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KATRIN_1 [288]
4 years ago
12

Try this X varies directly as y and jointly as z, and x = 20, when y=3 and z= 4 a. Find the constant b. What is the formula conn

ecting X, y and z c. Find x when y=6 and z= 10​
Mathematics
1 answer:
Viktor [21]4 years ago
5 0

Answer:

Step-by-step explanation:

as x is direct to y hence

x∝y

also given x∝z combine these two equation we get

x∝y*z

now insert b as constant

x=b*y*z

as given x=20, y=3 , z=4 putt in above equation we get

b=20/3*4 =5/3 =1.666

if you like it the  hit the star and brain list it pls

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Solve the given system. y = x 20 y = 6x
adelina 88 [10]
If you would like to solve the following system, you can calculate this using the following steps:

y = x - 20
y = 6 * x
_________
6 * x = x - 20
6 * x - x = -20
5 * x = -20    /5
x = -4

y = 6 * x = 6 * (-4) = -24

If you would like to solve the following system, you can calculate this using the following steps:

y = x + 20
y = 6 * x
_________
6 * x = x + 20
6 * x - x = 20
5 * x = 20    /5
x = 4

y = 6 * x = 6 * 4 = 24
8 0
4 years ago
Let v⃗ 1=⎡⎣⎢033⎤⎦⎥,v⃗ 2=⎡⎣⎢1−10⎤⎦⎥,v⃗ 3=⎡⎣⎢30−3⎤⎦⎥ be eigenvectors of the matrix A which correspond to the eigenvalues λ1=−1, λ2
kaheart [24]

Answer:

- x as a linear combination :

x = -1 v1+ 0 v2+ 1 v3.

- Transpose Ax = (12, -6, -6)

Step-by-step explanation:

Given v1 = (0 3 3),v2 = (1 −1 0), v3 = (3 0 −3) be eigenvectors of the matrix A which correspond to the eigenvalues λ1 = −1, λ2 = 0, and λ3 = 1, respectively, and let x = (−2 −4 0). Express x as a linear combination of v1, v2, and v3, and find Ax .

To write x as a linear combination of v1, v2, and v3

x = -1 v1+ 0 v2+ 1 v3.

To find Ax

Write A = (0 ......3 ......3 )

...................(1 ......-1 ......0)

...................(3 ......0......-3)

Since transpose x = (-2, 4, 0)

Ax =......... (0 ......3......3 )(-2)

...................(1 ......-1 ......0)(4)

...................(3 ......0......-3)(0)

= (0×-2 + 3×4 + 3×0)

...(1×-2 + -1×4 + 0×0)

.. (3×-2 + 0×4 + -3×0)

As = (12)

....(-6)

....(-6)

Transpose Ax = (12, -6, -6)

7 0
3 years ago
How to graph this slop (put a pic if u can )pls help due at 11
poizon [28]

Answer:

hopes this help luv <3

Step-by-step explanation:

5 0
3 years ago
What is the surface area of the triangular prism?<br> In square feet
vampirchik [111]

Answer:

The surface of the triangular prism is 12 ft

Step-by-step explanation:

To find the surface area you have to multiply the base and the height and divide the product by 2

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6 0
3 years ago
Read 2 more answers
In a population of 1000 snails, tests of snail color genes show that 160 snails are AA, 480 are Aa and 360 are aa. What is the f
Kipish [7]

Answer:

Option C.

Step-by-step explanation:

Total population = 1000 snails

AA = 160 snails

Aa = 480 snails

aa = 360 snails

Frequency of each type.

AA=\dfrac{160}{1000}=0.16

Aa=\dfrac{480}{1000}=0.48

aa=\dfrac{360}{1000}=0.36

Now, we get

A^2=0.16\Rightarrow A=\sqrt{0.16}=0.4

he frequency of the A allele in this population is 0.4.

Therefore, the correct option is C.

3 0
3 years ago
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