order the following numbers from least (top) to greatest number( bottom) . 0.40 , 0.489 , 0.430 , 0.480

Answers

Answer 1

Answer:

[tex]\Large \boxed{0.40 < 0.430 < 0.480 < 0.489}[/tex]

Step-by-step explanation:

First you have to see the decimal places.

Than the number of digits there is.

So this is how we make it from least to greatest!

Since there is 3 numbers after the decimals in almost all of them...

Than let’s make ‘0.40’ into 3 numbers after the decimal too.

I am sure you have heard that if you add a ‘0’ to a decimal nothing will change right?

So let’s make 0.40 into 3 numbers after the decimal just like the other numbers!

Okay so first let’s add a zero to ‘0.40’... which now this turns into ‘0.400’

Now it will be more easier to compare least to greatest!

0.400 is the least, than comes 0.430, & than would be 0.480, & finally the greatest would be 0.489

Therefore the answer is 0.40 < 0.430 < 0.480 < 0.489.


Related Questions

The data show the number of hours of television watched per day by a sample of people. Use technology to answer parts​ (a) and​ (b) below. a. Find the data​ set's first,​ second, and third quartiles. nothing nothing nothing ​(Type integers or decimals. Do not​ round.) b. Draw a​ box-and-whisker plot that represents the data set. Choose the answer below. Note that different technologies will produce slightly different results. A. 0 3 6 9 A boxplot has a horizontal axis labeled from 0 to 10 in increments of 1. Vertical line segments are drawn at the following plotted points: 0, 1, 6, 7, 9. A box encloses the vertical line segments at 1, 6, and 7 and horizontal line segments extend outward from both sides of the box to vertical line segments at 0 and 9. All values are approximate. B. 0 3 6 9 A boxplot has a horizontal axis labeled from 0 to 10 in increments of 1. Vertical line segments are drawn at the following plotted points: 0, 3, 6, 7, 9. A box encloses the vertical line segments at 3, 6, and 7 and horizontal line segments extend outward from both sides of the box to vertical line segments at 0 and 9. All values are approximate. C. 0 3 6 9

Answers

*see attachment for the data set given

Answer:

[tex] Q_1 = 2.5 [/tex]

[tex] Q_2 = 5.5 [/tex]

[tex] Q_3 = 8 [/tex]

The box plot is shown in the attachment below.

Step-by-step Explanation:

a. To find Q1, Q2 (median), and Q3, first order the data from the least to the largest. We would have:

0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9

Q2 which is also the median, is the middle value that divides the data set into two equal parts. In the data set given, Q2 is the data value between the 14th and 15th data value. The average of the 14th and the 15th data value would give us Q2.

0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, [5,Q2, 6], 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9

They are 5 and 6. Average = [tex] \frac{5+6}{2} = 5.5 [/tex]

Q1 is the middle value of the lower part of the data set from Q2 down to your left.

0, 1, 1,1, 2, 2, [2, Q1, 3,] 4, 5, 5, 5, 5, 5, Q2, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9

Q1 = average of the 7th and 8th value = [tex] \frac{2+3}{2} = 2.5 [/tex]

Q3 = [tex] \frac{8+8}{2} = 8 [/tex]

0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5,Q2, 6, 6, 7, 7, 7, 8, [8, Q3, 8], 8, 9, 9, 9, 9, 9.

1. Brandon has $12. He will eam $8 for every
hour he works. He would like to have $52 at
the end of the day. Let h represent the
number of hours Brandon works.
Equation:
Solve it to find how many hours he needs

Answers

Answer:52-12=$40

1/8*40 = 5 hours.

Step-by-step explanation:

Find the average rate of change of the area of a circle with respect to its radius r as r changes from 3 to each

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the average rate of change of the area of a circle with respect to its radius r as r changes from 3 to each of the following.

(i)    3 to 4

(ii)    3 to 3.5

(iii)    3 to 3.1

(b) Find the instantaneous rate of change when r = 3.  A'(3)

Area of a circle A(r)= πr²

The average rate of change of the area of a circle with respect to its radius

ΔA(r)/Δr = πr₂²-πr₁²/r₂-r₁

ΔA(r)/Δr = π(r₂²-r₁²)/r₂-r₁

i) If the radius changes from 3 to 4

ΔA(r)/Δr = π(r₂²-r₁²)/r₂-r₁

ΔA(r)/Δr = π(4²-3²)/4-3

ΔA(r)/Δr = π(16-9)/1

ΔA(r)/Δr = 7π

Hence, average rate of the area of a circle when the radius changes from 3 to 4 is 7π

ii) If the radius changes from 3 to 3.1

ΔA(r)/Δr = π(r₂²-r₁²)/r₂-r₁

ΔA(r)/Δr = π(3.5²-3²)/3.5-3

ΔA(r)/Δr = π(12.25-9)/0.5

ΔA(r)/Δr = 3.25π/0.5

ΔA(r)/Δr = 6.5π

Hence, average rate of the area of a circle when the radius changes from 3 to 3.5 is 6.5π

iii) If the radius changes from 3 to 3.1

ΔA(r)/Δr = π(r₂²-r₁²)/r₂-r₁

ΔA(r)/Δr = π(3.1²-3²)/3.1-3

ΔA(r)/Δr = π(9.61-9)/0.1

ΔA(r)/Δr = 0.61π/0.1

ΔA(r)/Δr = 6.1π

Hence, average rate of the area of a circle when the radius changes from 3 to 3.1 is 6.1π

iv) Instantaneous rate of change A'(r) = 2πr

When r = 3;

A'(3) = 2π(3)

A'(3) = 6π

Hence, the instantaneous rate of change when r = 3 is 6π

Answer:A number decreased by 4 is the same as 12.5

Step-by-step explanation:

Quadrilateral $ABCD$ has right angles at $B$ and $D$, and $AC=3$. If $ABCD$ has two sides with distinct integer lengths, then what is the area of $ABCD$? Express your answer in the simplest radical form.

Answers

Answer:

[tex]\sqrt{2}+\sqrt{5}[/tex]

Step-by-step explanation:

Since there are 2 diagonal angles that are 90 degrees, we can figure out the shape is made of 2 right triangles, so we can use the Pythagorean theorem to find out the length of each side.

The problem said that there must be 2 distinct sides with integer lengths, but there are no 2 integers that satisfy [tex]x^2+y^2 = 3^2[/tex] so we can deduce that both right triangles contain 1 integer value side and 1 non-integer value side.

There are only 2 positive integer values that would fit in [tex]x^2+y^2 = 3^2[/tex] for x: 1 and 2. That means the 2 triangles' equation is:

[tex]1^2+\sqrt{8}^2 = 3^2[/tex] and [tex]2^2 + \sqrt{5}^2 = 3^2[/tex].

Now, since these are right triangles, their areas are just going to be their 2 legs multiplied by 1/2.

The first triangle's area is:

[tex]1\cdot\sqrt{8}\cdot1/2 = 1\cdot2\sqrt{2}\cdot1/2 = \sqrt{2}[/tex]

The second triangle's area is:

[tex]2\cdot\sqrt{5}\cdot1/2 = \sqrt{5}[/tex]

The total area of the quadrilateral would be the sum of the 2 triangles, which is just [tex]\sqrt{2}+\sqrt{5}[/tex].

I hope this helped you.

The total area of the quadrilateral ABCD is [tex](\sqrt{2}+ \sqrt{5} )[/tex] and this can be determined by using the formula of the area of the triangle.

Given :

Quadrilateral ABCD has right angles at B and D, and AC=3. ABCD has two sides with distinct integer lengths.

The following steps can be used in order to determine the area of ABCD:

Step 1 - Let the length of the segment AD be 'x' and the length of the segment CD be 'y'.

Step 2 - Now, apply the Pythagorean theorem on the triangle ACD.

[tex]x^2+y^2= 3^2[/tex]

Step 3 - According to the given data, ABCD has two sides with distinct integer lengths. So, there are two possibilities:

[tex]1^2+(\sqrt{8} )^2= 3^2[/tex]

[tex](2)^2+(\sqrt{5} )^2=3^2[/tex]

So, the possible sides of the quadrilateral will be [tex]\rm 1, \;2,\; 2\sqrt{2},\;and \;\sqrt{5}[/tex].

Step 4 - So, the area of the triangle ABC is:

[tex]A=\dfrac{1}{2}\times \sqrt{8} \times 1\\A = \sqrt{2}[/tex]

Step 5 - Now, the area of the triangle ACD is:

[tex]A'=\dfrac{1}{2}\times \sqrt{5} \times 2\\A' = \sqrt{5}[/tex]

Step 6 - So, the total area of the quadrilateral ABCD is:

[tex]{\rm Area } = \sqrt{2} + \sqrt{5}[/tex]

The total area of the quadrilateral ABCD is [tex](\sqrt{2}+ \sqrt{5} )[/tex].

For more information, refer to the link given below:

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What is the first step to solving this equation? -5c + 6 = -4

Answers

Answer:

subtract 6 from both sides.

-5c = -10

then divide both sides by -5 (negative divided by a negative is a positive)

c = 2

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

The given equation is : -5c + 6 = -4

The first step olis to take (+6) in right side,

[tex] - 5c = - 4 - 6[/tex]

now, another step is add ( -4 and -6)

[tex] - 5c = - 10[/tex]

Now, divide -10 by -5.

[tex]c = \frac{ - 10}{ - 5} [/tex]

Therefore, c= 2.

Hope it helps..

The following data shows the number of laps run by each participant in a marathon. 46 65 55 43 51 48 57 30 43 49 32 56Which of these choices display the correct stemplot?A. 3 0 2 4 3 6 8 9 4 1 3 5 6 7 6 5B. 3 0 2 4 3 3 6 8 9 5 1 5 6 7 6 5

Answers

Answer:

The Stem plot is displayed below.

Step-by-step explanation:

A Stem Plot is a chart for demonstrating the distribution of numeric variables .

It is used to analyze the shape of the distribution.

The data provided is as follows:

S = {46, 65, 55, 43, 51, 48, 57, 30, 43, 49, 32, 56}

The Stem plot is displayed as follows:

3 | 0  2

4 | 3  3  6  8  9

5 | 1  5  6  7

6 | 5

33505 divide 160 in fraction

Answers

Answer: The answer is 209.40625

The fractional equivalent of 33505 divided by 160 is 6701/32 .

Given,

33505/160

Now,

To get the fractional equivalent of 33505/160,

Divide numerator and denominator by the common factor .

So divide numerator and denominator by 5.

33505/5 = 6701

160/5 = 32

Now the simplified fraction is 6701/32.

Know more about fractions,

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answer the following Question

Answers

Answer:

a)$15.95

b) 8kg

Step-by-step explanation:

a)Approach this question by finding how much does it cost for 1g

So,

$2.1/50=$0.042per gram

then, multiple 380 to get the cost of sweets for 380 g

$0.042/gram*380gram=$15.96(Note: the gram cancel out each other)

Which is $15.95 as the question requested

b)This question stated that 3/4 of the metal has 15 kg

So, in order to find the total mass of metal we invert the 3/4 fraction

e.g 4/3*15=20kg

now we have the total mass we can find the mass for 2/5 of the metal

2/5*20kg=8kg

At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 520 ml. The filling process follows a normal distribution with a known process standard deviation of 4 ml.
(a) The normal distribution should be used for the sample mean because:________.
1. the sample population has a large mean.
2. the population distribution is known to be normal.
3. the population standard deviation is known.
4. the standard deviation is very small.
(b) Set up hypotheses and a two-tailed decision rule for the correct mean using the 5 percent level of significance.
The hypothesis for a two-tailed decision is:_______.
1.. H0: μ ≠520, H1: μ = 520, reject if z < −1.96 or z > 1.96
2. H0: μ ≠520, H1: μ = 520, reject if z > 1.96 or z < −1.96
3. H0: μ = 520, H1: μ ≠ 520, reject if z > 1.96 or z < −1.96
4. H0: μ =520, H1: μ ≠ 520, reject if z > −1.96 or z < 1.96

Answers

Answer:

A) Population standard deviation is known.

B) Option 3

H0: μ =520,

H1: μ ≠ 520

z > 1.96 or z < -1.96

Step-by-step explanation:

A) The normal distribution should be used for the sample mean because the population standard deviation is known. Usually, when the standard deviation is unknown we don't use normal distribution except there is an underlying normal approximation.

B) Null Hypothesis:H0: μ =520,

Alternative hypothesis H1: μ ≠ 520

At 5% level of significance, from standard tables, we will reject H0 if;

The test statistic; z > 1.96 or z < -1.96

Calculate the mean deviation by median (by using the mid-point(x) of leaf weights. b) A fair die is rolled. Find the probability of getting an odd number or a prime number or both?

Answers

Answer:

hello attached below is the required table that is missing and the completed table as well

A) mean deviation = 0.1645

B) 2/3

Step-by-step explanation:

From the table we calculated the midpoint value (x) and c.f

N = 27

median class = 2.35 to 2.45

median = l + [ (N/2) - cf / F ] * H

             = 2.35  + [ (13.5 - 13) / 6 ] *0.1 = 2.3583

hence mean deviation by median

= summation of  fi |xi -M| / summation of fi

= 4.4417 / 27 = 0.1645

B ) probability of getting an odd number or prime number or both

the probability of an odd number = 1/2

also the probability of an even number = 1/2

while the probability of getting neither of them = 1/3

hence the probability of getting odd or prime or both

= 1/2 + 1/2 - 1/3 = 2/3

what is 3 feet, 3 feet, and 5 feet. What the total length?

Answers

Answer:

45 ft cubed

Step-by-step explanation:

3*3*5 is 9*5 which is 45 feet cubed.

45 is the answer to your question

Where does the graph of the line 3x – 4y = 12 intersect the y-axis?
A. (4,0)
B. (-4, 0)
C. (0, 3)
D. (0, -3)

Answers

The answer is D-(0,-3)

Answer

[0,-3] should be the right answer

The line should intersect at y axis i.e x=0

Then put the value of x as zero in the equation to find the value of y.

3*0-4y=12

-4y=12

y=12/-4=-3

y=-3 ..

HOPE THIS HELPS YOU

There are 9 classes of 25 students each 4 teachers in two times as many chaperones as teachers each bus hold a total of 45 people what is the least number of busses needed for the field trip​

Answers

Answer:

Least number of bus require for trip = 5 buses (Approx)

Step-by-step explanation:

Given:

Total number of classes = 9

Number of student in each class = 25

Number of teacher = 4

Number of chaperones = Double of teacher

Bus hold = 45 people

Find:

Least number of bus require for trip

Computation:

Total number of student = 9 × 25

Total number of student = 225

Number of chaperones = 4 × 2

Number of chaperones = 8

Total people = 225 + 8 + 4

Total people = 237

Least number of bus require for trip = Total people / Bus hold

Least number of bus require for trip = 237 / 45

Least number of bus require for trip = 5.266

Least number of bus require for trip = 5 buses (Approx)

Answer:

Least number of bus require for trip = 5 buses

Step-by-step explanation:

x^2+6x-6=10 what’s the solution?

Answers

Answer:

-8,2

Step-by-step explanation:

Factoring:

(x+8)(x-2)

x is -8 or 2

Answer:

-8 and 2

Step-by-step explanation:

option 2 or b

Derivative Function.. Could you solve this, please?

Answers

Hello, please consider the following.

f is differentiable so g is differentiable and we we can compute the derivative of g.

[tex]\text{derivative of } u^2\text{ is } 2uu'\\\\\text{derivative of } f(f(x^3)+x)\text{ is } (3x^2f'(x^3)+1)f'(f(x^3)+x)\\\\\text{So, }\\\\g'(x)=2f(f(x^3)+x)(3x^2f'(x^3)+1)f'(f(x^3)+x)\\\\\text{ We replace x par 1}\\\\g'(1)=2f(f(1)+1)(3f'(1)+1)f'(f(1)+1)\\\\g'(1)=2f(2)(3f'(1)+1)f'(2)\\\\\text{ We can put f'(2) in one part of the equation}\\\\f'(2)=\dfrac{2f(2)(3f'(1)+1)}{g'(1)}=\dfrac{2*5*(3*(-3)+1)}{2}\\\\=5*(-9+1)\\\\=5*(-8)\\\\=\boxed{-40}[/tex]

Thank you.

Angle Pairs Introduction
1. A shirt is priced $24.99. and is on sale for 20% off and subject to 5% sales tax.
final cost of the shirt?
I​

Answers

Answer:

  $20.99

Step-by-step explanation:

The sale causes the original price to be multiplied by 1 - 20% = 80%. The tax causes the sale price to be multiplied by 1 + 5% = 105%. The net effect is that the original price is multiplied by the product of these values:

  final cost = $24.99(0.80)(1.05) = $20.99

what percent of 6.2 is 14

Answers

Answer:

0.87

Step-by-step explanation:

12/5x - 2x = 3/10
solve for x
And show steps plz

Answers

Answer:

x=3/4

Step-by-step explanation:

First, we must combine like terms and find the common denominator (which is 5):

12/5x-2x

12/5x-10/5x=2/5x

Then, we cross multiply

[tex]\frac{2x}{5} =\frac{3}{10}[/tex]= 2x(10)=(3)(5)=20x=15

Then, we divide by 20 to get x:

x=15/20

and finally, we simplify the fraction

x=3/4

s=πrl+πr2 solve for l.

Answers

Answer:

[tex]l = \frac{s - π {r}^{2} }{πr} [/tex]

Step-by-step explanation:

s = πrl + πr²

First move πr² to the left side of the equation

We have

πrl = s - πr²

Divide both sides by πr to make l stand alone

That's

[tex] \frac{\pi \:rl}{\pi \: r} = \frac{s - \pi \: {r}^{2} }{\pi \: r} [/tex]

We have the final answer as

[tex]l = \frac{s - π {r}^{2} }{πr} [/tex]

Hope this helps you

Let Ebe the set of all even positive integers in the universe Zof integers, and XE : Z R be the characteristic function of E.
Then
1. XE(2) =
2. XP(-2) =
3. {z 62: XE() = 1} =

Answers

Answer:

[tex]\mathbf{X_E (2) = 1}[/tex]

[tex]\mathbf{X_E (-2) = 0 }[/tex]  

[tex]\mathbf{\{ x \in Z: X_E(x) = 1\} = E}[/tex]

Step-by-step explanation:

Let E be the set of all even positive integers in the universe Z of integers,

i.e

E = {2,4,6,8,10 ....∞}

[tex]X_E : Z \to R[/tex] be the characteristic function of E.

[tex]X_E(x) = \left \{ {{1 \ if \ x \ \ is \ an \ element \ of \ E} \atop {0 \ if \ x \ \ is \ not \ an \ element \ of \ E}} \right.[/tex]

For XE(2)

[tex]\mathbf{X_E (2) = 1}[/tex]  since x is an element of E (i.e the set of all even numbers)

For XE(-2)

[tex]\mathbf{X_E (-2) = 0 }[/tex]   since  - 2 is less than 0 , and -2 is not an element of E

For { x ∈ Z: XE(x) = 1}

This can be read as:

x which is and element of Z such that X is also an element of x which is equal to 1.

[tex]\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\ \mathbf{\{ x \in Z: X_E(x) = 1\} = E}[/tex]

E = {2,4,6,8,10 ....∞}

Use the method of Lagrange Multipliers to find any maximum or minimum values of the function f(x,y)=x2+y2 subject to the constraint xy=1.

Answers

Answer:

possible maximum and minimum values : f (1,1),  f (-1,-1)

Step-by-step explanation:

Given function :

f(x,y) = x^2 + y^2

constraint = xy = 1

attached below is the detailed solution of the method of using Lagrange method of Multipliers  to find the maximum and minimum values of the function

If a 1000-count bottle of omeprazole 40 mg capsules costs the pharmacy $42.88, what is the estimated cost per capsule, rounded
to the nearest penny?

Answers

Answer:

Estimated cost per capsule = 4.288 (penny)

Step-by-step explanation:

Given:

Cost of 1000 capsule = $42.88

Number of capsules = 1000

Find:

Estimated cost per capsule

Computation:

1 dollar = 100 penny

So,

$42.88 = 4288 penny

Estimated cost per capsule = 4288 / 1000

Estimated cost per capsule = 4.288 (penny)

What is construction​

Answers

Answer:

Consrution is the steps of building buildings or town.

Step-by-step explanation:

CONSTRUCTION IS THE ACT OF MAKING 《OR》BUILDING SOMETHING.......

HOPE IT HELP.......


64. Determine whether the statement is true or false: The product of a rational and irrational number is
always irrational

Answers

Answer: TRUE

Step-by-step explanation:

you can't never change an irrational number into rational number

2 × √3 = 2√3 ⇔ still an irrational number

Answer:

False

Step-by-step explanation:

 The product of two irrational number 2 is irrational. False. Counterexample: (√2) ∙ (−√2) = 2. (c) The sum of a rational number and an irrational number is irrational.

A Ferris wheel completes 4 revolutions in 10 minutes. The radius of the Ferris wheel is 40 feet.
What is the linear velocity of the Ferris wheel in inches per second?
Enter your answer, rounded to the nearest tenth, in the box.

Answers

Answer:

5.0in/sec

Step-by-step explanation:

[tex]Circumference = 2\pi r\\\\2 \pi \times 40 ft = 80\pi ft = 253.3274123 ft\\\\= 253.3274123 ft \times 12 \: \frac{inches }{feet} \\\\ = 3015.928947 in\\\\\\10 min = 10 min \times 60 \: sec / min = 600 sec\\\\4 \: revolutions / 10 min = 4 \times 3015.928947\: in / 600 sec \\\\ = 5.0 in/sec[/tex]

The linear velocity of the Ferris wheel is 20.1 inches per secnod.

What is the angular velocity of a rotating body?

Suppose the body revolves θ angle in t time then the angular velocity of the body is

ω= θ/t

What is the linear velocity of a rotating body?

Suppose the rotating body covers 's' distance in 't' which is actually 'rθ' distance in 't' time because, s=rθ.

Then the linear velocity of the rotating body is

v=s/t=r(θ/t)=r ω

i.e. v=r ω.

How to solve the problem?

The speed of the Ferris wheel is given by 4 revs in 10 minutes. That means 4(2π) radians in 10 minutes.

Hence, the angular velocity of the Ferris Wheel is

ω= 8π/(10×60) rad/s= π/(75) rad/s

Hence, the linear velocity of the Ferris Wheel is

v=r ω= 40 Feet ( π/(75) rad/s)

= (12×40π)/(75) inch/s

= 20.1062 inch/s

≈20.1 inch/s (rounded to the nearest tenth)

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1. Type your answer below. 2. Type your answer below (no spaces! for example x=19) 3. Type your answer below (no spaces! for example x=19) Need help with all three answers please quick

Answers

Answer:

1) 12

2) c=-25

3) x = -16 2/3

Step-by-step explanation:

1) ..........................

6*(4-10+8) =6*(- 6+8) =6*2= 12

2) ..........................

34 + 2c = -162c = - 16 -342c = -50c = -50/2c=-25

3) ..........................

40 = -3x - 1040+ 10 = -3x-3x = 50x = 50/-3x=-16 2/3

The derivative of the trigonometric function. Please help me.

Answers

[tex]y=\dfrac{sin(x^2)}{x^3}[/tex]

Apply the quotient rule:

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{x^3\frac{\mathrm d\sin(x^2)}{\mathrm dx}-\sin(x^2)\frac{\mathrm dx^3}{\mathrm dx}}{(x^3)^2}[/tex]

Chain and power rules:

[tex]\dfrac{\mathrm d\sin(x^2)}{\mathrm dx}=\cos(x^2)\dfrac{\mathrm dx^2}{\mathrm dx}=2x\cos(x^2)[/tex]

Power rule:

[tex]\dfrac{\mathrm dx^3}{\mathrm dx}=3x^2[/tex]

Putting everything together, we have

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{x^3(2x\cos(x^2))-\sin(x^2)(2x\cos(x^2))}{(x^3)^2}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x^3\cos(x^2)-2x\sin(x^2)\cos(x^2)}{x^6}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x^2\cos(x^2)-\sin(2x^2)}{x^5}[/tex]

When [tex]x=\sqrt{\frac\pi2}[/tex], we have

[tex]\cos\left(\left(\sqrt{\dfrac\pi2}\right)^2\right)=\cos\left(\dfrac\pi2\right)=0[/tex]

[tex]\sin\left(2\left(\sqrt{\dfrac\pi2}\right)^2\right)=\sin(\pi)=0[/tex]

so the derivative is 0.

How is the following decimal written using bar notation? 3.126666666666...

Answers

Answer:

[tex]3.126666666666...=3.12\overline{6}[/tex]

Step-by-step explanation:

If the decimal number is repeating, then bar notation is used. A symbol called "bar" is used to express that type of numbers. it is placed at the top of the number that is repeating.

We have a number i.e. 3.126666666666...

We need express it in bar notation.

In this problem, 6 is repeating. It means "bar" is placed over 6.

So,

[tex]3.126666666666...=3.12\overline{6}[/tex]

It is the bar notation of 3.126666666666...

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Alyssa’s extended family is staying at the lake house this weekend for a family reunion. She is in charge of making homemade pancakes for the entire group. The pancake mix requires 2 cups of flour for every 10 pancakes. •Use the value of the ratio to fill in the following two multiplicative comparison statements. 1. The number of pancakes made is ________ times the amount of cups of flour needed. 2. The amount of cups of flour needed is ________ of the number of pancakes made. Question 1 options: Blank # 1 _____ Blank # 2_____

Answers

Answer:

1. 5 times

2. 1/5

Step-by-step explanation:

I can explain later if you want, but you seem like you're in a rush so I'll do it later :)

What could be the rule ?

Answers

Answer:

Divide by 3

Step-by-step explanation:

Answer:

Sub. 10

Step-by-step explanation: input is 15 and output is 5, So i would say 15-10= 5 I would think the rule is Subtract 10, im Guessing not for sure tho! :D
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