Find the total surface area of a cylinder. Use 3.14 for pi

Marcus is 5 19/24 feet tall. Ben is 5 9/16 feet tall. Which of the two boys is taller?

Ksju [112]

well, Marcus and Ben are both 5 feet tall and a little bit more, Marcus is 19/24 more and Ben is 9/16 more, so the 5's in the fraction are the same, so which one is larger, 19/24 or 9/16?

we can simply put both fractions with the same denominator, by multiplying one by the other's denominator, so let's proceed,

$\bf \stackrel{\textit{\large Marcus is taller}}{5~feet + \left( \cfrac{19}{24}\cdot \cfrac{16}{16}\implies \boxed{\cfrac{304}{384}} \right)}\qquad \qquad \qquad \stackrel{\textit{\large Ben}}{5~feet + \left( \cfrac{9}{16}\cdot \cfrac{24}{24}\implies \boxed{\cfrac{216}{384}} \right)}$

4 0

3 years ago

Graph. y−2=23(x+4) Use the Line Tool and select two points to graph the equation. Use the slope and the point provided in the eq

sveticcg [70]

Answer:

See attached picture.

Step-by-step explanation:

The equation is in point slope form $y - y_1 = m(x-x_1)$ where m is the slope and $(x_1,y_1)$ is a point.

For the equation y-2 = 23(x+4), graph the point (-4,2). Then from this point count up 23 and over to the right 1.

This is the graph of the line.

3 0

3 years ago

The starting salary at a company is $42,000 per year. The company automatically gives a raise of 3% per year. Write a recursive

cricket20 [7]

To solve this, we are going to use the recursive formula for a geometric sequence: $a_{n}=a_{1}r^{n-1}$
where
$a_{n}$ is the nth term of the geometric sequence.
$a_{1}$ is the first term of the geometric sequence.
$r$ is the common ratio
$n$ is the position of the term in the sequence.

We know that the starting salary is $42,000, so $a_{1}=42000$ . Now, to find the common ratio $r$ , we need to find the next term in the sequence first:
We know from our problem that the company automatically gives a raise of 3% per year, so the next term in the sequence will be 42000 + 3%(42000) = 42000 + 1260 = 43260. Remember that the common ratio is the current term of the geometric sequence divided by the previous term of the sequence; we know that our current term is 43260 and the previous term is 42000, so:
 $r= \frac{43260}{42000}$
$r=1.03$
Now we can plug the values in our recursive formula:
 $a_{n}=a_{1}r^{n-1}$
$a_{n}=42000(1.03)^{n-1}$

We can conclude that the recursive definition for the geometric sequence formed by the salary increase is: $a_{n}=42000(1.03)^{n-1}$

8 0

3 years ago

Plzz help me with this question my class test is going on

Marysya12 [62]

Step-by-step explanation:

2x+3y+5+4x-7y-8

2x+4x+3y-7y+5-8

6x-4y-3

4 0

3 years ago

Read 2 more answers

the temperature is already at 40 degrees it rises 4.5 degrees per minute how long will it take to get to 76 degrees

Andrei [34K]

Answer:

It will take 8 minutes for the temperature to reach 76°

Step-by-step explanation:

The expression for the total temperature in degrees at time t can be written as;

T=I+EM

where;

T=total temperature

I=initial temperature

E=temperature increase per minute

M=number of minutes

This can also be written as;

total temperature=initial temperature+temperature increase per minute×number of minutes

In our case;

T=76°

I=40°

E=4.5°

M=m

replacing;

76=40+(4.5×m)

4.5 m=76-40=36

(4.5 m)/4.5=36/4.5

m=8

It will take 8 minutes for the temperature to reach 76°

7 0

4 years ago