I dont understand this

Answers

Answer 1

Answer: Hello,

Answer D. y²=2e^x+14
Indeed

yy'=e^x
=>y²/2=e^x+C
if x=0 and y=4==>16/2=e^0+c==>8-1=c==>c=7

y²/2=2e^+14

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Algebra 1b radical expressions & data analysis1. Simplify 2/√5

A. 2/√5
B. √10
C. √10/5
D. 2√10/5 *** My answer

2. Simplify -11√112

A. -44√7
B. -176 √7
C. -27 √7
D. 4√7 *** My answer

3. Simplify 17√17 -9 √17

A. 8 *** My answer
B. 8√17
C. 26√17
D. 8√0

4. Simplify 6/ √3 + 2

A. 4/ √3
B. 12 - 6 √3 *** my answer
C. √3 - 2
D. 3

5. What is the domain of the function y = 3√6x + 42 ?

A. X≥0
B. X ≤7 *** my answer
C. X ≥ -6
D. X ≥ -7

6. What are the domain and range of the function y = 2 √3x + 4 - 5 ?

A. X ≥ -4/3 ; y ≥ -5 *** my answer
B. X ≥ 4/3 ; y ≥ -5
C. X ≤ -4/3 ; y ≤ -5
D. X ≥ -4/3 ; y ≥5

7. When will the dependent variable in the equation y = √x+4 - 3 equal or exceed 4 ?

A. X ≥ -0.17
B. X ≥ 45
C. X ≥ 48 *** my answer
D. X ≥ 53

8. Simplify the radical expression. Show all of the steps.

√363 - 3√27

Answers

1 none
2 a
3 b
4 none
5 d
6 a
7 b
$√(363) - 3 √(27) = √(3 * 11 * 11) - 3 √(3*3*3) = 11√(3) - 9 √(3) = 2√(3)$

Quick question!!!!!!!

Answers

Answer:

72.5

Step-by-step explanation:

Factor the four-term polynomial. mn - 15 + 3m - 5nmn-15+3m-5n Let's rearrange the terms mn + 3m - 15 - 5n = m*(n + 3) - 5(n + 3) = (m - 5)(n + 3)

Answers

I think the answer is

(m-5)(n+3)

Find the measure of angle B
78 degrees
37 degrees
55 degrees
65 degrees

Answers

Answer:

65°

Step-by-step explanation:

We can apply a theorem known as angle sum property of a triangle,in which all the angles of it sums to 180°,then only it can be a triangle!

In ∆ ABC, by angle sum property,

<A+<B+<C = 180°

Given that, <A = 2x+4°,

<B = 2x-9°
<C = x°

Putting in the values,

2x+4+2x-9+x = 180°(Collect terms and solve them)

Solving in the equation,

4x-5 +x = 180°(Again collect terms)
5x = 185°(Transpose 5 onto RHS)
x = 185/5 = 37°

We have to find the value of <B:

2x-9°

Putting the value of <B:

2*37-9
74-9 = 65°

Hence the value of <B = 65°

Please help!! need to pass this class!!

Answers

Answer:

ADB and DBC

Step-by-step explanation:

Angles ADB and DBC are both marked with three curved lines which shows that their angles are congruent to each other.

Hope this helps! :)

Suppose the population of trout in a certain stretch of a river is 4000. In about how many years will the population of trout be 700 if the decay rate is 35%? Use the equation 700 = (4000)(0.65)x and round the value of x to the nearest year.

Answers

Answer: 4 years

Step-by-step explanation:

The exponential decay equation is given by :_

$y=A(1-r)^x$ , where A is the initial population and r is the rate of decay in x years .

The initial population of trout in a certain stretch of a river =4000

The rate of decay = 35% =0.35

To find the number of years (x) for the population of trout be 700, we put all the values of the above equation, we get

$700=4000(1-0.35)^x\n\n\Rightarrow700=4000(0.65)^x\n\n\Rightarrow (0.65)^x=(700)/(4000)\n\n\Rightarrow(0.65)^x=0.175\n\n\text{Taking log on both sides, we get}\n\n\Rightarrow x\log(0.65)=\log(0.175)\n\n\Rightarrow x(-0.187086643357)=-0.756961951314\n\n\Rightarrow x=(-0.756961951314)/(-0.187086643357)\n\n\Rightarrow\ x=4.0460502029\approx4\text{ years}$

4.97991230017 years is the final answer. I would suggest rounding your answer to the nearest tenth, so 5 years should be your correct answer.