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REY [17]
3 years ago
8

The expression 2a+1.5b 2a+1.5b  gives the cost (in dollars) for a a cupcakes and b b cookies at a bake sale

Mathematics
1 answer:
zepelin [54]3 years ago
5 0
Is there a question here? I can't see it!
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What is the quotient written in scientific notation? 6 x 10^24 /8 x 10^8
Artist 52 [7]

When you divide 6x10^24 by 8x10^8 you end up with \frac{6}{8} x10^{16}

This simplifies to 0.75x10^{16}

Now this number is not written in scientific notation as it does not have its first digit before the decimal, so we must move the decimal of this one to the right.

To do that you must multiply the number by 10.

This means that the exponet of 10 must decrease by 1.

This makes the answer 7.5x10^{15}

6 0
3 years ago
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Find the rate of change of the function h(x) = 2 x on the interval 2 ≤ x ≤ 4. The rate of change is a0.'
IceJOKER [234]

Answer:

Step-by-step explanation:

7 0
3 years ago
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A car has mass 1500 kg and is traveling at a speed of 35 miles/hour. what is its kinetic energy in joules? (Be sure to convert m
photoshop1234 [79]

Answer:

Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

  • Mass of the car, v1 = 1500 kg
  • initial speed of car = 35 miles/h

                               =\dfrac{35\times 1609.34}{3600}\ m/s

                               = 15.64 m/s

Initial kinetic energy of the car is given by,

k_1\ =\ \dfrac{1}{2}.m.v_1^2

       =\ \dfrac{1}{2}\times 1500\times (15.64)^2\ joule

       = 183606.46 J

  • Final velocity of car v2 = 70 miles/hour

                                      =\dfrac{70\times 1609.34}{3600}

                                      = 31.29 m/s

So, final kinetic energy of car is given by

k_2\ =\ \dfrac{1}{2}.m.v_2^2

        =\ \dfrac{1}{2}\times 1500\times (31.29)^2

        = 734425.84 J

Now, the ratio of final to initial kinetic energy can be given by,

\dfrac{k_2}{k_1}=\ \dfrac{734425.84}{183606.46}

=>\ k_2\ =\ 4k_1                      

Hence, the kinetic energy will increase by 4 times.

7 0
2 years ago
I need help with this question please
umka21 [38]

Answer:

C. 9

Step-by-step explanation:

area \: of \: square =  {side}^{2} \\  \therefore \:   {side}^{2}  = 81 \\\therefore \:  side =  \sqrt{81}  \\ \therefore \:  side = 9 \: feet

Hence, side length of square = 9 feet.

7 0
3 years ago
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The numbers of students in the 8 schools in a district are given below. (Note that these are already ordered from least to great
Luba_88 [7]

Answer:The mean increases but the median stays the same.

Step-by-step explanation:

201 + 233 + 237 +255 +269+277+306 mean is 257 and median is 255

225 +233 + 237 +255 +269+277+306 mean is 260  and median is 255

8 0
2 years ago
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