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Daniel [21]
3 years ago
6

PLZ HELP

Mathematics
1 answer:
docker41 [41]3 years ago
3 0

Answer:

61

Step-by-step explanation:

a_{1}=5\\a_{n}=2a_{n-1}+3\\a_{2}=2*5+3=13\\a_{3}=2*13+3=29\\a_{4}=2*29+3=61

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What is the constant of proportionality in the following equation?<br><br> y=54.3x
Karolina [17]

Answer:

54.3

Step-by-step explanation:

3 0
3 years ago
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Heather measures the temperature of her coffee to be 133.4 degrees fahrenheit. It is actually 145 degrees fahrenheit. What is th
zhenek [66]

Answer:

The percent error of Heather's calculation is <u>8%</u>.

Step-by-step explanation:

Given:

Heather measures the temperature of her coffee to be 133.4 degrees fahrenheit. It is actually 145 degrees fahrenheit.

Now, to find the percent error of Heather's calculation.

The temperature of coffee Heather measures = 133.4° F.

Coffee's actual temperature = 145° F.

So, to get the measurement in error we subtract the temperature of coffee Heather measures from coffee's actual temperature:

145-133.4=11.6\°.

Now, to get the percent error:

\frac{11.6}{145}\times 100

=\frac{1160}{145}

=8\%.

Therefore, the percent error of Heather's calculation is 8%.

5 0
3 years ago
What is the vertex form of the parabola whose standard form equation is y=5x^2-30x+49
agasfer [191]

Answer:

The vertex is (3,4)

Step-by-step explanation:

To convert a quadratic from  

y = a x 2 + b x + c

form to vertex form,

y = a ( x − h ) 2 + k , you use the process of completing the square.

First, we must isolate the  x

terms:

y − 49 = 5 x 2 − 30 x + 49 − 49

y − 49 = 5 x 2 − 30 x

We need a leading coefficient of  1

for completing the square, so factor out the current leading coefficient of 2.

y − 49 = 5 ( x 2 − 6 x )

Next, we need to add the correct number to both sides of the equation to create a perfect square. However, because the number will be placed inside the parenthesis on the right side we must factor it by  

2

on the left side of the equation. This is the coefficient we factored out in the previous step.

y − 49 + ( 5 ⋅ ? ) = 5 ( x 2 − 6 x + ? )

<- Hint:  

62 = 3 ;  3 ⋅ 3 = 9

y − 49 + ( 5 ⋅ 9 ) = 5 ( x 2 − 6 x + 9 )  

y− 49 + 45 = 5 ( x 2 − 6 x + 9 )

y − 4 = 5 ( x 2 − 6 x + 9 )

Then, we need to create the square on the right hand side of the equation:

y − 4 = 5 ( x − 3 ) 2

Now, isolate the  y  term:

y − 4 + 4 = 5 ( x − 3 ) 2 + 4

y − 0 = 5 ( x − 3 ) 2 + 4

y − 0 = 5 ( x − 3 ) 2 + 4

The vertex is:  

( 3 , 4 )

7 0
3 years ago
What is the length of the diagonal of the square shown below?
Tatiana [17]

Answer:

sqrt(50)

Step-by-step explanation:

Since it is a right triangle, we can apply the Pythagorem Theorem.

a^2 + b^2 = c^2

25 + 25 = c^2

50 = c^2

c = sqrt(50)

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A line passes through the point (-4,9) and has a slope of 5/2
olga nikolaevna [1]
Y=5/2x+9 I believe would be the answer
6 0
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