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vladimir2022 [97]
3 years ago
7

Y = 1.2 when x = 8 y varies inversely with x

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer: 9.6

Step-by-step explanation:

y=k/x

1.2=k/8

K=1.2*8

K=9.6

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If $190 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in
dangina [55]

Answer:

$295.01

Step-by-step explanation:

Using the compounding continuously formula, we are looking for A.  We have that P = 190; r = .11 (always use the decimal form of the rate!); and t = 4.  Filling in we have:

A=190e^{(.11)(4)}

Simplifying that multiplication:

A=190e^{.44}.

On your calculator, raise e to the .44 power to get

A = 190(1.552707219) and

A = $295.01

5 0
3 years ago
HELP ASAP!! Identify the matrix transformation of ΔPQR, which has coordinates P(−5, −2),Q(−6, −3), and R(−2, −3), for reflection
podryga [215]

Answer:

Matrix transformation = \left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]

Vertices of the new image: P'= (5,-2), Q'= (6,-3), R'= (2,-3)

Step-by-step explanation:

Transformation by reflection will produce a new congruent object in different coordinate. Reflection to y-axis made by multiplying the x coordinate with -1 and keep the y coordinate unchanged. The matrix transformation for reflection across y-axis should be: \left[\begin{array}{ccc}-1&0\\0&1\end{array}\right].

To find the coordinate of the vertices after transformation, you have to multiply the vertices with the matrix. The calculation of the each vertice will be:

P'= \left[\begin{array}{ccc}-1&0\\0&1\end{array}\right] \left[\begin{array}{ccc}-5\\-2\end{array}\right]= (5,-2)

Q'= \left[\begin{array}{ccc}-1&0\\0&1\end{array}\right] \left[\begin{array}{ccc}-6\\-3\end{array}\right]= (6,-3)

R'= \left[\begin{array}{ccc}-1&0\\0&1\end{array}\right] \left[\begin{array}{ccc}-2\\-3\end{array}\right]= (2,-3)

3 0
3 years ago
sum of two numbers is 39. the greater number is 7 more than the smaller number. ( set up an equation )
pochemuha
Let x be the unknown number

2x +7 = 39

2x+7-7 = 39-7

2x = 32

2x/2 = 32/2

x=16

You use the balance method to solve. First, you cancel the +7 by subtracting the 7 ON BOTH SIDES to balance the equation.. After that, you are left with 2x, where you will need to isolate the x by dividing by 2 ON BOTH SIDES to balance it.

Hope this helps
3 0
3 years ago
PLEASE ANSWER! WILL GIVE MANY POINTS
andriy [413]

Answer:

The person will feel dizzy.

5 0
3 years ago
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