What is the constant proportionality, y/x?

Answer:

4.25 mph i think

Step-by-step explanation:

4x 3 =12

1/4 x 4 = 1

12 + 1 = 13

Answer:

x = -22

Step-by-step explanation:

The given expression is :

-0.57x+0.27x = 6.6

We need to find the value of x.

x(-0.57+0.27) = 6.6

x(-0.3) = 6.6

[tex]x=\dfrac{6.6}{-0.3}\\\\x=-22[/tex]

So, the value of x is -22.

Answer:

b.c

Step-by-step explanation:

Answer:c

Step-by-step explanation:

C

Answer:

A

Step-by-step explanation:

Answer:

The coordinates of the centroid are (0, 5)

Step-by-step explanation:

The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are ([tex]\frac{x1+x2+x3}{3}[/tex] , [tex]\frac{y1+y2+y3}{3}[/tex])

In Δ ABC

∵ A = (-20, 0), B = (0, 15), C = (20, 0)

∴ x1 = -20, x2 = 0, x3 = 20

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = ([tex]\frac{-20+0+20}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)

∴ The coordinates of the centroid of Δ ABC are (0, 5)

In Δ DBE

∵ D = (-15, 0), B = (0, 15), E = (15, 0)

∴ x1 = -15, x2 = 0, x3 = 15

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = ([tex]\frac{-15+0+15}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)

∴ The coordinates of the centroid of Δ DBE are (0, 5)

In Δ FBG

∵ F = (-5, 0), B = (0, 15), G = (5, 0)

∴ x1 = -5, x2 = 0, x3 = 5

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = ([tex]\frac{-5+0+5}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)

∴ The coordinates of the centroid of Δ FBG are (0, 5)

∵ The three triangles are symmetric about the y-axis

→ That means they have the same centroid and it lies on the y-axis

∴ The coordinates of the centroid are (0, 5)

Answer:

x=2, x=-2, and x=-1

Step-by-step explanation:

Function: f(x)=(x-2)(x+2)(x+1)²

We can solve each one of the zeros by making the expressions (the ones in the parentheseis) equal zero.

So we have three equations:

1.(x-2)=0

2.(x+2)=0

3.(x+1)²=0

Solve.

1.x-2=0

x=2

2. x+2=0

x=-2

3. (x+1)²=(x+1)(x+1)=0

(x+1)=0

x=-1

(x+1)=0

x=-1

Since those two were the same we can just say x=-1 once.

Here are the three zeros:

x=2, x=-2, and x=-1

hope this helps!

Answer:

[tex]g(n) = 10 * 3^{n}[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the explicit formula for the table

First, we need to check if the guppies increases at arithmetic progression or geometry progression.

For arithmetic progression:

We calculate the common difference (d)

[tex]d = g(n) - g(n-1)[/tex]

Take n as 1

[tex]d = g(1) - g(1-1)[/tex]

[tex]d = g(1) - g(0)[/tex]

From the table:

[tex]g(1) = 30\ \&\ g(0) = 10[/tex]

[tex]d = 30 - 10[/tex]

[tex]d = 20[/tex]

Take n as 2

[tex]d = g(2) - g(1)[/tex]

From the table:

[tex]g(1) = 30\ \&\ g(2) = 90[/tex]

[tex]d = 90 - 30[/tex]

[tex]d = 60[/tex]

The two differences are not equal. So, this

For geometry progression:

We calculate the common ratio (r)

[tex]r = \frac{g(n)}{g(n-1)}[/tex]

Take n as 1

[tex]r = \frac{g(1)}{g(1-1)}[/tex]

[tex]r = \frac{g(1)}{g(0)}[/tex]

From the table:

[tex]g(1) = 30\ \&\ g(0) = 10[/tex]

[tex]r = \frac{30}{10}[/tex]

[tex]r = 3[/tex]

Take n as 2

[tex]r = \frac{g(2)}{g(1)}[/tex]

From the table:

[tex]g(1) = 30\ \&\ g(2) = 90[/tex]

[tex]r = \frac{90}{30}[/tex]

[tex]r = 3[/tex]

The two ratios are equal.

So, the next step is to calculate the explicit formula using n term of a geometric progression.

Because the progression starts from 0, we make use of the following formula

[tex]g(n) = g(0) * r^{n}[/tex]

Substitute values for g(0) and r

[tex]g(n) = 10 * 3^{n}[/tex]

Hence:

The explicit formula is: [tex]g(n) = 10 * 3^{n}[/tex]

Answer:

$210

Step-by-step explanation:

Cost of 44kg onions = $308

Cost of 1kg onion = [tex] \frac{308}{44} = 7[/tex]

Cost of 30kg onions = [tex]30 \times 7 = 210[/tex]

Answer:

This question is so bad but it is most likely 25% or 0. this has no context in the question

Step-by-step explanation:

Answer:

4, see below :)

Step-by-step explanation:

We can rewrite the equation into:

3.5 + 2 - 1.5

First we add 3.5 and 2

3 and 2 are in the ones place so:

5, and then you added the .5

5.5

Then:

5.5 - 1.5

First we subtract the tenths place so:

.5 - .5 = 0

Then the ones:

5 - 1 = 4

Answer:

4 all i did was, i used a calculator

Answer:

Option C is correct

Step-by-step explanation:

Plz help answer my question my lattes question plz

Answer:

C

Step-by-step explanation:

Answer:

3x+4=3*2+4

3*2+4=6+4

6+4=10

10=10

Answer:

B=10

Step-by-step explanation:

worked it out on a graph on the internet

Answer:

7x26

Step-by-step explanation:

Answer:

I THINK SLOPE 3

Step-by-step explanation: MY GUT TELLS ME SO...

Answer:

Miles flown in 23.19 hours = 166968 miles

Step-by-step explanation:

Given that:

A satellite flies 55584 miles in 7.72 hours

We will find the unit rate first,

Unit rate = [tex]\frac{55584}{7.72}[/tex]

Unit rate = 7200 miles per hour

Miles flown in 23.19 hours,

Miles flown = 7200 * 23.19

Miles flown = 166968 miles

Hence,

Miles flown in 23.19 hours = 166968 miles

Answer:

Step-by-step explanation:

[tex]2^{14}[/tex] paisa  =16,384 paisa

Answer:

x = 53

Step-by-step explanation:

The entire line is BC, the line DE bisects the line BC, meaning it cut the line in half. So CE is half of BC, so the equation for CE has to be multiplied by 2. Therefore:

5x - 3 = (2x + 25)2

multiply

5x - 3 = 4x + 50

ad 3 to both sides

5x = 4x + 53

subtract 4x from both sides

x = 53

Input into the equation to check:

5x - 3 = (2x + 25)2

5(53) - 3 = (2(53) + 25)2

265 - 3 = (106 + 25)2

262 = (131)2

262 = 262, it's correct :)

Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Step-by-step explanation:

4y(3x+2)–2(3x+2)

(4y–2)(3x+2)

2(2y–1)(3x+2)

The Factor of given equation  [tex]4y(3x+2)-2(3x+2)[/tex]   is    [tex](2y-1) (6x+4)[/tex] .

Factor in an equation is something which is multiplied by something else or we can say that numbers or the variables that are multiplied together.

We have,

 [tex]4y(3x+2)-2(3x+2)[/tex]  

So, first simplify the expression,

      [tex]12xy+8y -6x-4[/tex]

⇒    [tex]12xy-6x+8y-4[/tex]

⇒     [tex]6x(2y-1)+4(2y-1)[/tex]

From we can see that [tex](2y-1)[/tex] is common in both terms,

Therefore,

⇒    [tex](2y-1) (6x+4)[/tex]

So,    [tex](2y-1) (6x+4)[/tex]  is the factor of the given expression.

Hence, we can say that the Factor of given equation [tex]4y(3x+2)-2(3x+2)[/tex]   is    [tex](2y-1) (6x+4)[/tex] .

To know more about factor click here

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Answer:

It's required [tex]7.48\ m^2[/tex] of sheet for the tank

Step-by-step explanation:

Surface Area of a Cylinder

Given a right cylinder of base radius r and height h, the surface area is calculated as follows:

[tex]S=2\pi r^2+2\pi r h[/tex]

The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:

[tex]S=2\pi 0.7^2+2\pi (0.7)(1)[/tex]

[tex]S=2\pi 0.49+1.4\pi[/tex]

[tex]S=2.38\pi[/tex]

[tex]\boxed{S=7.48\ m^2}[/tex]

It's required [tex]7.48\ m^2[/tex] of sheet for the tank

Answer:

A

Step-by-step explanation:

Answer:

what is the y-coordinate for A?

Step-by-step explanation:

Answer:

False

Step-by-step explanation:because it is.

Answer:

Following are the solution to this question:

Step-by-step explanation:

[tex]\to tellurium-131\\\\ \to T(t) =1000 \times e^{\frac{\log(2)}{25}t}[/tex]

where t = in miles

In part A:

When scientists got t=0, therefore the tellurium quantity.

[tex]\to T(t) = 1000 \times e^{0}[/tex]

           [tex]= 1000 \times 1 \\\\= 1000 \ grams[/tex]

In part B:

When 1 hours =  60 min  

[tex]T(t) = 1000 \times e^{\frac{\log 2}{25} \times 60} \\\\[/tex]

      [tex]= 1000 \times e^{\frac{\log 2}{5} \times 12}\\\\= 1000 \times e^{0.72247199}\\\\\= 1000 \times 2.05951803\\\\=2059.51803\\\\=2059.51 \ grams[/tex]

Task Radioactive isotopes decay by emitting radiation is that :

A) The tellurium-131 were in the sample the moment the scientist received are 1000 grams.

B)The grams of tellurium-131 will remain in the sample after one hour is 2059.51.

Given :

Part A:

When scientists got t=0,

t=1000*[tex]e^{o}[/tex]

t=1000*1

t=1000 grams

The tellurium-131 were in the sample the moment the scientist received are 1000 grams.

Part B:

The grams of tellurium-131 will remain in the sample after one hour is :

The grams of tellurium-131 will remain in the sample after one hour is 2059.51.

Know more about "isotopes":

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