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klasskru [66]
2 years ago
8

Question 5: 10 pts

Mathematics
1 answer:
victus00 [196]2 years ago
4 0

Answer:

6.7i + 7.4j

Step-by-step explanation:

if the angle starts from the East (direction of positive x-axis)

then the y (j) component is 10*sin(42) = 6.7

and x (i) component is 10*cos(42) = 7.4

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Find dy/dx of y=csc(square root of x)
Vitek1552 [10]

Answer:

y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}}

Step-by-step explanation:

y = csc x

y' = -cot x csc x

y = \csc \sqrt{x}

y' = \dfrac{d}{dx} [\csc \sqrt{x}]

y' = (-\cot x \csc x) \dfrac{d}{dx} \sqrt{x}

y' = (-\cot x \csc x) \dfrac{d}{dx} x^{\frac{1}{2}}

y' = (-\cot x \csc x) \dfrac{1}{2} x^{-\frac{1}{2}}

y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}}

5 0
2 years ago
3. Adam deposits 4
8090 [49]

Answer:

$3105.97

Step-by-step explanation:

checks add up to $2333.66

then add it change up

33 $1=$33

103 $5=$515(10 $5=$50 $50*10=500 +$15 cause 3$5=$15)

1$10=10

12 25¢=$3(4quarters make $1 4/12=$3)

5 10¢=50¢

200 5¢= $10(20 5¢=$1 so 20*10=200 so have $10)

81 1¢=81¢

change added together=$772.31

now add checks and cash=$3105.97

5 0
3 years ago
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution?
Vinvika [58]

Answer:

we have 8 quarts of 40% antifreeze,

according to the britain equivalent, 1 quart = 1.13L

so, we have 8 * 1.13L  = 9.04 L

out of the 9.04 L, 40% is antifreeze

amount of antifreeze = 0.4 * 9.04 = 3.616 L

moles of antifreeze present = 3.616/22.4 = 0.16 moles

moles of antifreeze in 60% solution = 0.6 * v/22.4 = 0.027 * v          

<em>(where v is the volume of final solution)</em>

molarity of initial solution = 0.16/9.04 = 0.018 M

molarity of final solution = 0.027*v/v = 0.027 M

m1*v1  = m2*v2

0.018 * 9.04 = 0.027 * v

v = 0.018 * 9.04/0.027

v = 6.026 L

amount if antifreeze in the final solution = 6.026 * 0.027 =  

0.163 Moles of antifreeze

amount in L = 0.163 * 22.4 = 3.65 L

amount in quarts  = 3.65/1.13 = 3.23 quarts

4 0
3 years ago
There are 768 beds in a hospital, each floor has 64beds, how many floors are there
Alja [10]

Answer:

There are 12 floors in a hospital.

Step-by-step explanation:\

Each floor has 64 beds, but the hospital has totally 768 beds

So, \frac{768}{64} = 12 (floors)

4 0
3 years ago
A restaurant that specializes in pizza providA restaurant that specializes in pizza provides the following pricing table for a l
Mrac [35]

Answer:it’s b

Step-by-step explanation:

6 0
3 years ago
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