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3 years ago

Can someome please help me solve this my teacher hasn't done a good with teaching us this.

Mathematics

1 answer:

scoundrel [369]3 years ago

5 0

Answer:

30500 = 3.05·10^4

Step-by-step explanation:

Your calculator can do this for you. You may need to set the display to scientific notation, if that's the form of the answer you want.

This can be computed by converting both numbers to standard form:

(5·10^2) +(3·10^4)

= 500 +30000 = 30500 = 3.05·10^4

Addition of numbers in scientific notation in general requires that they have the same power of 10. It may be convenient to convert both numbers to the highest power of 10.

5·10^2 + 3·10^4

= 0.05·10^4 +3·10^4 . . . . now both have multipliers of 10^4

= (0.05 +3)·10^4

= 3.05·10^4

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Which problem could be solved with the expression (5 + 3) + 2?

ANTONII [103]

Answer: the answer is a

Step-by-step explanation: i did all the work that i could do on my paper

7 0

3 years ago

Write the five term sequence that would represent each recursive rule f(x) = f(x-1) -7; f(2) = 12

barxatty [35]

<u>Answer: </u>

Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

<u> Solution: </u>

Need to find the five terms of the sequence.

Given recursive rule is f(x) = f(x-1) -7

Substituting x = 2 , f(2) = f(2-1)-7

= f(2) = f(1) – 7 ------(1)

Also given that f(2) = 12.

On substituting the given value of f(2) in eq (1) we get

12 = f(1) – 7

f(1) = 12 + 7 = 19

Using given recursive rule and given value of f(2) calculating f(3)

Substituting x = 3 ,

f(3) = f(3-1) – 7

= f(2) – 7

= 12 – 7

= 5

Using given recursive rule and calculated value of f(3) calculating f(4)

Substituting x = 4,

f(4) = f(4-1) – 7

= f(3) – 7

= 5– 7

= -2

Using given recursive rule and calculated value of f(4) calculating f(5)

Substituting x = 5,

f(5) = f(5-1) – 7

= f(4) – 7

= -2– 7

= -9

Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

8 0

3 years ago

Please help i tried so hard and its not right

garik1379 [7]

Answer:

Step-by-step explanation:

so, you need the total price, which would be 17,850+2,150=20,000 as the whole price of the car, then you need to find what precent 2,150 is of 20,000. then use this formula for finding the precent.

2150/20000 times 100%=10.75%

8 0

2 years ago

Read 2 more answers

A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.

Montano1993 [528]

Answer:

x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

area = xy +2(xz +yz)

volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

L = xy +2(xz +yz) +λ(xyz -8788)

partial with respect to x: 0 = y+2z +λyz

partial with respect to y: 0 = x +2z +λxz

partial with respect to z: 0 = 2x+2y +λxy

partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

λ = (y +2z)/(yz) = 1/z +2/y

λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

1/z +2/y = 1/z +2/x ⇒ x = y

The third equation then tells us ...

λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

1/z +2y = 2/x +2/y ⇒ z = x/2

This is the result we started the answer with:

x = y = 2z = ∛(2·8788 cm³)

7 0

3 years ago

Sara takes 1/6 of an hour to vacuum his moms car it takes 4 times that long to wash the car then it takes you to wax the car twi

Nataly [62]

<h2>Answer:</h2><h2>2 hours & 10 minutes </h2><h2>Step-by-step explanation:</h2><h2>1/6 of an hour is 10 minutes. She vacuumed for 10 minutes. It took 4 times as long to wash the car so 10 * 4 = 40. She washed the car for 40 minutes. It took her twice as long to wax the car as it did for her to wash it so 40 * 2 = 80. She waxed the car for 80 minutes. 10 + 40 + 80 = 130 minutes or 2 hours and 10 minutes. </h2>

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3 years ago