An earthworm accelerates from a speed of 0.01 m/s to 0.02 m/s over a distance of 0.9 m. How long did it take?

Answer: 2-i

Step-by-step explanation:

multiply the fraction by 3-i/3-i

The average rate of change of f(x) on the interval  30 ≤ x ≤ 60 is r = 1/5.

For a function f(x), we define the average rate of change over an interval:

a ≤x ≤b is given by:

( f(b) - f(a))/(b - a)

In this case we have the function defined by the table and the interval:

30 ≤ x ≤ 60

On the table we can see:

f(60) = 19

f(30) = 13

Then the average rate of change is:

r = (19 - 13)/(60 - 30) = 6/30 = 1/5

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Answer:

[tex]\dfrac{1}{2}[/tex]

Step-by-step explanation:

   Number of cards = 52

 Number of black cards = 13 (club) + 13 (spade)

                                        = 26

[tex]\sf P(\text{getting a black card})=\dfrac{26}{52}[/tex]

                                     [tex]\sf =\dfrac{1}{2}[/tex]

The pitcher that has the lowest number of runs allowed per inning is Randy.

In order to determine the pitcher that has the lowest number of runs per innings, divide the number of runs of each player by the number of innings of that player.

Division is the mathematical operation that is used to calculate the quotient of two or more numbers. It entails grouping a number into equal parts using another number.

Number of runs per innings = number of runs / number of innings

Number of runs per innings for Randy : (2 / 3) = 0.667

Number of runs per innings for Felix : (4 / 5) = 0.80

Number of runs per innings for Johan: (5 / 7) = 0.714

Here is the complete question:

A baseball team has three different pitchers. Randy pitched 3 innings and allowed 2 runs, Felix pitched 5 innings and allowed 4 runs, and Johan pitched 7 innings and allowed 5 runs.

Which pitcher has the lowest number of runs allowed per inning?

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The lines p and q are parallel.

Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines, but on opposite sides of the transversal.

Given a figure,

Since, ∠ 1 ≅ ∠ 5 and they are alternate exterior angles, then we can conclude that p║q by alternate exterior angles theorem.

Hence, The lines p and q are parallel.

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex] \textsf{1. Numbers are : 36, 3, 12 } [/tex]

[tex] \textsf{HCF = product of total common factors of} [/tex][tex] \textsf{all three numbers, i.e : 2 } [/tex]

[tex] \textsf{LCM = product of highest power of each factor } [/tex][tex] \textsf{present in any three of them,} [/tex][tex] \textsf{i.e : 2⁵ × 3 = 32 × 3 = 96} [/tex]

Similarly,

[tex] \textsf{2. Numbers are : 6, 54, 12} [/tex]

[tex] \textsf{GCD = 2 × 3 = 6 } [/tex]

[tex] \textsf{[ 2 and 3 are the only ones common} [/tex] [tex] \textsf{among all three ]} [/tex]

[tex] \textsf{LCM = 2² × 3³ = 4 × 27 = 108} [/tex]

[tex] \textsf{3. Numbers are : 16, 8, 12 } [/tex]

[tex] \textsf{GCD = 2 × 2 = 4 } [/tex]

[tex] \textsf{LCM = 2⁴ × 3 = 16 × 3 = 48} [/tex]

Answer:

Numbers are : 36, 3, 12

36 = 2 × 2 × 2 × 2 × 2 × 1

3 = 3 × 1

12 = 2 × 2 × 3

HCF = product of total common factors of all three numbers, i.e : 2

LCM = product of highest power of each factor present in any three of them, i.e : 2⁵ × 3 = 32 × 3 = 96

Similarly,

2. Numbers are : 6, 54, 12

6 = 2 × 3

54 = 2 × 3 × 3 × 3

12 = 2 × 2 × 3

GCD = 2 × 3 = 6

[ 2 and 3 are the only ones common among all three ]

LCM = 2² × 3³ = 4 × 27 = 108

3. Numbers are : 16, 8, 12

16 = 2 × 2 × 2 × 2

8 = 2 × 2 × 2

12 = 2 × 2 × 3

GCD = 2 × 2 = 4

LCM = 2⁴ × 3 = 16 × 3 = 48

Answer:

x+7=4/3x-1/3 One solution was found : x = 22 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... 3x-9/4x-12: correct answer right here

Step-by-step explanation:

Answer: B

Step-by-step explanation:

For 237,629 the 6 is located in the hundreds section so its value is approx. 600.

Now when you multiply 600 by 10 you get 6000

So the number of 6 should be located in the 6,000 range which is only in answer B 426,579

Answer:

B- 426,579

Step-by-step explanation:

The value of 6 in 237,629 is 600

600×10=6,000

Which answer has 6,000 as the value of 6?

- Answer B: 426,579

The time spent exercising for a student who spends 6 hours texting is 6 hours.

The scatter plot is given in the question,

As per the given scatter plot, we take the two points (9, 1) and (3,7).

The equation of the line of best fit:

Let the approximate equation would be as:

y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 9, y₁ = 1

x₂ =3, y₂ = 7

y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

y - 1 = (7 - 1)/(3 - 9)](x - 9)

y - 1 = (- 6/6)(x - 9)

y - 1 =  -1(x - 9)

y = -x + 9+ 1

y = -x + 10 ...(i)

The time spent exercising by a student who spends 4 hours texting

This means that x = 4.

Substitute the value x =4 in the equation (i), and solve for y

y = -4 + 10

y = 6

Hence, the time spent exercising for a student who spends 6 hours texting is 6 hours.

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Answer:

Step-by-step explanation: 348 miles and 6 hours

Answer:

I'm assuming it's just a conversion of mm into cm?? in that case it will be 2.4 cm

Answer:

  (x, y) = (1, 3)

Step-by-step explanation:

You want to solve the system of equations x-y= -2; x+y=4 by the addition method.

The addition method seeks to eliminate one of the variables by adding the equations with appropriate multipliers so that one of the coefficients becomes zero.

Here, we observe that the coefficient of y in one equation is the opposite of that in the other equation. This means adding the two equations will cancel the y-terms:

  (x -y) +(x +y) = (-2) +(4)

  2x = 2 . . . . . . . . . . . . . . . . simplify; y-term is eliminated

  x = 1 . . . . . . divide by 2

  1 +y = 4 . . . . . . . substitute for x in the second equation

  y = 3 . . . . . . . . . subtract 1

The solution is (x, y) = (1, 3).

The solution for the variable w according to the given equation; -21 ⅓ w + 6 = 15 as required in the task content is; w = -27/64.

It follows from the task content that the value of variable w is time determined according to the given equation as in the task content.

Given the equation; -21 ⅓ w + 6 = 15.

First, the mixed number must be converted to a fraction so that we have;

-21 ⅓ = -64/3.

Hence, the equation becomes;

-64w/3 + 6 = 15

Multiply both sides of the equation by 3 so that we have;

-64w + 18 = 45

-64w = 45 - 18

-64w = 27

w = -27/64.

Ultimately, the solution for variable w according to the equation as given in the task content is; w = -27/64.

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The complete table of values of the function is

x | f(x)

0 | 1

1 | 2

2 | 4

3 | 8

The ordered pairs are (x, y) = (0, 1), (1, 2), (2, 4) and (3, 8)

The equation of the function is given as

f(x) = 2ˣ

On the incomplete table of values, we have the following x values

x = 0, 1, 2, 3

Next, we substitute x = 0, 1, 2, 3 in the equation f(x) = 2ˣ

So, we have:

f(0) = 2⁰ = 1

f(1) = 2¹ = 2

f(2) = 2² = 4

f(2) = 2³ = 8

So, the complete table is

x | f(x)

0 | 1

1 | 2

2 | 4

3 | 8

When represented as ordered pairs, we have

(x, y) = (0, 1), (1, 2), (2, 4) and (3, 8)

See attachment for the graph

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Answer:

21 gallons

Step-by-step explanation:

[tex]\frac{9}{198} \times 462 \\ \\ =\frac{462}{22} \\ \\ =21[/tex]

The slope of the line that is parallel to the line -7x-5y=-6 is -7/5

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope of lines in a coordinate plane can aid in anticipating whether the lines are parallel, perpendicular, or none at all without actually using a compass.

Any two unique places along the line may be used to determine the slope of any line. When two different places on a line are considered, the slope of a line formula compares the vertical change to the horizontal change in each case. We shall comprehend how to discover the slope in this piece, along with some of its uses.

Given, line is -7x-5y=-6

We have to write the given line in slope-intercept form

Then, y= (-7/5)x+(6/5)

The slope-intercept form is y= mx +c

By using the slope-intercept form,

Slope=(-7/5)

The lines that are parallel to y= (-7/5)x+(6/5) have the same slope of -7/5

Therefore, the slope of the line that is parallel to the line -7x-5y=-6 is -7/5

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The elevation at the lower end of a drain is 119.8 feet. For the second drain difference in feet will be 10.55 feet and in inches will be 126.6 inch.

The height above or below a fixed reference point, most frequently a reference geoid, which is a mathematical representation of the Earth's sea level as an equipotential gravitational surface, determines a location's elevation. A vertical surface is depicted in an elevation when viewed from a point perpendicular to the viewer's picture plane. You are looking at the front elevation, for instance, if you are standing directly in front of a building and viewing its front. The height between a point and a horizontal surface is known as HEIGHT. The height of a point above (or below) sea level is known as its ELEVATION.

Here,

a. The length of drain= 52 feet

the gradual decrease=0.125 ft

elevation at high end=126.30 feet

elevation at low end,

=126.3-(52*0.125)

=126.3-6.5

=119.8 feet

b. The elevation at one end=94.67 feet

The elevation at other end=84.12 feet

The difference in elevation,

=94.67-84.12

=10.55 feet

=10.55*12

=126.6 inches

The elevation of a drain's lower end is 119.8 feet. The second drain will differ by 10.55 feet in feet and 126.6 inches in inches.

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Answer:

1350 ml

Step-by-step explanation:

(1800 : 4) * 3

450 * 3

1350 ml

Answer:

x = 12 m

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

here A = 44 , then

x × 3 [tex]\frac{3}{4}[/tex] = 44 ( change mixed number to improper fraction )

x × [tex]\frac{11}{3}[/tex] = 44 ( multiply both sides by 3 to clear the fraction )

11x = 132 ( divide both sides by 11 )

x = 12 m

The differentiation of the given function is [tex]9x^2tan(x^4)[/tex] + [tex]12x^{6}sec^2(x^4)+8x^3sec^2(x^4)[/tex].

In the given question we have to differentiate the given function with respect to x.

The given function is f(x)= [tex]tan(x^4)\cdot(3x^3+2)[/tex].

We have to differentiate the given function so we differentiate using the Product Rule.

The Product Rule of Differentiation is

d/dx[h(x)g(x)]=h(x) d/dx g(x)+g(x) d/dx h(x)

In the given function the value of

h(x) = [tex]tan(x^4)[/tex] and g(x) = [tex](3x^3+2)[/tex]

So;

f'(x)= [tex]tan(x^4)[/tex]d/dx [tex](3x^3+2)[/tex] + [tex](3x^3+2)[/tex] d/dx [tex]tan(x^4)[/tex]............(1)

We firstly find the value of d/dx [tex](3x^3+2)[/tex] and d/dx [tex]tan(x^4)[/tex].

We firstly find the value of d/dx [tex](3x^3+2)[/tex]

As we know that d/dx of x^n =nx^(n-1) and d/dx a=0

So;

d/dx [tex](3x^3+2)[/tex]= 3 d/dx [tex]x^3[/tex]+d/dx 2

d/dx [tex](3x^3+2)[/tex]=3(3[tex]x^2[/tex])+0

d/dx [tex](3x^3+2)[/tex]=9[tex]x^2[/tex]

Now finding the value of d/dx tan([tex]x^4[/tex])

d/dx [tex]tan(x^4)[/tex] = d/dx [tex]tan(x^4)[/tex] d/dx [tex]x^4[/tex]

d/dx [tex]tan(x^4)[/tex]= [tex]sec^2(x^4)\cdot(4x^3)[/tex]

d/dx [tex]tan(x^4)[/tex]= [tex]4x^3sec^2(x^4)[/tex]

Now putting the values of differentiation in equation 1

f'(x)= [tex]tan(x^4)\cdot9x^2[/tex] + [tex](3x^3+2)\cdot4x^3sec^2(x^4)[/tex]

f'(x)= [tex]9x^2tan(x^4)[/tex] + [tex]3x^3\cdot4x^3sec^2(x^4)+2\cdot4x^3sec^2(x^4)[/tex]

Simplifying

f'(x)= [tex]9x^2tan(x^4)[/tex] + [tex]12x^{3+3}sec^2(x^4)+8x^3sec^2(x^4)[/tex]

f'(x)= [tex]9x^2tan(x^4)[/tex] + [tex]12x^{6}sec^2(x^4)+8x^3sec^2(x^4)[/tex]

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Answer:

$13,720.00

Step-by-step explanation:

Calculate simple interest using the equation A = P(1 + rt)

A = $41,720.00

Interest = total repayment - original cost

$41,720.00 - 28,000 = $13,720.00

The image after a 270 rotation is (4, -3)

If the point of rotation is not the origin, the steps are as follows:

1. Subtract the point of rotation off each vertex point of

the shape

2. Rotate as you would around the origin

3. Add the point of rotation back to each vertex point of

the shape

Given: R(1, 2) after a 270 rotation about (0, - 2)

step1: (1-0, 2-(-2)) = (1, 4)

step 2: For rotation about the origin through 270°, the image is (y, -x). Thus, (1, 4) => (4, -1)

step 3: (4, -1) => (4+0, -1+(-2) ) = (4, -3)

Therefore, the image of R(1, 2) after a 270 rotation about (0, - 2) is (4, -3)

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Answer:

x ≥ 4

Step-by-step explanation:

-4 ( 8 - 3x ) ≥ 6x - 8

First, solve the brackets.

- 32 + 12x ≥ 6x - 8

Subtract 6x from both sides.

- 32 + 12x - 6x ≥ - 8

- 32 + 6x ≥ - 8

Add 32 to both sides.

6x ≥ - 8 + 32

6x ≥ 24

Divide 6 by both sides.

x ≥ 4

Answer:

40

Step-by-step explanation:

2 x 10⁷/5 x 10⁵ = 2/5 x 10^5-7 = 2/5 x 10² = 2 x 100/5

There were 40 times more white-tailed deer in 2000 than in 1905

Answer:

The first column is usually for the categories of the data set and the second or third column is usually for the frequency of each category.

The number written on the right of each category is its frequency

Step-by-step explanation:

Answer:

1st: One solution

2nd: Infinite many solutions

3rd: No solution

4th: No Solution

5th: One Solution

Step-by-step explanation:

1st:

The solution is (6,9)

x = 6 if a vertical line going though (6,0)

y = 9 is a horizontal line going through (0,9)

The two lines with intersect at (6,9)

2nd:

3y = 15x + 6  If you divide all the way through by 3, you get

y = 5x + 2

This is identical to the first equation given.  Since it is the same line, the answer is infinite many solutions.

3rd:

3y = x + 2  Divide all the way through by 3

y = 1/3 x + 2/3

9y = 3x + 7  Divide all the way through by 9

y = 1/3 x + 7/9

Since the slopes are the same in both equations (1/3), these line are parallel and will never intersect.

4th:

Since the slopes are both the same (2), the lines are parallel and they will never intersect, so the answer is no solution.

5th:

2y = 3x  Divide both sides by 2

y = 3/2

-5y = -10  Divide both sides by -5

y = 2x

These equations are proportional so they go through the origin.  They both have a y intercept of zero, so they intersect at (0,0).  The answer is one solution.

Answer:

whats the question