MATHEMATICS COLLEGE

H(t) = – 16t2 + 48t + 28

Answers

Answer 1

Answer:

Answer:

-4(2t+1)(2t-7)

Step-by-step explanation:

First factor out the common term -4

Then factor out -4^2

Answer 2

Answer:

Answer:

the answer is( -42t+1)(2t-7)

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According to CNN business partner Careerbuilder, the average starting salary for accounting graduates in 2018 was at least $57,413. Suppose that the American Society for Certified Public Accountants planned to test this claim by randomly sampling 200 accountants who graduated in 2018. State the appropriate null and alternative hypotheses.
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In this figure,AB | CD and
mZ2 = 60
m_6
What is
Enter your answer in the box.

Answers

Answer:

the measurement of angle 6 is 60

Angle 6 is 60........

Below, the two-way table is given for a class of students. Freshmon Sophomora fontores Seniors Male 4 6 2 2 Female 3 4 6 б 3 Total If a student is selected at random, find the probability the student is a junior. Round to the nearest whole percent.

Answers

Answer:

22% probability the student is a junior.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

The table says that:

There are 4 + 6 + 2 + 2 + 3 + 4 + 6 + 6 + 3 = 36 total students.

2 + 6 = 8 are juniors.

If a student is selected at random, find the probability the student is a junior.

8/36 = 0.2222 = 22.22%

Rounding to the nearest whole percent, 22% probability the student is a junior.

Answer:

27%

Step-by-step explanation:

What is the circumference of circle p?
Express your answer in terms of pi.

Answers

C = 2 pi r, and r = 3ft, so C=2*pi*3 = 6pi ft.

Answer:

6π ft

Step-by-step explanation:

PA=3ft

Then just double it to get your answer.

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?

Answers

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5) are the coordinates of the center of the circle.

r=6 is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

Dy/dx=2xy/x²+y² solve

Answers

Answer:

$y=(-1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)\ or \ (1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)$

Step-by-step explanation:

As it is first order nonlinear ordinary differential equation

Let y(x) = x v(x)

2xy/(x²+y²)=2v/(v^2+1)

dy=xdv+vdx

dy/dx=d(dv/dx)+v

x(dv/dx)+v=(2v)/(v^2+1)

dv/dx=[(2v)/(v^2+1)-v]/x

$(dv)/(dx)=(-(v^2-1)v)/(x(v^2+1))$

$(v^2+1)/((v^2-1)v)dv=(-1)/(x)dx$

∫ $(v^2+1)/((v^2-1)v)dv$ = ∫ $(-1)/(x)dx$

u=v^2

du=2vdv

Left hand side:

∫ $(v^2+1)/(v(v^2-1))dv$

=∫ $(u+1)/(2u(u-1))du$

= $(1)/(2)$ ∫ $((2)/(u-1) -(1)/(u) )du$

= $ln(u-1)-(ln(u))/(2) +c$

= $ln(v^2-1)-(ln(v^2))/(2)+c$

Right hand side:

$=-ln(x)$

Solve for v:

$v=-\frac{-c_(1)+\sqrt{c_(2)+4x^2 } }{2x} \ or \ \frac{-c_(1)+\sqrt{c_(2)+4x^2 } }{2x}\n$

$y=(-1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)\ or \ (1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)$

Miguel has 22 cans of regular soda and 99 cans of diet soda. If he decides to sell it by package with the same number of regular soda and diet soda in one pack without leaving one, how many equal packages can he make? How many of regular soda and diet soda in one package?

Answers

3 regular sodas and 1 diet

Final answer:

The greatest common divisor (GCD) of 22 and 99 is 11. Therefore, Miguel can make 11 equal packages where each package has 2 cans of regular soda and 9 cans of diet soda.

Explanation:

This problem is about finding the greatest common divisor (GCD) of two numbers, also known as the greatest common factor. The number of packages Miguel can make, and the amount of regular and diet soda in each, depend on the GCD of 22 (number of regular soda) and 99 (number of diet soda).

To find the GCD, you can use the Euclidean Algorithm. However, it is easily observed in this case that 22 and 99 can both be divided exactly by 11, hence, 11 is the greatest common divisor. This means Miguel can prepare 11 packages where each package contains 2 cans of regular soda and 9 cans of diet soda.