please help me in math​

Please Help Me In Math

Answers

Answer 1

Answer:

4x/3

Step-by-step explanation:

Let the area of initial square is x, then shaded squares will have area as geometric sequence:

x/4, x/16, x/64, ...

The first term is x, the common ratio is 1/4

Sum of infinite GP is:

S = a/(1 - r)

By substituting values we get:

S = x/(1 - 1/4) = x / (3/4) = 4x/3

Related Questions

2067 Supp Q.No. 2a Find the sum of all the natural numbers between 1 and 100 which are divisible by 5. Ans: 1050 ​

Answers

5

Answer:

1050

Step-by-step explanation:

Natural Numbers are positive whole numbers. They aren't negative, decimals, fractions. We can just divide 5 into 100 to find how many natural numbers go up to 100 and just add them but that is just to much.

There is a easier method.

E.g: Natural Numbers that are divisible by a Nth Number. is the same as adding the Nth Numbers to a multiple of that Nth Term. For example, let say we need to find numbers divisible by 2. We know that 4 is divisible by 2 because 4/2=2. We can add the Nth numbers which is 2 to 4. 4+2=6. And 6 is divisible by 2 because 6/2=3. We can call this a arithmetic series. A series which has a pattern of adding a common difference

Back to the problem, we can use the sum of arithmetic series formula,

[tex]y = x( \frac{z {}^{1} + {z}^{n} }{2} )[/tex]

Where x is the number of terms in our sequence. Z1 is the fist term of our series. ZN is our last term. And y is the sum of all of the terms

The first term is 5, the numbers of terms being added is 20 because 100/5=20. The last term is 100.

[tex]y = 20( \frac{5 + 100}{2} )[/tex]

[tex]y = 20( \frac{105}{2} )[/tex]

[tex]y = 1050[/tex]

A+ Series - Core Mathematics THEORY QUESTIONS Question 1 (SSSCE 2000 Ou 12a) Four angles of a hexagon are 130°, 160°, 112° and 80°. If the remaining angles are equal, find the size of each of them ​

Answers

To solve this question, we have to understand the sum of all angles of a polygon, identify the polygon and doing this, we get that the size of each of the angles are: 119º.

Sum of angles:

The sum of angles of a polygon of n sides is given by:

[tex]S_n = 180(n-2)[/tex]

Hexagon:

6 sides, thus [tex]n = 6[/tex], and:

[tex]S_n = 180(6-2) = 180*4 = 720[/tex]

Angles:

Four are 130°, 160°, 112° and 80°, the other two are equal, so both are x. Then:

[tex]130 + 160 + 112 + 80 + x + x = 720[/tex]

[tex]482 + 2x = 720[/tex]

[tex]2x = 238[/tex]

[tex]x = \frac{238}{2}[/tex]

[tex]x = 119[/tex]

Thus, the size of each of them is of 119º.

For more of the angles of a polygon, you can check https://brainly.com/question/19023938

6 + 7* log base 2 of x = 21

Answers

6 + 7* log base 2 of x = 21

Answer:

Step-by-step explanation:

A large cable company reports that 42% of its customers subscribe to its Internet service, 32% subscribe to its phone service and 23% subscribe to both its Internet service and phone service.
a) What is the probability that a randomly selected customer subscribes to the Internet service or the phone service?
b) What percent of customers subscribe to neither the Internet service nor the phone service?

Answers

9514 1404 393

Answer:

  a) 51%

  b) 49%

Step-by-step explanation:

a) P(A∪B) = P(A) +P(B) - P(A∩B)

  P(A∪B) = 42% +32% -23% = 74% -23% = 51%

51% subscribe to one or the other.

__

b) P(¬A∩¬B) = P(¬(A∪B)) = 1 -P(A∪B) = 1 -51% = 49%

49% of customers subscribe to neither service.

Simplify expression 1 1/2

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Hey there!

[tex]\huge\boxed{\mathsf{1\dfrac{1}{2}}}}\\\huge\boxed{\mathsf{\rightarrow \dfrac{1\times1+2}{2}}}\\\\\\\huge\boxed{{1\times1+2}}\\\huge\boxed{= 1+2}\\\huge\boxed{=3}\\\\\\\huge\boxed{\rightarrow \mathsf{\dfrac{3}{2}}}\\\\\\\huge\boxed{\textsf{Answer: }\bf \dfrac{3}{2}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

A patient consumes 2,000 calories of which 1200 calories were from carbohydrates. What percent of calories were from carbohydrates? Round the answer to the nearest integer.

Answers

Answer:

60%

Step-by-step explanation:

1200/2000=.6 or 60%

60%of calories were from carbohydrates.

What is percentage?

a relative value that represents one tenth of any amount. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified. percentage. Percentile in mathematics is a related topic.

Given

1200/2000=.6 or 60%

Hence, 60%of calories were from carbohydrates.

To learn more about percentage refer to:

https://brainly.com/question/843074

#SPJ2

The average fish at a fishing tournament was 12.4 pounds. Some of the weight last of the fish are shown on the table:


What was the weight of the heaviest fish?

Answers

Answer:

15.5kg

Step-by-step explanation:

12.4kg × 5 = 62kg,

= 62kg - (14.6kg + 11.4kg + 10.3kg + 10.2kg)

= 62kg - 46.5kg

= 15.5kg

Which of the following conversions is possible?
Meters to Liters
Feet to Miles
Pounds to Inches
Grams to Centimeters

Answers

Answer:

Feet to Miles

Step-by-step explanation:

Answer:

Feet to Miles

Step-by-step explanation:

Both units must measure the same quantity.

Find the value of x round to the nearest tenth.

Answers

9514 1404 393

Answer:

  117.9°

Step-by-step explanation:

Solving the Law of Cosines equation for C, we get ...

  C = arccos((a² +b² -c²)/(2ab))

Filling in the values from the figure, we find the angle X to be ...

  X = arccos((y² +z² -x²)/(2yz)) = arccos((55² +50² -90²)/(2·55·50))

  X = arccos(-2575/5500) ≈ 117.9°

what is the value of tan 0 in the unit circle below? (square root3/2,1/2)

Answers

Answer:

√3/3

Step-by-step explanation:

To obtain Tan θ ;

From trigonometry, tan θ = sin θ / cosθ

Given the paired value : (√3/2, 1/2)

The (cosine, sine ) pair ;

Tan θ = sin (1/2) / cos (√3/2)

Tan θ = (1/2 ÷ √3 / 2) = 1 / 2 * 2 / √3 = 2 / 2√3 = 1 / √3

Tan θ = 1 / √3

Rationlaizing the denominator :

1/√3 * √3/ √3 = √3/√9 = √3/3

Find the center and radius of the circle. Write the standard form of the equation.
(1,6) (10,6)

Answers

Answer:

Centre, ((1+10)/2,(6+6)/2)

or, (11/2,12/6)

or, (5.5,6)

Radius,

[√{(10-1)²+(6-6)²}]/2

= (√81)/2

= 9/2 = 4.5

(x-11/2)²+(y-6)²=20.25

Find the value of x.
A. 86
B. 172
C. 94
D. 188

Answers

Answer:

188

Step-by-step explanation:

Tangent Chord Angle = 1/2Intercepted Arc

94 = 1/2 x

Multiply by 2

2*94 =x

188 =x

Help me please! thanks

Answers

9514 1404 393

Answer:

  5. (a) Polygon Angle-Sum Theorem

  6. (c) 360°

Step-by-step explanation:

5. The sum of the angles is shown as 540°. The theorem that tells you the sum of angles in an n-gon is the "polygon angle sum theorem."

__

6. The sum of exterior angles around any (convex) polygon is 360°. (This is where the angle-sum theorem comes from.)

Rules for multiplying exponents

Answers

Answer and Step-by-step explanation:

When multiplying exponents:

- Product of Powers: When the base of the exponents are the same, and the bases are being multiplied to each other, the exponents are added together.

Example: [tex]a^x + a^y = a^{x+y}[/tex]

- Different bases Same Exponents: When the bases of the exponents are different, but the exponents are the same, the bases multiply together (within a parenthesis) with the exponent on the parenthesis.

Example: [tex]a^x*b^x = (a*b)^x[/tex]

- Quotient of Powers: When the base of the exponents are the same, and they are being divided by each other, the exponents will subtract from each other.

Example: [tex]\frac{a^x}{a^y}= a^{x-y}[/tex]

- Power of a Power: When a base has an exponent, and that entire term has and exponent, the exponents multiply together.

Example: [tex](a^x)^y = a^{x*y}[/tex]

- Power of a Product: The opposite of Different bases Same Exponents. Distribute the exponent onto the different bases.

Example: [tex](ab)^x = a^x*b^x[/tex]

- Power of a Quotient: The opposite of Quotient of Powers. Distribute the exponent to the dividing bases.

Example: [tex](\frac{a}{b} )^x = \frac{a^x}{b^x}[/tex]

- Zero Power: Any number raised to the 0 power equals 1.

Example: [tex]a^0 = 1\\999999^0=1[/tex]

- Negative Exponent: Any number raised by a negative number goes to the denominator of a fraction (if not already in the denominator), and vise versa (goes to the numerator if not already in the numerator).

Example: [tex]a^-2 = \frac{1}{a^2} \\\\\frac{1}{b^-3} = b^3[/tex]

- Power of One: Any number raised to the power of 1 is the same number.

Example: [tex]a^1 = a\\\\999^1 = 999[/tex]

I hope this helps!

#teamtrees #PAW (Plant And Water)

How many
Assume that the mean hecaht of soldiers is 166cm
with a standard deration of 8. cm.
soldeers in a regiment of 1000 would you expect to
be over 177 cm tall.

Answers

Answer:

85

Step-by-step explanation:

Given that :

Mean height , μ = 166

Standard deviation, σ = 8

Sample size, n = 1000

Using the Zscore formula :

Zscore = (x - μ) / σ

x = 177

Z = (177 - 166) / 8

Z = 1.375

P(Z > 1.375) = 0.084566(Area to the right of Z)

P(Z > 1.375) * n

0.084566 * 1000 = 84.566 = 85 soldiers

Please help me to find this answer

Answers

Answer:

Look in Step by Step Explanation

Step-by-step explanation:

3)SOHCAHTOA

tan=opposite/adjacent

tan(20)=x/83

83tan(20)=x

x=30.209

2) SOHCAHTOA

Tangent=opposite/adjacent

Tan(62)=x/8

8tan(62)=x

x=15.04

3)SOHCAHTOA

Sin=opposite/hypotonouse

sin(25)=30/x

x=30/sin(25)

x=70.986

Question 24 of 58
Four classmates collect data by conducting a poll. They
ask students chosen at random how many books they
have to read for English class.
• Kevin interviews 25 students.
• Mary interviews 92 students.
• Sydney interviews 24 students.
• Caleb interviews 31 students.
Whose results are probably the most trustworthy?
O A. Mary's
OB. Sydney's
C. Kevin's
D. Caleb's
SUBMIT

Answers

Answer: Mary

Mary is more trustworthy because she interviews more students, therefore has a more accurate range of answers.

Write as an algebraic expression: *20% of 75% of y

Answers

Answer:

0.15y

Step-by-step explanation:

0.2*0.75*y = 0.15y

If f:X is 3x + b and ff(2) = 12, find the value of b​

Answers

Answer:

[tex]b =6[/tex]

Step-by-step explanation:

Given

[tex]f(x) =3x + b[/tex]

[tex]f(2) = 12[/tex]

Required

Find b

[tex]f(2) = 12[/tex] implies that:

[tex]12 = 3 * 2 + b[/tex]

[tex]12 = 6 + b[/tex]

Collect like terms

[tex]b = 12 - 6[/tex]

[tex]b =6[/tex]

A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th
percentile. Round your answer to two decimal places.
N
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123
0.7157
0.7190
0.7224
0.6 0.7257
0.7291
0.7324
0.7357
0.7389 0.7422
0.7454
0.7486
0.7517
0.7549
0.7 0.7580
0.7611
0.76420.7673
0.7704
0.7734
0.7764
0.7794
0.7823
0.7852
0.8
0.7881
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133

Answers

I am sorry, I am so confused
I wish I could help

Solve for x.
Sqrt8 (Sqrt2 - x) = 11

Answers

Answer:[tex]\frac{-7\sqrt{2} }{4}[/tex]

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get [tex]\sqrt{16}-x\sqrt{8} =11[/tex]. We know that the square root of 16 is ±4, so now our equation is ±4 - [tex]x\sqrt{8}[/tex]=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - [tex]x\sqrt{8}[/tex]=11. We can use inverse operations to make the a little easier to solve: -7= [tex]x\sqrt{8}[/tex]. We divide both sides by [tex]\sqrt{8}[/tex] to get [tex]\frac{-7}{\sqrt{8} } =x[/tex], which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by [tex]\frac{\sqrt{8} }{\sqrt{8} }[/tex] (which is equal to one so we can use it) which is equal to [tex]\frac{-7\sqrt{8} }{8}[/tex]. Let's finish this by simplifying it. [tex]\sqrt{8} =2\sqrt{2}[/tex] (2x[tex]2^{2}[/tex]). We can simplify it further by simplifying the 2, making it [tex]\frac{-7\sqrt{2} }{4}[/tex].

Hope this wasn't too confusing! I'll answer any questions.

Answer:

x = -7 sqrt(2)/4

Step-by-step explanation:

Sqrt8 (Sqrt2 - x) = 11

Simplify sqrt(8) = sqrt(4*2) = 2 sqrt(2)

2 sqrt(2) (Sqrt2 - x) = 11

Distribute

2 *2 - 2 sqrt(2) x = 11

4 - 2 sqrt(2)x = 11

Subtract 4 from each side

4-2sqrt(2)x -4 = 11-4

-2 sqrt(2)x = 7

Divide each side by -2 sqrt(2)

-2 sqrt(2)x /-2 sqrt(2) = 7/ -2 sqrt(2)

x = - 7/ 2 sqrt(2)

Multiply top and bottom by sqrt(2)

x = - 7/ 2 sqrt(2)  * sqrt(2)/ sqrt(2)

x = -7 sqrt(2)/4

what is a cell and why it is necessary​

Answers

CELL

Cells are the basic building blocks of living things. The human body is composed of trillions of cells, all with their own specialised function. Cells are the basic structures of all living organisms.

IMPORTANCE

Cells provide structure for the body, take in nutrients from food and carry out important functions.

I HOPE THIS WILL HELP YOU IF NOT THEN SORRY

HAVE A GREAT DAY :)

One month Kaitlin rented 2 movies and 5 video games for total of $34. The next month she rented 8 movies and 3 video games for total of $51. Find the rental cost of each movie and each video game.

Answers

Answer:

A movie is $4.50 and a video game is $5

Step-by-step explanation:

Create a system of equations where m is the cost of each movie and v is the cost of each video game:

2m + 5v = 34

8m + 3v = 51

Solve by elimination by multiplying the top equation by -4:

-8m - 20v = -136

8m + 3v = 51

Add these together and solve for v:

-17v = -85

v = 5

So, a video game is $5. Plug in 5 as v into one of the equations, and solve for m:

2m + 5v = 34

2m + 5(5) = 34

2m + 25 = 34

2m = 9

m = 4.5

A movie is $4.50 and a video game is $5

For this problem I thought the answer would be 1.3 for part C since it said to find the mean. However, I am wrong. Can someone help me with the problem please? Thank you for your help!

Answers

Answer:

Step-by-step explanation:

the mean is

{(12x1)+(13x1)+(14x2)+(15x2)+(17)+(18)+(19x2)+(20)+(21x2)+(22)+(24)}/11

mean=264/11

mean=24

we make a sequence of figures with tiles. The first four figures have 1,4,7 and 10 tiles, respectively. How many tiles will the 15th figure have?

Answers

Answer:

43

Step-by-step explanation:

1 , 4 , 7 , 10

→ Find the difference between each term

4 - 1 = 3, 7 - 4 = 3 and 10 - 7 = 3

→ Put this into the nth term format

3n + x

→ Write the 3 times tables above the sequence and find what you need to take away from the times tables to get to the sequence

3 , 6 , 9 , 12

1 , 4 , 7 , 10

→ Minus 2

3n - 2

→ Substitute 15 as n

3 × 15 - 2 = 43

How far apart are the 2 cities? See picture.
Show steps

Answers

9514 1404 393

Answer:

  373 miles

Step-by-step explanation:

The difference in latitude is ...

  39.1° -33.7° = 5.4° = 0.54°(π/180°) radians = 0.03π radians

The arc length is given by ...

  s = rθ, where θ is the angle in radians

The length of the arc along the longitude line is ...

  s = (3960 mi)(0.03π) ≈ 373 mi

The distance from Atlanta to Cincinnati is about 373 miles.

Solve 3(5x + 7) = 9x + 39.
O A. X=-3
B. X= -10
O c. x = 10
O D. x= 3

Answers

Answer:

x=3

Step-by-step explanation:

3(5x + 7) = 9x + 39

15x + 21 = 9x + 39

15x - 9x = 39 - 21

6x = 18

x = 3

Can someone help me ASAP!!!?

Answers

Answer:

√x-x-2x³+√x+x

= 2√x-2x³

= -2x³+2√x

which is option A

mJWL=87 degrees. Find the value of x.

Answers

JWL = JWI + IWL

87 = (2x + 24) + (3x - 12)

87 = 5x + 12

5x = 75

x = 15

Hope this helps!

The value of the variable x will be 15. Then the correct option is A.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

The measure of the angle ∠JWL will be 87°.

The angle ∠JWI and angle ∠IWL will be the linear angle.

Then the sum of the angle ∠JWI and angle ∠IWL is equal to the angle ∠JWI.

          ∠JWI + ∠IWL = 87°

(2x + 24) + (3x – 12) = 87

                    5x + 12 = 87

                           5x = 87 – 12

                           5x = 75

                             x = 75 / 5

                             x = 15

Thus, the value of the variable x will be 15.

Then the correct option is A.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ5

Use the matrix tool to solve the system of equations choose the correct ordered pair -5x+6y=-3 6x-6y=12

Answers

Answer:

Hello,

x=9

y=7

Step-by-step explanation:

[tex]A*U=B\\\\\begin{bmatrix}-5&6\\6&6\\\end{bmatrix}*\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-3\\12 \end{bmatrix}\\\\\\A^{-1}=\begin{bmatrix}1&1\\1&\dfrac{5}{6}\\\end{bmatrix}\\\\\\A^{-1}*A*U=A^{-1}*B\\\\U=\begin{bmatrix}9\\7 \end{bmatrix}\\[/tex]

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