The approximation of 1 = Lo cos (x2 + 5) dx using simple Simpson's rule is: -0.93669 -0.65314 N This option This option -1.57923 0.54869

Answer:

a) Ox<0.5 wjsjdhdjdjdj

Answer:

a.)x < 0.5

Step-by-step explanation:

2(1 - x) > 2x

2 - 2x > 2x

   +2x    +2x

   2 > 4x

  /4    /4

0.5 > x

Answer:

184

Step-by-step explanation:

First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.

Answer:

The total distance around the running track is 194.3 m

Step-by-step explanation:

Here, we are interested in calculating the distance around the running track.

We have two semi-circles of diameter 30m and two parallel straight lines of length 50m

Firstly let’s add the parallel straight lines, we have 50 + 50 = 100 m

Now these two semicircles when joined together gives a full circle. And since they are of same diameter, by calculating the circumference of the full circle, we can have the length around the two bends

Mathematically, that would be; πd

The circumference is thus; 22/7 * 30 = 94.29 m

Thus, the length of the running track will be 100 + 94.3m = 194.3m

Answer:

Step-by-step explanation:

this graph does not pass the vertical line test as it has many y values for the on x value. the answer is no, it is not a function

Answer:

3r57i99097654322 that is the answer

Answer:

C

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation: took it on times4learning math assignment

Answer:

160 chemistry books and 80 history books

Step-by-step explanation:

C=chemistry books sold, H=history books sold

C=2H

C+H=240, 3H=240, H=80, C=160

Answer:

180 tablespoons

Step-by-step explanation:

240×.25=60

240-60=180

Answer:

180

Step-by-step explanation:

By using the property of congruency of triangles,

\(\angle\)PSR = \(\angle\)PSQ has been proved

What is congruency of triangles?

Two triangles are said to be congruent if the corrosponding angles are equal and the corrosponding sides are equal.

There are different axioms of congruency. They are

SSS axiom, SAS axiom, AAS axiom, ASA axiom, RHS axiom

PS bisects \(\angle\)QPR [Given]

PQ \(\cong\) PR [Given]

\(\angle\)QPS \(\cong \angle\)RPS [PS bisects  \(\angle\)QPR]

PS \(\cong\) PS [Reflexive property of congruence]

\(\Delta\) PQS \(\cong \Delta\) PRS [SAS axiom]

\(\angle\)PSR = \(\angle\)PSQ [Corrosponding parts of congruent triangles are congruent]

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Answer:

1.60+0.75x=8.35

x=9

Step-by-step explanation:

1.60+0.75x=8.35 will be the equation to determine the number of miles x.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

Pickup charge (fixed charge) = $4.60

Charge per mile = $0.75 /mile

Total charge = $8.35

So,

Total charge = pick up charge + Charge per mile × number of mile(x)

8.3.5 = 1.60 + 0.75x

1.60+0.75x=8.35

Hence "1.60+0.75x=8.35 will be the equation to determine the number of miles x".

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Answer:

[-1.8,0.03]

Step-by-step explanation:

This is how you use interval notation, square brackets means including the numbers, circular brackets means not including

Answer:

(-1.3,1.8]

Step-by-step explanation:

The inequality −1.3<x≤1.8 means "all numbers between −1.3 and 1.8." In interval notation, we express this as (−1.3,1.8]. Notice that we use a parenthesis to show that the number −1.3 is not included and a bracket to show that the number 1.8 is included.

One possible square root of 340 modulo 437 is 281.

To find a square root of a number modulo another number, we can use the Tonelli-Shanks algorithm. First, we check that 340 is a quadratic residue modulo 437 by calculating 340^((437-1)/2) mod 437, which gives 1. Then we can choose a starting value for the square root, such as 281, and use the Tonelli-Shanks algorithm to iteratively improve our estimate. After a few iterations, we should arrive at a more precise square root. Note that there may be multiple square roots, and this is just one example.

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The average value of the function on the closed interval 1≤x≤3 is approximately 0.281.

1. Determine the length of the closed interval. The interval is from x=1 to x=3, so the length is (3-1) = 2.

2. Integrate the function over the closed interval. To do this, you need to find the integral of sin(2x)cos(x) with respect to x from 1 to 3:
∫[1,3] sin(2x)cos(x) dx

3. Divide the result of the integration by the length of the closed interval to find the average value:
(1/2) * ∫[1,3] sin(2x)cos(x) dx

Now, let's calculate the integral:

∫ sin(2x)cos(x) dx = (1/4) * sin^2(x) + C (using integration by parts)

Now, we evaluate the definite integral from 1 to 3:

[(1/4) * sin^2(3)] - [(1/4) * sin^2(1)]

Finally, divide the result by 2 to find the average value:

(1/2) * {[(1/4) * sin^2(3)] - [(1/4) * sin^2(1)]}

After calculating the values, the average value of the function on the closed interval 1≤x≤3 is approximately 0.281.

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How to add two positive integers:

You add the numbers like you normally would. There's no trick even though it seems like a trick question.

Example: 3+5 = 8

In that example, you can think of like starting at 3 on the number line. Then you move 5 units to the right to arrive at 8 on the number line.

-----------------------------------------------------

How to add two negative integers:

Treat the negative numbers as their positive version of themselves. Next, you add those positive counterparts like normal. The last thing you do is make the result negative.

For example,

-9 + (-12) = -21

which we can think of like this

9+12 = 21

Then we just make everything negative to get that first equation mentioned.

-----------------------------------------------------

How to add positive and negative integers:

This will depend on which has larger absolute value. In other words, which is further away from 0 on the number line.

In any event, you basically subtract the positive version of each number. Then the one furthest from 0 will determine if the result is positive or negative.

Examples:

-8 + 9 = 1

7 + (-12) = -5

In the first example, we can think of it like 9-8 = 1. I'm subtracting the two numbers 8 and 9, but doing so large - small and only focusing on the positive versions so far. Because 9 is further away from 0 compared to -8, this ultimately means the result is positive (since 9 is positive).

In the second example, we would say 12-7 = 5. Then note how -12 is farther away from 0 compared to 7. This means the negative side wins, so to speak, and the final result is negative.

Answer:

36.25 = 8.75*x

36.25/8.75 = x

x = 4.1428571429 feet in length

Answer:

$144

Step-by-step explanation:

Length*Width*Price

12*3 = 36

36*4 = 144

$144

given that:

Solve for x:

The standard deviation is approximately 16.67 yards.

The standard deviation is a measurement of how much a group of values are spread over an area. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the average value) of the collection.

Standard deviation is calculated from the z-score by using the formula

\(z=\frac{x-\mu}{\rho} \\\) where ,

z is the z-score , x is the data value at that z-score , μ denotes the mean of the data set and σ is the standard deviation.

Given the mean is 276 yards , the data value at the 80th percentile is 290 . By using the z-score tables we find the z-score value to be 0.84 .

Therefore using the above formula we can find the standard deviation.

\(0.84=\frac{290-276}{\rho} \\\\or, \rho=\frac{290-276}{0.84}\\\\or,\rho=16.66...\\\\or,\rho\approx16.67\)

Hence the standard deviation is approximately 16.67 yards.

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Answer:

y=negative two fifths x plus 4

Step-by-step explanation:

DNA tbh ishrb jd ge kem is j.g cr. ks i.v rgjs gusnrie84b isbsuosb sojdl

Answer:

its A

Step-by-step explanation:

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pls and ty

<3 anmol

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma(\(\alpha ,\beta\))

E(X)= \(\alpha \beta\)                 \(\beta\)= \(12^{2}/24\)=6 weeks

V(x)= \(\alpha \beta ^{2}\)                \(\alpha\)=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, \(\alpha\), \(\beta\), False)

P(\(12\leq X\leq 24\))

P(\(12/6\leq G\leq 24/6\))

P(\(2\leq G\leq 4\))

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

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Answer:

Step-by-step explanation:

0.424 is the probability that the transistor will last between 12 and 24 weeks.

X= lifetime of the transistor in weeks E(X)= 24 weeks

Standard deviation= 12 weeks

Finding the parameters alpha and beta X~gamma(αβ)

E(X)= αβ             β =6 weeks

V(x)=αβ^2           α =24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X,α,β,False)

P(12≤X≤24)

P(12/6≤G≤24/6)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

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By combinations, there are 210 10 bit strings which contains exactly 4 ones.

To find out how many 10-bit strings there are that contain exactly 4 ones, we can use the binomial coefficient formula.

The binomial coefficient formula is given by `C(n, k) = n! / (k! * (n-k)!)`,

where,

n is the total number of items, and k is the number of items

we want to choose from n. In this case, we want to choose 4 ones from 10 bits, so n = 10 and k = 4. Therefore, the number of 10-bit strings that contain exactly 4 ones is:

`C(10, 4) = 10! / (4! * (10-4)!) = 210`.

Hence, there are 210 10-bit strings that contain exactly 4 ones.

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Here the mixture (or solution) contains alcohol and water.

Given that you have 85% alcohol mixture. It means that each 1 mL of the mixture will contain 0.85 mL of alcohol, and the remaining 0.15 mL of pure water.

So the amount of alcohol in 120 mL of mixture is calculated as,

When 'x' mL of pure water is added to the solution, the total amount of water in the mixture becomes,

Since no alcohol is added, the amount of alcohol in the final mixture will remain same, that is, 102 mL.

Now, it is given that the concentration of the final mixture is 10%, So the amount of alcohol in the solution should be 10% of the total mixture,

Thus, you need to add 900 mL of pure water in order to have 10% alcohol solution.

And the equation used to solve this problem is,

The answer will be option D {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).

The probability is defined as the chances of happening of any random event. or the possibility of happening of any event is called as the probability.

It is given in the question that there are two colours in the spinner and the dice have 6 faces from {1 to 6} numbers on it.

The sample outcomes with the spinner and the dice will be as follows:-

S= {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).

Hence  answer will be {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).

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Answer:

\(\dfrac{8}{21}m^2+\dfrac{2}{15}m\)

Step-by-step explanation:

Given expression:

\(-\dfrac{2}{3}m\left(-\dfrac{4}{7}m-\dfrac{1}{5}\right)\)

Apply the distributive law  a(b - c) = ab - ac :

\(\implies \left(-\dfrac{2}{3}m\right)\cdot \left(-\dfrac{4}{7}m\right)-\left(-\dfrac{2}{3}m\right)\cdot \left(\dfrac{1}{5}\right)\)

Apply the rule  -(-a) = a :

\(\implies \dfrac{2}{3}m\cdot\dfrac{4}{7}m+\dfrac{2}{3}m\cdot \dfrac{1}{5}\)

\(\implies \dfrac{2}{3}\cdot\dfrac{4}{7} \cdot m \cdot m+\dfrac{2}{3}\cdot \dfrac{1}{5}\cdot m\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}\cdot\dfrac{b}{d}=\dfrac{ab}{cd}:\)

\(\implies \dfrac{2\cdot 4}{3\cdot 7} \cdot m \cdot m+\dfrac{2\cdot 1}{3\cdot 5} \cdot m\)

Simplify:

\(\implies \dfrac{8}{21}m^2+\dfrac{2}{15}m\)

Answer:

La M representa la pendiente de la recta y la b representa la intersección con el eje y

Step-by-step explanation:

Que tengas un excelente verano :)

Respuesta: En la ecuación y= mx + b, “m” representa la pendiente y “b” representa el y-intercept.

Espero que esto ayude, buena suerte! :D

Answer:

420

Step-by-step explanation:

edge

Answer:

see explanation

Step-by-step explanation:

(1)

3(x - 5)² = 48 ( divide both sides by 3 )

(x - 5)² = 16 ( take the square root of both sides )

x - 5 = ± \(\sqrt{16}\) = ± 4 ( add 5 to both sides )

x = 5 ± 4

Thus

x = 5 - 4 = 1

x = 5 + 4 = 9

Solutions are x = 1, x = 9

(2)

2x² - 56 = 42 ( add 56 to both sides )

2x² = 98 ( divide both sides by 2 )

x² = 49 ( take the square root of both sides )

x = ± \(\sqrt{49}\) = ± 7

Solutions are x = - 7, x = 7

Answer: first one is function second is not a function

Step-by-step explanation:

Answer:

meow meow

Step-by-step explanation:

Hi, your midpoint is (-2, 1). Hope this helps, have a great day and please mark me brainliest:)