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rjkz [21]
3 years ago
9

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
Mademuasel [1]3 years ago
8 0

Answer:

x=55

Step-by-step explanation:

The 3 angles of a triangle add up to 180 degrees

<A + < B + <C = 180

x + 75+ 50 = 180

x + 125 = 180

subtract 125 from each side

x = 180-125

x = 55

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The volume of a landfill doubles every three years. Write an exponential function to represent this.
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The equation would be: V = A2^(Y/3)

The basic form of an exponential equation is y = ab^x.

The a is the starting amount. In this problem, we don't know that, so we just leave it as a.

The b is the rate. In this case, we are doubling the volume so we times it by 2.

The x is the amount of years. Since it is every 3 years, we can divide the x by 3.
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this is really simple math, i just forgot how to do this because i haven't done math in so long. help please?
shtirl [24]
X^2 - 2/3x + 1/9   is the answer i belive

3 0
3 years ago
What does the fundamental theorem of algebra and its corollary tell you about the roots of the polynomial equation p(x)=0 where
denis23 [38]

Answer:

A polynomial with complex coefficients of degree n has n complex roots, counted with multiplicity.

Step-by-step explanation:

We are given a polynomial p(x) in the question with degree n.

The degree n means the n is the highest power of variable in the given polynomial.

The equation:

p(x) = 0

Fundamental theorem of Algebra

  • The Fundamental theorem of Algebra states that a a polynomial of degree n will have n roots of the equation.

This can further be explained as:

  • A polynomial with complex coefficients of degree n has n complex roots, counted with multiplicity.
3 0
3 years ago
16. From past experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain o
Lynna [10]

Answer:

E(x)=0.15

V(x)=0.3075

S(x)=0.5545

Step-by-step explanation:

The mean of a discrete variable is calculated as:

E(x)=x_1*p(x_1)+x_2*p(x_2)+...+x_n*p(n)

where x_1,x_2,...,x_n are the values that the variable can take and p(x_1),p(x_2),...,p(x_n) are their respective probabilities.

So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

E(x)=(0*0.92)+(1*0.03)+(2*0.03)+(3*0.02)=0.15

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.

At the same way, the variance V(x) is calculated as:

V(x)=E(x^2)-(E(x))^2

Where E(x^2)=x_1^2*p(x_1)+x_2^2*p(x_2)+...+x_n^2*p(n)

So, the variance V(x) is equal to:

E(x^2)=(0^2*0.92)+(1^2*0.03)+(2^2*0.03)+(3^2*0.02)=0.33\\V(x)=0.33-(0.15)^2\\V(x)=0.3075

Finally, the standard deviation is calculated as:

S(x)=\sqrt{V(x)} \\S(x)=\sqrt{0.3075} \\S(x)=0.5545

8 0
3 years ago
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Answer:

Step-by-step explanation:

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