 10 · 10 · 10

Step-by-step explanation:

$10^6$ is just 10 times itself, 6 times.

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WILL MARK BRAINLIEST!!! PLZ HELP! The following graph describes function 1, and the equation below it describes function 2. Dete

Assoli18 [71]

Answer:

Step-by-step explanation:

The maximum/minimum values is simply the y-value of the vertex. Since both of the functions have a negative leading coefficient, they will both have maximum values.

For Function 1, we can see that the vertex is at (4,1). Thus, it's maximum value is at y=1.

For Function 2, we need to work out the vertex. To do this we can use:

$x=\frac{-b}{2a} ,y=f(-b/2a)$

To find the vertex.

Function 2 is defined by:

$f(x)=-x^2+4x+1$

Therefore:

$a=-1, b=4, c=1$

$x=-(4)/2(-1)=-4/-2=2\\f(2)=-(2)^2+4(2)+1\\=-4+8+1\\=4+1=5$

Thus, the vertex of Function 2 is at (2,5). Therefore, the maximum value of Function 2 is y=5.

5 is greater than 1, so the maximum value of Function 2 is greater.

The answer is choice C.

6 0

3 years ago

Daniel rollerbladed 3 miles in 12 minutes. At this rate, how many miles will he rollerblade in 1 hour? Show your work.

Yakvenalex [24]

Answer:

Daniel is rollerblading at 15 miles per hour

Daniel can go 3 miles in 12 minutes so we do 12÷3 to find out how many minutes it takes to go 1 mile which is 4 now we do 60÷4 to get 15

Alternatively we could do 60÷12 to get 5 then do 3×5 to get 15

Step-by-step explanation:

3 0

3 years ago

he American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 45 w

Sonja [21]

Answer:

The 85% confidence interval is (0.2187, 0.2613).

Step-by-step explanation:

We have a large sample of size n = 830 Americans over 45. We have observed that 631 people don't smoke. Let p be the population proportion of Americans over 45 who smoke. An point estimate of p is $\hat{p} = 199/830 = 0.24$ and an estimate of the standard deviation of $\hat{p}$ is $\sqrt{\hat{p}(1-\hat{p})/n} = \sqrt{(0.24)(0.76)/830}$ = 0.0148. Therefore, because we have a large sample, the 85% confidence interval for the population proportion is given by $\hat{p}\pm z_{\alpha/2}\sqrt{\hat{p}(1-\hat{p})/n} = 0.24\pm z_{0.15/2}0.0148 = 0.24\pm z_{0.075}0.0148$ where $z_{0.075}$ is the 7.5th quantile of the standard normal distribution, i.e., -1.4395. Therefore the 85% confidence interval is $0.24\pm (1.4395)(0.0148)$ or equivalently (0.2187, 0.2613).