Which is bigger 0.01 or 0.009999999999999

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

(a) 9800π cm²/s

(b) 39200π cm²/s

(c) 58800π cm²/s

Step-by-step explanation:

As we know,

The area of circle is:

\(A= \pi r^2\)

\(\frac{dA}{dt}=2 \pi r\frac{dr}{dt}\)

The given value is:

\(\frac{dr}{dt} =70 \ cm/s\)

Now,

(a)

After 1 second,

r = 70×1

 = 70 cm

⇒  \(\frac{dA}{dt}=2\pi(70)\times (70)\)

          \(=9800 \pi \ cm^2/s\)

(b)

After 2 second,

r = 70×4

 = 280 cm

⇒  \(\frac{dA}{dt}=2\pi \ (280)\times (70)\)

          \(39200\pi \ cm^2/s\)

(c)

After 6 seconds,

r = 70×6

 = 420 cm

⇒  \(\frac{dA}{dt}=2\pi \ (420)\times (70)\)

          \(58800\pi \ cm^2/s\)

The rate will be:

(a) 9800 π cm²/s

(b) 39200 π cm²/s

(c) 58800 π cm²/s

A circle seems to be a closed object or structure generated by tracing a point that travels together in plane at quite a constant distances from either a specific location.

According to the question,

Speed, \(\frac{dr}{dt}\) = 70 cm/s

We know,

The area of circle:

→ A = πr²

  \(\frac{dA}{dt}\) = 2πr\(\frac{dr}{dt}\)

(a) After 1 s, the rate be:

r = 70 × 1

  = 70 cm

\(\frac{dA}{dt}\) = 2π(70) × 70

    = 9800 π cm²/s

(b) After 2 s, the rate be:

r = 70 × 4

 = 280 cm

\(\frac{dA}{dt}\) = 2π(280) × 70

    = 39200 π cm²/s

(c) After 6 s, the rate be:

r = 70 × 6

  = 420 cm

\(\frac{dA}{dt}\) = 2π(420) × 70

    = 58800 π cm²/s

Thus the response above is correct.

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Answer:

425

Step-by-step explanation:

The number of dogs at the park that weighed over 50 pounds will be 332 dogs.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

85% of the dogs at a park weighed over 50 pounds. If there were 400 dogs at the park. Then the number of dogs at the park that weighed over 50 pounds will be given as,

⇒ 85% of 400

⇒ 0.85 x 400

⇒ 332 dogs

The number of dogs at the park that weighed over 50 pounds will be 332 dogs.

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The equation with nontrivial linear combination is (16)4x + ( -48 )2x²+ (-8 )(8x-12x²) = 0

We can solve this problem following some steps.

Let's assume the value is A for blank one and it is B for blank two.

Now we can rewrite the equation as,

(16)4x + (A) 2x²+ (B)(8x-12x²) = 0

Or, 64x + 2Ax² + 8Bx - 12Bx² = 0

After rearrangement, we can write this equation as,

x ( 64 + 8B) + x²( 2A - 12B) = 0

We can consider the whole equation as zero, only when the coefficient of both x and x² is zero, To complete a nontrivial combination, we have to write,

∴ ( 64 + 8B) = 0 [ Coefficient of x ]

Or , 8B = -64

Or, B = -64/8 = -8

Again following the previous concept we can also write, ( 2A - 12B ) = 0

[ Coefficient of x² ]

Now, we should put the value of B = -8

∵ ( 2A - 12B ) = 0

Or, 2A + 96 = 0

Or, 2A = - 96

Or, A = - 48

So, the value of A is -48, and the value of B is -8

Now we can conclude,

(16)4x + ( -48 )2x²+ ( -8 )(8x-12x²) = 0

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Answer:

Step-by-step explanation:

(99)3 =

(99) x 3 =

(90 + 9) x 3 =

(90) x 3 + (9) x 3 =

90 x 3 + 9 x 3 =

270 + 27 =

297

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Evaluate (99)^3 using suitable identities.

(99)^3 = (100 - 1)^3

since, (a - b)^2 = a^3 - b^3 - 3ab (a-b)

Where,

Now,

(99)^3

=> (100)^3 - (1)^3 - 3(100)(1)(100 - 1)

=> 1000000 - 1 - 3(100)(100 - 1)

=> 1000000 - 1 - 300 (99)

=> 1000000 - 1 - 29700

=> 970299 Ans.

Answer:

We conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

Step-by-step explanation:

We know that the domain of a function is the set of inputs or argument values for which the function is defined.

From the given graph, it is cleared that the function g starts from the x-value x = -7 and ends at x = 4.

It means the function is defined for the set of input values from x = -7 to x = 5 for which the function is defined.

Therefore, we conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

area = 121 pi  = pi r^2      Divide both sides by pi

            121 = r^2

               r= 11

Answer:

247

Step-by-step explanation:

7 + 8(32-2)

Parentheses first

7 + 8(30)

Then multiply

7+240

Then add

247

Answer:

247

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

7 + 8(32 - 2)

Step 2: Evaluate

Answer:

xDbdjajjfjeqjsufuirueiiqd

Answer:

b

Step-by-step explanation:

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

9514 1404 393

Answer:

  8 and 8

Step-by-step explanation:

The magnitude of a number is the positive distance it is from the origin. The number 8 is 8 units from the origin (in the + direction). The number -8 is also 8 units from the origin (in the - direction).

Both 8 and -8 have a magnitude of 8 units.

Answer:

180 degrees

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180 degrees.

Answer: 1 3\5

explanation :  since the denominator of both fractions are same we can go ahead and the numerators which will make the fraction 16\10 or 8/5 (simplified) and  to make this a mixed numeral 5 fits into 8 once with 3 leftover thus making 1 3/5.

hope this helps .

Step-by-step explanation:

substitute 2 into x

1. (u ○ w)(2)

u(w(x))

= 4(-5x+1)+2

= 4(-5.2+1)+2

= 4(-9)+2

=-34

2. (w ○ u)(2)

w(u(x))

= -5(4x+2)+1

= -5(4.2+2)+1

= -5(10)+1

= -49

The translation form of each shape is given as follows:

a) X to Z: (x, y) -> (x + 5, y + 2).

b) Z to X: (x, y) -> (x - 5, y - 2).

The four translation rules are defined as follows:

For the composition of translations, we add the coordinates, hence:

Hence the rule from X to Z is given as follows:

(x, y) -> (x + 5, y + 2).

From Z to X, we have the inverse rule, hence:

(x, y) -> (x - 5, y - 2).

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Answer:

First let 'A' stand for area.

So, there's 3 areas so we write it like this:

A1: 14 ft × 3ft = 42 ft

A2: (14 ft - 2 ft) × 2 ft = 24 ft

A3: 8 ft × 3 ft = 24 ft

So when you add all of them = 90 ft

Have a wonderful day! :-)

The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.

To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.

According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.

Note: This question is incomplete because there is some information missing. Here is the complete information:

image attached

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Answer:

135º

Step-by-step explanation:

Total parts

5 + 8 + 12 + 15 = 40

Value of each part; 360º in a quadrilateral

360 / 40 = 9

Largest angle

15 * 9 = 135º

Answer:

2:1:1

Step-by-step explanation:

A:B:C

10:1:5

÷5. ÷5

=2:1:1

The coordinates of point A are ( 5/4, -3/4)

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

x - coordinate = 5 grid lines to the right of the y-axis

y - coordinate =   3 grid lines below the x-axis.

The point A is in the 4th quadrant

(x,y) = ( + 5 grid lines, -3  grid lines )

There are increments I have one over four for each grid line on each of the two axes

This means,

(x,y) = ( + 5 * 1/4, -3*1/4 ) = ( 5/4, -3/4)

So,  the coordinates of point A are ( 5/4, -3/4)

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Answer: \(\$\ 204.4\)

Step-by-step explanation:

Given

The total length of the trip is \(l=1940\ \text{miles}\)

Car average is 28 miles per gallon

So, car requires

\(\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}\)

Price of gas is $2.95 per gallons

\(\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4\)

So, the cost of the trip is \(\$\ 204.4\)

Answer:

3422 x232

Step-by-step explanation:

Answer:1 black 4 white

Step-by-step explanation:

It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3

So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3

Step-by-step explanation:

X component  = 4.5 - 2.1  =   2.4

Y component  = 7.8 - 2.1  =    5.7

Find magnitude using Pythagorean theorem

  m^2 = 2.4^2 + 5.7^2

    magnitude  = 6.18    units

Remember for a right triangle   tangent Φ = opposite leg / adjacent leg

    angle = arctan ( 5.7 / 2.4 )   = 67.2 degrees

The range of the function in the graph is  6≤e≤12. So correct option is A.

In mathematics, range is a term used to refer to the set of all possible output values of a function. It is the set of values that the function can take as its input varies over its entire domain. In other words, the range of a function is the set of all output values that can be obtained by evaluating the function for all possible input values.

For example, consider the function f(x) = x². The domain of this function is all real numbers, but the range is only non-negative real numbers, since x² is always non-negative for any real number x.

The range of a function can be determined by analyzing its graph, which is a visual representation of the function. The range corresponds to the set of all y-values that appear on the graph. For instance, the range of the function f(x) = sin(x) is the closed interval [-1, 1], since the sine function oscillates between -1 and 1 as its input varies over all real numbers.

Sometimes, it is useful to restrict the domain of a function in order to obtain a specific range. This process is called domain restriction or range selection. For example, the inverse function of f(x) = x² can be obtained by restricting the domain of f to non-negative real numbers, which ensures that the inverse function is also a function. The resulting function is f^-1(x) = √x, whose domain is non-negative real numbers and range is the same as the domain of f.

The range of the function in the graph is  6≤e≤12. So correct option is A.

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Answer:

A) 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-1/2, -8)

Point (-1/2, -2)

Step 2: Find distance d

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip