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Masteriza [31]
3 years ago
12

Graph the image of the given triangle under a dilation with a scale factor of 12 and center of dilation ​ (0, 0)

Mathematics
1 answer:
AysviL [449]3 years ago
4 0

Answer:Graph the image of the given triangle under a dilation with a scale factor of 12 and center of dilation ​ (0, 0)

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Write the expression as a single logarithm. <br> pls help me with this problem
DanielleElmas [232]

Answer:

in logarithm + works as a * for numbers with the same bases.

Step-by-step explanation:

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Could someone please help me on this
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The dependent variable would be b (affected by the change of n) and the independent variable would be n (affects b). The equation would be
b = 12n.
3 0
3 years ago
Water is pumped out of a holding tank at a rate of 6-6e^-0.13t liters/minute, where t is in minutes since the pump is started. I
astraxan [27]
Procedure:

1) Integrate the function, from t =0 to t = 60 minutues to obtain the number of liters pumped out in the entire interval, and

2) Substract the result from the initial content of the tank (1000 liters).

Hands on:

Integral of (6 - 6e^-0.13t) dt  ]from t =0 to t = 60 min =

= 6t + 6 e^-0.13t / 0.13 = 6t + 46.1538 e^-0.13t ] from t =0 to t = 60 min =

6*60 + 46.1538 e^(-0.13*60) - 0 - 46.1538 = 360 + 0.01891 - 46.1538 = 313.865 liters

2) 1000 liters - 313.865 liters = 613.135 liters

Answer: 613.135 liters



 

3 0
3 years ago
Winona’s bowling scores for the past nine weeks are 195, 180, 195, 212, 208, 231, 179, 246, and 195. Find the mean, median, and
belka [17]

Answer: Mean = 204.6  , Median = 195 and mode =195

Step-by-step explanation:

The given data for Winona’s bowling scores for the past nine weeks : 195, 180, 195, 212, 208, 231, 179, 246,  195.

The formula to find Mean is given by :-

\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}\\\\=\dfrac{1841}{9}=204.555555556\approx204.6

For median , first we arrange data values in order as

179, 180, 195, 195, 195, 208, 212, 231, 246

Since the number of data values is 9 (odd).

∴ Median = Middle most data value = 195

Also, Mode = Most occurring data value = 195

3 0
4 years ago
What is the solution to the system of linear equations below?<br> - 2x + 5y<br> 30
avanturin [10]
Answer: Infinite solutions

Step 1: Turn this into y=Mx+b form

The current equation is—

-2x+5y=30

Since we want to get y alone on the left side, let’s add 2x on both sides

-2x+5y=30
+2x +2x
____________
5y=2x+30

Step 2: Again, trying to get y alone, we need to divide 5 on both sides

5y=2x+30
/5 /5 /5
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y=2/5x+6

Step 3: Now that we know how to find y, substitute that in where y is in the equation

-2x + 5(2/5x+6) = 30
-2x + 2x + 30 = 30
30=30

Seeing that you cannot get a specific answer for y when solving, there is an infinite number of solutions


Hope this is right and it helps comment below for more questions :)
5 0
3 years ago
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