The are A of a triangle with base b and height h is given by A = 1\2 by. Find the area when b= 24 m and h=30 m

The graph of this sinusoidal function can be drawn as shown in the diagram below. As the Ferris wheel rotates, the position of the seat varies sinusoidally with respect to time.

Graph is a type of diagram used to represent information using a network of points and lines that connect them. It is a powerful data visualization tool that can help to effectively convey information and make relationships between data sets easier to understand. Graphs can be used to represent a wide variety of data types such as numerical, categorical or time-series data. Graphs are commonly used in mathematics, physics, biology, engineering, economics, and other disciplines.

b. The lowest point the seat reaches is 0 feet above ground, as the Ferris wheel makes a full rotation.

c. An equation of this sinusoid can be written as y = A sin (Bt + C), where A is the amplitude, B is the angular frequency, t is time, and C is the phase shift.

d. When you have been riding for 4 seconds, your height above ground is 43 feet.

e. Using Desmos, the first three times your height is 18 feet above ground can be found by solving the equation y = 18. The solutions are t = 0.715 seconds, t = 4.715 seconds, and t = 8.715 seconds.

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The discriminant of the quadratic equation 2x + 5x2 = 1 is 24.

--

Use this formula

Plug in

You get 24

Answer:

24

Step-by-step explanation:

Discriminant

b² - 4ac   (when ax² + bx + c = 0)

Assuming the given equation is:   2x + 5x² = 1

Rewrite the equation so that it equals zero:

⇒ 5x² + 2x - 1 = 0

Therefore,  a = 5    b = 2    c = -1

Input these into the discriminant formula and solve:

⇒ 2² - 4(5)(-1) = 4 + 20

                      = 24

Therefore, the discriminant of the quadratice equation is 24.

Answer: 1/6

Step-by-step explanation:

There are 6 faces in a dice

The faces are labeled as =

1

2

3

4

5

6

This means, there are 6 different outcomes in a dice

So we have to find out the probability of the dice showing 3

Now, out of 6 different possible outcomes, there is only 1 face labeled as 3.

So there is only 1 possible outcome as "3".

We can simply make it a fraction = 1/6 . 

So the answer is 1/6

Probability is expressed as a fraction, percentage and decimal.

Answer:

\(c - 3d = 1 - 3( \frac{1}{3} ) = 1 - 1 = 0\)

I hope I helped you^_^

The trigonometric function on the graph is:

f(x)= -cos(x)

So the correct option is B.

Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.

Notice that:

sin(0)= 0

cos(0) = 1

So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:

f(x) = -cos(x)

That is the graphed function.

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Answer: Here's what I got:

Step-by-step explanation:

I don't know if this what you wanted:

Answer:

The machine can drill 50 holes in 25 minutes!

Explanation:  

6 by 4 is 24, which in this context will be 24 minutes. Therefore, multiply 12 by 4 to get the sum of 48. Then, to find the remaining 1 minute, divide 12 by 6 to get 2 which is the amount of holes per minute. Add 2 to 48 and that is your answer!  

Answer:

Second option

Step-by-step explanation:

In order to find the answer to this question you have to divide the numerator into the denominator remembering that whole numbers have a secret decimal point to the right of itself.

\(\frac{3}{18}\)

\(\frac{3}{18} =3\div18\)

\(3\div18=0.16666666666\)

= 0.16666666666  or 0.16 repeating

Hope this helps.

The meters of tape left in the roll will be equal to 1/5 meters.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the information given in the question,

The total length of Tape = 5 m

Total number of pieces = 6

Length of each piece = 4/5 m

Then, the total length of the pieces will be,

6 × 4/5

= 24/5

Then, the amount of tape left in the roll will be,

= 5 - 24/5

= (25 - 24)/5

= 1/5

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The probability that it will not rain tomorrow is 56%, and the geometric models that represent the probability that it will rain tomorrow are:

Probabilities are used to determine the chances of events

The given probability is:

\(p= 44\%\) -- the probability that it will rain tomorrow

The probability that it will not rain tomorrow is calculated using the following complement rule

\(q= 1 -p\)

This gives

\(q= 1 -44\%\)

\(q= 56\%\)

This means that:

The probability that it will not rain tomorrow is 56%

Also, options (c) and (e) represent the geometric models that it will rain tomorrow

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Answer:

a. $849.45

Step-by-step explanation:

In the above question, we are given the following information

Coupon rate = 10%

Face value = 1000

Maturity = n = 20 years

t = number of periods = compounded semi annually = 2

Percent yield = 12% = 0.12

Bond Value formula =

C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)

C = coupon rate × face value = 10% × 1000 = 100

Bond value:

= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2

= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40

= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)

= 50 × 15.046296872 + 97.222187709

= $849.45

Bond value = $849.45

In descending order in terms of y, the expression is -x³y⁵ - 2x²y³ + 4xy + x⁴.

When a pattern of numbers in mathematics has a decreasing value, the numbers are said to be in descending order. It indicates that the numbers are sorted from highest to lowest. Information is considered to be in descending order if it is arranged from highest to lowest. For example 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 are ordered in descending order. In other terms, it is considered to be in descending order if the numbers are listed from greatest to smallest.

The given expression is:

x⁴- x³y⁵+ 4xy - 2x²y³

To arrange in descending order, place the highest value first followed by the smaller value.

Therefore, in decreasing order in terms of y, the expression is -x³y⁵ - 2x²y³ + 4xy + x⁴.

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Answer:

Factor using the perfect square rule.

( 5 x  +  2 ) ^2

Step-by-step explanation:

I hope this helps! Have a nice day!

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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The present value of the investment in the fund is $2,455.32.

In order to calculate the present value of the investment in a fund, which is expected to generate $3,000 per year for the next 5 years with an interest rate of 4% per year compounded continuously,

we can use the formula for the present value of an annuity:

PV = A / r,

where PV is the present value, A is the annuity payment, and r is the interest rate.

However, since the interest rate is compounded continuously, we need to use the formula PV = A / e^(rt),

where e is the constant 2.71828, t is the time period in years, and r is the interest rate.

In this case, A = $3,000, r = 4%, and t = 5 years.

Therefore, the present value of the investment is:

PV = $3,000 / e^(0.04 x 5)

= $3,000 / e^(0.2)

= $3,000 / 1.2214

= $2,455.32 (rounded to the nearest cent).

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Answer:

2sqr3, the first option

Step-by-step explanation:

a) In April, the number of students who had not passed their driving test decreased by 5%.

b) The equation is 1.2x + 0.95(1000 - x) = 1000.

c) 200 students passed their driving test in January.

a) At the beginning, of January, x students had passed their driving test, then the remaining number of students who had not passed their driving test was (1000 - x).

In April, the number of students who had not passed their driving test decreased by 5%, which means the remaining number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

b)

The number of students who had passed their driving test increased by 20%, which means the new number of students who passed their driving test is 1.2 times the original number (x).

The number of students who had not passed their driving test decreased by 5%, which means the new number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

Therefore, we can write the equation 1.2x + 0.95(1000 - x) = 1000.

c) We can solve for x in the equation 1.2x + 0.95(1000 - x) = 1000.

Expanding the equation, we get:

1.2x + 950 - 0.95x = 1000

0.25x = 50

x = 200

Therefore, 200 students passed their driving test in January.

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Answer:

X = 16 cm

Step-by-step explanation:

Pythagoras law is :

20^2 = X^2 + 12^2

400 = X^2 +144

400 - 144 = x^2

256 = x^2

x = ( 256 ) ^1/2

X=16

The answer is No.

14+4=18

18+5=23

23+6=29.

As you can see there is no consistency or linear function between these, unlike the x side which increases by the same number(1).

Answer:

B. 60°

Step-by-step explanation:

minor arc KM = 2×30° = 60°

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer: 26129.6

Step-by-step explanation:

6721 x 381 = 2560701

14 + 84 = 98

2560701  / 98 = 26129.6

Answer:

Correct answer is {6,10,12,14}

Step-by-step explanation:

Answer:

Let's start by using algebra to solve for the original amount that Alex paid for his shares.

Let X be the original amount that Alex paid for his shares.

We know that his shares dropped in value by 35%, so after the drop, he had 65% of his original investment left:

0.65X = $72,800

Solving for X:

X = $72,800 / 0.65

X = $112,000

Therefore, Alex paid $112,000 for his shares to begin with.

Question Correction

The functions are \(f(x) = 3x^2, g(x)=\frac{1}{3x},$ and h(x) = 3x.\)

Answer:

(D)The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

(E)The domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.

Step-by-step explanation:

Definition: Given a function f(x):

In g(x), there is no value of x that will make g(x)=0. Therefore, the range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

In g(x), when x=0

\(g(x)=\frac{1}{3(0)}=\frac{1}{0}\)

Therefore,g(x)  is undefined at x=0.

However, at x=0, f(x)=0 and h(x)=0 which are defined.

Therefore, the domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.

ANSWER

(D)The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

(E)The domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.

Step-by-step explanation:

2021 EDGE

A reasonable prediction for the number of times the event of landing on an even number will occur in 550 rolls is 275.

When rolling a fair 6-sided die, there are three even numbers (2, 4, and 6) and three odd numbers (1, 3, and 5). Therefore, the probability of rolling an even number is 3/6 or 1/2.

To predict the number of times the event of landing on an even number will occur in 550 rolls, we can multiply the probability of rolling an even number by the total number of rolls:

Expected number of even rolls = Probability of rolling an even number x Total number of rolls

Expected number of even rolls = (1/2) x 550

Expected number of even rolls = 275

Therefore, a reasonable prediction for the number of times the event of landing on an even number will occur in 550 rolls is 275.

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Answer:

2

Step-by-step explanation:

There are 2 angles measurements do you need to figure out the measurements of all the labeled angles in the figure.

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

There are 4 angles is shown in figure.

Now, If we know the value of angle 1 then by vertically opposite angle the value of angle 3 is same as angle 1.

And, If we know the value of angle 2 then by vertically opposite angle the value of angle 4 is same as angle 2.

Thus, There are 2 angles measurements do you need to figure out the measurements of all the labeled angles in the figure.

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Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

2nd option

Step-by-step explanation:

The shaded area = outside area - inner area

                           = x² - (x - 6)² ← expand using FOIL

                         = x² - (x² - 12x + 36) ← distribute parenthesis by - 1

                        = x² - x² + 12x - 36 ← collect like terms

                        = 12x - 36

Answer: 5

Suppose we want to find how many of the even integers from 2 to 2000 are divisible by m. It is convenient to divide into two cases: (i) m even and (ii) m odd.

(i) If m is even, say m=2n, we want to find the number of integers from 1 to 1000 that are divisible by n. You know how to do that.

(ii) Now let m be odd. Then m divides 2k if and only if m divides k. So we want to find the number of integers between 1 and 1000 that are divisible by m. Again, you know how to do that.

Step-by-step explanation:

Hope this helps :D