Answer:
C.
Step-by-step explanation:
recall that the point-slope form of a linear equation is given by
y = mx + c
Rearranging so that it is in the same form as the answer choices, we get
y = c + mx
where m is the slope and c is the y-intercept
we note the following observations
1) The line goes from top left to bottom right, this means that the slope is negative, hence m has to be negative. (in our case, all the choices have negative x)
2) The line crosses the y-axis at y = 4, this means the y-intercept is 4 and hence c = 4.
If we look at the choices, only choice B satisfies both observations (that m is negative and c = 4)
The density of a substance is the ratio of its mass and its volume. The mass of the rod is 10,666.67 grams or 10.67 kgs.
<h3>What is the density of a substance?</h3>
The density of a substance is the ratio of its mass and its volume. Therefore we can write,
mass of substance = m kg
density of substance = d kg/m³
volume of that substance = v m³
The length of the rod is 4 meters, therefore, the length of the rod in centimeters will be 400 centimeters. Thus, The mass in terms of density can be written as,
![= [2\cdot \dfrac{2x^{\frac32}}{3}]_0^{400}\\\\= [\dfrac{4x^{\frac32}}{3}]_0^{400}\\\\=[\dfrac{4(400)^{\frac32}}{3}]-[\dfrac{4(0)^{\frac32}}{3}]\\\\= 10,666.\bar6\rm\ grams](https://tex.z-dn.net/?f=%3D%20%5B2%5Ccdot%20%5Cdfrac%7B2x%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D_0%5E%7B400%7D%5C%5C%5C%5C%3D%20%5B%5Cdfrac%7B4x%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D_0%5E%7B400%7D%5C%5C%5C%5C%3D%5B%5Cdfrac%7B4%28400%29%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D-%5B%5Cdfrac%7B4%280%29%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D%5C%5C%5C%5C%3D%2010%2C666.%5Cbar6%5Crm%5C%20grams)
Hence, the mass of the rod is 10,666.67 grams or 10.67 kgs.
Learn more about Density:
brainly.com/question/952755
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Answer:
X=5/4 or 1.25
Solution:
Make algebraic equation to solve
4x-3=2
Solve
4x=2+3=5
X=5/4
Hope this helps. Please mark brainliest.
Answer:
Shorter Piece is 16 inches and Longer Piece is 28 Inches.
Step-by-step explanation:
Cut the 44 Inch piece in half (22+22) and subtracted 6 from one end and added six to another end which is 12 inches in total.
Hope this helps.
#FORTHEPUPPIES
Answer: 33 tulips bloomed / 66 tulips did not bloom
Step-by-step explanation:
<h2>Given:</h2>
Total number of tulips = 99
Total number of tulips bloomed = 3/9 of total
<h2>Solve:</h2>
Step One: Find the number of tulips that bloomed
99 × (3/9) = 99 × (1/3) = 33 tulips
Step Two: Find the number of tulips that did not bloom
99 - 33 = 66 tulips
Hope this helps!! :)
Please let me know if you have any questions
