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3 years ago

Consider the sequence of steps to solve the equation: 3(x - 4) + 5x 9x - 36

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

3 0

Answer:

Distributive Property

Step-by-step explanation:

You are distributing 3 to x and -4

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How many of these pitchers can a cylinder with height 9 inches and 2r fill? Explain how you know.

irakobra [83]

Answer:

4 pitches

Step-by-step explanation:

if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.

Solution:

The volume of a cylinder is given by:

V = πr²h;

where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.

A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:

V = πr²h = πr²(9) = 9πr²

V = volume of pitcher = volume of cylinder with radius r = 9πr²

For a cylinder with height 9 inches and radius 2r its volume is:

V2 = πr²h = π(2r)²(9) = 36πr²

Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:

number of pitches = 36πr² / 9πr² = 4

Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.

3 0

3 years ago

Complete the following graphic organizer and then to find the missing information

Travka [436]

a) 4

b) 47

c) 225

d) 120/400

4 0

3 years ago

Read 2 more answers

Need helppppp asapppp

Ymorist [56]

The answer is C. 65........

4 0

4 years ago

Read 2 more answers

FIRST RIGHT ANSWER GETS BRAINIEST

Diano4ka-milaya [45]

OK, no figure, but from the comment is sounds like the grey area is the big circle minus the small circle.

The diameter of the small circle is 2 so its radius is 1 and its area πr² is π.

The radius of the larger circle is 4, so area 16π

The shaded area is 16π - π

Answer: 15π

6 0

4 years ago

A ball is thrown vertically upward from the top of a building 160 feet tall with an initial velocity of 48 feet per second. The

alina1380 [7]

Answer:

# after 5 seconds, the ball strikes the ground

# The ball reaches maximum height at t = 1.5 seconds

# The max height is 196 feet

Step-by-step explanation:

The equation is:

$d(t)=-16t^2+48t+160$

t is the time

d(t) is the distance traveled

Initial height is 160 feet and initial velocity is 48 ft/sec

If we want to find the time it takes the ball to hit the ground, we let d(t) equal to 0 and find t. Shown below:

$-16t^2+48t+160=0\\t^2-3t-10=0\\(t-5)(t+2)=0\\t=5,-2$

We disregard t = -2 since time can't be negative. We take t = 5

Thus, after 5 seconds, the ball strikes the ground.

The equation is a quadratic of the form: $ax^2+bx+c$

Matching equations, we can say:

a = -16

b = 48

c = 160

The time when ball reaches max height is given as:

$t=-\frac{b}{2a}$

Substituting, we find:

$t=-\frac{b}{2a}\\t=-\frac{48}{2(-16)}\\t=1.5$

The ball reaches maximum height at t = 1.5 seconds

The max height can be found by putting t = 1.5 into the original equation. Shown below:

$d(t)=-16t^2+48t+160\\d(1.5)=-16(1.5)^2+48(1.5)+160\\=196$

The max height is 196 feet

8 0

3 years ago