10 m<br> 8 m<br> 6.2 m<br> 8 m<br> What’s the area

(5 - 7i)(8 + i)

docker41 [41]

Answer:

(5 - 7i)(8 + i)

F) 40 - 561

H) 37 - 371

K) -16 - 2i

G) -33 - 61i

J) 47 - 51i

- 9 below

Step-by-step explanation:

7 0

1 year ago

A city's population is currently 500,000. If the population doubles every 65 years, what will the population be 130 years from n

kompoz [17]

Answer:

2,000,000

Step-by-step explanation:

Simple maths, really.

65 times 2 is 130, and the population is already 500,000 with no time passing. 65 years later, the population would be 1,000,000. 65 years after that, the population would double again, so the answer would be 2 million.

Hope this helped!

5 0

2 years ago

The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

5 0

2 years ago

Read 2 more answers

The number of students in a school increased by 25%between last year and this year. Last year there were 250 students in the sch

alexandr1967 [171]

I think it's 275 sorry if I'm wrong

5 0

2 years ago

Read 2 more answers

For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of eight types of automobile, the linear correl

Jobisdone [24]

Answer:

The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.

Step-by-step explanation:

We have that the correlation coefficient shows the relationship between the weights and amounts of road fuel consumption of seven types of car, now the P value establishes the importance of this relationship. If the p-value is lower than a significance level (for example, 0.05), then the relationship is said to be significant, otherwise it would not be so, this case being 0.003 not significant.

The statement would be the following:

The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.

5 0

2 years ago

10 m 8 m 6.2 m 8 m What’s the area