I’m on a timer I need help with this ASAP!!!!!!!!!!

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[tex]4 \times {9}^{2x} = 42[/tex]

Divide sides by 4

[tex] \frac{4 \times {9}^{2x} }{4} = \frac{42}{4} \\ [/tex]

[tex] {9}^{2x} = \frac{2 \times 21}{2 \times 2} \\ [/tex]

[tex] {9}^{2x} = \frac{21}{2} \\ [/tex]

[tex]( { {9}^{2} })^{x} = \frac{21}{2} \\ [/tex]

[tex]x = log_{ {9}^{2} }( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2} log_{9}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2} log_{ {3}^{2} }( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2 \times 2} log_{3}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{4} log_{3}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(21) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(3 \times 7) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(3) + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: 1 + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]

And we're done...

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Answer:

-7+10=3

Step-by-step explanation:

You can go anywhere with this but this is just my answer.

Answer:

26

Step-by-step explanation:

26 is the greatest number because 5.2 is a single digit and has lower value than 26.

26 > 5.2

Hope this helps!

Answer:

A. X = 3 and x = 6

Step-by-step explanation:

Since graph is intersecting x-axis at 3 and 6, therefore 3 and 6 are zeros of this function.

The zeros of the function are x = 3 and x = 6

The zeros of the function are the x values where the graph crosses the x-axis

From the figure, the graph crosses the x-axis at:

x = 3 and x = 6

Hence, the zeros of the function are x = 3 and x = 6

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Answer:

130

Step-by-step explanation:

an triangle= 180 degrees so 180-35-90=50 so p is 50 then 180 -50=130

Answer:

Its 130 mate i did this question before at my old school

Step-by-step explanation:

Answer:

The correct answer is -6x⁶

Step-by-step explanation:

Given that:

[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]

From the second step above, using the law of indices the correct format should be

[tex]= (3\times -2)x^{2+4}[/tex]

So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.

Then the result of that yields

= -6x⁶

In the third step, they also omit the negative sign, when multiplying (3 * -2).

Thus, the correct answer is -6x⁶

Answer: See explanation

Step-by-step explanation:

a) A large pizza with one topping costs $15.50. A large pizza with 4 toppings costs $20.

A large pizza with one topping costs $15.50.

Using the formula for direct variation,

y = kx

where,

y = Cost of pizza

x = number of toppings

k = constant of proportionality

15.50 = 1k

k = 15.50

A large pizza with 4 toppings costs $20.

Using y = kx

20 = 4k

k = 20/4

k = 5

Here, the price does not vary directly with the number of toppings because the constant of proportionality is different.

b) A marathoner ran 5 miles in 40 minutes and 15 miles in 120 minutes.

Using y = kx

where,

y = 40

x = 5

y = kx

40 = 5k

k = 40/5

k = 8

Using y = kx

where,

y = 120

x = 15

y = kx

120 = 15k

k = 120/15

k = 8

The number of minutes vary directly with the number of miles. This is because the constant of proportionality is thesame in both cases.

Therefore, the second one(B) represents a direct variation and the first one (A) doesn't.

Answer: Neither

Step-by-step explanation: if you look at both slopes 10x and 4x they are neither the reciprocal or even remotely close to each other

The two equations 10x+8y=16 and 5y=4x-15 are perpendicular to each other.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

The two given equations are 10x+8y=16 and 5y=4x-15 then reduce both the equations in the intercept form of the standard line of the equation.

The standard form of the equation of the line is,

y = mx + c

For the equation: 10x+8y=16

10x + 8y = 16

5x + 4y = 8

4y = -5x + 8

y = (-5/4)x + 2

For the equation: 5y=4x-15

5y = 4x -15

y = ( 4/5 )x - 3

The slope of line 1 is ( -5/4 ) and the slope for line 2 is ( 4/5 ). Here, the slope of the lines is opposite and reciprocal of each other. The lines will be perpendicular to each other.

Therefore, two equations 10x+8y=16 and 5y=4x-15 are perpendicular to each other.

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Answer:

the correct answer is 582

Answer:

582

Step-by-step explanation:

B²= base×base

The base is 24

24 ×24 = 576

When you add 6 to 576 you get 582.

I hope this is correct. Sorry if it is wrong.

Answer:

Both landscapers charge the same hourly rate, but not the same fee per job.

Step-by-step explanation:

Answer:

Both landscapers charge the same hourly rate, but not the same fee per job.

Step-by-step explanation:

I took the test and got it correct

Answer:

see step by step explanation

Step-by-step explanation:

part a: x=1/72  because there are 72 x's in the one so 1/72

part b: x=1/70 because there are 70 x in 1 so x = 1/70

Answer:

(7^2)^0

Step-by-step explanation:

The Zero rule property states that anytime you multiple an exponent by 0 it always equals 1. So, if you multiply the equation by 0 it will equal one.

Answer:

$34.40

Step-by-step explanation:

this equation has 3 steps

1. to find out how much the dvds cost without any discount or tax: $40

2. the price of the dvds with the 20% discount, which can be found with cross-multiplication making the price after discount $32

3. the final price of the dvds with sales tax can be found also with cross-multiplication and the final answer would be 34.4

Answer:

$34.7

Step-by-step explanation:

40 x 0.0675 to find the tax.

40 x 0.8 to find how much to pay

40 x 0.0675 = 2.7

40 x 0.8 = 32

32 + 2.7 = 34.7

Answer:

No, they are not equivalent.

Answer:

Perpendicular

Step-by-step explanation:

the lines are Perpendicular or it can also be parallel

The lines in Graph 1 is neither, graph 2 is parallel, graph 3 is parallel and graph 4 is perpendicular.

Parallel lines are those straight lines in a plane which will not intersect each other even if we extend the line to infinity.

Perpendicular lines are those lines where the two lines meet a point where the angle between the two lines is 90 degrees.

Graph 1 :

Lines are not parallel because if we extend one line it will meet the other line.

Lines are not perpendicular since the point of intersection will never make the angle between the lines as 90 degrees.

So it is neither parallel nor perpendicular.

Graph 2 :

The two lines will never intersect if we extend the line infinity.

So they are parallel.

Graph 3 :

Again the lines are parallel since they won't intersect at any point.

Graph 4 :

Since both the lines make a 90 degree angle at the point of intersection, they are perpendicular.

Hence the lines are parallel in graph 2 and 3, lines are perpendicular in graph 4 and lines are neither in graph 1.

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Answer:

let me solve then once i'm done ill put the answer the chat below! :)

Step-by-step explanation:

Answer:

y = (1/2)x + 2

Step-by-step explanation:

Find the slope:

Take the rise over run to find this- For every unit it goes up, it goes two units across, so it will be (1/2)

Find the y-intercept:

This is the value of y where the line intersects the y-axis- (0,2), so 2

Substitute these values in for m and b:

y = mx + b

y = (1/2)x + 2

Hope that helps! :)

[tex]2(n-2)<3n-6[/tex]

↝ Multiply 2 inside (n-2) as we get 2n-4

[tex]2n-4<3n-6[/tex]

↝ Inequality is almost the same as equation so you just do the same like equation.

[tex]2n-4-3n+6<0\\-n+2<0\\-n<-2[/tex]

↝ Since it's Inequality. When the variable is negative, you have to make it positive.

[tex]n<\frac{-2}{-1}\\n<2[/tex]

↝ BUT! n < 2 isn't the right answer.

↝ Because for Inequality. Taking out the negative/Move the negative variable to another side ( from -n to n and -2 to -2/-1 = 2).

↝ You have to swap the inequality symbol after taking the off the negative variable.

↝ For example, if it is -n < 2 then the answer will be n > -2

or -n < -3 then the answer will be n > 3

But if it is n>2-3 as we get n>-1, not n < -1 because the variable isn't negative at all.

Basically, we swap the inequality symbol when it's negative variable.

↝ Therefore, it's not n < 2 but it is n > 2

So the right choice is n > 2 also known as the ( D ) answer.

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

If you

Answer:

each would take about 8 hours. all youd need to do is divide 100 kilo by 12 because thats how much he runs in one hour. so 100 kilometers per week would take 8.3, which is rounded to ~about~ 8

The true statement is Each treadmill session takes about 2 hours.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

He runs at a constant speed of 12 kilometers per hour for 5 days per week.

If he runs 100 kilometers per week

So, each day he runs

= 100 /5

= 20 Km

and, he runs 20 Km in

= 20 /12

= 1.666

= 2 hours approximately.

Hence, Each treadmill session takes about 2 hours.

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Answer:

45 feet

Step-by-step explanation:

Area of a rectangle = length × width

Area of the rectangle = 1,125 square feet

Length of the rectangle = x feet

Width of the rectangle = 25 feet.

What is the length of the parcel of land?

Area of a rectangle = length × width

1,125 = x * 25

1,125 = 25x

Divide both sides by 25

x = 1,125 / 25

= 45

x = 45 feet

The length of the parcel of land is 45 feet

Answer:

Step-by-step explanation:

7/15 = .4666 = 46.66%

Answer:

33.15 that is the answer

Answer: 30

Step-by-step explanation: anything below 5 rounds down to 30, 40,50,60,ect. anything 5 and up rounds to the next number 40,50,60,70,ect.  

Answer:

None Of The Above

Step-by-step explanation:

Its 7/17

Step-by-step explanation:

x miles per hour so you need to add then 5+6.5 is 11.5

Answer:

kn

Step-by-step explanation:

k,n

Answer:

False

Step-by-step explanation:

12+9<20

21≮20

False

Answer:

a. y

b. n

c. n

d. y

e. y

y-yes

n-no

Step-by-step explanation:

Answer:

5 : 18 : 12

Step-by-step explanation:

Express the ratio B : C  in fractional form, that is

[tex]\frac{B}{C}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )

6C = 4B ( divide both sides by 6 )

C = [tex]\frac{4}{6}[/tex] B = [tex]\frac{2}{3}[/tex] B , then

C = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12

Hence

A : B : C = 5 : 18 : 12

Answer:

5:18:12

Step-by-step explanation:

5:18

_:6:4 --> since you multiply 6 by 3 to get 18, multiply 4 by three to get the A:B:C ratio.

5:18:12

Answer:

81πinc^3

Step-by-step explanation:

Volume of glass = π(3)^2(12) = 108πin^3

Volume of water in glass = π(3)^2(3) = 27πin^3

Volume needed to fill completely = 108π - 27π = 81π^3

Topic: Mensuration

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