Are all spheres similar?
Answers
all are similar
Related Questions
I need the answer and the work! you have to find n.
The product of (3+2i)and a complex number is (17+7i). The complex number is?
the environmental protection agency has determined that safe drinking water should contain no more than 1.3 milligrams per liter (mg/l) of copper, on average. to test water from a new source, you collect water in small bottles at each of 30 randomly selected locations. the mean copper content of your bottles is 1.36 mg/l and the standard deviation is 0.18 mg/l. you perform a test of
What is the equation of the line that passes through (-1, -7) and has a slope of 2?
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and
x= +[5/6(1-i√11)]
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Answer:
5
Step-by-step explanation:
let the consecutive odd numbers be n and n + 2 , then
n(n + 2) = n² + 10 , that is
n² + 2n = n² + 10 ( subtract n² from both sides )
2n = 10 ( divide both sides by 2 )
n = 5
That is the smaller number is 5
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The value of the functionf(x) = 4x +5 at x = 5 is f(5) = 25
What is function?
"It is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output."
For given example,
Given function: f(x) = 4x +5
We need to find the value of f(x)
This means, we need to find the function f(x) when x = 5
Substitute x = 5 in the given function.
⇒ f(x) = 4x +5
⇒ f(5) = 4(5) +5
⇒ f(5) = 20 + 5
⇒ f(5) = 25
Therefore, f(5) = 25
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F(5) is 0 at this point
Subtract 5 from both sides
-5=4x
Divide both sides by 4
-5/4=x
So f(5)=-5/4
b.cross-pollination, by using parents that had different traits
c.self-pollination, by using one parent
d.random pollination, by using both identical- and different-trait matings
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we know that
Gregor Mendal used a process of cross-pollination,by using parents that had different traits in his experiment with pea plants. He was studying the difference between tall and short pea plants, and how genes were expressed differently between the two, so this method of cross-pollination was vital in order to accurately recreate how this process would happen within nature.
therefore
the answer is the option
b.cross-pollination, by using parents that had different traits
x^4-7x^2-8=0
a. x = -1, 1, 2 sqrt 2, or -2 sqrt 2
b. x = -i, i, 2 sqrt 2, or -2 sqrt 2
c. x = -1, 1, 2 sqrt 2i, or -2 sqrt 2i
d. x = -i, i, 2 sqrt 2i, or -2 sqrt 2i
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Because this is a fourth degree that will be tricky to factor as it is, we will do a u substitution. Let . We can now rewrite that polynomial in terms of u:
. Filling into the quadratic formula we have
. Simplifying down
and
or
. That means that u = 8 or u = -1. But don't forget that we let
, so we have to put x-squared back in for u. That gives us
which simplifies down to
. That also gives us
. When we take the square root of -1, we have to use the fact that -1 = i^2, so we sub that in to get
. All in all, your solutions are as follows:
which is choice b.
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Final answer:
Solving an equation is likened to unwrapping a present because in both cases, you aim to uncover what's within by dealing with the outer layers systematically. Through an inverse process, you isolate the equation's variable and solve for it, just as the step-by-step unwrapping of layers reveals the gift within the package.
Explanation:
Unwrapping a present is a great way to understand the process of solving an equation. If you consider the equation itself as being 'wrapped' in different operations such as multiplication, division, addition, and subtraction, you can begin to 'unwrap' it by systematically dealing with these operations in reverse from the order of operations. This would be like when you unpack the present by undoing the tape, then the paper, then the box, or whatever other layers might be present.
To use a direct example, let's consider the equation 3x + 7 = 22. You start unwrapping by isolating for the term with the variable. This means you handle the operation that does not involve the variable first. So, subtract 7 from both sides of the equation to get 3x = 15. Next, you handle the multiplication operation by dividing both sides by 3 and solving for x, which would be 5 in this case. Just like unwrapping a present, we aim to get to the 'inside' or the root of the equation.
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