How do you write 4.59 × 101 in standard form?

I dont get this so cant help daughter

sergey [27]

1.

We are told that the coordinates of the image are of the formula:

P'(x-2 , y-3) where x and y are the actual points and x-2 and y-3 are the reflections

Finding the coordinates of point A:

We are given that the coordinates of reflection of A are: A'(-4 , 3)

we also know that reflected point follow the formula: P'(x-2 , y-3)

So, the points of A'(-4 , 3) follow the formula P'(x-2 , y-3)

So, their respective x and y coordinates will be equal

Hence,

x - 2 = -4

x = -2 [adding 2 on both sides]

Also,

y - 3 = 3

y = 6 [adding 3 on both sides]

Therefore, the coordinates of A are A(-2,6)

Finding the coordinates of B:

We are given the coordinates of B' are B'(-4 , 2)

So,

x - 2 = -4

x = -2 [adding 2 on both sides]

also,

y-3 = 2

y = 5 [adding 5 on both sides]

Therefore, the coordinates of B are: B(-2,5)

Finding the coordinates of C:

We are given that the coordinates of reflection of C are: C'(-2,3)

Using the general formula given in the question:

x - 2 = -2

x = 0 [adding 2 on both sides]

y - 3 = 3

y = 6 [adding 3 on both sides]

Therefore, the coordinates of C are: C(0,6)

Finally, the coordinates of A, B and C are:

A(-2,6) , B(-2,5) , C(0,6)

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2.

Reflecting the pre-image along the x-axis

To reflect along x-axis, we multiply the y-coordinate by -1

Coordinates of the pre-image:

A(-2,6) , B(-2,5) , C(0,6)

Coordinates of points reflected along the x-axis:

A(-2,-6) , B(-2,-5) , C(0,-6)

5 0

3 years ago

What value of x makes this proportion true 3/x=15/40

r-ruslan [8.4K]

3/x=15/40
solve for x
multiply both sides by x
3=15x/40
multiply both sides by 40
120=15x
dvide both sdies by 15
8=x

the answer is 8

or you could simplifyy 15/40 to get 3/8

8 0

3 years ago

Read 2 more answers

A factory inspector found flaws in 1 out of 15 wooden boxes. What is the experimental probability that the next wooden box will

NikAS [45]

First do 1/15=0.06
then 0.06 as a fraction is 6/100

6/100 can be turn into 3/50

3/50 is the answer :)

5 0

3 years ago

300 dividea by 30 gets me to what

madreJ [45]

It gets you to ten, Hope its right

4 0

3 years ago

Read 2 more answers

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c

siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that $\sigma = 0.26$

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.645\frac{0.26}{\sqrt{n}}$