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luda_lava [24]
3 years ago
13

Variable y varies directly with x2, and y = 96 when x = 4.

Mathematics
1 answer:
lakkis [162]3 years ago
4 0
Direct variation is y = kx, where k is the constant of variation.
 But now it says y varies directly with x2 (or 2x), so now the x in the equation is 2x.

The equation is y = k(2x)
 Now you find k.
y = 96 when x = 4.
(96) = k(2*4)
96 = k(8)
k = 12
 
The equation is now y = 12(2x)
To find the value of y when x=2, plug 2 into the equation you made. y = 12(2*2) y = 48
_________________
Now it's with a "quadratic variation," which is the same thing except x is squared.
The equation is y = kx^2
 
But y varies directly with x2 (same thing as 2x), so now it's y = k(2x)^2.
 
Now you find k by substituting y and x values that were given.
y = 180 when x = 6
(180) = k(2*6)^2
180 = k(12)^2
180 = k(144)
k = 1.25
k, 1.25, is the constant of variation.
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A triangular prism is 13 meters long and has a triangular face with a base of 12.6 meters and a height of 16.6 meters. What is t
kolbaska11 [484]

Answer:

1359.54m^3

Step-by-step explanation:

The formula for the volume of a triangular prism is:

1/2(b \times l )\times h

<em>b= base </em>

<em>l = length</em>

<em>h</em><em>= </em><em>height</em>

Step 1: Plug the numbers into the formula

1/2(12.6*13)*16.6

Step 2: Simplify

163.8*16.6

1359.54

Step 3: Add units

The units used in the question were in meters, so the answer is also in meters.

Volume is always cubed, so it would be to the third power...1359.54m^3

If this answer helped you, I would greatly appreciate if you gave me brainliest :D.

5 0
2 years ago
The population of Tinyville is 16. 2 Tinys per acre. Exactly 405 Tinys live in Tinyville. How many acres is Tinyville? Enter onl
crimeas [40]

The area of Tinyville if the population of Tinyville is 405 Tinys while the population density of the Tinyville is 16.2 is 25 Acres.

<h3>What is Ratio?</h3>

A ratio shows us the number of times a number contains another number.

As it is given that the population density of Tinyville is 16.2 Tinys per acre, while the population of Tinyville is 405 Tinys. Therefore, the area of the Tinyville is the ratio of the population of Tinyville to the population density of the Tinyville.

\text{Area of Tinyville} = \dfrac{\text{Population of Tinyville}}{\text{Population Density of Tinyville}}

\text{Area of Tinyville} = \dfrac{405}{16.2} = 25

Hence, the area of Tinyville if the population of Tinyville is 405 Tinys while the population density of the Tinyville is 16.2 is 25 Acres.

Learn more about Ratio:

brainly.com/question/1504221

6 0
2 years ago
A rectangular prism has a length of 4 cm a width of 6 cm and a height of 3 cm what is it’s volume
liraira [26]

Answer: 72

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How would I find angle B for this bridge? What formula would I use?
astraxan [27]
The bridge attached is drawn according to given dimensions, and it doesn't look right.  Please double check the given dimensions.

Calculations:
Horizontal part of bottom chord below the 70 degree triangle 
= 15.1*cos(70) = 5.16  (which is a major prt of the 6.3 units.
Height of vertical pieces DF and EH
= 15.1*sin(70) = 14.19
Note that structurally, DF and EH do not help in reducing stress on the bridge, since they are perpendicular to the bottom chord.

Therefore 
angle B = atan(14.19/(6.3-5.16))=85.41 degrees

I believe the whole geometry does not look right, esthetically, and structurally, since the compression members are much longer than the tension members in the middle.  (The vertical members carry no force.) 
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4 0
3 years ago
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How do i solve this?
shutvik [7]
You would do pemdas or (), exponits, *, division, +,-
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