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timama [110]
3 years ago
7

A ball is thrown from a point 6 metres above the ground. The graph shows the height of the bake above the ground in metres. Esti

mate the speed of the ball in m/s after 1 second. You must show working.

Mathematics
1 answer:
Margarita [4]3 years ago
3 0

Answer:

1.38

Step-by-step explanation:

1.7-0.4=1.8

1.8/1.3=1.38

On graph place point at (1,8) and draw a triangle

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I need help 2(4+2x)≥5x+5
timofeeve [1]

Answer:

x ≤ 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2(4 + 2x) ≥ 5x + 5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Distributive Property] Distribute 2:                                                                 8 + 4x ≥ 5x + 5
  2. [Subtraction Property of Equality] Subtract 5x on both sides:                       8 - x ≥ 5
  3. [Subtraction Property of Equality] Subtract 8 on both sides:                        -x ≥ -3
  4. [Division Property of Equality] Divide -1 on both sides:                                 x ≤ 3
5 0
2 years ago
What is the measure of the missing angle?<br> 40<br> 90
Lyrx [107]

Answer:

50°

Step-by-step explanation:

I am assuming that the shape is a right triangle.

All interior angles of a triangle add up to 180°.

x + 40 + 90 = 180\\\rule{150}{0.5}\\x + 130 = 180\\\\x + 130 - 130 = 180 - 130\\\\\boxed{x = 50}

The missing angle should be 50°.

Hope this helps.

8 0
2 years ago
Read 2 more answers
A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of
notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.01 = 0.99, so Z = 2.327.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

M = z\frac{\sigma}{\sqrt{n}}

0.0001 = 2.327\frac{0.0003}{\sqrt{n}}

0.0001\sqrt{n} = 2.327*0.0003

\sqrt{n} = \frac{2.327*0.0003}{0.0001}

(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2

n = 48.73

Rounding up

49 measurements are needed.

7 0
3 years ago
Help please, I don't understand!!! D:
ch4aika [34]
The answer is 2 hours because from 5 to 7  the temperature was raising <span />
4 0
3 years ago
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What's 187 divided by 7?
adell [148]
So,

187 divided by 7
187/7

Mixed: 26 5/7
Decimal: 26.714285 (there is a vinculum over the "714285")
3 0
3 years ago
Read 2 more answers
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