What is the function rule for the line?
f (x) = 2x - 4
f(x)=-4x - 2
f(x) = 4x - 2
f (x)= -2x + 4

The unknown value of x from the given diagram is equivalent to 14

According to the theorem, the relationship between the line segments produced by a secant and a tangent line and the corresponding circle is described by the tangent-secant theorem.

Applying the formula to solve the given question, we will have:

18 (18 +x) = 24²

18x + 324 = 576

18x = 576 - 324

18x = 252

x = 14

Hence the value of x from the given diagram is 14

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Answer:

So what's the Question Because to me it looks like something random

Answer:

answer is B tho i jus know

Step-by-step explanation:

The piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0, Option B is correct.

A relation is a function if it has only One y-value for each x-value.

From the given figure it is easily noticed that the function is increasing in nature for x<0 and the function is constant in nature for x>0 because the value of y remains unchanged for any value of x, where x≥0

The value of function is 3 at x=0.

The value of the function is always 3 for all x≥0 .

f(x)=3 for x≥0

The function is a straight line with intercepts (-3,0) and (0,3).

slope = 3-0/0+3

=1

Let us find the y intercept

0=1(-3)+b

b=3

Now equation is y=x+3

For x<0, the function is,

f(x)=x+3

Therefore the piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0.

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Answer:

56

Step-by-step explanation:

Answer:

I believe that it is the first one. N+89=12.

the answer is 89-n=12

The volume of the triangular pyramid, with a base area of 12 and a height of 25, is equal to 100 cubic units.

To calculate the volume of a triangular pyramid, we need the values of the base area and the height. Given that a = 12 and h = 25, we can proceed with the calculation.

The formula for the volume of a triangular pyramid is (1/3) * base area * height. Since we know the base area is equal to a, we can substitute the values into the formula.

Volume = (1/3) * a * h

Plugging in the given values, we have:

Volume = (1/3) * 12 * 25

Simplifying the expression further:

Volume = (1/3) * 300

Volume = 100

Therefore, the volume of the triangular pyramid, with a base area of 12 and a height of 25, is equal to 100 cubic units.

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Answer:

Area of the base = 24 cm²

Height of the prism = 5 cm

Volume of the prism = 120 cm³

Answer:8:26

Step-by-step explanation:you subtract what time it is by 1:34 then take away 60 for a hour and add it to a hour so taking 60 mins gives you a hour

Answer:

15

Explanation:

Note that a regular dodecagon is a 12 sided polygon with internal angles that are equal and sides of the same length.

So determine at what angle the architect should cut to frame the base, we have to divide 360 by 12 and divide the result by 2 as seen below;

The angle that the architect should cut to frame the base is 15 degrees

Answer:

C; Basketball

Step-by-step explanation:

Although Greg Ridley wants to play for the Scorpions when he grows up, he learns along the way that there are things that are more important, hence the use of the term "treasure."

He learns from this that memories, friendships, and family are all that matters and if having to let go of basketball to sustain the aforementioned elements (which may or may not be an easy thing to do), then it is much more of a necessity than a choice.

Hope this helped! :D

Answer:

Step-by-step explanation:

2+1(-1-3)

= 2+1[-(1+3)]

= 2+1(-4)

= 2+(-4)

=-(4-2)

=-2

Answer:

i think it's like this

2-1-3

=-2

Answer:

The expression simplifies to:

\((\frac{3p^2 + 49}{42p})^2 -(\frac{3p^2 - 49}{42p})^2\)

Using the difference of squares identity, the expression further simplifies to:

\(\frac{98p}{42p^2} = \frac{98}{42p}\)

Step-by-step explanation:

Answer:

60mph

Step-by-step explanation:

Answer:

Manny drove 45 miles in 0.75 hours.What was the average rate that he drove in miles per hour?

60 mph

Step-by-step explanation:

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

Sample space:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Third toss is heads:

{HHT, HTT, THT, TTT}

First toss is heads, second tails and third heads:

{HTH}

Explanation:

In order to find the sample space we need to write all the possible outcomes from tossing the coin three times.You can start by writting all the possible outcomes for the first toss being a head and finish with all the possible outcomes for the first toss being Tails. The number of elements in the sample space can be found by multiplying the possible outcomes of each toss together, so 2*2*2=8

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For the third toss being heads we will have one restriction this time. Which is that the third toss is Tails. You can take the elements from the sample space where the third element is a tails. In this case, the number of elements can be calculated by multiplying the possible outcomes for only the first two tosses 2*2=4

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For first toss is heads, second tails and third heads there is only one possible way for you to get this outcome so there is only one element to this set.

{HTH}

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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This means that the football’s height when it was kicked 41 yards away was -1.762 yards.

A yard is a unit of length measurement in the imperial and US customary systems of measurement. It is equal to 3 feet or 36 inches.

The equation given is a parabolic equation which models the path of the football. It is a quadratic equation in the form of y = ax² + bx + c, where a, b, and c are coefficients that determine the shape of the path. The coefficient a represents the rate of change in the football’s height as it moves away from the punter. In this equation, a is -0.035, which indicates that the football’s height decreases as it moves away from the punter. The coefficient b indicates the rate of change in the football’s height as it moves back toward the punter, and in this equation, b is 1.4, which means that the football’s height increases as it moves back towards the punter. Finally, the coefficient c is 1, which indicates the height of the football when it is kicked.

In this case, the football was kicked 41 yards, so plugging x = 41 into the equation gives us y = -0.035(41²) + 1.4(41) + 1 = -1.762.

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Answer:

120 different ways

The total number of ways to do this is the product because of the fundamental counting principle[1]. So 5x4x3x2x1 = 5! (read as “5 factorial”[2]) = 120 different ways to line up those 5 people. Five people lining up essentially means 5 people sorting into 5 positions.

Answer:

404 & 408

Step-by-step explanation:

Answer:

12,13,14

Step-by-step explanation:

Consecutive means something like 1,2,3 or 43,44,45.

So we know the siblings age is something like that.

We start from the youngest, and let's say the youngest's age is x.

Remember consecutive? So the three siblings' age would be x, x+1, x+2 respectively. We can prove this is consecutive by replacing x with a random number, say, 2. That would make x, x+1, x+2 become 2, 2+1, 2+2, which is 2,3,4.

Sum of their age is 39:

Adding x, x+1, x+2 together is 39, so x + x+1 + x+2 = 39

We can further simplify x + x+1 + x+2 = 39 into

3x + 3 = 39

3x = 39-3

3x= 36

x=36÷3

x=12

Remember that x is the youngest age? So naturally the three siblings' ages are 12, 13 and 14 respectively.

The total number of possible license plates will be 17,576,000.

Combinations are the procedures used in mathematics to pick k things from n different items without replacement.

The following formula computes the combinations of k items from n:

(n, k) = n! / k!×(n-k)!

There are 26 letters in the English alphabet and 10 digits,

So there are (26 x 26 x 26 )26³ possible letter combinations and 10³ (10 x 10 x 10) possible digit combinations.

The total number of possible license plates is the product of these two:

26³ x 10³ = 17,576,000

Thus, the total number of possible license plates will be 17,576,000.

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Answer:

  $2496

Step-by-step explanation:

You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.

The dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.

In square yards, the area is ...

  (6 yd)(8 yd) = 48 yd²

The cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.

  (48 yd²)($52/yd²) = $(48·52) = $2496

The total price to carpet the floor is $2496.

__

Additional comment

We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.

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False, that is if the number of data observations is even, the median is generally considered to be the average of middle values not the first and last values.

The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.

At least half of the observations are equal to or smaller than the median, and at least half of the measurements are equal to or greater than the median. The median divides the bottom half of observations from the upper half.

Even Number of Observations :

Suppose we have the monthly wages of 4 employees of a company. How would you find the median wage?

wages are 120,240,500,400

we have arranged their wages above from lowest to highest. This ranking will help us to determine the median. Using the method introduced earlier, the median is computed by taking the simple average of the (n/2)ᵗʰ = (4/2)ᵗʰ = 2ⁿᵈ and

(n/2 + 1)ᵗʰ = (2+1)ᵗʰ = 3ʳᵈ observations.

Therefore, the median is 240+500/2

= 370.

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Complete question

True/false

if the number of data observations is even, the median is generally considered to be the average of the first and last values

Answer:

10.5 percents

Step-by-step explanation:

1)100+30=130 percents;

2) 130/100*15=19.5percents of discount from the first price

3) 130-19.5=110.5 percents- new price from the initial price

4)110.5-100=10.5 percents - the percentage of profit

Answer:

the set of all real numbers -1≤y≤1

Step-by-step explanation:

according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.

The expression (32 ÷ (10 - 8)) ÷ 2 - 3 evaluates to 5 and includes the necessary parentheses to achieve this result.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

To make the value of the expression equal to 5, we can use parentheses to change the order of operations. One possible way to do this is:

32 ÷ (10 - (8 ÷ 2) - 3)

First, we evaluate the expression inside the parentheses:

8 ÷ 2 = 4

10 - 4 - 3 = 3

So now the expression becomes:

32 ÷ 3

=10.67

This is not equal to 5.

To make the value of the expression equal to 5, we need to modify the expression inside the parentheses. One way to do this is:

32 ÷ (10 - (8 ÷ (2 - 3)))

Here, we use the parentheses to change the order of operations so that we subtract 3 from 2 before dividing 8 by the result. This gives us:

8 ÷ (-1) = -8

So now the expression inside the parentheses becomes:

10 - (-8) = 18

So the entire expression becomes:

32 ÷ 18 = 1.78

This is still not equal to 5.

Another way to make the value of the expression equal to 5 is:

(32 ÷ (10 - 8)) ÷ 2 - 3

Here, we use the parentheses to ensure that we divide 32 by the result of (10 - 8) before dividing the whole expression by 2 and subtracting 3. This gives us:

32 ÷ 2 - 3 = 13

So the entire expression becomes:

13

And this is equal to 5.

Therefore, one possible expression that includes a set of parentheses so that the value of the expression is 5 is:

(32 ÷ (10 - 8)) ÷ 2 - 3

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Answer:

x=4

x=2.5

Step-by-step explanation:

2x² - 3x - 20 = 0

assign a, b, and c using ax² + bx + c = 0

so a = 2

b = -3

and c = -20

then you plug that into the quadratic formula which gets you:

\(x=\frac{-(-3)+\sqrt[]{(-3)^{2}-4*2*(-20) } }{2*2}\)

It looks complicated but it's not so bad if you take it one step at a time

a negative negative is a positive, so that -(-3) in the front is just 3

Inside the square roots sign we can evaluate the power: -3 squared is 9

and -4 times 2 is -8 and -8 times -20 is 160

then on the bottom, 2 times 2 is 4

The equation is now

\(x=\frac{3+\sqrt{9+160} }{4}\)

9+160=169, and the square root of 169 is 13

\(x=\frac{3+13}{4}\)

3 + 13 = 16

16 divided by 4 is 4

so your first answer is 4

Now you have to do it again with a subtraction sign in front of the square root. The good thing is all the steps are the same until the last one. (We're not actually changing the contents of the root, just what we do with the result)

so when where we used to have \(x=\frac{3+13}{4}\) its going to be \(x=\frac{3-13}{4}\)

3- 13 = -10

and -10 divided by 4 = -2.5

Answer:

Step-by-step explanation:

66

Let us find the solution for:

-(x – 4) + 2 = 6 – X

Solve the equation for x:

-(x – 4) + 2 = 6 – X

Multiply the negative sign in the expresion -(x – 4) = -x + 4

-x + 4 + 2 = 6 – X

-x + 6 = 6 -x

Subtract 6 and sum x in both sides

-x + 6 -6 +x = 6 -x +x -6

-x + x = 6 - 6

0 = 0

The equation is true for every x, which means that x can be any real number