what go in the empty spots

Answer:

( (√ a+ 1) − 2 ) ^2/a-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a-b)² = a²-2ab + b²

(a+b)(a-b)=a²-b²

[tex]\frac{\sqrt{a+1} -2}{\sqrt{a+1}+2}= \frac{(\sqrt{a+1}-2)(\sqrt{a+1}-2 )}{(\sqrt{a+1}+2 )(\sqrt{a+1}-2)}\\\\[/tex]

             [tex]=\frac{(\sqrt{a+1}-2 )^{2}}{(\sqrt{a+1} )^{2}-2^{2}}\\\\=\frac{(\sqrt{a+1})^ {2}-2*\sqrt{a+1}*2+2^{2} }{a+1-4}\\\\=\frac{a+1 - 4\sqrt{a+1}+4 }{a-3}\\\\=\frac{a+5-4\sqrt{a+1} }{a-3}[/tex]

Answer:

5 years

Step-by-step explanation:

To determine the number of years needed for the company to process a certain amount of milk, we use the given function which relates the number of years, x, and the gallons of milk, y. We simply substitute the number of gallons to y and solve for x.  

y = x^6 − 9x^4 + 70x^2

630 = x^6 − 9x^4 + 70x^2

Solving for x, we will have

x = 4.8866 years or approximately 5 years

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

c) 72

hope this helps!

please give brainiest<3

Answer:

72

Step-by-step explanation:

Substitution:

4^3 + 4 x 6 - 16

64+24-16=72

Answer:

Line AB

Step-by-step explanation:

The line is on crosses thru the exact points so its right.

Answer:

14

Step-by-step explanation:

Triangle=180

180-90 (RA) = 90

90-41= 39

(2x+11)=39

2x=28

x=14

Answer:

888

Step-by-step explanation:

Im pretty sure this is the answer, if helpful please mark me as brainiest :>

Answer:

being they all have the same amount of chances to be rolled on the same amount  i would say 40

Step-by-step explanation:

Answer:

No solution or none

Step-by-step explanation:

3x+y=18 equation 1

3x+y=16 equation 2

-3x-y=-18 multiply equation 1 by -1

0=-2 add above 2 equations

no solution or none

Answer:

answer is 230

Step-by-step explanation:

they need more than 800 so u take 800-571 which is 229 u then add one because u need at least one more than 800 which is 230.

Answer:

230.  

Step-by-step explanation:

You need more than 800 so you take 800 and talk away 71 which is 229, and then add 1 because you need at least one more than 800 , and you get an answer 230.  

Answer:

.094

Step-by-step explanation:

5/11 is .455

11 total marbles 5 are green

but thats the probability of just one draw

so .455 x .455 x .455 is .094 for three separate draws

Answer:

10/11

Step-by-step explanation:

35 stringed , 5 string and brass, 10 brass, 5 play neither string nor brass

P (A or B ) = students that play string or brass / total number of students = 35+5+10/ 35+5+10+5 = 50/55 = 10/11

Answer:

both 2 and -2

Step-by-step explanation:

Substitute 4 for r(x) on the given equation.

[tex]4=x^2[/tex]

[tex]\sqrt{4} =\sqrt{x^2}[/tex]

[tex]x=2[/tex]

[tex]x=-2[/tex]

Answer:

The reason why it isnt true is because you cannot combine exponents that have different bases.

Step-by-step explanation:

So, with the problem shown below, it is [tex]3^5*2^4[/tex]

This cannot be multiplied.

To get [tex]6^9[/tex], you would need 6^4*6^5

So basically, its like ths:

If two exponents have to same base, they can be added together. THis adds the exponents, but leaves the bases the same.

If two exponents have different bases, they cannot be added together. You would have to distrubute both the numbers exponents then multiply them together.

For instance, with [tex]3^5*2^4[/tex], you would have to make it 243+16

This would equal 259.

As we can see, [tex]6^9[/tex] is over 10 million, much bigger than this.

I hope this makes sense and helps!

Answer:

2 boys and 3 girls were selected for the finals.

There are 3 prizes, A, B, and C (assigned in order, I suppose) assigned randomly to the five contestants.

We want to find the probability that a boy wins the prize B.

So here we have two cases:

A girl wins the first prize, A, and a boy the prize B.

The probability that a girl wins the prize A is equal to the quotient between the number of girls and the total number of contestants, this is:

p = 3/5

Next, the probability that a boy wins the prize B, is equal to the quotient between the number of boys and the total number of contestants (that now is 4, because a girl already won prize A).

q = 2/4

The joint probability is:

P = p*q = (3/5)*(2/4) = 6/20 = 3/10

Now we have the other case, where a boy wins the prize A and the other boy wins prize B.

The probability that a boy wins prize A is equal to the quotient between the number of boys and the total number of contestants, this is:

p = 2/5

The probability that the other boy wins prize B is equal to the quotient between the remaining number of boys (1) and the total number of contestants (now 4), this is:

q = 1/4

The joint probability is:

P' = p*q = (2/5)*(1/4) = 2/20 = 1/10

The total probability is the sum of the probabilities for the two cases, this is:

Probability = 1/10 + 3/10 = 4/10

(note that because the prize C is assigned after prize B, its existence does not affect the probability for the previous event, as expected)

Answer:

A

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (- 1, - 1 ) ← solution → A

Answer:

The first answer. Negative infinity to positive infinity.

Step-by-step explanation:

As long as x is a real number, there will be a cube root

Answer:A

Step-by-step explanation:

Answer:

[tex]x=36[/tex]

Step-by-step explanation:

From the question we are told that:

 [tex]3+\frac{3}{4}x=30[/tex]

Therefore

Making x subject

 [tex]x=\frac{4}{3}(30-3)[/tex]

 [tex]x=\frac{4}{3}(27)[/tex]

 [tex]x=36[/tex]

Answer:

[tex]y=-x+16[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

y=x-9

Rewrite the equation

y=1x-9

Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-1x+b\\y=-x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-x+b[/tex]

Plug in the given point (7,9) and solve for b

[tex]9=-7+b[/tex]

Add 7 to both sides to isolate b

[tex]9+7=-7+b+7\\16=b[/tex]

Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:

[tex]y=-x+16[/tex]

I hope this helps!

Answer:

hypotenuse = 7.3

Step-by-step explanation:

here 7 and 2 are the legs og the right triangle .we should find hypotenuse.

let the legs of the right triangle be a nd b respectively . And c be hypotenuse

using pythagoras theorem to find hypotenuse

a^2 + b^2 = c^2

7^2 + 2^2 = c^2

49 + 4 = c^2

53 = c^2

[tex]\sqrt{53}[/tex] = c

7.28 = c

7.3 =c

Answer:

7.3

Step-by-step explanation:

[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]

Answer:

its 10 because chu papi munenu

Answer:

Perimeter of figure = 68 centimeter

Step-by-step explanation:

Given information:

Width of side = 12 centimeter

Length of side =  22 centimeter

Find:

Perimeter of figure

Computation:

Perimeter of rectangle = 2[l + b]

Perimeter of figure = 2[Width of side + Length of side ]

Perimeter of figure = 2[12 + 22]

Perimeter of figure = 2[34]

Perimeter of figure = 68 centimeter

Answer:

4.50+.75d=7.50+.65d

Step-by-step explanation:

Y=4.50+.75d equation 1

y=7.50+.65d equation 2

4.50+.75d=7.50+.65d sub value of y in equation 2 into equation 1

.10d=3.00 simplify equation

d=30

check answer by subbing 30 for d into each equation.

y=4.50+.75(30)

y=4.50+22.50

y=27

y=7.50+.65(30)

y=7.50+19.50

y=27

both equations equal so 30 is the correct distance for when Fast Rental equals Red Rent

Answer:

10 people can go to the amusement park

Step-by-step explanation:

363 - 5.50 = 357.5

357.5 / 35.75 = 10

Answer:

y = -2/3x - 11/3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

An array will have would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂. Note that there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:

32 x 1 = 32

2 x 16 = 32

4 x 8 = 32

8 x 4 = 32

16 x 2 = 32

1 x 32 = 32

There are 6 ways for Evan to create a array of 32 miniature cars.

~

Answer:

The fraction 53 9 is equivalent to 5 8 9.

Step-by-step explanation:

This fraction is a improper fraction once the absolute value of the top number or numerator (53) is greater than the absolute value of the bottom number or denomintor (9). So, the equivalent fraction is a mixed number which is made up of a whole number (5) and a proper fraction ( 8 9 ).

[tex]53 \frac{9}{10}[/tex]

53.9 can be split into 53 and .9

53 is the whole number

.9 is in the tenths place so it can be written out of 10: [tex]\frac{9}{10}[/tex]

It doesn't need to be simplified leaving us with 53 [tex]\frac{9}{10}[/tex]