If a cylindrical vessel is 12 cm long and its surface area is 540 cm2, set up an
equation to find its radius.

[tex] \frac{12 {x}^{8} }{3 {x}^{2} } \\ = \frac{12}{3} {x}^{8 - 2} \\ = 4 {x}^{6} [/tex]

Answer:

[tex] {4x}^{6} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Using the power rule for differentiation, the first derivative of

[tex]f(x) = -x^{\frac12}[/tex]

is

[tex]f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}[/tex]

and the second derivative is

[tex]f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}[/tex]

which makes E the correct choice.

Answer:

No

Step-by-step explanation:

A function cannot have two different points with the same x-coordinate. For instance in this one, (0,3) & (0,8) share the same value of x

Answer:

1 inch : 50 miles

Step-by-step explanation:

550 miles / 11 inches = 50miles/inch

Every inch on the map represents 50 miles.

Answer:

3.3%

Step-by-step explanation:

77500-75000=2500

2500/75000 x100=3.3%

Answer:

30 parks

Step-by-step explanation:

9÷0.3=30 parks

Answer:

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (5, 7 ) , then

y = a(x - 5)² + 7

To find a substitute (10, - 3 ) into the equation

- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )

- 10 = 5²a = 25a ( divide both sides by 25 )

[tex]\frac{-10}{25}[/tex] = a , that is

a = - [tex]\frac{2}{5}[/tex]

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form

Step-by-step explanation:

area of ∆ is 10in².

hope this helps you.

Answer:          

asd

Step-by-step explanation:

Answer: D i think

Step-by-step explanation:

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

Simplify the expression, then we have

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

⇒ − 7x + 6x − 24 − 2x − 6 + 10

⇒ − 3x − 20

⇒ − (3x + 20)

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ5

Answer: A

Step-by-step explanation:

The answer is A because, if you look at the line on the graph it’s a dotted line.

This means it’s either a < or >. Next you can see the y-intercept is -1, which actually doesn’t help you because all the answers hace the same y-intercept but still good to know. Finally if you use rise or run you can find the slope to be -2x.

Answer:

Word Problem: The length of a shoelace is 4 and 3/8    meters. How many shoelaces can be made from an 8-meter lace?

Step-by-step explanation:

Answer:

Step-by-step explanation:

$425

Answer:

$525

Step-by-step explanation:

If it is 50 per hour, multiply 50 by 10 which equals 500. Since he charges 25 for a call, add that amount to 500, which would be 525.

By applying the Pythagorean theorem, we will find that the length of the other leg of the right triangle is 40.7 yards.

If for right triangle we define A and B as the length of the two legs, and H as the length of the hypotenuse, the Pythagorean theorem says that:

A^2 + B^2 = H^2

Here we know that:

A = 14 yd

H = 43 yd

And we want to find the other leg, then we can replace that in the equation to get:

(14yd)^2 + B^2 = (43yd)^2

B = √( (43yd)^2 - (14yd)^2) = 40.7 yd

So the other leg length is 40.7 yards.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

From the problem statement Melanie has 10 packets of 20 biscuits

60 biscuits

Solution

Let us find 3/10 of 10 packets

= 3 packets

In one packet there are 20 biscuits,

Hence in 3 packets there will be

20*3 = 60 biscuits

From the solution above Melanie served 60 biscuits in the plate

Learn more about fraction here:

https://brainly.com/question/78672

Answer:

so first you add something and then subtract and then divide then you er butf then youcan see toplod ej

Answer: slope : 3/4 points: (0,-3) (4,0)

Step-by-step explanation:

i looked it up

Answer:

look at graph

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The reason why the given graph relation is considered to be a function is because;

A. Yes, because every x-value corresponds with a single y-value.

From the given graph, we see the (x, y) coordinates as;

(5, 4)

(7, 2)

(6, 9)

(3, 10)

Now, we see that none of the x-values are the same and likewise none of the y-values are the same.

This means that each of the x-values have a unique y-value.

Thus, it can be said to be a function

Read more about properties of functions at;https://brainly.com/question/18427017

Answer:

B) SAS

Step-by-step explanation:

Explanation:

SAS = side angle side

The sides with the tickmarks form one pair of congruent sides, and refer to the first "S" of "SAS".

The marked angles are congruent, and they refer to the "A" in "SAS".

Lastly, the overlapping or shared side TJ leads to the second "S" of "SAS".

Notice how the angles are between the sides mentioned. The order is important.

Answer:

3 *6=12

3+6=9

9+3=12

2*5=2+5=7

7+2=9

a*b=a+b+a

Answer:

x=8 and is not extraneous

Step-by-step explanation:

2(x-5)+11=17

2x-10+11=17

2x+1=17

2x=17-1

2x=16

x=8

extraneous means it is a solution, but it is not possible in the equation, to determine if it is extraneous, plug it in to the original equation

2(8-5)+11=17

2(3)+11=17

6+11=17

17=17

since it works in the orignial equation it is not extraneous

The solution to the equation 2(x - 5) + 11 = 17 is x = 8

From the question, we have the following parameters that can be used in our computation:

2(x - 5) + 11 = 17

When the like terms are evaluated, we have

2(x - 5) = 6

Divide through the equation by 2

x - 5 = 3

So, we have

x = 3 + 5

Evaluate

x = 8

Hence, the solution to the equation is x = 8

Read more about equation at

https://brainly.com/question/32583193

#SPJ3

Answer:

29/6 = 4.83.. or 4.8

Answer:

14

Step-by-step explanation:

Percentage increase =

2% × 700 =

2 ÷ 100 × 700 =

2 × 700 ÷ 100 =

1,400 ÷ 100 =

14

Answer:

Step-by-step explanation:

In order to use a percent in the math work, it must be changed to a decimal, so instead if 2% use .02

700 × .02 = 14

14 is the amount of the increase, so it must be added onto the strarting amount.

700 + 14 = 714

A different way to do this is to say the new amount will be all of the original amount (100%) and also the increase (2%) So in just one step we can calculate th new amount

700 × 1.02 = 714

714 is the price now.

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9 ( add 9 to both sides )

- 1 < x , therefore

x > - 1

Answer:

x > -1

Step-by-step explanation:

why:

-10  < x-9         for exemple 2< 3

x-9  > -10                 3 > 2      

just add 9 to both sides

x-9 +9 > -10 +9

x > -1

meth2

x-9  > -10  

x > -10 +9       left  to right

x> -1

Answer:

2nd graph

Step-by-step explanation:

Plz mark brainliest

Answer:

Its the second option

Step-by-step explanation:

i just did it