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andre [41]
3 years ago
10

Erin received the following scores on her last four spelling tests.21\25, 82%, 0. 8, 17\20.

Mathematics
2 answers:
Paha777 [63]3 years ago
8 0

Answer:

The highest score is the last one 17/20

Step-by-step explanation:

<u>Step 1:  Convert all to percentage </u>

21/25 -> 0.84 * 100 -> 84%

82%

0.8 * 100 -> 80%

17/20 -> 0.85 * 100 -> 85%

Answer:  The highest score is the last one 17/20

IRISSAK [1]3 years ago
6 0

\huge\boxed{\frac{17}{20}}

We will convert each of the scores to a percentage.

\frac{21}{25}*\frac{4}{4}\to\frac{21*4}{25*4}\to\frac{84}{100}\to84\%

82\%

0.8*100\to80\%

\boxed{\frac{17}{20}}*\frac{5}{5}\to\frac{85}{100}\to\boxed{85\%}

So, the answer is the last option.

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Find the particular solution that satifies the differential equation and the initial condition. f"(x) = x2 f'(0) = 8, f(0) = 4
viva [34]

Answer:

f(x) = x^4/12 + 8x + 4

Step-by-step explanation:

f"(x) = x^2

Integrate both sides with respect to x

f'(x) = ∫ x^2 dx

= (x^2+1)/2+1

= (x^3)/3 + C

f(0) = 8

Put X = 0

f'(0) = 0+ C

8 = 0 + C

C= 8

f'(x) = x^3/3 + 8

Integrate f(x) again with respect to x

f(x) = ∫ (x^3 / 3 ) +8 dx

= ∫ x^3 / 3 dx + ∫8dx

= x^(3+1) / 3(3+1) + 8x + D

= x^4/12 + 8x + D

f(0) = 4

Put X = 0

f(0) = 0 + 0 + D

4 = D

Therefore

f(x) = x^4 /12 + 8x + 4

5 0
3 years ago
A right triangle has a side with length 12 in and a hypotenuse with length 20 in. find the length of the missing leg. (round to
OLEGan [10]
Let the unknown side be "z" inches
Through pythagoras:
{12}^{2}  +  {z}^{2}  =  {20}^{2}
Because the square of the two sides add up to the square of the hypotenuse in a right triangle.

This means that
{z }^{2}  = {20}^{2}  -  {12}^{2}
{z}^{2}  = 400 - 144 = 256
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So the missing side is 16 inches

Hope this helped
6 0
4 years ago
Isaac is organizing a 5-kilometer road race. The safety committee
Artyom0805 [142]

Answer:

<h2>10 volunteers are more than recommended</h2>

Step-by-step explanation:

  The recommended number of volunteers is five (5)

  Since the the distance of the race is 5km,

and the safety committees recommends 1 volunteer per kilometre.

Hence ten (10) volunteers is more than enough

5 0
3 years ago
The sum of the measures of the angles of a triangle is 180°. The middle-sized angle measures 3° more than 2 times the smallest a
Anit [1.1K]

Answer:

13° , 29° , 138°

Step-by-step explanation:

let x be the smallest angle , then

2x + 3 is the middle angle and

2x + 3 + 109 is the largest angle

summing the 3 angles and equating to 180

x + 2x + 3 + 2x + 3 + 109 = 180 , that is

5x + 115 = 180 ( subtract 115 from 180 )

5x = 65 ( divide both sides by 5

x = 13

2x + 3 = 2(13) + 3 = 26 + 3 = 29

2x + 3 + 109 = 29 + 109 = 138

the 3 angles are 13° , 29° , 138°

6 0
2 years ago
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kaheart [24]

Answer:

324 cubic inches

Step-by-step explanation:

The dimensions are now 18 x 18 x 1, since you are cutting an inch off each side.

324 cubic inches

7 0
2 years ago
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