Answer:
Gradient: m = 3
Step-by-step explanation:
m = change in y/change in x
m = ![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
m = ![\frac{9-(-3)}{6-(2)}](https://tex.z-dn.net/?f=%5Cfrac%7B9-%28-3%29%7D%7B6-%282%29%7D)
m = 12/4
m = 3
Answer:
ounces of marigold seeds.
Step-by-step explanation:
We have been given that Jane uses 2/5 of an ounce of lupine seeds for every ounce of Marigold seeds. We are asked to find the ounces of Marigold seeds, which Jane will use, if she used one ounce of lupine seeds.
We will use proportions to solve our given problem.
![\frac{\text{Marigold seeds}}{\text{Lupine seeds}}=\frac{1}{\frac{2}{5}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BMarigold%20seeds%7D%7D%7B%5Ctext%7BLupine%20seeds%7D%7D%3D%5Cfrac%7B1%7D%7B%5Cfrac%7B2%7D%7B5%7D%7D)
Let us simplify our proportion as shown below:
![\frac{\text{Marigold seeds}}{\text{Lupine seeds}}=\frac{1\cdot 5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BMarigold%20seeds%7D%7D%7B%5Ctext%7BLupine%20seeds%7D%7D%3D%5Cfrac%7B1%5Ccdot%205%7D%7B2%7D)
![\frac{\text{Marigold seeds}}{\text{Lupine seeds}}=\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BMarigold%20seeds%7D%7D%7B%5Ctext%7BLupine%20seeds%7D%7D%3D%5Cfrac%7B5%7D%7B2%7D)
Since Jane used 1 pounce of lupine seeds, so we will substitute this value in our proportion as:
![\frac{\text{Marigold seeds}}{1}=\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BMarigold%20seeds%7D%7D%7B1%7D%3D%5Cfrac%7B5%7D%7B2%7D)
![\text{Marigold seeds}}=\frac{5}{2}](https://tex.z-dn.net/?f=%5Ctext%7BMarigold%20seeds%7D%7D%3D%5Cfrac%7B5%7D%7B2%7D)
Therefore, Jane will use
ounces of marigold seeds, if she used one ounce of lupine seeds.
Answer:
20.5
Step-by-step explanation:
n=14.9+5.6
n=20.5
The amount of mass after 5 minutes is 75.74 grams.
It is given that
The amount initially = 330grams
After every minute mass decays by 25.5%
<h3>What is the percentage?</h3>
The percentage is the value per hundred.
Amount after 1 min = 330-330*25.5/100 = 245.85grams
Amount after 2 min = 245.85-245.85*25.5/100 = 183.16grams
Amount after 3min = 183.16-183.16*25.5/100 = 136.45grams
Amount after 4 min = 136.45-136.45*25.5/100= 101.66grams
Amount after 5 min =101.66-101.66*25.5/100 = 75.74grams
Therefore, the amount of mass after 5 minutes is 75.74 grams.
To get more about percentage visit:
brainly.com/question/24304697
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The square of the tangent is equal to the product of the secant lengths to the near and far circle intersections.
(x +4)² = (2x -1)(2x -1 +9)
0 = (2x -1)(2x +8) -(x +4)² = (4x² +14x -8) -(x² +8x +16)
0 = 3x² +6x -24 = 3(x² +2x -8) = 3(x +4)(x -2)
This has solutions x = -4 and x = 2. Only the latter works in this geometry.
x = 2