Solve. 4x+2=(1/8)x-2
_______

Answer:

This means that the domain of this situation is \(m \in [0,200]\), that is, you can talk between 0 and 200 minutes in the month.

Step-by-step explanation:

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for the phone service.

This means that the cost of speaking for m minutes is given by:

\(C(m) = 8 + 0.12m\)

You can talk for no more than 200 minutes in a month.

This means that:

\(m \leq 200\)

What is the domain of this situation?

The domain of a function is the input variable.

In function C(m), m is the input variable, and since you can talk for no more than 200 minutes in a month, the restriction for the input is \(m \leq 200\).

This means that the domain of this situation is \(m \in [0,200]\), that is, you can talk between 0 and 200 minutes in the month.

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

\(y=150(1+0.03)^t\)

\(y=150(1.03)^t\)

The value of painting after double is 300. Substitute y=300.

\(300=150(1.03)^t\)

Divide both sides by 150.

\(2=(1.03)^t\)

Taking log both sides.

\(\log 2=\log (1.03)^t\)

\(\log 2=t\log (1.03)\)

\(t=\dfrac{\log 2}{\log (1.03)}\)

\(t=23.44977\)

\(t\approx 23\)

Therefore, the required number of years is 23.

Answer:

m = 6, b= 9

Step-by-step explanation:

Simplifying the equation, we get y = 6x + 9.

Matching this up with y = mx + b, we get m = 6 and b = 9.

Answer:

sept one

Step-by-step explanation:

Answer:

multiple it and then when you get your answer times them

To solve a multi-variable problem, you need to isolate single variables. To do this, there are two ways to do it. One way you eliminate one of the variables and the other you substitute.

In this example, you are being asked to eliminate one of the variables. To do this, you multiply 2x+2y= 12 by 2 and get 4x+4y = 24.

See how now both equations contain a 4y?

Using this you can subtract one equation from the other.

5x+4y=28

- 4x+4y=24

And then you get x=4

To get the other variable, you substitute 4 in for x (in one of the equations) and then solve for y.

2(4) + 2y =12

8+2y= 12

2y=4

y=2

Therefore, x = 4 and y = 2

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer: 6

Step-by-step explanation:

Answer:

triangle is the mathematical shape which has three sides and its sum is 180°.

hexagon has six side and sum is 180°×6.

Sorry, it is not nice explaination.

Answer:

528 cm = 5.77 yards  <---- ( 5.77428 )

x = 46.77

To find the missing length, we need to partition the trapezoid

Using an illustration:

So first, we solve for y :

adjacent = base = y

hypotenuse = 24

angle = 45 degree

using cosine ratio:

cos 45 = adjacent/hypotenuse

sin 45 = y/24

cross multiply:

24×cos45 = y

y = 24(0.7071)

y = 16.97

Now we solve for z:

Adjacent angles of a trapezoid are supplementary.

The red arrow are the adjacent angles

120 + the adjacent angle at the base = 180 degree

the adjacent angle at the base = 180 -120

the adjacent angle at the base = 60 degree

using sine rule, we find the height

sin45 = opposite/hypotenuse

sin45 = height/24

h = 24×sin45 = 24(0.7071)

h = height = 16.9704

since we have gotten the height, we apply tangent ratio to get z:

tan60 = opposite/adjacent = height/adjacent

tan60 = 16.9704/z

z × tan60 = 16.9704

z = 16.9704/tan60

z = 16.9704/1.7321

z = 9.80

The length of the missing side of the trapezoid = x

x = y + w + z

w = 20 (it is parallel with base on top)

x = 16.97 + 20 + 9.8

x = 46.77

Answer:

y = 1.5x + 5

Step-by-step explanation:

Answer: y=1.5x+5 and the estimate the mood rating for a student that spent 2.52  hours playing sports is 8.75

Step-by-step explanation:

The distance and direction of the ship from the starting point is found using vectors as follows;

The ship is 48.03 nautical miles from the starting point at a directional bearing of N 18.53° E

A vector is a quantity that has a property of magnitude or size and direction.

The ship's speed = 36 nautical miles per hour

Direction of the ship = Due east

The duration the ship continues in the direction = 1 hour

The new direction of the ship = N32°E

The duration in which the ship continues in the new direction = Half an hour

The vector of the distances traveled by the ship are;

\(\overrightarrow{d_1}\) = 36·i

\(\overrightarrow{d_2}\) = 0.5 × 36×sin(32°)·i + 0.5 × 36×cos(32°)·j = 18×sin(32°)·i + 18×cos(32°)·j

The sum of the distances traveled by the ship is therefore;

36·i + 18×sin(32°)·i + 18×cos(32°)·j = (36 + 18×sin(32°))·i + 18×cos(32°)·j

(36 + 18×sin(32°))·i + 18×cos(32°)·j = 45.54·i + 15.26·j

The distance of the ship from the starting point, d, is therefore;

d ≈ √(45.54² + 15.26²) ≈ 48.03

The distance of the ship from the starting point is approximately 48.03 miles.

The direction from the North of the ship from its starting point, θ, is therefore;

\(\theta = arctan\left(\dfrac{15.26}{45.54} \right) \approx 18.53^{\circ}\)

Then direction of the ship is N 18.53° E

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So we need to calculate the unit price for each bottle of shampoo. The unit price in this case is the price per ounce i.e. the amount of money that each ounce costs in that bottle. This quantity is calculated by taking the total price of the bottle and dividing it by the ounces of shampoo it has:

Then for the 14.2oz bottle we have:

Then for the 33.9oz bottle we get:

Then the unit price for each size and first pair of answers are:

Unit price for the 14.2-ounce bottle: $0.28

Unit price for the 33.9-ounce bottle: $1.77

Then we have to decide which is a better buy. The answer is simple: the one with the lowest unit price. This would be the 14.2-ounce bottle. Then the last answer is the first of the three options:

-The 14.2-ounce bottle

-The 33.9-ounce bottle

-Neither (They have the same unit price)

Answer:

Not 100% sure but I'd say that the answers are possibly, 'A. X=2 or D. X=-2'.

Answer:

6

Step-by-step explanation:

We have y ∝ x which is another way of saying y varies directly with x

We can rewrite the direct proportion relation y ∝ x as y = k.x where k is a constant - the constant of proportionality

So y = kx or x = y/k

using y and x values know, we can solve for k and then solve for any x given y

We have

y = 37.4 =  k (17)

Therefore k = (37.4/17) = 2.2

To find x given y = 13.2, use the second equation
x = y/k = 13.2 / 2.2 =  6

The Z-score of a value is the count of the number of standard deviations between the value and the mean of the set. Hence, the height of a man with a z-score is \(25.35inches\)

What is z-sore ?

The z-score of a value is the count of the number of standard deviations between the value and the mean of the set. You can find it by subtracting the value from the mean and dividing the result by the standard deviation.

Here given that,

mean=\(69.0 inches\)

standard deviation=\(2.8 inches\)

\(x=-2\)

The general formula of the z-score is

\(z=\frac{x-mean}{standard deviation}\)           .......\((1)\)

Now, putting the values in the equation \((1)\), we get

\(z=\frac{-2-69.0}{2.8}\\z=\frac{71}{2.8}\\z=25.35inches\)

Hence, the height of a man with a z-score is \(25.35inches\)

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Step-by-step explanation:

35:12

40:17

45:22

50:27

55:32

Answer:

Adding +6 in turn

Step-by-step explanation:

-13+6=(-7)

(-7)+6=(-1)

(-1)+6=5

5+6=11

11+6=17

17+6=23

23+6=29

29+6=35

........... And so on

First, write out the multiples of 6 and 26. Then find the common multiple they share that is immediately less than 85. (I do 26 first since it will have less multiple and it will give me an idea of what to look for within the multiples for 6)

26: 26, 52, 78 (anything more will be over 85 and we need a number less than 85)

6: 6, 12, 18, 24, 30, 36, 42, 48, 56, 72, 78 (I stopped at 78 since any number after this will be larger than 85)

I now look to find the multiple that both 26 & 6 shares that is also less than 85 and it landed me on the number 78!

The Answer: 78

Hope this helps!

The correct answer about experiment, trial, and outcome is

a. The experiment identifies whether a head or tail

b. The experiment is flipping the coin  

d. A trial is one flip of the coin  

An experiment in probability is a process or activity that involves observing or measuring an outcome or event, in order to determine the likelihood or probability of certain outcomes.

In probability, an outcome refers to a possible result that can occur from an experiment or event. It is one of the possible outcomes that can happen, and it may be a single result or a set of results.

In probability, a trial is a single repetition of an experiment or event. It is the process of observing or measuring the outcome of an event or experiment once.

Here we have

At a sports event, a fair coin is flipped to determine which team has possession of the ball.

The coin has two sides, heads, (H), and tails, (T).  

From the given options correct answers are

a. The experiment identifying whether a head or tail is flipped is correct because the experiment is to determine which side of the coin will be facing up after the coin is flipped, either heads (H) or tails (T).

b. The experiment is flipping the coin is correct because the experiment involves physically flipping the coin.

d. A trial is one flip of the coin is correct as a trial is defined as a single performance of an experiment, in this case, flipping the coin once.  

Therefore,

The correct answer about experiment, trial, and outcome is

a. The experiment identifies whether a head or tail

b. The experiment is flipping the coin  

d. A trial is one flip of the coin  

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Answer:

3,10,17,24

Step-by-step explanation:

An Arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

3,10,17,24

the difference is 7

Answer:

8 apples.

Step-by-step explanation:

Answer:

8 apples

Step-by-step explanation:

Have a nice day

Answer:

I think it is -12

Multiply -0.75 (3 quarters) by 16.

The negative cancels out the positive number.

Since the exponent is not saying multiply the number by itself a number of times, we could make a hypothesis that this is just multiplication.

Normally, this ↑ is not the case, but here, I could make an exception.

I hope this helps you, let me know if you need something else.

The Value for x and y as follow:

A) x=2 and y=-8

B) x = -2 and y = 5

C) x = -9/4 and y= -5/2

The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Given:

A) 9x- 2y = 34...............(1)

5x+ 2y = -6..............(2)

Adding equation (1) and (2) we get

9x -2y = 34

5x + 2y = -6

_____________

14x = 28

x= 28/14

x= 2

and, 5x +2y= -6

5(2) + 2y= -6

2y = -6 -10

y = -8

B) x+ 6y = 28.....................(3)

2x -3y = -19................(4)

Multiply equation (2) by 2 we get

4x - 6y = -38.......................(5)

Adding equation (3) and (5), we get

x + 6y = 28

4x- 6y = -38

___________

5x = -10

x= -2

and, x+ 6y= 28

-2 +6y= 28

6y= 30

y=5

C) 8x -6y = -3................(6)

6x -5y = -1......................(7)

Multiply equation (6) by 5 and equation by (6), we get

40x - 30 y = -15

36 x - 30y = -6

-       +           +

____________

4x = -9

x= -9/4

and, 8x - 6y = -3

8(-9/4) - 6y = -3

-18 - 6y= -3

-6y = 15

y = -5/2

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Answer:

1/x = 1/2÷4/5

1/x=1/2 x 5/4

1/x=5/8

5x=8

x=1.6