what is the volume of the following figure. all of the cubes are visible​

Answer: 33.125

Step-by-step explanation:

So you would do 200 divdied by 5 which is 40 then you would do 1,325 divided by 40 which is the anwser 33.125. If you did it another way let me know.

Answer:

18/45

Step-by-step explanation:

First you set 2/5 equal to x/45.

Then you see what number you need to multiply 5 by to get 45

Multiply 2 by the number you got and you get x.

The equivalent fraction for 2/5 with a denominator of 45 is 18/45.

We need to figure out what number we can multiply the numerator and denominator by to get the necessary denominator in order to discover an equivalent fraction for 2/5 with a denominator of 45.

The denominator must be multiplied by 9 in order to be converted from 5 to 45 (45 ÷ 5 = 9). To keep the ratio and get the equal fraction, we will also multiply the numerator by 9.

2/5 x 9/9 = (2 x 9) / (5 x 9) = 18/45

As a result, 18/45 is the corresponding fraction for 2/5 with a denominator of 45.

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Answer:

x=21

Step-by-step explanation:

10+2x+128=180 [Angles in a straight line]

2x=180-138

x=42/2

x=21

Answer:

2/3 divdied by 1/8 is 5 1/3

Step-by-step explanation:

You first keep the 2/3, change the operation to multiplication, then flip the 1/8 to 8/1, then multiply across to get 16/3. After that, simplify to get 5 1/3

9514 1404 393

Answer:

   B.  3x+y=4

Step-by-step explanation:

The constant on the right is positive, so the signs of the coefficients match the signs of the respective intercepts. The graph shows both x- and y-intercepts are positive, so the equation will have positive coefficients everywhere. The appropriate choice is ...

  3x +y = 4

Answer:

19.7

Step-by-step explanation:

Using polar/cylindrical coordinates, we take

x = r cos(t )

y = r sin(t )

z = z

so that

dV = dx dy dz = r dr dt dz

The solid is given by the set

D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}

or in cylindrical coordinates,

D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}

Then the volume of the solid is

[tex]\displaystyle \iiint_D \mathrm dV = \iiint_Dr\,\mathrm dr\,\mathrm dt\,\mathrm dz \\\\ = \int_0^{2\pi} \int_0^1 \int_0^{4-2r\cos(t)-r\sin(t)} r\,\mathrm dz\,\mathrm dr\,\mathrm d t \\\\ = \int_0^{2\pi}\int_0^1 (4r-2r^2\cos(t)-r^2\sin(t))\,\mathrm dr\,\mathrm dt \\\\ = \int_0^{2\pi} \left(2 - \frac23 \cos(t) - \frac13 \sin(t)\right) \,\mathrm dt \\\\ = \boxed{4\pi}[/tex]

The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.

The volume of the solid in polar coordinates can be calculated by the double integral in polar coordinates.

[tex]V = \iint_R f(x,y) \,dA.\\[/tex]

Similarly, by polar coordinates,

x = r cost

y = r sint

z = z

we get, dV = dx dy dz = r dr dt dz

The solid is given

D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}

or in polar coordinates,

D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}

The volume of the solid is

[tex]\rm \int \int\int\ dV = \int \int\int\ rdr dt dz\\ \rm = \int\limits^{2\pi}_0\int\limits^1_0 \int\limits^{4-2rcost-rsint}_0 rdr dt dz\\\rm =\int\limits^{2\pi}_0\int\limits^1_0 {4r-2r^{2} cost-r^{2} sint} dr dt\\\rm =\int\limits^{2\pi}_0( 2-2/3cost-1/3sint) dt\\\rm =4\pi[/tex]

Hence, The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.

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Answer:

Step-by-step explanation:

in the problem it says she plans to do thirty pages so lets let 30 be our y value so ?x +30 and she plans to increase by 5 each day key word is each which means multiply so let 5 be our x value which will give you the equation 500=5x+30 so step by step here we go

                                                500=5x+30

1. 500=5x+30

500 −30= 5

Answer:

I think about 9 days

Step-by-step explanation:

first day is 30 next is 35, 40,45,50,55,60,65,70,75

i dont is this what u wanted but its done and it is

by the 9ths day you would have 525

i dont know what i did

Answer:

123456

Step-by-step explanation:

it is pie 3.14 because it is

Answer:

7,000

Step-by-step explanation:

Answer:

84 students go online several times a day

Step-by-step explanation:

The approximate yards Jason will skate in the next 15 seconds is 135 yards

Given that :

Number of yards skate in 20 seconds = 180 yards

The rate per second cannbe calculated thus :

The distance skate in 15 seconds will be:

Therefore, Jason will skate 135 yards in the next 15 seconds.

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Answer:

×=9

Step-by-step explanation:

2× - 7=11

2× - 7+7=11+7

Answer: g(x)=x/3^2

Step-by-step explanation:

We are given that:

f(x)=x²

We have to find g(x)

Since, we are given that g(3)=1

Hence, we will proceed by the options.

1. g(x)=

at x=3 g(x)=1/9

Hence, this option is incorrect.

2. g(x)=3x²

at x=3, g(x)=27

Hence, this option is incorrect.

3. g(x)= x²/3

at x=3, g(x)=3

Hence, this  option is incorrect.

4. g(x)=

at x=3, g(x)=1

Hence, this option is correct

Answer:

(3×1)+(4/10) & two and fifty-one hundredths

Step-by-step explanation:

In order to write a decimal in expanded form you need to create a equation that equals the decimal you are trying to expand, and for writing decimal in word form you need to remember the names of place values.

1. 3.4

[tex]3.4=(3\times`1)+(\frac{4}{10} )[/tex]

2.2.51

two and fifty-one hundredths

Hope this helps.

9514 1404 393

Answer:

Step-by-step explanation:

The left-side expression will not intersect the right side expression if the slopes are the same and the y-intercepts are chosen appropriately. An example is ...

  |3x +5| = 3x +1

The right-side line stays below the left-side V, so doesn't intersect.

__

You can choose the slopes to be different, also, if you make the intercepts such that the right-side line does not intersect the left-side V. An example of that is ...

  |3x +5| = x -1

__

Graphs of the left- and right-side expressions are shown in the attachment.

Answer:

D

Step-by-step explanation:

8x-5x+3+9=3x+12

combine like terms

Answer:

Get the perimeter of the each shape and add it all up to get the total fencing material required. 2 square flower beds = 2 x 4a = 8a 1 rectangular play ground = 2l + 2w  total fencing material = 8a + 2l + 2w  

Answer:

2l + 2w + 8a

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Find multiples of 12 and 16

4 is a common multiple

if you start from 1/4 and add 4 to the denominator and 1 to the numerator you get the following sequence:

1/4, 2/8, 3/12 and 4/16

Therefore the answer to the problem is 4

If you have any more simple algebra question pls message me :)

Answer:

Y = 5

Step-by-step explanation:

Correct answer: y = 5

By cross multiplication, you multiply 21 × 10, which is 210. Then, you divide 210 by 42, which is 5.

Answer:

23

Step-by-step explanation:

Sorry if I didn't understand the question right-

Answer:

[tex]\frac{49}{6}[/tex]

Step-by-step explanation:

The inverse of [tex]\frac{3}{7}[/tex] is [tex]\frac{7}{3}[/tex].

The inverse of [tex]\frac{2}{7}[/tex] is [tex]\frac{7}{2}[/tex].

Now we multiply:

[tex]\frac{7}{3}[/tex] × [tex]\frac{7}{2}[/tex] = [tex]\frac{49}{6}[/tex]

Hope this helped :)

We have that  the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

[tex]a_4=a_1+(n-1)d[/tex]

Therefore

For seventh term

[tex]5=23+(6)d\\\\d=5-23/(6)\\\\d=-3[/tex]

Therefore

For Fourth term

[tex]a_4=23+(3*(-3))[/tex]

a_4=14

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Answer:

rg53º

Step-by-step explanation:

grnrgnrn

Answer: 2285.71

Step-by-step explanation:

Rearranging the simple interest formula, we have P = A / (1 + rt), where P is the Principal, r is the annaul rate and t is the time period.

r = R/100 = 5%/100 = 0.05 per year.

Solving the equation:

P = 3200 / ( 1 + (0.05 × 8)) = 2285.7142857143

Answer:

Grandma deposited 8,000

Step-by-step explanation:

I = 3200

r = 5 %

t = 8 years

[tex]P =\dfrac{I*100}{r*t}\\\\P = \dfrac{3200*100}{8*5}\\\\P= 8000[/tex]

Answer:

$300

Step-by-step explanation:

90 x 2 = 180

60 x 2 = 120

120 + 180 = 300