The one you picked, on the bottom left is correct
The top two both have rectangles and triangles, making them most likely triangular prisms. To the bottom right, the net represents a cube, which is incorrect, because the figure is supposed to be a rectangular prism.
The quantity of pounds of pencils that Jason gets, based on his sharing ratio, is <u>0.15 pounds</u>.
<h3>What is the sharing ratio?</h3>
The sharing ratio is the percentage or ratio that is held by a person out of the total value of the thing being shared.
Jason's share of the pencil can be determined by multiplying the total pencils in the box (1.5 x ¹/₂) by Jason's sharing ratio (¹/₅).
<h3>Data and Calculations:</h3>
Quantity of pencils bought = 1.5 pounds
Half of the pencils in a box = 0.75 pounds (1.5 x ¹/₂)
The pounds got by Jason from the box = <u>0.15 </u>(0.75 x ¹/₅)
Thus, the quantity of pounds of pencils that Jason gets is <u>0.15 pounds</u>.
Learn more about sharing ratios and ratios at brainly.com/question/26254916
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Answer:
225
Step-by-step explanation:
The sum of this series is given by the formula:
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Where
S_n is the sum
a is the first term (we get this by plugging in n = 1 into "2n-1", we have 2(1) - 1 = 1)
n is the number of terms (the sum is defined for n = 1 to n = 15, so 15 terms)
d is the common different (the difference is successive terms. Here, 2nd term would be 2(2) - 1 = 3, and first term was 1, so d = 3 -1 = 2)
<em>plugging in the info, we will get the sum:</em>
<em>![S_n=\frac{n}{2}[2a+(n-1)d]\\S_{15}=\frac{15}{2}[2(1)+(15-1)(2)]\\=225](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%5C%5CS_%7B15%7D%3D%5Cfrac%7B15%7D%7B2%7D%5B2%281%29%2B%2815-1%29%282%29%5D%5C%5C%3D225)
</em>
<em>The sum is 225</em>
<u>Answer</u>
y⁻¹ = ∛(4x+8)
<u>Explanation</u>
y=(1/4)x³ - 2.
To find the inverse of this equation, you first make x the subject of the formular.
y=(1/4)x³ - 2
Multiply both sides by 4;
4y = x³ - 8
Add 8 on both sides of the equation;
4y + 8 = x³
x³ = 4y + 8
Apply the cube root on both sides to get the value of x;
x = ∛(4y+8)
The inverse of y=(1/4)x³ - 2 is;
y⁻¹ = ∛(4x+8)
