Can someone answer all these for me please

Answer:

C. An = 5(2)^n-1

Step-by-step explanation:

Tower 1 2 3 4 5

Number of blocks 5 10 20 40 80

Where,

n = tower number

An = number of blocks

A. an = n + 80

B. an = 2n + 5

C. An = 5(2)^n-1

D. an = 10(5)^n

Checking all options

A. An = n + 80

When n = 1

An = 1 + 80

= 81

B. An = 2n + 5

When n = 1

= 2(1) + 5

= 2 + 5

= 7

C. An = 5(2)^n-1

When n = 1

= 5(2)^1-1

= 5(2)^0

2^0 = 1

= 5(1)

= 5

D. An = 10(5)^n

When n = 1

= 10(5)^1

5^1 = 5

= 10(5)

= 50

The explicit formula which correctly represents the number of blocks, an, in terms of the tower number, n is C. An = 5(2)^n-1

Answer:

C

Step-by-step explanation:

I took the map test

Answer:

1) ML=93

2) GE=58

Step-by-step explanation:

1)

We want to find ML.

So, we need to find x first.

Note that the entire segment, NK, is the addition of the segments NM, ML, and LK. So:

[tex]NM+ML+LK=NK[/tex]

And we know their equations. So, substitute 110+4x for NM, x+103 for ML, 70 for LK, and x+243 for NK. Thus:

[tex](110+4x)+(x+103)+(70)=x+243[/tex]

On the left, combine like terms:

[tex](4x+x)+(110+103+70)=x+243[/tex]

Add:

[tex]5x+283=x+243[/tex]

Subtract 283 from both sides:

[tex]5x=x-40[/tex]

Subtract x from both sides:

[tex]4x=-40[/tex]

Divide both sides by 4:

[tex]x=-10[/tex]

So, the value of x is -10.

Substitute this into ML to find it. So:

[tex]ML=(-10)+103[/tex]

Add:

[tex]ML=93[/tex]

And we're done!

2)

Here, we want to find GE. This means solving for x again.

Note that HF plus FE equates to the entire segment.

HG plus GE also equates to the entire segment.

Thus:

[tex]HF+FE=HG+GE[/tex]

Substitute 3x-129 for HF and 4 for FE.

Substitute 13x-993 for HG and 3x-185 for GE. Thus:

[tex](3x-129)+(4)=(13x-993)+(3x-185)[/tex]

Combine like terms on both sides:

[tex](3x)+(-129+4)=(13x+3x)+(-993-185)[/tex]

Add or subtract:

[tex]3x-125=16x-1178[/tex]

Add 1178 to both sides:

[tex]3x+1053=16x[/tex]

Subtract 3x from both sides:

[tex]1053=13x[/tex]

Divide both sides by 13:

[tex]x=81[/tex]

So, the value of x is 81.

To find out GE, GE is the 3x-185. So:

[tex]GE=3(81)-185[/tex]

Multiply:

[tex]GE=243-185[/tex]

Subtract:

[tex]GE=58[/tex]

And we're finished!

Answer:the first one is x=87

The second one is x =8

Step-by-step explanation

Step-by-step explanation:

Hey there!!!

Here,

The midpoint of AB is M(-3,-3) and coordinates of A is (-8,-2).

Now,

Using midpoint formulae,

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

Put all values.

[tex]( - 3,- 3) = ( \frac{ - 8 + x}{2} , \frac{ - 2 + y}{2} )[/tex]

As they are equal, equating with their corresponding elements we get,

[tex] - 3 = \frac{ - 8 + x}{2} [/tex]

Simplify them.

[tex] - 6 = - 8 + x[/tex]

[tex]x = - 6 + 8[/tex]

Therefore, x= 2

Now,

[tex] - 3 = \frac{ - 2 + y}{2} [/tex]

Simplify them.

[tex] - 6 = - 2 + y[/tex]

[tex]y = - 6 + 2[/tex]

Therefore, y = -4.

Therefore, the coordinates of B are (2,-4).

Hope it helps...

Answer:

sin22=x/11

0,374×11=x

x=4,12

Step-by-step explanation:

Answer:

Tienes 3 números, "x", "y", "z"

=> El primero es 20 unidades menor que el segundo:

El primero es "x", y el segundo es "y", entonces:

x = y - 20

=> El tercero es igual a la suma de los dos primeros:

El tercero es "z", entonces:

z = x + y

z = (y - 20) + y

z =  2y - 20

=> Entre los tres suman 120

x + y + z = 120

y - 20 + y + 2y - 20 = 120

4y - 40 = 120

4y = 160

y = 40

Si y = 40, entonces:

x = y - 20

x = 20

Además, z = 2y - 20

z= 60

RPTA:

x=20

y=40

z=60

Step-by-step explanation:

Answer:

150+55w

Step-by-step explanation:

150+55w

150 never changes

(55)(w), 55 changes depending on number of weeks

Answer:

The expression is: 150 + 55W

Step-by-step explanation:

amount already in your a/c = $150

Amount saved per week = $55

Number of weeks to save for is W

Amount saved in W weeks is $55W

Total amount saved in W weeks is $150 + $55W

Ignoring the symbols, the expression is 150+55W

1361/2500 or 54.44%.

Answer:

49/90

Step-by-step explanation:

x=0.5444....

10x=5.4444....

1x=0.5444....

9x=4.9

x=4.9/9

x=49/90

hope it might help you

Answer:

(-3.5,6.5)

Step-by-step explanation:

See the photo for step-by-step explanation

Answer:

(6.5,1.5)

Step-by-step explanation:

Answer:

  34.224

Step-by-step explanation:

C(2.76, 310) means you want to evaluate the expression for g=2.76 and d=310. Put those numbers where the variables are and do the arithmetic.

  [tex]C(2.76,310)=\dfrac{2.76\cdot 310}{25}=\dfrac{855.6}{25}=\boxed{34.224}[/tex]

Answer:

Your answer is 2 gallons

Step-by-step explanation:

Answer:

98°

Step-by-step explanation:

105-7=98

Answer:

it is none of these options

Step-by-step explanation:

after multiplying it by 1,2 or 3 none of the option comes up

..

Answer:

-5

Step-by-step explanation:

-9c - 15 + 7c + 10 + 2c

-9c + 7c + 2c -15 + 10

-9c + 9c - 5

-5

Answer:

5

Step-by-step explanation:

-9c - 15 + 7c + 10 +2c

-9c + 9c + -15 + 10

5

Answer:

57

Step-by-step explanation:

Divide 342 by 6

342/6=57

each basket will hold 57 potatoes!

I hope this helps :)

Answer:

y=-5

Step-by-step explanation:

It must contain (6, -5). Therefore, I went the easy way and created a line that has y = -5 no matter what x is. You can put 0x-5 if you want to make sure the independent variable is x.

Answer:

16

Step-by-step explanation:

48/3=16

16/2=8

8+8=16

Answer:

(x^2) + (-1)

Step-by-step explanation:

the equation f(x) BECOMES x in the g(x)

x-1

(x^2) -1

Answer:

g(f(x)) = x^2 + (-1)

Step-by-step explanation:

f(x) = x^2

g(x) = x - 1

Therefore, for g(f(x)), we need to substitute the value of x in f(x) in g(x).

Therefore,

g(x) = (x^2) - 1

      = (x^2) + (-1)

Answer:

(Negative 6) (4) + (negative 6) (two-thirds

Answer:

8

Step-by-step explanation:

+2-(-6)=2+6

the two negatives cancel each other out

2+6=8

Answer:

8

Step-by-step explanation:

2- -6

change subtraction sign to addition

2+-6

change negative sign to positive

2+6

solve

8

Answer:

x+7

Step-by-step explanation:

dfghvnskdfcnvskdfc

Step-by-step explanation:

6(x-4)+x=5(x-2)

First we combine like terms.

6x-24+x=5x-10

7x-24=5x-10

-5x      -5x

2x-24=-10

   +24=14

2x=14

/2   /2

x=7

Sorry if it's wrong

I don’t think this is algebra 2 but ok

37

I used the formula (32°F − 32) × 5/9 = 0°C (but ofc replaced the numbers with 99)

Yeah and i rounded 98.6 to 99. 99 Fahrenheit is 37.2222... so i rounded it down to 37. So i think the answer is 37.

Answer:

12x+12

Step-by-step explanation:

first you distribute  the 6 into the parenthesis.

so it becomes:

12x+18-6

Then you solve the common terms:

12x+12

& thats your answer!

Answer:

12x +12

Step-by-step explanation:

6(2x +3) - 6

12x +18 - 6

12x +12

Answer: 13

Step-by-step explanation:

let m = Matt's age

let a = Andy's

:

Write an equation for each statement

:

Matt is four years younger than twice his cousin Andy’s age.

m = 2a - 4

The sum of their ages is greater than 35.

m + a > 35

What is the youngest age that Andy can be?

replace m with (2a-4) from the 1st statement

2a - 4 + a > 35

3a > 35 + 4

a > 39/3

a > 13

least integer has to be a = 14

:

:

Check, find m

m = 2(14) - 4

m = 24

24 + 14 = 38 greater than 35

If a = 13

m = 2(13) - 4

m = 22

22 + 13 = 35 which is not greater than 35

Answer:

what are the #

Step-by-step explanation:??

Answer:Joni should have multiplied by 1,000

Step-by-step explanation:

vickiesmith Beginner       1 answer

Answer:Joni should have multiplied by 1,000