Mathematics High School

If 16^x = 1/64 find the value of x.

Answers

Answer 1

Answer:

x = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]16^{x}[/tex] = [tex]\frac{1}{64}[/tex] , that is

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

[tex]4^{2x}[/tex] = [tex]4^{-3}[/tex]

since bases on both sides are equal , both 4 then equate exponents

2x = - 3 ( divide both sides by 2 )

x = - [tex]\frac{3}{2}[/tex]

Related Questions

Jayden drove 280 miles in 7 hours. On average, how fast did he drive, in miles per hour?

Answers

Answer:

Step-by-step explanation:

i honestly have no idea

Please help me with this! I’m so lost :((

Answers

Answer:

# 1 reb #2 is cfs

hope i could help...........

Determine which equation represents a function.
A. y = -2x + 1
B. x=4
C. x=y²-1
D. y²-x

Answers

The equation that represents a function is (A) y = -2x + 1.

A Function is defined as an equation for which any "x" we substitute in the equation will give only one output such as "y"

it is denoted by y=f(x).

In the given question

Option (A)

y=-2x+1

Yes the given equation is a function ,

because when we substitute a value in x ( let x=2) it gives only a single output (y=-3).

Hence , y=-2x+1 is a function .

Option (B)

x=4

No, it is not a function as ,

x=4 is a vertical line parallel to y axis ,

we know that for a function every value of x will have exactly one y .

For x=4 , y can 0 , -9 , 6 .

Hence , x=4 is not a function.

Option (C)

x=y²-1

No. it is not a function ,

we know that for a function every value of x will have exactly one y .

For x=0 , y=+1,-1 .

Hence , x=y²-1 is not a function .

Option (D)

y²-x

No , it is not a function

As y²-x do not have an equal to sign "=" , it cannot be considered as an equation.

Hence , y²-x is not a function .

Therefore , Only y = -2x + 1 represents a function , the correct option is (A) y = -2x + 1

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Please help!!! Urgent for homework

Answers

Answer: 7 and 8

Step-by-step explanation:

Square root and squared cancel out

Answer:

a=7

b=32

Step-by-step explanation:

The first one (a) is 7 because if you square a square root, you get the number inside the root. Also, technically a square root has an exponent of (1/2) so when you have a power-to-a-power (power rule of exponents) you multiply the exponents. So ([tex]7^{1/2}[/tex])^2 is 7.

For (b) you have to take it in two parts. Square the square root and you get 2. Square the 4 in front, you get 16. Multiply those two numbers (16 and 2) together and you get 32.

Edit: Check on your calculator, you get the same answers I got! :)

What is the slope of the line represented by the equation y = 4/5x-3

Answers

Answer:

m = 4/5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define Equation

y = 4/5x - 3

Step 2: Break Function

Identify Parts

Slope m = 4/5

y-intercept b = -3

the slope of the line is y=4/5 .

Quadrilaterals ABCD and EFGH are shown in the coordinate plane. Quadrilaterat ABCD will be reflected across the x-axis and then rotated 90 clockwise about the origin to create quadrilateral A^ prime B^ prime C^ prime D^ prime . What will be the y -coordinate of B?

Answers

Answer:

Step-by-step explanation:

180 degree rotation about point C prime composition reflected across line m

Transformation involves changing the position of a quadrilateral by reflecting and/or rotating it.

The y-coordinate of B" is 3

The coordinates of vertex B of quadrilateral ABCD is:

[tex]\mathbf{B = (-3,7)}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{B' = (-3,-7)}[/tex]

The rule of 90 degrees clockwise rotation across the origin is:

[tex]\mathbf{(x,y) \to (y,-x)}[/tex]

So, we have:

[tex]\mathbf{B" = (-7,3)}[/tex]

Hence, the y-coordinate of B" is 3

Answers

Answer: 3/2 acre per day

Explanation:

8 1/4 = 33/4

5 1/2 = 11/2

Find the unit rate in acre per day:

(33/4) divide by (11/2)

33/4 x 2/11 = 3/2

Tina's car needs to be repaired. As auto repair shop charges Tina $42.30 for replacement parts and $22.50 per hour of labor.
If Tina gets charged a total of $109.80, how many hours of labor were spent on the repair?
O 5 hours
O 4 hours
O 3 hours
O 2 hours

Answers

Just add

42.30 + 22.50 = 64.80
64.80 + 22.50 = 97.30
97.30 + 22.50 = 109.80

We added 22.50 3 time so our answer would be 3 hours

Mathematical standard answer:

Therefore the total hours of labor spent on the repair was 3 hours.

- If this helped I would appreciate it a lot if you could mark this as brainlest

Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be about 56 lb. Approximately what would Vince weigh on the other planet?
40 lb
64 lb
76 lb
90 lb

Answers

Answer: 64 lbs

Step-by-step explanation:

I divided 56/140 and got 0.4. Then multiplied 0.4 by 160 and got 64. SOunds about right to me.

You can double check by multipling 0.4 by 140 and you get 56.

Answer:

64lb

Step-by-step explanation:

i mean i got it right on my quiz on egde 2020

Tickets to the museum cost 7.50 each. Students receive a 15% discount on admission. What is the cost of a student ticket?

Answers

Answer:

138

Step-by-step explanation:

Pleaseeee helppppppppp

Answers

Answer:

Step-by-step explanation:

Please help due in less than 3 hours!!!!!!!! When Anne biked down the canyon, she averaged 30 miles per hour. At this rate, how long did it take her to bike 1 mile?

Answers

Answer:

2 min.

Step-by-step explanation:

1h is 60 min so divide 60 by 30 and you get 2

Answer:

It took Anne 1/30 of an hour to bike 1 mile.

Step-by-step explanation:

Unit Rate - 30 miles/ 1 hour

[tex]\frac{30 miles}{1 hour} = \frac{1 mile}{? hour}[/tex]

Based on the visual above, we need to find the proportion.

30 miles divided 30 equals to 1 mile.

What is 1 hour divided by 30? Remember: whatever is done to the numerator must be done to the denominator!

1 divided by 30 equals 1/30. Since the unit is hour, the answer is 1/30 of an hour.

HELP ASAP
HELP ASAP
HELP ASAP

What is the value of X?

Answers

Answer:

61 degrees

Step-by-step explanation:

180 - 58 = 122

Since both sides are congruent, 122/2 = 61

Answer:

Step-by-step explanation:

Since ED and EF are congruent, Angle D = Angle F meaning angle F is also x degrees.

From here, we can use the total sum of angles in a triangle = 180 to calculate x:

180 = 58 + x + x

180 = 58 +2x

122 = 2x

x= 61 degrees

What is the equation of the line that has a slope of 3 and goes through the point (3, 4).

Answers

The answer is y=3x-5

You have to find b for this problem because the slope is given. To do that you have to substitute the point into the given equation which is y=3x

4=3(3)+b

Then multiply 3x3

4=9+b

Then subtract 9 on both sides to get b

-5=b

Then put the piece together to get y=3x-5 :)

Use the point-slope formula and then solve for y.

y - y_1 = m(x - x_1)

y_1 = 4

x_1 = 3

m = 3

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 9 + 4

y = 3x - 5

Done.

What is 93.6 divided by 30

Answers

Answer:

The correct answer is 3.12.

Step-by-step explanation:

93.6 ÷ 30 = 3.12

Therefore, the answer is 3.12.

Hope this helps! :D

What is the distance between points A and B?

Answers

Answer:

Step-by-step explanation:

I am 99.9% certain that this answer is A. It asks the Difference between point A and B. Difference = subtraction. So, C and D is automatically out of the Picture. I calculated A and A makes the most sense.

solve each system of equation by elimination
{y=-x+1
{y= 4x-14

Answers

Answer:

(3, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -x + 1

y = 4x - 14

Step 2: Rewrite Systems

y = 4x - 14

Multiply everything by -1: -y = -4x + 14

Step 3: Redefine Systems

y = -x + 1

-y = -4x + 14

Step 4: Solve for x

Elimination

Combine equations: 0 = -5x + 15Isolate x term: -15 = -5xIsolate x: 3 = xRewrite: x = 3

Step 5: Check

Define equation: y = -x + 1Substitute in x: y = -3 + 1Add: y = -2

Atticus is examining the equations: 4x + 2y = 10 and y = -2x + 5. He states that the equations are equivalent. Is he correct why or why not?

Answers

Answer:

He is correct

Step-by-step explanation:

Put the first equation into y = mx + b by isolating y:

4x + 2y = 10

2y = -4x + 10

Divide each side by 2:

y = -2x + 5

So, putting the first equation into y = mx + b got us the same equation as the second one, y = -2x + 5.

Since they are the same, the equations are equivalent.

Atticus is correct.

Calculate the sum of the INTERIOR angles of a 16-gon.

Answers

The answer is 2520 degrees

Given trapezoid ABCD whose bases are segment AB and segment CD, what is mZB?

Answers

Answer:

x = 19

<B = 125°

Step-by-step explanation:

The sum f angle <D and angle <A is equal to 180° because these angles are supplementary

75° + 5x + 10 = 180° add like terms

85 + 5x = 180 subtract 85 from both sides

5x = 95 divide both sides by 5

x = 19

Same rule goes for angle <C and angle <B

<B + 55° = 180 subtract 55 from both sides

<B = 125°

!!!HELP PLZ!!!
write the slope-intercept form of the equation of the line through the given slope:
through: (-4, 3) Slope=1

Answers

Answer:Y=X+7

Step-by-step explanation:

find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.

Answers

The central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle

For given question,

we need to find the radian measure of the central angle of a circle of radius r.

The central angle intercepts an arc of length s.

Let θ be the central angle in radians.

We know that the arc length of circle of radius r is,

s = r × θ

where s is the arc length

r is the radius of the circle

θ is the central angle measured in radians

From above equation,

we have, θ = s ÷ r

Therefore, the central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle

Learn more about the arc length here:

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Write an equation of the line that passes through (−6, 0) and (0, −24)

Answers

Answer:

y=4x+24

Step-by-step explanation:

1: find slope

[tex]\frac{0+24}{-6-0}[/tex]

[tex]\frac{24}{-6}[/tex]

2:plug into point-slope form

y-0=4(x+6)

y=4x+24

Answer:

y = -4x - 24

Step-by-step explanation:

slope = -4

sum of ab, a+b and b+ab is

Answers

Step-by-step explanation:

ab+a+b+b+ab

=2ab+a+2b

=a+2b+2ab

We can only add the same term numbers together.

hope it helps!

Plz help due tomorrow

Answers

Answer: $21000

Step-by-step explanation:

By uwing option A, the salesperson will make (40 × $21) = $840.

Let the amount of sales that is needed for the week to be thesame as option A be x. Therefore,

4% of x = $840

4% × x = $840

0.04x = $840

x = $840/0.04

x= $21000

The salesperson need to sell $21,000 worth of sales

For there are 48 apples and 60 bananas and 96 oranges each basket must contain the same number of each type of frut Search instead for there are 48 apppes and 60 banas and 96 onanges each basket must contain the same number of each type of frut

Answers

This question is incomplete

Complete Question

For there are 48 apples and 60 bananas and 96 oranges each basket must contain the same number of each type of fruit. Find the greatest number of baskets you can have

Answer:

The greatest number of baskets you can have is 12 baskets.

And each baskets would contain:

4 apples, 5 bananas and 8 oranges

Step-by-step explanation:

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 12.

Therefore, the greatest number of baskets you can have is 12 baskets.

Each baskets would have

For apples

48 apples

48 apples / 12 baskets = 4 apples per basket

For bananas

60 bananas

60 bananas/12 baskets = 5 bananas per basket

For Oranges

96 Oranges/ 12 baskets = 8 oranges per baskets

simply (5^1/3)

A. 5^3
B. 1/5
C. 5
D. 5^9

Answers

Answer:

Step-by-step explanation:

slope intercept form
through: (2, 4) and (1, -3)

Answers

Answer: I attached a graph below, hope it helps.

Step-by-step explanation:

A line can be written in the form y = mx + b where m is the slope and b is the y intercept.

Since the slope is given as 4, the equation will be y = 4x + b

Plugging in the point (2,1) to the equation we get 1 = 4(2) + b or 1 = b + 8

Solving for b gives b = -7 so the equation will be y = 4x - 7

ASAP!!! ILL MARK BRAINIEST!!!The expression on the left side of an equation is shown below. 3 x + 9 = box If the equation has no solution, which expression can be written in the box on the other side of the equation? –9 –3 3 x 3 x + 9

Answers

Answer:

C. 3x

Step-by-step explanation:

The first two choices give 1 solution each.

The last choice gives an infinite number of solutions.

Choice C. gives no solution.

3x + 9 = 3x

Subtract 3x from both sides.

9 = 0

Since 9 = 0 is false, equation 3x + 9 = 3x has no solution.

Step-by-step explanation:

Answer:

C AKA 3x

Step-by-step explanation:

took the test

Anyone know the answer

Answers

Answer:

Infinite solution

Step-by-step explanation:

if you use distribute property on 3(x-5), it will equal to 3x-15.

First do distributive property
3x - 15 = 3x - 15, true
You are correct. It’s infinite solutions

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If 16^x = 1/64 find the value of x.​

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If 16^x = 1/64 find the value of x.