If (-3) to the exponent of -5 = 1/x , what is the value of x? -243 -1/243 1/243 243

Answer:

the answer should be D

Step-by-step explanation:

:)

Answer:

3,7/6

Step-by-step explanation:

[tex](\sqrt{x^2-4x+3} )+(\sqrt{x^{2} -9} )-(\sqrt{4x^2-14x+6} )\\=(\sqrt{x^2-x-3x+3} )+(\sqrt{(x^2-3^2})-(\sqrt{4x^2-2x-12x+6})\\ =(\sqrt{x(x-1)-3(x-1)} )+\sqrt{(x+3)(x-3)}-\sqrt{2x(2x-1)-6(2x-1)} \\=\sqrt{(x-1)(x-3)}+\sqrt{(x+3)(x-3)} -\sqrt{2(2x-1)(x-3)} \\=\sqrt{x-3} (\sqrt{x-1} +\sqrt{x+3} -\sqrt{2(2x-1)} )\\[/tex]

[tex]\sqrt{x-3} =0~gives~x=3\\or~\sqrt{x-1} +\sqrt{x+3} -\sqrt{2(2x-1)} =0\\or~ \sqrt{x-1} +\sqrt{x+3} =\sqrt{2(2x-1)} \\squaring\\x-1+x+3+2\sqrt{x-1} \sqrt{x+3} =2(2x-1)\\2x+2+2\sqrt{(x-1)(x+3)} =4x-2\\2\sqrt{x^2-x+3x-3} =2x-4\\\sqrt{x^2+2x-3} =x-2\\again ~squaring\\x^2+2x-3=x^2-4x+4\\\\2x+4x=4+3\\6x=7\\x=\frac{7}{6}[/tex]

Answer:

The answer is option a

0.8

4/5 = 0.8

Hope this helps.

Answer:

[tex]\frac{8}{27}[/tex] is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.

Step-by-step explanation:

In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:

Red: The player pulls out a red tile first. This has a [tex]\frac{1}{9}[/tex] probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a [tex]\frac{6}{12}[/tex] probability attached to it. [tex]\frac{1}{9}[/tex] × [tex]\frac{6}{12}[/tex]=[tex]\frac{1}{18}[/tex] probability of happening.

Green: There is a [tex]\frac{5}{9}[/tex] probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be [tex]\frac{4}{12}[/tex]. [tex]\frac{5}{9}[/tex]×[tex]\frac{4}{12}[/tex]=[tex]\frac{5}{27}[/tex].

Blue: There is a [tex]\frac{3}{9}[/tex] probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is [tex]\frac{2}{12}[/tex] on its own, and them both being blue is  [tex]\frac{3}{9}[/tex]×[tex]\frac{2}{12}[/tex]=[tex]\frac{1}{18}[/tex]

Adding [tex]\frac{1}{18}[/tex]+[tex]\frac{1}{18}[/tex]+[tex]\frac{5}{27}[/tex] we get the answer [tex]\frac{8}{27}[/tex].

Answer:

A

Step-by-step explanation:

I had the same question for another person.

Answer:

The answer is option D

32 + (4c − 6c) + (2 + 6c)

c = 5

32 + ( 4(5) - 6(5)) + (2 + 6 (5)

= 32 + (20 - 30) + ( 2 + 30)

= 32 - 10 + 32

= 54

Hope this helps

Answer:

D. 54

Step-by-step explanation:

32 + (4c - 6c) + (2 + 6c)

Put c as 5 and evaluate.

32 + 4(5) - 6(5) + 2 + 6(5)

Multiply the terms.

32 + 20 - 30 + 2 + 30

Add or subtract the terms.

32 - 10 + 2 + 30

22 + 32

= 54

Answer:

The shorter side: longer side is 385:512

Step-by-step explanation:

We are given that A man has 166 feet of fencing to build the pen

We are supposed to find If one end is a square, find the outside dimensions, if a = 6.

Side of square = x

Perimeter of square =[tex]4 \times side = 4x[/tex]

a=6

Length of rectangular part = x+a = x+6

Breadth of rectangular part = x

Perimeter of rectangular part = 2(l+b)=2(x+6+x)=2(2x+6)

So, ATQ

4x+2(2x+6)=166

4x+4x+12=166

8x=154

x=19.25

Shorter side = 19.25

Longer side = x+6=19.25+6=25.6

So, the shorter side: longer side =[tex]\frac{19.25}{25.6}=\frac{385}{512}=385:512[/tex]

Hence the shorter side: longer side is 385:512

Answer:

=3^x +12x -4

Step-by-step explanation:

f(x)=3^x+10x

g(x)= 2x-4,

(f+g)(x) =  3^x+10x+ 2x-4,

Combine like terms

            =3^x +12x -4

Answer:

6.3

Step-by-step explanation: Divide 7 by 10 and get .7 then you would multiply that by 9 and youll get 6.3

Answer:

B have 5 more cranes than Ava.

Step-by-step explanation:

As per question statement:

Number of cranes with Ava = 100

Number of cranes with B = [tex]\frac{3}{4}[/tex] of the paper cranes that Ava has

[tex]\therefore[/tex] Number of cranes with B = [tex]\frac{3}{4}\times 100 =75[/tex]

Now, let us proceed step by step.

Step 1: Ava gave [tex]\frac{9}{20}[/tex] of her cranes to B:

i.e. [tex]\frac{9}{20} \times 100 = 5 \times 9 =45[/tex] cranes given to B

Now, number of cranes with Ava = 100 - 45 = 55

Number of cranes with B = 75 + 45 = 120

Step 2: B gave [tex]\frac{1}{4}[/tex] of her paper cranes to Ava:

i.e. [tex]\frac{1}{4} \times 120 = 30[/tex] cranes given to B

Now, number of cranes with Ava = 55 + 30 = 85

Number of cranes left with B =  120 - 30 = 90

So, the answer is:

Number of cranes that B have more than that of Ava = 90 - 85 = 5

Answer:

Horizontally moved left by 2 units

Vertically moved up by 6 units

Step-by-step explanation:

Parent Function Transformations: [tex]f(x) = a(x - c)^4 + k[/tex]

a is denoted as vertical shrink or stretch

c is denoted as horizontal movement

k is denoted as vertical movement

Answer:

B

Step-by-step explanation:

In B, the oranges is always 3 times the cups of juice. So it always follows the ratio 3:1.

Answer:

-14xy^2+6x^2y

Step-by-step explanation:

Hope this helps at least

Answer:-14xy^(2)+6x^(2)y

Answer:

$0.24

Step-by-step explanation:

7.68/32=0.24

There are 32 cups per 2 gallons. The total cost for 2 gallons is 7.68

Answer: -11/2

Step-by-step explanation:

First, find the reciprocal of -16/121. Which is -121/16 (you can put the negative sign anywhere). Now, you must multiply the two fractions:

[tex]\frac{8}{11} *-\frac{121}{16}[/tex]      

You can cross out the terms 8 and 16 because they can be simplified into 1 and 2. And you can cross out 11 and -121 because they can be simplified into 1 and -11:

= [tex]\frac{1}{1} * -\frac{11}{2}[/tex]

Now multiply the numerators together, and multiply the denominators:

= [tex]-\frac{11}{2}[/tex]

Answer:

[tex]7/12[/tex]

Step-by-step explanation:

[tex]3/8=0.375[/tex]

[tex]5/10=0.5[/tex]

[tex]7/12 \approx 0.58333333333[/tex]

[tex]6/14 \approx 0.42857142857[/tex]

Therefore, 7/12 is the closest to 1 than 0.

Answer:

a. 1

b. 2.

Step-by-step explanation:

a) There are a total of 10 numbers so we have:

4 * 10 = 3+5+6+8+9+2+1+0+5+x

40 = 39 + x

x = 1.

b) 5*6 = 28 + x

x = 2.

Answer:

Because the dashed triangle is smaller than the original it's a reduction. The scale factor is 1/3 because if we look at the altitudes of the triangle, the original is 6 and the dilated is 2 and 2 / 6 = 1 / 3.

Answer:

Plot[-1 + 3^Surd[x, 3], {x, -20, 28}]

Answer:

A

Step-by-step explanation:

In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.

Answer:

No, it fails the vertical line test

Step-by-step explanation:

This is not a function.  It does not have a one to one correspondence.  There are x values that have more than one y value.  It fails the vertical line test

Answer:

p = 8

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₉ = 4 + 5p and d = 5, then

a₁ + 8d = 4 + 5p, that is

a₁ + 8(5) = 4 + 5p

a₁ + 40 = 4 + 5p ( subtract 40 from both sides )

a₁ = 5p - 36

a₂ = 5p - 36 + 5 = 5p - 31

a₃ = 5p - 31 + 5 = 5p - 26

a₄ = 5p - 26 + 5 = 5p - 21

Given that the sum of the first 4 terms = 7p - 10, then

5p - 36 + 5p - 31 + 5p - 26 + 5p - 21 = 7p - 10, that is

20p - 114 = 7p - 10 ( subtract 7p from both sides )

13p - 114 = - 10 ( add 114 to both sides )

13p = 104 ( divide both sides by 13 )

p = 8

Answer:

71.7

Step-by-step explanation:

If you draw out a picture and visualize it, you will be able to see that you need to use inverse cosine to solve this. Plug in cos^-1 (2.2/7) and you will get 71.7 as your answer.

Answer:

71.7 degrees

Step-by-step explanation:

Answer:

6km

Step-by-step explanation:

==>Given:

Map scale = 1 : 200,000

Distance on map between the park and the theatre = 3cm

==>Required:

Real life distance between the town and the theatre in km

==>Solution:

Note: the map scale given means 1cm on the map represents 200,000 cm in real life.

For a map distance of 3 cm between the town and the theatre, the real life distance would be:

3 × 200,000 = 600,000 cm

=>Convert to km

Thus, 100,000cm = 1km

Therefore, 600,000cm = 6km

Real life distance between the town and the theatre = 6km

Answer:

7y = -4x + 8

Step-by-step explanation:

slope = -4/7

0 = -4/7(2) + b

b = 8/7

y = -4/7x + 8/7 or 7y = -4x + 8

Answer:

Ok, supongamos que dividimos la torta en X partes iguales (X puede ser cualquier numero natural).

Entonces vamos a tener X porciones.

Si comemos n porciones (tal que n puede ser un numero entre 0 y X, si n = 0 significa que comimos 0 porciones, si n = X significa que comimos todas las porciones).

Ahora, X porciones es el 100% de la torta, entonces el porcentaje de la torta que comimos es:

P = (n/X)*100%.

si n = 0, comimos un 0% de la torta

si n = X, comimos un 100% de la torta.

Answer:

(0, -2).

Step-by-step explanation:

CD will be parallel to AB because we have a parallelogram.

Counting squares from A to B it is 'one down and 5 to the right'.

Therefore point D will be 'one up and 5 to the left' from point C.

This makes D  equal to (0, -2).

Answer:

y= 4 is correct

Step-by-step explanation:

Answer:

[tex]P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}[/tex]

Possible values of x: Any from 0 to 5.

[tex]P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807[/tex]

[tex]P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015[/tex]

[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087[/tex]

[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323[/tex]

[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835[/tex]

[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243[/tex]

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this question:

[tex]n = 5, p = 0.3, q = 1 - p = 0.7[/tex]

So

[tex]P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}[/tex]

Possible values of x: 5 trials, so any value from 0 to 5.

For each value of x calculate p(☓ =x)

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807[/tex]

[tex]P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015[/tex]

[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087[/tex]

[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323[/tex]

[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835[/tex]

[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243[/tex]

Answer:

18

Step-by-step explanation:

Alright so here you have to work backwards. the volume of a cylinder is pi*r^2*h.

Your equation: 486 pi = pi*r^2*6

You know the height is 6 feet, so you can get rid of the 6 feet hanging off of your equation by dividing both sides by 6:

81 pi = pi*r^2

Now you notice that both sides have pi. You can eliminate it by dividing both sides by pi:

81 = r^2

To isolate the r, radius, you have to take the square root of both sides, since a square root is the inverse operation of squaring. You get:

9 = r

Now that you have the radius, you can find the diameter by multiplying the radius by 2, because a diameter = 2 * the radius:

18 = d

Hope this helps!

Answer:

[tex] \tan(a) = \frac{28}{45} [/tex]

look from the tan A angle , the opposite is 28 and adjacent is 45