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harkovskaia [24]
2 years ago
6

Which logarithmic graph can be used to approximate the value of y in the equation 4^y = 8?

Mathematics
1 answer:
topjm [15]2 years ago
6 0
Hope this helped!

(Taken from a source but seemed right)

:)

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Can someone help me with question 3 i really dont understand this.
makvit [3.9K]

Answer:28 hours

Step-by-step explanation:

2x7x2

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3 years ago
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I need to find the mean, median,mode, and range of 8,6,7,6,5,4 1/2, 7 1/2, 6 1/2, 8 1/2, 10,7,5, 5 1/2, 8,9, 7,5,6, 8 1/2, and 6
sattari [20]

Answer:

add them all up and divide by 19

Step-by-step explanation:

7 0
3 years ago
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a tot
Alex_Xolod [135]

Answer:

12 boys

Step-by-step explanation:

I believe the answer is 12 boys. I hope this helps!

8 0
2 years ago
3. (6 Points). Solve the initial value problem y'-y.cosx=0, y(pi/2)=2e
Stells [14]

Answer:

y=2e^{sin(x)}

Step-by-step explanation:

Given equation can be  re written as

\frac{\mathrm{d} y}{\mathrm{d} x}-ycos(x)=0\\\frac{\mathrm{d} y}{\mathrm{d} x}=ycos(x)\\\\=> \frac{dy}{y}=cox(x)dx\\\\Integrating  \\ \int \frac{dy}{y}=\int cos(x)dx \\\\ln(y)=sin(x)+c............(i)

Now it is given that y(π/2) = 2e

Applying value in (i) we get

ln(2e) = sin(π/2) + c

=> ln(2) + ln(e) = 1+c

=> ln(2) + 1 = 1 + c

=> c = ln(2)

Thus equation (i) becomes

ln(y) = sin(x) + ln(2)

ln(y) - ln(2) = sin(x)

ln(y/2) = sin(x)

y= 2e^{sinx}

7 0
2 years ago
You invested $19,000 in two accounts paying 4% and 8% annual interest, respectively.
saveliy_v [14]

Answer:

$9000 at 4$

and

$10000 at 8%

Step-by-step explanation:

Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.

Recall the formula for interest as : I= P * R *t

where I is the interest, R is the annual rate of interest and t is the number of years.

Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x   and   I2 = y (0.08) (1) = 0.08 y

Total Interest = Interest (from the 4% account) + Interest (from the 8% account)

Total Interest = $1160 = 0.04 x +  0.08 y

we also know that the total invested (x + y) adds to $19,000, that is:

$19,000 = x + y

Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;

y = 19000 - x

1160 = 0.04 x + 0.08 (19000 - x)

1160 = 0.04 x + 1520 - 0.08 x

0.08 x - 0.04 x = 1520 - 1160

0.04 x = 360

x = 360/0.04 = $9000

Then the other investment was : y = $19000 - $9000 = $10000

6 0
2 years ago
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