The first three towers in a sequence are shown. The nth tower is formed by stacking n blocks on top of an n times n square of blocks. How many blocks are in the 99th tower?

9514 1404 393

Answer:

Step-by-step explanation:

Assuming angles are numbered clockwise at each intersection before moving to the next intersection, corresponding angles will differ in their numbers by a factor of 4.

Among the offered choices, the differences of angle numbers are ...

2, 12, 5, 4, 1, 7

Of those pairs listed, angles 2 and 14, and angles 3 and 7 are corresponding angles.

Answer:

23.4375

Step-by-step explanation:

you need to do base x base x height divided by 2. 7.5 x 2.5 x 2.5 = 46.875. divide that by 2 and you get 23.4375  

Answer:

1/49

Step-by-step explanation:

7^-2= 1/7^2 = 1/49

Solution,

7^-2

=1/7^2

=1/49

Hope it helps

Good luck on your assignment

Answer:

315

Step-by-step explanation:

No. of girls be g

No. of boys be b

g= 180

g/b = 4/3

b = 3g/4

b= 3(180/4)

b= 3*45

b= 135

.

Find b+g

= 135 + 180

= 315

Answer:

I have given it step by step below.

Step-by-step explanation:

(i) Mean = sum of observations/total no. of observation

= 23 + 20  + 4 + 19 + 28 + 35 + 25 + 0  +1 + 30/ 10

= 185/10

= 18.5

(ii) additional 35 runs

New Mean

=previous total  + 35/10 + 1     (the 1 gets added in denominator because of                                           the additional observation)

= 185 + 35/11

= 220/11

= 20

Hope this helps you!

Answer:

y = -2.5x - 22

Step-by-step explanation:

Answer:

c = 3

c = -3

(There are two because absolute value :P)

Step-by-step explanation:

u = 7i + 24j

u = (7, 24)

||c * u|| = 75

75 = || c [tex]\sqrt{7^{2}+24^{2} }[/tex] ||

75 = || c [tex]\sqrt{625}[/tex] ||

75 = || c * 25 ||

3 or -3 = c

Answer:

group A has longer average

Step-by-step explanation:

the average for group A : 11+11+12+12+12+12+13+13+13+13= 122/10=12.2

the average for group B : 10+10+10+10+10+11+11+12+12+12=108/10=10.8

Answer:

group A has longer average

Step-by-step explanation:

Answer:

17.91

Step-by-step explanation:

the answer is A. it is asking for the incorrect answer therefor all are correct except A.

Answer:

A got it right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given y=2x(Let's call this eqn1) and y=x+4(eqn2)

We can substitute eqn1 in eqn2 to get

2x=x+4

2x-x=4

x=4

Substitute the value x in eqn1

y=2x

y=2(4)

y=8

Answer:

C. (4, 8)

Step-by-step explanation:

→Plug in y = 2x into y = x + 4, like so:

y = x + 4

2x = x + 4

→Subtract x from both sides:

x = 4

→Now plug in 4 for x into one of the equations (doesn't matter which one):

y = 2x

y = 2(4)

y = 8

Answer:

10

20

Step-by-step explanation:

correct c=3 x 10

incorrect i=-1

-------

incorrect= 10

number of questions= 10+10= 20

Answer:

11/5 x^2 + 5/2 xy + 3/2 y.

Step-by-step explanation:

2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)

= 2x^2 + 2xy + 1/5 x^2 + 1/2xy + 3/2 y

= 11/5 x^2 + 5/2 xy + 3/2 y.

Answer:26 units

Step-by-step explanation:

Answer:

Circumference of a circle = πd

d=diameter

56.52=3.142d

d=17.98 inches d=18 inches

Answer:

18 in.

Step-by-step explanation:

If you do the math, you'd actually get 17.99 inches lol. Just round your answer to 18 since it's THAT close to 18.

Answer:

y = -10

Step-by-step explanation:

To solve this, you must find the value of x first. To do this you must move the first equation so that x is by itself.

-2x + 3 = 7

Subtract 3 from both sides:

-2x = 4

Divide both sides by -2:

x = -2

Now plug in -2 for x into the second equation, like so:

3x + 1 = 5 + y

3(-2) + 1 = 5 + y

-6 + 1 = 5 + y

Add like terms:

-5 = 5 + y

Subtract 5 from both sides:

-10 = y

The value of y for the given system of equations is -10.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given,

-2x + 3 = 7 and 3x + 1 = 5 + y

-2x = 7 - 3

x = -2

Substitute as

3(-2) + 1 = 5 + y

y = -6 + 1 - 5

y = -10

Hence "The value of y for the given system of equations is -10".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Answer:

Of course Piano,keyboard and guitar.

Answer:

D. Move each digit of the whole number three places to the left and fill in the blank places with zeros.

Step-by-step explanation:

Take the number 5 for example.

If you multiply this by 1,000 you get 5,000.

You may do this by moving the digit 3 places to the left which will give you

5---, then you replace the empty spaces with zeros.

Answer:

She bought 4 steaks and 8 watermelons, hope this helps

Step-by-step explanation:

Answer: =

x

2

−

4

x

−

21

Step-by-step explanation: (

x

+

3

)

.

(

x

−

7

)

=

(

x

)

.

(

x

−

7

)

+

(

3

)

.

(

x

−

7

)

ANSWER

x^2-4x-21

EXPLAIN

First expand the brackets by multiplying the number from the first bracket to the second bracket

you will get this = x^2 + 3x- 7x- 21 ,then u collect the like terms which is (3x & -7x).

your answer ( x^2 - 4x - 21 ).

[tex]a_1[/tex] is the first term of the sequence, which is [tex]\boxed{-4}.[/tex]

[tex]r[/tex] is the common ratio of the sequence, the number that you multiply one term by to generate the next term. Here, we see that multiplying by -2 will generate the next term, so [tex]\boxed{r=-2}.[/tex]

We use the formula [tex]S_n=\frac{a_1(r^n-1)}{r-1}[/tex] to find the sum of the first 6 terms - just plug in our values for [tex]a_1[/tex] and [tex]r:[/tex]

[tex]S_6=\frac{-4((-2)^6-1)}{-3}=\frac{-4(63)}{-3}=\boxed{84}.[/tex]

Answer:

m = 2

Step-by-step explanation:

Given

y = mx + 2

Since (- 3, - 4) is a point on the line then it satisfies the equation.

Substitute x = - 3 and y = - 4, the coordinates of the point, into the equation and solve for m, that is

- 4 = - 3m + 2 ( subtract 2 from both sides )

- 6 = - 3m ( divide both sides by - 3 )

2 = m

Answer:

96 cartons

Step-by-step explanation:

Capacity of one jug = 4 L

Capacity of 6 jugs = 4 * 6 = 24 L

Capacity of milk in the container = 24 L

one litre = 1000 ml

24 liter = 24 * 1000 = 24000 ml

Number of cartons = Total capacity of milk/Capacity of milk in one carton

                               = 24000÷250

                               = 96 cartons

1 container receives 6 jugs of milk (1 jug of milk=4L)

6×4L=24L

The 1 container of milk is used to fill cartons of milk

The 1 container of milk is used to fill cartons of milk (1 carton=250 ml)

Step 1; Convert ml to L

250ml ÷ 1000 = 0.25L

Step 2; Divide

24L ÷ 0.25L = 96

Ans: 96 cartons of milk can be filled.

Answer:

Even if they are different weights they will fall at the sam time

Step-by-step explanation:

by fall I mean hit the ground

Step-by-step explanation:

Answer is $17.5

It says Mrs. Samuelson had $350 to spend on a field trip for herself and 18 students. so there are 19 people. Multiply 12.50*19 you get 237.5.

It also says lunch cost about $5.00 per person. Multiply 5.00*19 you get 95.

Add 95 to 237.5.

You get 332.5

Subtract 350 by 332.5.

Equation: 350-(19*12.50)+(19*5.00)

Answer: $17.5

Answer:

x = -16

Step-by-step explanation:

2/3x +1 = 1/6x - 7

Multiply each side by 6 to get rid of the fractions

6(2/3x +1) = 6(1/6x - 7)

4x +6 = x - 42

Subtract x from each side

4x-x +6 = x-x-42

3x +6 = -42

Subtract 6 from each side

3x +6-6 = -42-6

3x = -48

Divide each side by 3

3x/3 = -48/3

x = -16

So the right answer is -16

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

c  tomato 2.5

pepper = 3.5

Step-by-step explanation:

Let t= the price of tomato plants

p  =the price of pepper plants

3t+ 4p = 21.50

5t+ 2p = 19.50

Multiply the second equation by -2

-10t -4p =-39

Add this to the first equation to eliminate p

-10t -4p =-39

3t+ 4p = 21.50

---------------------

-7t    = -17.5

Divide by -7

t = 2.5

Now find p

5t+ 2p = 19.50

5( 2.5) + 2p = 19.50

12.5+2p = 19.50

Subtract 12.5 from each side

2p =7

p =3.5

We want the price of 1 tomato and 1 p

3.5+2.5

Answer:

C

Step-by-step explanation:

Let t = price of tomato plants

and p = price of pepper plants

3t + 4p = 21.50 ...... (1)

5t + 2p = 19.50 ..... (2)

Multiplying eqn. (2) by - 2

(5t + 2p) * (- 2) = (19.50) * (- 2)

- 10t - 4p = - 39

-10t - 4p = - 39

3t + 4p = 21.50

____________

-7t    = -17.5

t = 2.5

Putting t = 2.5 in eqn. (2), we get:

= 5 * (2.5) + 2p = 19.50

12.5 + 2p = 19.50

2p = 7

= 3.5

Price of one tomato and one pepper plant = 3.50 + 2.50

Answer:

t =2 seconds

Step-by-step explanation:

We have, a function that represents the height y of the pebble after dropping the balcony as follows :

[tex]y=80-16t^2[/tex]

The pebble lands on the top of a sign that is 16 feet high.

It is required to find the time does the pebble drop before hitting the sign. The above equation becomes,

[tex]80-16t^2=16\\\\-16t^2+80=16\\\\-16t^2=64\\\\t^2=4\\\\t=2[/tex]

So, the pebble hits the sign after 2 seconds.