MATHEMATICS HIGH SCHOOL

K³-4j+12 when k=8, j=2​

Answers

Answer 1
Answer: k³-4j+12 = (8)³ - 4(2) + 12
= 512 - 8 + 12
= 516


Therefore, the value of the expression k³-4j+12 when k=8 and j=2 is 516.

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A certain book is for sale in both Belize and Brazil. In Belize, it sells for 80.39 Belize dollars. In Brazil, it sells for 63.65 Brazilian reals. The exchange rate of US dollars to Belize dollars is 1:1.9246, and the exchange rate of US dollars to Brazilian reals is 1:1.7880. When converted into US dollars, which country sells the book at a more expensive price, and how much more expensive is it? Round all currency values to two decimal places.

Answers

A book is sold in Belize for 80.39 Belize dollars.
In Brazil, it sells for 63.65 Brazilian reals.

The exchange rate of US Dollars to Belize Dollars is 1:1.9246
The exchange rate of US Dollars to Brazilian Real is 1:1.7880

If we convert the two into dollars,
Belize Dollars 
1 : 1.9246 = X : 80.39 
1.9246X = 80.39
X = $ 41.77 

Brazilian Real
1 : 1.7880 = X : 63.65  
1.7880X = 63.65 
X = $ 35.60

Difference = $ 41.77 - $ 35.60
Difference = $ 6.17

So, in Belize the book is more expensive by $ 6.17

Answer:

6.17

Step-by-step explanation:

Belize Dollars

1 : 1.9246 = X : 80.39

1.9246X = 80.39

X = $ 41.77

Brazilian Real

1 : 1.7880 = X : 63.65  

1.7880X = 63.65

X = $ 35.60

Difference = $ 41.77 - $ 35.60

Difference = $ 6.17

What is the value of the function when x = −2? y =

A graph of a function. The function graph goes through point negative 2, negative 3 and point negative 3, 0.

Answers

(x,y)
if the point (-2,-3) is on there
x=-2
y=-3

y=-3

GEOMETRY. PLS HELP ASAP....
How can you verify Euler’s formula for this net of a cube?

Answers

The above figure can be formed into a cube.

This is for any polyhedron that does not intersect itself. The Euler's formula states that the number of faces plus the number of vertices or corner points less the number of edges is always equal to 2.

Faces + Vertices - Edges = 2

A cube has 6 faces, 8 vertices, and 12 edges.

Euler's formula: 6 + 8 - 12 = 2 ⇒ 14 - 12 = 2 ⇒ 2 = 2

Evaluate the expression when x = 5: 10 I7-xI
(A)-120
(B)20
(C)-20
(D)123

Answers

10|7-x| \hbox{ when } x=5 \n10|7-5|=10|2|=10 * 2=\boxed{20} \Leftarrow \hbox{answer B}
10|7 - x|
10|7 - 5|
10|2|
10(2)
20

B.20

Just the red triangle use the Phytogram theorem please :(​

Answers

The missing side is 10.770033

Explanation: The formula for the triangle is A^2 + B^2 = C^2. So plugging that into this equation is 10^2 + 4^ = C^2, making it 116 = C^2, square root both sides and it equals 10.770033.

Identify whether these series are divergent or convergent geometric series and find the sum, if possible.

Answers

A geometric series:
\sum^(\infty)_(i=1)=a_1 * r^(i-1)
It's convergent if |r|<1.
It's divergent if |r|≥1.
The sum can be found if it's a convergent series; it's equal to (a_1)/(1-r).

3.
\sum^(\infty)_(i=1) 12 ((3)/(5))^(i-1) \n \na_1=12 \nr=(3)/(5) \n \n|r|<1 \hbox{ so it's convergent} \n \n\sum^(\infty)_(i=1) 12 ((3)/(5))^(i-1)=(12)/(1-(3)/(5))=(12)/((5)/(5)-(3)/(5))=(12)/((2)/(5))=12 * (5)/(2)=6 * 5=30

The answer is: This is a convergent geometric series. The sum is 30.

4.
\sum^(\infty)_(i=1) 15(4)^(i-1) \n \n a_1=15 \n r=4 \n \n |r| \geq 1 \hbox{ so it's divergent}

The answer is: This is a divergent geometric series. The sum cannot be found.
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