Find the sum of the equation

Data:

Manoj did 1/10

Kumar did 1/8

Kiran did 1/20

How much work did they finish working together?

Add the fractions as follow:

If the remaining part of the work is finished by Arun, what part of work is done by Arum?

Takes the total work as a unit (1), then subtract 11/40 from 1:

Then, Arum needs to do 29/40 part of the work to finish it,

Answer:

Step-by-step explanation:

-3

Answer:

b

Step-by-step explanation:

when I muiltply an and divide. if there are two negatives it makes a positive an if there jus one it's a negative

Answer: the answe is not at all close to the actual Nobel rate.

Step-by-step explanation:

Answer:

Mean: 20

Median: 16

Mode: No mode

Step-by-step explanation:

For the mean:

44 + 4 + 27 + 5 = 80

80/4 = 20

For the median:

5 + 27 = 32

32/2 = 16

For the mode:
None of the numbers are repeated.

Answer:

$1100

Step-by-step explanation:

First find the area of the trapezoid

A = 1/2 (b1+b2)*h

A = 1/2 ( 90+110) *44

A = 1/2(200)*44

A = 4400ft^2

The cost is .25 per square foot

4400* .25 =1100

Answer:

$1100

Step-by-step explanation:

((90 + 110)/2 * 44)) * .25 = 1100

5,278 hope this helps good luck!

Answer:

see explanation

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion.

(a)

\(\frac{PQ}{AB}\) = \(\frac{RS}{CD}\) ( substitute values )

\(\frac{PQ}{6}\) = \(\frac{12}{8}\) ( cross- multiply )

8 × PQ = 72 ( divide both sides by 8 )

PQ = 9 cm

(b)

\(\frac{AD}{PS}\) = \(\frac{CD}{RS}\) ( substitute values )

\(\frac{AD}{10.5}\) = \(\frac{8}{12}\) ( cross- multiply )

12 × AD = 84 ( divide both sides by 12 )

AD = 7 cm

(c)

given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

here ratio of sides CD : RS = 8 : 12 = 2 : 3

then ratio of areas = 2² : 3² = 4 : 9

let the area of PQRS be x , then using proportion

\(\frac{4}{48}\) = \(\frac{9}{x}\) ( cross- multiply )

4x = 432 ( divide both sides by 4 )

x = 108

then area of PQRS = 108 cm²

An expression for the total number of fish in the store is 22n.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. Since the pet store has n tanks of fish. Each tank has 22 fish. Using n, an expression for the total number of fish in the store will be

= 22 × n

= 22n

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a) 7 video games;

26 - x = 40 - 3x

x = 7

The value of f(2) as calculated by the given function is 14.

Given function:-

\(f(x)=2x^3-2\)

We have to find the value of f(2).

Putting x = 2 in the given function, we get:-

\(f(2)=2(2)^3-2\)

We know that the cube of 2 is 8. Hence, we can write,

f(2) = 2*8 -2 = 16 - 2 = 14.

Function

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

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Answer:

-2

Step-by-step explanation:

\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

\( = \frac{14 - 4}{ - 8 - ( - 3)} \)

\( = \frac{10}{ - 8 + 3} \)

\( = \frac{10}{ - 5} \)

= -2

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

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complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

Answer:

y = -23x + 7

Step-by-step explanation

We are using the equation y = mx + b.

The slope (m) is -23, so it would be y = -23 + b.

b is the y-intercept, and the ordered pair that gives us the y-intercept is (0,7).

Remember that the y-intercept is what the y-coordinate is equal to when the x-coordinate is 0.

Answer:

264cm³

Step-by-step explanation:

Volume of figure

= (3×8×7) + (4×3×8)

= 168 + 96

= 264cm³

\((\stackrel{x_1}{-19}~,~\stackrel{y_1}{17})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{17}=\stackrel{m}{- 1}(x-\stackrel{x_1}{(-19)}) \implies y -17 = - 1 ( x +19) \\\\\\ y-17=-x-19\implies {\Large \begin{array}{llll} y=-x-2 \end{array}}\)

Answer:

y = -x - 2

Step-by-step explanation:

We are given that a line has a slope (m) of -1 and passes through (-19,17).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name

As we are already given the slope of the line, we can plug it into the equation.

Replace m with -1.

y = -1x + b

This can be rewritten to:

y = -x + b

Now, we need to find b.

As the equation passes through (-19,17), we can use its values to help solve for b.

Substitute -19 as x and 17 as y.

17 = -(-19) + b

17 = 19 + b

Subtract 19 from both sides.

-2 = b

Substitute -2 as b into the equation.

y = -x - 2

Answer:

0.0021 in scientific notation is \(\mathbf{2.1 x 10 ^ {-3}}\)

Step-by-step explanation:

We need to write 0.0021 in scientific notation.

Scientific Notation: A number expressed in scientific notation is written when numbers between 1 to 10 are multiplied by a power of 10.

In the given example 0.0021 our decimal will be shifted to the right 3 digits and the power will be negative 3 (-3)

So, 0.0021 in scientific notation is \(\mathbf{2.1 x 10 ^ {-3}}\)

Answer:

(f + g)(- 2) = 1

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= x - 3 + x² - x

= x² - 3

Thus

(f + g)(- 2) = (- 2)² - 3 = 4 - 3 = 1

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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Given an LTI system that has an output y = 2te^-ul for the input x(t) = -(t). Here, e^-ul is the decay constant and is a real positive constant. The impulse response of the system can be found by considering the impulse input x(t) = δ(t).

The output of the system with an impulse input is given by y(t) = h(t), where h(t) is the impulse response of the system.We have,x(t) = -(t)..........(1)Applying derivative on both sides of the above equation, we get,y(t) = 2te^-ul, Applying derivative on both sides of the above equation, we get,

Plot of frequency response and Impulse response of the system Hence, the plot of frequency response and the impulse response of the LTI system is shown in the figure below:, the frequency response is given by H(jω) = (2/(-jω + ul)^2) where ω is the angular frequency. The impulse response of the system is given by h(t) = (2/ul^2)t.e^-ul.

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Answer:

hope this helps

Step-by-step explanation:

2,995,384 - 89

==2,995,295

Answer:

the answer is 2,995,295

Given:

3x - 2

To find:

Describe the parts of the expression

Solution:

3x - 2Let us consider, f (x) = 3x - 2

The standard equation of the straight line is given by, y = mx + c

comparing the given equation with straight line equation, we get,

f (x) = y

m = 3

c = -2

m is the gradient of line

c is the y intercept (the graph crosses the y - axis)

The limit doesn't exist.

The value that a function (or sequence) approaches when the input (or index) gets closer to a particular value is known as a limit. Calculus and mathematical analysis are impossible without limits, which are also required to determine continuity, derivatives, and integrals.

In addition to being closely related to limit and direct limit in category theory, the idea of a limit of a sequence is further generalized to include the concept of a limit of a topological net.

A function's limit is typically expressed in formulas as

\(\lim_{x \to c } F(x) = L\)

It is typically used to assign values to specific functions at locations where none are defined while maintaining consistency with existing values.

\(F(x) = -x+8 ,x\leq 0\)

\(F(x) = 4x+9 , if x > 0\)

\(\lim_{x \to 0^{+} } F(x) = \lim_{n \to 0^{+} } (4x+9) = 9\)

\(\lim_{x \to 0^{-} } F(x) = \lim_{x \to 0^{-} } (-x+8) =8\)

\(\lim_{x \to 0^{+} } F(x) \neq \lim_{x \to 0^{-} } F(x)\)

So limit doesn't exist

For limit to exist

\(\lim_{x \to 0^{+} } F(x) = \lim_{x \to 0^{-} } F(x) = \lim_{x \to 0} f(x)\)

must be satisfied

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Answer:

In December, Zalma will have $480.

Step-by-step explanation:

The time from March to October is 7 months. In those 7 months, she gains $280. So every month, her investment gains $40.

The time from March to December is 9 months. She will gain $360 during that time. We add her initial $120 with the $360, and Zalma will have $480.

It's not confirmed, but it's what I got. :D

which location would the selected items BEST fit on the nuclear energy diagram

The correct interpretation of the confidence interval is: “We are 95% confident that the population mean number of hours adults spend on formal exercise each week lies between 0.45 and 7.94.”


Option (a) is the correct interpretation because a confidence interval provides a range of values within which the true population mean is likely to fall. In this case, based on the researcher’s sample and statistical analysis, there is a 95% confidence that the true population mean number of hours adults spend on formal exercise per week is between 0.45 and 7.94 hours.

This interpretation takes into account the uncertainty inherent in statistical estimation and provides a range rather than a specific value. The other options either refer to the sample mean or imply probabilities, which are not accurate interpretations of a confidence interval.

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Since the events are not mutually exclusive, there is a possibility that they occur simultaneously. Therefore, we need to consider this possibility in calculating the probability of event a occurring before event b.

Answer:

Let P(a) and P(b) be the probabilities of event a and event b, respectively. Then, the probability that event a occurs before event b is given by the formula:

P(a before b) = P(a) + P(a and b)/[1 - P(b)]

Here, P(a and b) represents the probability that events a and b occur simultaneously. Since the events are independent, we can calculate this probability as:

P(a and b) = P(a) x P(b)

Substituting this value in the formula, we get:

P(a before b) = P(a) + P(a) x P(b)/[1 - P(b)]

Simplifying this expression, we get:

P(a before b) = P(a) / [1 - P(b)]

This formula gives us the probability that event a occurs before event b, given that a and b are independent events (and not mutually exclusive). We can use this formula to calculate the probability of event a occurring before event b for any given values of P(a) and P(b).

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Answer:

a. 2

c. efx = 20 = 2.22

x. 9

b.1/2×20 = 10

Step-by-step explanation:

it is 2 because it has the highest frequency

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 =  1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ =  V - V₁

V₂ =  1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

Answer

The arc length of the semicircle is  5\(\pi\) units or 15.7\(\pi\) units

The arc length of the semi-circle will be equal to 11π.

The arc length of the semicircle is defined as the length of the curved path of the circle.

The arc length will be calculated as follows:-

Arc = π x r

Arc = π x 11

Arc = 11π

Therefore the arc length of the semi-circle will be equal to 11π.

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Zelma is 28 years old and her son is 10 years old. We brought this conclusion with the help of algebra.

Let x = son's age now

Then, x+18 = Zelma's age now

x-1 = son's age one year ago

x+17 = Zelma's age one year ago

x+17 = 3(x-1)

x+17 = 3x-3

   2x = 20

     x = 10

Algebra is the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation of variables as if they were numbers and is therefore essential in all applications of mathematics.

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