in the figure below, RTS is an isosceles triangle with sides SR=RT, TVU is an equilateral triangle, WT is the bisected of angle STV, points S, T, and U are collinear, and c= 40 degrees.I'm completely lost and have to answer for a, b+c, f, b+f, a+d, e+g

Rate of interest for

A = $5000

THEN apply formula

A-P= P•R•T/100

T = 3 years

Then

6050 - 5000= 1050 =

1050= P•R•T/100

Now find R

R= (1050•100)/(P•T) = (105000)/(5000•3) = 7

Then ANSWER IS

ANUAL RATE(%) = 7%

To know the expression that is less than 1 when x=4

we will need to check each expression

As for the first one;

anything raise to the power of zero will give 1, since the o affects all that is in the bracket, then the expression is 1

Hence it is not less than 1

For the second expression;

The value is less than 1

For the third expression;

substituting x=4 in the above expression

The above is the same as;

Given:

length(l) = width(w) + 2

Negative not possible.

Here is the completed table:

Number of phones manufactured     Total cost of Manufactured phones

0                                                                  $400

1                                                                    $525

2                                                                    $650

3                                                                    $775

The equation that represents the total cost is C = $400 + $125p .

The equation that represents the total cost is a function of the fixed cost and the variable cost. The fixed cost remains constant regardless of the level of output. The variable cost changes with the level of output.

Total cost = fixed cost + total variable cost

Total cost = fixed cost + (variable cost x total output)

C = $400 + ($125 x p)

C = $400 + $125p

Total cost when 0 phones are made =  $400 + $125(0) = $400

Total cost when 1 phone are made =  $400 + $125(1) = $525

Total cost when 2 phones are made =  $400 + $125(2) = $650

Total cost when 3 phones are made =  $400 + $125(3) = $775

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Based on the monthly fee charged by Company A and the charges per minute for calls, the model for the total cost of Company A's plan is Total cost = 20 + 0.05m.

The model to find the total cost of Company A's plan will incorporate the monthly fee paid as well as the amount paid for each minute of calls.

The model for the cost is therefore:

Total cost = Fixed monthly fee + (Variable fee per minute x Number of minutes)

Fixed monthly fee = $20

Variable fee per minute = $0.05

Number of minutes = m

The model for the total cost of Company A's plan is:

Total cost = 20 + 0.05m

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The required equation that represents the total cost of Company a's plan is x = 20 + 0.5m.

As of the given data, Company A has a monthly fee of $20 and charges $.05/min for calls. An equation that represents the total cost of Company a's plan is to be determined.

Here,
Let x be the total cost of the company and m be the number of minutes on a call.
According to the question,
Total charges per minute on call  = 0.5m
And a monthly fee = $20
So the total cost of company a is given by the arithmetic sum of the sub-charges,
X = 20 + 0.5m

Thus, the required equation that represents the total cost of Company a's plan is x = 20 + 0.5m.

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Answer

(3^1/4)²

= (3^1/4) x (3^1/4)

=(3)^1/4 + 1/4

=(3)^1/2

Which can also be expressed as

= √3

²

The equation of the perpendicular line is y = -3x - 60

The equation is given as

12y - 4x = 8

Make y the subject

12y= 4x + 8

y = 1/3x + 2/3

The point is also given as

Point = (-10, -30)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 1/3

This means that the slope of 12y - 4x = 8 is 1/3

So, we have

m = 1/3

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -3

The equation of the perpendicular lines is then calculated as

y = m(x - x₁) +y₁

Where

m = -3

(x₁, y₁) = (-10, -30)

So, we have

y = -3(x + 10) - 30

Evaluate

y = -3x - 30 - 30

y = -3x - 60

Hence, the perpendicular line has an equation of y = -3x - 60

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From the given figure we can see

The population in town A is increased by a constant rate because

Since the difference between every 2 consecutive terms is the same, then

The rate of increase of population is constant and = 1000 people per year

The form of the linear equation is

m = the rate of change

b is the initial amount

Then from the information given in the table

m = 1000

b = 10,000

Then the equation of town A is

Fro town B

Then the rate of increase of town by is exponentially

The form of the exponential equation is

a is the initial amount

R is the factor of growth

t is the time

Since R = 1.05

Since a = 10000, then

The equation of the population of town B is

We need to find t which makes the population equal in A and B

Then we will equate the right sides of both equations

Let us use t = 4, 5, 6, .... until the 2 sides become equal

Since 43219 approximated to ten thousand will be 40000, then

A and B will have the same amount of population in the year 30

The answer is year 30

Given problem is

Now,

We know that

Using this face,

Hence, the simplified form is

All the outcomes of the cube are equally probable, therefore, it is expected to have all the outcomes after 6 rolls. To find the amount of times we're supposed to get one of the outcomes, we multiply the amount of rolls by the probability of this outcome.

The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes. We have one number five out of six possible numbers, therefore, the probability of getting a 5 is:

Therefore, in 276 rolls we're going to get the following amount of 5's:

5 will show 46 times.

Answer:

13.2 cm

Step-by-step explanation:

Use Pythagorean Theorem

Hypotenuse^2  = (leg1)^2 + (leg2)^2

    H^2               = 13^2 + 2^2

                           = 169 + 4

       H^2 = 173

          H = sqrt (173) = 13.2 cm

The Solution:

Given that the distance is defined by the function below:

We are required to find the average speed of the ladybug from t=1 second to t=3 seconds in inches/second.

Step 1:

For t=1 second, the distance in inches is

For t=3 seconds, the distance in inches is

By formula,

In this case,

Distance covered = change in distance, which is

Time taken = change in time, which is:

Substituting these values in the formula, we get

Therefore, the correct answer is 11 inches/second.

When working with inequalities you have to remember that:

The symbol "<" indicates that the number on the left is smaller than the number on the right, then, for example:

This indicates that 85 is less than 90.

The symbol ">" indicates that the number of the left is greater than the number on the right, for example:

This indicates that 70 is greater than 54.

Now for the given statement:

"The sign points at the smaller number"

The expression indicates that 2 is less than 100, so the statement is true.

Since Edson take t minutes in each exercise set

Since he does 6 push-ups sets

Then he will take time = 6 x t = 6t minutes

Since he does 3 pull-ups sets

Then he will take time = 3 x t = 3t minutes

Since he does 4 sit-ups sets

Then he will take time = 4 x t = 4t minutes

To find the total time add the 3 times above

Total time = 6t + 3t + 4t

Total time = 13t minutes

The time it takes Edison to exercise is 13t minutes

We are given that the sum of two numbers is 24. If "x" and "y" are the two numbers then we have that:

We are also given that one number is three times the other, this is expressed as:

Now, we substitute the value of "x" from the second equation in the first equation:

Now, we add like terms:

Now, we divide both sides by 4:

Therefore, the first number is 6. Now, we substitute the value of "y" in the second equation:

Therefore, the other number is 18.

Answer:

y = 5u², u=x-6

Explanation:

Given the function:

We want to express f(x) as a composition of two functions.

Let u = x-6

Therefore, the function y=5(x−6)² as a composition y=f(g(x)) of two simpler functions y=f(u) and u=g(x)

The composite functions in this problem are given as follows:

a) (f ∘ g)(x) = x^4 + 18x² + 81.

b) (g ∘ f)(x) = x^4 + 9.

c) (f ∘ f)(x) = x^4.

d) (g ∘ g)(x) = x^4 + 18x² + 90.

All these functions have a domain of all real values.

For composite functions, the outer function is applied as the input to the inner function.

In the context of this problem, the functions are given as follows:

For item a, the composite function is given as follows:

(f ∘ g)(x) = f(x² + 9) = (x² + 9)² = x^4 + 18x² + 81.

For item b, the composite function is given as follows:

(g ∘ f)(x) = g(x²) = (x²)² + 9 = x^4 + 9.

For item c, the composite function is given as follows:

(f ∘ f)(x) = f(x²) = (x²)² = x^4.

For item d, the composite function is given as follows:

(g ∘ g)(x) = g(x² + 9) = (x² + 9)² + 9 = x^4 + 18x² + 90.

None of these functions have any restriction on the domain such as fractions or even roots, hence all of them have all real values as the domain.

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We were told that volume of water that flows over the fall each second is 2.9 x 10^5 gallons.

Recall, 1 hour = 3600 seconds

If 1 second = 2.9 x 10^5 gallons, then

3600 seconds = 3600 x 2.9 x 10^5

= 1.044 x 10^9 gallons

Thus, 1.044 x 10^9 gallons of water will flow over the falls in an hour.

1) In this question, we need to resort to that Explicit formula, with the first term so that we can find the terms:

2) As we can see, this is an Arithmetic sequence. And the answer is:

===================================================

Work Shown:

5 blue + 4 red = 9 total

A = P(1st is red, 2nd is red)

A = P(1st is red)*P(2nd is red, given 1st is red)

A = (4/9)*(3/8)

A = 12/72

B = P(1st is blue, 2nd is red)

B = P(1st is blue)*P(2nd is red, given 1st is blue)

B = (5/9)*(4/8)

B = 20/72

C = P(2nd is red)

C = A+B

C = 12/72 + 20/72

C = 32/72

C = 4/9

Given the graph of the quadratic function with vertex (-4,-3) as shown below:

The domain of the function is a set of input values. The range of a quadratic function continues in either direction along the x-axis, as shown by the arrows in the above plot. The range is the set of output values. In other words, it is the possible values of y in a quadratic function.

Thus, the domain of the function is:

The range of the function is :

We are required to graph the exponential function:

First, we determine the five points which we plot on the graph.

Next, we plot the points on the graph.

This is the graph of the given exponential function.

Total of 11,000 students

Green 36%​

how many chose green?

Chose green = 11000 * 36/100 = 3960

36% of 11,000 is 3960

Answer:

3,960 students chose green

The new point is located at (2,4)

Here, we want to get the result of a translation

2 units up simply mean, we are adding 2 to the y-axis value

5 units left mean we are subtracting 5 from the x-axis value

We can represent the translation as;

With regard to promoting standards of excellence, Lafasto and Larson (2001) identified three Rs that help improve performance:

The LaFasto and Larson Model investigated team effectiveness. It is founded on the premise that, while individuals might be highly competent and talented, teams solve the most challenging issues.

It doesn't matter how skilled an individual is if they can't operate as part of a team.

They studied the traits of 75 highly successful teams. They discovered that high standards of excellence were a critical component in team performance.

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The random sample is determined as the simplest forms of collecting data from the total population.

Under random sampling, each member of the subset carries an equal opportunity of being chosen as a part of the sampling process.

So according to the question given

Assign each person of the population a number. Put all the numbers into bowl and choose ten numbers.

is the random sample because every person carries an equal opportunity of being chosen from the total population.

Hence the correct option is A.

Point B is the midpoint if it divides line segment AC into two congruent segmentsIf point B is not the midpoint, then point B does not divide the line segment AC into two congruent segments, which is the statement opposite to the one that has been made.

Which statement is the converse of the conditional statement ?

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We are given the following triangle:

We need to determine the area of the triangle. To do that we need to determine sides "a" and "b". We will use the sine law to determine the side "b":

Now, we multiply both sides by "sin107":

Solving the operations:

Now, before determining side "a" we will determine the angle "x" that is opposed to "a". To do that we will use the fact that the sum of the interior angles of a triangle is 180, therefore:

Adding the values:

Now, we subtract 155 from both sides:

Therefore, the angle opposite to "a" is 25 degrees. Now, we apply the sine law:

Now, we multiply both sides by "sin(25)":

Solving the operations:

Now, we determine the area using the following formula:

Where:

Now, we determine the value of "s":

Solving the operation:

Now, we substitute the value in the formula for the area:

Solving the operations:

Now, since the search party can cover 300 ft^2/h we can use a rule of 3 to determine the number of hours it takes them to cover 2611.43 ft^2:

Now, we cross multiply:

Now, we divide both sides by 300ft^2:

Solving the operations:

Therefore, it takes 8.7 hours to cover the area. Therefore, the search party won't be able to conclude before the sun goes down.