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Dimas [21]
2 years ago
8

Solve each of the following exponential equations using common bases:

Mathematics
1 answer:
pantera1 [17]2 years ago
6 0

Answer:

x=19/6, x=-9/13, x=33/4

Step-by-step explanation:

1) 2^(6x+10)=2^(12x-9), 6x+10=12x-9, x=19/6

2) 3^(4x+6)=3^(-9x-3), 4x+6=-9x-3, x=-9/13

3) 2^(x+6)*2^(3x-27)=2^(6), 4x-27=6, x=33/4

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Need help solving this differentiation problem please. Thank you.
DIA [1.3K]
First convert the terms to fractional exponents

u  =  t^2/3  - 3t^3/2

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     =  2/3 t ^(-1/3) - 9/2 t ^(1/2)

     =  2 / (3∛t) -  9 √ t / 2   in radical form


7 0
3 years ago
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The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a lin
Alika [10]

Answer:

0.47x + 7.72

Step-by-step explanation:

We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)

The general equation of the line in slope intercept form is

y = mx + c

where m is the slope and c is the y-intercept.

Calculating the slope:

slope=m=\frac{\textrm{Difference of y coordinates}}{\textrm{Difference of x coordinates}} \\\\ slope=m=\frac{27.75-17.5}{43-21}\\\\m=0.47

Using the value of m in above equation we get:

y = 0.47x + c

Calculating the y-intercept:

Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:

17.5 = 0.47(21) + c

c = 17.5 - 0.47(21)

c = 7.63

Therefore, the equation is:

y = 0.47x + 7.63

Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.

So from the given options, the correct answers is:

y = 0.47x + 7.72

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3 years ago
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The formula for the distance, d, an accelerating car can travel is d = 5.6t square. how many minutes, t, doe the car take to tra
Likurg_2 [28]
Your distance(d) is 1,814.4
1814.4 m = 5.6t square
then you square root 5.6t
\sqrt{1814.4} = \sqrt{ {5.6t}^{2} }
the square root eliminates the square
\sqrt{1814.4} = 5.6t
you square root 1,814.4 m
42.6 = 5.6t
(I rounded 42.6) then divide 42.6 by 5.6
7.6 = t
(I rounded 7.6)
6 0
2 years ago
Do you know this please
patriot [66]

Answer: 159%

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2 years ago
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Answer:The first one is 2.333333333

Step-by-step explanation:Simplifying

5(2 + -1j) + (2j + -3) = 0

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(10 + -5j) + (2j + -3) = 0

Reorder the terms:

10 + -5j + (-3 + 2j) = 0

Remove parenthesis around (-3 + 2j)

10 + -5j + -3 + 2j = 0

Reorder the terms:

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Combine like terms: 10 + -3 = 7

7 + -5j + 2j = 0

Combine like terms: -5j + 2j = -3j

7 + -3j = 0

Solving

7 + -3j = 0

Solving for variable 'j'.

Move all terms containing j to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + -3j = 0 + -7

Combine like terms: 7 + -7 = 0

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Combine like terms: 0 + -7 = -7

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Divide each side by '-3'.

j = 2.333333333

Simplifying

j = 2.333333333

3 0
2 years ago
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