What's the value f x?
[tex]5x-6=3x-8[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use section formula ~

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{mx_2 + nx_1}{m + n} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{my_2 + ny_1}{m + n} [/tex]

And since mid point divides a line segment Into two equal parts, m : n = 1 : 1

so, take m = n = 1

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{(1 \times - 1)+(1 \times - 2)}{ 1+ 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{- 1- 2}{ 2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ - 3}{ 2} [/tex]

Now, let's find y - coordinate ~

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{(1 \times - 5) + (1 \times - 4)}{1 + 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{ - 5 - 4}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{ - 9}{2} [/tex]

So, coordinates of midpoint is ~

[tex]\qquad \sf  \dashrightarrow \:( - \dfrac{3}{2} ,- \dfrac{9}{2} )[/tex]

[tex]\qquad\qquad\huge \: \sf Answer[/tex]

Number of people who prefer crabs are :

[tex] \\qquad \tt \dashrightarrow \:{30\% \:\: of \:\: 140} [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{30}{100} \times 140 [/tex]

[tex]\qquad \tt \dashrightarrow \:3 \times 14[/tex]

[tex]\qquad \tt \dashrightarrow \:42 \: \: people[/tex]

5 feet is the greatest distance that a person could be from the lamp and be detected.

A circle is defined as round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).

Since we have given that

The equation is :

[tex](x+15)^2+(y-12)^2=25[/tex]

It is the equation of circle in which center is (h,k) i.e. ( 15,12)

The general equation of circle is given by

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here, the radius 'r' is given by

[tex]r^2=25[/tex]

[tex]r=\sqrt{25[/tex]

[tex]r=5[/tex]

Here, the greatest distance a person could be from the lamp and be detected is represented by radius i.e. r = 5 feet.

Hence, 5 feet is the greatest distance that a person could be from the lamp and be detected.

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Answer:

70.38 cm

Step-by-step explanation:

π = 3.14

Area of a circle = πr^2

394.38 = πr^2

125.598726 = r^2

r = 11.2070837 cm

Circumference = 2πr

C = 70.3804856 cm

Answer:

A , B And D

2/4 divide both numbers by to and you get 1/2

3/6 divide both numbers by 3 and you get 1/2

4/8 divide both numbers by 4 and you get 1/2

Answer:

8cm

explanation:

let radius of circle be r

area of circle = 64π cm^2

π×r^2=64π

r^2=64 (cancel out π from both side)

r=√64 ( square root both side to remove the power from r)

r=8 cm

Answer:

the first one is 0.2222222222... the second is 0.14

6 : 27

Fraction : [tex]\frac{6}{27} = \frac{2}{9}[/tex]
Decimals : 0.(2) = 0.222222222222....
Percentage : 22.2222...%

7 : 50

Fraction : [tex]\frac{7}{50}[/tex]
Decimals : 0.14
Percentage : 14%

Answer:

See below ~

Step-by-step explanation:

Converting a decimal to a fraction :

A. (0.47)

B. (-0.47)

C. (0.--47)

Answer:

Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100

Step-by-step explanation:

Step 1:  Determine 0.47 as a fraction

0.47 can also be expressed as 47% which means that there is 47/100.  We can see that there is no way that we can simplify the fraction even more so that is our final answer.

Step 2:  Determine -0.47 as a fraction

0.47 can also be expressed as -47/100.  We can see that there is no way that we can simplify the fraction even more so that is our final answer.

Step 3:  Determine --0.47 as a fraction

Two negatives (-), means that they cancel out and cause a positive (+).  For example, -1 * -1 gives us 1.  Therefore it would just be like the first one which is 47/100.

Answer: Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100

The absolute maximum of n(x) = 1 - 2 · cos 2x, whose first derivative is n(0) = 0, exists at x = 0.5π on (0, 2π]. The value of the absolute maximum is 3.

A function is differentiable in a given interval if and only if its derivative exists for every value of the interval. To determine the absolute maximum of n(x), we need to integrate the given function, apply first derivative and second derivative test and finally evaluate n(x).

First, we integrate n'(x) in terms of x:

n(x) = 2 ∫ sin 2x dx = 2 · (- 0.5 · cos 2x) + C = - cos 2x + C

- cos 0 + C = 0

C = 1

Then, n(x) = 1 - 2 · cos 2x.

Now we proceed to apply first and second derivative tests:

2 · sin 2x = 0

sin 2x = 0

2 · x = sin⁻¹ 0

2 · x = π ∨ 2π

x = 0.5π ∨ π

n''(x) = 4 · cos 2x

n''(π) = 4 · cos 2π

n''(π) = 4

There is an absolute minimum for x = π. [tex]\blacksquare[/tex]

n''(0.5π) = 4 · cos π

n''(0.5π) = - 4

There is an absolute maximum for x = 0.5π. [tex]\blacksquare[/tex]

Finally, we evaluate n(x) for x = 0.5π to determine the absolute maximum:

n(0.5π) = 1 - 2 · cos π

n(0.5π) = 3

The absolute maximum of n(x) = 1 - 2 · cos 2x, whose first derivative is n(0) = 0, exists at x = 0.5π on (0, 2π]. The value of the absolute maximum is 3. [tex]\blacksquare[/tex]

The statement of the question is poorly formatted and reports several mistakes, correct form is introduced below:

If n'(x) = 2 · sin 2x and n(0) = 0. What is the absolute maximum of n(x) on (0, 2π]?

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12 + 5 = P + 360° - (90° x 2)

17 = 360°P - 180°

17 = 180° => P = 180° - 90° = 90° => P - 5 = P + (5 + 12) => P = 14 in <90 5 CM Angle, P = 14 - 1 = 13 without offset

13

Answer:

40.84

Step-by-step explanation:

5cm^2 +25cm^2=169

sqaure root of 169 =13

13= diameter

6.5= radius

2 pie r = circumference

6.5x2 pie = 40.84

Answer:

[tex]328units^2[/tex]

Step-by-step explanation:

First off,  I do want to say that you could word this more easily.

98 is the perimeter. length is 41. width is 8.

the area is length*width for rectangles.

98-41=57

57-41=16

16/2=8

8*41=328 units^2

n this world, no one can survive alone. Team up with friends to fend off countless waves of zombies, fight bosses, earn coins, level up, and buy new towers! If you're feeling up for a challenge, try taking on harder bosses on harder difficulties!

Answer:B

Step-by-step explanation: it is the average of all the data and can be different from the collection

Answer:

C

Step-by-step explanation:

A. The mean can be one of the other data values but is usually not

B. The Mean can be different than the other values

C. The mean can not be bigger than the biggest number or less than the smallest number.

D. The mean can be the same value as the median.

hopefully you get the correct answer (:

The correct option C which is true for the given form of the sine curve f(x) = –2sin(x) – 3.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The general form of the sine curve is given as

f(x) = –2sin(x) – 3

A.

Since this curve's A is -2, its amplitude is 2 and its range is from -2 to 2. but since the D value is -3, it shifts vertically 3 units down making the range from -1 to -5. Choice A is not true.

B.

This graph is the graph of shifted 3 units down since D is negative. This choice isn't true.

C.

Because of the (minus) sign in front of the function, the function is reflected on the x-axis, but the amplitude doesn't change. Since A value is 2, the amplitude is 2. This is true.

D.

The period depends on the B value. Here, the B value is 1, so the period is normal as the parent function of a sine curve, which is, not. So this is not correct.

Therefore, C is the correct answer.

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Answer: C. The amplitude of the function is 2.

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

cheerleaders =1

football team members=2

2+1=3

football team members= 480 ×2/3

=320

Using it's concept, it is found that his net worth is given by:

C) $1,052,662

It is given by the sum of the individual assets subtracted by the sum of it's liabilities.

In this problem:

Hence, his net worth is given by:

Net worth = $1,233,000 - $180,338 = $1,052,662.

Which means that option C is correct.

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Answer:

Given,

a x 60 = b

or

b = a x 60

Similarly, the value of a would be:

We need to find

Therefore, we have to put the either values of a and b in the specified equation:

Hence,

We have only put the value of one variable to evaluate or to make it variable free

or

Therefore, the value of 4b/a​ is 240.

To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We're given:

Plug these given points into the formula for distance:

[tex]d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47[/tex]

Therefore, the radius of the circle is [tex]\sqrt{20}[/tex] units, or approximately 4.47 units.

Answer:

6) 152.6

7) 348.4

Step-by-step explanation:

For question number 6, calculate the surface area of the two triangles first. And then, calculate each of the surface area for the rectangles. Finally, total up the area of the two triangles and the rectangles.

[tex](6.6 \times 9) + (4 \times 9) + (5.2 \times 9) \times (\frac{1}{2} \times 5.2 \times 4) = 152.6[/tex]

For question number 7, given that the area of a triangle is 28.4. Hence calculate the area of the three rectangles. Lastly, total up the area of two triangles and three rectangles.

[tex]28.4 + 28.4 + 3(12 \times 8.1) = 348.4[/tex]

Hope this helps =)

Answer:

-1/3

Step-by-step explanation:

Multiply by root 3 on the top and bottom. Root 3 times root 3 is 3. 2-3 is -1.

Answer:

267.95

Step-by-step explanation:

Sphere Volume = 4/3 π r³

= 4/3 × 3.14 × 4³

= 803.84/3

= 267.94666...

= 267.95

Answer:

i think it would be 1550?

Step-by-step explanation:

im pretty sure you add teh weight of the three people and convert it to one ton

Answer:

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Correct option is C)

Matches played between 8 teams =7+6+5+4+3+2+1=21

The number of ways that can 1st and 2nd place be awarded at the end of tournament is 56.

A permutation is an arrangement of objects in a definite order. The members of elements of sets are arranged here in a sequence where order matters.

According to the given question

we have  to find,

Number of ways  for 1st and 2nd place can be awarded

Number of ways for 1st place be awarded  = 8

Number of ways for 2nd place be awarded = 7

Therefore,

The total number of ways can 1st and 2nd place be awarded = (8)×(7)

=56.

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Using it's concept, it is found that the probability of randomly choosing a number either divisible by 5 or divisible by 3 is given by:

B) 7/16

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Hence the probability is given by:

p = 14/32 = 7/16.

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Answer:

[tex] \frac{x + 2}{x {}^{3} + 8} [/tex]

Step-by-step explanation:

[tex] \frac{ \frac{1}{x} + \frac{2}{x {}^{2} } }{x + \frac{8}{x {}^{2} } } [/tex]

[tex] \frac{ \frac{x + 2}{x {}^{2} } }{ \frac{x {}^{3} + 8 }{x {}^{2} } } [/tex]

[tex] \frac{x + 2}{x {}^{3} + 8 } [/tex]

Answer:

find the ratio of 15 min and 1hiyr