How many times of rs. 1300 is the value including 13% vat on rs. 13000?

Answer:

Step-by-step explanation:

The x value is always going to be - 4. The y value will vary quite a bit.

x + 4 = 0 is the equation of the line. The slope is undefined. There is no y intercept. There is an x intercept; it is minus 4.

Answer:

3/4

Step-by-step explanation:

Let's say that r is the radius of the large circle or the diameter of the small circle.

Area of the big circle is \(\pi r^{2}\) .

Area of the small circle is \(\pi \frac{r}{2} ^{2} = \pi \frac{r^{2}}{4}\).

The ratio of these 2 circles is 1/4 (calculation in the comments).

So the shaded part represent 1 - 1/4 = 3/4.

Answer:

x = - 45

Step-by-step explanation:

15 = - \(\frac{x}{3}\)

multiply both sides by - 3 ( attaching the - to the 3 )

15 × - 3 = x , that is

x = - 45

Answer:

Solution given.

centre (h,k):(-6,1)

radius (r)=2

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+6)²+(y-1)²=2²

(x+6)²+(y-1)²=4 is a required equation of a circle.

A researcher records the following scores for attention during a video game task for two samples. Sample B has the largest standard deviation.

To determine which sample has the largest standard deviation, we need to calculate the standard deviation for both Sample A and Sample B.

Step 1: Calculate the mean (average) of each sample
Sample A: (10+12+14+16+18)/5 = 70/5 = 14
Sample B: (20+24+28+32+36)/5 = 140/5 = 28

Step 2: Calculate the squared differences from the mean in score
Sample A: (4²+2²+0²+2²+4²) = (16+4+0+4+16)
Sample B: (8²+4²+0²+4²+8²) = (64+16+0+16+64)

Step 3: Calculate the average of the squared differences
Sample A: (16+4+0+4+16)/5 = 40/5 = 8
Sample B: (64+16+0+16+64)/5 = 160/5 = 32

Step 4: Take the square root of the average squared differences to find the standard deviation
Sample A: √8 ≈ 2.83
Sample B: √32 ≈ 5.66

Based on the calculated standard deviations, Sample B has the largest standard deviation. So, the answer is Sample B.

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Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

Answer:

200-178=22

22/200*100=2200/200

2200/200=11

11%

Using the concepts of mean and standard deviation, and the central limit theorem, it is found that:

a. The mean is of: 3.3

b. The standard deviation is of: 1.23.

c. They would have a mean of 3.3 and a standard deviation of 0.55.

For this problem, the mean is given by:

M = (2 + 3 + 2 + 3 + 3 + 4 + 2 + 4 + 3 + 2 + 2 + 7 + 3 + 4 + 5 + 3 + 3 + 3 + 3 + 5)/20 = 3.3

The standard deviation is:

\(S = \sqrt{\frac{(2 - 3.3)^2 + (3 - 3.3)^2 + \cdots + (3 - 3.3)^2 + (5 - 3.3)^2}{20}} = 1.23\)

It states that for distribution of sample means of size n:

Hence, since 1.23/sqrt(5) = 0.55, the sample means would have a mean of 3.3 and a standard deviation of 0.55.

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Answer:

[×1] +16=10

×=10-16

×=-6

Answer:

x=5 and x=-5

Step-by-step explanation:

First subtract 16 from both sides.

Then solve for x+1=6 and x+1=-6

you answer should be x=5 and x=-5

Answer:

1

Step-by-step explanation:

Answer:

b=1

Step-by-step explanation:

Answer:

Bats        Insects(grams)

9                   45g

36                  X g

Unitary method :

              \(X = \frac{36*45}{9} = 4*45 = 180g\)

Answer:

Step-by-step explanation:

a. (I) x = 65

(ii) vertically opposite angles are equal.

b. (i) 71 degrees

(ii) alternate interior angles are equal

c. (i) z = 180 - 71 = 109 degrees

(ii) angles on a line add up to 180 degrees

Answer:

x = 65°, y = 71°, z = 44°

Step-by-step explanation:

x and 65 are vertical angles and congruent, thus

x = 65°

y and 71 are alternate angles and congruent, thus

y = 71°

The sum of the 3 angles in a triangle = 180°, thus

z = 180° - (65 + 71)° = 180° - 136° = 44°

Hence

x = 65°, y = 71° and z = 44°

Answer:

straight diagonal line, it passes through (0, 10) and (5, 0)

Answer:

letters A and D

Answer:

30

Step-by-step explanation:

p(3)= 11(3)-3

p(3)= 33-3

p(3)=30

Answer:

30

Step-by-step explanation:

Answer:

When the x-coordinate is -3, the y coordinate is 15.

Step-by-step explanation:

The function is y = -5x.  Now, if x happens to be -3, y = -5(-3) = 15.

When the x-coordinate is -3, the y coordinate is 15.

The dimensions of the box that maximize the volume are x = √700 and h = 100 / √700.

To find the largest possible volume of the box, we need to optimize the dimensions of the box. Let's denote the length of each side of the square base as x and the height of the box as h.

The surface area of the box consists of the area of the square base (x^2) and the four sides of the box (4xh). Since the box has an open top, we do not consider the top surface. The total surface area is given as 2100 square centimeters, so we have:

x^2 + 4xh = 2100

To maximize the volume, we need to express the volume of the box (V) in terms of a single variable. The volume of a rectangular prism is given by V = x^2h.

We can rewrite the equation for the surface area to solve for h:

h = (2100 - x^2) / (4x)

Now we can substitute this expression for h in the volume equation:

V = x^2 * [(2100 - x^2) / (4x)]

Simplifying, we have:

V = (1/4) * (2100x - x^3)

To find the maximum volume, we need to find the critical points of this function. We take the derivative of V with respect to x and set it equal to zero:

dV/dx = 2100/4 - (3/4)x^2 = 0

Solving this equation, we find:

2100/4 = (3/4)x^2

x^2 = 700

x = √700

Substituting this value back into the equation for h, we find:

h = (2100 - 700) / (4 * √700) = 1400 / (4 * √700) = 100 / √700

Therefore, the largest possible volume of the box is:

V = (1/4) * (2100 * √700 - 700 * √700) = 350√700 cubic centimeters.

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Answer: k = 4

Step-by-step explanation:

For this division, to determine the value of k, use the Remainder Theorem, which states that:

polynomial p(x) = dividend (x-a) * quotient Q(x) + remainder R(x)

Knowing the degree of quotient is

degree of Q = degree of p(x) - degree of (x-a)

For this case, Q(x) is a third degree polynomial.

Using the theorem:

\(x^{4}-3x^{2}+kx-2 = (x-2)(ax^{3}+bx^{2}+cx+d) + 10\)

\(x^{4}-3x^{2}+kx-2 = ax^{4} + x^{3}(b-2a)+x^{2}(c-2a)+x(d-2c)-2d+10\)

a = 1

b - 2a = 0 ⇒ b = 2

c - 2b = -3 ⇒ c = 1

-2d + 10 = -2 ⇒ d = 6

d - 2c = k ⇒ k = 4

Therefore, k = 4 and Q(x) = \(x^{4} -2x^{2} + 4x + 2\)

Answer:

$109.48

Step-by-step explanation:

If you multiply 115 by 0.952, it will give you the answer which it $109.48 !

Answer:

109.48

Step-by-step explanation:

you have to multiply

.952 × 115

Based on the given parameters, the number of filet mignon the restaurant served is 14

From the question, the given parameters are:

Dinner specials =  salmon filet and filet mignon.

Dinner specials = 70 dinner specials

Salmon filets =  80%

This means that the proportion of filet mignon is

filet mignon = 100%- Salmon filets

This gives

filet mignon = 100%- 80%

Evaluate the difference

filet mignon = 20%

The number of filet mignon is calculated as:

filet mignon = 20% * Dinner specials

Substitute the known values in the above equation

filet mignon = 20% * 70

Express 20% as decimal

filet mignon = 0.20 * 70

Evaluate the product

filet mignon = 14

Hence, the number of filet mignon the restaurant served is 14

So, the complete parameters are:

Dinner specials =  salmon filet and filet mignon.

Dinner specials = 70 dinner specials

Salmon filets =  80%

filet mignon = 14

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1.

What do you know?

the troposphere extends 8 to 20 km above the Earth's surface. The surface temperature is 15°C and decreases at a rate of 6.5°C per kilometer away.

What do you want to find out?

The temperature at any point of the troposphere

What kind of answer do you expect?

Any value below 15°C

2. Define variables,

T is for temperature, and

d is the distance away from the surface

3. What is the b -value

b = 15

which is the Earth's surface temperature or the initial temperature for our problem

4. What is the slope

the slope 'm' equals -6.5

which means that the temperature decreases 6.5°C per km

5. write the equation

the general form for this equations is y = b + mx

thus, for our problem, the equation is: T = 15 - 6.5*d

6.

a) the slope represents the rate of change of temperature with respect to distance, since m = -6.5 °C/km , this means the troposphere is getting 6.5 °C colder per km away from Earth's surface

b) the y-intercept represents the Earth's surface temperature

Graph:

7. identify 3 points

when d = 0 then T = 15, so our first point is (0,15)

when d = 1 then T = 15 - 6.5 = 8.5 , so our second point is (1,8.5)

when d = 2 then T = 15 - 13 = 2 so our third point is (2,2)

8. calculate the slope

let's use this equation and this set of points,

let's replace and solve

We can see that it does match the slope from our model, which is -6.5

9. graph the line and the points,

10. Complete the sentence

... ends between 8 km and 20 km above Earth.

11. temperature at the farthest point

when d = 20 then,

... the temperature is -115°C

12. Temperature range,

from... 15 °C to -115 °C

The statement "Ray EB bisects ∠AEF" is true based on the given diagram. It is the only statement that we can determine to be true with the information provided. Option D

To determine which statement is true about the given diagram, we need to analyze the information provided.

∠DEF is a right angle: We cannot determine whether ∠DEF is a right angle based on the given information. We do not have any specific information about the angles in the diagram.

m∠DEA = m∠FEC: We cannot determine whether m∠DEA is equal to m∠FEC based on the given information. We do not have any measurements or angles given to compare their measures.

∠BEA ≅ ∠BEC: We cannot determine whether ∠BEA is congruent to ∠BEC based on the given information. We do not have any measurements or angles given to compare their measures.

Ray EB bisects ∠AEF: From the diagram, we can see that ray EB is dividing ∠AEF into two smaller angles, ∠DEA and ∠FEC. If ray EB is dividing ∠AEF equally, then it is indeed bisecting ∠AEF.

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Answer:

its 44

Step-by-step explanation:

because IRS 444 j utf d funk nhc ddh

When measuring the effects of a new diuretic medication, hourly urine output represents the ratio level of measurement.

What is ratio level of measurement?

Ratio level of measurement is a type of measurement that features a true zero point, meaning that the value 0 represents the absence of the characteristic being measured.

Some examples of ratio level measurements include weight, height, length, distance, speed, and many others. In this case, the hourly urine output of subjects is measured to determine the effects of a new diuretic medication.

The hourly urine output is a ratio measurement because it has a true zero point, which is the absence of urine output. In other words, if there is no urine output, the value would be 0, which represents the absence of the characteristic being measured.

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