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1 year ago

An investor bought 3 shares of stock A and 2 shares of stock B for a total of

Mathematics

1 answer:

irga5000 [103]1 year ago

8 0

Step-by-step explanation:

3a+2b=41

(3a+$2)+2b=41

3(7+2)=41-2(7)

3×9=41-14

27=27

a=9

b=7

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g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the len

vredina [299]

Answer:

$-\frac{10}{3}ft/s$

Step-by-step explanation:

We are given that

Height of man=5 foot

$\frac{dy}{dt}=-10ft/s$

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

$\frac{20}{5}=\frac{x+y}{x}$

$4=\frac{x+y}{x}$

$4x=x+y$

$4x-x=y$

$3x=y$

$3\frac{dx}{dt}=\frac{dy}{dt}$

$\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s$

Hence, the rate of change of the length of his shadow when he is 25 ft from the street light= $-\frac{10}{3}ft/s$

7 0

2 years ago

What is the surface area of this figure?

Sindrei [870]

Answer:

328

Step-by-step explanation:

3 0

3 years ago

6x^+4(x^-1) simply this question

Nadusha1986 [10]

1. when you see 4(x² - 1), then you have to multiply 4 with everything in the bracket. keep in mind that you always have to be cautious of the sign whether it is a positive or a negative.

positive ×/÷ positive = positive
negative ×/÷ negative = positive
positive ×/÷ negative = negative
negative ×/÷ positive = negative

^ you have to remember this.

2. only like terms (same alphabet) can plus or minus each other.

3. simplify by taking out the common factor and placing it outside the bracket.