Find the numerator of the following sum in its simplest form?
1/2+3/4+5/6+...+511/512=

Answer:

A -3

Step-by-step explanation:

-2 x -3 = 6

6 x -3 = -18

-18x -3 = 54

Answer:

5040 possible arrangements

Step-by-step explanation:

Given

[tex]Trophies = 7[/tex]

Required

Possible arrangements

The 1st can be placed in any 7 positions

The 2nd, in 6 positions

-----

--

-

Up till the last in 1 position

So, the number of arrangements is:

[tex]Arrangements = 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]

[tex]Arrangements = 5040\ ways[/tex]

Answer:

1.70 of tax is paid

Step-by-step explanation:

34(1+0.05) = 35.7

35.7-34= 1.70

1 represents out 100%

do 5% in decimal form which is 0.05

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Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

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42 is your answer

Answer:

let no be x

10% of x=12

x=1200/10=120

again

45% of x=54

x=5400/45=120

here

35% of 120=35/100×120=42

Answer:

d) sqrt a^6 × a

Step-by-step explanation:

sqrt a^6 × a

= a× a =a

6+ 1 = 7

= sqrt a^7

Answer: 2/21

Step-by-step explanation:

5[5y -6] = 4[y -7]

We first need to open the bracket to be able to solve the question

25y - 30 = 4y - 28

Collect like terms

25y - 4y = -28 + 30

21y = 2.

y = 2/21

Therefore, the value for y is 2/21.

Answer:

12.5y/x

Step-by-step explanation:

125y²/10xy​ = 12.5y/x

Answer:

no ):(

Step-by-step explanation:

Answer:

1. r ≈ 6.5in

2. 132

Step-by-step explanation:

1. A=πr2

Solving for r

r=A

π=132.7

π≈6.49921 in

2. = 120°/ 360° x 22/7 x 6²

= 1/3 x 22/7 x 6 x 6

= 22 x 6 x 6 / 7 x 3

= 22 x 6

= 462

Answer:

The volume is 2.4

Answer:

2.4 cm

Step-by-step explanation:

Length× Width × Height

[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{36}{15}[/tex]

[tex]\frac{36}{15} = \frac{12}{5}[/tex]

12÷5= 2.4

Answer: B. 40

Step-by-step explanation:

We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40

Answer:

a) 20 feet

Step-by-step explanation:

8ft shadow - 5ft

32ft shadow - [tex]\frac{32}{8}[/tex] × 5ft = 20ft

Answer:

A

Step-by-step explanation:

Ratio from shadow to object

8:5

Given Shadow of tree = 32ft, (8x4)

Height of Tree = 5x4 = 20ft

A

Answer:

x=-5

y=-2

Step-by-step explanation:

equation 1 - equation 2

(2x-4y=-2) - (2x+3y=-16) = (-7y=14)

y=14/-7=-2

then substitute y=-2 into any equation

2x-4(-2)=-2

2x+8=-2

2x=-10

x=-10/2=-5

Answer:

4y

Step-by-step explanation:

Answer and Step-by-step explanation:

f(n) = 45 - 4(n - 1)

This is the explicit formula for the sequence.

45 is the initial amount, which is why it is by itself.

The change in the sequence is take away 4, so this becomes a negative 4, which is then multiplied by (n - 1), where n is the term in the sequence.

#teamtrees #PAW (Plant And Water)

Answer:

The missing number in the sequence is 20

Step-by-step explanation:

The difference between the numbers are as follows: 3,4,5,6,7

The missing number of the given sequence is 13.

The given sequence is,

2, 5, 9, 14, 27

We can see that the difference between each consecutive number is increasing.

The difference between 2 and 5 is 3,

The difference between 5 and 9 is 4,

The difference between 9 and 14 is 5,

And the difference between 14 and 27 is 13.

Therefore, it's possible that the next number in the sequence could have a difference of 14 or more.

So,

To determine the missing number,

We can look at the pattern of the differences between the numbers in the sequence.

Since the difference between 14 and 27 is 13,

We can assume that the difference between the missing number and 27 is at least 14.

Therefore, we can subtract 14 from 27 to get our missing number, which is 13.

To learn more about sequence visit:

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Answer:

3 and 4

36 and 48

Step-by-step explanation:

you got the 1 wrong

should be 5 and 4

20 and 16

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

Answer:

Step-by-step explanation:

Cos ∅ = [tex]\frac{Adjacent side}{Hypotenuse}[/tex]

Cos 48° =[tex]\frac{38}{x}[/tex]

0.67 = [tex]\frac{38}{x}[/tex]

0.67*x = 38

x = [tex]\frac{38}{0.67}[/tex]

x = 56.71

x = 56.7

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

Answer:

7) sin 60° = 25√3/Z

0.8660 = 25√3/Z

Z = 50

8) using the Pythagorean theorem:

50² = (25√3)² + y²

2500 = 1875 + y²

y² = 625

y = 25

Answer:

z = 50

y = 25

Step-by-step explanation:

Using the 30, 60, 90 triangle rule

you can figure this out.

The rule says

With a 30, 60, 90 triangle

Given the shorter leg, (side across the 30 degree angle,

To find longer leg (side across the 60 degree angle):

Multiple shorter leg by radical 3.

To find hypotenuse (side across the 90 degree angle):

Multiple shorter leg by 2.

Thus

Shorter leg (side opposite 30 degree): 25

Longer leg (side opposite 60 degree):

25 radical 3

Hypotenuse(side opposite 90 degree): 50

Answer:

[tex]x = 32 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k first.

When y= 35, x= 14,

[tex]35 = \frac{k}{14} [/tex]

k= 14(35)

k= 490

Substitute the value of k into the equation:

[tex]y = \frac{490}{x} [/tex]

When y= 15,

[tex]15 = \frac{490}{x} [/tex]

15x= 490

x= 490 ÷15

[tex]x = 32 \frac{2}{3} [/tex]

Answer:

2/3x-10

Step-by-step explanation:

y=mx+b

y=2/3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(6,-6). When x of the line is 6, y of the line must be -6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 2/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (6,-6).

So, why not plug in for x the number 6 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(6,-6). y=mx+b or -6=2/3 × 6+b, or solving for b: b=-6-(2/3)(6). b=-10.

so, y=2/3x-10

- 17 woule be the correct answer for the equation being simplified

Answer:

For edge

Step-by-step explanation:

The first one is -3

The second one is -6

The last one is -17

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E\: N}}} } : [/tex]

✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: \: F\: I\: N\: D}}}}: [/tex]

✧ [tex] \underline{ \underline{ \large{ \tt{S \:O \: L \: U \: T \: I \: O \: N}}}} : [/tex]

❀ [tex] \large{ \text{When \: x = 2 ,\: f}(2) = 2 \tt{ \times 2 - 6}}[/tex]

⟼ [tex] \large{ \text{f(2) = 4 - 6 = \boxed{ \large{ \text{ - 2}}}}}[/tex]

♨ [tex] \boxed{ \boxed{ \large{ \text{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bold{ \text{ - 2}}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer! ☄

☃ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

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Answer:

x=±√(-66)

(there is no real solution)

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

This is the answer. Hope it helps

Step-by-step explanation:

3/25<22/25

Step-by-step explanation:

a) First we will convert 150km/hr to m/s.

[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]

=2500m/s, which is the initial speed of the plane.

b)Final Speed of plane = Speed when it stopped.

= 0m/s.

c)Time taken to stop = 3 seconds.

d)Using the kinematic equation,

v = u + at,

where v = Final Speed = 0m/s

u = Initial Speed = 2500m/s

a = acceleration

t = time taken = 3 seconds

Substitute v, u and t to find a.

[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]

Answer:

[tex] \frac{1}{ {12}^{3} }[/tex]

Step-by-step explanation:

[tex] {12}^{ - 3} = \frac{1}{ {12}^{3} } \\ [/tex]