A stack of logs has 22 logs on the bottom layer. Each subsequent layer has 4 fewer logs than the previous layer. If the top layer has two​ logs, how many total logs are there in the​ pile?

Answer:

12 peppermint cupcakes 16 white cupcakes 22 chocolate cupcakes

Step-by-step explanation:

x+(x+4)+(x+(x+4)-6)=50

4x+4+4-6=50

4x+4-2=50

4x+2=50

4x=48

x=48/4

x=12 peppermint cupcakes

12+4= 16 white cupcakes

12+12+4-6=

12+16-6=

12+10= 22 chocolate cupcakes

check:

12+16+22=50

28+22=50

50=50 ✓

Answer:

8 ft or 4 ft

Step-by-step explanation:

I`m not sure but I think it might be 8 ft

Step-by-step explanation:

if u need a clearer photo please tell me

Answer:

0

Step-by-step explanation:

for A

10+9+3+8+10

=40/5

=8

for B

5+11+2+7+16

=41/5

=8.2

difference between A and B

8.2-8

=0.2

approximately

=0

Answer:

32.45

Step-by-step explanation:

Answer:

698 Miles

Step-by-step explanation:

89.75-19.95=69.8

69.8/0.10=698

Answer:

three hundred and eight five twenty sevenths

Answer:

-1/2 or -0.5

negative half

Step-by-step explanation:

slope of regular line= (y1-y2) / (x1-x2)

(27-3) / (4 - -8)

24 / (4+8)

24 / 12 = 2

the slope of a perpendicular line is the negative reciprocal

the negative reciprocal of positive 2/1 (2 as a fraction) is:

negative half: -1/2 or -0.5

Answer:

21 problems right

Step-by-step explanation:

To find the amount of problems he got right, you would have to multiply the amount of questions with the success rate

Amount of questions = 30

Success rate = 70% or 0.70

Amount of questions right = 30 x 0.70

                                            = 21

He got 21 questions right!

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would gladly appreciate it! :D

Answer:

1 in 128

Step-by-step explanation:

This may be wrong but wouldn't it be however many balls? It's chose at random?

Answer:

The probability is 1/128

Step-by-step explanation:

There is only ONE ball out of 128 with the #92. The chances it will be chosen is 1 in 128.

Answer:

x = 5

Step-by-step explanation:

See attached image.

Answer:

Choose C

Step-by-step explanation:

because one change in the X axis = 8 units up in the Y axis

Answer:

x*90= your answer.

Step-by-step explanation:

X being however many test scores there are.

If you have 4 test scores, you would multiply 4*90=360

If you had 3 test scores, you would do it again, 3*90=270.

And so on. Because the test scores number wasn't listed, I provided some answers on how to solve it.

The value of b for the provided quadratic equation, for which the only solution of the equation is x=4, is -8.

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here, (a,b,c) are the real numbers and (x) is the variable.

The given quadratic equation in the problem is,

[tex]x^2 +bx +16 = 0[/tex]

The only solution of the equation is x = 4. Thus, put the value of x in the above equation.

[tex]\begin{aligned}\\(4)^2 +b(4) +16 &= 0\\16+4b+16&=0\\4b&=-32\\b&=-\dfrac{32}{4}\\b&=-8\\\end[/tex]

Thus, the value of b for the provided quadratic equation, for which the only solution of the equation is x=4, is -8.

Learn more about the quadratic equation here;

https://brainly.com/question/1214333

It looks like you're given a recursive sequence [tex]\{a_n\}[/tex] defined by

[tex]\begin{cases}a_1 = 2 \\ a_n = -3a_{n-1} + 2 & \text{for }n>1 \end{cases}[/tex]

and I assume you wish to solve it.

By definition of the n-th term [tex]a_n[/tex], we have

[tex]a_2 = -3a_1 + 2[/tex]

[tex]a_3 = -3a_2+2 = -3(-3a_1+2)+2 = (-3)^2a_1 - 3\times2 + 2[/tex]

[tex]a_4 = -3a_3+2 = -3((-3)^2a_1 - 3\times2 + 2) + 2 = (-3)^3a_1 +(-3)^2\times2-3\times2+2[/tex]

and so on.

Notice the patterns:

• the exponent of -3 in the coefficient of [tex]a_1[/tex] on the right side is always 1 less than the subscript on the left side

• the sum of terms not involving [tex]a_1[/tex] is a geometric sum of (subscript - 1) terms,

[tex]2 = 2 \times(-3)^0[/tex]

[tex]-3\times2+2 = 2 ((-3)^0 + (-3)^1)[/tex]

[tex](-3)^2\times2-3\times2+2 = 2 ((-3)^0 + (-3)^1 + (-3)^2)[/tex]

This suggests that the general n-th term is

[tex]a_n = (-3)^{n-1}a_1 + 2((-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2})[/tex]

and with [tex]a_1=2[/tex], this becomes

[tex]a_n = 2(-3)^{n-1} + 2((-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2})[/tex]

[tex]a_n = 2((-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2} + (-3)^{n-1})[/tex]

or more compactly in sigma notation,

[tex]a_n = 2 \displaystyle \sum_{k=0}^{n-1} (-3)^k[/tex]

We can go on to get a closed form for [tex]a_n[/tex]. Let S denote the sum,

[tex]S = (-3)^0 + (-3)^1 + (-3)^2 + \cdots + (-3)^{n-2} + (-3)^{n-1}[/tex]

Multiply both sides by -3 :

[tex]-3S = (-3)^1 + (-3)^2 + (-3)^3 + \cdots + (-3)^{n-1} + (-3)^{n}[/tex]

Subtract this from S - lots of terms will cancel:

[tex]S - (-3S) = (-3)^0 - (-3)^{n}[/tex]

[tex]S + 3S = 1 - (-3)^n[/tex]

[tex]4S = 1 - (-3)^n[/tex]

[tex]S = \dfrac{1 - (-3)^n}4[/tex]

It follows that the n-th term of the sequence is explicitly given by

[tex]a_n = 2S = \boxed{\dfrac{1 - (-3)^n}2}[/tex]

Edit: Just noticed your comment. You can get the 5th term by plugging the 4th term back into the recurrence:

[tex]a_1 = 2[/tex]

[tex]a_2 = -3a_1 + 2 = -3\times2 + 2 = -4[/tex]

[tex]a_3 = -3a_2 + 2 = -3\times(-4) + 2 = 14[/tex]

[tex]a_4 = -3a_3 + 2 = -3\times14 + 2 = -40[/tex]

[tex]a_5 = -3a_4 + 2 = -3\times(-40) + 2 = \boxed{122}[/tex]

Or, using the n-th term we found above,

[tex]a_5 = \dfrac{1 - (-3)^5}2 = \dfrac{1 - (-243)}2 = \dfrac{244}2 = \boxed{122}[/tex]

Answer: B

Step-by-step explanation:

The answer is Figure 4  See the 3 blocks pointing down.

Answer:

$84 per person because if multiply 84 by 4 its 168

84 per person

Step-by-step explanation:

84+84=168

168+84=252

252+84=336

Answer: C= 100+7n

Step-by-step explanation:

Answer:

15% increase

Step-by-step explanation:

Subtract 407100 minus 354000

Divide that amount by the absolute value of the starting value

Multiply by 100 to get a percent increase

[tex] - 3x + 4y = 7 \\ y = 3x - 5[/tex]

[tex] - 3x + 4 \times (3x - 5) = 7[/tex]

[tex] - 3x + 12x - 20 = 7[/tex]

[tex]9x - 20 = 7[/tex]

[tex]9x = 7 + 20[/tex]

[tex]9x = 27[/tex]

[tex]x = 3[/tex]

[tex]y = 3 \times 3 - 5[/tex]

[tex]y = 9 - 5[/tex]

[tex]y = 4[/tex]

[tex](x,y)=(3,4)[/tex]

Answer:

8 times 4 = 32

Step-by-step explanation:

B. she made 32

Answer:

98 cm²

Step-by-step explanation:

The area of a circle is:

[tex]A=\pi r^2[/tex]

A semicircle is half a circle therefore the area of a semicircle would be:

[tex]A=\frac{1}{2}\pi r^2[/tex]

We can plug in the given values into the equation:

[tex]A=\frac{1}{2}*3.142*(7.9)^2\\A=\frac{1}{2}*3.142*62.41\\A=\frac{1}{2}*196.09222 \\A=98.04611[/tex]

We need to round to TWO sigfigs meaning...

[tex]A=98 \ cm^2[/tex]

Sigfig rules:

Nonzero numbers are significant

Trailing zeros are significant (only if there is a decimal point)

Any sandwiched zero is signification (Ex: 405 --> 3 sigfigs)

Answer:

They represent something in the real word or an unknown.

Answer:

They represent something in the real word or an unknown.

Step-by-step explanation:

Answer:

< x = 120°

Step-by-step explanation:

Step 1:

According to angle sum property,

y + 50 + 70 = 180

Step 2:

x and y are linear pairs, forming a supplementary angle.

Therefore,

x + y = 180

Step 3:

Since they are both equal to 180, equate the values

y + 50 + 70 = x + y

x = 70 + 50

x = 120

For this equation, the bottom part of the equation cannot be zero, so the domain at the moment is:

    [tex]x > 4[/tex]

However, also on top, the numerator includes a square root which can equal zero but cannot be negative, thus the domain is

 (6, ∞)

Hope that helps!

Answer:  25%

Step-by-step explanation: brainlest will be nice

Answer:

25%

Step-by-step explanation: IN THE PICTURE

1st picture - Full 2 ways to do this with explanation

2nd picture - First way to do this with explanation

3rd picture - Second way to do this with explanation

THANKS!

Answer:

D. 4

Step-by-step explanation:

x=2, y=4 on the graph

Therefore, f(2)=4

~

Hope this helps!

Answer:

15.6, 1.65, 1.56, .56

Step-by-step explanation:

it is just greatest to least

Answer:

8 N + 2

Step-by-step explanation:

==> 8 N + 2

-----------_________-------------

Answer:

B

Step-by-step explanation:

Because none of the other answers make sense

Answer:

Make sure that the experiment is safe to conduct.

Step-by-step explanation:

If it is noy safe do not conduct it because you could get hurt.

Hope this helps!