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8090 [49]
1 year ago
12

Solve for x in the following equation.

Mathematics
1 answer:
Marta_Voda [28]1 year ago
4 0

An equation is formed of two equal expressions. The value of x in the given exponential equation is 10. The correct option is 10.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

In the given exponential equation 5^{x-2}=5^8, It can be observed that the base of both the sides of the equation is the same, therefore, 5. Therefore, the equation can be written as,

5^{x-2}=5^8

Since the base on both the sides are the same, comparing the exponential values on both sides,

x - 2 = 8

x = 8  + 2

x = 10

Hence, the value of x in the given exponential equation is 10.

Learn more about Equation here:

brainly.com/question/2263981

#SPJ1

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PLEASE HELP ME PRE CAL/TRIG
miss Akunina [59]

Answer:

A) 60 Degrees

B) 550 Feet

C) 2.5 minutes

Step-by-step explanation:

a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution

1 min = 60 secs

10 min = 600 secs

100/600 = 1/6

One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .

360/6 = 60°

b)  It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference \frac{7}{10} * (250 pi) = 550 Feet.

C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .

\frac{250pi}{10} =\frac{200}{t}.

After solving this equation as there is only one unknown which is "<em>t</em> "the answer will be 2.5 minutes.

3 0
3 years ago
what is the equation of the line described below written in slope-intercept form? the line passing through point (2,2) and perpe
djverab [1.8K]

Answer:

The equation of line passing through point (2 , 2) and perpendicular to line y = x is  y = - x + 4   .

Step-by-step explanation:

Given as :

The line equation is y = x

Now, equation of line in slope-intercept form y = m x + c

where m is the slope of line and c is y-intercept

Comparing given line equation with standard line equation

The slope of line y = x is m = 1

Again

Other line is passing through point (2 ,2) and is perpendicular to line y = x

Let The slope of other line = M

∵ From perpendicular lines property

Product of slope of lines = - 1

i.e m × M = - 1

Or , M = \dfrac{ - 1}{m}

Or, M = \dfrac{ - 1}{1}

∴  M = - 1

<u>Now, Equation of other line in point-slope form</u>

The other line is passing through point (2 , 2) and slope M = - 1

So, y - y_1 = M × (x - x_1)

Or, y - 2 = - 1 × ( x - 2 )

Or, y - 2 = - x + 2

Or, y = - x + 2 + 2

Or, y = - x + 4

Hence, The equation of line passing through point (2 , 2) and perpendicular to line y = x is  y = - x + 4   . Answer

5 0
3 years ago
A triangular prism container is full of water of 428 cubic cm. The water is 10 cm deep, what is the base area of the container?
Hatshy [7]
<h3>The base area of triangular prism container is 42.8 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The volume of triangular prism is given as:</u></em>

v = base\ area \times height

Given that,

A triangular prism container is full of water of 428 cubic cm

The water is 10 cm deep

Therefore,

v = 428 cubic cm

h = 10 cm

<em><u>Substituting the values we get,</u></em>

428 = base\ area \times 10\\\\base\ area = \frac{428}{10}\\\\base\ area = 42.8\ cm^2

Thus the base area of triangular prism container is 42.8 cubic centimeter

3 0
3 years ago
+(7p-8q+6pq)+(q-2p+pq)-(10pq-p-4q)​
lilavasa [31]

Answer:

Step-by-step explanation:

3 0
3 years ago
Plz answer only if u know ur correct
hichkok12 [17]

Answer:

1/2

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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