PLEASE HELP FAST WITH THIS MATH

Step-by-step explanation:

Hey there!!!!

Given,

Angle r and angle s are supplementary angle.

And angle r = 120°.

Now, we have,

supplementary angle's sum is always 180°.

So, angle r + angle s = 180°.

or, 120°+ angle s = 180°

Therefore the measure of angle s is 60°.

Hope it helps....

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer:

B. Dependent variable

Answer:

a) 3

b) \(\frac{3}{2}\)

Step-by-step explanation:

Ewen has 48 white tiles and 16 blue tiles.

(a) Write down the ratio of the number of white tiles to the number of blue tiles.

Give your ratio in its simplest form.

The cost of each white tile was £2

The cost of each blue tile was £4

(b) Work out the ratio of the total cost of the white tiles to the total cost

of the blue tiles.

Answer:

a) Since they are 48 white tiles and 16 blue tiles, ratio of the number of white tiles to the number of blue tiles is the number of white tiles divided by the number of blue tiles. Therefore:

Ratio of white tiles to the blue tiles = number of white tiles/number of blue tiles = \(\frac{48}{16}=3\)

b)  total cost of the white tiles = number of white tiles × cost of each white tile = 48 tiles × £2 per tile = £96

total cost of the blue tiles = number of blue tiles × cost of each blue tile = 16 tiles × £4 per tile = £64

ratio of the total cost of the white tiles to the total cost  of the blue tiles = total cost of the white tiles/total cost  of the blue tiles = \(\frac{96}{64}=\frac{3}{2}\)

By permutation and combination, Maximum 171 number of different  2 - person teams are possible.

Provide an example of permutation and combination?

An arrangement of things in a specific order is referred to as a permutation. In this arrangement, the components or components of sets are organized in a linear or sequential order.

                       As an illustration, set A=1,6 has the permutation 2, which is 1,6,1. Permutations include the arrangement of individuals, digits, numbers, alphabets, letters, and colors. Combinations include things like choosing a menu, cuisine, clothing, a subject, and a team.

Total number of ways to choose different 2 person out of 19 person.

                     = ¹⁹C₂

              = 19!/2! (19 - 2)!

              =  19!/2!   17!

             = 19 * 18 * 17!/2 * 1 * 17!

            = 19 * 7

              = 171

Hence, maximum 171 number of different  2 - person teams are possible.

Learn more about permutation and combination

brainly.com/question/13387529.

#SPJ1

The equation could be used to solve for charles' rate if it is represented by x is 2x=54.

In the given question wehave to find the equation could be used to solve for charles' rate if it is represented by x.

Bill riding a bicycle at an average rate of 9 mph.

Charles' rate is x.

So the relative rate = x−9 mph

Distance traveled by Bill in 4 hours = 9*4 =36 mph

Charles' overtook Bill in 2 hours. So

Relative Rate = Distance/Time

x−9=36/2

Multiply by 2 on both side. We get

2(x−9)=36

Simplifying

2x−18=36

Add 18 on both side, we get

2x=36+18

2x=54

Hence, the equation could be used to solve for charles' rate if it is represented by x is 2x=54.

To learn more about speed formula link is here

brainly.com/question/7359669

#SPJ4

So the system of equations for Table 1 is  y = 2x + 12 and y = 2x - 12 for table 2    y = (13/5)x - 6.4 and y = (3/2)x - 5

what is system of equations?

A system of equations is a set of one or more equations involving the same variables. The solution for system of equations is  set of values for variables that make all   equations in the system true simultaneously.

what is variables ?

In mathematics, a variable is a quantity or value that can change or take on different values in a given problem or equation. Variables are often represented by letters or symbols, and they can be used to represent unknowns, parameters,

In the given question,

To write the system of equations that represents the given tables, we need to find the equations of the two lines that pass through the given points.

Table 1:

X -3 -5 6 -2

Y -6 -10 12 -4

Let's find the equation of the line passing through the first two points (-3, -6) and (-5, -10). The slope of this line can be found using the slope formula:

slope = (y2 - y1) / (x2 - x1)

slope = (-10 - (-6)) / (-5 - (-3)) = -4/-2 = 2

The y-intercept of this line can be found using the point-slope form of the equation:

y - y1 = m(x - x1)

Using the point (-3, -6):

y - (-6) = 2(x - (-3))

y + 6 = 2(x + 3)

y = 2x + 12

Similarly, let's find the equation of the line passing through the last two points (6, 12) and (-2, -4):

slope = (-4 - 12) / (-2 - 6) = -16/-8 = 2

Using the point (6, 12):

y - 12 = 2(x - 6)

y = 2x - 12

So the system of equations for Table 1 is:

y = 2x + 12

y = 2x - 12

Table 2:

X 6 -4 0 2

Y 12 -14 -5 -2

Let's find the equation of the line passing through the first two points (6, 12) and (-4, -14):

slope = (-14 - 12) / (-4 - 6) = -26/-10 = 13/5

Using the point (6, 12):

y - 12 = (13/5)(x - 6)

y = (13/5)x - 6.4

Similarly, let's find the equation of the line passing through the last two points (0, -5) and (2, -2):

slope = (-2 - (-5)) / (2 - 0) = 3/2

Using the point (0, -5):

y - (-5) = (3/2)(x - 0)

y = (3/2)x - 5

So the system of equations for Table 2 is:

y = (13/5)x - 6.4

y = (3/2)x - 5

To know more about system of equations, visit:

https://brainly.com/question/12895249

#SPJ1

Answer:51 degrees

Step-by-step explanation:

At noon the temperature is 75 degrees

the temperature drops 3 degrees every half hour.

First solve for time elapsed between noon and 4, which is 4 hours.

Next, we can change our rate to be in terms of full hours instead of half hours using the fact that 1 hr = 2 half hours, so the temperature drops 6 degrees every hour.

Four hours have elapsed so multiply 6*4 = 24 degrees and then subtract it from the starting 75

75 - 24 = 51.

a) To find the first three elements of the sequence defined by an = n^2 - 3n + 2, we simply substitute n = 0, 1, 2 into the expression for an and simplify: a0 = 2, a1 = 0, a2 = 0.

b) To show that the sequence satisfies the recurrence relation an = 2an-2 - an-2 + 2 for every n >= 2, we can use mathematical induction. Assume the relation holds for some arbitrary k >= 2. Then we can show that it also holds for k+1 by substituting k+1 into the expression and using the fact that an = (k+1)^2 - 3(k+1) + 2 = k^2 - k + 2 + 2k. After simplification, we arrive at the expression for ak+1 in terms of ak and ak-2, showing that the relation holds for k+1.

a) To find the first three elements of the sequence, we simply substitute n = 0, 1, 2 into the expression for an and simplify:

a0 = (0)^2 - 3(0) + 2 = 2

a1 = (1)^2 - 3(1) + 2 = 0

a2 = (2)^2 - 3(2) + 2 = 0

Therefore, the first three elements of the sequence are 2, 0, 0.

b) To show that the sequence satisfies the recurrence relation an = 2an-2 - an-2 + 2 for every n >= 2, we need to show that the expression for an can be written in terms of the previous two terms of the sequence, a(n-2) and a(n-1), using the given recurrence relation.

We can write:

an = n^2 - 3n + 2

  = (n-2)^2 - 3(n-2) + 2 + 2(n-2)

  = (n-2)^2 - 3(n-2) + 2n

Next, we can substitute n-2 for n in the expression for a(n-2) to get:

a(n-2) = (n-2)^2 - 3(n-2) + 2

Finally, we can substitute n-1 for n in the expression for a(n-1) to get:

a(n-1) = (n-1)^2 - 3(n-1) + 2

Now, we can use these expressions to write an in terms of a(n-2) and a(n-1) as follows:

an = (n-2)^2 - 3(n-2) + 2n

  = a(n-2) + 2(n-1) - (n-1)^2 + 3(n-1)

  = 2a(n-2) - a(n-1) + 2

Therefore, we have shown that the sequence satisfies the recurrence relation an = 2an-2 - an-2 + 2 for every n >= 2.

Learn more about recurrence relation:

https://brainly.com/question/31384990

#SPJ11

Mrs. Schimke should use the 15% off coupon because it would give her a greater discount, resulting in a lower final price of $127.50 compared to $135.00 with the $15.00 off coupon.

A coupon is a document or a code that entitles the holder to a discount, rebate or other form of incentive for the purchase of a product .

Answer for $15.00 off:

The final price after applying the $15.00 coupon would be:

Final price = $150.00 - $15.00 = $135.00

Answer for 15% off:

The final price after applying the 15% coupon would be:

Final price = $150.00 - 0.15($150.00) = $127.50

Therefore, Mrs. Schimke should use the 15% off coupon because it would give her a greater discount, resulting in a lower final price of $127.50 compared to $135.00 with the $15.00 off coupon.

Learn more about coupon here : brainly.com/question/27123871

#SPJ1

The numbers are 11 and 25.

Practice is the first thing to do also observe and break the statements into parts and write them in numerical form with their operations.

According to the given question One number is three more than twice another number.

let us denote these two numbers by x and y.

∴ y = 2x + 3.

The sum of the two numbers is 36.

So, (x+y) = 36.

(x + 2x + 3) = 36.

3x + 3 = 36.

3x = 33.

x = 33/3.

x = 11.

∴ y = 2(11) + 3.

y = 22 + 3.

y = 25.

learn more about these type of problems here :

https://brainly.com/question/14123715

#SPJ2

The equation for a​ two-week trip of 500 miles' rental cost is Total rent cost = 2x + 500y

Information about the problem:

To solve this problem, we have to state the equation using the information of the problem:

Car rent for 2 weeks = 2x

Car rent for 500 miles = 500y

Total rent cost = 2x + 500y

Example:

Car rent per week = $280/ week

Car rent per miles = $0.75/ mile

Total rent cost = (2 weeks * $280/ week) + (500 miles * $0.75/ mile)

Total rent cost = $560 + $375

Total rent cost = $935

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607

#SPJ4

Let $C$ be the event that the camera gets a 10% discount, $G$ be the event that the game gets a 25% discount, and $N$ be the event that neither item gets a discount. Then the probability of each event is:

\begin{align*}

P(C) &= 0.35\cdot 0.1 = 0.035 \\

P(G) &= 0.05\cdot 0.25 = 0.0125 \\

P(N) &= 0.6\cdot 1 = 0.6

\end{align*}

The amount saved on the camera is $0.1\cdot 200=20$, and the amount saved on the game is $0.25\cdot 80=20$. So, we want to find the probability that either event $C$ or $G$ occurs. Since the events are mutually exclusive, we can use the addition rule:

$$

P(C\text{ or }G) = P(C) + P(G) = 0.035 + 0.0125 = 0.0475

$$

The amount saved in dollars at the cash register is $X = 20 + 20 = 40$. To find the probability that the total amount saved is $20$, we need to sum the probabilities of all the ways to get $X=20$. There are two ways to do this: either the camera gets a 10% discount while the game gets no discount, or the game gets a 25% discount while the camera gets no discount. Using the multiplication rule and the probabilities above, we have:

\begin{align*}

P(\text{camera gets 10% discount, game gets no discount}) &= P(C)\cdot P(N) = 0.035\cdot 0.6 = 0.021 \\

P(\text{game gets 25% discount, camera gets no discount}) &= P(G)\cdot P(N) = 0.0125\cdot 0.6 = 0.0075

\end{align*}

Therefore, the probability that the total amount saved is $20$ is:

$$

P(X=20) = P(\text{camera gets 10% discount, game gets no discount}) + P(\text{game gets 25% discount, camera gets no discount}) = 0.021 + 0.0075 = 0.0285

$$

So the chance you save a total of $20$ is $\boxed{0.0285}$.

To learn more about probability refer below:

https://brainly.com/question/32004014

#SPJ11

The required bearing angle of town B from Thomas is 75°.

We have,

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that

Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 135° clockwise, then he faces towards town B,

The bearing angle will be 300+135 = 435°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 435 - 360 = 75

The bearing angle of town B from Thomas is 75°.

To know more about Bearing angle on:

brainly.com/question/10682201

#SPJ1

the values of the variable are simply labels or categories without any inherent order or ranking.

The scale of measurement that is used to rank order the observations for a variable is called the ordinal scale.

In the ordinal scale, the values of the variable can be ranked or ordered, but the differences between the values may not be meaningful or consistent. For example, we can rank the finishes of runners in a race from 1st to 10th place, but we cannot necessarily say that the difference between 1st and 2nd place is the same as the difference between 5th and 6th place.

In contrast, in the interval scale and the ratio scale, the differences between the values are consistent and meaningful. In the nominal scale, the values of the variable are simply labels or categories without any inherent order or ranking.

Learn more about variable

brainly.com/question/15078630

#SPJ11

Kim Lee owes an estimated amount of $4,800 in taxes based on the provided tax rate schedule and his taxable income of $34,000.

To calculate the estimated taxes that Kim Lee owes based on his taxable income of $34,000 and the provided tax rate schedule, we need to determine the tax bracket he falls into and apply the corresponding tax rate.

Let's assume the tax rate schedule is as follows:

Taxable Income Tax Rate

$0 - $10,000 10%

$10,001 - $40,000 20%

$40,001 - $80,000 30%

$80,001 and above 40%

Since Kim Lee's taxable income is $34,000, he falls into the second tax bracket (20% tax rate). We can calculate his estimated taxes as follows:

Taxable income in the second bracket = $34,000 - $10,000 = $24,000

Estimated taxes in the second bracket = Taxable income * Tax rate

= $24,000 * 20% (0.20)

= $4,800

To learn more about tax rate here:

https://brainly.com/question/31322936

#SPJ4

Answer:

The width, in inches of the larger cell phone is 6.14 inches.

Step-by-step explanation:

To solve we must set up a ratio.

\(\frac{8.4}{5.6} = \frac{9.21}{y}\)

After setting this ratio up, we can cross multiply to solve for y.

8.4(y) = 5.6(9.21)

8.4(y) = 51. 576

To get y alone we divide by 8.4 on both sides.

y = 6.14

The width, in inches of the larger cell phone is 6.14 inches.

Answer:(192/9.6)÷7=20/7

Step-by-step explanation:

Check the picture below.

Make sure your calculator is in Degree mode.

You will be able to withdraw approximately $3,076.32 at the end of 5 years.

To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.

The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:

\(FV = PV * (1 + r)^t\)

Given:

PV = $2,300

r = 6% = 0.06 (decimal representation)

t = 5 years

Substituting these values into the formula, we get:

FV = $2,300 * \((1 + 0.06)^5\)

Calculating the expression inside the parentheses:

\((1 + 0.06)^5 = 1.338225\)

Multiplying the present value by this factor:

FV = $2,300 * 1.338225

FV ≈ $3,076.32

Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.

Learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ11

You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent

The intensity and the threshold of the noise are illustrations of rates

The decibel measurement of a quiet room is 28

From the graph that completes the question, we have the following point

(Decibel, Intense) = (28,500)

This means that, the decibel measurement is 28

Hence, the decibel measurement of a quiet room is 28

Read more about sound and noise at:

https://brainly.com/question/13741664

Answer:

B or 28

Step-by-step explanation:

edge 22

Answer:

4: 32a^5 5: 2a / bc^2

Step-by-step explanation:

4. (2a)^3 / (2a)^-2

  = (2a)^3 * (2a)^2

     = 8a^3 * 4a^2

         = 32a^5

5. 10a^7 b^9 c^6 / 5a^6 b^10 c^8

    = 2a^7 b^9 c^6 / a^6 b^10 c^8

      = 2a / bc^2

Answer:

I'm not 100% sure, but I'd say 3/1 since:

Step-by-step explanation:

6 goes into 18 three times, 5 goes into 15 three times, 8 goes into 24 three times.

The pair of functions that are not inverses of each other is (A).

To determine if two functions, g(x) and h(x), are inverses of each other, we need to check if the composition of the two functions, g(h(x)) and h(g(x)), both result in x.

A. g(x) = 2 + 9 = 11, h(x) = 1/2x - 9

g(h(x)) = g(1/2x - 9) = 2 + 9 = 11

h(g(x)) = h(11) = 1/2(11) - 9 = -3/2

Since g(h(x)) ≠ x and h(g(x)) ≠ x, the functions g(x) and h(x) are not inverses of each other.

B. g(x) = x - 1, h(x) = x + 1

g(h(x)) = g(x + 1) = (x + 1) - 1 = x

h(g(x)) = h(x - 1) = (x - 1) + 1 = x

Since g(h(x)) = x and h(g(x)) = x, the functions g(x) and h(x) are inverses of each other.

C. g(x) = 3x - 6, h(x) = 1/3x + 2

g(h(x)) = g(1/3x + 2) = 3(1/3x + 2) - 6 = x

h(g(x)) = h(3x - 6) = 1/3(3x - 6) + 2 = x

Since g(h(x)) = x and h(g(x)) = x, the functions g(x) and h(x) are inverses of each other.

D. g(x) = 3x + 4, h(x) = x - 4/3

g(h(x)) = g(x - 4/3) = 3(x - 4/3) + 4 = 3x - 4

h(g(x)) = h(3x + 4) = (3x + 4) - 4/3 = 3x + 8/3

Since g(h(x)) ≠ x and h(g(x)) ≠ x, the functions g(x) and h(x) are not inverses of each other.

Learn more on inverse of a function here;

https://brainly.com/question/3831584

#SPJ1

Answer:

b. BC

Step-by-step explanation:

The first thing is to calculate the dimensions of each matrix, that is, the number of rows x number of columns:

dimensions of A: 2x2

B dimensions: 2x3

C dimensions: 3x3

D dimensions: 1x3

 We have that a matrix multiplication is defined, the internal numbers of its dimensions must be the same: we analyze each option:

BA: (2x3) * (2x2): the internal numbers do not match (a 3 for B and a 2 for A), so the multiplication of the matrix is not defined

BC: (2x3) * (3x3): the internal numbers are both 3, so the matrix multiplication is defined

CB: (3x3 ) * (2x3): the internal numbers do not match (a 3 for C and a 2 for B), so the multiplication of the matrix is not defined

CD: (3x3) * (1x3): the internal numbers do not match (a 3 for C and a 1 for D) so the multiplication of the matrix is not defined

Therefore the answer is b. BC

Answer:

7 > -7

Step-by-step explanation:

-9 is not greater than -4

-6 is not greater than -5

I am not sure what 7 -7 means in your first option but if it is consistent, then yes, 7 is greater than -7.