A square and an equilateral triangle have the same perimeter. The length of the side of the square os x+10. The length of the side of the triangle os 4x. What is the length of the triangle side

The Constructed  confidence interval for the proportion of her photographs taken within the last year contained flowers is

[tex]CI\ E(0.57,0.65)[/tex]

From the question we are told that:

The proportion of photographs that had flowers P= 0.61

Margin of error of M.E= 0.04

Generally, the equation for Confidence interval for proportion is mathematically given by

[tex]CI=0.61 \pm 0.04[/tex]P \pm M.E

Therefore Confidence interval is

[tex]CI=0.61 \pm 0.04[/tex]

And can also be written as

[tex]CI\ E((0.61+0.04),0.61-0.04))[/tex]

[tex]CI\ E(0.57,0.65)[/tex]

In conclusion the Confidence interval is

[tex]CI\ E(0.57,0.65)[/tex]

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Answer:

I put a photo of the answers.

Step-by-step explanation:

For the problems, I turned the whole under into a fraction, flipped the second fraction and multiplied.

Answer:

25+10y

Step-by-step explanation:

The area of a rectangle is

A = l* w where l is the length and w is the width

A = 5(5+2y)

Distribute

A = 25+10y

Area of rectangle = Length * Width

Length is 5

Width is 5 + 2y

⇛Area = 5(5+2y)

⇛Area = 25 + 10y

Answer:

6 1/10

Step-by-step explanation:

Convert the mixed numbers into improper fractions (denominator × whole number + numerator / denominator):

9 2/5 = 47/5

3 3/10 = 33/10

Convert improper fractions to have the same denominator:

47/5 × 2/2 = 94/10

Find the difference by subtracting the numerators:

94/10 - 33/10 = 61/10

Convert the answer into a mixed number:

61/10 = 6 1/10

Answer:

x^2 + 10x + 24

Step-by-step explanation:

(x+6)(x+4)

x^2 + 4x + 6x + 24

x^2 + 10x + 24

Answer:

d.13 the measure of eg that's the answer

Answer:

a=35,b=49,c=-14

Step-by-step explanation:

[tex]\frac{a}{-5} =\frac{b}{-7} =\frac{c}{2} =r(say)\\a=-5r,b=-7r,c=2r\\a-b+c=-5r+7r+2r=4r=-28\\r=\frac{-28}{4}=-7\\a=-5 \times -7=35\\b=-7 \times -7=49\\c=2 \times -7=-14[/tex]

Answer:

y=-1

x=3

Step-by-step explanation:

7x+2y=19-----(1)

7x+8y=13------(2)

(1)-(2)

(7x+2y)-(7x+8y)=19-13

7x+2y-7x-8y=6

+2y-8y=6

-6y=6

y=-1

by substitute in (1)

7x+2*(-1)=19

7x-2=19

7x=19+2

7x=21

x=21/3

x=3

Answer:

2x² + x - 15

Step-by-step explanation:

(3 + x)(2x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

3(2x - 5) + x(2x - 5) ← distribute both parenthesis

= 6x - 15 + 2x² - 5x ← collect like terms

= 2x² + x - 15

Answer:

6x^2 + 24x

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

RT = ST + RS

RT = x + 5, ST = 4x - 9, RS = x - 2

x + 5 = 4x - 9 + x - 2

Combine like terms

x + 5 = 5x - 11

Add 11 to both sides

x + 16 = 5x

Subtract x from both sides

16 = 4x

Divide both sides by 4

4 = x

Find RT

RT = x + 5

x = 4

RT = 4 + 5

RT = 9

Answer:

RT = 9

Step-by-step explanation:

        R         x - 2                   S        4x - 9             T

        +-------------------------------+--------------------------+

                                         x + 5

RT = RS + ST

x + 5 = x - 2 + 4x - 9

x + 5 = 5x - 11

-4x = -16

x = 4

RT = x + 5

RT = 4 + 5

RT = 9

Answer:

this is a very big number

Step-by-step explanation:

(7000000000)⁷⁰⁰⁰⁰⁰⁰

Answer:

There are 72 fligs in 12 flugs

Step-by-step explanation:

-3x - 3 <= 6

-3x <= 9

x >= -3

your answer options are not clear to me.

so, please pick the one corresponding to all x >= -3.

for any value of x greater or equal to -3 that inequality is true.

The solution of inequality is,

⇒ x ≥ - 3

We have to given that,

An inequality to solve,

⇒ - 3x - 3 ≤ 6

Now, We can simplify the inequality as,

⇒ - 3x - 3 ≤ 6

Add 3 both side,

⇒ - 3x ≤ 6 + 3

⇒ - 3x ≤ 9

Divide by 3;

⇒ - x ≤ 9/3

⇒ - x ≤ 3

⇒ x ≥ - 3

Therefore, The solution of inequality is,

⇒ x ≥ - 3

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Step-by-step explanation:

6a.

[tex] - 5 = - 3 + a[/tex]

[tex] - 2 = a[/tex]

6b.

[tex]3c + 2 = - 22[/tex]

[tex]3c = - 24[/tex]

[tex]c = - 8[/tex]

Answer:

Step-by-step explanation:

[tex]in~the~expansion~of~(x+a)^n\\T_{r+1}=ncr x^{n-r}a^r\\r+1=3\\r=3-1=2\\n=4\\4c2=\frac{4 \times 3}{2 \times 1} =6\\T_{2}=4(x^2)^{4-2}(2)^2\\=16(x^2)^2\\=16x^4[/tex]

the third term is: 24*x^4

We want to find the third term of the equation:

(x^2 + 2)^4

So we need to expand that.

Remember the rule:

(a + b)^2 = a^2 + 2*a*b + b^2

(a + b + c)^2 = a^2 + b^2 + c^2 + 2*a*b + 2*b*c + 2*c*a

Then we can write:

(x^2 + 2)^4 = (x^2 + 2)^2*(x^2 + 2)^2

and we have:

(x^2 + 2)^2 = (x^4 + 2*2*x^2 + 2^2) = (x^4 + 4*x^2 + 4)

Then we have:

(x^2 + 2)^4 = (x^2 + 2)^2*(x^2 + 2)^2

(x^2 + 2)^4 = (x^4 + 4*x^2 + 4)^2

And we can expand this as:

(x^4)^2 + (4*x^2)^2 + 4^2 + 2*(x^4)*(4*x^2) + 2*(4*x^2)*(4) + 2*(x^4)*(4)

now we have this expanded, so we need to simplify this:

x^8 + 16*x^4 + 16 + 8*x^6 + 32*x^2 + 8*x^4

Putting the terms in order (larger degrees go in the left) we get:

x^8 + 8*x^6 + 16*x^4 + 8*x^4 + 32*x^2 + 16

x^8 + 8*x^6 + (16 + 8)*x^4 + 32*x^2 + 16

x^8 + 8*x^6 + 24*x^4 + 32*x^2 + 16

So the third term would be the third counting from the left, which is:

24*x^4

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Answer:

The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.

Step-by-step explanation:

Answer:

Step-by-step explanation:

r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3

a =term 1 = 3

n = 5

[tex]Sum = \frac{a(1-r^{n})}{1-r}[/tex]

        [tex]= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}[/tex]

Answer

15x^4+2x^3+8x^2-15

Answer:

15^4+2^3−8^2−22−15

Step-by-step explanation:

(3^2−2−3)(5^2+4+5)

Distribute:

3(5^2+4+5) ⋅ ^2−2(5^2+4+5) − 3(5^2+4+5)

15^4+12^3+15^2 − 2(52+4+5) − 3(52+4+5)

15^4+12^3+15^2 − 10^3−8^2−10 − 3(52+4+5)

15^4+12^3+15^2 − 10^3−8^2−10 − 15^2−12−15

Combine like terms:

15^4+12^3−10^3+15^2−8^2−15^2−10−12−15

15^4+2^3+15^2−8^2−15^2−10−12−15

15^4+2^3−8^2−10−12−15

15^4+2^3−8^2−22−15

15^4+2^3−8^2−22−15

hope it helps :)

please mark brainliest!

Answer:

16

Step-by-step explanation:

4(3 - 1)^2

~Simplify using PEMDAS

4(2)^2

4(4)

16

Best of Luck!

Answer:

0.999999

Step-by-step explanation:

Given that :

Probability of CD being defective, p = 0.1

q = 1 - p = 1 - 0.1 = 0.9

Total number of CD's = number of trials = 80

Probability, that no more than 35 CD's are defective ;

The question satisfied the requirements for a binomial probability problem ;

Recall :

P(x = x) = nCx * p^x * q^(n-x)

Hence,

P(x ≤ 35) = 80C35 * 0.1^35 * 0.9^(45)

Using calculator to save computation time :

P(x ≤ 35) = 0.999999

Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

Answer: -9

Step-by-step explanation:

5a+18 < -27

5a< -27-18

5a<-45

a< -45/5

a< -9

⇒x²+ 4² - x²+ 2x - 2x + 4 = 20

⇒ x² - x² + 2x - 2x + 4² + 4 = 20

⇒ 16 + 4 = 20

⇒ 20 = 20

RHS = LHS hence proved

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 0

Step-by-step explanation:

(a + b)² = a² +2ab + b²

(a +b)(a -b)= a² - b²

(x + 4)² - (x + 2 )(x - 2) = 20

x² + 2*4 *x + 4² - [x² - 2²] = 20

x² + 8x + 16 - [x² - 4]  = 20

x² + 8x + 16 - x²  + 4   = 20                 {(-1) is distributed x² and (-4)²}

x² - x² + 8x + 16 + 4     = 20 {Combine like terms}

                      8x + 20   = 20

                           8x      = 20 - 20

                               8x   = 0

x = 0

Answer:

Area of each sector=[tex]12.6cm^2[/tex]

Step-by-step explanation:

We are given that

Length of each wooden od that connects the center of the fan to its edge ,r=12 cm

Total number of sectors=18

We have to find the approximate area of each sector.

Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]

Using the formula

Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]

Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]

Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]

Where [tex]\pi=3.14[/tex]

Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]

Answer:

112 m

Step-by-step explanation:

The area (A) of a square is

A = s² ( s is the length of side )

Here A = 784 , then

s² = 784 ( take the square root of both sides )

s = [tex]\sqrt{784}[/tex] = 28

Then

perimeter = 4s = 4 × 28 = 112 m

Answer:

112m

Step-by-step explanation:

the area of the square is 784m^2 so the square root of 784 would give us the length of the sides(since it's a square the length of each sides are equal). √784 would give 28m. 28 m is the length of each sides..so now the perimeter would be the addition of each sides which in case would be 4 times 28 because it's a square. 4 times 28 gives 112m.

Question :- Find Angle 1 in diagram

Answer:- Exterior angle is equal to sum of two opposite interior Angle

so :- ATQ

[tex]140 = \angle1 + 90 \\ 140 - 90 = \angle1 \\ 50° = \angle1 \: \: ans[/tex]

so your answer is option (C) 50°

Answer:

Width: 160

Length: 80

Step-by-step explanation:

Width = 2x and length = x

X + 0.5x + 2x - 0.4x = 248

3.1x = 248

X = 248/3.1

X = 80

Width = (2)(80) and length = 80

Answer:

B. exponential

Step-by-step explanation:

The graph is clearly decreasing exponentially, shown by the downward curve. Therefore, the answer should be B.