One hundred rats are being trained to run through a maze and are rewarded when they run through it correctly. Once a rat successfully runs the​ maze, it continues to run the maze correctly in all subsequent trials. The number of rats that run the maze incorrectly after t attempts is given approximately by Find the number of trials required such that only ​% of the rats are running the maze incorrectly. Round to the nearest trial.

Answer: -16/3

Step-by-step explanation:

[tex]3(x - 2) + 4x = 10(x + 1)\\3x - 2(3) + 4x = 10x +1(10)\\3x - 6 + 4x = 10x + 10\\7x - 6 = 10x + 10\\7x - 10x = 10 + 6\\-3x = 16\\x = \frac{16}{-3} =-\frac{16}{3}[/tex]

Answer:

-16/3

Step-by-step explanation:

3(x – 2) + 4x = 10(x + 1)

Step 1 distribute the 3 to the x and -2

Outcome: 3x - 6 + 4x = 10(x + 1)

Step 2 distribute the 10 to the x and 1

Outcome: 3x - 6 + 4x = 10x + 10

Step 3 combine like terms

Outcome: 7x - 6 = 10x + 10

Step 4 add 6 to both sides

Outcome: 7x = 10x + 16

Step 5 subtract 10x from both sides

Outcome: -3x = 16

Step 6 divide both sides by -3

Outcome: x = -16/3

Answer:

In picture

Step-by-step explanation:

Brainliest please~

[tex](0,3)[/tex] and [tex](1,-2)[/tex]

Equation: (refer the image below)

Slope:

[tex]m=\frac{3+2}{0-1}[/tex]

[tex]m=-5[/tex]

Equation:

[tex]y=5x-b[/tex]

[tex]3=b[/tex]

Substitute (0,3)

Point: [tex](1,-2)[/tex]

Answer:

7/9

Step-by-step explanation:

2/9+5/9=7/9

Answer:

a^2 -25

Step-by-step explanation:

5a-25 + a^2 - 5a

a^2 - 25

Step 1: Distribute

5x + 10 - 3x > 7 - 4x + 12

Step 2: Combine like terms

2x + 10 > -4x + 19

Step 3: Move all variable terms to one side, and all constants to the other

6x + 10 > 19

6x > 9

Step 4: Divide

x > 9 / 6

x > 1.5

Hope this helps!

Answer:

B) 5

Step-by-step explanation:

We are given the function:

[tex]f(x)=x(x+3)[/tex]

We are given that f(a) = 40 and a > 0 and we want to determine the value of a.

Substitute:

[tex]f(a)=40=a(a+3)[/tex]

Distribute:

[tex]a^2+3a=40[/tex]

Subtract 40 from both sides:

[tex]a^2+3a-40=0[/tex]

We can factor using 8 and -5. Hence:

[tex](a+8)(a-5)=0[/tex]

By the Zero Product Property:

[tex]a+8=0\text{ or } a-5=0[/tex]

Solve for each case:

[tex]\displaystyle a=-8\text{ or } a=5[/tex]

Since a > 0, we can eliminate the first solution. Hence:

[tex]a=5[/tex]

Our answer is B.

2 fewer than the quotient of a and 5

(x/5)-2

Answer:

addition one is: (1/2) + 5x - (1/2)= 8 - (1/2)

muliplcation one is: (4x)(1/4)=(3) (1/4)

subtracting one is: 3x-4+4=12+4

division one is: 55/11 = 11x/11

Step-by-step explanation:

Hope this helps and good luck :)))

Answer:

60

Step-by-step explanation:

180-100 = 80

80-20 = 60

Answer:

Area=7850 cm

Step-by-step explanation:

Since the formula for area is A=c(radius squared), we need to plug in the radius first. 50x50=2500. We can identify 'pi' as 3.14 and use that decimal instead of a longer one. The product of 2500 and 3.14 is 7850. Therefore, your answer is 7850 cm

Answer:

x =48.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hypotenuse

sin x = 54 /72

Taking the inverse sin of each side

sin ^ -1( sin x) =sin ^-1 ( 54/72)

x = 48.59037789

To the nearest tenth

x =48.6

Answer:36.9

Step-by-step explanation:

Answer: B. Square

Step-by-step explanation:

The answer is B.), because if you have two pairs of parallel sides that means it looks like a square 1. || 2. _

                                                            _

- Chilio

Answer:

what are the answer choice?

Step-by-step explanation:

Answer:

$49 and $65 are the choices you should check. These prices are greater than $45.

Step-by-step explanation:

It is given that the store buys items at a wholesale price of $45 each. If the store marks up the price, and no discounts are given, then that would mean that the store sells the store has to sell at a price greater than the buying price which is $45.

Out of the given options, only two options have a selling price which is greater than $45. These are the last and the second last options. Thus the fourth and the fifth options are applicable and hence they are to be checked.

Answer:

-x²-2x+3

Step-by-step explanation:

The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)

Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it

writing this in vertex form we get

-a(x+1)²+4

Where a is some constant

solve for a by plugging in (0,3)

3= -a(0+1)²+4

3= -a+4

-1= -a

a=1

therefore the equation looks like

-(x+1)²+4

expanding this so that it's in stantard form...

-(x²+x+x+1)+4

-x²-2x+3

which is the final answer

Answer:

There might be 31 or 32

Step-by-step explanation:

I would have a better answer if i knew the probability of the blue marbles being chosen srry.

Answer:

h(n) = - 5.3 [tex](-11)^{n-1}[/tex]

Step-by-step explanation:

This is a geometric sequence with explicit formula

h(n) = h(1) [tex](r)^{n-1}[/tex]

where h(1) is the first term and r the common ratio

Here h(1) = - 5.3 and r = - 11 , then

h(n) = - 5.3 [tex](-11)^{n-1}[/tex]

Answer:

x-3y=-14

Step-by-step explanation:

Slope = (5-6)/(1-4) = -1/-3 = 1/3

y-intercept is,

b=6-1/3×4 = 14/3

so the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

Answered by GAUTHMATH

Standard form the equation of the line passing through the given points is x-3y=-14

Statement of equality between two expressions consisting of variables and/or numbers

Given points are: G(4, 6), H(1, 5)

Now,

Slope = (5-6)/(1-4)

= -1/-3

= 1/3

and y-intercept is,

b=6-1/3×4

b = 14/3

Hence, the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

This is an even function (because it has an exponent that is an even number), and even functions have the end behavior of both tails going in the same direction. Because this is a positive even function, both of the tails are going up.

Answer:

There are 7 blue flowers.

Step-by-step explanation:

Total flowers: 30

Use the chart to find the red, white, and yellow flowers.

Red: 8

White: 10

Yellow: 5

Find the sum of the these three colored flowers:

8 + 10 + 5

23

Find the difference between the total flowers and the sum of the three colored flowers:

30 - 23

7

7 blue flowers

Answer: Simple random sampling

Step-by-step explanation:

Simple random sampling is a sampling method where every member of the population of interest has an equal chance of being picked. It is the simplest sampling method as there are no parameters for picking members.

In using the entire company database and simply selecting members using a lottery style, - which is a random style - the managers of this movie theatre were using a simple random sampling method.

Answer:

Vertical line test is used to identify that the given graph is function or not

In this a vertical line is drawn at any part of the graph

If it cuts only one line then it is a function and it cuts more than one line then it is not a function

Answer:

The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.

Step-by-step explanation:

Answer:

From given, we have,

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height.  

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height.

Let the height of Theresa be "x" inches.

So, we get,

For Paul, 1 1/2 x - 16 = T

⇒ 3/2 x - 16 = T ......(1)

For Steve, 1 1/3 x - 6 = T

⇒ 4/3 x - 6 = T .........(2)

equating  equations (1) and (2), we get,

3/2 x - 16 =  4/3 x - 6

6 - 16 = 4/3 x - 3/2 x

-10 = (8 - 9)/6 x

-60 = -x

x = 60 inches.

Therefore, Theresa is 60 inches tall.

Answer:

5abc^2/35a^3c^3

Step-by-step explanation:

To bring the fraction: b/7a^2c to a denominator of 35a^3c^3, find the dividend when the 35a^3c^3 is divided by 7a^2c

=35a^3c^3/ 7a^2c

Recall that

a^x/a^y = a^x-y

Hence

35a^3c^3/ 7a^2c = 5a^3-2c^3-1

= 5ac^2

Now multiply the numerator and denominator by the result

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2)

Recall that

a^x * a^y = a^x+y

Hence

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2) = 5abc^2/35a^3c^3