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3 years ago

What are the coordinates of vertex J of the pre-image?

Mathematics

1 answer:

Dvinal [7]3 years ago

3 0

The figure is a rhombus J' K' L' M' in a coordinate plane, showing all its vertices.

The vertex J' is the point (0, -2).

And the statement indicates that the quadrilateral JKLM was transformed into the figure J'K'L'M' by the dilation (x,y) -> (x/2, y/2).

Then you have to find the preimag of J' which is J.

You know that x was multiplied by 1/2 to transform into 0, then x/2 = 0 => x =0

And y was mutilplied by 1/2 to transform into -2, then y/2 = -2 => y = -4.

And the pre-image is (0, -4)

Answer: (0, -4)

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In a survey of a community, it was found that 55%

ella [17]

Answer:

The number of people who like winter season is 1000.

Step-by-step explanation:

Event event correspond to a set in the Venn diagram, and we use it to find the percentages.

I am going to say that:

Event A: Like summer season

Event B: Like winter season.

55% like summer season

This means that $P(A) = 0.55$

20% like winter season

This means that $P(B) = 0.2$

40% don't like both seasons

This means that 100% - 40% = 60% like at least one, which means that $P(A \cup B) = 0.6$

Proportion who like both:

This is $P(A \cap B)$ . The measures are related by the following equation:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cap B) = P(A) + P(B) - P(A \cup B)$

Using what we have

$P(A \cap B) = 0.55 + 0.2 - 0.6 = 0.15$

750 like both seasons.

This is 15% of the sample. So the total number of people is t, for which:

$0.15t = 750$

$t = \frac{750}{0.15}$

$t = 5000$

20% like winter season

Out of 5000. So

0.2*5000 = 1000

The number of people who like winter season is 1000.

7 0

2 years ago

Find the annual percentage yield (APY) in the following situation. A bank offers an APR of 4.8% compounded daily. The annual per

sweet-ann [11.9K]

Answer:

4.92%

Step-by-step explanation:

First of all, recall that if you increase a number C in x%, then you will have $C+\frac{x}{100}C=C(1+\frac{x}{100})$

So increasing a number in x% is equivalent to multiply it by (1+x/100)

Now, suppose you have deposited $C where C is any amount > 0

If the bank offers an APR of 4.8% compounded daily, it means that your money increases $\frac{4.8}{365}\%=\frac{0.048}{365}$ daily.

So, after 365 days you will have

C multiplied by (1+0.048/365) 356 times, that is

(1) $C(1+\frac{0.048}{365})^{365}=C(\frac{365.048}{365})^{365}$

Now, you want to find a value x, such that C increased in x% equals the amount in (1).That would be the percentage your money increased in one year (APY)

$C(\frac{365.048}{365})^{365}=C(1+\frac{x}{100})\Rightarrow x=100[(\frac{365.048}{365})^{365}-1]$

Computing this amount, we get

x = 4.92 rounded to the nearest hundreth.

And the bank is offering an APY of 4.92%

7 0

3 years ago

3) On a map, Shanti's house is located at (-5,6), the

givi [52]

Answer:

10 units and 2 units is our answer

5 0

3 years ago

What is the value of 36X negative Y over to when X equals three and Y equals -6

Rus_ich [418]

Note:

Your question is a little unclear. But, from my understanding, I assume you may be asking the evaluation of the expression 36x - y when x = 3 and y = -6.

so I will solve based on my assumption which anyways would clear your concept.

Answer:

The value of 36x - y when x = 3 and y = -6 will be: 114

Step-by-step explanation:

Given

Assuming the expression

36x - y

To Determine

Evaluate 36x - y when x = 3 and y = -6

Given the expression

$36x - y$

substitute x = 3 and y = -6 to evaluate the expression

$36x-y= 36(3) - (-6)$

$= 108+6$

$= 114$

Therefore, the value of 36x - y when x = 3 and y = -6 will be: 114

5 0

3 years ago

Sam has fewer baseball cards than Jill (she has 36). There are only three ways that he can arrange all of his cards in equal row

pantera1 [17]

Answer:

27, 30, 33

Step-by-step explanation:

Since Sam has fewer number of baseball cards than Jill who has 36 baseball cards and can arrange all his cards in only three ways, the possible number of baseball cards that Sam could have is 27, 30 or 33.

If he has 27 baseball cards, he can arrange 9 baseball cards per row in 3 rows

If he has 30 baseball cards, he can arrange 10 baseball cards per row in 3 rows

If he has 33 baseball cards, he can arrange 11 baseball cards per row in 3 rows

7 0

3 years ago