In August 200920092009, Usain Bolt ran 100100100 meters in 9.589.589, point, 58 seconds (\text{sec})(sec)(, start text, s, e, c, end text, ), setting the world record at that time. There are approximately 1.0941.0941, point, 094 yards (\text{yd})(yd)(, start text, y, d, end text, )in a meter. What was Usain Bolt's average speed in yards per second

Answer:

D. n= 0 or n= 4/5

Step-by-step explanation:

Factor and set each factor equal to zero.

n

=

0

,

4

5

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

n

=

0

,

4

5

Decimal Form:

n

=

0

,

0.8

Answer:

The slope of the line is [tex]m = \frac{3}{5}[/tex] and the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex].

Step-by-step explanation:

From table we understand that slope of the line is constant, that is, for each change of [tex]x[/tex] there is one and only change in [tex]y[/tex], fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:

[tex]m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}[/tex] (1)

Where:

[tex]x_{o}, x_{f}[/tex] - Initial and final x-coordinates of the line.

[tex]y_{o}, y_{f}[/tex] - Initial and final y-coordinates of the line.

If we know that [tex](x_{o}, y_{o}) = (0,0)[/tex] and [tex](x_{f},y_{f}) = (8,4.8)[/tex], then the slope of the line is:

[tex]m = \frac{4.8-0}{8-0}[/tex]

[tex]m = \frac{3}{5}[/tex]

From graph we conclude that x-intercept of the line is [tex]b = 0[/tex]. Hence, the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex] and we proceed to plot the expression with the help of a graphing tool.

Answer:

The answer is option C

Step-by-step explanation:

Product means that we have to multiply

So we multiply (3x - 4y) by (-2x + 5y - 6)

So the solution will be

3x(-2x + 5y - 6) - 4y(-2x + 5y - 6)

Note: don't forget that there are positive signs and negative signs in the equation

-6x² + 15xy - 18x + 8xy - 20y² - 24y

Group like terms

The like terms here are 15xy and 8xy so we group them

-6x² + 15xy + 8xy - 18x - 20y² - 24y

-6x² + 23xy + 8xy - 18x - 20y² - 24y

And that's your answer

Answer:

12 grams

Step-by-step explanation:

15/5 = 3 half lives

(1/2)³ = 1/8 of the original amount will remain

96 * 1/8 = 12 grams

Answer:

Step-by-step explanation:

Radioactive decay problems are very similar to compound interest formulas, except the rate is subtracted from one, instead of adding to one.

I.e.

mass at time t, m(t) = M (1 - r)^(t/h)

where

M = initial mass (grams)

m (t) mass left at time t (grams)

h = half-life in number of days

r = 0.5 from "half-life"

t = time lapse in number of days

Here

M = 96

h = 5

t = 15

m(15) = 96(1-0.5)^(15/5)

= 96 (1/2)^3

= 12 grams

Answer:

98º

Step-by-step explanation:

The sum of angles in a triangle is 180

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

The missing angle in the triangle

180 - 45 - 53 = 82º

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

x is supplementary to 82º

x = 180 - 82

x = 98º

Answer:

mean = adding up all the numbers then divid by number of numbers

Step-by-step explanation:

I.e 2 5 7 9 7 add up = 30

30 ÷ 5 = 6 so 6 is the mode

Answer:

50

Step-by-step explanation:

When given the following equation, and information,

7m - 6

m = 8

One must substitute the value of (m) into the equaiton. Then simplify and solve to evaluate the equation,

7m - 6

7(8) - 6

56 - 6

50

Answer:

50

Step-by-step explanation:

7m-6

Let m= 8

7(8) -6

Multiply first

56-6

Then subtract

50

Answer:

ans: 31°

Step-by-step explanation:

<EFG = <EFH + <HFG

2x+52= 21 + ( x+31)

2x-x= 21 +31 -52

x= 0

so our question is to find <HFG so,

x+31°= 31°

Answer:

2m+8

Step-by-step explanation:

Answer:

8.481 ft² .      I don't know if this is simplest form or not, but hopefully it is.

Step-by-step explanation:

How im going to do it is crafty, if i get it wrong im sorry.

Area circle = πr²

Area circle = 3.14 * 9 ≈ 28.27

28.27 / 360 = 0.07852777777

0.07852.777777 x 108 = 8.481

Answer = 8.481 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

they are NOT the same

Step-by-step explanation:

y+ 1 = 5(x + 2) is  y = 5x + 9

distribute the 5 and get 5x + 10

when you subtract the 1 from both sides the 10 becomes a 9

Answer:

18 and if I round it off to the nearest tenth it will be 20

just so you know I'm not that good at maths

Answer:

I dont see the question oh nvm

Step-by-step explanation:

Answer:

We have the inequality:

3*(2*x - 1) < 9

Where the given options are:

0, 1, 2, 3, 4

(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).

Again, let's start with the inequality:

3*(2*x - 1) < 9

and let's isolate the variable x.

(2*x - 1) < 9/3 = 3

(2*x - 1) < 3

2*x < 3 + 1 = 4

2*x < 4

x < 4/2

x < 2

Then all the values of x that are strictly smaller than 2 make the inequality true.

From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:

x = 0

and

x = 1.

Answer:

A cone with diameter 6 units

Step-by-step explanation:

Rotating the triangle about line m will give us a cone with radius 3

If the radius is 3, the diameter is 2*r = 2*3 = 6

Answer:

Step-by-step explanation:

a cone with a radius of 5

Answer:

The third number is 11

Step-by-step explanation:

First, you multiply 15 by 3 to get the sum(45) and then you add 18 and 16 to get 34. Lastly, you will minus 45 and 34 and your answer will be 11.

Answer:

[tex]Each = \frac{15}{128}[/tex]

Step-by-step explanation:

Given

See attachment for line plot

Required

Determine the total trash picked

The data on the line plot can be represented as:

[tex]Trash \to Schools[/tex]

[tex]\frac{1}{8} \to 6[/tex]

[tex]\frac{1}{4} \to 8[/tex]

[tex]\frac{1}{2} \to 2[/tex]

[tex]1 \to 0[/tex]

The total trash picked is:

[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 8 + \frac{1}{2} * 2 + 1 * 0[/tex]

[tex]Total = \frac{3}{4} + \frac{8}{4} + 1+0[/tex]

Take LCM

[tex]Total = \frac{3+8+4+0}{4}[/tex]

[tex]Total = \frac{15}{4}[/tex]

The total picked by each school is:

[tex]Each = \frac{Total}{32}[/tex]

[tex]Each = \frac{15/4}{32}[/tex]

Rewrite as:

[tex]Each = \frac{15}{4*32}[/tex]

[tex]Each = \frac{15}{128}[/tex]

=======================================================

Work Shown:

A = old value = 360

B = new value = 270

C = percent change

C = (B-A)/A

C = (270-360)/360

C = -90/360

C = -0.25

C = -25%

The negative C value indicates we have a percent decrease.

Note how 25% of 360 = 0.25*360 = 90, meaning that the price has dropped by 90 galleons. And also note that 360-270 = 90 is that same figure of 90. This helps confirm the answer.

Answer:

sorry I don't know the answer

Answer:

subtract 8 from both sides

Step-by-step explanation:

Answer:

Amount of interest pay per year = $97.5 (Approx.)

Step-by-step explanation:

Given:

Amount borrow for college expenses = $3,897

Rate of interest = 2.5%

Find:

Amount of interest pay per year

Computation:

Using Simple interest formula;

Simple interest = Amount borrow x Rate of interest x number of year

Amount of interest pay per year = 3,897 x 2.5% x 1

Amount of interest pay per year = 3,897 x 0.025

Amount of interest pay per year = 97.425

Amount of interest pay per year = $97.5 (Approx.)

Answer:

The 4th option

Answer:

x = 51, y = 17

Step-by-step explanation:

Consecutive angles sum to 180° , so

x + 129 = 180 ( subtract 129 from both sides )

x = 51

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

Opposite angles are congruent, so

3y = x = 51 ( divide both sides by 3 )

y = 17

Step-by-step explanation:

x + 129° = 180°

x = 180°- 129°

x = 51°

3y + 129° = 180°

3y = 180° - 129°

3y = 51°

y = 51°/3

y = 17°

Respuesta:

54 discos son de música clásica

9 discos son de música para bailar

:)

Answer:

-1 and -2

Step-by-step explanation:

The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

The functions are given as:

Function 1

f(x) = -(x - 4)² + 1

Function 2:

f(x) = -(x - 2)² + 5

A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum

The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.

Read more about quadratic functions at:

brainly.com/question/4140287

#SPJ3

complete question;

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).

Answer:

The square is the quadrilateral.

Step-by-step explanation:

A quadrilateral is a 2 dimensional geometric shape. It has four sides which may be or may not be equal.

If a quadrilateral is a square and we make its diagonal so that we get two triangles.

These two triangles are isosceles triangle as the two sides are equal and the square has four equal sides and the triangles are congruent to each  other.  

here, the triangles ABC and ADC are congruent and isosceles.

Answer:

3(n-8)

Step-by-step explanation: