what is 2/16 as a decimal

Answer:

The answer is "[tex]\bold{\frac{1024}{3}}[/tex]".

Step-by-step explanation:

[tex]= \int\limits^{4}_{-4} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\ = 2 \int\limits^{4}_{0} \int\limits^{4}_{0} (16-x^2) dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} 16x -\frac{x^3}{3} dx \ dz \\\\= 2 (16x -\frac{x^3}{3})^4_{0} \ dz \\\\= 2 (4) (16x -\frac{64}{3}) \\\\=8(\frac{2}{3} \times 64) \\\\=(\frac{16\times 64}{3} ) \\\\= \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

In this question we must use the triple integral formula in rectangular coordinates to determine the volume of the solid ([tex]V[/tex]):

[tex]V = \iiint dy\,dx\,dz[/tex] (1)

The solid is constrained by the following intervals:

[tex]y \in [x^{2}, 16][/tex], [tex]x \in [-4, 4][/tex], [tex]z\in [0, 4][/tex]

Then, the triple integral is now described:

[tex]V = \int\limits_{0}^{4}\int\limits_{-4}^{4}\int\limits_{x^{2}}^{16} dy\,dx\,dz[/tex]

Now we proceed to integrate thrice to obtain the volume:

[tex]V = \int \limits_{0}^{4}\int \limits_{-4}^{4} (16-x^{2})\,dx\,dz[/tex]

[tex]V = \int\limits_{0}^{4} \left(16\cdot x - \frac{x^{3}}{3}\right)\left|\limits_{-4}^{4} dz[/tex]

[tex]V = \frac{256}{3} \int\limits_{0}^{4} dz = \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

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Answer:

20%

Step-by-step explanation:

[tex]percent change = \frac{difference}{original value} * 100[/tex]

[tex]= \frac{100}{500} * 100\\= 20[/tex]

Answer:

11.6 miles per gallon

Step-by-step explanation:

Answer:

11.6 miles per gallon

Step-by-step explanation:

just divide

The matching is as follows:

1. <4 and <6 ------> same- side interior angle

2. <5 and <6 ------> vertical angles

3. <2 and <6  ------> corresponding angle.

4. <4 and <5  ------> alternate interior angle

Properties of Parallel Lines

Now, from the figure

1. <4 and <6 shows the relationship of same- side interior angle

2. <5 and <6 shows the relation of vertical angles

3. <2 and <6 shows the relation of corresponding angle.

4. <4 and <5 shows the relation of alternate interior angle

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Answer: B.1.50

Step-by-step explanation:

22.50 divided by 5 = 4.5

21.00 divided by 3.5 = 6.0

           6 - 4.5 = 1.50

This will tell us the differences in

  how much money they made.

Answer:

13.46

Step-by-step explanation:

The correct response is 13.46.

Since 9 is greater than 5, we replace the 5 in the hundreths place with a 6.

Answer:-7 I think

Step-by-step explanation:

Step-by-step explanation:

you you can use two formulas here either pi d or 2 pi r so when you use pie d which change the radius to diameter by multiplying by two so in this case we will multiply 7 by 2 to get 14 then use the formula so is 22/7 * 14 to get 44

Answer:

first one: a,d,e

second one: d

Step-by-step explanation:

pemdas

Answer:

1.- A

2.- A

Step-by-step explanation:

Answer:

the total cost would be $45.2

Answer:

ewhyfreu62

Step-by-step explanation:

Answer: Number 3; $1250

Number 4; Salesperson A ($7428.30)

Number 5; 18%

Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.

Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;

I = P x R x T

I = 5000 x 0.05 x 5

I = 1250

Therefore Joanna will pay $1,250 as interest

(No 4) The amount made by both salespersons is shown as follows;

A = 11% x 67530

A = 0.11 x 67530

A = 7,428.30

B= 8% x 85740

B = 0.08 x 85740

B = 6,859.20

Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30

(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;

Percent paid = (entertainment/total income) x 100

Percent paid= (6840/38000) x 100

Percent paid = 684000/38000

Percent paid = 18

Therefore he paid 18% for entertainment

(6) Nora makes a total of 3000 a month broken down as follows;

Rent = (26/100) x 3000

Rent = 0.26 x 3000

Rent = 780

Food = (30/100) x 3000

Food = 0.30 x 3000

Food = 900

Medical = (15/100) x 3000

Medical = 0.15 x 3000

Medical = 450

Clothes = (10/100) x 300

Clothes = 0.10 x 3000

Clothes = 300

Miscellaneous = (19/100) x 3000

Miscellaneous = 0.19 x 3000

Miscellaneous = 570

Answer: Number 3; $1250

Number 4; Salesperson A ($7428.30)

Number 5; 18%

Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.

Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;

I = P x R x T

I = 5000 x 0.05 x 5

I = 1250

Therefore Joanna will pay $1,250 as interest

(No 4) The amount made by both salespersons is shown as follows;

A = 11% x 67530

A = 0.11 x 67530

A = 7,428.30

B= 8% x 85740

B = 0.08 x 85740

B = 6,859.20

Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30

(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;

Percent paid = (entertainment/total income) x 100

Percent paid= (6840/38000) x 100

Percent paid = 684000/38000

Percent paid = 18

Therefore he paid 18% for entertainment

(6) Nora makes a total of 3000 a month broken down as follows;

Rent = (26/100) x 3000

Rent = 0.26 x 3000

Rent = 780

Food = (30/100) x 3000

Food = 0.30 x 3000

Food = 900

Medical = (15/100) x 3000

Medical = 0.15 x 3000

Medical = 450

Clothes = (10/100) x 300

Clothes = 0.10 x 3000

Clothes = 300

Miscellaneous = (19/100) x 3000

Miscellaneous = 0.19 x 3000

Miscellaneous = 570

Answer:

13-(5*4)=?

13-20=-7

Step-by-step explanation:

the orginal number is 13 and accordin to the question it has stated that everysteps we have to take out 5 so what i did is that i multiplied 4 by 5 and i a going to subtract it from 13 which i have the result of -7.

Answer:

28

Step-by-step explanation:

first term(a)=13

difference(d)=5

t(4)=?

now,

t(4)=a+(n-1)d

=13+(4-1)5

=13+3×5

=28

Answer:

Yeah

Step-by-step explanation:

Just swiss cheese ngl

Answer:

cheddar + turkey

Step-by-step explanation:

.........mmmm....mm..mm.mm.mm

Answer:

Yes

Step-by-step explanation:

600/150=4

450/150=3

Answer:

1. 53°

2. 90°

3. 37°

4. 57°

5. 90°

6. 37°

7. 3

8. 4

9. 5

10. 3

11. 4

12. 5

Step-by-step explanation:

it's alot to explain, if you need an explanation for a certain one, just ask me lol

Answer: 33.33%

Step-by-step explanation:

Answer:

33.3333...%

Step-by-step explanation:

33 x 3 = 99.9999...

Answer:

A

Step-by-step explanation:

not enough info

Answer:

Step-by-step explanation:

We need only two points.

Choose any two values of x. Put them to the equation and calculate the value of y:

[tex]y=-\dfrac{2}{3}x+1\\\\\text{for}\ x=0\\\\y=-\dfrac{2}{3}\cdot0+1=0+1=1\to A(0;\ 1)\\\\\text{for}\ x=3\\\\y=-\dfrac{2}{3}\cdot3+1=-2+1=-1\to B(3;\ -1)[/tex]

Answer:

4

Step-by-step explanation:

khan

Answer:

45

Step-by-step explanation:

Answer: 60 kilometers

Step-by-step explanation:

Plug in your hours:

y = 15(3) + 15

y = 45 + 15

y = 60 kilometers

Hope this helps!

Answer:

28

Step-by-step explanation:

35/5 ÷ -3/4

=7÷ (-3/4)

=7× (4/-3)

=(7×4)/-3

=- 28/3

the minus is already placed in the question, that makes the answer 28 without the minus

The given statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Here,

1) 4=4

Statement is true.

2) 5+1=6+1

6≠7

Statement is not true.

3) 3+2=5+0

5=5

Statement is true.

4) 6+2=4+4

8=8

Statement is true.

5) 3+3=6+2

6≠8

Statement is not true.

6) 9+0=7+2

9=9

Statement is true.

7) 8-8=0

0=0

Statement is true.

8) 6+3=5+4

9=9

Statement is true.

9) 3+3=6+2

6≠8

Statement is not true.

Therefore, the statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.

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Answer: x = -1

Remove parentheses

Calculate

Move the terms

collect like terms, calculate.

divide both sides.

Answer: x = -1

3(x + 1) = -2(x-1) - 4 (Expand by distributing)

3x + 3 = -2x + 2 - 4 (Rearrange the terms so that the terms with a variable of x are on one side)

3x + 2x = 2 - 4 - 3 (Collect like terms)

5x = -5 (Divide both sides by 5 to isolate for x)

x = -1

∴ x = -1.

Answer:

7⅓ cups of water

Step-by-step explanation:

Water-salt mixture ratio = ¾ cup of salt to 5½ cups of water (¾ : 5½)

To maintain this water to salt ratio, if you intend to use 1 cup of salt, the number of water you need to add can be calculated as follows:

¾ cup of salt : 5½ cups of water = 1 cup of salt : x cups of water

¾ : 5½ = 1 : x

[tex] \frac{\frac{3}{4}}{5\frac{1}{2}}. = \frac{1}{x} [/tex]

[tex] \frac{\frac{3}{4}}{\frac{11}{2}} = \frac{1}{x} [/tex]

[tex] \frac{3}{4}*{\frac{2}{11} = \frac{1}{x} [/tex]

[tex] \frac{3}{2}*{\frac{1}{11} = \frac{1}{x} [/tex]

[tex] \frac{3*1}{2*11} = \frac{1}{x} [/tex]

[tex] \frac{3}{22} = \frac{1}{x} [/tex]

Cross multiply

[tex] 3x = 22 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{22}{3} [/tex]

[tex] x = 7\frac{1}{3} [/tex]

Number of cups of water to add to 1 cup if salt is 7⅓ cups.