Josh was issued a traffic ticket for speeding. The court cost
was $40 and he had to pay $10 for every mile per hour
over the speed limit. Determine how fast Josh was driving
if the speed limit was 65 mph and his fine was $110.

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The value of x from the given expression is 5

Given the logarithm expression

According to the law of logarithm, if [tex]log_ab=c, \ hence \ b= a^c[/tex]

Applying this law to the given question, we can see that:

[tex](x-2)^{-6}=3^{-24}\\(x-2)^6=3^{24}\\(x-2)^6=3^6\\[/tex]

Cancel out the exponents to have:

x - 2  = 3

x = 2 + 3

x = 5

Hence the value of x is 5

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Answer:

511 / 1000

Step-by-step explanation:

0.511 = 511 / 1000

Answer:

Step-by-step explanation:

Steps to convert 0.511 into a fraction:  

Write 0.511 as 0.511/1

For each digit following the decimal point, multiply both the numerator and denominator by ten:

0.511/1

As an aside, the entire number-integral section is: blank.

The decimal component is as follows: 0.511 = 511/1000

The following is the complete breakdown of simple fractions: 511/1000

Answer:

10^2=100

because all u would do is put down 10 two times and then u just multiply those 2 numbers

Step-by-step explanation:

The value of the missing length is 20

Let the missing length be x

From Parallel lines and transversal theorem, we have that

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

Then, we can write that

[tex]\frac{x}{15} =\frac{16}{12}[/tex]

∴ [tex]x = \frac{15\times 16}{12}[/tex]

x = 20

Hence, the value of the missing length is 20

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Answer:

the answer is A .

Step-by-step explanation:

-2x+y=3 ----> 2x - y = -3

6x=9-3y

6x + 3y = 9

divide by 3 ,

2x + y = 3

Since the slopes are different, they will intersect.

So ONE solution.

Answer:

4

Step-by-step explanation:

Substitute 3 for x and solve.

|3 - 5| + 2

=|-2| + 2

= 2 + 2 = 4

Recall that

d/dx sech(x) = - sech(x) tanh(x)

d/dx tan⁻¹(x) = 1/(1 + x²)

Then by the chain rule,

dy/dx = - sech(x) tanh(x) / (1 + x²)

Answer:

From the list the multiple of 3 is 24

Step-by-step explanation:

Given line:

Compare this with the slope-intercept form:

The slope is:

Y-intercept is:

As a point on the line it has coordinates (0, - 11)

Answer:

Hope this helps!

Step-by-step explanation:

The slope is:

m = 2/5

Y-intercept is:

b = - 11

The coordinates on the line are: (0, - 11)

Answer:

9 is the answer.

Step-by-step explanation:

5(x − 4)2 = 4x + 14

=> 10x - 40 = 4x + 14

=> 6x = 54

=> x = 9

Therefore, 9 is the answer.

Hoped this helped.

The value of the x after solving the equation 5 (x - 4) 2 = 4x + 14 is x = 9.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given linear equation,

5 (x - 4) 2 = 4x + 14

5 × 2 (x - 4) = 4x + 14

10 (x - 4) = 4x + 14

By distributive property, p (q + r) = p q + p r

10x - (10 × 4) = 4x + 14

10x - 40 = 4x + 14

10x - 4x = 14 + 40

6x = 54

x = 54 / 6

x = 9

Hence the value of x is 9.

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Answer:

0.14479638

Step-by-step explanation:

Because 2 cards out of 52 are drawn without replacement, hypergeometric probability distribution should be used. Hence,

Combination of drawing 1 ace of 4 total aces C(4,1)

Combination of drawing 1 non-ace of 48 total non aces C(48,1)

Combination of drawing 2 cards of total 52 cards C(52.2)

C(4,1) = 4, C(48,1) = 48, C(52,2) = 1326

4*48/1326 = 0.14479638

Answer: Give me the table and ill answer..

Step-by-step explanation:

Answer:

6.2 meters

Step-by-step explanation:

1) area = l*w

74.4 = 12x

x=6.2

Answer:

165,625 bags of cocoa.

Step-by-step explanation:

One trailer = 625 bags of cocoa, and if you have 265 trailers it means you will have to multiply 625 by 265.

Answer:

Divide both sides by 18. The new coefficients will be the reciprocals of the intercepts:

[tex]6x-3y=18 \rightarrow \frac6{18}x - \frac3{18}y = 1 \rightarrow \frac x3-\frac y6 =1[/tex] The two intercepts are then 3 and -6.

(I know, dividing by 3 both sides of the equations would have made the whole process way easier).

Alternatively, plug x = 0 to find the y intercept and y=0 to find the x intercept. Either way the graph will look something like the one I'm sketching on paint.

The domain of the graph is  [tex]-8<x\leq 9.5[/tex] while the range of the graph is [tex]-4\leq x<4[/tex].

For the graph, the domain will be the values of the graph along the x-axis.

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Answer:

805.98

Step-by-step explanation:

671.65x.20=134.33

134.33+671.65=805.98

[tex](-4x^3-x^2+3)-(x^3-2x^2-7x+2)\\\\=-4x^3 -x^2 +3 - x^3 + 2x^2 + 7x -2 \\\\= -5x^3 +x^2 +7x +1 \\\\=-5x^3 -5x^2 +6x^2 +6x+ x+1\\\\=-5x^2(x+1) +6x(x+1) + (x+1)\\\\=(x+1)(-5x^2 +6x +1)\\\\=-(x+1)(5x^2 -6x -1)[/tex]

Answe

i think it's 9

Step-by-step explanation:

316 fỉst number is 3 +2 =5

459 first number is 4+2=6

2+2=4

7+2=9:)))

Answer:

Irrational

Step-by-step explanation:

The number is irrational because when you convert it to decimal form, you get 276.4601... a repeating decimal that goes on and on.

Answer:

Step-by-step explanation:

π is irrational and 88 is rational number.

The product of the two is irrational.

Answer:

D) f(3) = 54

Step-by-step explanation:

f(3) = 2 x 3^3

f(3) = 2 x 27

f(3) = 54

Hope this helps! Pls give brainliest!

Answer:

D

Step-by-step explanation:

first you need to do the exponent and you substitute the 3 in for ex

so 3^3=27

then you multiply it by 2 to get 54

Answer: They are inverses of each other

============================================================

Explanation:

We need to check two things:

If both of those equations are true, then f and g are inverses of each other.

----------------

Part 1

[tex]f(x) = -3x-12\\\\f(g(x)) = -3( g(x) )-12\\\\f(g(x)) = -3\left( \frac{-12-x}{3} \right)-12\\\\f(g(x)) = 12+x-12\\\\f(g(x)) = x\\\\[/tex]

So far, so good. Now we need to check the other equation mentioned.

------------------

Part 2

[tex]g(x) = \frac{-12-x}{3}\\\\g(f(x)) = \frac{-12-( f(x) )}{3}\\\\g(f(x)) = \frac{-12-( -3x-12 )}{3}\\\\g(f(x)) = \frac{-12+3x+12}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\[/tex]

That works out as well. Both equations mentioned are true, which confirms the two original functions are inverses of one another.

Answer:

-2.4f or -8 1/3

Step-by-step explanation:

I am not sure what should be at the end of the equal sign but if it is to simplify it would be -2.4f-20

If you want to solve then you get -2.4f=20 so f=-20/2.4 which equal to -8 1/3