A box of cereal weighs 600 grams. How much is this weight in pounds? Round your answer to the nearest hundredth.

The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8

The given equation is:

[tex]3-k=\sqrt{3k+1}[/tex]

Square both sides of the equation

[tex](3-k)^2=3k+1[/tex]

Expand the left side of the equation above

[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]

Write the quadratic equation in standard form

[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]

Factor the quadratic equation

[tex](k-8)(k-1)=0[/tex]

Use the zero product property

k - 8 = 0

k = 8

k - 1 = 0

k = 1

The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8

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answer

first one: 8 and 1

second one: is 1

Step-by-step explanation:

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Answer:

you will bcz u didn't fail

Answer:

The answer is the last one: One runner in the study runs 31...

Step-by-step explanation:

31 is the input (x) and 81 is the output (y) and since there's 1 ordered pair per runner, it's going to be one runner, and the input is the miles ran.

The point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.

Given:

The college track coach conducts a study to see if the number of miles a person runs per week affects the standing heart rate (beats per minute).

So, the point (31, 81) tells that the runner run 31 miles this week with hear rate 81 beats / min

Hence, point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

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Answer:

[tex]\displaystyle [9, 4\frac{1}{2}][/tex]

Step-by-step explanation:

I figure these exercises out by numeric association. I see a 3, so I know right away that there might be a 9 somewhere. So, you start by plugging 3 in for [tex]\displaystyle x,[/tex] THEN plug [tex]\displaystyle 1\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] sinse there are twise the quantity of [tex]\displaystyle y[/tex] than there are of [tex]\displaystyle x.[/tex] Now, doing so will give you [tex]\displaystyle 24 ≠ 18.[/tex] This tells you to try another pattern, so go with plugging [tex]\displaystyle 4\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] and [tex]\displaystyle 9[/tex] in for [tex]\displaystyle x[/tex]. Doing so gives you what you are looking -- [tex]\displaystyle 36 = 36.[/tex] Therefore, the association wourked perfectly. ☑

I am joyous to assist you at any time.

That locked sign defines that both sides are equal.

The equations are

From (1) and (2)

[tex]\\ \rm\Rrightarrow 4y-9=2y[/tex]

[tex]\\ \rm\Rrightarrow 2y=9[/tex]

[tex]\\ \rm\Rrightarrow y=9/2=4.5[/tex]

Put in eq(1)

Hence

Answer:

in linear algebra a linear relationship or simply relation between elements of a vector space or a module is a linear equation that has these elements as a solution

Answer:

Step-by-step explanation:

Determine which climbed at a constant rate

A constant rate would produce a straight line.  The slope is the same for all the data for that climber.  We can either calculate the slope between the first and last intervals and see if the slope changes.  Or we can graph the points, which I chose to do.  See the attachment.

Note that Joe's rate is not constant.  It appears as though he's wearing down.  Both Zas and Stephon have constant slopes, so their climbing rates are constant over the period measured.

The slope is the climbing rate:

Joe:           Not Constant

Zas:            2.5 feet/sec

Stephon:     4.0 feet/sec

Time to Reach 30 feet

Joe:           Unknown - he's slowing down at an unpredictable rate.

For Zas and Stephen, use their slopes in the expression:

Use m for slope (ft/sec):  y = m(t) where t is time in seconds

Zas:            2.5 feet/sec:  y = 2.5(t)  Time to reach 30 is 30/2.5 or 12 sec.

Stephon:     4.0 feet/sec:  y = 4.0(t)  Time to reach 30 is 30/4.0 or 7.5 sec.

Step-by-step explanation:

C. in descending order by weight<br /><br />

Answer: Choice A.   sqrt(116)

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Explanation:

If we were to view a vertical cross section of the cone, then we get a triangle. This triangle splits along the vertical height line to form two congruent right triangles.

The horizontal piece of each triangle is the radius r = 4.

The vertical piece is the height h = 10.

Apply the pythagorean theorem to find the slant height, which is the hypotenuse of the right triangle.

a^2 + b^2 = c^2

r^2 + h^2 = x^2

4^2 + 10^2 = x^2

16 + 100 = x^2

116 = x^2

x^2 = 116

x = sqrt(116)

Answer:

Add 1 multiply by two

Step-by-step explanation:

As you see when 0 goes to 1, 9 goes to 18 so it is add 1 multiply by two.

Answer:

y=9x+9

Step-by-step explanation:

y=mx+c

You can use any of the 2 points

pnt1. (1;18)

pnt2. (3;36)

find the gradient

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{36 - 18}{3 - 1} [/tex]

[tex]m = \frac{18}{2} [/tex]

[tex]m = 9[/tex]

substitute one point and gradient to find c

y=mx+c

18=9(1)+c

18=9+c

c=18-9

c=9

therefore the equation is y=9x+9

the answer for 135 times 12 is 1620

Answer:

1620

Step-by-step explanation:

u can time 12 by 135 or divide them

Answer:

-x=16

x=-16

Step-by-step explanation:

That is the Answer

Answer:

142.8

Step-by-step explanation:

You can go 20.4 miles per gallon of gas.

You can go 142.8 miles for 7 gallons.

Answer: - 1331

Step-by-step explanation:

(-11)(-11)(-11)

(121)(-11)

- 1331

area=108 in. squared

12/2 gives you the radius (6)

6 squared is 36

36 times 3 is 108

Answer:

I think it's 25 meters.

Hope that helps. x

Answer:

I think it will be 25 meters

Answer:

NO solution

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Given:

FV is:

Which is same as total payment:

Solve the following by graphing:

See attached

The solution is:

Total payment:

The amount of interest:

Answer:

14 feet

Step-by-step explanation:

You find this answer by adding each side. The arrow tells us that each side of a square is 1 foot, so you add up the outer sides of each square

Answer:

y = -x + 5

Step-by-step explanation:

lmk if you want an explanation

Answer:  y ≤ (1/2)x + 3

Step-by-step explanation:

The slope is 1/2 and the y-intercept is 3.

The linear inequality represented by the graph is [tex]y \le \frac 12x + 3[/tex]

From the graph, we have the following highlights:

The first highlight implies that the inequality sign to use is ≤

The slope (m) is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{3 -4}{0-2}[/tex]

[tex]m = \frac{-1}{-2}[/tex]

[tex]m = \frac{1}{2}[/tex]

The y-intercept (b) is where the line crosses the y-axis:

b = 3

The linear inequality is represented as:

[tex]y \le mx + b[/tex]

So, we have:

[tex]y \le \frac 12x + 3[/tex]

Hence, the linear inequality is [tex]y \le \frac 12x + 3[/tex]

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[tex] \: \: \: \: \: \: [/tex]

[tex] = \frac{1}{9} \\ \\ or \: \: in \: \: alternate \: form \: \: \\ \\ 0.1, {3}^{ - 2} [/tex]

Step-by-step explanation:

[tex] \frac{5}{9} \div 5[/tex]

[tex] \frac{5}{9} \times \frac{1}{5} [/tex]

[tex] = \frac{1}{9} \: \: \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ 0.1, {3}^{ - 2} [/tex]

Answer:

4 7#+$+28$;;_(#(#;$('jwhdbdisjwb

Answer:

3 *6=12

3+6=9

9+3=12

2*5=2+5=7

7+2=9

a*b=a+b+a

if any doubt leave a comment

Answer:

Step-by-step explanation:

The sides r, 10 and 20 are parallel to each other as all three are perpendicular  to same line.

The triangles are similar as two sides are on same lines and another one is parallel as described above.

Work out the value of r using ratios of corresponding sides:

Now, find the distance x from the bottom of the cone to the base of the smallest ball, using same method as above:

Answer:

1 7/10

Step-by-step explanation:

3 1/2 - 1 4/5 = ?

3 5/10 - 1 8/10 = ?

2 5/10 - 8/10 = ?

1 15/10 - 8/10 = 1 7/10

Answer:

9 gallons will cost $13.50

Step-by-step explanation:

1 gallon = $1.50

1.50 x 9 = 13.50

or

3 gallons = $4.50

4.50 x 9 = 13.50

Answer:

13.5 dollars.

Step-by-step explanation:

4.50 times 3 is 13.5 dollars.

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