Which set of words describes the end behavior of the function f(x)=−2x(3x^2+5)(4x−3)?
Select the correct answer below:
o rising as x approaches negative and positive infinity
o falling as x approaches negative and positive infinity
o rising as x approaches negative infinity and falling as x approaches positive infinity
o falling as x approaches negative infinity and rising as x approaches positive infinity

Ennis can make 4 different triangular borders using the given lengths of wood.

To determine how many different triangular borders Ennis can make, we need to apply the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

Let's consider each possible combination of three sides from the four given lengths of wood:

8 inches, 10 inches, 12 inches: forms a valid triangle

8 inches, 10 inches, 18 inches: forms a valid triangle

8 inches, 12 inches, 18 inches: forms a valid triangle

10 inches, 12 inches, 18 inches: forms a valid triangle

Therefore, Ennis can make 4 different triangular borders using the given lengths of wood.

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Answer:

so the plants will grow more

Answer:

Multiply the different species in large number. Protect the plant species which are endangered. Improve the characteristics and quality of the plants. Produce quality and healthy plants on commercial base.

hope helpful <3

They have the same x-intercept but different end behavior as

Answer:A.

They have the same x-intercept but different end behavior as x approaches ∞.

Step-by-step explanation:

Answer:

the multiplacative inverse of ⅔ is 3/2 because when we multiply them both it returns 1

2/3 x 3/2 = 1

(Hey, angles rock!)

Answer:

45 + 60 = 105

Step-by-step explanation:

ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.

45 + 60 = 105

There are 36 cards in the box.  In this scenario, we are given that the probability of choosing a red card from a box is one-third. We also know that there are 24 blue cards in the box. Our goal is to find the total number of cards in the box.

Let's use the concept of probability to solve this problem. The probability of an event is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the probability of choosing a red card is given as 1/3, and the favorable outcome is selecting a red card. Let R be the number of red cards, and T be the total number of cards in the box. The probability formula can be represented as:

Probability of choosing a red card = R / T

We are given that the probability of choosing a red card is 1/3:

1/3 = R / T

Since there are 24 blue cards in the box, we can represent the total number of cards as the sum of red and blue cards:

T = R + 24

Now, we can solve the system of equations to find the values of R and T:

1. 1/3 = R / T
2. T = R + 24

From equation 1, we can express R as:

R = (1/3) * T

Substitute this expression for R in equation 2:

T = (1/3) * T + 24

Multiplying both sides by 3 to eliminate the fraction, we get:

3T = T + 72

Subtracting T from both sides:

2T = 72

Now, divide by 2 to find the total number of cards, T:

T = 36

So, there are 36 cards in the box.

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Answer:

525

Step-by-step explanation:

So its 25 a day and hes doing it for 21 days because 7*3=21.

so 25*21= 525

The running rate is 5 miles per hour.Let's denote the running rate as "r" and the driving rate as "9r" (since the driving rate is nine times the running rate).

To find the running rate, we need to determine the time spent driving and running separately and then add them together to equal 3 hours.

The time spent running can be calculated as the distance divided by the running rate:

Time running = Distance / Running rate = 5 / r

The time spent driving can be calculated similarly:

Time driving = Distance / Driving rate = 90 / (9r) = 10 / r

The total time spent driving and running is given as 3 hours:

Time running + Time driving = 3

5 / r + 10 / r = 3

To solve this equation, we can combine the fractions on the left side:

(5 + 10) / r = 3

15 / r = 3

Next, we can cross-multiply to isolate the variable:

15 = 3r

Dividing both sides by 3, we find:

r = 5

Therefore, the running rate is 5 miles per hour.

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Answer:

15√3

Step-by-step explanation:

This is a 30-60-90 triangle, so in order to solve for v, we can multiply the short leg by √3, which we will get 15√3.

Answer:

v = 25.98

Step-by-step explanation:

You could do this a number of ways. Some are much longer than others. The shortest way is to use the tangent.

Formula

Tan(theta) = opposite / adjacent

Givens

Theta = 30o

Opposite = 15 km

Adjacent = x

Solution

tan(30) = 15 / v                       Multiply both sides by v

v*tan(30) = 15                         Divide by tan(30)

v = 15/tan(30)

tan(30) = 0.5774

v = 15 / 0.5774

v = 25.98

Answer:

There are 102 marbles in the jar

Step-by-step explanation:

16+18 = 34

34 = 1/3

3×34 = total marbles

3×34 = 102

Answer: equal to

Step-by-step explanation:

If c is zero and b+c=a then b would equal a

Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

Answer:

-0.32

-32/100

-8/25

Step-by-step explanation:

-8/25

The possible sources of inaccuracy that could have an impact on your results are -

While conducting a scientific experiment, numerous errors—either systematic or random—could happen.

Thus, more measuring is done when the bias is smaller and more measuring is done when the uncertainty is smaller.

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Answer:

156 bundles

Step-by-step explanation:

Total area of the roof = 2(70 x 30) = 4200 sf  

(4200 sf) / (27sf/bundle) = 155.56 ≈ 156 bundles

Answer:

810000

Step-by-step explanation:

2 sf means:

810 664.21

so rounding between 81 and 82 , clearly shows that the number will round off to the 81....

thanks

Answer:

3mi/hr , 3 miles per hour or 3mph

Step-by-step explanation:

so you want to find how manu milesin an hour.

first you need to gind how many miles in jsut 1/8 of the hour

so what we have is for 3/8 of an hour so divide what we have by 3

9/8 divided by 3 = 3/8 of a mile in 1/8 of an hour.

multiple this by 8 to get what equals in 1 hr

3/8*8 = 24/8 simplified to 3.

3 miles per hour

Answer:

8

Step-by-step explanation:

The probability of rolling a number greater than 6 is 1/4, or 0.25 as a decimal, or 25% as a percentage.

The die has 8 equally likely possible outcomes, which are the numbers 1 through 8. The probability of rolling a number greater than 6 is the same as the probability of rolling a 7 or 8.

Since each of these two outcomes is equally likely, the probability of rolling a number greater than 6 is:

P(rolling a number greater than 6) = P(rolling a 7) + P(rolling an 8)

The probability of rolling a 7 is 1/8, and the probability of rolling an 8 is also 1/8. Therefore:

P(rolling a number greater than 6) = 1/8 + 1/8 = 2/8 = 1/4

So the probability of rolling a number greater than 6 is 1/4, or 0.25 as a decimal, or 25% as a percentage.

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The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Period of f(t) is T = 2 because f(t+2)=f(t)  for all t. We have to draw the graph of f(t) for 0 ≤ t < 2 and repeat the graph periodically with a period of 2.

Here is the sketch of the graph of f(t) for 0 ≤ t < 6.
b) To calculate the Fourier coefficient a0 of f(t), we use the formula:
a0 = (1/T) ∫T/2 −T/2 f(t) dt
For f(t), we have T=2, so the above formula becomes:
a0 = (1/2) ∫1 0 t2 − 2 dt
a0 = (1/2) [ t3/3 − 2t ]1 0
a0 = (1/2) [ (1/3) − 0 − (2/2) ] = -1/3
Therefore, the Fourier coefficient a0 of f(t) is -1/3.
c) To find the Fourier coefficients an and bn of f(t), we use the formulas:
an = (2/T) ∫T/2 −T/2 f(t) cos(nω0t) dt
bn = (2/T) ∫T/2 −T/2 f(t) sin(nω0t) dt
where ω0 = 2π/T = π.
For f(t), we have T=2, so the above formulas become:
an = (2/2) ∫1 0 t2 − 2 cos(nπt) dt
an = ∫1 0 t2 cos(nπt) dt − 2 ∫1 0 cos(nπt) dt
an = [ t2 (1/nπ) sin(nπt) ]1 0 − 2 [ (1/nπ) sin(nπt) ]1 0
an = 0 − 0 − 2 [(1/nπ) sin(nπ) − (1/nπ) sin(0)]
an = -2/nπ (1 − (−1)n)
bn = (2/2) ∫1 0 t2 sin(nπt) dt
bn = [ −t2 (1/nπ) cos(nπt) ]1 0 + 2/nπ ∫1 0 t cos(nπt) dt
bn = 0 − 0 + 2/nπ [(1/nπ) cos(nπt) ]1 0 − 2/nπ ∫1 0 cos(nπt) dt
bn = 2/n2π2 (cos(nπ) − 1)
bn = 0 if n is even, and bn = −4/(nπ) if n is odd.
d) The Fourier Series of f(t), up to and including the third harmonic is given by:
f(t) = a0/2 + ∑∞n=1 an cos(nω0t) + ∑∞n=1 bn sin(nω0t)
f(t) = -1/6 + ∑∞n=1 -2/(nπ) (1 − (−1)n) cos(nπt) + ∑∞n=1 −4/(nπ) sin((2n−1)πt)

Answer: (a) Sketch of the graph of f(t) for 0 ≤ t < 6 is as follows.

(b) Fourier coefficient a0 of f(t) is -1/3.

(c) Fourier coefficients an and bn of f(t) are as follows:

an = -2/nπ (1 − (−1)n)bn = 0 if n is even, and bn = −4/(nπ) if n is odd.

(d) Fourier Series of f(t), up to and including the third harmonic is:

f(t) = -1/6 -2/π cos(πt) -4/(3π) sin(πt) + 2/π cos(2πt) + 0 sin(3πt) - 4/(5π) sin(5πt)

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You arrange 5 letters in 7893600 ways

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

Letters to use = 5

Total available letters = 26

The letters are distinct

This means that the letters cannot be repeated

So, we have

First = 26, Second = 25 ....... Fifth = 22

Using the above as a guide, we have the following:

Ways = 26 * 25 * 24 * 23 * 22

Evaluate

Ways = 7893600

Hence, the arrangement is 7893600

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Answer:

.06

Step-by-step explanation:

.9 is the tenths, .06 is the hundredths, .005 is the thousandths, .0002 is the ten thousandths.

Answer:

6

Step-by-step explanation:

The hundreths place is the second spot behind the decimal point, so it would be 6.

It will take all three pumps, Working together, 1.56 minutes to fill the pool.

The given information, we can write three equations as follows:

1) (1/A + 1/B)*35 = C  ---(Equation 1)

2) (1/B + 1/C)*40 = C  ---(Equation 2)

3) (1/A + 1/C)*56 = C  ---(Equation 3)

We want  how many minutes it will take all three pumps, working together, to fill the pool, so let's represent the time taken by all three pumps working together as "t".

When all three pumps work together, they can fill the pool in one minute, so their combined rate is 1/C.

Using the rate formula, we can write the following equation:

1/A + 1/B + 1/C = 1/t   ---(Equation 4)

We have four unknowns (A, B, C, and t), so we need to solve for one of them to get the answer. Let's solve for "t".

First, we can simplify Equations 1, 2, and 3 as follows:

1) 1/A + 1/B = C/35

2) 1/B + 1/C = C/40

3) 1/A + 1/C = C/56

Next, we can substitute these equations into Equation 4 to get:

(C/35) + (C/40) + (C/56) = 1/t

Now, we can simplify and solve for "t":

LCD = 39200

1120C + 980C + 700C = 39200

2800C = 39200

C = 14

Substituting this value of "C" into any of the simplified equations, we can solve for "A" and "B". Let's use Equation 1:

1/A + 1/B = 14/35

5(A+B) = 98

A+B = 19.6

Now we can use A+B+C = 1/t to solve for "t":

t = 1 / (A+B+C) = 1 / (19.6 + 14) = 0.026 hours = 1.56 minutes

Therefore, it will take all three pumps, working together, 1.56 minutes to fill the pool.

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Answer:

10,2,5

Step-by-step explanation:

If Greg is at work for 10 hours a week, he spends 30 hours traveling to work.

Explanation

No of hours he works in a week = 10

No of hours he spends on travelling = 3 * no of hours he works in a week

=10 x 3 =

30 hours

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious.

The repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

In addition to addition, subtraction, and division, multiplication is a mathematical operation. The four fundamental arithmetic operations are taught to students in their primary classes.

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Answer:

I feel like all of them are wrong, but C. is the one that's closes to being right.

Step-by-step explanation:

As you see, C is the closest to the answer.

x=1 y=2 z=3

So...

1+2=3

2-3=1

^

Is that right?

No, but that one is the only error, the other equations also have errors.

So if there's a button that says none of the above, pick that.

Hope this helped! :)

Answer:

.

Step-by-step explanation: