an airplane is traveling at 400 miles per hour. which equation can be used to find the total distance the plane will travel in h hours.

Answers

Answer 1

Answer:

y=400h

Where y is distance and h is time.


Related Questions

Which answer describes the type of numbers that are dense? whole numbers and integers whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers

Answers


No irrationals are integers. Irrational numbers are by definition *not rational*, and all integers can represented as the rational , and so are rational

Using number sets, it is found that the set of dense numbers is composed by: rational and irrational numbers

---------------

Numbers can be classified as:

Whole numbers: All positive numbers and 0, so: {0,1,2,...} Integer numbers: Positive or negative, not decimal so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339, which can be approximated to the rational 0.1. Real numbers: Rational plus irrational.

---------------

A subset is dense of the rational numbers if all numbers can be approximated to rational numbers, and thus, rational and irrational numbers are dense.

A similar problem is given at https://brainly.com/question/10814303

a. Evaluate the polynomial

y = x3− 5x2 + 6x + 0.55 at x = 1.37.

Use 3-digit arithmetic with chopping. Evaluate the percent relative round-off error.

b. Express y as y = ((x − 5)x + 6)x + 0.55 (this is the same equation). Use again 3-digit arithmetic with chopping. Evaluate the percent relative round-off error and compare with part (a). Make the conclusion about which form of the polynomial is superior.

Answers

The form of the polynomial given in part (a) is superior, as it has a lower percent relative round-off error compared to the form given in part (b).

To evaluate the polynomial [tex]y = x^3 - 5x^2 + 6x + 0.55[/tex]at x = 1.37 using 3-digit arithmetic with chopping, we substitute x = 1.37 into the expression:

[tex]y = (1.37)^3 - 5(1.37)^2 + 6(1.37) + 0.55[/tex]

Calculating each term;

[tex](1.37)^3[/tex]= 2.559

5[tex](1.37)^2[/tex]= 9.415

6(1.37) = 8.22

Substituting these values into the expression for y,

y = 2.559 - 9.415 + 8.22 + 0.55

y = 1.914

Now, let's move on to part (b).

We will express y as y = ((x - 5)x + 6)x + 0.55,

Now using 3-digit arithmetic with chopping.

Then, we substitute x = 1.37 into the expression:

y = ((1.37 - 5) 1.37 + 6) 1.37 + 0.55

Calculating each term separately:

(1.37 - 5) = -3.63

-3.63 x 1.37 = -4.98

-4.98 + 6 = 1.02

1.02 x 1.37 = 1.3974

Finally, adding 0.55:

y = 1.3974 + 0.55

y = 1.9474

Now, let's compare the percent relative round-off errors in both cases.

In part (a), the exact value of y was 1.914, while the approximate value using 3-digit arithmetic with chopping was also 1.914. Therefore, the percent relative round-off error is:

(1.914 - 1.914) / 1.914 x 100 = 0%

In part (b), the exact value of y was 1.914, while the approximate value using 3-digit arithmetic with chopping was 1.9474.

Therefore, the percent relative round-off error is:

(1.9474 - 1.914) / 1.914 x 100 ≈ 1.741%

Therefore, in this comparison, we can conclude that the form of the polynomial given in part (a) is superior, as it has a lower percent relative round-off error compared to the form given in part (b).

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A rectangle length is 5 more than its width. If the premiditer of the rectangle is 66 inches, what is the length of the rectangle

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{19 \: inches}}}}}[/tex]

Step-by-step explanation:

Let the width be 'w'.

Length of a rectangle ( l ) = 5 + w

Perimeter of a rectangle = 66 inches

First, finding the width of a rectangle

[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]

[tex] \dashrightarrow{ \sf{66 = 2(5 + w + w)}}[/tex]

[tex] \dashrightarrow{ \sf{66 = 2(5 + 2w)}}[/tex]

[tex] \dashrightarrow{ \sf{66 = 10 + 4w}}[/tex]

[tex] \dashrightarrow{ \sf{10 + 4w = 66}}[/tex]

[tex] \dashrightarrow{ \sf{4w = 66 - 10}}[/tex]

[tex] \dashrightarrow{ \sf{4w = 56}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{56}{4} }}[/tex]

[tex] \dashrightarrow{ \sf{w = 14 \: inches}}[/tex]

Width of a rectangle ( w ) = 14 inches

Now, Substituting / Replacing the value of w in order to find the length of rectangle

[tex] \sf{length = 5 + w}[/tex]

[tex] \dashrightarrow{ \sf{length = 5 + 14}}[/tex]

[tex] \dashrightarrow{ \sf{19 \: inches}}[/tex]

Length of a rectangle = 19 inches

Hope I helped!!

Best regards! :D

What is the simplified form of the following expression

Answers

The second option is the answer

-13.3°C=_________K °C is Celsius and K is Kelvin

Answers

Answer:

259.85 K

Formula:

-13.3°C + 273.15 = 259.85K

Step by step solution:

To convert, just add 273.15 to the Celcius value to get the Kelvin value.

Hope this helps!

how can simplify 5x-4=6​

Answers

5x -4 = 6 simplified would be x = 2 hope this helps ♡

the sum of 6 and the product of 8 and x" into mathematical expression

Answers

Answer:

6=8x

Step-by-step explanation:

Answer:

6+8x

Step-by-step explanation

We are going to make sure we can do this as best as possible. We need to make sure that the words that you are reading are making sense.

Sum can be taken out because its just 6. We do not know what adds to 6, it could be 1 +5,  2+4, 3+3, -3 and 9, WE DO NOT KNOW. So don't put extra information into the expression, when it is not given.

The and would be an addition to something, because when we are speaking and say the word AND, we want to add to that sentence. So, and is the plus sign.

6+

Then product is multiplication. So 8 times x.

Put it all together and you get the expression:

6+8x

I really hoped that helped you!

7x-6y=11 solve for y​

Answers

Answer:

7x+11 =  6y

(7x+11)/6 = y

7x/6= y-11

There are multiple answers for this

Step-by-step explanation:

A factory makes 300 sheets of construction paper per hour. How many sheets of construction paper will the factory make in 9 hours?

Answers

Answer:

2700

Step-by-step explanation:

One hour is 300 sheets. We need to find 9 hours,

so 300*9= 2700

The sum of a number and 5
Help

Answers

Hey there! I'm happy to help!

Let's call our number n.

The word sum means to add.

Therefore....

n+5

Have a wonderful day! :D

(1 point) Find the antiderivative F of f(x)=4−3(1+x2)−1 that satisfies F(1)=−3.

Answers

Here is your answer I hope it’s helpful

The value of antiderivative F will be;

⇒ F = 4x - 3 arc tan x - 7 + 3π/4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The function is,

⇒ f (x) = 4 - 3 (1 + x²)⁻¹

Now,

Since, The function is,

⇒ f (x) = 4 - 3 (1 + x²)⁻¹

Hence, The antiderivative F of f (x) is,

⇒ F = ∫ (4 - 3 (1 + x²)⁻¹ ) dx

⇒ F = ∫ 4 dx - 3 ∫ (1 + x²)⁻¹ dx

⇒ F = 4x - 3 arc tan x + c

Where, c is constant of integration.

Here, The antiderivative of f (x) is satisfy F(1) = - 3,

So, Substitute x = 1, F = - 3

⇒ F = 4x - 3 arc tan x + c

⇒ - 3 = 4×1 - 3 arctan (1) + c

⇒ - 3 = 4 - 3π/4 + c

⇒ - 3 - 4 + 3π/4 = c

⇒ c = - 7 + 3π/4

Thus, The antiderivative F of f (x) is,

⇒ F = 4x - 3 arc tan x - 7 + 3π/4

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There are 7 books on the floor. The number of books on the shelf is 2 more than 3 times the number of books on the floor.

Answers

Ok so what you do is 7 multiplied by 3 that gives you 21 then you do 21+2 and get your answer which is 23


replace the values of m and n to show the soulutions of thie equation,
x2+6x-5=0​

Answers

The answer will be x=5/8

145,973 write in sentence form

Answers

Answer:

one hundred forty-five thousand nine hundred seventy-three

hope this helps!

Can you please help me with this please and i will give you a branlist please help me thank you

Answers

It would be your third option
Hopefully this helps

Answer:

zx

Step-by-step explanation:

Find the midpoint of the line segment with the given endpoints. (-10, 5), (-9, -9)

Answers

Answer:

[tex]=\left(-\frac{19}{2},\:-2\right)[/tex]

Step-by-step explanation:

[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(-9,\:-9\right)\\\\=\left(\frac{-9-10}{2},\:\frac{-9+5}{2}\right)\\\\Simplify \\=\left(-\frac{19}{2},\:-2\right)[/tex]

2. You need to buy grass seed for a new lawn. The lawn will cover a rectangular plot that is 60 feet by 90 feet. Each ounce of grass seed will cover 120 square feet. a. How many ounces of grass seed will you need to buy?​

Answers

Answer:

45 oz

Step-by-step explanation:

first you need to find the are of the yard. To do that you multiply the length by the width: 60x90=5400 feet

next you divide by 120: 5400/120=45

therefore, you need to buy 45 ounces of grass seed.

What is the square root of -16?
е в
-87
0 ООО
8

Answers

[tex]4i[/tex]

[tex]i=\sqrt{-1}[/tex]

[tex]\sqrt{-16}=\sqrt{-1}*4[/tex]

[tex]\sqrt{-16}=i*4[/tex]

[tex]4i[/tex]

Hope this helps.

頑張って!

A number minus 6 is few then 8

Answers

7 I think is you answer

Answer: true or yes

A number minus 6 is few then 8

Step-by-step explanation:

if you do 6-5=1 or 6-3=3 so true or yes ????

hoped this helped?????????

3.99 4.29 and 2.89 range

Answers

Answer:

1.4

Step-by-step explanation:

Sample size: 3

Lowest value: 2.89

Highest value: 4.29

Range: 1.4

formula for calculating the range:

Range = maximum(x_i) - minimum(x_i)

where x_i represents the set of values.

missing angle for triangle

Answers

Answer:

86

Step-by-step explanation:

33+61=94

180-94=86

35. Explain the difference between the reciprocal of x^2
and the inverse of x^2. (number 35 in the pic)

Answers

Answer:

As you can see, the difference between the reciprocal of [tex]x^2[/tex] and the inverse of   [tex]x^2[/tex] is that [tex]\frac{1}{x^2} =x^{-2}[/tex] and [tex]\sqrt{x} =x^{\frac{1}{2}[/tex].

Step-by-step explanation:

First lets find both the reciprocal of [tex]x^2[/tex] and the inverse of

Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of [tex]x^2[/tex], 1 is the denominator, so

[tex]\frac{x^2}{1} =\frac{1}{x^2}[/tex]

To find the inverse of a function, you first need swap the locations of x and y in the equation

[tex]y=x^2\\\\x=y^2[/tex]

Now, you need to solve for y

[tex]y^2=x\\\\y=\sqrt{x}[/tex]

Now, lets rewrite each of these to better compare them

[tex]\frac{1}{x^2} =x^{-2}\\\\\sqrt{x} =x^{\frac{1}{2}[/tex]

As you can see, the difference between the reciprocal of [tex]x^2[/tex] and the inverse of

7x(15+4) = (7x ) + (7+4)

Answers

Add the numbers inside the parentheses
7x(15+4)=(7x)+(7+4)
and you get
7x*19= 7x+11

Calculate the product
133x=7x+11

Move variable to the left hand side & change its sign
133x-7x=11

Collect like terms
126x=11

Divide both sides by 126 & you get
x=11/126


Answer: x= 11/126

Hope this helps ʕ•ᴥ•ʔ

idk what this is


pls help​

Answers

Answer:

Coplanar points

Step-by-step explanation:

Coplanar points are three or more points that lie in the same plane.

Passports. In 2006, approximately 71 million valid
passports were in circulation in the United States.
This number increased to approximately 102 million
in 2011. What is the percent increase?

Answers

Answer:

0.437%

Step-by-step explanation:

given:

initial number =  71 M

final number = 102M

increase = final number - initial number

= 102 - 71

= 31 M

Percent increase

= increase / initial number x 100%

= (31 / 71) x 100%

= 0.437%

Answer :

No. of valid passports in 2006 = 71M

No. of valid passports in 2011 = 102M

We have to find percentage increase in the number of passports[tex].[/tex]

[tex]\leadsto\sf\:\% Increase = \dfrac{N_2-N_1}{N_1}\times 100[/tex]

[tex]\leadsto\sf\:\% Increase = \dfrac{102M-71M}{71}\times 100[/tex]

[tex]\leadsto\sf\:\% Increase=\dfrac{31}{71}\times 100[/tex]

[tex]\leadsto\sf\:\% Increase=\dfrac{3100}{71}[/tex]

[tex]\leadsto\:\boxed{\bf{\blue{\% Increase=43.66\%}}}[/tex]

Hope it helps !

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Eddie Lange earns $11.50 per hour. He worked 40 hours, plus time and a half for 7 hours?​

Answers

Answer:

Total amount earned = $500.25

Step-by-step explanation:

Given:

Wage per hour = $11.50

Time worked = 40 hours

Extra time worked = 7 hour

Wage paid per extra hour = $11.50 / 2 = $5.75

Find:

Total amount earned

Computation:

Total amount earned = [Wage per hour][Time worked] + [Extra time worked][Wage paid per extra hour]

Total amount earned = [11.50][40] + [7][5.75]

Total amount earned = [460] + [40.25]

Total amount earned = $500.25

Find square of -9.2​

Answers

Answer:

84.64.

Step-by-step explanation:

(-9.2)^2

= (9.2)^2

= 84.64.

A cone has a volume of 180mm^3. If the height and radius of the cone are equal in length, find the radius r in mm. Round your answer to two decimal places

Answers

Answer:

r = 5.56 mm

Step-by-step explanation:

vol of cone = 1/3 π r² h

where

vol = 180 mm³

h = r

find r

plugin values into the formula:

180 = 1/3 * π r³

r³ =  (180 * 3) / π

r = ∛171.9

r = 5.56 mm

Answer:

radius = 5.56 mm

Step-by-step explanation:

Find the focus and directrix of the parabola y= 1/2 (x+2)^2 - 3 A. The focus is at (–2,–2) and the directrix is at y = –4. B. The focus is at (–2,–3) and the directrix is at y = –5. C.The focus is at (–2,–2 1/2) and the directrix is at y = –3 1/2. D. The focus is at (–2,–1 1/2) and the directrix is at y = –2 1/2.

Answers

Answer:

C. The focus is at [tex](-2,-2 \frac{1}{2})[/tex] and the directrix is at [tex]y = -3\frac{1}2.[/tex]

Step-by-step explanation:

First of all, let us learn about the formula to find Focus and Directrix from the standard equation of a parabola.

Standard form of a parabola is given as:

[tex](x - h)^2 = 4p (y - k)[/tex]

where the focus is [tex](h, k + p)[/tex] and

the directrix is [tex]y = k - p[/tex]

Now, we are given the equation of parabola as:

[tex]y= \dfrac{1}2 (x+2)^2 - 3[/tex]

Let us try to convert it to standard form:

[tex]\Rightarrow y+3= \dfrac{1}2 (x+2)^2 \\\Rightarrow 2(y+3)= (x+2)^2 \\\Rightarrow (x+2)^2 = 2(y+3)\\\Rightarrow (x+2)^2 = 4\times \frac{1}{2}(y+3)[/tex]

Comparing the above with standard equation of parabola [tex](x - h)^2 = 4p (y - k)[/tex]:

[tex]h = -2, p = \frac{1}{2}, k = -3[/tex]

So, Focus is at [tex](h, k + p)[/tex]

[tex]k + p = -3+\frac{1}{2} = -2\frac{1}{2}[/tex]

Focus is at [tex](-2, -1\frac{1}2)[/tex].

Equation of directrix:

[tex]y = k - p=-3-\frac{1}{2}\\\Rightarrow y = -3\frac{1}{2}[/tex]

Also, please refer to the attached image for the diagram of given parabola, focus and directrix.

So, the answer is:

C. The focus is at [tex](-2,-2 \frac{1}{2})[/tex] and the directrix is at [tex]y = -3\frac{1}2.[/tex]

Solve each system of equations.
1.
2x – 3y = 3
- 4x + 6y = -6

Answers

Answer:

First one: x= -1/2

Second one: x= 1/4

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