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3 years ago

9

A student received an 82$ on an exam if there were 50 questions on the exam which ratio would show the number of questions answe

red correctly

1 answer:

Aloiza [94]3 years ago

7 0

He answered 41 questions right.

41:50

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Value of complex number i^7+1/i^4

Vera_Pavlovna [14]

$i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2 \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1$

7 0

2 years ago

Is (-a + b)² = a² - 2ab + b² right or wrong, and why?

antiseptic1488 [7]

Answer:

$\huge\boxed{\sf Right.}$

Step-by-step explanation:

$(-a+b)^2$

Let's apply the formula (x+y)² = x² + 2xy + y²

Here, x = -a and y = b

So,

= (-a)² + 2(-a)(b) + (b)²

= a² - 2ab + b²

Hence, it has been proved that (-a + b)² = a² - 2ab + b².

$\rule[225]{225}{2}$

Hope this helped!

<h3>~AH1807</h3>

6 0

2 years ago

On Wednesday, James slept for <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D" id="TexFormula1" title="\frac{3}{8}" alt=

Hatshy [7]

Answer:

I believe he slept for 9 hours of the day

Step-by-step explanation:

⅜ of 24

24 ÷ 8 = 3

3 × 3 = 9

8 0

2 years ago

Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her fr

marissa [1.9K]

Answer:

The width of the frame must be 12 inches (15in by 12in)

Step-by-step explanation:

Given

See attachment for painting and frame

Required

Determine the dimension of the frame

To do this, we make use of the following scale ratio.

$Scale = Length : Width$

For the painting,

$Scale = 20: 16$

For the frame,

$Scale = 15: w$

Since she wants to maintain the same ratio; both scale must be the same.

i.e.

$15 : w = 20 : 16$

Express as fraction

$\frac{w}{15} = \frac{16}{20}$

$\frac{w}{15} = 0.8$

Make w the subject

$w = 15 * 0.8$

$w = 12$

<em>The width of the frame must be 12 inches i.e. 15in by 12in frame</em>

8 0

3 years ago

What property does the following equation show? 5+7+9=7+5+9<br>

dsp73

Answer: it’s commutative property.

Step-by-step explanation: commutative property is when you switch numbers but the answer still stays the same. Hope this helped!

8 0

2 years ago