Rashid can do a piece of work in 8 days, which Tipu can finish in 12 days. If they work at it on alternate days with Rashid beginning, in how many days, the work will be finished?

Answer:(x-3)² + (y-2)² = 25

Step-by-step explanation:

A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².

So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.

Answer:

(x - 3)² + (y - 2)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (3, 2 ) and r = 5 , then

(x - 3)² + (y - 2)² = 5² , that is

(x - 3)² + (y - 2)² = 25 ← equation of circle

Answer:

x = 7

Step-by-step explanation:

x(XY) = 6(WX)

x(x + 11) = 6(6 + 15)

x² + 11x = 126

x² + 11x - 126 = 0

126 = 7 × 18

(x + 18)(x - 7) = 0

x + 18 = 0   or   x - 7 = 0

x = -18   or   x = 7

We discard the negative answer.

x = 7

The length of the hypotenuse of the triangle is b = x√2 units

Given data ,

Let the triangle be represented as ΔABC

And , the triangle is a 45 - 45 - 90 triangle

So , the two legs are congruent to one another and the non-right angles are both equal to 45 degrees

And , the sides are in the proportion x : x : x√2

Now , the length of the sides of the triangle are

The measure of base BC = a units = x

The measure of height AB = c units = x

So , the measure of the hypotenuse of the triangle is = x√2 units

Hence , the triangle is solved and hypotenuse AC = x√2 units

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Answer: 6

Step-by-step explanation: 87

Answer:

c -1/2

Step-by-step explanation:

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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Answer:

To solve the expression 2 + 7 • (-3)^2, we follow the order of operations, also known as PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we evaluate the exponent: (-3)^2 = 9 (because squaring a number means multiplying it by itself).

Next, we perform multiplication: 7 • 9 = 63.

Finally, we perform addition: 2 + 63 = 65.

So, the value of the expression 2 + 7 • (-3)^2 is 65.

Answer:

\(\boxed{4y - 3x = 50}\)

.

Step-by-step explanation:

User the form below

\(\boxed{\boxed{y-y_1 = m(x - x_1)}}\)

Where

.

So, the equation is

\(m = \frac{3}{4}\)

\((-6,~8)\to x_1 = -6~~and~~y_1 = 8\)

.

\(y-y_1 = m(x - x_1)\)

\(y - 8 = \frac{3}{4} (x - (-6))\)

\(4(y - 8) = 3(x + 6)\)

\(4y - 32 = 3x + 18\)

\(4y - 3x = 18 + 32\)

\(4y - 3x = 50\)

.

Happy to help :)

Answer:

g(x) = -|x+12|

Step-by-step explanation:

The zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3

The function is given as:

y = 6x^2 + x - 35

Expand the function

y = 6x^2 + 15x - 14x - 35

Factorize the function

y = (2x + 5) * (3x - 7)

Set the function to 0

(2x + 5) * (3x - 7) = 0

Split

2x + 5 = 0 or 3x - 7 = 0

Solve for x

x = -2.5 or x = 7/3

Hence, the zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3

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Answer:

y=2x+3

Step-by-step explanation:

Slope intercept form: y=mx+b

mx(slope)=2

(b)y-intercept=3

y=2x+3

Hope this helps :)

The problem states that the sample is skewed to the right, which suggests that the sample is not normally distributed.

What is mean ?

Mean can be defined as ratio of sum of observation and total number of observations.

In order to construct a confidence interval for the mean age of the faculty members at the university using a t-distribution, we need to check that the following conditions have been met:

Independence: The sample of 20 faculty members must be selected randomly and independently from the population of all faculty members at the university.

Sample size: The sample size should be less than 10% of the total population size. Since the population size is approximately 700, 20 is certainly less than 10% of 700, so this condition is satisfied.

Skewness: The sample distribution should be approximately normal or the sample size should be large enough (greater than or equal to 30) for the central limit theorem to apply.

Therefore, the problem states that the sample is skewed to the right, which suggests that the sample is not normally distributed.

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Answer:

the data is a random sample from the population of interest.

individual observations can be considered independent.

Step-by-step explanation:

We will solve as follows:

So, we are trying to find:

Now, we proceed as follows:

*We take the constant term of the divisror with the opposite sign and write it to the left.

*We write the coefficients of the dividenf to the right:

Then, we proceed to operate:

From this, we will have that the quotient is:

And the remainder is 0.

So, (x + 1) is in fact a factor of (5x^3 -12x^2 -11x + 6).

Answer: measurement 1, and 3 is 147. Measurement 4 is 33

Answer:

x= -5

y= -21

Step-by-step explanation

I hope that is the answer you are looking for!And Brainiest is needed!

Answer:

-3.5

Step-by-step explanation:

Or, x-2=-5.5

Or, x =-5.5+2

Or, x =-3.5

Answer:

I'm sorry

Step-by-step explanation:

I don't know . Thank you

Answer:

2 19/21, 61/21

Step-by-step explanation:

First, lets make the denimonators, "3 and 7" common. 3 and 7 are prime numbers, so the common denonminator is "21".

For 7/3, multiply by "7/7" and for 4/7 multiply by "3/3".

49/21 + 12/21

Add.

61/21

61 is a prime number so this answer will be your final answer.

(unless you have to put it as a mixed number which would be 2 19/21)

Answer:

61/21

Step-by-step explanation:

The 2 fractions must have a common denominator and you do that by finding the LCM and the multiply the numerators by what you multiplied the denominators by in order to get that number. From here you must add the numerators together and keep the denominator the same and then you get that answer. You cannot simplify anymore so your answer is above.

(hope you get it right)

Mark Brainliest Please

Answer:

60%

Step-by-step explanation:

36= heads

36/60= 60%

Answer:

60x24x36=51,840%

Step-by-step explanation:

Answer: y=3x-2

Step-by-step explanation:

3y-9x=-6

First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.

Answer:

This equation in slope intercept form would be y = 3x - 2

Step-by-step explanation:

The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3

So the answer is y = 3x - 2

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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Thus, the cardinal number of the set E is found to be: N(E) = 6.

A cardinal number describes or expresses how many of anything are present.

So all natural numbers are often refereed to as cardinal numbers. Cardinal numerals have been used for counting. When an ordinal number is an integer that represents the location or place of an object.

The description of a cardinal number is really a number that is used to express quantity in whole numbers. Decimals and fractions are not regarded as cardinal numbers. Natural numbers and numbering numbers constitute cardinal numbers. Each of them is a positive integer.

Given data:

N(CxE) = 18

C = {4, 5, 6)

In which N is the cardinal number, that is the total elements present in the set.

So,

N(C) = 3

Given that: N(CxE) = 18

The formula for the Cartesian product is:

N(CxE) = N(C) * N(E)

18 = 3* N(E)

N(E)  = 18 /3

N(E) = 6

Thus, the cardinal number of the set E is found to be: N(E) = 6.

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Complete questions:

Find N(E), Given That N(CxE) = 18 And C = {4, 5, 6).

Α. 6

B. 9

C. 3

D. 5

The p-value > 0.05, we fail to reject the null hypothesis and we can conclude that there are no differences.

What is the p-value?

The p-value is a number, calculated from a statistical test, that describes how likely you are to have found a particular set of observations if the null hypothesis were true. p-values are used in hypothesis testing to help decide whether to reject the null hypothesis.

                  Observed(fo)  

           Southerners    Northeasterners      Total

Optional         6                     18                24

Mandatory 13                     17                        30

Total         19                     35                54

                  Expected(fe)  

           Southerners     Northeasterners Total

Optional         8.44                     15.56                   24

Mandatory 10.56             19.44                   30

Total          19                      35                   54

                  χ² = (fo - fe)²/fe  

            Southerners Northeasterners   Total

Optional          0.708            0.384                  1.092

Mandatory  0.566            0.307                  0.873

Total          1.274            0.691                  1.965

Test statistic:

χ² = 1.97

df=(2-1)*(2-1)=1

p-value =  χ² DIST(1.97,1)=0.1610

Hence, the p-value > 0.05, we fail to reject the null hypothesis and we can conclude that there are no differences.

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The length of the unknown side of the triangle is 6

The image that completes the question is added as an attachment.

From the attached image, we have the following equivalent ratios:

x : 3 = 8 : 4 = 10 : 5

Rewrite as:

x : 3 = 8 : 4

Express as fraction

x/3 = 8/4

Multiply both sides by 3

x = 6

Hence, the length of the unknown side of the triangle is 6

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Answer:

4.

Step-by-step explanation:

Degree will he 4, since the largest exponent will still be 4 after the addition.

Answer:

Step-by-step explanation:

\(x^{4} +4y^{2} -5xy + x^{3} -y+2xy=x^{4}+x^{3}+4y^{2-y-3xy\)

Therefore, grade of the sum is 4.

The set of coordinates that satisfy the equation are as follows:

(2, 3)

The equation given is as follows:

x - 2y = -1

2x + 3y = 12

Therefore, let's find the set of coordinates that satisfies the equation. Hence,

x - 2y = -1

2x + 3y = 12

multiply equation(i) by 2

Hence,

2x - 4y = -2

2x + 3y = 12

Therefore, subtract the equations

7y = 14

divide both sides of the equation by 7

y = 14 / 7

y = 2

Let's find x as follows

x - 2y = -1

x = -1 + 2(2)

x = -1 + 4

x = 3

Therefore, the solution is (2, 3)

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Answer:

Slope is 1/4

Step-by-step explanation:

Count the rise over run from somewhere the line is matched up with a whole point, like 20 or 60. The next place the point is a whole (if starting from 20) is 60. Run is 4. The Rise from 20 to 60 is 1

Answer:

\(\frac14\)

Step-by-step explanation:

Hello!

Slope can be calculated by the formula \(\frac{Rise}{Run}\).

We need two points to calculate the slope.

The two points I'm picking are (20,10) and (60,20)

Plugging it into the formula:

The slope is \(\frac14\).