Can anyone help me? The directions are:Choose the correct conic section to fit each equation. Is it a Circle, Ellipse, Parabola, or Hyperbola?
1) x^2 + y^2 = 16

Answers

Answer 1

Answer: $Genereal\ formula\ for\ circle:\n(x-a)^2+(y-b)2=r^2\nCenter\ of\ circle:\ S(a,b)\nr-radius\n\nx^2+y^2=4^2\nIt's\ equation\ of\ circle,\ which\ has\ S(0,0)\ and\ radius\ 4.$

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If a + b = 28 and a - b = 10, then b =?
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Someone do this thanks

Answers

Answer:

Step-by-step explanation:

12-2= m(2+3)

m= 10/5=2

Find all the real cube roots of 0.000027.A. 0.0009
B. 0.03 and -0.03
C. 0.0009 and -0.0009
D. 0.03

Answers

cube root of 0.000027 is 0.03

Answer:

The answer is the option D

$0.03$

Step-by-step explanation:

we have

$\sqrt[3]{0.000027}$

we know that

$\sqrt[3]{0.000027}=\sqrt[3]{(27)/(1,000,000)}=\sqrt[3]{(3^(3))/(100^(3))}=(3)/(100)=0.03$

A coffee machine can be adjusted to deliver any fixed number of ounces of coffee. if the machine has a standard deviation in delivery equal to 0.4 ounce, what should be the mean setting so that an 8-ounce cup will overflow only 0.5% of the time?

Answers

The mean will be calculates as follows; from the formula of z-score we shall have:
z=(x-μ)/σ
the z-score associated with 0.5% is 0
thus
0=
(8-μ)/0.4=0
solving for x we get:
μ=9

Answer: μ=9

Final answer:

The question can be addressed using the principles of Normal Distribution. Given the z-chart, 8 ounces is the observed value for the 99.5th percentile, which equates to approximately 2.58 standard deviations. Therefore, the mean setting of the coffee machine should be set around 8 ounces for the cup to overflow only 0.5% of the time.

Explanation:

The situation described in the question is a typical case of application of Normal Distribution. As a reminder, in a Normal Distribution, 99.7% of the values lie within 3 standard deviations of the mean. The question states that the cup should overflow only 0.5% of the time. Therefore, we need to consider the 99.5% of the left side under the normal curve (as we're considering the upper limit), which corresponds to around 2.58 standard deviations under the normal curve.

Given that the standard deviation (σ) is 0.4 ounces, using the formula X = μ + Zσ (where Z is the Z-score corresponding to the desired percentile, μ is the mean we want to find, and X is the threshold value where the cup overflows at 8 ounces), we can substitute the known values and solve for μ.

Therefore, 8 = μ + 2.58 * 0.4 Solving for μ gives us around μ = 7.966, or about 8 ounces. Hence, the mean setting of the coffee machine should be set around 8 ounces to ensure that the cup will overflow only 0.5% of the time.

Learn more about Normal Distribution here:

brainly.com/question/34741155

#SPJ12

Find the limit of the function algebraically. limit as x approaches negative six of quantity x squared minus thirty six divided by quantity x plus six.

Answers

$lim_(x \rightarrow -6) (x^2-36)/(x+6) \n =lim_(x \rightarrow -6) ((x-6)(x+6))/(x+6) \n =lim_(x \rightarrow -6) (x-6) \n =-6-6=-12$

Answer:

-12

Step-by-step explanation:

$\lim_(x \to \ -6) (x^2-36)/(x+6)$

We factor the numerator and try to simplify the fraction as much as we can.

$x^2-36 = x^2 - 6^2$

Apply a^2 - b^2 formula (a+b)(a-b)

$x^2-36 = x^2 - 6^2=(x+6)(x-6)$

$\lim_(x \to \ -6) ((x+6)(x-6)/(x+6)$

Cancel out x+6 from top and bottom

$\lim_(x \to \ -6)(x-6)$

Plug in -6 for x

-6-6 = -12

Find f(a), f(a+h) and the difference quotient (f(a+h)-f(a))/ h, where hod want equal 0. F(x)= 2x/ x-1

Answers

First.

Calculate f'(x) = (2x/x-1)' = (-2)/ $(x-1)^(2)$ ; when x is not 1;

Second.

Calculate f'(0) = -2 => the difference quotient (f(a+h)-f(a))/ h, where hod want equal 0 is -2;

Third.

f(a) = 2a/a-1; f(a+h) = (2a+2h)/(a+h-1);

Answer:

Step-by-step explanation:

Which of the following girls will have the greatest percent of change in height if they each grow 3 inches over the summer?Girl Current Height
Ann 60 inches
Betty 62 inches
Carol 64 inches
Diana 66 inches

Answers

If you would like to know which of the girls will have the greatest percent of change in height, you can calculate this using the following steps:

x% of 60 inches is 63 inches
x% * 60 = 63
x/100 * 60 = 63
x = 63 * 100 / 60 = 105% ... 5%

y% * 62 = 65
y/100 * 62 = 65
y = 65 * 100 / 62 = 104.84% ... 4.84%

w% * 64 = 67
w/100 * 64 = 67
w = 67 * 100 / 64 = 104.69% ... 4.69%

z% * 66 = 69
z/100 * 66 = 69
z = 69 * 100 / 66 = 104.55% ... 4.55%

The correct result would be Ann (60 inches).

Answer:

ann 60 inches

Step-by-step explanation:

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