MATHEMATICS HIGH SCHOOL

Alex has 19 marbles,Emily has 5 marbles.
How many more marbles does Alex have than Emily?
marbles

Answers

Answer 1

Answer:

Answer:

14!

Step-by-step explanation:

Subtract 5 from 19 and get 14!

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X+2y+6=0

Solve for the value of "y"
And explain how to graph the result.

Answers

x + 2y + 6 = 0

Subtract (x + 6) from each side :

2y = -x - 6

Divide each side by 2 :

y = -1/2 x - 3

When the equation is in this form, you can look at it and know immediately
that the slope of its graph is -1/2 and its graph crosses the y-axis at y= -3.

In order to graph it, draw a straight line with a slope of -1/2 through the point
on the y-axis where y= -3 .

Solve 2cos^2x + cosx − 1 = 0 for x over the interval [0, 2 π ).a.π and π/3
b.π, π/3, and 5π/3
c.1 and 2π/3
d.1, 2π/3, and 4π/3
e.1, π/3, and 5π/3

Answers

Let cos x = a, then
2a^2 + a - 1 = 0,
solving the quadratic equation, we have:
a = 0.5 or -1.

i.e. cos x = 0.5 or cos x = -1
for cos x = 0.5,
x = pi/3, 2pi - pi/3 = pi/3, 5pi/3

for cos x = -1,
x = pi

therefore, x = pi, pi/3, 5pi/3
Answer: B

Answer:

Option B is correct for plato

Step-by-step explanation:

$\pi ,(\pi )/(3), and (5\pi )/(3)$

You can model the population of a certain city between the years 1965 and 1995 by the radical function P(x)= 75,000 cubed root of (x-1940) . Using this model, in what year was the population of that city 245,000?

Answers

P(x)= 75,000*(x-1940)^(1/3)
then the P = 245000 means

245000 = 75,000*(x-1940)^(1/3)
(245000/75000)^3 + 1940 = X
X ≈ 1974

Which characteristic of a data set makes a linear regression model unreasonable? a slope close to 0 a correlation coefficient close to 0 a slope close to –1 a correlation coefficient close to –1

Answers

Answer:

A correlation coefficient close to zero

Step-by-step explanation:

This makes linear regression unreasonable because the correlation coefficient shows how related the data points are, -1 and 1 being very strong and 0 being uncorrelated. So the line of best fit would not make sense because the data points are random in relation to one another.

Answer: B. A correlation coefficient close to zero

Step-by-step explanation:

How many sides does a cylinder have

Answers

Hi, A cylinder has 3 faces - 2 circle ones and a rectangle

correct, it has 2 sides.

Find the area of the circle in terms of pi. 20mAnswers
20 pi m^2
40 pi m^2
400pi m^2
200pi m^2

Answers

What is the area of a circle formula?

The area of a circle formula:
$\pi r^2$

So all you have to do...
is plug in 20 for r!

$20 \pi ^2$
20 x 20 is 400.
$400 \pi$

If you don't want pi...
400 x pi is about:
1256.64

The answer is (C).

Final answer:

The area of the circle with a radius of 20m is 400π square meters.

Explanation:

The formula to find the area of a circle is π * radius2. Given that the radius is 20m, we can substitute it into the formula: Area = π * (20m)2. This simplifies to 400π m2. Therefore, the correct answer is 400π m2.