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2 years ago

Determine the slope of the line in the graph below.

Mathematics

2 answers:

Katarina [22]2 years ago

6 0

Answer:

Step-by-step explanation:

jnj

mojhsa [17]2 years ago

4 0

Answer:

I'm pretty sure it's 5

Step-by-step explanation:

It's 5 if: (please confirm before you answer it--the picture is blurry and it's hard to tell).

The line appears to intersect the origin (0,0) and (2.5,12.5).

Slope is rise over run, so if you take the difference in y value and divide it by the difference in x value, you get the slope.

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Julian is using a biking app that compares his position to a simulated biker traveling Julian's target speed. When Julian is beh

zepelin [54]

Answer:

$\large \boxed{\text{11 km/h}}$

Step-by-step explanation:

1. The situation after 15 min:

(a) Distance travelled by simulated biker:

15 min =¼ h

$\text{Distance} = \dfrac{1}{4}\text{ h} \times \dfrac{\text{20 km}}{\text{1 h}} = \text{5 km}$

(b) Distance travelled by Julian

Julian is 2¼ km behind the biker. The distance he has travelled is (5 - 2¼) km

5 - 2¼ = 5 - ⁹/₄ = ²⁰/₄ - ⁹/₄ = ¹¹/₄ = 2¾

Julian has travelled 2¾ km in ¼ h.

2. Julian's average speed

$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}} = \dfrac{2\frac{3}{4}\text{ km}}{\frac{1}{4}\text{ h}} =\dfrac{11}{4}\text{ km}\times \dfrac{4}{\text{1 h}} = \textbf{11 km/h}\\\\\text{Julian's average speed is $\large \boxed{\textbf{11 km/h}}$}$

7 0

2 years ago

Read 2 more answers

Determine determine whether the following geometric series converges or diverges. if the series converges find its sum.

Lilit [14]

For starters,

$\dfrac{3^k}{4^{k+2}}=\dfrac{3^k}{4^24^k}=\dfrac1{16}\left(\dfrac34\right)^k$

Consider the $n$ th partial sum, denoted by $S_n$ :

$S_n=\dfrac1{16}\left(\dfrac34\right)+\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\cdots+\dfrac1{16}\left(\dfrac34\right)^n$

Multiply both sides by $\frac34$ :

$\dfrac34S_n=\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\dfrac1{16}\left(\dfrac34\right)^4+\cdots+\dfrac1{16}\left(\dfrac34\right)^{n+1}$

Subtract $S_n$ from this:

$\dfrac34S_n-S_n=\dfrac1{16}\left(\dfrac34\right)^{n+1}-\dfrac1{16}\left(\dfrac34\right)$

Solve for $S_n$ :

$-\dfrac14S_n=\dfrac3{64}\left(\left(\dfrac34\right)^n-1\right)$

$S_n=\dfrac3{16}\left(1-\left(\dfrac34\right)^n\right)$

Now as $n\to\infty$ , the exponential term will converge to 0, since $r^n\to0$ if $0$ . This leaves us with

$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{k=1}^n\frac{3^k}{4^{k+2}}=\sum_{k=1}^\infty\frac{3^k}{4^{k+2}}=\frac3{16}$

8 0

3 years ago

Read 2 more answers

What is the right triangle definition of the sine function

navik [9.2K]

Answer: Choice B. Opposite/hypotenuse

The "opposite" refers to the leg that is furthest from the reference angle. The hypotenuse is always the longest side. The longest side is directly across from the 90 degree angle.

8 0

3 years ago

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The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is th

Crank

Answer:

One number is 4.2, the other is 18.8

Step-by-step explanation:

1.) x+y=23

(x+6y)x2=4

2.) (x+6y)x2=4 = 2x+12y=4

3.)Use elimination/substitution to solve

2x+12y=4 = x+6y=2 = x=2-6y

2-6y+y=23

4.)Solve for y

2-5y=23 -> -5y=21 -> y=4.2.

5.)Solve for x

x+4.2=23

x=18.8

I may be wrong so let me know if I am

8 0

2 years ago

Please answer asap this person made a mistake what is the error and correct solution to this problem

stiv31 [10]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$(4+x)^2=4^2+2\cdot 4\cdot x+x^2=16+\boxed{8}x+x^2\\\\\text{ ... and not ...}\\\\16+\boxed{4}x+x^2$

So the correct equation becomes.

$x^2+64=16+8x+x^2\\\\8x=64-16=48\\\\\text{ we divide by 8 both sides of the equation.}\\\\x=\dfrac{45}{8}=6$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0

2 years ago

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Determine the slope of the line in the graph below.​

Determine the slope of the line in the graph below.