What is the expanded form of this number?

14.702



1. (1×10)+(4×1)+(7×1100)+(2×11,000)

2. (1×10)+(4×1)+(7×1100)+(2×1100)

3. (1×10)+(4×1)+(7×110)+(2×11,000)

4. (1×10)+(4×1)+(7×110)+(2×1100)

Answer:

hyp=✓5*5+12*12

hyp=✓25+144

hyp=✓169

hyp=13cm

Hence, the length of diagonal bd=ac=13cm

To check which point satisfies the inequality 2x + y > 10, we substitute each value of x and y in the equation.

A. 2(2) + 3 > 10

    7 > 10

  This is incorrect. So the point does not satisfy the expression.

B. 2(3) + 2 > 10

    8 > 10

    This is also incorrect.

C. 2(4) + 3 >10

     11 > 10

     This is correct since 11 is greater than 10. So point (4,3) satisfies the inequality.

D. 2(3) + 4 > 10

    10 > 10

 This is also incorrect.

What is inequality?

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Answer:

reeg

Step-by-step explanation:

Answer:

The actual dimensions of the kitchen are 12 feet by 14 feet

Answer:

B

Step-by-step explanation:

MOST ACCURATE

Answer:

it is 5.65 hope it helps thanks

Answer:

0.8

Step-by-step explanation:

-4/4 + 160% + 1/5 =

= -1 + 1.6 + 0.2

= 0.8

Answer:

\(\frac{2}{75\pi}\)

Step-by-step explanation:

\(V=\frac{4}{3} \pi r^3 \\ \\ \frac{dV}{dt}=3\pi r^2 \frac{dr}{dt} \\ \\ -8=3\pi (10)^2 \frac{dr}{dt} \\ \\ \frac{dr}{dt}=-\frac{2}{75\pi}\)

Answer:

7 5/9

Step-by-step explanation:

340/45 = 7 5/9

Answer:

7.6 pages

Step-by-step explanation:

Okie, so this is a standard unit rate problem, so what you're going to do is divide the number of whatever, in this case, pages, by the time, so:

340 ÷ 45 = 7.6 (rounded)

So you read 7.5 pages per minute

(which is pretty impressive if it's a chapter book)

hope this helps:)

The potential solutions of logarithmic function using the logarithmic properties are found as -9 and 4.

The product of the log rule says that the sum of number of logarithm functions is equal to the log function of product of all the numbers, given  that base is same.

The given logarithmic function in the problem is,

\(\log_6x+\log(6x+5)=2\)

Using the product rule of logarithmic function, the above equation can be written as,

\(\log_6(x\times(x+5))=2\\\log_6(x^2+5x))=2\)

Using the equality rule of logarithmic function, the above equation can be written as,

\(x^2+5x=6^2\\x^2+5x=36\)

Take all the terms one side of the equation as,

\(x^2+5x-36=0\)

Find the factors of above equation using the split the middle term method as,

\(x^2+9x-4x-36=0\\x(x+9)-4(x+9)=0\\(x+9)(x-4)=0\)

By equating these factor to the zero one by one, we get the potential solution as -9 and 4.

Thus, the potential solutions of logarithmic function using the logarithmic properties are found as -9 and 4.

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Answer:

-9 and 4

Step-by-step explanation:

Did it on edge :)

Answer:

This geometric series is convergent:

\( \frac{10}{1 - ( - \frac{1}{5}) } = \frac{10}{ \frac{6}{5} } = 10( \frac{5}{6} ) = \frac{25}{3} = 8 \frac{1}{3} \)

The geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent.

To determine if the geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent or divergent, we need to examine the common ratio (r) between consecutive terms.

The common ratio (r) can be found by dividing any term by its preceding term.

Let's calculate it:

r = (-2) ÷ 10 = -0.2

r = 0.4 ÷ (-2) = -0.2

r = (-0.08) ÷ 0.4 = -0.2

In this series, the common ratio (r) is -0.2.

For a geometric series to be convergent, the absolute value of the common ratio (|r|) must be less than 1. If |r| ≥ 1, the series is divergent.

In this case, |r| = |-0.2| = 0.2 < 1.

Since the absolute value of the common ratio is less than 1, the geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent.

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Answer:

You didn'ttell us the question

Step-by-step explanation:

where is the question?

Answer:

27

Step-by-step explanation:

he was left with no pencils

Answer:

4 or 8, depending on how you interpret the questions

Step-by-step explanation:

In order to break even, they have to sell 4 widgets.  In other words, to make back the $200 they spent on design, they have to sell 4 widgets.  Anything over that is profit.  This assumes the entire $50 selling price goes to profit (no other information was given).

x = number of widgets

50x ≥ 200

x ≥ 4

To make another $200 above the break even, they have to sell 4 more widgets for a total of 8.

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

I put dots since i cant draw straight lines very well with a mouse.

An equivalent DFA can be constructed.

A minimal DFA equivalent to the constructed DFA can be obtained.

A regular expression can be derived using the minimal DFA.

An equivalent grammar represented by the minimal DFA can be provided.

To create an equivalent DFA, we can start with the given language or regular expression and use the subset construction algorithm to convert it into a DFA. This algorithm involves creating states that represent the subsets of the original language's states.

Once the DFA is constructed, we can minimize it using algorithms such as the Hopcroft's algorithm or the Moore's algorithm. These algorithms identify equivalent states and merge them to create a minimal DFA. The resulting DFA will have the fewest number of states possible while still accepting the same language.

Using the minimal DFA, we can derive a regular expression that represents the same language. This can be done by applying the Arden's theorem or by using other techniques such as state elimination or state reduction.

An equivalent grammar can be represented by the minimal DFA by using the DFA to guide the construction of production rules. Each state in the DFA corresponds to a non-terminal symbol in the grammar, and the transitions between states represent the production rules. The start state of the DFA corresponds to the start symbol of the grammar, and the accepting states of the DFA correspond to the terminal symbols or productions that generate the desired language.

By performing these steps, we can establish different representations of the given language, including an equivalent DFA, a minimal DFA, a regular expression, and an equivalent grammar.

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The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Answer:

b = 64°

Step-by-step explanation:

The sum of interior angles of a polygon is 180°(n - 2), where "n" is number of sides.

~~~~~~~~~~

180°(6 - 2) = 720°

114° + (b + 49°) + (2b - 25°) + 142° + (b + 39°) + (3b - 47°) = 720°

7b + (114° + 49° - 25° + 142° + 39° - 47°) = 720°

7b + 272° = 720°

7b = 448°

b = 64°

Answer:

(1, 3)

Step-by-step explanation:

The solution to any system is where the two lines meet. It would be no solution if the lines were parallel. An ordered pair is written out in the format (x, y).

Answer:

Vertically opposite angles are equal

So

x = 75°

Vertically opposite angles are equal

So

5y = 135°

Divide both sides by 5

y = 27

Hope this helps you

The length of the base edge of the square pyramid is 6 feet.

The surface area of a square pyramid is 96 square feet. The height is two thirds of the length of the base edge.

The length of the base edge can be found as follows:

Hence,

surface area of square pyramid = a² + 2al

where

Therefore,

using Pythagoras's theorem, let find the slant height of the pyramid.

c² = a² + b²

where

Hence,

height = 2 / 3 a

Therefore,

l² = (2 / 3 a)² + (1 / 2a )²

l² = 4 / 9 a² + 1 / 4 a²

l² = 25 / 36 a²

square root both sides

l = 5 / 6 a

Hence,

surface area of square pyramid = a² + 2a(5 / 6 a)

surface area of square pyramid = a² + 10 / 6 a²

surface area of square pyramid = 16 / 6 a²

96 = 16 / 6 a²

96 = 8 / 3 a²

cross multiply

96 × 3 = 8a²

288 / 8 = a²

a² = 36

a = √36

a = 6 feet

Therefore, the base length is 6 feet.

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The answer for the first one is 4.47945205479, if you need to round that would be 4.5.

The answer for the second one is 20.4945454545, rounding will be 20.5.

The answer for the last one is 893.84, rounding will be 893.8.

If you need to round just remember 4 or less, will be rounded to 0, and 5 or more would be rounded to 10.

Answer:

the answer is A.5%

Step-by-step explanation:

The conditional probability mass function P(X=k∣X+Y=m)= P(X=k, Y=m-k) / P(X+Y=m)

To find the conditional probability mass function P(X=k∣X+Y=m) for independent Poisson random variables X and Y, follow these steps:

1. Write down the joint probability mass function of X and Y:

P(X=k, Y=n)

= P(X=k) * P(Y=n)  since X and Y are independent.
2. Express P(X=k) and P(Y=n) using the Poisson probability mass function:

P(X=k) = (e^(-λx) * λx^k) / k! and P(Y=n) = (e^(-λy) * λy^n) / n!

3. Plug these expressions into the joint probability mass function:

P(X=k, Y=n)

= [(e^(-λx) * λx^k) / k!] * [(e^(-λy) * λy^n) / n!]

4. Write down the marginal probability mass function for

X+Y: P(X+Y=m)

= Σ [P(X=k, Y=m-k)]   for k=0 to m, where the summation is over all possible values of k.

5. Calculate the conditional probability mass function P(X=k∣X+Y=m) by dividing the joint probability mass function by the marginal probability mass function:

P(X=k∣X+Y=m) = P(X=k, Y=m-k) / P(X+Y=m)

In summary, the conditional probability mass function P(X=k∣X+Y=m) for independent Poisson random variables X and Y can be found using the joint probability mass function, the Poisson probability mass function, and the marginal probability mass function.

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The source of the force in the gas sample is; The force is composed of the sum of the collisions only between the gas molecules and the container

We are given that;

Pressure = Force /Area

Now, for any gas sample, force is defined as basically the force exerted by the gas molecules when they strike the surface and bounce back inside the container where they are located.

Now, from the definition above we can conclude that the source of the force in the gas sample will be The force is composed of the sum of the collisions only between the gas molecules and the container

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Answer:

d

Step-by-step explanation:

CAFDYahi Sahi answer hai bhai

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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Answer:

w= -11

Step-by-step explanation:

1. Subtract 2.8 from the right side and add it to the left side. Now you have 2+6.6=1.4.

2. Subtract 2 from the left side and add it to the right side. Now you have 6.6= -.6

3. Divide both sides by -.6. You will get -11=w

Answer:

I am assuming that you are talking about problem 2. so I will answer that.

Step-by-step explanation:

-2x + 6 ≥ 3x - 34

+2x        +2x

        6 ≥ 5x - 34

      +34       + 34

       40 ≥ 5x

       ÷5    ÷5

        8 ≥ x

So, x can be anything equal to or less than 8.

Answer:

x≤8

For the graph closed circle on 8 with the shading going to to left

Step-by-step explanation:

-2x+6≥3x-34 (given)

Subtract 6 on both sides

-2x≥3x-40

Subtract 3x on both sides

-5x≥-40

Divide by -5 on both sides

x≤8

*The sign flips because you divided by a negative (-5x)

To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:∫CF.v dlWhere v = (x²+2yz)i + y²j and dl = dx i + dy j + dz kTherefore,∫CF.(x²+2yz) dx + y² dy … (1)Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴

The above line integral is the required value. So, we need to evaluate this integral. To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:

∫CF.v dl

Where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

Therefore,

∫CF.(x²+2yz) dx + y² dy … (1)

Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴ The above line integral is the required value. So, we need to evaluate this integral.The integral is a line integral of a vector field, with the curve path of integration is given by C as follows: C: (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1)In other words, we need to evaluate the integral of the dot product of the vector field v with the differential of the curve:

∫CF.v dl...

where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

We must split the curve C into three distinct segments before we can start evaluating the integral. The segments will be from (0,0,0) to (1,0,0), from (1,0,0) to (1,1,0), and from (1,1,0) to (1,1,1).Let's start with the first segment, from (0,0,0) to (1,0,0). We can set x = t, y = 0, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = dt, dy = 0, dz = 0. We have:∫(0,0,0)to(1,0,0)

vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(t²+0)dt + 0 + 0= [t³/3]0to1= 1/3

Now, let's evaluate the second segment, from (1,0,0) to (1,1,0). We can set x = 1, y = t, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = dt, dz = 0. We have:

∫(1,0,0)to(1,1,0)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+0)dx + t²dy + 0dz= 1∫0to1(t²)dt= [t³/3]0to1= 1/3

Finally, let's evaluate the third segment, from (1,1,0) to (1,1,1). We can set x = 1, y = 1, z = t, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = 0, dz = dt. We have:

∫(1,1,0)to(1,1,1)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+2(1)(t))dx + 1²dy + 0dz= ∫0to1(1+2t)dt + 1(0to1)+ 0= [t²+t]0to1+ 1= 3/2

Therefore, the line integral is the sum of the integrals along the three segments:

∫CF.v dl= 1/3+ 1/3+ 3/2= 2

Thus, the value of the line integral of the given function v = x²+2yzi + y²j from (0,0,0) the point (1,1,1) by the route (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1) is equal to 2.

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