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3 years ago

Given is the formula:

Mathematics

2 answers:

notsponge [240]3 years ago

4 0

Answer:

Step-by-step explaation:

sertanlavr [38]3 years ago

3 0

Step-by-step explanation:

N(t) = 150 (1 − e^(-0.05t))

First, distribute:

N(t) = 150 − 150 e^(-0.05t)

Now, take the derivative. Recall that the derivative of e^u is e^u du.

N'(t) = 0 − 150 e^(-0.05t) (-0.05)

N'(t) = 7.5 e^(-0.05t)

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Use Special Right Triangles to solve for the value of y. Leave your answer in SIMPLIFIED radical form.

Scorpion4ik [409]

We can use the sine function and tangent function in order to solve for x and y:

$\begin{gathered} sin(\theta)=\frac{opposite}{hypotenuse} \\ sin(60)=\frac{15}{x} \\ x=\frac{15}{sin(60)} \\ x=10\sqrt{3} \end{gathered}$ $\begin{gathered} tan(\theta)=\frac{opposite}{adjacent} \\ tan(60)=\frac{15}{y} \\ y=\frac{15}{tan(60)} \\ y=5\sqrt{3} \end{gathered}$

7 0

1 year ago

I will give the brainiest

weeeeeb [17]

Answers:

36 individual black socks

38 individual white socks

Check: 36+38 = 74 total individual socks

====================================================

Work Shown:

b = number of pairs of black socks

w = number of pairs of white socks

w = b+1 since he has 1 more pair of white socks compared to black socks

2b = number of individual black socks

2w = number of individual white socks

2b+2w = total number of individual socks

2b+2w = 74

2b+2(b+1) = 74 .... plug in w = b+1

2b+2b+2 = 74 ... distribute

4b+2 = 74

4b = 74-2 .... subtracting 2 from both sides

4b = 72

b = 72/4 ... dividing both sides by 4

b = 18 is the number of pairs of black socks he has

2b = 2*18 = 36 is the number of individual black socks he has

w = b+1 = 18+1 = 19 is the number of pairs of white socks he has

2w = 2*19 = 38 is the number of individual white socks he has

2b+2w = 36+38 = 74 individual socks overall

7 0

3 years ago

Solve for y, z, x or t: y+ y/a =b, if a≠−1

Vadim26 [7]

Answer:

$y=ab/(a+1)$

Explanation:

In this case, you need to solve for y in y + y/a = b, if s ≠ - 1.

This is how you do it step-by-step:

1. Multiply all the equation by the common denominator: a

$y + y/a = b\\ \\ a(y + y/a = b)\\ \\ a(y + y/a) = ab$

2. Simplify:

$ay + ay/a = ab\\ \\ ay+y=ab$

3. Common factor: y

$y(a+1)=ab$

4. Divide both sides by a + 1

$y=ab/(a+1)$

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3 years ago

(x^4 -6x^2-24)/(x-2) synthetic division

allsm [11]

X^3+2x^2-2x-4 remainder -32/X-2

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3 years ago

URGENT!!LAST QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!

Luden [163]

Answer:

x = 28

Step-by-step explanation:

If the quadrilaterals are similar, there is a proportionality among their sides:

The top side in the large figure (70) is to the top side in the small figure (10) in the same ratio as the left side (x) in the large figure is to the left side in the small figure (4). This in math terms is written as:

$\frac{70}{10} =\frac{x}{4}$

We can then solve for the unknown "x" by multiplying both sides by 4:

$\frac{70}{10} =\frac{x}{4}\\\frac{70\,*\,4}{10} =x\\x=28$

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3 years ago