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3 years ago

Solve the exponential equation use a calculator to obtain a decimal approximation correct to two decimal place for the solution.

Mathematics

1 answer:

svetlana [45]3 years ago

3 0

6^(8x) = 4
log 6^(8x) = log 4
8x log 6 = log 4
x = log 4 / 8log 6 = 0.10 to two decimal places.

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Would do anything for the answer to this question

olga_2 [115]

Given:

The length of the entire rectangle is 10x + 7.

The width of the entire rectangle is 6x.

The length of the unshaded rectangle is 4x - 5.

The width of the unshaded rectangle is 2x.

We need to determine the area of the shaded region of the rectangle.

Area of the entire rectangle:

The area of the entire rectangle can be determined using the formula,

$A=length \times width$

Substituting the values, we have;

$A_1=(10x+7)(6x)$

$A_1=60x^2+42x$

Thus, the area of the entire rectangle is 60x² + 42x

Area of the unshaded rectangle:

The area of the unshaded rectangle can be determined using the formula,

$A=length \times width$

Substituting the values, we have;

$A_2=(4x-5)(2x)$

$A_2=8x^2-10x$

Thus, the area of the unshaded rectangle is 8x² - 10x

Area of the shaded region of the rectangle:

The area of the shaded region of the rectangle can be determined by subtracting the area of the entire rectangle by the area of the unshaded rectangle.

Thus, we have;

$A=A_1-A_2$

Thus, we have;

$A=60x^2+42x-(8x^2-10x)$

$A=60x^2+42x-8x^2+10x$

$A=52x^2+52x$

$A=52x(x+1)$

Thus, the area of the shaded region of the rectangle is 52x(x + 1)

3 0

4 years ago

Read 2 more answers

Suppose a person eats 2000 food calories on average per day. Note that 1 calorie= 4.184 joules and a food calorie = 1000 calorie

Crazy boy [7]

Answer: $0.097\text{\ J/s}$

Step-by-step explanation:

Given : 1 calorie= 4.184 joules

A food calorie = 1000 calories = 4184 joules.

Then, 2000 food = $2\times4184=8368$ joules [By Unitary method]

We know that : $\text{Power}=\dfrac{\text{Energy}}{\text{Time}}$

Since 1 day = 24 hours

and 1 hour = 3600 seconds

Then, 24 hours = $24\cdot3600=86400$ seconds.

Now, $\text{Power}=\dfrac{8368}{86400}$

$=0.0968518518519\approx0.097\text{\ J/s}$

Hence, the average power of this intake = $0.097\text{\ J/s}$

6 0

3 years ago

To covert 5 meters to feet, you need to...

Natali5045456 [20]

Hello!

So 1 meter is 3 feet. So if we have 5 meters, we then multiply 5×3 and your answer will be 15 feet.

I hope it helps!

3 0

3 years ago

Read 2 more answers

He roots of x2 − ( ) + 34 are 5 ± 3i.

GrogVix [38]

Use the quadratic formula, x= $\frac{-b+ \sqrt{ b^{2}-4ac} }{2a}$
(don't know how to type the "-"sign in the formula, so there is only the "+" in the formula)
in this case, a=1, c=34, b is unknown
from the roots, we can tell that -b+ $\sqrt{b^{2}-4ac }$ =2(5+3i)=10+6i

Note: the original equation already give b as -b, so -(-b)=10, b=10
using b^2-4ac=(6I)^2,
b^2-4*34=-36
b^2=100
you will also get b=10

5 0

3 years ago

Km+5x=6y. Solve for m

insens350 [35]

Answer:

m=6y/k-5x/k

Step-by-step explanation:

4 0

3 years ago