Rewrite the following series using sigma
notation: 27 + 22 + 17 + 12 +7+2

The answer is 2.

In the graph, the cost per two stems is 10 $.

The number of rolls of paper used per wall will be 1.5 rolls per wall.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Andy is hanging wallpaper in his kitchen. He is to cover 2 2/5 of the walls in the room using 6 rolls of paper. We know that the room has 4 walls.

Then the number of rolls of paper used per wall is given as,

⇒ 6 / 4

⇒ 1.5 rolls per wall

The number of rolls of paper used per wall will be 1.5 rolls per wall.

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Answer:

b or a

Step-by-step explanation:

The equation that represents the total cost, y, to a customer based on the number of hours, x, it takes to build the website is y = 200 + 5x

A web designer charges a $200 fee plus $50 per hour to build a website.

Therefore,

y = total cost

x = number of hours

Hence, the equation that represents the total cost, y, to a customer based on the number of hours, x is as follows:

Therefore, the equation that represents the total cost, y, to a customer based on the number of hours, x, it takes to build the website is y = 200 + 5x

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Answer: 12xy - 21x

Step-by-step explanation:

Answer:

5 i think the explanation is at the bottom if i'm right please star

Step-by-step explanation:

3x4-7=5

Answer:

3 mi of fencing would be required to enclose this field.

Step-by-step explanation:

Here we are finding the perimeter of a field with given length and width.  We apply the perimeter formula P = 2L + 2W.  Substituting the given dimensions, we get:

P = 2(1 mi) + 2(0.5 mi), or

P = 2 mi + 1 mi = 3 mi

3 mi of fencing would be required to enclose this field.

Answer:

15840 feet of fencing = Perimeter = 15840ft

However, if fencing is 6ft or 10ft we need to divide by the length of each fence for panels.

See bold.

Step-by-step explanation:

6ft fencing = 5280/6 = 880 fences one length

880 x 2 = 1760 6ft fences 2 sides

0.5 x 1760 = 880

1760+ 880 = 2640 fences each 6ft

Total feet of fence = 2640 x 6 =15840 feet of fencing

Answer: Let X = the smaller of the two consecutive odd integers. Therefore (X + 2) = the larger of the two consecutive odd integers.

The volume of a frustum of a pyramid with given dimensions is 6260 cubic units.

What is frustum of pyramid?

The top of a conventional pyramid is removed to create the frustum, which is a pyramid. It is known as a truncated pyramid for this reason. The height of a pyramid is represented by the letter h and is the distance from its base to its summit. Similar to it, it has two bases and a slant height indicated by the letter "s" (top and bottom).

We are given frustum of a pyramid with square base of side 22, square top of side 13 and height 20.

We know that volume of frustum of pyramid(V) = h(b^2 + a^2 + ab)/3

We are given b = 22, a = 13 and h = 20

From this, we get

⇒V = h(b^2 + a^2 + ab)/3

⇒V = 20(22^2 + 13^2 + 22*13)/3

⇒V = 20(484 + 169 + 286)/3

⇒V = 20(939)/3

⇒V = 20*313

⇒V = 6260 cubic units

Hence, the volume of a frustum of a pyramid with given dimensions is 6260 cubic units.

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Answer:

14

Step-by-step explanation:

35% of 40 is 14

Answer:

I believe the answer is 14

Step-by-step explanation:

35% of 40 is 14

"Of" means multiply so I did 0.35 * 40

Answer: E ( (17)(50)/88 )

Step-by-step explanation:

(Row total * column total) / table total

Answer:

c = 75

Step-by-step explanation:

c = 2c-75

2c - c = 75

c = 75

Answer:

i dont get it

Step-by-step explanation:

Answer:

\(\sf\longmapsto \: x = 6\)

Step-by-step explanation:

\(\sf\longmapsto \: 2x = 14 - 2\)

\(\sf\longmapsto \: 2x = 12\)

\(\sf\longmapsto \: x = \frac{12}{2} \)

\(\sf\longmapsto \: x = 6\)

Answer:

x = 6

Step-by-step explanation:

Hey there,

\(2x =14-2\\2x=12\\\frac{2x}{2}=\frac{12}{2} \\x = 6\)

Hope this helps you.

Let me know if you have any other questions :-)

11/2*3/4+1/78=9/8*5/8

5.5*3/4+1/78=9/8*5/8

16.5/4+1/78=9/8*5/8

4.125+1/78=9/8*5/8

4.125+0.013=9/8*5/8

4.125+0.013=1.125*5/8

4.125+0.013=5.625/8

4.125+0.013=0.703

4.138=0.703

the answer is 4.138=0.703

hope this helps

Answer:

\(x = 1\)

\(y = -2\)

Step-by-step explanation:

Given

\(2x - 3y = 8\)

\(4x + 3y =-2\)

Required

x and y

Add both equations to eliminate y

\(2x + 4x - 3y + 3y = 8 - 2\)

\(6x = 6\)

Divide both sides by 6

\(x = 1\)

Substitute \(x = 1\) in the first equation

\(2x - 3y = 8\)

\(2 * 1 - 3y = 8\)

\(2 - 3y = 8\)

\(-3y = 8 - 2\)

\(-3y = 6\)

Divide by -3

\(y = -2\)

Answer:

Step-by-step explanation:

A Rational number is one that can be expressed as a fraction where the denominator is not zero. The above decimal can be expressed as a fraction in the form : ¹⁸⁶/₁₀₀₀

The decimal is also a terminating decimal which describes a decimal number that has a certain number of digits after the decimal point. In other words, the digits after the decimal point do not go on forever. 0.186 has three digits after the decimal meaning it does not go on forever.

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

Answer:

The correct answer is - 900

Step-by-step explanation:

A palindrome is a positive integer that is same whether read from left to right or from right to left. For example, 123321 palindromes.

An n-digit palindrome is determined from the first  n/2  digits if n is even, and from the first n+1/2 digits if n is odd.

Therefore, if  n  is even, there are  9×10⁽n⁻²/²⁾  palindromes; and if n is odd, there are  9×10⁽n₋²/²⁾ palindromes.  where n is number of digits.

For  n=5 , there are  9×10²=900 palindromes

Answer:

6 x \(10^{1}\) exponential notation

or 60 standard notation

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

The equation would be:

305=85+4x

220= 4x

x= 55

Answer: 4x + 85 = 305

To get your answer you just have to subtract 85 from 305 (I believe) and then divide what you got by four :)

Step-by-step explanation:

Answer:54

4 1/2times 12

Convert 4 1/2 to an improper fraction.

9/2 times 12

Cancel the common factor of 2

9 times 6

Multiply

9 by 6 the you'll get 54

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

The height above the tower to the plane = 13000 - 150 = 12850 ft

The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = \(\frac{opposite}{adjacent}\) = \(\frac{12850}{hor}\) ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = \(\frac{12850}{tan20}\) ≈ 35305 ft ( to the nearest foot )

(2)

Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37  and angle of depression x, then

tanx° = \(\frac{opposite}{adjacent}\) = \(\frac{37}{65}\) , thus

x = \(tan^{-1}\) (\(\frac{37}{65}\) ) ≈ 30° ( to the nearest degree )

Answer:  1) 35,305 ft          2) 60°

Step-by-step explanation:

Note that angle of depression (outside of the triangle) is EQUAL to the angle of elevation (inside the triangle measured from the ground).  See images

\(1)\quad \tan \theta=\dfrac{opposite}{adjacent}\\\\\\.\qquad \tan 20^o=\dfrac{13,000-150}{x}\\\\\\.\qquad \tan 20^o=\dfrac{12,850}{x}\\\\\\.\qquad x=\dfrac{12,850}{\tan 20^o}\\\\\\.\qquad x=\large\boxed{35,305}\)

\(2)\quad \tan \theta=\dfrac{opposite}{adjacent}\\\\\\.\qquad \tan \theta=\dfrac{60+5}{37}\\\\\\.\qquad \tan \theta=\dfrac{65}{37}\\\\\\.\qquad \theta=\tan^{-1}\bigg(\dfrac{65}{37}\bigg)\\\\\\.\qquad \theta=\large\boxed{60^o}\)

Answer:

28

Step-by-step explanation:5 times 4 plus 8 is 28

To completely solve the problem, Karim should convert the product back into standard decimal notation.

We cannot directly apply the product of powers property because the binomial is not raised to a power itself.

(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).

0.0258 × \(10^{-8\)  = 0.0258 × 0.00000001

                         = 0.000000000000258

(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.

In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.

To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.

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Answer:

Quadrant I: (⅓, 2⅓)

Quadrant II: (-1⅓, 3⅓)

Quadrant III: (-3, -10) (-3⅓, -1⅓)

Quadrant IV: (9, -1)

Step-by-step explanation:

If it is (+, +), it is in quadrant I.

If it is (-, +), it is in quadrant II.

If it is (-, -), it is in quadrant III.

If it is (+, -), it is in quadrant IV.

The approximate solution of the linear system represented by the graph is, (5, 6)

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Given that,

A graph in which two lines are intersecting each other,

basically solution of linear system means where both the lines will intersect,

So, in the graph it can be seen that lines are intersecting around x coordinate 5 and y coordinate 6,

Therefore, the solution is (5, 6)

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Answer:

i don't it is correct or not........

Step-by-step explanation:

The Mass of Earth = 5.9742 × 1024 kilograms == == The Earth is (As of May 2000) is thought to be approximately 5.972 sextillion (5,972,000,000,000,000,000,000) metric tons.

A metric ton is a thousand kilograms, or 2,204.62 pounds.

Approximately 6,000,000,000,000,000,000,000,000 (6x1024) kilograms.

Answer:

Mass on water on earth is 29.5×10^20 kg approximately.

Step-by-step explanation:

Mass of earth= 5.9726 × 10^ 24 kg

water's mass is only 5 × 10 -4 percent of the Earth's total mass.

so mass of water = 5.9726×10^24 kg×5×10^-4=29.8603×10^20kg approximately