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3 years ago

Give two examples that show how using parentheses can change the order I. Witch operations are performed in an expression

1 answer:

3 0

The order of arithmetic operations is given by the acronym PEMDAS, which means
Parentheses,
Exponents,
Multiplication,
Division,
Addition,
Subtraction.

These two examples illustrate how the use of parentheses can change the order.

Example 1:
5+7/3x4-2/5 has an answer of 13.933.

Use PEMDAS to obtain
5+(7/3)x4-(2/5)
= 5+(2.3333x4)-0.4
= 5+9.3333-0.4
= 14.3333-0.4
= 13.933

If we apply the parentheses: (5+7)/3x4-2/5
The result is
(12/3)x4-(2/5)
= (4x4)-0.4
= 16-0.4
= 15.06
which is a different answer.

Example 2:
8/3²x5+4 has the answer 8.444

Use PEMDAS to obtain
8/(3²)x5+4
= (8/9)x5+4
= (0.8889x5)+4
= 4.4444+4
= 8.4444

If we apply the parentheses (8/3)²x5+4:
The result is
2.6667²x5+4
= 7.1113x5+4
= 35.5565+4
= 39.5565
which is a different answer.

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Find all points having an x-coordinate of 2 whose distance from the point (-1,-2) is 5

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$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\
5=\sqrt{(-1-2)^2+(-2-y_1)^2}\\
\sqrt{9+4+4y_1+y_1^2}=5\\
y_1^2+4y_1+13=25\\
y_1^2+4y_1-12=0\\
y_1^2+6y_1-2y_1-12=0\\
y_1(y_1+6)-2(y_1+6)=0\\
(y_1-2)(y_1+6)=0\\
y_1=2 \vee y_1=-6\\\\
\boxed{(2,2),(-6,2)}

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3 years ago

Solve for x.<br> 9(x + 2) = x - 6

jeyben [28]

Answer:

9(x + 2) = x - 6

9x+18=x-6

9x-x=-18-6

8x=-24

x=-24/8=-3 is your answer

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3 years ago

Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the dail

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Daily temp(in F) Cakes sold

42 39

45 52

48 31

54 61

59 72

62 35

64 61

65 34

67 58

75 45

84 24

To find whether there is an association between these two let us find the correlation coefficient between these two variables.

r=-0.1975

Since |r|<0.5, correlation is weak.

Let us test the hypothesis r =0

H0:r=0

Ha:r not equals 0

Test statistic = $\frac{r\sqrt{n-2} }{\sqrt{1-r^2} } \\=\frac{-0.1975\sqrt{11-2} }{\sqrt{1-0.1975^2} }\\=\frac{-0.5625}{{0.9803} } \\=-0.5738$

p =0.298

Since p value >0.10, at 90% significance level we accept that there is no association.

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3 years ago

If a circle has a circumference of 81.64 cm, what is the radius?

ipn [44]

Answer:13cm

Step-by-step explanation:

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3 years ago

Read 2 more answers

PLEASE HELP PLEASE PLEASE

NNADVOKAT [17]

Answer: The value of x =2 units.

Explanation:

Since we have given that

AD= CD

BE= EA

So, we get that D and E are the mid-points of AC and AB respectively.

So, by Mid- point theorem , which states that the line joining the two midpoints is parallel to third side and it is half in length of third side i.e.

$DE=\frac{1}{2}BC$

So, we put the value of DE and BC ,

$5x-3=\frac{1}{2}\times (x+12)\\\\2(5x-3)=x+12\\\\10x-6=x+12\\\\10x-x=12+6\\\\9x=18\\\\x=\frac{18}{9}=2$

Hence, the value of x =2 units.

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3 years ago