Question
choose the correct pattern for the following sentence- electric cars take several hours to recharge.
s-v-o
s-v-io
s-v-n
s-v-a
s-v-o
s-v-io
s-v-n
s-v-a
Answers
GPT 3.5
The correct pattern for the sentence "electric cars take several hours to recharge" is s-v-o (subject-verb-object).
nyny
how are acids and protron related
GPT 3.5
Acids and protons are related because acids are substances that can donate protons. Protons are positively charged particles found in the nucleus of an atom. In the context of acids, when they dissolve in water, they release hydrogen ions (H+), which are essentially protons. Therefore, acids can be defined as proton donors.
nyny
what is the value of n so that the expression x^2+11x+n is a perfect square trinomial
GPT 3.5
To determine the value of n so that the expression x^2 + 11x + n is a perfect square trinomial, we need to take half of the coefficient of x (which is 11/2) and then square it.
So, (11/2)^2 = 121/4.
Therefore, the value of n is 121/4.
So, (11/2)^2 = 121/4.
Therefore, the value of n is 121/4.
nyny
what is 121/4 in decimal form
GPT 3.5
The decimal form of 121/4 is 30.25.
nyny
what is a solution of x^2+6x=-5
GPT 3.5
To find a solution of the equation x^2 + 6x = -5, we need to set the equation equal to zero and solve for x.
Rearranging the equation, we get x^2 + 6x + 5 = 0.
Now, we can factorize the quadratic equation:
(x + 5)(x + 1) = 0.
Setting each factor equal to zero, we get:
x + 5 = 0 or x + 1 = 0.
Solving these equations, we find:
x = -5 or x = -1.
Therefore, the solutions to the equation x^2 + 6x = -5 are x = -5 and x = -1.
Rearranging the equation, we get x^2 + 6x + 5 = 0.
Now, we can factorize the quadratic equation:
(x + 5)(x + 1) = 0.
Setting each factor equal to zero, we get:
x + 5 = 0 or x + 1 = 0.
Solving these equations, we find:
x = -5 or x = -1.
Therefore, the solutions to the equation x^2 + 6x = -5 are x = -5 and x = -1.
nyny
which of the following is a solution of x^2+14x+112=0? is necessary round to the nearest hundredth
GPT 3.5
To find the solution of the equation x^2 + 14x + 112 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 1, b = 14, and c = 112. Plugging these values into the quadratic formula, we get:
x = (-14 ± √(14^2 - 4*1*112)) / (2*1)
Simplifying further:
x = (-14 ± √(196 - 448)) / 2
x = (-14 ± √(-252)) / 2
The value inside the square root is negative (since -252 is negative), which means there are no real solutions to this equation. Therefore, there are no solutions to x^2 + 14x + 112 = 0.
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 1, b = 14, and c = 112. Plugging these values into the quadratic formula, we get:
x = (-14 ± √(14^2 - 4*1*112)) / (2*1)
Simplifying further:
x = (-14 ± √(196 - 448)) / 2
x = (-14 ± √(-252)) / 2
The value inside the square root is negative (since -252 is negative), which means there are no real solutions to this equation. Therefore, there are no solutions to x^2 + 14x + 112 = 0.
nyny
a box shaped like a rectangular prism has a height of 17 in and a volume of 2,720 in^3 the length is 4 inches greater than twice the width. what is the width of the box
GPT 3.5
Let's assume the width of the box is x inches.
Since the length is 4 inches greater than twice the width, the length can be expressed as 2x + 4 inches.
The volume of a rectangular prism is given by the formula V = length × width × height.
Therefore, we can set up the equation:
2x + 4 * x * 17 = 2,720
Multiplying, we have:
34x^2 + 68x = 2,720
Dividing both sides by 34, we get:
x^2 + 2x = 80
Rearranging the equation:
x^2 + 2x - 80 = 0
Now, we can solve this quadratic equation by factoring or by using the quadratic formula. Factoring this equation, we get:
(x + 10)(x - 8) = 0
Setting each factor equal to zero:
x + 10 = 0 or x - 8 = 0
Therefore, we have two possible solutions for the width:
x = -10 or x = 8
Since the width of a box cannot be negative, the width of the box must be 8 inches.
Since the length is 4 inches greater than twice the width, the length can be expressed as 2x + 4 inches.
The volume of a rectangular prism is given by the formula V = length × width × height.
Therefore, we can set up the equation:
2x + 4 * x * 17 = 2,720
Multiplying, we have:
34x^2 + 68x = 2,720
Dividing both sides by 34, we get:
x^2 + 2x = 80
Rearranging the equation:
x^2 + 2x - 80 = 0
Now, we can solve this quadratic equation by factoring or by using the quadratic formula. Factoring this equation, we get:
(x + 10)(x - 8) = 0
Setting each factor equal to zero:
x + 10 = 0 or x - 8 = 0
Therefore, we have two possible solutions for the width:
x = -10 or x = 8
Since the width of a box cannot be negative, the width of the box must be 8 inches.