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3 years ago

9

Raj spends an average of 38 minutes doing homework each day. He records that he did homework on 108 school days this year. How m

any minutes did Raj spend doing homework this year

1 answer:

Evgesh-ka [11]3 years ago

8 0

Answer: 4,104

Step-by-step explanation:

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If 1 cm represents 30 km on a map and colorado is shown by a 20cm by 15 cm rectangle on the map, what is the approximate actual

zubka84 [21]

Answer:

20*30km = 600km

15*30km = 450km

600km * 450km = 270000 km^2

Step-by-step explanation:

assuming 1cm --- 30km causes that 2cm --- 60km, 3cm --- 90km, 4cm --- 120km etc. Notice that number of km's is 30 times greater than the number of cm's on a map

using this logic, you calculate both real dimensions of Colorado by multiplying 20*30 = 600 km and 15*30 = 450km

Then we use a formula of an area of a rectangle $A=a\cdot b$ assuming $a=600km, \ b=450km$ and get $A=600\cdot 450=270000km^2$ which is an actual area of Colorado

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2 years ago

Please help with b) and c)

rewona [7]

For b it is A,M and T
For C it is 0%

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2 years ago

The number of Apple cakes is 4/5 of the number of strawberry cakes. There are 24 strawberry cakes more than apple pies. What per

serious [3.7K]

--------------------------------------------------------------------
Ratio Given
--------------------------------------------------------------------
Apple : Strawberry
4 : 5

--------------------------------------------------------------------
Find difference in parts
--------------------------------------------------------------------
5 - 4 = 1

--------------------------------------------------------------------
Find Number of strawberry cakes
--------------------------------------------------------------------
1 part = 24 cakes
5 parts = 24 x 5 = 120

--------------------------------------------------------------------
Find number of apple cakes
--------------------------------------------------------------------
1 part = 24 cakes
4 parts = 24 x 4 = 96

--------------------------------------------------------------------
Total number of cakes
--------------------------------------------------------------------
120 + 96 + 144 = 360

--------------------------------------------------------------------
Percentage of cranberry cakes
--------------------------------------------------------------------
144/360 x 100 = 40%

--------------------------------------------------------------------
Answer: 40% of the cakes are cranberry cakes
--------------------------------------------------------------------

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3 years ago

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

Lapatulllka [165]

Answer:

Step-by-step explanation:

Given that there is a function of x,

$f(x) = 2sin x + 2cos x,0\leq x\leq 2\pi$

Let us find first and second derivative for f(x)

$f'(x) = 2cosx -2sinx\\f"(x) = -2sinx-2cosx$

When f'(x) =0 we have tanx = 1 and hence

a) f'(x) >0 for I and III quadrant

Hence increasing in $(0, \pi/2) U(\pi,3\pi/2)\\$

and decreasing in $(\pi/2, \pi)U(3\pi/2,2\pi)$

$x=\frac{\pi}{4}, \frac{3\pi}{4}$

$f"(\pi/4)$

Hence f has a maxima at x = pi/4 and minima at x = 3pi/4

b) Maximum value = $2sin \pi/4+2cos \pi/4 =2\sqrt{2}$

Minimum value = $2sin 3\pi/4+2cos 3\pi/4 =-2\sqrt{2}$

c)

f"(x) =0 gives tanx =-1

$x= 3\pi/4, 7\pi/4$

are points of inflection.

concave up in (3pi/4,7pi/4)

and concave down in (0,3pi/4)U(7pi/4,2pi)

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2 years ago

Jenn swam ⅕ mile in ¼ hour. What is her unit rate in miles per hour?

Paladinen [302]

Answer:

1/2 mile/1/5 hour = 5/2 mph = 2 1/2 mph

Step-by-step explanation:

4 0

2 years ago

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