100 POINTS AND BRAINLIST

Step-by-step explanation:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly.

I hope this helps.

Step-by-step explanation:

8/3

8-3=6

6/3

6-3=

Answer:

let the number of steps taken by friend 1, 2 and 3 be: x, y and z respectively

we know that the mean of the total steps taken by all the friends is 10,350

Since the formula for mean is: sum of all values / number of values

here, the total values is the total number of steps taken

So,

steps taken by friend 1  +steps taken by friend 2 +steps taken by friend 3 +steps taken by friend 4 +steps taken by friend 5 +steps taken by friend 6

all that divided by 6 will give us the mean

so,  7800 + 8000 + 9800 + x + y + z / 6

(25600 + x + y + z)/6 = 10350

25600 + x + y + z = 10350 * 6

x + y + z = 62100 - 25600

x + y + z = 36500

So since the sum of x, y and z is 36500,

we can say that the average value of x , y and z is 12167 (36500/3)

So the next thing to make an equation out of is Median

to find the median, we need to arrange the values in any order you like, i will arrange in descending order

so since the estimated value of all x , y and z is greater than the greatest known value:

x > y > z > 9800 > 8000 > 7800

Since this set of values has an even number of values, we will take the average of the middle 2 values as the median

(9800 + z)/2 = 10000

9800 + z = 20000

z = 10200 -------- we have found one of the three values! getting closer

Now, the final equation will be found from the range

since we already have sorted our data, and the difference of the highest and lowest is the range

x > y > z > 9800 > 8000 > 7800

So, x - 7800  = 7500

x = 15300 ------- now that we have x and z, we can use the first equation to find the value of y and we will be done!

x + y + z = 36500

replacing the values

15300 + y + 10200 = 62100

y = 36500 - 25500

y = 11000

So the three remaining friends walked

15300, 11000 and 10200 steps

Answer:

The train was travelling at 60 km/h

Step-by-step explanation:

We're already given time and distance, and speed is just distance/time, so:

240km / 4h

= (240/4) km/h

= 60km/h

It takes 400 years for $600 to earn $72 at the rate of 0.03 percent annual

"Simple" interest refers to the straightforward crediting of cash flows associated with some investment or deposit.

The formula for calculating Simple interest

I=PRT

Where I is the Interest

P=Principle amount

I is interest Amount

R is rate of interest per year as a percent

T is time period involved

P=600

I=72

r=0.03%

t=?

I=PRT

Plug in the values P, R and I

72=600×(0.03%)×T

72=600×0.0003×T

72=0.18×T

400=T

Hence it takes 400 years, for amount  $600 to earn $72 at the rate of 0.03 percent annual.

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In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

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Answer:

x= 2/3

Step-by-step explanation:

Answer:

x = 2/3 or 0.66666666666

Step-by-step explanation:

Ok Andy heres what u do

5x + 3(1 – 2) = 2(x – 3) + 5 ---> ur gonna use substitution for this one

5x + 3 - 6 = 2x - 6 + 5 ---> equation should look like this after

since u have extra numbers on both sides left just add or subtract them

5x - 3 = 2x - 1 ---> now this would be ur final equation so all u have to do is solve!

5x - 3 = 2x - 1

   + 3 = 2x + 3

--------------------- ---> add 3 on both sides

    5x = 2x + 2

  - 2x = - 2x + 2

----------------------- ---> subtract 2x on both sides

    3x = 2

now u just do 2 ÷ 3 which equals 0.66666666666 or if u want ur answer to be in fraction then just leave it as 2/3 so do u get it now?

Answer:

quadrant 1

Step-by-step explanation:

quadrant 1 is (-,+)

Answer:

88

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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\(\huge \bf༆ Answer ༄\)

Conversion from degree to radian ~

Conversion from radians to degree ~

The required measures of the angles in radians and degree are given as  π/2 radians and -36° respectively.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
An angle of 90° measures
in radians,
angle = π/180 × Ф
angle = π/180 × 90 = π/2 radians

Similarly,
An angle of -pi/5 radians
in degrees,
angle = 180 / π × -π/5
angle = -36°

Thus, the required measures of the angles in radians and degree are given as  π/2 radians and -36° respectively.

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Answer:

They're all right! Great Job! (Muy Bien)

Step-by-step explanation:

Answer: ellos si or yes they do

Recall that the Euler circuit is a circuit that doesn't repeat edges except first and last and covers all the edges.

In figure I,

Here this circuit does not cover all the edges, so this is not an Euler circuit

In figure II,

This circuit contains all the edges and is not repeated.

This is the Euler circuit.

Hence B is correct.

Answer:

The distance the water is traveling and the time it took.

Step-by-step explanation:

The speed formula is s= d/t so I would guess that is what the question means.

(Sorry if I didn't take a lot of time to answer, it had caps so I would guess that you needed the answer fast. )

Answer:

Jack ate two and a half pieces of a pie. Amy ate one and three fourth pieces of a pie. How much pie did they eat altogether?

Step-by-step explanation:

Jack ate 2 1/2 pie

Amy ate 1 3/4 pie

2 1/2 + 1 3/4 = 4 1/4

They ate four and one-fourth pieces of pie altogether.

Step-by-step explanation:

by using the paymdnt pkan, the total amount to pay is,

36 + 15×12

= £216

so saving 240-216 = 24. ( 10%)

so it is not 8% saving

The domain will be all real numbers, range will be all real numbers below -3

The domain is the input value for which a function exists while the range is the output value for which a function exist.

Given the function  f(x) = -(x+3)(x - 1)

From the graph you can see that the quadratic graph goes forever left and right but the vertex has a y value of -3 showing that it is a negative sloped graph, so anything below that is in the range.

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Using the z-distribution, it is found that the p-value is of 0.5975.

At the null hypothesis, it is tested if the proportions are equal, that is, their subtraction is 0, hence:

\(H_0: p_1 - p_2 = 0\)

At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:

\(H_1: p_1 - p_2 \neq 0\)

The sample sizes and proportions are given by:

\(n_1 = 631, p_1 = \frac{133}{631} = 0.2108\)

\(n_2 = 121, p_2 = \frac{23}{121} = 0.1901\)

The standard errors are given by:

\(s_1 = \sqrt{\frac{0.2108(0.7892)}{631}} = 0.0162\)

\(s_2 = \sqrt{\frac{0.1908(0.8092)}{121}} = 0.0357\)

For the distribution of differences, the estimate and the standard error are:

\(\overline{p} = p_1 - p_2 = 0.2108 - 0.1901 = 0.0207\)

\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0162^2 + 0.0357^2} = 0.0392\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{s}\)

In which \(p = 0\) is the value tested at the null hypothesis.

Then:

\(z = \frac{\overline{p} - p}{s}\)

\(z = \frac{0.0207 - 0}{0.0392}\)

\(z = 0.528\)

Using a z-distribution calculator, with a two-tailed test, as we are testing if the mean is different of a value, the p-value is of 0.5975.

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We can see that the dot plot is seen below.

We can see here that An example of a graphical representation of data is a dot plot. It is a number line with dots above each value to indicate the frequency or count of that value.

Depending on the type of data being shown, the dots are often arranged either horizontally or vertically.

Dot plots are known to be useful for showing the distribution of data, particularly for small data sets.

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Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

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Answer:

which of the following is the standard from of quadratic equation

Answer:  48 R3

Step-by-step explanation:

The nth term of sequence : 4,4,0,-8,-20 is -2\(n^{2}\) + 6n .

The nth term is a formula that enables us to find any term in a sequence. The ‘n‘ stands for the term number. We can make a sequence using the nth term by substituting different values for the term number(n).

According to the question

Sequence : 4,4,0,-8,-20

For nth term

we will look for pattern in it

as the difference between sequence is

    4          4           0           -8            -20

FD      0          -4         -8           -12  

SD           -4          -4         -4

where

FD = first difference

SD = second difference

As, SD is same over here

this is a quadratic equation

The general equation of quadratic equation is

\(an^{2} + bn + c\)

where n = number of terms

now,

1> a = SD/2

   a = -4/2 = -2

2> 3a+b = FD

    3 * -2 + b = 0

    -6 + b = 0

      b = 6

3>  a + b +c = 1st term of sequence

     -2 + 6 + c = 4

            c  =  0

Now ,substituting the value in  general equation of quadratic equation is

nth term = \(an^{2} + bn + c\)

nth term = -2\(n^{2}\) + 6n

Hence, The nth term of sequence : 4,4,0,-8,-20 is -2\(n^{2}\) + 6n .

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a. \(\frac{dy}{dx} \ at \ x=0 \ is \ c.\)

b.  \(\frac{dy}{dx} \at x=-L \ is \ 3aL^2+2bL+c.\)

a. The derivative of a cubic function

\(y=ax^3+bx^2+cx+d\)  is  \(y'=3ax^2+2bx+c\).

Plugging in x=0, we get y'=c. Thus, \(\frac{dy}{dx}\) at x=0 is c.

b. Plugging in x=-L, we get \(y'=3a(-L)^2+2b(-L)+c\).

Thus, \(\frac{dy}{dx}\) at \(x=-L \ is\ 3a(-L)^2+2b(-L)+c.\)

A derivative is a financial instrument that derives its value from an underlying asset. It is a contract between two or more parties that specifies conditions (such as the date, price, and quantity of the underlying asset) under which payments, or payoffs, are to be made between the parties. Derivatives can be used for a variety of purposes, such as hedging risk or speculating on the future price of an asset.

A function is a mathematical relation between two sets of numbers that assigns each element in one set to exactly one element in the other set. For example, the function f(x) = 2x+3 assigns each real number x to the real number 2x+3

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Answer:

50

Step-by-step explanation:

8 + 10a - 3 + 5a   when a=3

8+10(3)-3+5(3)=

8+30-3+15=

38+15-3=50

By using and applying the concept of ratio, the entire flower arrangement will be 30 inches tall.

Herein, we must use ratios to estimate the expected height of flowers to be set in an ancient vase. Mathematically speaking, the ratio represents the change in the flower height divided by the change in the height of the ancient vase. Then, if we know that r = 5 / 3 and x = 18 in, then the height of the flowers is:

y = r · x    (1)

Where x is the height of the ancient vase and r is the flower height to container ratio.

y = (5 / 3) · (18 in)

y = 30 in

By using and applying the concept of ratio, the entire flower arrangement will be 30 inches tall.

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Answer:

Step-by-step explanation:

5 + 1 = 6 units

90 : 6 = 15 (one unit)

15 * 5 = 75°