What Is the slope of the line on the graph?

From the line plot

Answer:

Jocelyn's plane travelled 3650 miles.

Step-by-step explanation:

mph stands for miles per hour.

Let's set up an equation.

total miles = speed(hours)

Jocelyn's plane travelled 500 mph for 7.3 hours.

total miles = 500(7.3)

Multiply.

total miles = 3650

Jocelyn's plane travelled 3650 miles.

Hope this helps!

The differentiation of the given function f(x)=x⁴(5x⁴+4) is f'(x)=4x³(10x⁴+4)

The derivative of a function of a real variable in mathematics measures the sensitivity of the function value to changes in its argument. The velocity of a moving object, for example, is the derivative of its position with respect to time: this measures how quickly the object's position changes as time passes.

When it exists, the derivative of a function of a single variable at a given input value is the slope of the tangent line to the function's graph at that point. The best linear approximation of the function near that input value is the tangent line. As a result of this, the derivative is

Given,

f(x)=x⁴(5x⁴+4)

f(x)=5x⁸+4x⁴

By differentiating the given function with respect to x.

f'(x)=5d/dx(x⁸)+4d/dx(x⁴)

= 5(8x⁷)+4(4x³)

=40x⁷+16x³

=4x³(10x⁴+4)

Therefore, f'(x)= 4x³(10x⁴+4)

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The answer is:16572

Step-by-step explanation:

first you got to remove the small bracket then if there is no sign between the number and brackets just multiply them .

Answer:22,096

Step-by-step explanation:1381 (12+ 3+ 1)2 can be simplified to 1381 x 16, which equals 22,096.

Hence Proved N to N is uncountable set by using a diagonalization argument

What is Diagonalization Argument?

Georg Cantor published the Cantor's diagonal argument in 1891 as a mathematical demonstration that there are infinite sets that cannot be put into one-to-one correspondence with the infinite set of natural numbers. It is also known as the diagonalization argument, the diagonal slash argument, the anti-diagonal argument, the diagonal method, and Cantor's diagonalization proof.

Proof:

We write f as the sequence of value it generates

that is, say f:N-N is defined as f(x) =x then

we write f as : 1,2,3,4........

similarly if f:N-N were f(x) = 2x then we write it as :2,4,6,8.......

now assume on the contrary that the set of functions from N to N is countable

then,

\(f_{1}\)   :     \(f_{11}\)        \(f_{12}\)       \(f_{13}\) , ...........

\(f_{2}\)   :     \(f_{21}\)        \(f_{22}\)       \(f_{23}\) , ...........

\(f_{3}\)   :     \(f_{31}\)        \(f_{32}\)       \(f_{33}\) , ........... and so on

Here \(f_{ij}\) =\(f_{i}(j)\)

consider the function f as :

f : (\({f11}\) +1 ) , (\({f22}\) +1) , (\({f33}\) +1),.........

Then f wouldn't appear in the list of the function we had above since any \(f_{i}\) would disagree with f at the i th place

Therefore the set of the function from N to N is an uncountable set

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Answer:

14 students

Step-by-step explanation:

dont ask i just know

Answer:

14 Students made the team.

Step-by-step explanation:

There are different ways to solve percentages, but I only use one.

\(\frac{20}{100}\) • \(\frac{x}{70}\) So you cross multiply 20 and 70 which is 1400. Then you divide 1400 by 100 which is 14.

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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Answer:

33.33% chance

Step-by-step explanation:

6-4=2

2 more green marbles than red

2/3 or green & 1/3 is red

so devide 100%

my opinion answer c solution to the equation X3 equals to 8 is X = 24

Answer:

D

Step-by-step explanation:

it is correct cause x^3 power is 125 and x is 5

Answer:

24,429 cubic inches

YWW:)

Answer:

Answer: 38

Step-by-step explanation: 6 / 2 = 3

3 + 3 = 6

42 - 6 = 38

Answer:

209,106

expanded form

200,000

9,000

100

6

= 200,000 + 9,000+ 100+6

Answer:

Its B

Step-by-step explanation:

Answer:

Time = X = 37.14 minutes

Distance they covered= 33.42 miles.

Step-by-step explanation:

Distance= speed * time

And the distance traveled by the two need to be equal.

Speed of storm = 33 mph

Speed of van = 54 mph

But storm is 13 miles away from van.

So

54*x = 33*x+ 13

54x-33x = 13

21x = 13

X= 0.62 hours

X = 37.14 minutes

54 *0.62= 33.42 miles.

Answer:

The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.

Therefore, the length of the dam drawing is 5 cm.

Step-by-step explanation:

Answer:

What is it?

Step-by-step explanation:

Answer:

The slope of the table is 1/5

Step-by-step explanation:

\(m=\frac{3-1}{10-0}\)

\(m=\frac{2}{10}\)

\(m=\frac{1}{5}\)

Answer:

i can only say that you should use this forumla, the sins law

sin(a)/A = sin(b)/B = sin(c)/C

Step-by-step explanation:

Answer:  100f + 150e = 1250

Step-by-step explanation:

Subtract the 1st from the 2nd to solve for e:

50e = 250

e = 5 boxes (# of boxes of eight-once cups)

f + e = 10, so f = 5 boxes: (# of boxes of five-once cups)

6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.

Let x represent the number of box of 5-ounce cups and y represent the number of box of 8 ounce cups.

The room can only hold 10 more boxes, hence:

x + y ≤ 10   (1)

A maximum of $1200 is budgeted for yogurt cups. Hence:

100x + 150y ≤ 1200     (2)

Plotting the graph of the inequality, the solution is at (6, 4)

Therefore 6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.

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Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

Answer:

hope helpful

Step-by-step explanation:

girls

750+15

=769

boys

600+10

=610

total:

610+769

=1379

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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Answer:

Step-by-step explanation:

Ans   k = 4

Step-by-step explanation:

Here g(x) =\(\frac{-1}{3}x + 1\) and

        f(x) = \(\frac{-1}{3} x -3\)

Now,  g(x) = f(x) + k

    or,      \(\frac{-1}{3}x + 1\)  =  \(\frac{-1}{3} x -3 + k\)

    or,      1 + 3 = k

    So,  k = 4   Answer.

The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

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Answer: use y=mx+b

Step-by-step explanation: Every straight line can be represented by an equation: y = mx + b. The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Source: math.com

The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

We have

Number of students= 1200

Water consumption per student= 750 ml

So, Total water consumption

= Number of students × Water consumption per student

= 1200 × 750 ml

= 900000 ml

= 900 Liter

Now, the time cooler tank has to be filled to quench the thirst

= 900 / 50

= 18 times

Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

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