In how many ways can we color the $8$ vertices of an octagon each red, green, or blue, so that no two adjacent vertices are the same color

Answer:

The investment rate that you need for a 5000$ invest compounded annually to double in 10 years is 55,000

Step-by-step explanation:

The graph is shown below. Then the linear system crosses each other at (1.5, 5).

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear equations are given below.

y = 5 ...1

2x + y = 8 ...2

The graph is shown below.

By equations 1 and 2. Then we have

2x + 5 = 8

     2x = 3

       x = 1.5

Then the lines cross each other at (1.5, 5).

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Answer:  1 1/8 or 9/8

Step-by-step explanation:

5 1/2-4 3/8= 1/ 1/8

Answer: 16 cups per second.

Step-by-step 5.5 minutes into seconds 320.

620 gallons into cups 9920.

9920 divided by 320 seconds.

16 cups per second

Answer:

(6x9) + (9x1)

Step-by-step explanation:

The solution to the system of equation 8x -4y = -24, 4x - 12y = -32 is x = 19 / 8 and y = 5 / 4

The solution of the system of equation can be found as follows:

8x -4y = -24

4x - 12y = -32

Multiply equation(ii) by 2

8x - 4y = -24

8x - 36y = -64

32y = 40

y = 40 / 32 = 5 / 4

8x - 4(5  / 4) = -24

8x - 5 = -24

8x = -24 + 5

8x = 19

x = 19 / 8

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Answer:

80%

Step-by-step explanation:

9 + 4 + 7 = 20

1 out of 20 = 5%

4 plums = 20%

Answer:

4/5 or 80%

Step-by-step explanation:

So u add up all the fruits which is 20. And then then u make a fraction which is all fruits but not plums over all fruits. So it is 16/20. The 16 came from not having the plums bc there are 4 plums and 20 - 4 = 16. Simplified of 16/20 is 4/5 or %80.

Answer:

36? its not on there but that is it.

The attributes to each three-dimensional shape that has the cross-section is 4,16 and 4.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given;

Quadrilateral A: area of 16 square inches

Quadrilateral B: perimeter of 24 inches

Quadrilateral C: perimeter of 16 inches

Now,

Quadrilateral A:

a^2=16

a=4

Quadrilateral B;

4a=24

a=6

Quadrilateral C:

4a=16

a=4

Therefore, the answers of quadrilaterals will be 4,6 and 4.

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The percentage of 4c that's the expression 0.04c will be is 1%.

From the complete information, we are told to calculate the percentage of 0.04c from 4c.

This will be calculated thus:

= 0.04c/4c × 100

= 0.01

= 1%

Therefore, the percentage is 1%.

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[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf \!\!\!\!Wall}\put(2.8,.3){\large\bf Ground}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf$39^{\circ}$ }\end{picture}[/tex]

We need the walls height then ground distance

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sin39=\dfrac{P}{26}[/tex]

[tex]\\ \rm\Rrightarrow P=26sin39[/tex]

[tex]\\ \rm\Rrightarrow P=16.4in[/tex]

Distance of wall from skateboard touching point on ground:-

[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos39=\dfrac{B}{26}[/tex]

[tex]\\ \rm\Rrightarrow B=26cos39[/tex]

[tex]\\ \rm\Rrightarrow B=20.2in[/tex]

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Answer:

7.5

Step-by-step explanation:

you take the largest number (9.8) and subtract with the smallest number (2.3)

Answer:

First one is the answer of the question u asked

Answer:

Option a: ∑⁵(n−1)! is the correct answer.

n=²

Step-by-step explanation:

Option a: ∑n=25(n−1)

By substituting the values of n and expanding the summation, we have,

(2−1)!+(3−1)!+(4−1)!+(5−1)!

Subtracting, we have,

1!+2!+3!+4!

Expanding the factorial,

1+(2∗1)+(3∗2∗1)+(4∗3∗2∗1)

Simplifying, we get,

1+2+6+24

Thus, the summation ∑⁵ (n−1)! represents the

n=2

series 1+2+6+24

Hence, Option a is the correct answer.

Answer:

A

Step-by-step explanation:

sin 32=29.2/x

x=29.2/sin 32

Answer:

[tex]A.\:\:x =\frac{29.2}{\sin (32)\degree}[/tex]

Step-by-step explanation:

Answer:

B, E

Step-by-step explanation:

Needs a 3:4:5 ratio, or, if it is an isosceles triangle, then n:n:nsqrt(3)

Answer:

14th term

Step-by-step explanation:

12÷10 = 1.2

14.4÷12 = 1.2

17.28÷14.4 = 1.2

Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’

We call it (Vn)

The general term of the sequence:

Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹

To determine the term at which the sequence exceeds 100 we have to solve the equation:

Vn ≥ 100

⇔ 10×(1.2)ⁿ⁻¹ ≥ 100

⇔ (1.2)ⁿ⁻¹ ≥ 100/10

⇔ (1.2)ⁿ⁻¹ ≥ 10

⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)

⇔ (n-1)×ln(1.2) ≥ ln(10)

[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]

[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]

Verification:

[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]

Answer:

[tex]x = 0.2[/tex]

Step-by-step explanation:

In the question since the angle we were given was 41°, whereby x was the adjacent and 0.3 was the hypothenus. We have to use cosine to find the value of x.

[tex]recall: \: cosine = \frac{a}{h} \\ \\ a = x \: \: \: h = 0.3 \: \: \: \: angle = 41[/tex]

Therefore:

[tex] \cos(41) = \frac{x}{0.3} \\ \\ 0.75 = \frac{x}{0.3} \\ \\ 0.8(0.3) = x \\ \\ 0.24 = x[/tex]

Since we were asked to round it to the nearest tenth, then the answer would be 0.2.

Answer:

x = 0.2

Step-by-step explanation:

Given: Right angle DEF, angle E = 90°, angle D = 41°, angle DF = 0.3

To find value of x:

Solution: In angle DEF, angle E = 90°.

[tex] cos \: 41° = \frac{adjacent \: side}{hypotenuse} = \frac{DE}{DF} [/tex]

[tex]cos \: 41° \: = \frac{x}{0.3} [/tex]

x = 0.3 × cos 41° = 0.226 ≈ 0.2

Hence x = 0.2

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

x = 60

Step-by-step explanation:

Discussion

You have 3600 boxes and 60 trucks

The formula you want is

Total Boxes = Number of trucks * number of boxes per truck.

Givens

Total boxes = 3600

Total trucks = 60

Solution

3600 = 60 * x                    Divide by 60

3600/60 = 60x/60

x = 60

Answer:

x = 14

Step-by-step explanation:

The gcf is 6

so: 42+12= 6(7+2)

Answer:

see explanation

Step-by-step explanation:

the factors of 42 are 1, 2, 3, 6, 7, 14 ,  21, 42

the factors of 12 are 1, 2, 3, 4, 6, 12

common factors are 1, 2, 3, 6

GCF = 12

then

42 + 12 ← factor out 6 from each term

= 6(7 + 2)

answer is: Notice that if the population doubles every 12 years, it quadruples (4 times) in 24, multiplies by 8 in 36, and multiplies by 16 in 48 years.

Answer:

1. -3*-4+3= 15Y=152.-3*-2+3=9Y=93. -3*0+3=3Y=34. -3*2+3= -3Y= -3

by-step explanation:

Answer:

1) 1.1 seconds

2) 13.5 feet

[tex]\rightarrow \sf -16t^2 + 5t + 15 = 0[/tex]

Apply quadratic formula:

[tex]\rightarrow \sf t= \dfrac{-5\pm \sqrt{5^2-4\left(-16\right)\cdot \:15}}{2\left(-16\right)}[/tex]

Simplify following

[tex]\rightarrow \sf t=-\dfrac{-5+\sqrt{985}}{32},\:t=\dfrac{5+\sqrt{985}}{32}[/tex]

In decimal form:

[tex]\rightarrow \sf t=-0.825 ,\:t=1.137[/tex]

Conclusion:

As time is be only positive: t = 1.1 seconds

[tex]\rightarrow \sf h=-16t^2 + 5t + 15[/tex]

insert t = 0.5

[tex]\rightarrow \sf h=-16(0.5)^2 + 5(0.5) + 15[/tex]

simplify

[tex]\rightarrow \sf h=13.5[/tex]

Answer:

2.57 or rounded to 1 sig digit just 3

Answer:

your answer is N = {xxx: =9n

And XZ=1/2XY

XZ be x

Now

XZ=21.4units

Answer:

XZ = 21.4 units

Step-by-step explanation:

If  ΔXYZ  is an isosceles triangle then XY = ZY

(the dashes on the line segments indicate they are of equal measure)

If XZ = ¹/₂XY then

⇒ 2XZ = XY = ZY

If the perimeter is 107 units:

⇒ Perimeter of ΔXYZ = XY + ZY + XZ

⇒ 107 = 2XZ + 2XZ + XZ

⇒ 107 = 5XZ

⇒ XZ = 107 ÷ 5

⇒ XZ = 21.4 units

Answer:

x=5 y=2

Step-by-step explanation:

3x-6y=3

3x=3+6y

x=1+2y

Substitute x for 4x+6y=32

4+8y+6y=32

4+14y=32

14y=28

y=2

3x-12=3

3x=15

x=5