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3 years ago

When a number is divided by 5, it has a remainder of 4.

Mathematics

1 answer:

Alexxx [7]3 years ago

7 0

Answer:

Step-by-step explanation:

I plugged in the numbers between 35 and 40 and got this. No problem. :)

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For the first one the answer are

BigorU [14]

Answer:

1. add 1/2x to both sides

a. you want to combine the like terms. in this case, it is the x variable.

you are left with 7/6x = 5

2. multiply by 6/7

a. the reciprocal of 7/6 will cancel out the values

4 0

3 years ago

Each day, about 75,000 people visit paris, france. Use the commutative property to write two equivalent expressions that could b

Rainbow [258]

The commutative property states that you can move things around and it will still be equal. The best way to remember this is "commute" which kind of means to move around. 75000x = x75000, where x is the number of days. So, in this case, it would be 75000(5) = (5)75000 or 5 * 75000 = 75000 * 5.

7 0

4 years ago

Determine if the set of polynomials {x^2 –2x+1, 2x² + 3x -4,-x2+x+5) is a linearly independent set in P2. Is it a basis for P? W

WITCHER [35]

Answer with Step-by-step explanation:

We are given that a set of polynomials ${x^2-2x+1,2x^2+3x-4,-x^2+x+5}$

We have to find that given set is a linearly independent set in $P_2$

and given set is a basis for $P_2$ or not.

Matrix of given set of polynomials

A= $\left[\begin{array}{ccc}1&-2&1\\2&3&-4\\-1&1&5\end{array}\right]$

Linearly Independent set :If any row or any column is not a linear combination of other rows or columns then the set is linearly independent set.

Any row or column is not a linear combination of other rows or columns.Therefore, given set is a linearly independent set .

We know that

$P_2=x^2$

Element of $P_2$ is of the form

$ax^2+bx+c$

Every element of $p_2$ is a linear combination of given set of polynomials.

Hence, given set is linearly independent in $p_2$ .

If any set is basis for any vector space then it satisfied the following two conditions

1.Given set is linearly independent.

2.Every element of given vector space spanned by the given set.

Given set of polynomials are linearly independent and spanned every element of $P_2$ .

Therefore, given set is as basis for $p_2$ because the set is linearly independent and spanned $P_2$ .

7 0

3 years ago

State 2 number that is greater than 75%

notka56 [123]

75% = 75/100 = 0.75

Two numbers greater than 75% are 90% and 85%, or 0.9 and 0.85.

6 0

4 years ago

An experiment consists of drawing a marble out of a bag, observing the color, and then placing it back in the bag. Suppose the e

Elan Coil [88]

The experimental data suggest that

$\mathbb P(\text{red})\approx\dfrac{38}{75}$
$\mathbb P(\text{blue})\approx\dfrac{23}{75}$
$\mathbb P(\text{green})\approx\dfrac{11}{75}$
$\mathbb P(\text{yellow})\approx\dfrac3{75}$

Because the marble is replaced after being drawn, and so the number of marbles of a given color remains the same, the event of drawing any given color is independent of what was drawn before. So

$\mathbb P(\text{2 consecutive yellows})\approx\dfrac3{75}\cdot\dfrac3{75}=\dfrac1{625}$

5 0

4 years ago

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