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4, 8, 8

At each node, three faces meet. One is square (4 sides); the other two are octagons (8 sides). Hence the tiling can be named with three numbers: 4, 8, 8.

Answer:

4, 8, 8

At each node, three faces meet. One is square (4 sides); the other two are octagons (8 sides

Step-by-step explanation:

Answer:

[tex]\sqrt{3}[/tex]  :1

Step-by-step explanation:

Ratio of height of two cylinders are 3:1

Let C2 has the height x

then height of C1 is 3x

Let r1 is the radius of C1

and r2 is the radius of C2

As given that volume of both are equal

Also we know that formula for the volume of the cylinder is

V= π r²h

for C1

V= π (r1)²h

for C2

V=π (r2)²h

As volume of both are same so equating them

π (r1)²h1 = π (r2)²h2

as h1 =3x and h2=x

putting values

π (r1)²(3x) = π (r2)²(x)

cancelling out π and x from both side of the equation

3(r1)²= (r2)²

Taking square root of both sides give

[tex]\sqrt{3(r1)^{2} }=\sqrt{(r2)^{2} }[/tex]

r1 ( [tex]\sqrt{3}[/tex]) = r2

or

r1 : r2 =  [tex]\sqrt{3}[/tex]  :1

Answer:

C. Decreasing; Linear.

Step-by-step explanation:

We have been given a table that shows the relationship between two variables.

Let us find slope of our given values using slope formula.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let us find rate of change for points (1,5) and (2,-1)

[tex]m=\frac{-1-5}{2-1}[/tex]

[tex]m=\frac{-6}{1}=-6[/tex]

Let us find slope for points (3,-7) and (4,-13).

[tex]m=\frac{-13--7}{4-3}[/tex]

[tex]m=\frac{-13+7}{1}[/tex]

[tex]m=\frac{-6}{1}=-6[/tex]

We can see that rate of change is constant (-6), therefore, our function is a linear function. Since slope is negative (-6) and with each increase in x, our y is decreasing, therefore, our function is decreasing.

Let m and b represent the numbers of math and biology books sold, respectively. The problem statement tells you ...

... m + b = 266

... m - b = 54 . . . . . . . 54 more math books were sold

Adding these two equations gives you ...

... 2m = 320

... m = 160 . . . . . divide by 2

... b = 160 -54 = 106 . . . . 54 fewer biology books were sold.

160 math textbooks and 106 biology textbooks were sold in a week.

Answer:

Three cubes

Step-by-step explanation:

The cubes have to be indistinguishable and all orientations of one cube are also have to be indistinguishable.

All ways of connecting two cubes result in the same shape. So answer is larger than two.

After connecting two cubes, there are ten faces where the third cube can be attached, and two faces which are connected, accounting for all 12 faces of two cubes.

Of the 10 exposed faces, exactly two are on opposite ends, both leading to the same straight line figure. The other 8 faces all lead to an L shape, and all L shapes can be rotated to be identical.

Hence, three cubes can only make a straight shape or an angled shape.

Four cubes can make a straight shape, a L shape, a Γ shape (but flipping it over through 3 dimensions makes L and Γ identical), a T shape, and a square shape. That is either four or five different objects depending on if they can be lifted from the table. Anyway, it is more than two.

Answer:

(i)

Emily's score was 9

(ii)

e = m + 2

Step-by-step explanation:

Let's assume

Emily's score is e

Miguel's score is m

Valerie's score is v

Their combined score is 24

so, we get

[tex]e+m+v=24[/tex]

Emily and Miguel's combined score is twice that of Valerie

we get

[tex]e+m=2v[/tex]

Valerie scored only one more point than Miguel

we get

[tex]v=m+1[/tex]

(i)

we got system of equations as

[tex]e+m+v=24[/tex].............(1)

[tex]e+m=2v[/tex]..................(2)

[tex]v=m+1[/tex]......................(3)

we can plug second equation into first one

[tex]2v+v=24[/tex]

[tex]3v=24[/tex]

[tex]v=8[/tex]

now, we can plug this into second and third equation

[tex]v=m+1[/tex]

we can plug it and find m

[tex]8=m+1[/tex]

[tex]m=7[/tex]

now, we can find e

[tex]e+7=2\times 8[/tex]

[tex]e=9[/tex]

So, Emily's score was 9

(ii)

we  got

e=9

m=7

9=7+2

e=m+2

Answer: Emily's score is 9; Equation (D) v = m+1

Step-by-step explanation: To find Emily's score, let's represent each score with their own initials, i.e.: Emily's score is E; Miguel's score is M and Valerie's score is V.

Their combined score is 24, which means:

E + M + V = 24 (1)

Emily and Miguel's combined score is twice of Valerie, in other words:

E + M = 2V (2)

Valerie scored only one point more than Miguel:

V = M + 1 (3)

Substitute (3) into (2):

E + M = 2(M + 1)

E = 2M - M + 2

E = M + 2 (4)

With (3) and (4), use it to substitute into equation (1):

E + M + V = 24

M + 2 + M + M + 1 =24

3M = 21

M = 7

Using M=7 to find E:

E = M + 2

E = 7 + 2

E = 9

Emily's score is 9.

To represent the situation, the correct equation is V = M + 1, which means Valerie's score is 1 more than Miguel, which is exactly what's written in the question.

Answer:

Triangle PQR

Step-by-step explanation:

PQR I am just adding extra words so I have a higher word count so it accepts my answer :)

The simplified expression is [tex]\( \frac{x - 2}{x + 2} \)[/tex].

To divide the expression [tex]\(\frac{x^3 - 8}{x^2 + 2x + 4}\) by \((x^2 - 4)\)[/tex], you first factor both the numerator and denominator.

Factor the numerator:

[tex]\[ x^3 - 8 \][/tex]

[tex]\[= (x - 2)(x^2 + 2x + 4) \][/tex]

This is based on the difference of cubes: [tex]\(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\), where \(a = x\) and \(b = 2\).[/tex]

Now, factor the denominator:

[tex]\[ x^2 + 2x + 4 \][/tex]

[tex]\[= (x + 2)^2 \][/tex]

The expression becomes:

[tex]\[ \frac{(x - 2)(x^2 + 2x + 4)}{(x + 2)^2} \][/tex]

Now, divide by [tex]\((x^2 - 4)\)[/tex]:

[tex]\[ \frac{(x - 2)(x^2 + 2x + 4)}{(x + 2)^2} \div (x^2 - 4) \][/tex]

Factor [tex]\(x^2 - 4\)[/tex] further:

[tex]\[ x^2 - 4 = (x + 2)(x - 2) \][/tex]

Now, cancel out common factors:

[tex]\[ \frac{(x - 2)(x^2 + 2x + 4)}{(x + 2)^2} \div (x^2 - 4) = \frac{x - 2}{x + 2} \][/tex]

Therefore, the simplified expression is [tex]\( \frac{x - 2}{x + 2} \)[/tex].

Complete question:

Simplify: X^3-8/x^2+2x+4 divided by (x^2-4)

Answer:

All the answers are correct

Step-by-step explanation:

Any relation that is a function will pass the vertical line test, regardless of any other characteristic it may have (such as being the inverse of some other function).

The inverse of a function is that function reflected across the line y=x. If the inverse passes the vertical line test (is a function), then the original must pass the horizontal line test. The reflection of a vertical line is a horizontal line and vice versa.

Answer:

The line will change its slope by a factor of -2 (line will now "point down" with twice the original steepness)

Step-by-step explanation:

f(x) = x    | replace f(x) --> (-1/2)f(x)

(-1/2)f(x) = x

f(x) = -2x

Answer:

A and C

Step-by-step explanation:

I hope I helped you.

Answer:

[tex]3 \cdot 10^{-10}[/tex]

Step-by-step explanation:

[tex]\dfrac{1.2\cdot 10^{-3}}{4\cdot 10^{6}}=\dfrac{12\cdot 10^{-4}}{4\cdot 10^{6}}\\\\=\dfrac{12}{4}\cdot 10^{-4-6}=3\cdot 10^{-10}[/tex]

I like to adjust the operands so the quotient needs no adjustment. Here that means rewriting the numerator to an equivalent value with a mantissa between 4 and 40.

yes

no

Doing what the directions say is generally a good idea.

Adding a number moves to the right; subtracting a number moves to the left. Subtracting a negative number is the same as adding its opposite.

The arrowhead end of the line in the figure is the end result. Two of them end up to the right of -8, that is, greater than -8.

Answer:

Answer:

yes

-6-(-6)

-4-(-7)

no

all others

Step-by-step explanation:

Answer:

-20x +52

Step-by-step explanation:

To solve this, we put the function g(x) into the function f(x) in the place of x

Put 5x-3 in for x in -4x

f(g(x)) = -4 (5x-13)

       = -4*5x -4(-13)

       = -20x +52

Answer:

$3.13

Step-by-step explanation:

We assume you mean the tax rate is 4.4%. Then the tax on $3 is ...

... tax = (tax rate) × (item cost)

... = 4.4/100 × 3.00 = 4.4 × .03 = 0.132 ≈ 0.13

The amount paid is ...

... amount paid = tax + item cost = $0.13 +3.00

... amount paid = $3.13

Answer:

492,000

Step-by-step explanation:

Do 41,000x12. Pls mark me brainliest if im correct!

Answer:

Step-by-step explanation:

A) Use the distributive property to eliminate parentheses. Then combine like terms. (The only "like terms" are the constants.)

... = 12 +3·2y +3·(-3) . . . use the distributive property to multiply each term in parentheses by the factor 3 outside those parentheses

... = 12 +6y -9 . . . . . . . . simplify

... = 6y + (12 -9) . . . . . . group like terms together

... = 6y + 3 . . . . . . . . . . simplify

___

B) Look for factors of each term that are also found in the other term.

... 18b has factors 3×6×b

... 12 has factors 2×6

The only common factor is 6, so we factor that out using the distributive property.

... 18b -12 = 6(3b -2)

_____

Comment on factoring

For factoring problems, it helps immensely if you know your times tables and some of the rules for divisibility. (Even numbers are divisible by 2, numbers ending in 0 or 5 are divisible by 5, numbers whose sum of digits is divisible by 3 are divisible by 3, for example.)

ANSWER:  

The candle was 12 inches tall to begin with.

After 2 hours (120 minutes), the height of the candle is approximately 9.9625 inches.

To start, let's define our variables:

t  represents time in minutes.

h  represents the height of the candle in inches.

First, we find the rate at which the candle is burning. The change in height over time is [tex]\( \frac{{11.2 - 10.75}}{{32}} \)[/tex] inches per minute.

Using point-slope form [tex]\( y - y_1 = m(x - x_1) \)[/tex], where [tex]\( (x_1, y_1) \)[/tex] is a point on the line and  m  is the slope, we can use the point [tex]\((32, 11.2)\)[/tex] and the calculated slope to find the equation of the line.

[tex]\( h - 11.2 = \frac{{11.2 - 10.75}}{{32}}(t - 32) \)[/tex]

Simplify to: [tex]\( h - 11.2 = -\frac{{0.45}}{{32}}(t - 32) \)[/tex]

Next, we want to find the height after 2 hours (which is 120 minutes). Substituting t = 120  into the equation:

[tex]\( h - 11.2 = -\frac{{0.45}}{{32}}(120 - 32) \)[/tex]

[tex]\( h - 11.2 = -\frac{{0.45}}{{32}}(88) \)[/tex]

[tex]\( h - 11.2 = -1.2375 \)[/tex]

Now, solving for  h :

[tex]\( h = 11.2 - 1.2375 \)[/tex]

[tex]\( h = 9.9625 \)[/tex]

So, after 2 hours (120 minutes), the height of the candle is approximately 9.9625 inches.

Answer:

There should be 120 peanuts

Step-by-step explanation:

We can use ratio's to solve this problem

5 bags

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

75 peanuts

5 bags           8 bags

---------------  = ------------------

75 peanuts      x peanuts

Using cross products

5x = 75*8

5x = 600

Divide each side by 5

5x/5 = 600/5

x = 120

Answer:

if 5 bags of peanuts = 75peanuts

Then 1 bag will be 15 peanuts beacause 75 divided by 5 is 15

8 bags of peanuts will then be 15 multiply by 8 which is 120 peanuts

Step-by-step explanation:

$137,557.93

It is convenient to let a spreadsheet do the calculations. The number in the fourth column is the number in the first column divided by the number in the second column and multiplied by the number in the third column.

For example, the weighted average cost of Widgets is ...

... 135,320.00 × 866/2740 = 42,769.02

Then the total of all on-hand inventory is the sum of the inventory costs of the three items: $137,557.93.

x = 0.973

3e^(2x) +5 = 26

3e^(2x) = 21 . . . . . subtract 5

e^(2x) = 7 . . . . . . . divide by 3

2x = ln(7) . . . . . . . .take the natural log

x = ln(7)/2 ≈ 0.973 . . . . divide by 2 and evaluate

Answer:

x= .973

Step-by-step explanation:

3e^2x +5=26

Subtract 5 from each side

3e^2x +5-5=26-5

3e^2x =21

Divide by 3 on each side

3/3e^2x =21/3

e^2x =7

Take the natural log on both sides

ln (e^2x) =ln (7)

2x = ln (7)

Divide by 2

2x/2 = ln(7)/2

x = ln(7)/2

x is approximately .972955075

Rounding to the nearest thousandth

x = .973

Answer:

I am 90% sure that the answer is M'N'O' is 90*

Step-by-step explanation:

A line segment MN is shown as M = -1,1 and N= -5,4 this makes a diagonal line across the grid. Another line segment NO is shown with O as ordered pair negative 1, 4. Angle MNO is rotated 90 degrees counterclockwise about the origin to form angle M′N′O′. this is where the angles meet, Rotating the shape (or the angles) does not change the degree of the angle of the shape. I am 99% sure that an 90* angle would be formed. but im just in middle school so what do i know?

Answer with explanation:

It is given that ,∠M NO is formed by segments MN and NO on the following coordinate grid.

Coordinate of Point M = (-1,1)

Coordinate of Point N= (-5,4)

Coordinate of Point O= (-1,4)

[tex]MN=\sqrt{(-1+5)^2+(1-4)^2}\\\\MN=\sqrt{16+9}\\\\MN=5\\\\NO=\sqrt{(-1+5)^2+(4-4)^2}\\\\NO=4\\\\MO=\sqrt{(-1+1)^2+(4-1)^2}\\\\MO=3[/tex]

MO²+NO²=MN²

So,By Pythagorean Theorem, ΔM NO is right Angled Triangle having ∠ O=90°.

Now, it is given that, ∠MNO is rotated 90 degrees counterclockwise about the origin to form ∠ M′N′O′.

⇒When we rotate a Triangle either Anticlockwise or Clockwise the triangle before Rotation and Triangle after rotation will be congruent to each other.

Option D:→

 m∠ M′N′O′ = m∠M NO

Answer:

r+6

Step-by-step explanation:

r = marbles that Rory has

r+6 = marbles that Conrad has

Answer:

r+6

Step-by-step explanation:

r = marbles that Rory has

r+6 = marbles that Conrad has

you could also use c

Answer:

8 5 and 6 are the coefficients

Step-by-step explanation:

For this case we have that by definition, a coefficient is the term that accompanies a variable. If we have the expression given by:

[tex]8x + 5 + 6y[/tex]

The number "5" is a constant.

Thus, two variables, "x" and "y", are observed.

Thus according to the definition, the coefficients are given by "8" and "6" respectively.

Answer:

8 and 6 are the  coefficients

To find the total number of people who came to the three showings, divide the total amount collected by the average admission price. Set up equations using the given information for each night and solve simultaneously to find the values of x, y, a, b, p, and q. Add those values to find the total number of people.

To find the total number of people who came to the three showings, we need to divide the total amount collected by the average admission price. Let's calculate:

On the first night, let's assume there were x children and y adults. So, we can set up the equation.

9x + 17y = 541.

Similarly, for the second and third nights, we can set up two more equations:

9a + 17b = 541 and 9p + 17q = 541.

Solving these three equations simultaneously will give us the values of x, y, a, b, p, and q, which represent the number of children and adults present on each night. Adding those numbers together will give us the total number of people who came to the three showings.

https://brainly.com/question/29183899

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Answer:

Net pay =$ 308

Step-by-step explanation:

Net pay  is the gross pay minus taxes

Net pay = gross pay - gross pay * tax rate

Simplifying this equation by factoring out gross pay

Net pay = gross pay (1- tax rate)

Gross pay =  hours worked * hourly rate

Substituting this in

Net pay = hours worked * hourly rate (1- tax rate)

We know the

hours worked = 40

Hourly rate = 8.75

tax rate = .12

Net pay = 40 * 8.75 (1- .12)

Net pay = 350(.88)

Net pay =$ 308

Answer:

D)180 mi/6 gal; by multiplying the numerator and denominator of the unit rate by 6.

Step-by-step explanation:

    30 mi/1 gal    Multiply numerator and denominator by 6

= 180 mi/6 gal

A) and C) are wrong because they have gallons in the numerator

B) is wrong. It should be either 90 mi/3 gal or 150 mi/5 gal.