Find the surface area of the cylinder

Isolate the absolute-value term:

2 |3x - 5| - 4 = 12

2 |3x - 5| = 8

|3x - 5| = 4

Recall the definition of absolute value:

[tex]|x| = \begin{cases}x & \text{if }x \ge0\\-x&\text{if }x<0\end{cases}[/tex]

We consider two cases:

• If 3x - 5 ≥ 0, then |3x - 5| = 3x - 5, and the equation resolves to

3x - 5 = 4

3x = 9

x = 3

• Otherwise, if 3x - 5 < 0, then |3x - 5| = -(3x - 5) = -3x + 5, hence

-3x + 5 = 4

-3x = -1

x = 1/3

Answer:

Fraction: 5/8
Radians: 5pi/4 Radians
Step-by-step explanation:

1A Fraction
A circle has a total of 360 degrees, in order to solve the first part we must use this preknowledge.
As we are given 255 degrees, we simply order a fraction:
Degrees Given/360 Hence,

255/360

Simplify

5/8
1B Radians

In order to convert degrees to radians we use a simple trick, we must multiply the degree measure (225) by pi/180 because a full circle = 2pi radians or 360 degrees hence,

225 x pi/180

Simplify

5pi/4 radians

= 4 × 10^2

= 6 × 10^3

= 2 × 10^6

= 4 × 10^-1

( to find the standard form just count the zeros. )

a)= 4×10^2

b)= 6×10^3

c)= 2×10^6

d)= 4×10^-1

hope this helps

The graph of the function f(x) = –x^2 – 4x +2 are true options 1 and 4 are correct.

We have the given,

The graph of the function f(x) = –x^2 – 4x+ 2

The statements that agree with the graph of the equation are as follows:

1. The domain is {x|x ≤ –2}.

The set of points at which function is defined.

4. The function is decreasing over the interval (−4, ∞).

From the given graph,

We can say that the above statements are true.

To learn more about graphical functions visit:

https://brainly.com/question/4025726

Answer:

yes

Step-by-step explanation:

Answer:

simple interest=Principal +Time+Rate÷100

Interest=3000+3+5÷100=3005.03

interest=3005.03

Answer:

144

Step-by-step explanation:

-12 * -12 = 144

12² =144

but the question was not 12², but -12²

so the answer is -144

if the exercise was between (), so writen like this (-12)²

then you would need to do the - to the power of 2 as well

Answer:

7:10 or 7:20

Step-by-step explanation:

it allows time for the doors to open and time to get to class

Answer:

3x^5 y^2

Step-by-step explanation:

Answer

not to sure but i think its number 3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

When you have a coefficent in front of a logarithm function, you can take the argument to the power of that coefficient. For example, the 3 in front of the logarithm can be brought into the argument, and you can take 'x' to the third power. You get:

[tex] log_{4}( {x}^{3} ) = log_{4}(32) + log_{4}(2) [/tex]

When you add logarithms, it is equivalent to multiplying their arguments:

[tex]log_{4}( {x}^{3} ) = log_{4}(32 \times 2) = log_{4}(64) [/tex]

Since both sides are log base 4, the arguments must equal each other:

[tex] {x}^{3} = 64[/tex]

[tex]x = \sqrt[3]{64} = 4[/tex]

here it is, this is ur answer x=4

Considering a quadratic equation, it is found that:

Considering the height in feet, it is given by:

h(t) = -4.9t² + v(0)t + h(0)

In which:

In this problem, we have that h(0) = 6, v(0) = 16, hence the equation is given by:

h(t) = -4.9t² + 16t + 6

Which is a quadratic equation with coefficients a = -4.9, b = 16, c = 6. Hence the maximum height is found as follows:

[tex]\Delta = b^2 - 4ac = 16^2 - 4(-4.9)(6) = 373.6[/tex]

[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{373.6}{-4(4.9)} = 19.06[/tex]

The maximum height of the volleyball is of 19.06 feet.

It hits the ground at the roots, hence:

The solutions are:

[tex]x_1 = \frac{-16 + \sqrt{373.6}}{-9.8} = -0.34[/tex]

[tex]x_2 = \frac{-16 - \sqrt{373.6}}{-9.8} = 3.6[/tex]

Time is a positive measure, hence:

The volleyball will hit the ground after 3.6 seconds.

More can be learned about quadratic equations at https://brainly.com/question/24737967

#SPJ1

Answer:

16 feet

Step-by-Step Explanation:

If you graph it, the vertex will be (3,16) and that means 16 feet is the maximum height of the diver.

Answer:

Hey but you get better at in no time lol

Step-by-step explanation:

no need to worry

Answer:

c

Step-by-step explanation:

Answer:

its C bro i dont copy her/he

dont be suspiciousful

Step-by-step explanation:

ita right mark me as brainlest

Answer:

$2.10

Step-by-step explanation:

The percentage of the annual budget withheld for taxes is 36%.

A compulsory contribution to state revenue, levied by the government on workers' income and business profits or added to the cost of some goods, services, and transactions.

The total budget of Ralph

The total budget of Ralph is calculated as follows;

T = 1,750 + 3,260 + 3,500 + 4,332 + 6,652 + 4,880 + 15,000 + 3,448 + 18,380

T = $61,202

Total tax on Ralph's annual budget

Tax = 3,448 + 18,380

Tax = $21,828

The percentage of the annual budget withheld for taxes is calculated as follows;

[tex]=\dfrac{Tax}{Total\ Budget}\times 100[/tex]

[tex]=\dfrac{21.82}{61.20}\times 100[/tex]

The percentage of the annual budget =36%

To know more about tax follow

https://brainly.com/question/25783927

Answer:

its D

Step-by-step explanation:

Answer: 960^3 cm or 960 cubic centimeters

Step-by-step explanation:

Cubic because measuring 3 dimensions.

32x45 = area of given face

32x45= 1440

height of water = 10 cm

so,

area of given face x 10 =

32x45x10 or lxwxh (Volume)

so

1440x10= 14,400

1440x8= 11,520

so 14,400 - 11,520 = 2880

V of three plants = 2880

so, 2880/3 = volume of one plant

2880/3=960

V of singe plant = 960 units ^ 3

The difference in volumes represents the total volume of three plants, so answer should be divided by 3.

Hope This Helped!

Answer:  one plastic water plant volume =  960 cm³

Step-by-step explanation:

Total volume = Water Volume + 3 plants volume

Total Volume = 32 cm x 45 cm x 10 cm = 14 400 cm³

Water volume = 32 cm x 45 cm x 8 cm = 11 520 cm³

3 Plants volume = 14,400 cm³ - 11,520 cm³ = 2880 cm³

1 Plant volume = 2,880 cm³ : 3 = 960 cm³

Use the distributive property:

5(x + y) becomes 5x + 5y

with the information provided in the question that is as much as can be done.

answer: 5x + 5y

1. 60% can be written as 60/100, simplified as 3/5
2. 2/5 is 40/100, can be written as 40%
3. 1/3 is 33.33333...% -> 0.(3) [ infinite recurring decimals if i remember  correctly]
4. 250 here is the base (original number)
5. 48/100 can be written as 48% -> 0.48
6. base
7. percentage
8. 300
9. 24%
10. portion
11. (i dont know what this mean, next time write it more carefully)
12. percentage

Answer:

the surface are is 34.64

Step-by-step explanation:

Answer:

37.2 liters

Step-by-step explanation:

1% of 40 is 0.4

0.4 * 7 = 2.8

40 - 2.8 = 37.2 liters

Hope this helped

It is plus five, minus two (repeated)

The pattern is +5 then -2 alternatively .

A pattern is a repeated arrangement of numbers, shapes, colors and so on. The Pattern can be related to any type of event or object. If the set of numbers are related to each other in a specific rule, then the rule or manner is called a pattern. Sometimes, patterns are also known as a sequence.

According to question

7 12 10 15 13 .........

The pattern in the series is  

7+5 = 12

12-2 = 10

10+5=15

15-2= 13 .....................

Hence, the pattern is +5 then -2 alternatively .

To know more about pattern here :

https://brainly.com/question/23037339

# SPJ2

Hey there!

2x + 3x = 20 + x

5x = 20 + x

20 + x = 5x

SUBTRACT x to BOTH SIDES

5x - x = 20x + x - x

5x - 1x = 20x + 1x - 1x

SIMPLIFY IT!
4x = 20

DIVIDE 4 to BOTH SIDES

4x/4 = 20/4

SIMPLIFY IT!
x = 20/4

x = 5

Therefore, your answer is: x = 5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The range of the data is the difference between the largest data value and the smallest data value.

Therefore, the ranges are:

Boys:  10 - 3 = 7

Girls:  9 - 5 = 4

So the boys have a larger range than the girls.

To calculate the mean, add up all the data values then divide by the number of values.

[tex]\textsf{Mean of Boys}=\dfrac{3+6+7+7+8+8+8+8+9+10}{10}=\dfrac{74}{10}=7.4[/tex]

[tex]\textsf{Mean of Girls}=\dfrac{5+6+6+6+7+7+7+8+8+9}{10}=\dfrac{69}{10}=6.9[/tex]

So the boys have a higher mean than the girls.

Answer: 1046.48cm

Step-by-step explanation: Multiplying by 2.54 To convert

Answer:$10.88

Step-by-step explanation:

36/100 ×8= 2.88

Selling price is 8+2.88