Which transformation carries the regular pentagon onto itself?

Answer:

The 7th term is 1856.

Step-by-step explanation:

The equation of this is n * 2 for the next of every variable. So with this knowledge,

first term = 29

Multiply by 2.

second term = 58

Multiply by 2.

third term = 116

Multiply by 2.

fourth term = 232

Multiply by 2.

fifth term = 464

Multiply by 2.

sixth term = 928

Multiply by 2.

seventh term = 1856.

9514 1404 393

Answer:

  (0, 1)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis. The x-coordinate is always 0 there. Here, the y-coordinate is 1 grid square up from the x-axis, so the coordinates of the y-intercept are (0, 1).

Answer:

Below in bold.

Step-by-step explanation:

As they are similar corresponding sides are in the same proportion so

3/2 = BC/3

2BC = 3*3

2BC = 9

BC = 4.5.

3/2 = 5/DF

3DF = 2*5

DF = 2*5 / 3

= 3.33...

Perimeter of ABC = 3 + 4.5 + 5 = 12.5.

Perimeter of DEF =  2 + 3 + 3.33.. = 8.33...

Answer:

BC = 4.5 cm

DF = 10/3 cm

Step-by-step explanation:

Corresponding sides of similar triangles are in same ratio

[tex]\frac{BC}{EF}=\frac{AB}{DE}\\\\\frac{BC}{3} =\frac{3}{2}\\\\BC = \frac{3}{2}*3\\\\BC = \frac{9}{2}\\\\BC = 4.5 cm[/tex]

[tex]\frac{DF}{AC}=\frac{DE}{AB}\\\\\frac{DF}{5}=\frac{2}{3}\\\\DF = \frac{2}{3}*5\\\\DF = \frac{10}{3}[/tex]

Perimeter of ΔABC = 3 + 5 +4.5 = 12.5cm

Perimeter of ΔDEF = 2 + 3 + 3.3 = 8.3 cm

Answer:

6 poinnts per question

Step-by-step explanation:

Answer:

x = the number of points for each question

6 = number of questions

36 = total number of points

number of questions times the number of points will equal total points

6x = 36

divide both sides by 6

6x/6 = 36/6

x= 6

Step-by-step explanation:

Answer:

3 root 2, a

Step-by-step explanation:

goodluck on your test

Answer:

x=9

Step-by-step explanation:

Use the triangle Similarity theorem. First, make a proportion.

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

21 / 77 is equal to 30 / 11x + 11         then solve.

Step 1: Cross-multiply.

21*(11x+11)=(30)*(77)

231x+231=2310

Step 2: Subtract 231 from both sides.

231x+231−231=2310−231

231x=2079

x=9

HOPE THIS HELPS!

Answer:

120cm³

Step-by-step explanation:

The volume of a rectangular prism is the length multiplied by the width and height. You may not have multiplied correctly or multiplied all of the dimensions.

So, let's multiply our dimensions, 4cm × 6cm × 5 cm.

4 · 6 · 5 = 120

4 times 6 equals 24, then 24 times 5 is 120.

The volume of the box, then, is 120cm³. Remember to use the ³ (cubed) sign for volume.

Good luck :)

The correct letter that match each summation expression are;

[tex]\displaystyle \sum\limits_{i=1}^n[/tex] is equal to c

[tex]\displaystyle {\sum\limits_{i=1}^n i}[/tex] is equal to b

[tex]\displaystyle \sum_{i=1}^n c[/tex] is equal to d

[tex]\displaystyle\sum_{i=1}^n i^3[/tex] is equal to e

[tex]\displaystyle \sum\limits_{i=1}^n i^2[/tex]is equal to a

The summation expression indicates the sum of all values of a series of a function within a specified limit of values.

The equation for the sum of a constant c and the ith term of an of a sequence of numbers is equivalent to the product of the constant and the sum of the terms of the sequence as follows;

[tex]\sum\limits_{i=1} ^n {c\cdot a_i} = c\cdot \sum\limits_{i=1} ^n {a_i}[/tex] the correct option is c

The sum of ith terms from i = 1 to i = n is an arithmetic series with the formula;

Sₙ = (n/2)·[2·a + (n - 1)·d]

Where; a = The first term = 1

d = The common difference = 1

Therefore;

Sₙ = (n/2)·[2 + (n - 1)] = n + n·(n - 1)/2 = (2·n + n² - n)/2

(2·n + n² - n)/2 = (n² + n)/2 = n·(n + 1)/2

Therefore;

[tex]\sum\limits_{i=1}^n i = \dfrac{n\cdot (n + 1)}{2}[/tex] The correct option is b

The sum of n number of a constant, c is c·n, therefore;

[tex]\sum\limits_{i = 1}^n c = c\cdot n[/tex] The correct option is d

[tex]\sum\limits_{i=1}^n [(1 + i)^3-i^3[/tex] = (2³ - 1³) + (3³ - 2³) + ... + ((n + 1)³ - n³) = (n + 1)³ - 1³

(n + 1)³ - 1³ = n³ + 3·n² + 3·n

[tex]\sum\limits_{i=1}^n [(1 + i)^3-i^3[/tex] = n³ + 3·n² + 3·n

However, we get;'

[tex]\sum\limits_{i=1}^n [(1 + i)^3-i^3[/tex] = [tex]\sum\limits_{i=1}^n [ i^3 + 3\cdot i^2 + 3\cdot i+ 1-i^3][/tex]

[tex]\sum\limits_{i=1}^n [ i^3 + 3\cdot i^2 + 3\cdot i+ 1-i^3][/tex] = [tex]\sum\limits_{i=1}^n [ 3\cdot i^2 + 3\cdot i+ 1][/tex] = 3·S₂ + 3·S₁ + n

Where;

[tex]S_2 = \sum\limits_{i=1}^n i^2[/tex]

[tex]S_1 = \sum\limits_{i=1}^n i[/tex] = n·(n + 1)/2

[tex]\sum\limits_{i=1}^n [ 3\cdot i^2 + 3\cdot i+ 1][/tex] = n³ + 3·n² + 3·n = 3·S₂ + 3·S₁ + n

3·S₂ = n³ + 3·n² + 3·n - (3·S₁ + n) = n³ + 3·n² + 3·n - (3·(n·(n + 1)/2) + n)

n³ + 3·n² + 3·n - (3·(n·(n + 1)/2) + n) = n³ + 3·n²/2 + n/2

3·S₂ = n³ + 3·n²/2 + n/2

S₂ = n³/3 + 3·n²/6 + n/6 = (2·n³ + 3·n² + n)/6

S₂ = (2·n³ + 3·n² + n)/6 = n·(2·n² + 3·n + 1)/6

S₂ = n·(2·n² + 3·n + 1)/6 = n·(2·n + 1)·(n + 1)/6

S₂ = n·(2·n + 1)·(n + 1)/6

[tex]S_2 = \sum\limits_{i=1}^n i^2 = \dfrac{n\cdot (2\cdot n + 1)\cdot (n + 1)}{6}[/tex] The correct option is; a

(n + 1)⁴ - n⁴ = 4·n³ + 6·n² + 4·n + 1

Therefore;

(n + 1)⁴ - 1⁴ = 4·S₃ + 6·S₂ + 4·S₁ + n

4·S₃ = (n + 1)⁴ - 1⁴ - (6·S₂ + 4·S₁ + n)

(n + 1)⁴ - 1⁴- (6·(n·(2·n + 1)·(n + 2)/6) + 4·(n·(n + 1)/2) + n) = (n + 1)·(3·n² - n + 1)

4·S₃ = n²·(n + 1)²

S₃ = n²·(n + 1)²/4

[tex]S_3 = \sum\limits_{i=1}^n i^3 = \dfrac{n^2\cdot (n+1)^2}{4}[/tex] The correct option is e

Learn more about the sum of a series of values here: https://brainly.com/question/28586583

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Answer: Top right

Step-by-step explanation:

thank me later

Answer:

[tex]\boxed{\boxed{\tt m=-13}}[/tex]

Step-by-step explanation:

[tex]\tt 9m-\left(6m-7\right)=2\left(m-3\right)[/tex]

Expand, Apply the Distributive property:

[tex]\tt 9m-\left(6m-7\right)\leadsto \underline{3m+7}[/tex]

[tex]\tt 2\left(m-3\right)\leadsto \underline{2m-6}[/tex]

[tex]\star \:\:\tt 3m+7=2m-6[/tex]

Subtract 7 from both sides:

[tex]\star \:\:\tt 3m+7-7=2m-6-7[/tex]

[tex]\star \:\: \tt 3m=2m-13[/tex]

Subtract 2m from both sides:

[tex]\star \:\: \tt 3m-2m=2m-13-2m[/tex]

[tex]\star \:\: \tt m=-13[/tex]

Answer:

Hello There!!

Step-by-step explanation:

I think it is the second option as you use the formula for finding out the area of a triangle which is b×h/2 so 18×6=108 then divide by 2 or half it which gets the answer of 54mi^2.

hope this helps,have a great day!!

~Pinky~

Answer:

54m^2

Step-by-step explanation:

Area of triangle is base * height /2

18*6/2

108/2

54

Answer:

you multiply im pretty sure

Step-by-step explanation:

Answer:

she uses 12×5=60 grapes

Answer:

30

Step-by-step explanation:

5 grapes : 2 strawberries

5 : 2

x : 12

x = (5 × 12) ÷ 2

x = 30

The value of [tex]a_{4} = 37[/tex].

Here,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

We have to find value of [tex]a_{4}[/tex].

What is Sequence?

A sequence is a collection of elements that are arranged according to a specific pattern.

Now,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

Then to find value of [tex]a_{4}[/tex], we can find [tex]a_{2} , a_{3}[/tex] as;

[tex]a_{2} = -2(a_{1} ) - 1\\a_{2} = -2(4) - 1\\a_{2} = -9[/tex]

And,

[tex]a_{3} = -2(a_{2} ) - 1\\a_{3} = -2(9) - 1\\a_{3} = -19[/tex]

Hence, the value of [tex]a_{4}[/tex] is;

[tex]a_{4} = -2(a_{3} ) - 1\\a_{4} = -2(-19) - 1\\a_{4} = 37[/tex]

Therefore, The value of [tex]a_{4} = 37[/tex].

Learn more about the sequence visit:

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Answer:

The problem seems to be incomplete, after an online search I couldn't find the complete question, to be able to solve the question, I will assume that the known measure is the width W.

For a rectangular prism of length L and width W, the surface area is calculated as:

S = W*L

For the assumption we took, we have:

W = 39.5ft

And we also know that S = 158 ft^2

And we want to find the missing dimension, in this case is L, then we need to solve:

158 ft^2 = W*L

We just need to divide both sides by the known measure, W

We get:

(158 ft^2)/W = L

So you just need to replace the known value, and can find the missing one.

Answer:

The range is 17

Step-by-step explanation:

67, 63, 72, 62, 64, 79, 74, 66

To find the range of the data, take the largest number and subtract the smallest number.

The largest number is 79

The smallest number is 62

79-62 = 17

The range is 17

Answer:

t = - 24

Step-by-step explanation:

Given t varies inversely as a then the equation relating them is

t = [tex]\frac{k}{a}[/tex] ← k is the constant of variation

To find k use the condition t = 2 when a = - 4

2 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )

- 8 = k

t = [tex]\frac{-8}{a}[/tex] ← equation of variation

When a = [tex]\frac{1}{3}[/tex] , then

t = [tex]\frac{-8}{\frac{1}{3} }[/tex] = - 24

Answer:

201.1

Step-by-step explanation:

πx8²=201.1

Answer:

132in

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]

hope it helps

have a nice day

Answer:

15!

Step-by-step explanation:

so 40 people volentered to bring cakes, but 10 brought 2. So (30*1)+(10*2)=50 cakes. So, 30 percent of 50 cakes would be 15. To double check, times 50 by 100 and then 30 percent would become 30 (making super sure the actual answer is 15)

Answer:

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

➳ 0.

➳ 18 over 23.

Answer:

0 is the correct answer if you won't understand than contact me

Answer:

square root of 148

Step-by-step explanation:

distance formula: d=√(x2−x1)^2+(y2−y1)^2

d√=(-5--3)^2+(11--1)^2

d=√(-2)^2+(12)^2

d=√4+144

d=√148

Answer:

The missing angle to this triangle is 55 degrees, x is 14.65, and the other missing length is 8.4.

Step-by-step explanation:

In a triangle, all of the angles sum up to 180 degrees. We are given it is a right triangle with another given angle of 35 degrees. 180 degrees - 90 degrees - 35 degress is 55 degrees. Now, we can use law of sines to find x. x / sin 90 degrees = 12 / sin 55 degrees. sin 90 degrees can be simplified to 1. x = 12 / sin 55 degrees. x = 14.65. By using the pythagorean theorem, we can find the last missing side, which is 8.4.

Answer:

[tex]\frac{1}{2}[/tex] or 0.5 or 50%

Step-by-step explanation:

P(not even) = P(odd) = P(1) or P(3) or P(5) = P(1) + P(3) + P(5)

= [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex] = [tex]\frac{3}{6}[/tex]= [tex]\frac{1}{2}[/tex]

Alternatively

P(not even) = 1 -P(even) = 1 - [P(2) or P(4) or P(6)]

= 1 - [ [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex]] = 1 - [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Radicals and fractional exponents are alternate ways of expressing the same thing. ... These examples help us model a relationship between radicals and rational ... Problem. Write as an expression with a rational exponent. The radical form can be ... Change the expression with the rational exponent back to radical form.  

Answer:

The correct answer is 575.

Answer: