Write the following equation in the general form Ax + By + c = 0. 1/2 y- 1/3 x-1=0

Answer: log₂[tex](\frac{h(n)}{6})[/tex] + 1 = n

Step-by-step explanation:

h(n) = 6 * 2ⁿ⁻¹

÷6     ÷6          

[tex]\frac{h(n)}{6}[/tex] = 2ⁿ⁻¹

log₂[tex](\frac{h(n)}{6})[/tex] =  log₂(2ⁿ⁻¹)  →→log₂2 cancels out

log₂[tex](\frac{h(n)}{6})[/tex] = n - 1

log₂[tex](\frac{h(n)}{6})+1[/tex] = n

Divide both sides by 2

3x + 1 = 11/2

Subtract 1 from both sides

3x = 11/2 - 1

Simplify 11/2 - 1 to 9/2

3x = 9/2

Divide both sides by 3

x = 9/2/3

Simplify 9/2/3 to 9/2 × 3

x = 9/2 × 3

Simplify 2 × 3 to 6

x = 9/6

Simplify 9/6 to 3/2

x = 3/2

One rational number between 4 and 6 would be 5.

Answer:

Equation: 3(1.25) + 3(2.00)=M

answer:9.75

Step-by-step explanation:

Answer:

Option c is correct.

Equation with slope of 7 is; [tex]y =7x[/tex]

Step-by-step explanation:

The Equation of line is in the form of :

[tex]y =mx[/tex]                 .....[1]

where

m represents the slope of the line.

x represents the variable.

Given : The slope of a line is 7

m = 7

substitute the value of m =7 in [1];

[tex]y = 7x[/tex]

Therefore, the equation of line which graphs to a line with a slope of 7 is, y =7x

Answer:

f(-3) = 6

Step-by-step explanation:

f(-3) is looking at the graph and determining the value of y at x=-3

We go over 3 to the left to x=-3 and go up 6 units to y= 6

f(-3) = 6

Answer:

could you give what the problem is

Step-by-step explanation:

Answer:

Alright well simplify the expression

33.66 Why???

Well write the problem as a mathematical expression

34% 99

Convert 30% to decimal

0.34 and 99

Multiply 0.34 by 99 which gives you

33.66 Hope this helps have a nice day :)

Step-by-step explanation:

Answer:

A. 179 sq. ft.

Step-by-step explanation:

Area of walkway + fountain: (3.14)11^2=379.94 ft^2

Area of fountain: (3.14)8^2=200.96 ft^2

Area of walkway : 379.94-200.96=178.98 ft^2 which is also rounded to 179ft^2

Answer:

If you use 3.14 as an approximation for PI, the answer will be A) 179 sq. feet.

Step-by-step explanation:

The process to determine the area of the sidewalk is computed by figuring the area of the outer circle (Diameter = 16' + 3' + 3') and subtracting the area of the fountain (Diameter = 16') from that.

Area of Circle = PI times Radius squared

Outer circle radius = (22 ft /2) = 11 ft

Area of outer circle (includes fountain area too) = 3.14 x 11 x 11 = 379.94 ~ 380

Inner circle radius = (16 ft / 2) = 8 ft

Area of Fountain = 3.14 x 8 x 8 = 200.96 ~ 201

Area of sidewalk =  380 - 201 =  179

well, 1/7th of the cupcakes is 3. so 2/7ths makes 6. and 21 minus 6 is 15. So, your answer is 15.

Answer:

1/7th of the cupcakes is 3. so 2/7ths makes 6. and 21 minus 6 is 15. So, your answer is 15.

Hope this helps

Answer:

It's 5 gallons! :3

Step-by-step explanation:

Answer:

6 monkeys

Step-by-step explanation:

8 monkeys eat 8 bananas in 8 mins---how many monkeys eat 6 bananas in 6 mins?

that means each monkey takes 1 min for one bananer so i think 6 monkeys

24 Doughnut will be eaten by 8 students in 9 minutes. 8 monkeys will eat 6 bananas in 6 mins.

Given,

Two students can eat 4 doughnuts in 6 minutes.

On taking time constant (say 6 min), 2 student eat 4 doughnuts,

So 1 student eat 2 doughnuts each in 6 minutes.

So, in 1 minute doughnut eaten by 1 student will be  [tex]\frac{2}{6}[/tex].

So, in 9 minute doughnut eaten by 1 student will be [tex](\frac{2}{6} \times 9=3)[/tex]

Finally, in 9 minute doughnut eaten by 8 student  will be [tex](3\times 8=24)[/tex].

Hence 24 Doughnut will be eaten by 8 students in 9 minutes.

Similarly,

Since 8 monkeys eat 8 bananas in 8 mins.

On taking time constant, 8 monkeys eat 8 bananas.

So, 1 monkey eat 1 banana in 8 min.

So, in 1 min 1 monkey will eat [tex](\frac{1}{8} )[/tex] banana.

So, 1 banana will be eaten by 8 monkeys in 1 min.

So, 6 banana will be eaten by [tex](8\times 6=48)[/tex] monkeys in 1 min.

Finally, the number of monkeys required to  eat 6 bananas in 6 min will be,

[tex]\dfrac{48}{6} =8[/tex].

Therefore 8 monkeys will eat 6 bananas in 6 mins.

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Answer:

x=29

Step-by-step explanation:

3x-13=74

We want to solve for x, so we need to isolate it.

The first step is to add 13 to each side.

3x-13+13=74+13

3x = 87

Then we divide by 3 on each side

3x/3 = 87/3

x= 29

This is distributive property and to do distributive property, you distribute what is outside of the parenthesis to the numbers inside the parenthesis.

How-to-do:

2(8x-7)

2(8x) - 2(7)

16x-14

if you mean to simplify :

2(8x−7)

=(2)(8x+−7)

=(2)(8x)+(2)(−7)

=16x−14

Answer:

72

Step-by-step explanation:

c=9

d=8

cd = c*d

substitute in what they give you the variables equal to

cd=9*8=72

Answer:

72

Step-by-step explanation:

Answer:

[tex]cos\theta=1/3[/tex]

Step-by-step explanation:

The point at the terminal side of an acute angle is given by [tex](1, 2\sqrt{2} )[/tex].

That is,

[tex]x = 1[/tex] and [tex]y= 2\sqrt{2}[/tex] .

Let r be the length of line segment drawn from the origin to the point and is given by the formula:

[tex]r = \sqrt{x^{2} + y^{2}}[/tex]

Substituting the values of x and y into r,

[tex]r = \sqrt{1^{2} + (2\sqrt{2} )^{2}}[/tex]

[tex]r = \sqrt{1 + 8}[/tex]

[tex]r = \sqrt{9}[/tex]

Thus, [tex]r=3[/tex]

Also, [tex]cos\theta[/tex] is given by:

[tex]cos\theta = x/r\\[/tex]

Substituting values of x and r,

[tex]cos\theta = 1/3\\[/tex]

Answer:

The first attached graph showing the plotted point (0, 3) represents Ramon's initial step.

Step-by-step explanation:

We are given that Ramon is graphing the function f(x) = 3(4)x and that he begins by plotting the initial value.

So if we will input 1 for the value of x and then evaluate the plot point.

Therefore, we will get the point (0, 3) as the answer for this initial step.

Also, the first attached graph here showing the plotted point (0, 3) represents Ramon's initial step.

Answer:

The graph that represent the initial step in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=3(4^{x})[/tex]

we know that

The initial value is the value of the function when the value of x is equal to zero

so

For [tex]x=0[/tex]

substitute in the function

[tex]f(x)=3(4^{0})=3(1)=3[/tex]

therefore

The initial value is the point [tex](0,3)[/tex]  

The graph that represent the initial value in the attached figure

Answer:

The builder should order 129.54 meters of steal.

Step-by-step explanation:

I just went on google and typed in "ft. to meters converter".

The builder should order approximately 129.548 meters of steel.

To convert from feet to meters, we need to know the conversion factor. 1 foot is approximately equal to 0.3048 meters. So, we can use this conversion factor to convert the perimeter from feet to meters.

Perimeter in meters = Perimeter in feet * Conversion factor

Perimeter in meters = 425 ft * 0.3048 m/ft

Perimeter in meters = 129.548 m

The builder should order approximately 129.548 meters of steel.

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Answer:

-0.08 F

Step-by-step explanation:

Answer:

The outlier slightly affected the median.

Step-by-step explanation:

Answer:

simple terms its A

Step-by-step explanation:

Answer: C. |-4 - 3|

Step-by-step explanation:

x = -4

y = 3

The distance between them is the difference. The mathematical operation for difference is subtraction.

Distance is a unit of measurement. Measurements cannot be negative so the absolute value sign is used to ensure the difference is positive.

The correct expression representing the distance between two points, X and Y, on a number line is D. [-4+3], which uses the absolute value to ensure a positive distance.

The distance between two points X and Y on a number line can be calculated as the absolute value of the difference between their coordinates. In this case, the coordinates of X and Y are not provided, but we know we are looking for an expression that shows a positive distance regardless of whether X is to the left or to the right of Y on the number line. Therefore, we need the absolute value to ensure we get a non-negative result, which correctly represents the concept of distance.

Distance on a number line is given by the formula “|X - Y|”, which yields the magnitude of the difference between two points without considering direction, making it a positive number. Hence, the expression that represents the distance between two points, X and Y, on the number line in the provided options is D. [-4+3].

Using the provided expressions, [-4+3] means taking the absolute value of the result of “-4+3”, which indeed gives us the distance of 1 between the two points, since |-4+3| = |-1| = 1.

It took Stephen 2.5 hours to run the entire 5-mile race.

To find out how long it took Stephen to run the entire race, we need to know how many 1/4 mile segments are present in a 5 mile race. We can do this by dividing the total distance by the distance ran in each segment. Since 1/4 mile is ran in 1/8 hour, we can divide 5 miles by 1/4 mile to find the total number of segments, which is 20. Multiplying 20 by 1/8 hour, we get the total time it took Stephen to run the race, which is 2.5 hours.

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Answer:

x=3

Step-by-step explanation:

By vertical line test, x=3 fails because more than 2 points have the same x value. Functions must pass the vertical line test.

Answer:54x6432y=7644335

Step-by-step explanation:

tab;e times table

Answer:

9x - 8

Step-by-step explanation:

the perimeter is the sum of the sides, hence

perimeter = 5x - 2 + 3x + 4 + x - 10 ( collect like terms )

                = 9x - 8 ← polynomial of degree 1

Answer:

distributive

Step-by-step explanation:

the number out side the parenthesis, 3 in this case, is being distributed to the numbers inside the parenthesis

Answer:

I would say distributive property

Number 17 is B

Step-by-step explanation:

because your are multiplying 3 times 4 to get 12 and you are multiplying 3 times 3 to get 9

You add -3 to the first number to get the same exact number as the one to the right of -5

Answer:

x= 7

Step-by-step explanation:

2x^2=98

\frac{2x^2}{2}=\frac{98}{2}

x^2=49

7^2=49

Final answer:

The solutions to the equation 2x^2 = 98 are x = 7 and x = -7, obtained by isolating the x^2 term and taking the square root of both sides.

Explanation:

To solve the equation 2x^2 = 98, we need to convert it into a standard quadratic equation by bringing the terms to one side of the equals sign, setting it equal to zero:

2x^2 - 98 = 0

Now, we will proceed to solve the quadratic equation. In this simple case, we can find the solutions by factoring or by taking square roots. First, we move the constant to the other side:

2x^2 = 98

Divide both sides by 2 to isolate the x^2 term:

x^2 = 49

To find x, we take the square root of both sides. Do not forget to consider both the positive and negative roots:

x = ±√49

x = ± 7

So the solutions to the equation 2x^2 = 98 are x = 7 and x = -7.

Answer:

-0.625

Step-by-step explanation:

Given that a fraction negative in value with numerator -5 and denominator 8.

We have to convert this into decimals.  For that we add as many zeroes after decimal point after 5 and divide with 8.  The quotient what we get is value of the fraction.

To find in decimals, let us divide 5 by adding zeroes to the right

8)5.00000{0.625

  4.8

-------

     20

     16

--------

      40

      40

  ------

      0

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

Hence in decimal form the fraction -5/8 = -0.625

Answer:

$4.11/hour

3.33 pages/minute

Step-by-step explanation:

37 / 9

= 4.11

10 / 3

= 3.33

y=the amount of money in the checking account

x=number of months

y=200-20x