One sheet of paper is 9 x 10 to the power of -3 to cm thick. Mark wants to put 500 sheets of paper into the paper tray of his printer. The paper tray is 4 cm deep. Is the paper tray deep enough for 500 sheets of paper? You must explain your answer. Input note: write down the thickness of the 500 sheets of paper.

Answer:

786432

Step-by-step explanation:keep multipying it by 2 stupid

The 19th term of the given geometric sequence is 786432.

Important information:

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]        ...(i)

Where a is the first term and r is the common ratio.

In the given geometric sequence, [tex]a=3[/tex] and [tex]r=\frac{6}{3}=2[/tex].

Substitute [tex]a=3,r=2,n=19[/tex] in (i) to find the 19th term.

[tex]a_{19}=3(2)^{19-1}[/tex]

[tex]a_{19}=3(2)^{18}[/tex]

[tex]a_{19}=3(262144)[/tex]

[tex]a_{19}=786432[/tex]

Therefore, the 19th term of the given geometric sequence is 786432.

Find out more about 'Geometric Sequence' here:

https://brainly.com/question/1261702

Answer:

9 cm

Step-by-step explanation:

Since PQ and RS are opposite each other, then in a parallelogram, the lengths will be congruent.

Therefore 2x+5=4x+1

2x=4

x=2

If you plug x=2 into the the original equation, you get 9 cm.

The measure of PQ is 9 centimeters.

Important information:

The oppositie sides of a parallelogram are equal.

[tex]PQ=RS[/tex]

[tex]2x+5=4x+1[/tex]

[tex]5-1=4x-2x[/tex]

[tex]4=2x[/tex]

Divide both sides by 2.

[tex]2=x[/tex]

Now, find the measure of PQ.

[tex]PQ=2x+5[/tex]

[tex]PQ=2(2)+5[/tex]

[tex]PQ=4+5[/tex]

[tex]PQ=9[/tex]

Therefore, the measure of PQ is 9 centimeters.

Find out more about 'Parallelogram' here:

https://brainly.com/question/7099686

Answer:

n / -5 = 2

n = - 10

Answer:

5198.4 grams of sand

Step-by-step explanation:

The bottom cube:

12*12*13= 144*13= 1872

The top pyramid:

144*6= 864

1872+864= 2736 cubic cm

THEN

2736*1.9= 5198.4 g of sand!

Brainliest plsss

Answer:

5.586 kg

Step-by-step explanation:

2940 ×1.9=  5586 kg or 5586 g

Answer:

Yes they are equal. Hkama d d jans ans

Answer:

[tex]25.1cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *2^2*2=25.13274\\=25.1cm^3[/tex]

Answer:

P(blue) = 1/3  (Answer)

Step-by-step explanation:

Probability for any event A is given by

p(A) = no of times of happening of event A/ total no of occurrence of all the event given under the situation.

____________________________________

A bag contains 5 blue marbles, 6 red marbles, and 4 green marbles

So, total no of occurrence of all the event given under the situation

one can either pick blue , red or 4 green marbles

Total no. of occurrence of all the event = 5 + 6 + 4 = 15

Now , no of occurrence of selecting blue.

since there are 5 blue marbles, there is chance of selecting blue is 5.

no of occurrence of selecting blue = 5

Therefore,

P(blue) = no of occurrence of selecting blue /total no of occurrence of picking any color ball

P(blue) = 5/15 = 1/3  (Answer)

Answer:

y=10x-15

Step-by-step explanation:

with the points given you know x=2 and y=5

make a new point called (x,y)

now use the formula (y-5)/(x-2)=10 (10 being the gradient)

y-5 = 10(x-2)

y-5=10x-20

add 5 to both sides

y-5+5=10x-20+5

y=10x-15

Since we're given a point and a slope, we can write

the equation of this line using the point-slope formula.

The point-slope formula is shown at the top of the image below.

The given point, (2,5), represents (x1,y1).

Now plug in the information to get the equation below.

Now you can distribute the 10.

Then add 5 to both sides.

You will end up with the equation y = 10x - 15 as your answer.

Answer:

Let, height of the Building = x

Height of the Tower = y

Height of the tower is 5 times from height of the building = y = 5x

Height of the tower is 52 meter taller than the building = y-x = 52

put 5x instead of y in the equation y-x=52

5x-x=52

4x=52

x=52/4

x=13 meter

y=5x

y=5(13)

y=65 meter

Answer:

See this: https://brainly.com/question/16788347

Answer:

Its A

Thats because if you draw it then you will find that the vertex is 8, -8

A,

(8, -8)

THANKS FOR GIVING BRAINLIEST

Answer:

The answer is True because CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Answer:the distance between the x coordinates of R and T is 3.

The distance between the y coordinates of R and T is 6

R’ is 1 unit left, 2 units up from T, so the coordinates of R’ are (2,0)

Answer:

The answer above is correct!

First Box: 3

Second Box: 6

Third Box: 1 unit left, 2 units up

Fourth Box: (2,0)

Step-by-step explanation:

I attached a screenshot below for proof ;)

Hope this helps :D

Answer:

a) S_tot 320 cm²  (cube), 282.743339 cm²  (cylinder) thus the cube is  a greater surface area.

b) V = 300 cm³ (cube) V = 314.159265 cm³ (cylinder) thus the cylinder has a greater volume.

Step-by-step explanation:

First solve for the cube:

length l = 10 cm

width w = 10 cm

height h = 3 cm

diagonal d = 14.4568323 cm

total surface area Stot = 320 cm²

lateral surface area S_lat = 120 cm²

top surface area S_top = 100 cm²

bottom surface area S_bot = 100 cm²

volume V = 300 cm³

Agenda: l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Formulas for a rectangular prism or cube:

Volume of Rectangular Prism:

V = lwh

Surface Area of Rectangular Prism:

S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism:  

d = √(l² + w² + h²)

_______________________________

Second we solve for the cylinder

radius r = 5 cm  d/2 = 10/2 = 5 cm

height h = 4 cm

volume V = 314.159265 cm³

lateral surface area L = 125.663706 cm²

top surface area T = 78.5398163 cm²

base surface area B = 78.5398163 cm²

total surface area A = 282.743339 cm²

In Terms of Pi π

volume V = 100 π cm³

lateral surface area L = 40 π cm²

top surface area T = 25 π cm²

base surface area B = 25 π cm²

total surface area A = 90 π cm³

Agenda:

Agenda: l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr²h

Calculate the lateral surface area of a cylinder (just the curved outside):

L = 2πrh

Calculate the top and bottom surface area of a cylinder:

T = B = πr²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)

Answer:

Yes

Step-by-step explanation:

This is a function,  There is a one to one correspondence between the input and the output and it would pass the vertical line test.

Answer:

A

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

LJ/sin 23° = 9/sin 89°

LJ/0.39 = 9/0,99

LJ = (9*0.39)/0.99 = 3.517

LJ ≈ 3.5

Answer:

3.5

Step-by-step explanation:

∠K is about 3 times less than ∠J

so opposite sides have roughly same ratio

Only the last option, 3.5 is close to the length 3 times less than 9

Answer:

B

Step-by-step explanation:

Descending order means that the exponents are in decreasing order and the polynomial ends with the constants. Therefore the answer is B.

Answer:

B.

Step-by-step explanation:

Arranged from largest to smallest

Answer: Histogram of 30-40 becomes slightly low and histogram of 40-50 becomes slightly high.

Step-by-step explanation:

Since we have given that

C.I.         Frequency

10-20      1

20-30     4

30-40     15

40-50     14

If one score of 39 changed to 40.

Then it comes under class interval of 40-50

so, frequency under 30-40 becomes 14.

frequency under 40-50 becomes 15.

So, Histogram of 30-40 becomes slightly low and histogram of 40-50 becomes slightly high.

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sorry needed the points lol

Answer:

2

Step-by-step explanation:

x^0+ y^0

Let x = 3 and y = 2

3^0 + 2^0

Raised to the 0 power is 1

1 + 1

2

Answer:

the answer is 1, this is correct

Step-by-step explanation:

Answer:

13+20+13+15+24/5

85/5

=17

Answer:

17 points

Step-by-step explanation:

Mean = total scores/number of games

Mean = (13 + 20 + 13 + 15 + 24) / 5

Mean = 85 / 5

Mean = 17 points

Answer:

The line AB, with A(Ax, Ay), B(Bx, By) and midpoint M(Mx, My) satisfying:

Ax + Bx = 2Mx

Ay + By = 2My

=>

2 + Bx = 2*1

5 + By = 2*2

=> Bx = 0

=> By = -1

=> B(0, -1)

Hope this helps!

:)

Answer:

B(3, 8 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

let the coordinates of B = (x, y ), then

[tex]\frac{1}{2}[/tex](1 + x) = 2 ( multiply both sides by 2 )

1 + x = 4 ( subtract 1 from both sides )

x = 3

and

[tex]\frac{1}{2}[/tex] (2 + y) = 5 ( multiply both sides by 2 )

2 + y = 10 ( subtract 2 from both sides )

y = 8

Thus

coordinates of B = (3, 8 )

Answer:

The number of miles traveled is the independent variable.

The amount of money spent is the dependent variable.

Step-by-step explanation:

They keyword here is "per". You are spending .6 dollars for every mile traveled

Answer:

C = dependent

M = independent

Step-by-step explanation:

Hopefully this helps you  :)

pls mark brainlest. ;)

Answer:

c and d

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21

When simplifying an algebraic expression, the following steps are needed to be taken.

Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.

Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.

A) 126/2

Applying the division rule give:

126/2 = 63

B) 23 × 3

Applying multiplication rule gives:

23 × 3 = 69

C) 3 × 21

Applying multiplication rule gives:

3 × 21 = 63

Both the results of expression A and expression B are simplified to the same result

Answer:

x =9

Step-by-step explanation:

2x - 4(4x - 8) = -94

Distribute

2x - 16x +32 = -94

Combine terms

-14x +32 = -94

Subtract 32 from each side

-14x+32-32 = -94-32

-14x =-126

Divide each side by 14

-14x/-14 = -126/-14

x =9

Answer:

9

Step-by-step explanation:

Answer:

Correct option: First one -> [tex]x^2 = -12y[/tex]

Step-by-step explanation:

The focus and the vertex have the same x-coordinate, so we have a vertical parabola. The standard equation for this parabola is:

[tex]y = a(x-h)^2 + k[/tex]

If the vertex is at the origin, we have that:

[tex](h, k) = (0,0)\\h = 0, k = 0[/tex]

If the focus is at (0,-3), we have that:

[tex](h, k+p) = (0, -3)[/tex]

[tex]p = 1/4a[/tex]

[tex]k + p = -3[/tex]

[tex]1/4a = -3[/tex]

[tex]a = -1/12[/tex]

So we equation of the parabola is:

[tex]y = -x^2/12[/tex]

[tex]x^2 = -12y[/tex]

Correct option: First one

Answer: C

Step-by-step explanation:

The enequality includes x values equal to or greater than -2 and less than(but not equal to) 1.

so the possible integers would be -2 -1 0.

Answer:

$4.76

Step-by-step explanation:

It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.

We have to find 170% of the cost of making each sandwich ($2.80):

170/100 * 2.80 = $4.76

The sandwich sells for $4.76

Answer:

ben

Step-by-step explanation: