The graph shows the function f(x) = 3x.What is the value of x when f(x) = 9?

2. The volume of a cylinder varies jointly with its height and the square of the radius. A 7.85 cubic inch spice container is 2.

Natali [406]

Answer:

Volume=21.195 cubic inch

Step-by-step explanation:

The volume of a cylinder varies jointly with its height and the square of the radius is expressed as

V∝hr^2

Introducing our constant of proportionality,K we have that

V =Khr^2

Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that

V =Khr^2

7.85=K 2.5 X 1^2

K=7.85/2.5 x1

K=3.14

Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?

V =Khr^2

V=3.14 X 3 X 1.5^2

V=21.195 cubic inch

6 0

3 years ago

Solve for x. –30 = 5(x + 1)

zmey [24]

Answer: x= -7

Step-by-step explanation: distribute first then minus 5 from -30 then divide by 5 x

7 0

3 years ago

The high school soccer team can have no more than 26 players. Write and solve an inequality to determine how many more players c

Mariana [72]

Answer:

The inequality to determine how many more players can make the team is:

$x+17\leq 26$

On solving it we get : $x\leq 9$

Thus, the number of players that can still make in the team must be no more than 9.

Step-by-step explanation:

Given:

Maximum number of players the soccer team can have = 26

Number of players already chosen by coach = 17

To find how many players can still make the team.

Solution:

Let the players that can still make the team be = $x$

Players already chosen = 17

Total number of players in the team can be given as = $x+17$

Total numbers must not exceed 26.

So, the inequality can be written as:

$x+17\leq 26$

Solving for $x$

Subtracting both sides by 17.

$x+17-17\leq 26-17$

∴ $x\leq 9$

Therefore, no more than 9 players can still make in the soccer team.

3 0

3 years ago

In a math class with 27 students, a test was given the same day that an assignment was due. There were 17 students who passed th

timama [110]

Answer:

The probability that a student who completed the homework failed the test is 0.211.

Step-by-step explanation:

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

The conditional probability of an event A given that another event B has already occurred is:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Denote the events as follows:

P = a student passes the test

F = a student fails the test

X = a student completes the assignment

Y = a student does not completes the assignment

From the information provided the summary table is as follows:

P F Total

X 15 4 19

Y 2 6 8

Total 17 10 27

Compute the probability that a student completed the assignment and failed the test as follows:

$P(X\cap F)=\frac{n (X\cap F)}{N}=\frac{4}{27}$

Compute the probability that a student completed the assignment as follows:

$P(X)=\farc{19}{27}$

Compute the probability that a student failing the test given that the student completed the assignment as follows:

$P(F|X)=\frac{P(X\cap F)}{P(X)}=\frac{4/27}{19/27}=\frac{4}{19}=0.21053\approx 0.211$

Thus, the probability that a student who completed the homework failed the test is 0.211.

7 0

3 years ago

help me please complete the table at the right by writing the fraction of the day each animal sleeps and an equivalent fraction

finlep [7]

Answer:

1 day = 24 hours

Divide each of the "number of hours spent sleeping" by the total number of hours in a day (24). Then divide the numerator and denominator by the highes common factor to reduce the fraction to its simplest equivalent.

$\sf Cat=\dfrac{12}{24}=\dfrac{12 \div 12}{24 \div 12}=\dfrac{1}{2}$

$\sf Cow=\dfrac{4}{24}=\dfrac{4 \div 4}{24 \div 4}=\dfrac{1}{6}$

$\sf Squirrel=\dfrac{15}{24}=\dfrac{15 \div 3}{24 \div 3}=\dfrac{5}{8}$

$\sf Tiger=\dfrac{16}{24}=\dfrac{16 \div 8}{24 \div 8}=\dfrac{2}{3}$

8 0

2 years ago