Luke is swimming in still water at a constant speed of 3 meters/second.
If you graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is
.

A point on this line that corresponds to the distance Luke swam in 45 seconds is

Answer:

40km per hour

Step-by-step explanation:

30 minutes × 2 = 60 minutes/1 hour

80 kilometers ÷ 2 = 40 kilometers

40:60

Answer:

D

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] × product of 2 sides × sine ( angle between them ) , that is

A = 0.5 × 5.04 × 6.82 × sin61.73° ≈ 15.14 ( to 2 dec. places )

Answer:

as it is cbe the volume of cube is l*l*l

Step-by-step explanation:

the answercis 5*5*5= 125

Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.

A system of equations, involving two linear lines has solutions as follows:

In the question, we are informed that Samia created the given tables for a linear system, and concluded that no solution exists for the system.

We are asked to comment on her conclusion.

To check for her conclusion, we calculate the slopes of both the lines to check whether the relations are parallel or not, as, for parallel relations, the slopes are equal.

Slope can be calculated using the formula, m = (y₂ - y₁)/(x₂ - x₁), when (x₁, y₁), and (x₂, y₂) are the points on the line.

Thus, the slope for:-

Relation 1, is m₁ = (22 - 8)/(4 - (-3)) = 14/7 = 2.

Relation 2, is m₂ = (12 - (-2))/(4 - (-3)) = 14/7 = 2.

Since the slope of the two relations is equal, that is, m₁ = m₂, and they are not coinciding with each other, we can say that the two relations are parallel to each other.

Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.

Learn more about the system of equations at

https://brainly.com/question/17149879

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Answer:

k + 7 = 11

k = 4

Step-by-step explanation:

1 + 6k = 25

25 - 1 = 6k

24 / 6 = k

k = 4

4 + 7 = 11

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

k = 4

The value of k + 7 = 11

Step-by-step explanation:

1 + 6k = 25

To find the value of k we have to use inverse operations

1 + 6k = 25

1 - 1= 0

25 - 1 = 24

This cancels out the 1 in this equation. 25 becomes 24 now because what we do to one side we do to the other.

6k = 24

To find k we have to divide 6 from 6 and 24

6/6= 0

24/6= 4

Now we are left with the variable k and 4

Therefore, k = 4.

To solve the second part of the equation we plug in k to the equation

k = 4

so the equation becomes 4 + 7

4 + 7 = 11

Answer:

y = 5/3x+2

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( -3 - -8)/( -3 - -6)

    = ( -3+8) / (-3+6)

    = 5/3

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

Substituting the point (-3,-3)

-3 = 5/3(-3) + b

-3 = -5+b

-3+5 = b

2 = b

y = 5/3x+2

Given points

First find the slope

[tex]\boxed{\sf m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-3+8}{-3+6}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{5}{3}[/tex]

Now

[tex]\boxed{\sf y=mx+b}[/tex]

[tex]\\ \sf\longmapsto -3=\dfrac{5}{3}(-3)+b[/tex]

[tex]\\ \sf\longmapsto b=2[/tex]

Hence the equation will be

[tex]\\ \sf\longmapsto y=\dfrac{5}{3}x+2[/tex]

Answer:

2/15

Step-by-step explanation:

2 green pens, 3 blue pens, 4 red pens, and 1 black pen =10 pens

P(red) = red/total = 4/10 = 2/5

Keep the pen

2 green pens, 3 blue pens, 3 red pens, and 1 black pen =9 pens

P(red) = red/total = 3/9 = 1/3

P(red,red) = 2/5 * 1/3 = 2/15

Answer:

11,4021

Step-by-step explanation:

the steps are simply ,

44231

11^4021

Answer:

The Prime Factorization is:

11 x 4021

In Exponential Form:

111 x 40211

CSV Format:

11, 4021

All Factors of 44231:

1, 11, 4021, 44231

hope it helps

please mark Brainliest

Answer:

Step-by-step explanation:

B ----> Base Area

Base is triangle

base = b = 10 in

height = h = 6 in

Area of base B = [tex]\frac{1}{2}bh[/tex]

                         [tex]=\frac{1}{2}*10*6\\\\= 5* 6\\\\= 30 \ in^{2}[/tex]

B = 30 in²

H = 15 in

Volume of triangular prism = BH

                                            = 30 * 15

                                            = 450 in³

Step-by-step explanation:

[tex]p(0) = \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} } = \frac{800}{1 + 49} = \frac{800}{50} = 16[/tex]

[tex]200 = \frac{800}{1 + 49 {e}^{ - 0.2t} } \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t} = 800 \\ 9800 {e}^{ - 0.2t} = 600 \\ {e}^{ - 0.2t} = \frac{3}{49} \\ ln( {e}^{ - 0.2t} ) = ln( \frac{3}{49} ) \\ - 0.2t = - 2.793 \\ t = 13.96 = 14[/tex]

Answer:

It can be the line of best fit because it closely fits the data points.

Step-by-step explanation:

The line is near the data points and goes down from left to right just like the data points.  It is just above or just below the data points.

Answer:

guy above is right

Step-by-step explanation:

Answer:

Jordans' age = 31 ; Anna's age = 19

Step-by-step explanation:

Given the 2 equations relating their ages

J + A = 50 → (1)

J = 12 + A → (2)

Substitute J = 12 + A into (1)

12 + A + A = 50

12 + 2A = 50 ( subtract 12 from both sides )

2A = 38 ( divide both sides by 2 )

A = 19

Substitute A = 19 into (2)

J = 12 + 19 = 31

Then Jordans' age = 31 ; Anna's age = 19

Answer:

Step-by-step explanation:

J = 12 + A equation 1

J + A = 50 equation 2

Solving equation 2

J + A = 50

A = 50 - J equation 3

Putting value of A in equation 1

J = 12 + A

J = 12 + 50 - J

Bringing like terms on one side

J + J = 12 + 50

2J = 62

J = 62/2 = 31

Putting value of J in equation 3

A = 50 - J

A = 50 - 31 = 19

Checking answer by putting values in equation 2

J + A = 50

31 + 19 = 50

50 = 50

So the age of Jordan is 31 and Anna is 19

Answer:

Not enough information

Step-by-step explanation:

Similar triangles must have congruent corresponding angles and proportional corresponding sides.

Answer:

not enough information

Step-by-step explanation:

Answer:

A=b×h

A=13.8×6

A=82.8 in²

A≈83in²

Step-by-step explanation:

Answer:

The equation 31=2c-7 to determine the number of points Carlos scored in the last game.

Step-by-step explanation:

We are given with,(I think every number is repeating for 3 times. So, I took each number as once)

Fabio had 7 less than 2 times as many points as Carlos. And Fabio score 31 points.

Let Carlos scored in the last game as "C".

So, we can set up equation for Fabio had 7 less than 2 times Carlos as

Fabio= 2C-7

Like so for Fabio score 31 as

Fabio =31

So, substitute Fabio as 31 into the first equation, we get

31= 2c-7

So, the equation 31=2c-7 to determine the number of points Carlos scored in the last game.

Answer: C

Step-by-step explanation:

The formula for a volume of a square-based prism is L² x h

If we insert 2 for L

We get 2² x 12 = 48

Same thing if we insert 3

3² x 12 = 108

As L is increasing, the volume is also increasing, so options A and D are out

The growth of the volume is not linear; it's exponential, eliminating B to make C the answer

If you want something visual, you can put y=12x² into a graphing calculator.

Answer:

Step-by-step explanation:

7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis

7x -14 -3x -9 = 5x -15 +x , isolate like terms

7x -3x -5x -x = 14 +9 -15, combine like terms

-2x = 8, divide both sides by -2

x= -4

g = -3,5

8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =

= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = -4

Answer:

this is a 60 60 60 triangle, so one exterior angle is 120 degrees.

Step-by-step explanation:

hope it helps!

Answer:

The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5

Answer:

this would be towards the front and the very end

Answer:

[tex]{ \tt{ {3x}^{2}(5 {x}^{3} ) = 15 {x}^{5} }}[/tex]

Step-by-step explanation:

[tex]{ \sf{3 {x}^{2}(5 {x}^{3} )}} \\ = { \sf{ {x}^{5} (3 \times 5)}} \\ = { \sf{15 {x}^{5} }}[/tex]

Answer:

C

Step-by-step explanation:

Given

10(3x + 2) > 7(2x - 4) ← distribute parenthesis on both sides

30x + 20 > 14x - 28 ( subtract 14x from both sides )

16x + 20 > - 28 ( subtract 20 from both sides )

16x > - 48 ( divide both sides by 16 )

x > - 3 → C

Answer:

Step-by-step explanation:

[tex] \sqrt[3]{64} [/tex]

[tex] = \sqrt[3]{4 \times 4 \times 4} [/tex]

= 4 (Ans)

Answer:

Step-by-step explanation:

Step-by-step explanation:

+ Both equations

You will get : 5x=13 ; x=13/5

and put x to the first equation

2*13/5-y=4

y=6/5

(13/5;6/5)

Answer is C

Answer:

9/8 = n

Step-by-step explanation:

9 = 8n

Divide each side by 8

9/8 = 8n/8

9/8 = n

Answer:

13/50

Step-by-step explanation:

Answer:

26/100

Method:

Fractions are much like percents, as they are both out of 100. The 26% is 26%/100% (26/100)

Answer:

Ans ; 1) 7.8 , 2) 3.3×10³ , 3) 2.1 ×10‐³ , 4) 3.7

I hope I helped you^_^