Graph this function.
f(x) = x - 2

If we solve the expression 4 log m-log n,then it will look like log([tex]m^{4}/n[/tex]) as single logarithm.

Given that the expression is 4 log m-log n.

We are told to write the expression as a single logarithm.

logarithm is basically the exponent or power to which a base must be raised to yield a given number. It is opposite to exponential function.

The expression is 4 log m-log n.

We know that log [tex]a^{b}[/tex]=b log a and log (m/v)=log m-log n.So,

4 log m-log n=log [tex]m^{4}[/tex]- log n

=log ([tex]m^{4}/n[/tex])

Hence if we solve the expression 4 log m-log n,then it will look like

log([tex]m^{4}/n[/tex]) as a single logarithm.

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Answer:

y = - 5x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

10x + 2y = - 2 ( subtract 10x from both sides )

2y = - 10x - 2 ( divide through by 2 )

y = - 5x - 1 ← in slope- intercept form

• Parallel lines have equal slopes , then

y = - 5x + c ← is the partial equation

to find c substitute (1, - 2 ) into the partial equation

- 2 = - 5 + c ⇒ c = - 2 + 5 = 3

y = - 5x + 3 ← equation of parallel line

Answer: y = - 5x + 3

Step-by-step explanation: i took the test

Answer:

I believe the answer is yes.

Step-by-step explanation:

Good Luck!!

Answer:

d=12.5

hope this helps :)

Answer:

that the greatest common factor of 24 and 32

Answer:

24 and 32

Step-by-step explanation:

The - sign outside the parentheses is 1-9t-4.3s

It follows from the task content that the expression which is equivalent to; −-4.3s-(9t+1) by distributing the "-" sign outside the parentheses is required.

Hence, it follows that each term in the parentheses is multiplied by the negative sign outside the parentheses as follows;

-4.3s-(9t+1)

=-4.3s--9t-1

=1-9t-4.3s

Ultimately, the expression which is equivalent to that given in the task content by distributing the "-" sign outside the parentheses is; 1-9t-4.3s.

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The machine will display the digit 71 if she pressed a 77 number.

According to the statement

We have to find that the digit shown by the machine.

So, For this purpose, we know that the

Digits are the single numbers used to represent values in math

From the given information:

At the fair, Kate found a strange machine with a sign on it labeled, "Enter a number. When she pushed the number 15, the machine displayed 9. When she entered 23, the machine displayed 17. Perplexed, she tried 100, and the machine displayed 94.

From this

we find that the machine displayed a number after subtracting 6 from the pressing digit in the machine.

For example, When she pushed the number 15, the machine displayed 9.

Displaying digit = 15-9

6 = 6.

If she pressed a 77 number then machine will display

77 -6 = 71.

So, The machine will display the digit 71 if she pressed a 77 number.

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When the result of subtracting 13 from the sum of two consecutive numbers is 18. The numbers are 15 and 16. The correct option is d.

From the information, the result of subtracting 13 from the sum of two consecutive numbers is 18.

Let the numbers be x and x+1.

Therefore, (x + x + 1) - 13 = 18

2x + 1 - 13 = 18

2x - 12 = 18

2x = 18 + 12

2x = 30

Divide

x = 30/2

x = 15

Therefore, when the result of subtracting 13 from the sum of two consecutive numbers is 18. The numbers are 15 and 16. The correct option is d.

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Answer:

5

Step-by-step explanation:

because 8+8+8+8+8=40 or 8*5

and theres 8 five times

Using sine formula, the seat on a Ferris wheel is 50√3 feet closer to the ground after rotating 60°.

One of the 6 trigonometric functions is the sine function. Sine function can be described as the ratio of the length of the opposite side of the triangle to its hypotenuse.

sin x = (opposite side) / (hypotenuse)

where "opposite side" is the length of the side opposite to angle x

If the wheel rotates 60°, causing the height of the seat to decrease, using sin formula, solve for the vertical distance between the positions before and after the rotation.

sin x° = (opposite side) / (hypotenuse)

where x = 60

opposite side = vertical distance between the positions before and after the rotation

hypotenuse = radius = 200 feet/2 = 100 feet

sin 60° = opposite side / 100 feet

opposite side = 50√3 feet

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The slope of the line is equal to 1 and a point lying on the line with the given equation is (7, 3).

The equation of the line is given as y + 3 = x + 7. First, we write the equation of the line in proper form. It can be written in slope-intercept form as y = mx + c where m is known as the slope of the line and c is the intercept made by the line.

Now, according to the equation given in question.

y = x + 7 - 3

y = x + 4

If we compare this equation with the slope-intercept form of line, we get the slope equal to one.

y = mx + c

y = x + 4

=> m = 1 and c = 4.

A point which satisfies the equation y = x + 4 can be (7, 3) as

7 = 3 + 4

=> 7 = 7 (L.H.S. = R.H.S.)

Thus, slope of the line is equal to 1 and a point lying on the line with the given equation is (7, 3).

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Answer:

cant answer without a function graphed

Step-by-step explanation:so yeah

The equation of the line is  y= 3 - 2x.

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given:

Coordinates (0, 3) and (2, -1)

So,

slope = -4/2=-2

and equation of line is

(y- y1) = m (x- x1)

y-3 = (-2)(x-0)

y-3 = -2x

y= 3 - 2x

Hence, the equation of line is y= 3 - 2x.

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The length of TO is 6.66  and of BO is 3.32

In the problem we are given that BT=10 TO=2x amd BO=4x-10

We have to find the value of x in order to find the values of length of  BO and TO.

BT=BO+TO

4x-10+2x=10

6x=20

x=3.33

The length of TO is 6.66

and of BO is 3.32

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The required answer for the given expression is 0.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube  roots, plus and minus.

Now the given expression is,

|8-40/4^3| 4^2 - 8

Solving the mod first,

Since 4^3 = 64 ; 4^2 = 16,

and 8 - 40 = -32

Therefore,

|8-40/4^3| 4^2 - 8 = |-32/64|16 - 8

Now solving

⇒ 32/64 = 1/2

Therefore we get,

|8-40/4^3| 4^2 - 8 = |-31/2| 16 - 8

Now since, |-a| = a

therefore, |-1/2| = 1/2

Therefore we get,

|8-40/4^3| 4^2 - 8 = (1/2) 16 - 8

Now, since (1/2) 16 = 8

Therefore we get

|8-40/4^3| 4^2 - 8 = 8 - 8

solving we get,

|8-40/4^3| 4^2 - 8 = 0

this is the required answer for the given expression.

Thus, the required answer for the given expression is 0.

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The cyclist will pedal at given speed for minimum 1.25 and maximum 2.25 hours.

The relation between speed, distance and time is as follows -

Speed = distance ÷ time. The maximum and minimum number of hours will depend on the distance. The maximum number of hours will be spent when maximum distance is covered, and minimum number of hours will be spent when minimum distance is covered.

Maximum distance = 35 + 10

Maximum distance = 45 miles

Minimum distance = 35 - 10

Minimum distance = 25 miles

Maximum number of hours = 45 ÷ 20

Maximum number of hours = 2.25 hours

Minimum number of hours = 25 ÷ 20

Minimum number of hours = 1.25 hours

Thus, cyclist will pedal at given speed for minimum 1.25 and maximum 2.25 hours.

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Answer: 2

Step-by-step explanation:

4x-2y=6

Divide both parts of the equation by 2:

2x-y=3

2x-y+y=3+y

2x=3+y

2x-3=3+y-3

2x-3=y

y=2x-3

The graph is a dashed line, shaded area below the boundary line since y is less than (3/4)x + 1).

Given the inequality in the question;

-3x + 4y < 4

First, rearrange the inequality in slope-intercept form ( y = mx + b )by solving for y.

-3x + 4y < 4

4y < 3x + 4

Divide each term by 4

4y/4 < 3x/4 + 4/4

y < (3/4)x + 1

Now, compare to the slope-intercept form ( y = mx + b )

y < (3/4)x + 1

Slope m = 3/4

b = 1 which gives the y-intercept: ( 0,1 ).

Now, graph a dashed line, then shade the area below the boundary line since y is less than (3/4)x + 1 ( y < (3/4)x + 1 ).

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Answer:

[tex]\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

Sine is positive in the second quadrant, so:

[tex]\sin \frac{240^{\circ}}{2}=\sqrt{\frac{1-\cos 240^{\circ}}{2}} \\ \\ =\sqrt{\frac{1.5}{2}} \\ \\ =\sqrt{3/4} \\ \\ =\frac{\sqrt{3}}{2}[/tex]

Answer:

10

Step-by-step explanation:

substitute the given values into the expression

ab + c

= 2(3) + 4

= 6 + 4 = 10

Hey there!

ab + c

= 2(3) + 4

= 6 + 4

= 10

Therefore, your answer should be:

10

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

A) 3.5

Step-by-step explanation:

                4.3t + 6.8 = 8.4t - 7.55

         Subtract 8.4t from both sides,

              4.3t - 8.4t +6.8 = -7.55

        Combine like terms,

                      -4.1t  + 6.8 = -7.55

                  To isolate 't' first subtract 6.8 from both sides.

                   -4.1t  = -7.55 - 6.8

                   -4.1t  = -14.35

                Divide both sides by (-4.1)

                      t = -14.35 ÷ (-4.1)

                      t =  3.5

Answer:

3√2

Step-by-step explanation:

Square root of 18 is equal to 3√2 in radical form and 4.24264068712 in decimal form.

Answer:

∠2 = 35 degrees because it is the vertical angle of ∠3

∠6 = 35 degrees because it corresponds with ∠2

∠4 = 145 degrees because when added to ∠2 145 + 35 = 180

A straight line equals 180 degrees. ∠4 and ∠2 are on the same line which means they have to add up to 180 degrees.

Step-by-step explanation:

The bone is approximately 16384 years old, as solved by basic algebra and logarithm.

The values of y and t can be: t = 16384, y = 16380(a). (as calculated by basic algebra and logarithm).

Let 'a' be the original amount of the object.

Then, according to question, for y = amount of carbon in the object, y = 0.14(a) (as the bone contains 14% of its original carbon-14).

We are also given that: y = a [tex]e^{-0.00012t}[/tex]

On substituting the value of y, we get: 0.14a = a [tex]e^{-0.00012t}[/tex]

By basic algebra, we can solve it as:

=> 0.14 = [tex]e^{-0.00012t}[/tex]

=> ln (0.14) = ln ([tex]e^{-0.00012t}[/tex]) (taking natural logarithm on both sides)

=> ln (0.14) = - 0.00012t (as [tex]log_b(a)^m=m(log_b(a))[/tex]; further:  [tex]log_e(e) = 1[/tex])

=> [tex]\frac{ln(0.14)}{-0.00012}[/tex] = t

=> t = 16384 years (approx.)

The values of y and t can be as follows: t = 16384, y = a (0.9998(16384)) = 16380(a).

Hence, the bone is approximately 16384 years old, as solved by basic algebra and logarithm; The values of y and t can be: t = 16384, y = 16380(a). (as calculated by basic algebra and logarithm).

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We get the product -9 9/20 after multiplying the given two mixed numbers  -1 3/4 and 5 2/5.

Mixed numbers: A mixed number is a whole number, and a proper fraction represented together.

Multiplication: In simple algebra, multiplication is the process of calculating the result when a number is taken times. The result of a multiplication is called the product.

Given are two mixed numbers  -1 3/4 and 5 2/5.

Explanation:

= -1 3/4 * 5 2/5

converting both the mixed numbers into improper fractions, we get

= -7/4 * 27/5

multiplying numerator by numerator and denominator by denominator, we get

= -189/20

= -9 9/20

Therefore, we get the product -9 9/20 after multiplying the given two mixed numbers  -1 3/4 and 5 2/5.

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The width of the box whose height is given as 7 inches and length is three inches more than the width given a volume of 910 is; 10 inches.

It follows from the task content that the height of the box is; 7 inches.

Let, x = width of the box and;

x+ 3 = length of the box.

Therefore, since the volume of a box is given by the formula;

V = l × b × h

Therefore, we have;

910 = 7 (x) (x+3)

Divide both sides by; 7

130 = x² + 3x

x² + 3x -130 = 0.

(x+13) (x-10) = 0

Therefore, x = -13 or x = 10.

Ultimately, the possible values of the width are; -13 or 10.

Since the width cannot be a negative number, it follows that the width of the box in discuss is; 10 inches.

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Answer:

option D is the correct option

Answer:

I'm not completely sure, but it does look similar to a Florida Mockingbird to me, I'll do more research and comment on any new finds. Hope this helps.

Step-by-step explanation:

Answer:

yeah it might be a florida mocking bird i got a lot around where i live

Step-by-step explanation:

A recipe uses 2 cups of milk to make 6 servings. If the same amount of milk is used for each serving, Two gallons of milk will make 192 servings

Given data

2 cups of milk to make 6 servings.

Assuming

1 gallon 4 quarts

1 quart 2 pints

1 pint 2 cups

1 cup = 8 fluid ounces

if 1 quart 2 pints, then 4 quarts will be

= 4 * 2 = 8 pints

if 1 pint 2 cups, then 8 pints will be

= 8 * 2 = 16 cups

if 1 gallon is 16 cups, the 2 gallons will be

= 16 * 2 = 32 cups

If 1 cup is 6 servings, then 32 cups will be

= 32 * 6 = 192 servings

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The number of students in the group = 13

for this question,

Let n be the number of students.

Each student received a bacon cheeseburger and milkshake, and the total bill was $104.00

We need to find the total number of students in the group.

A Bacon Cheeseburger costs $4.75 and Milkshake costs $3.25.

Total cost of a bacon cheeseburger and milkshake is:

$4.75 + $3.25 = $8

The total bill was $104.00

So, we get an equation,

⇒ 8 × n = 104

By unitary method,

⇒ n = 104/8

⇒ n = 13

Therefore, the number of students in the group = 13

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