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AVprozaik [17]
3 years ago
6

27=3 raised to power (2x_1)​

Mathematics
1 answer:
Ivahew [28]3 years ago
7 0

Answer:

x = 2

Step-by-step explanation:

27=3^{2x-1}\\\\3^{3}=3^{2x-1}\\

Bases are equal. So, compare powers

2x - 1 = 3

Add 1 to both sides,

2x = 3+1

2x = 4

Divide both sides by 2

x = 4/2

x = 2

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Dalton built a linear model to show the height of a meteor falling to the Earth. The meteor starts at 100 km above the Earth's s
alukav5142 [94]

Answer:

The domain represents the time of motion of the meteor as it falls from 100 km height above the Earth's surface at a speed of 20 km

Step-by-step explanation:

The given parameters from the question are;

The elevation of the meteor above the Earth's surface = 100 km

The rate at which the meteor falls = 20 km per second

The 'x' values represent the time in seconds and the 'y' values represent the meteor's height

Therefore, we have;

y = 100 - 20·x

The domain of a function is the set of inputs to the function

Therefore, the domain represent the time it takes the meteor to reach the given 100 km height above the Earth's surface

At the start x = 0 seconds

On the Earth's surface, y = 0, therefore;

0 = 100 - 20·x

x = 100/20 = 5

When the meteor just touches the Earth's surface x = 5 seconds

Therefore, the domain is 0 ≤ x ≤ 5.

8 0
3 years ago
Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hou
Oksana_A [137]

Given:

Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.

He is only allowed to work 13 hours total per week.

He wants to make at least 65 dollars.

To find:

The system of inequalities to represent this situation.

Solution:

Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.

He is only allowed to work 13 hours total per week.  It means sum of x and y must be less than or equal to 13.

x+y\leq 13

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

4x+7y\geq 65

Number of hours can not be negative.

x\geq 0, y\geq 0.

Therefore, the required system of inequalities contains some equations,  x+y\leq 13,4x+7y\geq 65 and x, y\geq 0.

4 0
3 years ago
Please help me with this question I’m so confused
zavuch27 [327]

s = ut +  \frac{1}{2} a {t}^{2}  \\ s = 10( \frac{1}{2} ) +  \frac{1}{2} ( - 2) {( \frac{1}{2}) }^{2}  \\ s = 10( \frac{1}{2} ) +  \frac{1}{2} ( - 2)(  \frac{1}{4} ) \\ s = 5 + ( - 1)( \frac{1}{4} ) \\ s = 5 + ( -  \frac{1}{4} ) \\ s = 5 -  \frac{1}{4}  \\ s =  \frac{20}{4}  -  \frac{1}{4}  \\ s =  \frac{19}{4}

Hope it helps

Please give brainliest

4 0
2 years ago
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Masteriza [31]

Answer:

I believe the first one is rotation And the second is ABC= DEF.

Step-by-step explanation:

My geometry is really rusty so I apologize if they’re wrong

8 0
3 years ago
An artist pours 60 gallons of paint equally into 8 containers how much paint is in each container?
uranmaximum [27]

Answer:

7.5

Step-by-step explanation:

cause you can divide the 60 with the 8

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3 years ago
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