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N76 [4]
3 years ago
6

A 100-point math test contained true/false questions worth 3 points each and short answer questions worth 11 points each. If the

re are 4 true/false questions, how many short answer questions are there?
Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer:

8

Step-by-step explanation:

100 - 12 (true or false) = 88

88/11 = 8

Hope this helps!!

happy holidays

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An orthocenter is the intersection of three
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An orthocenter is the intersection of three <u>Altitudes in a triangle</u>

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Explanation:

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2 years ago
Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +
ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

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4 0
3 years ago
(3x+4)^3=2197 solve this equation
Burka [1]
(3x + 4)³ = 2197

Taking the cube root in this case is easier, although we can do it the extended way which is complicated.

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Now solve normally.

subtract 4
3x + 4 = 13
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3x = 9
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\frac{3x}{3}  =  \frac{9}{3}
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x = 3
7 0
3 years ago
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Please answer me&lt;br /&gt;bis two fifths of c.&lt;br /&gt;4a = 30&lt;br /&gt;Work out the ratio a:b:c&lt;br /&gt;Give your ans
irina [24]

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The ratios is 15 : 8: 20

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bezimeni [28]

Answer:

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3 0
3 years ago
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