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Ugo [173]
3 years ago
12

Find the distance between each pair of points. Round to the nearest hundredth.

Mathematics
2 answers:
Anestetic [448]3 years ago
7 0

Answer:

7.8

Step-by-step explanation:

formula:

d=\sqrt{(x2 - x1)^2 + (y2 - y1)^2}

d=\sqrt{(3 - (-2))^2 + (0 - 6)^2}

d=\sqrt{5^2 + (-6)^2}

d=\sqrt{25 + 36}

d=\sqrt{61}

d= 7.81 ~ 7.8

nata0808 [166]3 years ago
6 0

Answer:

7.81

Step-by-step explanation:

Use distance formula: \sqrt{(x2-x1)^{2}+(y2-y1)^{2}  }

So, that converts to

x2-x1 = 3-(-2)=5

y2-y1 = 0-6 = 6

5^{2}=25

6^{2}=36

25+36=61

Now, take the square root of the sum: \sqrt{61}

to get 7.81.

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What is the value of q in the equation 5q-10=75
Alex

Answer:

q=17

Step-by-step explanation:

5q-10=75

add 10 to both sides to cancel out -10 on the left side

5q-10+10=75+10

5q=85

divide both sides by 5 to get rid of the 5 in 5q

5q/5=85/5

resulting in:

q=17

5 0
3 years ago
Wanda took out a personal loan for $16,000 at 9% simple interest how much interest will she pay after 5 years?
alekssr [168]
Interest = $16000 * 9/100 * 5 = $7200
6 0
3 years ago
Read 2 more answers
48 divided by 9853 is what
Vinil7 [7]

Answer:

0.0049

Step-by-step explanation:

4 0
3 years ago
The following events took place at a manufacturing company for the current year: (1) Purchased $115,000 in direct materials. (2)
Elden [556K]

The question was not written properly. Here is the appropriate form of question:

The following events took place at a manufacturing company for the current year:

(1) Purchased $115,000 in direct materials.

(2) Incurred labor costs as follows: (a) direct, $76,000 and (b) indirect, $33,600.

(3) Other manufacturing overhead was $127,000, excluding indirect labor.

(4) Transferred 75% of the materials to the manufacturing assembly line.

(5) Completed 60% of the Work-in-Process during the year.

(6) Sold 80% of the completed goods.

(7) There were no beginning inventories.

1- What is the company's Cost of Goods Sold?

Options:

a. $193,710

b. $154,968

c. $322,850

d. $258,280

Answer:

1- b. $154,968

Step-by-step explanation:

1- Cost of goods sold (COGS) is the is the expense of securing or assembling the items that an organization sells during a period, so the main costs remembered for the measure are those that are directly attached to the creation of the items, including the expense of work (labor cost), materials, and assembling overhead.

0.6*[$0 + 0.75*($115,000) + $76,000 + ($127,000 + $33,600)] <em>(because completed 60% of the Work-in-Process during the year)</em>

= $193,710

80% of $193,710 <em>(because sold 80% of the completed goods)</em>

0.8*$193,710

= $154,968

5 0
3 years ago
Let f(x)=1/2x2+4. The function g(x) is a vertical stretch of f(x) by a factor of 4. What is the equation of g(x)?
andrey2020 [161]

The equation of g(x) is g(x)=2 x^{2}+16

Explanation:

Given that the function f(x) is f(x)=\frac{1}{2} x^{2}+4

Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.

We need to determine the equation of g(x)

<u>Equation of g(x):</u>

The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).

Thus, we have,

g(x)=4 f(x)

Substituting the values,we have,

g(x)=4\left(\frac{1}{2} x^{2}+4\right)

Simplifying the values, we get,

g(x)=2 x^{2}+16

Hence, the equation of g(x) is g(x)=2 x^{2}+16

6 0
3 years ago
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