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2 years ago

Solve for x 4^x/9^x=½

Mathematics

1 answer:

kirill115 [55]2 years ago

3 0

Answer:

x = 0.85476

Step-by-step explanation:

4ˣ/9ˣ=½

9ˣ / 4ˣ = 2

(9/4)ˣ = 2

2.25ˣ = 2 .... aⁿ = x logₐx = n

log₂.₂₅2 = x

x = 0.85476

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Write the equation of the line that is parallel to y=-0.75x and that passes through the point (8,0)

Mila [183]

Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6

Step-by-step explanation:

Given equation of line is:

$y=-0.75x$

The coefficient of x is the slope of the line so the slope of given line is: -0.75

As parallel lines have equal slopes so the required equation of line will have the same slope.

The slope-intercept form is:

$y = mx+b$

Putting the value of the slope

$y = -0.75x+b$

To find the value of b, putting the point in the equation

$0 = -0.75(8)+b\\0 = -6+b\\b = 6$

Putting the values of m and b, we get

$y = -0.75x-6$

Hence,

Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

4 0

3 years ago

The formula gives the height of an object in free fall at time t and acceleration g.

ale4655 [162]

t must equal √2h/g but I don't see that in the choices above

3 0

3 years ago

Please help me, only answer if you know for sure

Galina-37 [17]

Answer:

Step-by-step explanation:

Median: First write in ascending order. If number of data's is odd, median is the middle data.

If number of data's is even, then median = average of n/2th and (n+2)/2th term.

1) 1 , 3 , 5 , 5 , 6

Median = 5

2) 3,4,10,2,1

Ascending order: 1,2,3,4,10

Median = 3

3) 4, 5,7,11

Median = (5+7)/2 = 12/2 = 6

4) 1,1,2,6

Median = (1+2)/2 = 3/2 = 1.5

5) 2,2,3,3,,5,7

Median = 3+3/2 = 6/2 = 3

6)1,2,4,6,7,7

Median = (4+6)/2 = 10/2 = 5

7) 2,2,3,6,7,8

Median = (3+6)/2 = 9/2 = 4.5

8)1,2,3,14,17,18

Median = (3+14)/2 = 17/2 = 8.5

Mean= Sum of all the items÷ number of items

1)Mean = (1+2+3+2)÷4 = 8÷2 = 4

2)Mean=(4+3+2+4+2)÷5 = 15÷5 = 3

3)Mean = (5+4+6+1)÷4 = 16÷4 = 4

4)Mean = (2+5+1+4+7+5)÷6 = 24÷6 = 4

5)Mean =(10+11+9+12+8)÷5=50÷5 = 10

6)Mean = (1 + 2 + (-2)+1+(-2) )÷5 = -2÷5 = -0.4

7)Mean = (4+(-2)+3+(-3)+3)÷5 = 5÷5 = 1

8)Mean = (4+5.5+3+5.5)÷4=18÷4 = 4.5

6 0

2 years ago

Read 2 more answers

A coral reef grows 0.15 m every week. How much does it grow in 11 weeks?

Misha Larkins [42]

Coral reef = 0.15x
0.15(11) = 1.65
1 meter = 100 cm
1.65 * 100 = 165

Solution: 165 cm

3 0

2 years ago

Please help me with this and I will give one of the answers most brainliest

inna [77]

A)

$A=8\qquad\qquad B=12.5\\\\\\d(A,B)=|12.5-8|=|4.5|=\boxed{4.5\,\text{cm}}$

b)

$C=?\\\\\\d(C,A)=2\cdot d(C,B)\\\\|A-C|=2\cdot|B-C|\\\\|8-C|=2\cdot|12.5-C|\\\\
|8-C|=|25-2C|\\\\\\8-C=25-2C\qquad\vee\qquad8-C=-(25-2C)\\\\-C+2C=25-8\qquad\vee\qquad8-C=-25+2C\\\\C=17\qquad\vee\qquad8+25=2C+C\\\\C=17\qquad\vee\qquad33=3C\quad|:3\\\\\boxed{C=17\qquad\vee\qquad C=11}$

Mark 11 or 17.

4 0

2 years ago

Solve for x 4^x/9^x=½​

Solve for x 4^x/9^x=½