Find the volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant

The asked consecutive even integers are -4,-2,0,2

Consecutive integers are whole numbers that follow each other without gaps. For example, 15, 16, 17 are consecutive integers.

Given that, what are four consecutive even integers if the first integer is −4

We know that, Consecutive even integers are even integers that follow each other, and they differ by 2. If x is an even integer, then x + 2, x + 4 and x + 6 are consecutive even integers.

Therefore, here x = -4,

-4+2 = -2

-4+4 = 0

-4+6 = 2

Hence, the asked consecutive even integers are -4,-2,0,2

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Answer:

Step-by-step explanation:

1/16=64^4x-3

1/4^2=(4^3)^4x-3

4^-2=(4^3)^4x-3

4^-2=4^3*(4x-3)

Since the bases are equal (to 4), the exponents must be equal to each other.

-2=3*(4x-3)

-2=12x-9

-2+9=12x

7=12x

7/12=x

x=7/12

So the answer is x=7/12

a) The portion of the garden is made up of beef steak tomatoes is 8.

b) he Equation for beef steak tomatoes is 4/5 x (portion of tomatoes).

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Portion of Garden have Tomatoes = 2/3

and, 4/5 of the tomato plants are beefsteak tomatoes.

a) The total section in model is 15.

so, Tomatoes in the garden = 2/3 x 15

                                               = 10

and, the portion of the garden is made up of beef steak tomatoes

= 10 x 4/5

= 8 portion.

b) The Equation for beef steak tomatoes

= 4/5 x (portion of tomatoes)

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I think the answer is 5.

Sorry if it's wrong.

Answer:

5

Step-by-step explanation:

This question is based on vector

By applying its formula

AC = AB + BC

we were given AC as 14 and BC as 9 so let find AB

AC = AB + BC

14 = AB + 9

AB = 14 – 9

AB = 5

i hope this helped

Work Shown:

a = old price = 5000

b = new price = 2800

c = change in price

c = b-a

c = 2800-5000

c = -2200

The value of c is negative to indicate a price decrease.

d = percent change

d = (c/a)*100%

d = (-2200/5000)*100%

d = -44%

There is a 44% decrease or discount.

Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:

number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)

This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11

10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22

So, there are estimated to be 10 ^ 22 stars in the known universe.

Step-by-step explanation:

The action which would be better is the latter since it provides a higher average return in the span of 5 years.

This is referred to as the concept of increasing a firm's worth to increase the value of stockholders' shares and it is usually considered a long-term goal.

In this scenario, the action which involves the stock price rising from Rs. 1600 to Rs. 3000 provides a higher average return in the span of 5 years which is a long-term goal since it is assumed that shareholders invest in a company to meet their long-term financial goal and the corporate actions which have these general tendencies is lending to people and organizations at a proposed interest rate.

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Answer:

3750

I wish you luck in your assignments.

The coordinates of the vertices of the square with height x is given as follows:

A square is a figure for which all the four side lengths are congruent, that is, they have the same measure.

The side length of the square in this problem is given as follows:

x.

As the height is equals to the base.

The vertex J represents the origin, hence it has coordinates given as follows:

J(0,0).

Then the remaining coordinates of the square are given as follows:

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Answer:

True, 50 tens times hundreds equal 40 tens times 5 hundreds

Step-by-step explanation:

50 tens times 4 hundreds equals to 40 ten times 5

hundreds because if you multiply 50 by 4 hundreds

you'll get 20,000 and if you multiply 40 tens by

hundred it will still give you 20,000

Therefore:

50 × 400 = 40 × 500

20,000 = 20,000

Answer:

Step-by-step explanation:

a.we konw DC=2b and DO=OC, so the coordinate of D(-b, 0), C(b, 0)

b.we konw the height of rectangle is h, so the coordinate of A(-b, h), B(b, h).

Answer:

y - 1 = 3/2 (x + 10)

Step-by-step explanation:

Point-slope form of the equation of a line is a fill-in-the-blank shortcut to write an equation. If you know a point and the slope of a line you can fill in that info and voila! you have the equation.

Here is Point-slope equation:

y - Y = m(x - X)

Because the point given (-10,1) is in the form (X,Y), fill in -10 for X and 1 for Y.

The slope given is 3/2, fill that in for m.

y - Y = m(x - X)

y - 1 = 3/2 (x - -10)

y - 1 = 3/2 (x + 10)

The equation is

y - 1 = 3/2 (x + 10)

Answer:

-3w2-11w-3

Step-by-step explanation:

take w2 and w as variables. you can substitute it as w2=y and w=X then expand brackets

2y-8x-8-5y-3x+5

note that the signed changed at the second part because it was expanded with the minus sign which is basically like -1, so it changes the signs

then you collect like terms:

2y-5y-8x-3x-8+5= -3y-11x-3

now put substitute back w2=y and w=X

-3w2-11w-3

if it won't be a problem solving with w2 and w, then you skip the substitution part and solve the same

The table is filled as described , shown below.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Rate per hour is $11.25

Number of regular hours is 40

Payment for regular hours:

time multiply with payment=

40*$11.25 = $450

Again, we have,

Rate per overtime hour:

$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)

Number of overtime hours:

48.5 - 40 = 8.5

Payment for overtime hours:

$16.88*8.5 = $143.48

Now, we get ,

Gross payment is the sum of regular and overtime payments:

$450 + $143.48 = $593.48

Hence, he would get $593.48

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A) Total mass of 3500 books is 2,800 kilograms.

B) The average mass of one apple is 130 grams.

A) To find the total mass of 3500 books, each with a mass of 800 grams, we can multiply the number of books by the mass of each book:

Total mass = (3500 books) * (800 grams/book)

= 2,800,000 grams

= 2,800 kilograms

Therefore, the Total mass of 3500 books is 2,800 kilograms.

B) To find the average mass of one apple, we can divide the total mass of the apples by the number of apples:

Average mass = (1.04 tonnes) / (8000 apples)

= 130 grams/apple

Therefore, the average mass of one apple is 130 grams.

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25 coins represent 25 percent of Jocelyn's collection.

A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals. The symbol "%" is frequently written after the number to indicate percentages.

given, Jocelyn has a collection of 100 coins.

100% of her collection represents = 100 coins

1 %  of her collection represents = 100/100 coins

1%  of her collection represents = 1 coin

thus,

25%  of her collection represents = 1*25 coins

25%  of her collection represents = 25 coins

therefore, 25 percent of the collection of Jocelyn represents 25 coins.

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The image of the point (3, 3) after a translation 4 units right and one unit down is (7, 2)

Transformation involves moving an object from its original position to a new position on the coordinate plane. This can be a translation, dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane. Translation is a rigid transformation that preserves the shape and size. Other types of rigid transformation are reflection, and rotation

The translation using the rule (x, y) ⇒ (x + 4, y -1) is a translation 4 units right and 1 unit down.

The image of the point (3, 3) using the rule (x, y) ⇒ (x + 4, y -1) is (7, 2)

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Answer: We can set up a system of equations to represent this problem. The first equation represents the total value of the nickels and dimes in terms of the number of nickels and dimes that Nevaeh has:

0.05x + 0.1y = 0.80

The second equation represents the total number of nickels and dimes that Nevaeh has in terms of the number of nickels and dimes that she has:

x + y = 11

To graphically solve this system of equations, we can use the slope-intercept form of the linear equations.

y = -2x + 22

y = -1/2 x + 8

The solution would be the point where the lines intersect , which x = 4, and y = 7 .

So she has 4 nickels, and 7 dimes.

Step-by-step explanation:

Answer:

300 milligrams are in aa cup of milk.

Step-by-step explanation:

.25 x 1200 = 300

The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The equation of the line that passes through (-3, 1) and (2, -2) is given as,

(y + 2) = [(- 2 - 1) / (2 + 3)](x - 2)

y + 2 = - (3/5)x + 6/5

y = -(3/5)x - 4/5

The equation of the line that passes through (2, -2) and (4, 3) is given as,

(y + 2) = [(3 + 2) / (4 - 2)](x - 2)

y + 2 = (5/2)x - 5

y = (5/2)x - 7

The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.

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Answer:

54

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

Length of fence = Circumference of the pool – width of the gate. Length of fence = 6.28x – 150 cm.

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The prices of the drum that will reach over $6500 are between $3 and $8

And the inequality expression is (50 + 4x) (120 - 5x) > 6500

From the question, we have the following parameters that can be used in our computation:

Number of models = 50

Initial price = $120

Also from the question, we have:

So, we have

Models = 50 + 4x

Price = 120 - 5x

This means that the revenue function is

R(x) = (50 + 4x) *  (120 - 5x)

When the price reaches over $6500, we have

(50 + 4x) *  (120 - 5x) > 6500

Using a graphing calculator, we have

2.911 <x < 8.5

Approximate

3 ≤ x ≤ 8

Hence, the model reaches $6500 between 3 and 8

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On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

here

principal, p = 2200

rate, r = 2%

time, t = 4 rs,

so SI = P X R X T/100

SI -

[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]

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Therefore , the solution to the given problem of order comes out to be

-6< -3< -2.2 < -1/2 < 1/4 < 2[tex]\frac{1}{3}[/tex] < 2.5 < 4.

Numerical order can be used to organise a set of numbers. It is possible to use both increasing and decreasing ordering. Consider how a set of numbers would seem if they were organized in ascending order like 2, 55, 103, 256, and 802, for example. This can make sorting through a huge collection of numbers much easier.

Here,

Given : 2.5, -6, -3, 4, -2.2, 1/4, -1/2, 2 1/3

To put them according to ascending order :

So ,

negative terms are the smallest compare to positive terms as their values are lower than 0.

thus,

-6< -3< -2.2 < -1/2 < 1/4 < 2[tex]\frac{1}{3}[/tex] < 2.5 < 4

Therefore , the solution to the given problem of order comes out to be

-6< -3< -2.2 < -1/2 < 1/4 < 2[tex]\frac{1}{3}[/tex] < 2.5 < 4.

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Answer:

Mean - 6.2  Median - 7  Mode - 9

Step-by-step explanation:

You can find the mean by adding all the given numbers and dividing them by how many numbers you added.

The median is the middle value of the set of numbers, order them from least to greatest and find the middle value.

Mode is the number that occurs the most.

The area of garden will be 81 feet².

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each side of the garden = 9 feet

We know that;

⇒ Area of square = Side²

Here, Each side of the garden = 9 feet

Hence, The area of garden = 9²

                                           = 81 feet²

Thus, The area of garden = 81 feet²

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Answer:

  y = x² -6x +12

Step-by-step explanation:

You want the quadratic equation Y=(x-3)^2+3 written in standard form.

Depending on where you go to school, the given equation may already be in standard form.

Other places, standard form means the equation is simplified and terms are written in order of decreasing degree.

  y = (x -3)² +3 = (x² -6x +9) +3

  y = x² -6x +12

Answer:

75%

Step-by-step explanation:

To find the percent of change that Target marks the shoes up for, you need to calculate the difference between the cost of the shoes to Target and the price at which they sell it to the public, and then divide that difference by the cost of the shoes to Target. Finally, you need to multiply the result by 100 to express the answer as a percentage.

Using this formula, the percent of change that Target marks the shoes up for is:

(35 - 20) / 20 * 100 = 15 / 20 * 100 = 0.75 * 100 = 75%

This means that Target marks the shoes up by 75% of their cost.

Answer:

very long question

Step-by-step explanation: