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ddd [48]
2 years ago
13

ABC is translated 6 units up and 3 units left to crest A’B’C’. If vertex A is at (-1,2) and vertex B is at (1, 5) then vertex A’

is at (5, 1) or (-4, 8) and vertex B’ is at (-2, 11) or (-7, -1).
Mathematics
1 answer:
jekas [21]2 years ago
3 0

The translation is

... (x, y) ⇒ (x -3, y +6) . . . . . 3 units left, 6 units up

Then

... A(-1, 2) ⇒ A'(-1-3, 2+6) = A'(-4, 8)

... B(1, 5) ⇒ B'(1 -3, 5 +6) = B'(-2, 11)

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Arnold took out a loan of 195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have
kolbaska11 [484]

Answer:

25155000

Step-by-step explanation:

<h3>we know intrest (i):-PTR/100</h3>

by formula

  1. <u>195000×30×4.3%</u>

100

2. 5850000<u>×4.3</u>

<u>100</u>

100

3. 25155000

3 0
2 years ago
In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard dev
tresset_1 [31]

Answer:

The standard deviation of that data set is 3.8

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 55

95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.

Using one of these points.

55 + 2sd = 62.6

2sd = 7.6

sd = 7.6/2

sd = 3.8

The standard deviation of that data set is 3.8

6 0
2 years ago
A cash register contains q quarters. Write an algebraic expression that represents the total amount of money (in dollars).
kati45 [8]

Answer:

0.25q

Step-by-step explanation:

A cash register is a machine used in small business that sums, display and records the total amount made by each sale. A cash register also has a drawer which is used to store money.

A quarter is a coin in the United States which is 25 cents.

Converting 25 cents to dollars:

100 cents = $1

25 cents = 25 cents × $1 / 100 cent = $0.25

The total amount of money registered = number of quarters × $0.25

The total amount of money registered = q × $0.25 = 0.25q

5 0
2 years ago
James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collecti
hichkok12 [17]
8 to 12, or if simplified, 2 to 3
8 0
2 years ago
A cake has a mass of 2.5kg. It contains 275g of fruit. What percentage of fruit is there in the cake
Travka [436]
The answer is:  "11 %" . 
__________________________________
There is 11% of fruit in the cake.
______________________________
Explanation:
____________________________________

275g is what percent of 2.5 kg?  

First, convert "275 g" into "kg".

Note the exact conversion:  1000 g = 1 kg .  

So 275 g = (275/1000) kg  = 0.275 kg .


0.275 kg = (n/100) * 2.5 kg ; 

→ (n/100) * 2.5 = 0.275 ;
____________________________
Divide each side by "(2.5)" 
______________________
→ (n/100) = (0.275) / (2.5) ;

→ (n/100) = 0.11 ;

Multiply each side by "100" ; 

n = 11 . 
________________________________________
The answer is:  11 % .
________________________________________
8 0
2 years ago
Read 2 more answers
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