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matrenka [14]
4 years ago
12

Solve for the equation for all x values by completing the square x^2 - 27= 67

Mathematics
1 answer:
navik [9.2K]4 years ago
6 0

Answer:

The solutions for the equation x^2\:-\:27=\:67 are x=\sqrt{94},\:x=-\sqrt{94}.

Step-by-step explanation:

To find the solutions for the equation x^2\:-\:27=\:67 you must:

\mathrm{Add\:}27\mathrm{\:to\:both\:sides}\\\\x^2-27+27=67+27

\mathrm{Simplify}\\\\x^2=94

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{94},\:x=-\sqrt{94}

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a 14 ounce energy drink contains 10 1/2 teaspoons of sugar. How much sugar is in one ounce of the drink?
Y_Kistochka [10]
In this case u need to divide 10 1/2 by 14 coz theres 14 ones in 14
so 10 1/2 divided by 14 = 0.75
<em>so theres 0.75 sugar in one ounce of drink ;)</em>
5 0
4 years ago
The controller of MingWare Ceramics Inc. wishes to prepare a cost of goods sold budget for September. The controller assembled t
zalisa [80]

The preparation of the Cost of Goods Sold Budget for MingWare Ceramics Inc. in September is as follows:

<h3>Cost of Goods Sold Budget: </h3>

Beginning inventory of finished goods $11,850

Cost of goods manufactured                485,310

Ending inventory of finished goods      (12,670)

Cost of Goods Sold                          $484,490

<h3>What is the cost of goods sold budget?</h3>

The cost of goods sold budget sums the costs of the beginning inventory of finished goods with the cost of goods manufactured and subtracts the ending inventory of finished goods.

The cost of goods sold budget is based on the cost of goods manufactured budget.

<h3>Data and Calculations:</h3>

Direct materials:                            Enamel        Paint     Porcelain      Total    

Total direct materials purchases

budgeted for September            $35,870    $7,530    $139,890  $183,290

Estimated inventory, September 1   1,730        4,150          6,920      12,800 Desired inventory, September 30 (2,980)      (2,710)         (7,150)    (12,840)

Materials used in production                                                          $183,250

Direct labor cost:           Kiln Department    Decorating Department   Total

Total direct labor cost

 budgeted for September    $51,550                   $149,500        $201,050

Finished goods inventories:             Dish       Bowl     Figurine             Total

Estimated inventory, September 1  $5,810   $3,310     $2,730        $11,850

Desired inventory, September 30    3,720    4,590       4,360         12,670

<h3>Cost of goods manufactured budget: </h3>

Work in process inventories:

 Estimated inventory, September 1      $3,540

Direct materials used in production $183,250

Direct labor costs                              $201,050

Total factory overhead costs             $99,450

 Desired inventory, September 30       (1,980)

Cost of goods manufactured           $485,310

<h3>Budgeted factory overhead costs for September: </h3>

Indirect factory wages $80,400

Depreciation of plant and equipment 10,550

Power and light 5,110

Indirect materials 3,390

Total 99,450

Thus, to prepare the cost of goods sold, as above, MingWare Ceramics, requires to determine the cost of goods manufactured for September.

Learn more about the cost of goods sold budget at brainly.com/question/16868017

SPJ1

6 0
2 years ago
Rafael takes home $4200 per month. What is the maximum amount he can
galben [10]

Answer:

A bad debt ratio of more than 10% is considered high and often is a sign that you are in danger of credit overload. So, I'd $420 is the maximum amount he can spend on credit card payments and loan each month.

Step-by-step explanation:

Let's clear this with an example:

Rafael makes $4,200 a month and let's say he spends $550 on credit card payments and $450 on an loans.

Then, the ratio calculation would be $1000 / $4,200 = 0.24

Multiply that by 100 for a debt-income-ratio of 24%.

In this example, Rafael spends almost a quarter of his income on debt which is considered bad debt in economics.

6 0
3 years ago
How do you solve this?
alekssr [168]

Answer:

84 ft or  84.474

Step-by-step explanation:

46.93 ft/sec * 1.8 sec = 84 ft

Explanation:

The reason you can use simple multiplication is because of the units:

46.93   f t/ sec   ⋅  1.8 sec  would equal  84.474  f t ⋅ sec/ sec

 

however the seconds cancel out, leaving you with just the distance traveled.

The reason the answer is 84 instead of 84.474 is because the number 1.8 only contains two significant figures

Hey love thanks for reposting this so we can see it better! i hope this answers your question if it doesn't let me know se i can better help you understand. Thank you! have a wonderful day and good luck in this class you can do it just keep trying! :)

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3 years ago
Find the unit impulse response of a system specified by the equation
STatiana [176]
What's the equation?

impulse = force times time
3 0
4 years ago
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