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2 years ago

Please help me with this

Mathematics

1 answer:

KIM [24]2 years ago

4 0

Answer:

0.40

Step-by-step explanation:

Sin(T) is Opposite over Hypotenuse, which is RS/ST.

ST = sqrt(43) so we can plug that in.

To find RS, use the Pythagorean theorem, so, 6^2+ (RS)^2= 43.

36 + (RS)^2 = 43

RS^2 = 7

RS = sqrt(7)

Thus, Sin(T) = sqrt(7/43) or 0.40

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Suppose you invest $10,410 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20.

leva [86]

Let x= number of board games
20x=10410+2.65x 
-2.65 -2.65 
17.35x=10410 
/17.35 /17.35 
x=600 
You would need to sell at least 600 board games to break even

3 0

2 years ago

When a bactericide is added to a nutrient broth in which bacteria are growing, the bacteria population continues to grow for a

baherus [9]

Answer:

a) 1296 bacteria per hour

b) 0 bacteria per hour

c) -1296 bacteria per hour

Step-by-step explanation:

We are given the following information in the question:

The size of the population at time t is given by:

$b(t) = 9^6 + 6^4t-6^3t^2$

We differentiate the given function.

Thus, the growth rate is given by:

$\displaystyle\frac{db(t)}{dt} = \frac{d}{dt}(9^6 + 6^4t-6^3t^2)\\\\= 6^4-2(6^3)t$

a) Growth rates at t = 0 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=0}= 6^4-2(6^3)(0) = 1296\text{ bacteria per hour}$

b) Growth rates at t = 3 hours

$\displaystyle\frac{db(t)}{dt} \bigg|_{t=3}= 6^4-2(6^3)(3) = 0\text{ bacteria per hour}$

c) Growth rates at t = 6 hours

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3 0

3 years ago

Solve for the value of c. (2C+8) - (6c-6) ES O San 46

user100 [1]

2c+8=0
2c=-8
2/2 -8/2
C=-4
Im not exactly sure what the ES O San and 46 is tho

6 0

2 years ago

Simplify the radical

melisa1 [442]

Answer:

3 $\sqrt{3}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

$\sqrt{27}$

= $\sqrt{9(3)}$

= $\sqrt{9}$ × $\sqrt{3}$

= 3 $\sqrt{3}$

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2 years ago

Write and evaluate algebraic expressions

Sloan [31]

Answer:

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Step-by-step explanation:

you are trying to find an expression for total cost after an unknown amount of hours. you need to multiply the number of hours (defined as b and s in this example) by the cost per hour given ($9/hr for the bike and $10/hr for the scooter).

this would result in the following expression: total cost=9b+10s

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1 year ago