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luda_lava [24]
3 years ago
5

Graph DEFG after a rotation 270° counterclockwise

Mathematics
1 answer:
MrRa [10]3 years ago
8 0
A 270 degree counter clockwise would be those same coordinates but negative numbers and right underneath the original
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PLEASE HELP WITH MATH CONSTRUCTED RESPONSE!!
strojnjashka [21]

Answer:

  1. y = 0.937976x +12.765
  2. $12,765
  3. $31,524
  4. the cost increase each year

Step-by-step explanation:

1. For this sort of question a graphing calculator or spreadsheet are suitable tools. The attached shows the linear regression line to have the equation ...

... y = 0.937976x + 12.765

where x is years since 2000, and y is average tuition cost in thousands.

2. The y-intercept is the year-2000 tuition: $12,765.

3. Evaluating the formula for x=20 gives y ≈ 31.524, so the year-2020 tuition is expected to be $31,524.

4. The slope is the rate of change of tuition with respect to number of years. It is the average increase per year (in thousands). It amounts to about $938 per year.

5. [not a math question]

5 0
3 years ago
* Required
Furkat [3]
B. 19.8

Use the Pythagorean theorem:
14.2^ + x^ = 24.4^
201.64 + x^ = 595.36
x^ = 393.72
x = 19.84
8 0
2 years ago
Please Help, Will give Brainliest!<br> Law Of Cosines.
stealth61 [152]

Answer:

  B)  a = 6.7, B = 36°, C = 49°

Step-by-step explanation:

Fill in the numbers in the Law of Cosines formula to find the value of "a".

  a² = b² + c² -2bc·cos(A)

  a² = 4² +5² -2(4)(5)cos(95°) ≈ 44.4862

  a ≈ √44.4862 ≈ 6.66980

Now, the law of sines is used to find one of the remaining angles. The larger angle will be found from ...

  sin(C)/c = sin(A)/a

  sin(C) = (c/a)sin(A)

  C = arcsin(5/6.6698×sin(95°)) ≈ 48.31°

The third angle is ...

  B = 180° -A -C = 180° -95° -48.31° = 36.69°

The closest match to a = 6.7, B = 37°, C = 48° is answer choice B.

6 0
3 years ago
Use the given data to find the minimum sample size required to estimate a population proportion or percentage. margin of​ error:
guapka [62]
Minimum required sample size for a desired margin of error and confidence level when it is a proportion problem: n = (z2÷margin of error2)*p-hat*q-hat

The maximum value of p-hat*q-hat occurs where p-hat = .5 (found by taking the derivative of (p-hat)*(1-p-hat) and setting it equal to 0 to find the maximum. n = ( 2.5762( for 99% confidence interval)÷.0482 )*.5*.5 = 720.028 or 721 
7 0
3 years ago
Find the future value of $3000 invested at 6% p.a interest compounded half-yearly for 4 years
alekssr [168]

Answer:

F=$3810

Step-by-step explanation:

F=P(1+i)^{n}

F= future value

P= present value

i = interest

n= number of times money compounded

P=$3000 i=6%   n = 2 X 4= 8

As this is semiannual so 6%/2=3%

F=P(1+0.03)^{8}

F=3000(1.03)^{8}

F=3000(1.267)

F=3810

6 0
3 years ago
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