peng fills a beach ball which is in the shape of a sphere with air. the diameter of the beach ball is 30 cm. how many cubic centimeters of air are needed to feel the beach ball? use 3.14 for pi.

The equation for the area in standard form is A(x) = 2x² + 4x + 4 and the equation containing a single, squared binomial expression is 2 (x + 1)² + 2.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given a diagram.

Area of individual part of the diagram is given.

We have to find the total area.

Total area = (x² + x²) + (x + x + x + x) + (1 + 1 + 1 + 1)

                 = 2x² + 4x + 4, which is the equation in standard form.

Now, 2x² + 4x + 4 = 2 (x² + 2x + 2)

                             = 2 (x² + 2x + 1 + 1)

                             = 2 (x² + 2x + 1) + 2

                             = 2 (x + 1)² + 2, which is the equation containing a single, squared binomial expression.

Hence the equation in both forms can be written as 2x² + 4x + 4 and  2 (x + 1)² + 2.

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Answer:

The 2nd choice ( the one that starts with square root of 5 )

Step-by-step explanation:

I turned all of the choices into decimals so they had the same playing field then I put them from least to greatest and I got square root of five, 5/2, 2.717171717171, 2 and 3/4.

The coefficient of correlation in this situation is 0.65.

The coefficient of determination (R-squared) is the square of the coefficient of correlation (r). Therefore, to find the coefficient of correlation in this situation, we need to take the square root of the coefficient of determination.

In this case, the coefficient of determination is 0.4225. Taking the square root of 0.4225 gives us the coefficient of correlation:

Coefficient of correlation (r) = √0.4225

The coefficient of correlation in this situation is 0.65.

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Answer:

the answer is i dont know

Step-by-step explanation:

just pretend that this is answer

Answer: Cost to distributer $3.38

Cost to retailer $4.73

Step-by-step explanation: First find 35 percent of $2.50

2.50 x 0.35 = 0.875 this is 35% of 2.50

Then add this amount to 2.50

2.50 + 0.875 = 3.375 or $3.38

Then to find the cost to the retailer repeat this process with 40%

3.38 x 0.40 = 1.352

1.352 + 3.38. = 4.732 or $4.73

Answer:

I think it is B

hope this helps

Answer:

[8,30]

Step-by-step explanation:

Domain means X. So you look for the smallest X value in your data and the largest X value in your data.

Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

To form a third-degree polynomial function with real coefficients such that the complex number 6 + i and the real number 7 are zeros, we can use the fact that complex zeros come in conjugate pairs.

Given that 6 + i is a zero, its conjugate 6 - i will also be a zero. Thus, the zeros of the polynomial are 6 + i, 6 - i, and 7.

To find the polynomial function, we start by forming the factors corresponding to each zero:

(x - (6 + i))   --> This corresponds to the zero 6 + i

(x - (6 - i))   --> This corresponds to the zero 6 - i

(x - 7)        --> This corresponds to the zero 7

To simplify the factors, we multiply them out:

(x - (6 + i))(x - (6 - i))(x - 7)

= ((x - 6) - i)((x - 6) + i)(x - 7)

= ((x - 6)² - i²)(x - 7)

= ((x - 6)² + 1)(x - 7)

Expanding the squared term:

= (x² - 12x + 36 + 1)(x - 7)

= (x² - 12x + 37)(x - 7)

Therefore, the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

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Answer:

y=30

x=3

Step-by-step explanation:

~may it help you~

The solution is, : y = 1/3x+6, is the equation of a line that is perpendicular to the line y= -3x+2 and passes through the point (6,8).

We know that,

y = -3x+2 is in slope intercept form  y = mx+b  where m is the slope and b is the y intercept

The slope is -3

Perpendicular lines have slopes that are negative reciprocals

The slope of the perpendicular line is  -1/-3 = 1/3

The equation of the new line is

y = 1/3x +b

Using the point that passes through the line ( 6,8) and substituting in for x and y

8 = 1/3(6) +b

8 = 2+b

8-2 =b

6 =b

The equation becomes

y = 1/3x+6.

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Answer:

x = 18

Step-by-step explanation:

The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is

\(\frac{80}{80+2x}\) = \(\frac{60}{60+27}\) = \(\frac{60}{87}\) ( cross- multiply )

60(80 + 2x) = 6960 ← divide both sides by 60

80 + 2x = 116 ( subtract 80 from both sides )

2x = 36 ( divide both sides by 2 )

x = 18

Answer:

The value of a is 15.

Step-by-step explanation:

First, you have to find the total interior angles of the polygon using the formula, sum = (n-2)×180°, where n represents the number of sides :

sum = (n-2)×180°

sum = (5-2)×180°

sum = 540°

Given that the sum of the interior angle is 540° so in order to find the value of a, you have to add up all the angles in terms of a :

3a + 150 + 8a + 6a + 9a = 540

26a + 150 = 540

26a = 390

a = 390 ÷ 26

a = 15

Answer:

True

Step-by-step explanation:

Answer:

A: $5.46

Step-by-step explanation:

28% of $19.50 is $5.46

As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .

The initial price of the car is set at P = 18300 (units)

The price after lowering drom P becomes A= 16000 (units)

Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.

The formula for calculating percentage change is given as follows,

Change in percentage = [(Change in value)/ ( Initial value) ]*100

⇒Change in percentage = (C/ P)*100

⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)

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Venn diagram:

The percentage of students that studied mathematics = 25%
The percentage of students that studied electronics = 20%
The percentage of students that studied Communications = 55%
The percentage of students that studied both electronics and Communications subjects = 10%

P(studied Communications or electronics or both subjects)
= P(studied Communications) + P(studied electronics) - P(studied both electronics and Communications subjects)
= 55% + 20% - 10%
= 65%

Therefore, the probability that a student studied Communications or electronics or both subjects is 65%.

P(studied mathematics and Communications subjects)
= P(studied mathematics) × P(studied Communications)
= 25% × 55%
= 13.75%

Therefore, the probability that a student studied mathematics and Communications subjects is 13.75%.

Drawing a Venn diagram, we have 25% studying Mathematics (M), 20% studying Electronics (E), and 55% studying Communications (C).10% studied both Electronics and Communications.

Therefore, the percentages become as follows: M = 25% - 10% = 15% E = 20% - 10% = 10% C = 55%.

Part 2 - To obtain the probability that a student studied Communications or Electronics or both subjects

P(Communication or Electronics) = P(Communication) + P(Electronics) - P(Communication and Electronics) = 55% + 20% - 10% = 65%.

The probability that a student studied Communications or Electronics or both subjects is 65%.

Part 3 -To obtain the probability that a student studied Mathematics and Communications subjects,

P(Mathematics and Communications) = P(Mathematics) * P(Communications) = 25% * 55% = 13.75%.

The probability that a student studied Mathematics and Communications subjects is 13.75%.

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Answer:

67

Explanation:

Let us assume that Anna sells x number of pre-sale tickets and y number of at-the-door tickets.

Since, total capacity of the venue is 400, so we can write x + y = 400 ...... (1)

Now, given that each pre-sale ticket costs $10 and each at-the-door ticket costs $25, and the total funds she needs to raise is $5000

So, we can write 10x + 25y = 5000, ⇒ x + 2.5y = 500 .... (2)

Now, solving equations (1) and (2) we get,  

(2.5 - 1)y = 500 - 400 = 100

⇒ 1.5y = 100

⇒ y = 66.67

Hence, from equation (1) we get, x = 400 - 66.67 = 333.33

Since Y can't be a fraction and it can not be < 66.67 (Otherwise the goal of $5000 can not be achieved)

So, the minimum number of at-the-door ticket she needs to sell to make her goal is 67.

The minimum number of pre-sale tickets she needs to sell to make her goal are 333.

Given is that Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $25. The venue has the capacity to hold 400 people.

We can write the equations representing the given situation as -

10x + 25y = 5000    ....... Eq{1}

x + y = 400               ....... Eq{2}

where [x] represents the number of people who bought the pre-sale tickets for $10 and [y] represents the number of peoples who bought at-the-door tickets.

So, we can write -

x = (400 - y)

So, we can write -

10(400 - y) + 25y = 5000

4000 - 10y + 25y = 5000

15y = 5000 - 4000

15y = 1000

y = 66.67

So, we get -

x = 400 - 66.67

x = 333.34

x = 333 {approx.}

Therefore, the minimum number of pre-sale tickets she needs to sell to make her goal are 333.

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Answer:

x-9cm

Step-by-step explanation:

compute

The constant of integration C1 and C2 represent arbitrary constants that can be combined into a single constant C. Therefore, the final result is:

I = x^2 - (4/5)x^(5/2) + C

To evaluate the integral ∫2(x - x^(3/2))dx, we can use the power rule of integration.

Using the power rule, the integral of xn with respect to x is (1/(n+1))x^(n+1) + C, where C is the constant of integration.

Let's apply the power rule to the given integral:

I = ∫2(x - x^(3/2))dx

= ∫2x dx - ∫2x^(3/2) dx

For the first term, integrating 2x with respect to x gives:

∫2x dx = 2∫x dx = 2 * (1/2)x^2 + C1 = x2 + C1

For the second term, integrating 2x^(3/2) with respect to x gives:

∫2x^(3/2) dx = 2 * (2/5)x^(5/2) + C2 = (4/5)x^(5/2) + C2

Combining the results, we have:

I = x^2 + C1 - (4/5)x^(5/2) + C2

The constant of integration C1 and C2 represent arbitrary constants that can be combined into a single constant C. Therefore, the final result is:

I = x^2 - (4/5)x^(5/2) + C

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Answer:

about 24.38 feet

Step-by-step explanation:

Graphing window: [0, 30] by [-20, 160]

y1 = 20 + 2x + √(400 + 4x^2)

y2 = 1.6(20 + x + √(400 + x^2))

y1 = y2 when x = 24.3798.

So the length of the smaller garden's longer leg is about 24.38 feet.

Answer:

15

Step-by-step explanation:

7e (7×6) = 42

42 - 9 = 33

3e (3×6) = 18

33 - 18 = 15

Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.

However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.

So the list goes as

1. Exponents

2. Roots

3. Multiplication

4. Division

5. additional

6. Subtraction

However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.

Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.

Furthermore, the preferred behavior norm for division and multiplication is different.

Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.

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Answer:

she needs to work 8 hours a day.

Step-by-step explanation:

8 hours for $8 is 64, add the $20 bonus makes $80 and some change

Answer: \(x=5\sqrt{\frac{22}{7\pi}}\)

Step-by-step explanation:

\(2\pi (x^2 +2x^2)=471 \frac{3}{7}\\\\3x^2 =\frac{1650}{7\pi}\\\\x^2 =\frac{1650}{21\pi}\\\\x=\sqrt{\frac{1650}{21\pi}}\\\\x=5\sqrt{\frac{22}{7\pi}}\)

Answer:

its A correct me if im wrong in the comments

Answer:

-4n-5=0 n=-5/4

Step-by-step explanation:

Answer:

-4n-5

Step-by-step explanation:

have a good day and also for question like this use (mathpapa)