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Umnica [9.8K]
3 years ago
8

What is the slope of the line: 7x + 4y=10

Mathematics
1 answer:
lidiya [134]3 years ago
7 0
Change the equation to slope intercept form: y= mx + b. m is slope and b is the y-intercept.

7x+4y=10
subtract 7x
4y=10-7x
divide by 4
y=(10-7x)/4
y=10/4-7x/4
simplify
y=5/2-7x/4
swap positions for correct form
y= -7/4x + 5/2

slope= -7/4
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choli [55]
The volume of B is twice that of A
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and Va=hpir^2

compare
2hpir^2
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8 0
3 years ago
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A series of transformations maps EFGH onto its image. Determine the series of transformations involving a reflection, translatio
Annette [7]

Answer:

See below

Step-by-step explanation:

Firstly, we'll dilate EFGH by any scale factor.

<u><em>Let's find the scale factor first.</em></u>

=> Scale Factor = \frac{Side \ of \ dilated \ figure}{Side \ of \ original \ figure}

=> Scale Factor = \frac{6}{4}

=> Scale Factor = 1.5

1) Dilate the figure by a scale factor of 1.5

2) Reflect it across the origin

3) Translate (Move) 5 units down and then 10 units left.

These transformations will map EFGH onto its image.

5 0
3 years ago
1. Ada purchased a house using a fixed rate mortgage. The annual interest rate is 6.3%
vlabodo [156]

The monthly  payment on the mortgage is option C) $2537.44

<u>Step-by-step explanation</u>:

  • Principal (P): $ 295,000
  • Rate (r): 6.3%  = 0.063
  • Number of times compounded (n): 12months\times15 years = 180
  • Number of years = 15

The formula is A = P(1 + r/n)^nt

⇒ A = 295000(1+0.063/180)^(180\times15)

⇒ A = 295000(180.063/180)^2700

⇒ A = 295000 (1.00035)^2700

⇒ A = 758854.5

Interest = Amount - Principle

⇒ 758854.5 - 295000

⇒ Interest = 463854.5

∴ The monthly payment for 15 years = 463854.5 / (15\times12)

The monthly  payment on the mortgage = 2576.9 (approximately option C)

8 0
4 years ago
(Please use a separate piece of paper to calculate the answer for this problem.) A study to determine the sensitivity and specif
mina [271]

Answer:

67.20\%

Step-by-step explanation:

Given

n =2430 --- sample

r = 16.72\% --- degeneration rate

From the findings, we have:

p = 377 --- tested positive

t =561 --- total test

Required

The positive predicted value (PPV)

This is calculated using:

PPV=\frac{Positive}{Total}

i.e.

PPV = \frac{377}{561}

PPV = 0.6720

Express as percentage

PPV = 0.6720 * 100\%

PPV = 67.20

6 0
3 years ago
Suppose your average, after taking 4 quizzes, is 71 (out of 100). what must your average be on the next 5 quizzes to increase yo
Anton [14]
Short answer: 98
Remark

when you have an average of 71, it's like saying that you took 4 quizzes and got 71 on all of them. 
Step One
Find the total point count for the 4 quizzes.
T_4 = 71 * 4 = 284

Step Two
Create an equation that will give you the necessary point count to average 86.

284 + 5*x = 86 * 9
Why did we do this? It is because you have 9 quizzes altogether. All nine must be something that gives a point count of 86 on each quiz.  You have to put together 9 such quizzes with a total count of 774.

Step three 
Solve the equation.
284 + 5x = 774  Subtract 284 from both sides.
5x = 774 - 284
5x = 490   Divide by 5
x = 490/5
x = 98

You must get an average of 98 on the next 5 quizzes

Answer: 98 <<<<<

5 0
3 years ago
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