f(x) = 5x^3 – 4x - 12

Step-by-step explanation:

11) x^5

12) 5x^2

13) x+21

14) 2x-8

15) 3^3

=3*3*3

=27

16)2^5

=2*2*2*2*2

=32

17) 5^4

=5*5*5*5

=625

18)2 times a number p squared

19)3 times a number m fifth power

20)the addition of half a number and 2

hmmm let's find hmmm say angle who knows, ∡C, using the law of cosines.

\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{18^2+14^2-12^2}{2(18)(14)}\right)=\measuredangle C \implies \cos^{-1}\left(\cfrac{ 376 }{ 504 }\right)=\measuredangle C \\\\\\ \cos^{-1}\left(\cfrac{ 47 }{ 63 }\right)=\measuredangle C\implies \cos^{-1}(0.7460317) \approx \measuredangle C \implies 41.75^o \approx \measuredangle C\)

well then, let's now us the law of sines to get hmm say ∡A

\(\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin( A )}{18}\approx\cfrac{\sin( 41.75^o )}{12}\implies 12\sin(A)\approx18\sin(41.75^o) \implies \sin(A)\approx\cfrac{18\sin(41.75^o)}{12} \\\\\\ A\approx\sin^{-1}\left( ~~ \cfrac{18\sin( 41.75^o)}{12} ~~\right)\implies A\approx 87.22^o\)

well, if we subtract ∡C and ∡A from the triangle's interior angle sum, we'll get that ∡B ≈ 51.03°.

Answer:

The x in the middle was ignored.

Step-by-step explanation:

(x^6)(x)(x^3)

(x·x·x·x·x·x)(x)(x·x·x)=x^10

Answer:

11m

Step-by-step explanation:

Simplify

9m+3m−m

=9m+3m+−m

Combine Like Terms:

=9m+3m+−m

=(9m+3m+−m)

=11m

Answer:

=11m

Answer:

11m

Step-by-step explanation:

9m + 3m - m = ?

just look at it without the variables: m

9 + 3 - 1 = ?

The reason there is a 1 before the m is because there is always atleast a 1 before a variable. 1 x m = m, but 0 x m = 0. so '1'.

ok so now lets solve

9 + 3 - 1

 12 - 1

    11

so the answer is 11, add the variables back

9m + 3m - m

    12m - m

        11m

Answer:

A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. (It's the number that's with the variable)

Step-by-step explanation:

4x-7=5

Coefficient: 4

Answer: The correct answer for this question is $6.55

Step-by-step explanation:

Hope this helps

Answer:

28.75

Step-by-step explanation:

Answer:271.66$

Step-by-step explanation:

Answer:

D on edulastic 2020

Step-by-step explanation:

Answer:

7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0

Step-by-step explanation:

So, the solutions to the given rational equation are x = 9/2 or x = -1/2.

To solve the rational equation:

(x/(2x + 1)) - (1/4) = 2/(2x + 1)

First, let's find a common denominator for the fractions on the left side. The common denominator is 4(2x + 1):

[(x * 4) - (1 * (2x + 1))] / (4(2x + 1)) = 2 / (2x + 1)

Simplifying the numerator:

(4x - (2x + 1)) / (4(2x + 1)) = 2 / (2x + 1)

Combining like terms:

(4x - 2x - 1) / (4(2x + 1)) = 2 / (2x + 1)

(2x - 1) / (4(2x + 1)) = 2 / (2x + 1)

Now, we can cross-multiply:

(2x - 1) * (2x + 1) = 2 * (4(2x + 1))

Expanding and simplifying both sides:

\((4x^2 - 1) = 8(2x + 1)\\4x^2 - 1 = 16x + 8\)

Rearranging the equation to set it equal to zero:

\(4x^2 - 16x - 9 = 0\)

Now, we can solve this quadratic equation. Using factoring, completing the square, or the quadratic formula, we find that the solutions are:

x = (-(-16) ± √((-16)² - 4 * 4 * (-9))) / (2 * 4)

x = (16 ± √(256 + 144)) / 8

x = (16 ± √400) / 8

x = (16 ± 20) / 8

x = 36/8 or -4/8

Simplifying the fractions:

x = 9/2 or -1/2

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Answer:

a ≤ 9

Step-by-step explanation:

Closed circle means ≤ or ≥

Shading to the left means left direction < or ≤

The inequality sign that has both is: ≤

a ≤ 9

Answer:

The answer is C

Step-by-step explanation:

I took the test and I got it right

7

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The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

didn't really get it but I think it's 2.38 m/s

Answer:

The speed at the first quarter checkpoint is

✔ 1.10 m/s.

The speed at the second quarter checkpoint is

✔ 1.93 m/s.

The speed at the third quarter checkpoint is

✔ 2.38 m/s.

The speed at the finish line is

✔ 2.82 m/s.

The likelihood ratio test for testing the null hypothesis H0: λ = λ0 versus the alternative hypothesis H1: λ ≠ λ0, where y1, ..., yn is a random sample from a Poisson distribution with parameter λ, is given by:

-2log(LR) = -2(log(L(λ0)) - log(L(λ_hat))),

where L(λ) is the likelihood function for the Poisson distribution and λ_hat is the maximum likelihood estimate of λ.

Explanation and calculation:

The likelihood function for the Poisson distribution is given by:

L(λ) = (e^(-nλ) * λ^(y1 + ... + yn)) / (y1! * ... * yn!),

where n is the sample size and yi, for i = 1 to n, are the observed values.

To calculate the likelihood ratio test statistic, we need to find the maximum likelihood estimate of λ, denoted by λ_hat. The maximum likelihood estimate is obtained by maximizing the likelihood function with respect to λ. In the case of the Poisson distribution, λ_hat is simply the sample mean:

λ_hat = (y1 + ... + yn) / n.

Substituting λ0 and λ_hat into the likelihood ratio test statistic, we have:

-2log(LR) = -2(log(L(λ0)) - log(L(λ_hat)))

          = -2((y1 + ... + yn) * log(λ0) - nλ_hat - nlog(λ_hat) + log(y1!) + ... + log(yn!)).

The likelihood ratio test statistic for testing H0: λ = λ0 versus H1: λ ≠ λ0, based on a random sample from a Poisson distribution with parameter λ, is -2log(LR) = -2((y1 + ... + yn) * log(λ0) - nλ_hat - nlog(λ_hat) + log(y1!) + ... + log(yn!)). This test statistic follows a chi-squared distribution with 1 degree of freedom under the null hypothesis. By comparing the test statistic to the critical value of the chi-squared distribution, we can make a decision to accept or reject the null hypothesis at a chosen significance level.

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The height of the rectangular prism is 13.7 feet.

The volume of a rectangular prism is 665.2 Ft³.

If the base of the prism is 9' x 5.2', find the height of the prism.

A rectangular prism is a 3D figure that has six faces.

It has three sets of parallel faces and every opposite face is congruent.

Its base could be a square or rectangle.

To find the volume of a rectangular prism, we multiply its length, width, and height together.

So, the formula for the volume of a rectangular prism is given by; V = l × w × h

Given, the base of the prism is 9’ × 5.2’

Let's plug in the given values into the formula to determine the height of the prism.665.2 = (9 × 5.2 × h)

Therefore, the height of the prism is given by:h = 665.2 ÷ 48.6h = 13.7 ft (rounded to the nearest tenth of a foot)

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Answer:

13,000

_____

4%

I'm sorry if this is incorrect

Answer:

1) area is 123645 sq. m

2) 123645* 200 = AED 24,729,000

3) Perimeter = 1536 m

Cost of fencing = 1536 * 12.50 =

AED 19,200

After solving the equation, the smaller piece length of the rope will be 30 meters.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the data provided in the given question,

3x+20+x = 140

4x+20 = 140

4x = 120

x = 30 meters

The smaller piece of the rope is of 30 meters.

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Answer:

y =  -5/6x - 7

Step-by-step explanation:

The runner's average speed between `t = 1` second and `t = 3` seconds is `8 feet/second.`

Given, the runner's position in feet is given by `s(t) = 10 + 2t²`.

The average speed is given by the formula:

Average speed = `(distance traveled) / (time taken)`

The distance traveled by the runner is equal to the displacement (change in position) between `t = 1` second and `t = 3` seconds.

The displacement between `t = 1` second and `t = 3` seconds is given by the difference between their positions:

Displacement = `s(3) - s(1)`

Putting `t = 3` in the given equation, we get:

s(3) = 10 + 2(3)² = 28Feet

Putting `t = 1` in the given equation, we get:s(1) = 10 + 2(1)² = 12Feet

Therefore, the displacement between `t = 1` second and `t = 3` seconds is:

Displacement = `s(3) - s(1)`

= 28 - 12

= 16 Feet

The time taken is

`t = 3 - 1

= 2` seconds

Therefore, the average speed is given by:

Average speed = `distance/time`

= `16 / 2`

= 8 feet/second

Hence, the runner's average speed between `t = 1` second and `t = 3` seconds is `8 feet/second.`

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Answer:

444.943

Step-by-step explanation:

Subtract 52.12 from 497.063, and you get 444.943.

I think the answers here:-

dp201111.pdf

The probability that fewer than 3 women will deliver prematurely is 1/20.

So, 10% of 20:

Therefore, the probability that fewer than 3 women will deliver prematurely is 1/20.

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The correct question is given below:

A large national study finds that 10% of pregnant women deliver prematurely. a local obstetrician is seeing 20 pregnant women in the next week at their clinic. what is the probability that fewer than 3 of them will deliver prematurely?

Answer:

10.15

Step-by-step explanation:

47.5-37.35=10.15

Let Asia's and Rani's age be "x"

Since Asia is 10 years bigger Asia will be "x+10"

Asia's Age + Rani's Age = 200

x + x + 10 = 200

2x + 10 = 200

2x = 200 - 10

2x = 190

x = 190

     -----

       2

x = 95

Asia = x + 10

          95 + 10

          105

Rani's age is 95 and Asia's Age is 105

Answer: six amount of 0.15 and 7 amount of 0.35

Step-by-step explanation:

I am pretty sure this is correct, i am trying my best

To find a numerical approximation for P(W - E[W] < 0.01), where W = X1 + ... + X20 - (Y1 + ... + Y20) and Xi, Yi are independent random variables uniformly distributed in the unit interval [0, 1], we can use simulation methods such as Monte Carlo simulation.

Monte Carlo simulation involves generating a large number of random samples and using these samples to estimate probabilities. In this case, we can simulate the random variables Xi and Yi, calculate W for each simulation, and count the number of times W - E[W] is less than 0.01. Dividing this count by the total number of simulations gives us an approximation for P(W - E[W] < 0.01).

To perform the simulation, we generate 20 random numbers from a uniform distribution for each Xi and Yi, calculate W for each simulation by summing the Xi values and subtracting the Yi values, and then compare W - E[W] to 0.01. By repeating this process a large number of times (e.g., 10,000 simulations), we can estimate the probability.

By running the Monte Carlo simulation and calculating the ratio of simulations where W - E[W] < 0.01 to the total number of simulations, we obtain a numerical approximation for P(W - E[W] < 0.01).

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