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4 years ago

The point (-7,1) when reflected across the origin maps onto

Mathematics

1 answer:

swat324 years ago

4 0

Answer:

(7,-1)

Step-by-step explanation:

common rule for reflections across the origin; im guessing you meant a reflection across the line y=x since it goes through the origin too.

for this make sure to add this transformation:

(x,y) --> (-x,-y)

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The length of a rectangular box is 4 times its width, and its height is 7in more than its width. The volume of the box is 126in3

Ierofanga [76]

Answer:

1.88 inches

Step-by-step explanation:

The volume is the product of length, width, and height. If w represents the width of the box, then its length is 4w and its height is w+7. The volume is then ...

V = (4w)(w)(w+7)

We want to find the value of w that makes V=126. It is convenient to use the graphing calculator to look for zeros of a function, so we can write the equation as ...

V - 126 = 0

4w·w·(w+7) -126 = 0

The only positive solution to this equation is near w ≈ 1.883.

The width of the box is about 1.88 inches.

_____

Attached is output from the DESMOS free graphing calculator. The ALEKS calculator requires a subscription. The method of solution is substantially the same, but requires a little more work on the ALEKS calculator to find the zero-crossing.

8 0

3 years ago

4. For which of the following probability assignments are events A and B independent?

Aleksandr [31]

Answer:

Step-by-step explanation:

formatting is so bad lol

but yeah its the first one because for independent events, the probably of a and b is the product of both probabilities, just like how 0.3*0.4=0.12

3 0

3 years ago

Abril and Alanis put some money into their money boxes every week. The amounts of money (y), in dollars, in their money boxes af

AnnZ [28]

Answer:

A. 3 weeks, $160

Step-by-step explanation:

If the value of y is same for both then we have equal right sides of equations

50x + 10 = 30x + 70

Solve this for x

50x - 30x = 70 - 10
20x = 60
x = 60/20
x = 3

Find the value of y

y = 50*3 + 10 = 150 + 10 = 160

Correct choice is A

8 0

2 years ago

Working alone, Jack can do a puzzle in 5 hours. With his brother's help, the two can do the same puzzle in 2 hours. How long wou

Ulleksa [173]

Answer:

3 hours

Step-by-step explanation:

5 - 2 = 3

8 0

3 years ago

Read 2 more answers

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. determ

Temka [501]

The confidence interval would be (0.122, 0.278).

We first find our z-score. We want a 95% confidence interval:

0.95/2 = 0.475

Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.

The formula we will use is:

$p \pm z\sqrt{\frac{p(1-p)}{n}}$

In this problem, p = 20/100 = 0.2, and n=100:

$0.2 \pm 1.96\sqrt{\frac{(0.2)(0.8)}{100}}
\\
\\0.2\pm 0.0784
\\
\\(0.2-0.0784, 0.2+0.0784)
\\
\\(0.1216,0.2784)$

8 0

4 years ago