what is the slope of the graph

Answer:

[tex]8.2 * 10^{-3}[/tex] is the greatest

2000 times greater

Step-by-step explanation:

Given

[tex]8.2 * 10^{-3}[/tex]

[tex]5.2 * 10^{-6}[/tex]

[tex]4.1 * 10^{-6}[/tex]

Solving (a): The greatest of the numbers

First, we convert them to decimals:

[tex]8.2 * 10^{-3} = 0.0082[/tex]

[tex]5.2 * 10^{-6} = 0.0000052[/tex]

[tex]4.1 * 10^{-6} = 0.0000041[/tex]

By comparing the decimal numbers, the highest is: 0.0082.

Hence,

[tex]8.2 * 10^{-3}[/tex] is the greatest

Solving (b): How many times greater than the smallest

In (a) above:

The greatest is: [tex]8.2 * 10^{-3}[/tex]

By comparing the decimal numbers,

The smallest is: 0.0000041 i.e. [tex]4.1 * 10^{-6}[/tex]

The number of times the greatest is greater than the smallest is:

[tex]Number = \frac{8.2 * 10^{-3}}{4.1 * 10^{-6}}[/tex]

[tex]Number = \frac{0.0082}{0.0000041}[/tex]

[tex]Number = 2000[/tex]

Hence, it is 2000 times greater

Answer:

8.46 years

Step-by-step explanation:

Given data

P=$3100

R= 3%

A= $4000

Calculate time, solve for t

t = ln(A/P) / r

substitute

t=ln(4000/3100)/3

t=ln1.290/0.03

t= 0.254/0.03

t= 8.46

Hence the time is 8.46 years

Answer:

{x,y} = {1,2} I believe <3

Step-by-step explanation:

Answer:

3x - 2y = -1

  [2]    x + y = 3

Step-by-step explanation:

Answer:

The answer is C

Answer: 4 ( x − 3 ) ( x + 3 )

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer:

Below.

Step-by-step explanation:

2x - 6 = 2(x - 3)

4x + 12 = 4(x + 3)

x^2 - 9 = (x - 3)(x + 3)

So the LCM is:

4(x - 3)(x + 3)

or 4x^2 - 36.

Answer:

$1.5

Step-by-step explanation:

This would be solved using a simultaneous equation

let tacos = t

drink = d

3t + d = 7 -- eqn 1

2t + 2d = 8 -- eqn 2

Multiply equation 1 by 2 to derive equation 3

6t + 2d = 14 eqn 3

Substract equation 2 from equation 3

6t + 2d = 14 -- eqn 3

         -

2t + 2d = 8 -- eqn 2

= 4t = 6

solve for t

6/4 = 1.5

= $1.5

Answer:

c

Step-by-step explanation:

Answer:it’s A

Step-by-step explanation:

Answer:

in order from top to bottom

one solution

infinite solutions

no solution

Answer:

7.28 × 1013

Step-by-step explanation:

The standard form of a number is introduced to avoid the difficulty of reading the large numbers. Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10.

9514 1404 393

Answer:

  D  Malin ran from 3:42 PM until 4:17

Step-by-step explanation:

You need only examine the least-significant digits to determine of the difference of times will end in 5.

The only time difference that is 35 minutes is ...

  3:42 pm to 4:17 pm . . . . . . choice D

Answer:

Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.

Step-by-step explanation:

Answer: 5/12

Step-by-step explanation:

Since the first customer bought 1/2 of the pan of brownies. This means that the pan of brownies left will be:

= 1 - 1/2

= 1/2

The The second customer bought 5/6 of what was left of the pan of brownies, the fraction that the second customer bought will be:

= 5/6 × 1/2

= 5/12

Answer:

5/12

Step-by-step explanation:

At a bake stall there is a large square pan of chocolate brownies. Customers can buy any fraction of the pan of brownies they like.

The first customer bought 1/2 of the pan of brownies.

The amount of brownies that was left over is given as:

1 - 1/2 = 1/2 brownies left ove

The second customer bought 5/6 of what was left of the pan of brownies.

The amount of brownies the second customers bought is calculated as:

5/6 of 1/2

= 5/6 × 1/2

= 5/12

What fraction of the whole pan did the second customer buy

Answer:

6a^3 + 5a^2 - 6a - 2

Step-by-step explanation:

(4a^3 + 5a^2 - a + 1) - (5a - 2a^3 + 3)

Combine like terms

4a^3 - (-2a^3) = 6a^3 (- times - = +)

-a - 5a = -6a

1 - 3 = -2

Now combine the answers in standard form (don't forget the 5a^2)

6a^3 + 5a^2 - 6a - 2

Answer:

$1210.88

Step-by-step explanation:

100 + 28 = 128

946/100 X 128 = 1210.88

Answer:

Step-by-step explanation:

ITS  125!

Answer:

B. 55

Step-by-step explanation:

N+W=180°

N+125°=180°

N=180°-125°

N=55°

Answer:

-12x + -4y = 8 would be the full equation so -12x goes in the box

Step-by-step explanation:

I think

(-4)(3x) = -12x

..........

Answer:

48

Step-by-step explanation:

16+32=16(1+2)=16(3)=48

16 + 32 as product of two factors = 16 × 3

A factor is a number that divides another number completely with no remainder. Factors and multiples are related concepts in math.

Given expression,

16 + 32

It can be written as

4 × 4 + 4×4×2

Greatest common factor = 4×4 = 16

16(1) + 16(2)

Using Distributive property, factoring out the GCF

16 (1 + 2)

16 × 3

Hence, 16 × 3 is the product form of 16 + 32.

Learn more about factors here:

https://brainly.com/question/2058395

#SPJ2

Answer:

y = 6

Step-by-step explanation:

3 y - x = 9

y = (2 x)/3

Substitute y = (2 x)/3 into the first equation:

{x = 9

y = (2 x)/3

Substitute x = 9 into the second equation:

Answer:

x = 9

y = 6

Answer:

m^2+n/2-17

Step-by-step explanation:

Answer:

[tex](4) \frac{n}{2} +m^{2} -17=2n+m^{2} -17[/tex]

Step-by-step explanation:

Step one: Remove Parenthesis

[tex]4*\frac{n}{2} =2n[/tex]

Step two: Add the rest back

[tex]=2n+m^{2} -17[/tex]

If there is something I missed please fill it in again sorry if I'm wrong.

Answer: 12 miles

Step-by-step explanation: Stright from her house to luke is 5 miles back ti brianna is 4 miles and back home is 3 miles all together 5+4+3=12

Answer:

B. x = 65 because 109−44=65 and 44 + 65 = 109

Step-by-step explanation:

Given :

The triangle below :

Sum of interior angles of a triangle :

(44° + x + (180 - 109) = 180°

44° + x + 71° = 180

115° + x = 180°

x = 180° - 115°

x = 65°

Answer:

7 < x

Step-by-step explanation:

-3 < x - 10

+10      +10

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

7 < x

Answer:

x > 7

Step-by-step explanation:

-3 < x -10

=> x - 10 > -3

=> x > 10 - 3

=> x > 7

Answer:

Distance between the plane and the observer is 511.86 miles.

Step-by-step explanation:

From the figure attached,

A plane is flying at point A which is at 200 m height and observer is at point C.

Angle of elevation (∠ACB) of the plane from the observer is 23°.

Let the distance between the observer and the plane is x meters.

By applying sine ratio for angle C,

sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23°) = [tex]\frac{200}{x}[/tex]

x = [tex]\frac{200}{\text{sin}(23)}[/tex]

x = 511.86 miles

Therefore, distance between the plane and the observer is 511.86 miles.

Answer:

135 Kilograms

Step-by-step explanation:

Alex = 105

Brian = 115

Carlton = 135

135