What is the length of segment DF?
B
4/28
1
68°
C
2
А A
2
3
8
4
68°
28°
F
5
Type your answer.

Answer:

exactly normal

The surface area of a horse with the mass  is 4.5 x 10^6 square centimeters,

From the question, we have the following parameters that can be used in our computation:

S = 10mi

Using the above as a guide, we have the following:

m =  4.5 x 10^5 grams

substitute the known values in the above equation, so, we have the following representation

S =10 * 4.5 x 10^5

So, we have

S =4.5 x 10^6

Hence, the surfave area is 4.5 x 10^6

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Answer: 0.79758

Step-by-step explanation:

Given that :

Mean (m) = 2.5

Variance = 0.36

Thw standard deviation = sqrt(variance) = sqrt(0.36) = 0.6

The probability of the random variable having a value less than 3 is obtained by:

P(x < 3)

Using the relation to obtain the standardized Zscore :

Z = (x - m) / s

Z = (3 - 2.5) / 0.6

Zscore = 0.8333333

p(Z < 0.833) = 0.79758 ( Z probability calculator)

Answer:

729

Step-by-step explanation:

9x9x9

Answer:

3^3/8^3

Step-by-step explanation:

because since there are 3 three's in 3/8, it will have to be 3^3 and since there are 8 three's, it will be 8^3. so the answer will be 3^3/8^3

The representation of the expression (3/8)x.(3/8)x.(3/8)x in terms of power is  [(3/8)x]³.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression (3/8)x.(3/8)x.(3/8)x.

= (3/8)×(3/8)×(3/8)×x×x×x.

= (3/8)³×x³.

= [(3/8)x]³.

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Answer:

See below.

Step-by-step explanation:

  Statements:                                              Reasons:

1) \(\angle 2\cong\angle 3\)                                                    Given

2) \(m\angle2=m\angle 3\)                                             Definition of Congruence

3) \(\angle 1\text{ and } \angle 2\text{ form a linear pair}\)                   Given

4) \(\angle 1 \text{ and } \angle 2\text{ are supplementary}\)                  Supplement Theorem

5) \(m\angle 1+m\angle 2=180^\circ\)                                 Definition of Supplementary Angles

6) \(m\angle 1+m\angle 3=180&^\circ\)                                 Substitution

7) \(\angle 1\text{ and } \angle 3 \text{ are supplementary}\)                 Definition of Supplementary

And we're done!

y=2/3x-4 is the equation of the line where 2/3 is the slope.

We have to find the equation of line which is passing through points (0, -4) and (3, -2).

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁.

Slope = -2+4/3-0

=2/3

Now let us find the y intercept.

-4=2/3(0)+b

b=-4

The equation of line is y=2/3x-4.

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Answer:

The answer is C and E.

Step-by-step explanation:

I just took the assignment and it is C and E.

The expression that represents the population after 5 decades is

100,000 x \(2^5\) or 100,000 x 2 x 2 x 2 x 2 x 2.

Options C and E is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

The population of the city = 100,000

Population doubles every decade.

This means,

Population after 1 decade.

= 100,000 x 2

= 200,000

Population after 2 decades.

= 200,000 x 2 x 2

= 800,000

We can write an expression for the population after x decade.

= 100,000 x \(2^x\)

The population after 5 decades.

= 100,000 x \(2^5\)
= 100,000 x 2 x 2 x 2 x 2 x 2

= 100,000 x 32

= 3200,000

Thus,

The expression is 100,000 x \(2^5\) or 100,000 x 2 x 2 x 2 x 2 x 2.

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Answer:

AB = 10.398

Step-by-step explanation:

By cosine rule, we have:

AB² = AC² + BC² - 2(AC)(BC)cos(ACB)

⇒ AB² = 7² + 10² - 2(7)(10)cos(73)

⇒ AB² = 49 + 100 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140(0.292)

⇒ AB² = 149 - 40.88

⇒ AB² = 108.12

⇒ AB = √(108.12)

⇒ AB = 10.398

0.738 is the probability the sample mean household.

How does sampling distribution work?

When selecting random samples from a particular population, statisticians create a probability distribution of that statistic, which is known as a sampling distribution.

                             It reflects the frequency distribution of how widely spaced different outcomes will be for a particular population and is also referred to as a finite-sample distribution.

we  have to determine P[ 2.5 < X < 2.66]

 μₓ = 2.58

 σₓ = σ/√n = 0.75/√110 = 0.07150969

= p[2.5 < x < 2.66]

 = P[X < 2.66] - P[X < 2.5]

 = P[ X - μₓ/σₓ  < 2.66 - 2.58/0.07150969] - P[ X - μₓ/σₓ  < 2.50 - 2.58/0.07150969]

   = P[ Z < 1.12] -P[Z< -1.12]

   = 0.8686 - 0.1314

  = 0.737

P[Z< 1.12] - P[Z < -1.12]

= 0.869 - 0.131

= 0.738

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The flying time 't' between city B and city A can be expressed as 

t=(5-x)hours.

Total flying time for a round trip between City A and City B = 5 hours

Let the flying time from City A and City B be x hours and the flying time from City B and City A be t hours.

So, the total time taken will be x+t hours.

As the time of going is not equal to the time of returning due to the jet stream, so t≠x.

This expression representing the flying time for a round trip is:

5=x+t

t=5-x

Therefore, the expression representing the flying time 't' between city b and city is  t=(5-x) hours.

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The explicit rule for the geometric sequence 29.7,9.9,3.3,1.1, are as follows,

Here the first term is considered as, a1, is 29.7.

Explicit formulas are used to represent all the terms of the geometric sequence with a single formula.

\(t_{n} = ar^{n-1}\)

The common ratio to be considered as, r is 9.9/29.7 = 1/3.

So, the generic explicit rule is ...

\(a_{n} = a1r^{n-1}\)

By filling the above equation with the above given values you will get the explicit rule ...

So,

\(a_{n} = 29.7(1/3)^{n-1}\)

Hence the answer is  \(a_{n} = 29.7(1/3)^{n-1}\)

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Answer:

Step-by-step explanation:

\(\frac{1}{x}+\frac{1}{3x}=5\\\\\frac{1*3}{x*3}+\frac{1}{3x}=5\\\\\frac{3}{3x}+\frac{1}{3x}=5\\\\\frac{4}{3x}=5\\\\4=5*3x\\\\4=15x\\\\\frac{4}{15}=x\)

x = 4/15

\(\frac{3}{4}x=\frac{3}{4}*\frac{4}{15}\\\\=\frac{1}{5}\)

The vertex form of the quadratic equations in standard form are, respectively:

Case 9: y = 2 · (x + 2)² - 12

Case 10: y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11: y = 3 · (x - 4 / 3)² - 16 / 3

Case 12: y = - 3 · (x - 3)²

Case 13: y = (x - 4)² + 3

Case 14: y = (x - 1)² - 7

Case 15: y = (x + 3 / 2)² - 9 / 4

Case 16: 2 · (x + 1 / 4)² - 1 / 8

Case 17: y = 2 · (x - 3)² - 7

Case 18: y = - 2 · (x + 1)² + 10

In this problem we find ten cases of quadratic equation in standard form, whose vertex form can be found by a combination of algebra properties known as completing the square. Completing the square consists in simplifying a part of the quadratic equation into a power of a binomial.

The two forms are introduced below:

Standard form

y = a · x² + b · x + c

Where a, b, c are real coefficients.

Vertex form

y - k = C · (x - h)²

Where:

Now we proceed to determine the vertex form of each quadratic equation:

Case 9

y = 2 · x² + 4 · x - 4

y = 2 · (x² + 2 · x - 2)

y = 2 · (x² + 2 · x + 4) - 12

y = 2 · (x + 2)² - 12

Case 10

y = - (1 / 2) · x² - 3 · x + 3

y = - (1 / 2) · [x² + (3 / 2) · x - 3 / 2]

y = - (1 / 2) · [x² + (3 / 2) · x + 9 / 16] + (1 / 2) · (33 / 16)

y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11

y = 3 · x² - 8 · x

y = 3 · [x² - (8 / 3) · x]

y = 3 · [x² - (8 / 3) · x + 16 / 9] - 3 · (16 / 9)

y = 3 · (x - 4 / 3)² - 16 / 3

Case 12

y = - 3 · x² + 18 · x - 27

y = - 3 · (x² - 6 · x + 9)

y = - 3 · (x - 3)²

Case 13

y = x² - 8 · x + 19

y = (x² - 8 · x + 16) + 3

y = (x - 4)² + 3

Case 14

y = x² - 2 · x - 6

y = (x² - 2 · x + 1) - 7

y = (x - 1)² - 7

Case 15

y = x² + 3 · x

y = (x² + 3 · x + 9 / 4) - 9 / 4

y = (x + 3 / 2)² - 9 / 4

Case 16

y = 2 · x² + x

y = 2 · [x² + (1 / 2) · x]

y = 2 · [x² + (1 / 2) · x + 1 / 16] - 2 · (1 / 16)

y = 2 · (x + 1 / 4)² - 1 / 8

Case 17

y = 2 · x² - 12 · x + 11

y = 2 · (x² - 6 · x + 9) - 2 · (7 / 2)

y = 2 · (x - 3)² - 7

Case 18

y = - 2 · x² - 4 · x + 8

y = - 2 · (x² + 2 · x - 4)

y = - 2 · (x² + 2 · x + 1) + 2 · 5

y = - 2 · (x + 1)² + 10

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Answer:

who wins four tosses first is the winner.

possible cases-7 tosses, 6 tosses, 5 tosses, 4 tosses

We get cases of Win of Head first-4 tosses

All 4 must be Head

Number of ways = 1

5 tosses-5th must be Head  

there are 3 Head   out of 4  in  ⁴C₃ = 4 Ways

6 tosses-6th must be Head  

there are 3 Head  out of 5  in  ⁵C₃ = 10 Ways

7 tosses-7th must be Head  

there are 3 Head   out of 6  in  ⁶C₃ = 20 Ways

Cases of Head wins = 1+ 4 + 10 + 20  = 35

similarly cases when  Tails Wins = 35

Total Possible cases = 35 + 35 = 70

70 is total number of possible ways in which the bet can play out.

Step-by-step explanation:

I hope that this helps u out..

The expression of 602.16 dam in decimeters can be written as 60216 decimeter.

The concept that will be used in the calculation is conversion. to perform this conversion, it is important to note that 1 Decimeter (dm) is equal to 0.01 dekameter (dam).

Then, if 1dm = 0.01 dam

               Xdm     = 602.16 dam

Where x is the value in decimeter.

Then we can cross multiply as :

X= (602.16 dam * 1dm)/ 0.01 dam

= 60216 decimeter.

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Answer:

The 3rd one or C

Step-by-step explanation:

A       B

C      D

ten crore is answer for India system

Step-by-step explanation:

hundred million is answer for international system

Answer:

it 19.36

ynhbtgvfrdeg5t4fr

Answer:

Step-by-step explanation:

The figure (kite) is symmetric and covers half of the area of rectangle with sides 8 units aby 10 units

The area of the rectangle:

The area of the kite:

Split the kite into two triangles and calculate their area and add up

Triangle DCB has b = 8, h = 2 and has area:

Triangle DAB has b = 8, h = 8 and has area:

Total area:

Answer:

Step-by-step explanation:

area=(product of diagonals)/2=(10×8)/2=40 sq. units.

Answer:

6xpi = 18.8495559215

Step-by-step explanation:

to 2 dp 18.85

Answer:

18.8495559215

I think this is the ans

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

The equation of the parabola in vertex form is equal to the quadratic equation y - 1 = - (1 / 9) · (x + 2)².

Mathematically speaking, parabolae are represented by quadratic equations, there different forms of the equation of the parabola. In this case, we must use the vertex form, whose description is shown below:

y - k = C · (x - h)²

Where:

If we know that (x, y) = (- 5, 0) and (h, k) = (- 2, 1), then the equation of the parabola in vertex form is:

(0 - 1) = C · (- 5 + 2)²

- 1 = 9 · C

C = - 1 / 9

y - 1 = - (1 / 9) · (x + 2)²

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer: 5

Step-by-step explanation:

To solve this, we would have to divide 361.42 by 79.45. This will be:

= 361.42 / 79.45

= 4.549

We can see that 4.549, has 4 significant digits. By the time we round it off to 1 significant number, we would have 5.

Answer:

2nd table

Step-by-step explanation:

Answer:

y = 3/8

Step-by-step explanation:

Do 3/4 - 3/8 to get your answer.

3/4 - 3/8

6/8 - 3/8 = 3/8

So, y = 3/8

Answer:

3/8

Step-by-step explanation:

\(y + \frac{3}{8} = \frac{3}{4} \)

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

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

\( = > y = \frac{3}{8} (ans)\)

Answer:

\(\$1320\)

Step-by-step explanation:

Let \(x\) be the number of units of A

\(y\) be the number of units of B

For assembling we have

\(20x+25y\leq 3000\)

For packaging we have

\(10x+5y\leq 1200\)

Let profits earned be \(Z\) so

\(Z=10x+8y\)

We have the maximize the function.

Plotting the equations we can see that the intersection points are \((0,120),(100,40),(120,0)\)

In the question it is mentioned we have to sell both the products so \(x\) or \(y\) cannot be \(0\).

So, the point of maximiztion for the function would be \((100,40)\)

The maximum profit would be

\(Z=10\times 100+8\times 40\\\Rightarrow Z=1320\)

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.