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2 years ago

Is 4 a factor of 10u + 34v? Yes No

Mathematics

1 answer:

Slav-nsk [51]2 years ago

5 0

Answer:

yess

Step-by-step explanation:

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Ryan took out a 66-month loan to pay for a $28,500 car. If he paid $33,829.50 in total at the end of the loan, find the interest

velikii [3]

28,500 subtracted from 33,829.50 is 5,329.50. Then you divide the difference by the number of months. (5,329.50/66) . That dividend would be 80.75. sorry I could not provide further information.

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3 years ago

Show that B = {[a, b) ⊂ ℝ | a < b} is a basis for a topology on ℝ

loris [4]

Answer:

Remember that a set $\mathcal{B}$ is a base for some topology on $\mathbb{R}$ if satisfy the following properties:

1. $\mathbb{R}=\cup\{B: B\in\mathcal{B}\}$

2. For $B, B^* \in \mathcal{B}$ , If $p\in B\cap B^*$ then exist $B_p\in\mathcal{B}$ such that $p\in B_p\subset B\cap B^*$ .

Now, for $B=\{[a,b)\subset\mathbb{R}| a < b\}$ we verify the above properties:

1. It's clear that $\mathbb{R}=\cup_{a,b \text{ with }a$

2. Let $B=[a,b), B^*=[c,d) \in \mathcal{B}, p\in B\cap B^*$ . Without loss of generality suppose that $a$ . Then $c\leq p < b$ , this implies that $p\in[c,b)$ and $B_p=[c,d) \in \mathcal{B}$ and $B_p\subset B\cap B^*$ .

Then, B satisfy the two properties. This show that B is a basis for a topology in $\mathbb{R}$

6 0

3 years ago

I need to find the area. (please help me quick & the answer and explanation plz) POINTS: 15! please give real answers!!!!

Rufina [12.5K]

Area of triangle= 1/2 x Base x H

6 0

2 years ago

Read 2 more answers

Q(x)=x^3+ax^2+2b is divided by (x-3) and has a remainder of 4. Find the values of "a" and "b"

Sati [7]

Answer:

Let p(x) = x3 + ax2 + bx +6

(x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)

Equating the value of b from (ii) and (i) , we have

(- 7 -2a) = (-10 - 3a)

a = -3

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

Step-by-step explanation:

4 0

2 years ago

Given the following statistics for women over the age of 50 entering our medical clinic: 1% actually have breast cancer 90% of t

vazorg [7]

Answer: 91.2%

Step-by-step explanation:

Of the 1% of women that have breast cancer, 90% of those are tested positive with 8% of those being false positive. 8% of 90% is 8.8% so 91.2% chance.

4 0

3 years ago