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3 years ago

What’s the answer??????

Mathematics

2 answers:

Fofino [41]3 years ago

6 0

Answer:

2x=34+56

x=90÷2

therefore x=45

Marina86 [1]3 years ago

4 0

Answer:

Step-by-step explanation:

2x - 56 = 34

2x = 34 + 56

2x = 90

x = 90/2

x = 45

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Identify the quotient in the form a + bi. HELP ASAP PLEASE!!

Step2247 [10]

Solving the expression $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

So, Option A is correct.

Step-by-step explanation:

We need to solve the expression: $\frac{4-5i}{2+3i}$

Multiplying and dividing by 2-3i

$=\frac{4-5i}{2+3i}*\frac{2-3i}{2-3i}\\=\frac{4-5i*2-3i}{2+3i*2-3i}\\=\frac{4(2-3i)-5i(2-3i)}{(2)^2-(3i)^2}\\=\frac{8-12i-10i+15i^2)}{4-9i^2}\\We\,\,know\,\, i^2=-1\\=\frac{8-12i-10i+15(-1)}{4-9(-1)}\\=\frac{8-15-12i-10i}{4+9}\\=\frac{-7-22i}{13}\\=-\frac{7}{13}-\frac{22i}{13}$

So, solving the expression $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

So, Option A is correct.

Keywords: Complex numbers

Learn more about Complex numbers at:

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3 years ago

A pyramid has a base 16 inches x 16 inches and a slant height of 10 inches. what is the volume in cubic inches

gizmo_the_mogwai [7]

Answer:

512 in³

Step-by-step explanation:

The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...

h² +8² = 10²

h² = 100 -64 . . . . . subtract 8²

h = 6 . . . . . . . . . . . . take the square root of 36

Then the volume is found using ...

V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³

The volume is 512 cubic inches.

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The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.

4 0

4 years ago

According to a certain website, wine critics generally use a wine-scoring scale to communicate their opinions on the relative qu

const2013 [10]

Answer:

$\bar x = 82$

$\sigma = 9.64$

Step-by-step explanation:

Given

$n = 12$

$87\ 91\ 86\ 82\ 72\ 91\ 60\ 77\ 80\ 79\ 83\ 96$

Solving (a); Point estimate of mean

To do this, we simply calculate the sample mean

$\bar x = \frac{\sum x}{n}$

$\bar x = \frac{87+ 91+ 86+ 82+72+91+60+77+80+79+83+96}{12}$

$\bar x = \frac{984}{12}$

$\bar x = 82$

Solving (b); Point estimate of standard deviation

To do this, we simply calculate the sample standard deviation

$\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n - 1}$

$\sigma = \sqrt\frac{(87-82)^2+ (91-82)^2+ ....+ (79-82)^2+ (83-82)^2+ (96-82)^2}{12-1}$

$\sigma = \sqrt\frac{1022}{11}$

$\sigma = \sqrt{92.91}$

$\sigma = 9.64$

<em>Note that: The sample mean and the sample standard deviation are the best point estimators for the mean and the standard deviation, respectively.</em>

<em>Hence, the need to solve for sample mean and sample standard deviation</em>

3 0

3 years ago

The cost of making a shirt is half of what the shirt normally sells for. Today, however, the shirt is 15% discount feom it’s nor

alexandr1967 [171]

Let the cost of the shirt be y and the price by the which the shirt is sold is 2y. This means that at 15% discount, the shirt is sold at 1.7 of its original cost.

7 0

3 years ago

(x-5y,-3):(1,3y-x) find value of x and y<br>Please help me to solve thiss!!

11Alexandr11 [23.1K]

Answer:

x=11, y=2

Step-by-step explanation:

We can set 1 equal to x-5y and then solve for x. and y.

x = 5y+1

y = x-1/5

We can use this information and plug back in the values for 3y-x or x-5y.

We can set -3 = 3y-x or 1 = x-5y.

To solve for x using -3 = 3y-x we can swap the values of x and y which would make it -3 = 3(x-1/5)-5(x-1/5)+1.

We can do a bit of algebra which would get us x = 11.

Knowing that y = x-1/5 we can plug in 11 for x. y = 11-1/5.

y=2

x=11, y=2

3 0

2 years ago