which polynomials are in standard form? A. t^4-1 B. -2t^2+3t+4 C. 4t-7 D. None of The Above Choose all answers that apply

Answers

Answer 1
Answer:

Answer:

B. -2t^2+3t+4

Step-by-step explanation:

The standard form as

ax^2 + bx + c

Option B meets that requirement, even though it has a '-' in front

Answer 2
Answer:

Final answer:

All the given polynomials, A. t^4-1, B. -2t^2+3t+4 and C. 4t-7 are in standard form since their terms are written in descending order of their degrees.

Explanation:

In mathematical terms, a polynomial is in standard form if its terms are written in descending order of their degree, i.e. the power of the variable. This means the term with the highest power should be listed first, followed by the term with the next highest power, and so on. Let's look at the options:

  • Option A: t^4-1 is in standard form because t^4 is the highest degree term and it is listed first.
  • Option B: -2t^2+3t+4 is also in standard form as the terms are arranged in descending order of degree: 2 (in t^2), 1 (in t) and then 0 (in 4).
  • Option C: 4t-7 is in standard form as well, with the degree of the term 4t being 1 and the degree of -7 being 0.

So, in conclusion, the polynomials in standard form from the provided options are A. t^4-1,  B. -2t^2+3t+4 and C. 4t-7.

Learn more about Standard Form of Polynomial here:

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What is (7p + 6) - (9p - 7)?

6th grade math! hehe (:

Answers

Answer:

Answer is 8 hours

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

Given the function and the graph below, please answer the following:

Answers

The given quadratic function is

f(x)=(-x-1)^2+3

It represented graphically by an upward parabola

Since the parabola is upward, then it has a minimum vertex

From the graph, the minimum vertex is (-1, 3)

Then let us answer the questions

Maximum point: None

Minimum point: (-1, 3)

To find f(-5), substitute x by 5 in the function above

\begin{gathered} f(-5)=(--5-1)^2+3 \n f(-5)=(5-1)^2+3 \n f(-5)=(4)^2+3 \n f(-5)=16+3 \n f(-5)=19 \end{gathered}

To find f(6), substitute x by 6 in the function above

\begin{gathered} f(6)=(-6-1)^2+3 \n f(6)=(-7)^2+3 \n f(6)=49+3 \n f(6)=52 \end{gathered}

The answers:

f(-5) = 19

f(6) = 52

Choose the correct simplification of 9x^2(4x + 2x^2 − 1)

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

18x⁴ + 36x³ - 9x²

▹ Step-by-Step Explanation

9x²(4x + 2x² - 1)

36x³ + 18x⁴ - 9x²

18x⁴ + 36x³ - 9x²

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

What is the number in scientific notation ?

0.000000000093

Answers

0.000000000093 in scientific notation is 9.3 x 10 ^ -11

Answer:

your answer for  0.000000000093 would defiantly be 9.3 x 10^-11

Step-by-step explanation: i know this cause i took the test and got it wright

Which is a simplified form of the expression 2c + 2 + 6c – 4?A. 8c + 2
B. 8c – 2
C. 4c + 6
D. 4c – 2

Answers

Answer:

A. 8c+2 that's the answer srr if it's not

A particular concentration of a chemical found in polluted water has been found to be lethal to 40% of the crayfish that are exposed to the concentration for 24 hours. 22 crayfish are placed in a tank containing this concentration of chemical in the water. (a) What is the probability that 13 or 17 survive?
(b) What is the probability that at least 17 survive?
(c) What is the probability that at most 16 survive?
(d) What number of crayfish are expected to survive?
(e) What is the variance in the number of crayfish that are expected to survive? No actual crayfish were harmed in the making of this question.

Answers

Answer:

a) P(X=13)=(24C13)(0.4)^(13) (1-0.4)^(24-13)=0.0608

P(X=17)=(24C17)(0.4)^(17) (1-0.4)^(24-17)=0.0017

P(X=13 U X=17) = 0.0608+0.0017=0.0624

b) P(X \geq 17)=0.000427

c) P(X \geq 16)= 1-0.000427=0.9996

d) E(X)= np = 22*0.4=8.8

e) Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=24, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^(n-x)

Where (nCx) means combinatory and it's given by this formula:

nCx=(n!)/((n-x)! x!)

3) Part a

P(X=13)=(22C13)(0.4)^(13) (1-0.4)^(22-13)=0.0336

P(X=17)=(22C17)(0.4)^(17) (1-0.4)^(22-17)=0.00035

P(X=13 U X=17) = 0.0336+0.00035=0.0340

4) Part b

P(X \geq 17)=P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)

P(X=17)=(22C17)(0.4)^(17) (1-0.4)^(22-17)=0.00035

P(X=18)=(22C18)(0.4)^(18) (1-0.4)^(22-18)=0.0000651

P(X=19)=(22C19)(0.4)^(19) (1-0.4)^(22-19)=0.00000914

P(X=20)=(22C20)(0.4)^(20) (1-0.4)^(22-20)=0.000000914

P(X=21)=(22C21)(0.4)^(21) (1-0.4)^(22-21)=5.81x10^(-8)

P(X=22)=(22C22)(0.4)^(22) (1-0.4)^(22-22)=1.76x10^(-9)

P(X \geq 17)=0.000427

5) Part c

P(X \leq 16)=1-P(X>16)=1-P(X\geq 17) = 1-[P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)]

P(X \geq 16)= 1-0.000427=0.9996

6) Part d

The expected value is:

E(X)= np = 22*0.4=8.8

7) Part e

The variance is given by:

Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28

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