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otez555 [7]
3 years ago
8

Hi can someone please answer my question. thank you ❤️​

Mathematics
1 answer:
Ne4ueva [31]3 years ago
4 0
Hope this helps, have a great!!

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The variable x varies directly as the cube of y, and y varies directly as the square root of z. If x equals 1 when z equals 4, w
Aloiza [94]

Answer:

<h2>z=36</h2>

Step-by-step explanation:

According to the question,

x∝y^3          .......(1)

y∝\sqrt{z}    .......(2)

From equation 1,2 let constant of proportionality be k1,k2 respectively.

⇒x=k1(y^3)            .......(3)

⇒y=k2(\sqrt{z} )    .......(4)

From the above equations putting 4 into 3,

x=k1((k2\sqrt{z})^3) =k1.k2^3.(\sqrt{z})^3

Let the new constant to the above equation be k3,

x=k3(\sqrt{z})^3

Given,if x=1, when z=4

1=k3(\sqrt{4} )^3=k3(8)

⇒k3=\frac{1}{8}

Now if x=27, then z=?

27=\frac{1}{8} (\sqrt{z} )^3

⇒(\sqrt{z} )^3=27(8)

⇒\sqrt{z}=3(2)=6

z=36

4 0
3 years ago
Need help on number 8
krok68 [10]
I know point a=1 But the others not sure

7 0
4 years ago
Read 2 more answers
Cassie and Mario are neighbors, and both have balconies in the shape of a rectangle. The dimensions of Cassie’s balcony are 5 me
Mrac [35]

Answer:

16

Step-by-step explanation:

8 0
3 years ago
How do you write 40% as a fraction in simplest form
NNADVOKAT [17]
40% as a fraction in simplest form would be 2/5. 
8 0
3 years ago
Read 2 more answers
What is the y-intercept of the line perpendicular to the line y = four thirdsx + 1 that includes the point (4, 1)?
avanturin [10]

Answer:

4

Step-by-step explanation:

We'll begin by calculating the slope of the equation. This is illustrated below:

y = 4/3x + 1

Comparing the above equation with:

y = mx + c

The slope (m) of line is 4/3.

Next, we shall determine the slope of the equation perpendicular to:

y = 4/3x + 1

This is illustrated below:

When two lines are perpendicular, their slope are related as:

m2 = – 1/m1

From the above, m1 = 4/3

m2 = –1 ÷ 4/3

m2 = –1 × 3/4

m2 = – 3/4

Next, we shall determine the equation passing through (4, 1). This is illustrated below:

y – y1 = m(x – x1)

y1 = 1

x1 = 4

m = – 3/4

y – y1 = m(x – x1)

y – 1 = –3/4 (x – 4)

y – 1 = –3/4x + 3

y = –3/4x + 3 + 1

y = –3/4x + 4

Comparing:

y = –3/4x + 4 with y = mx + c

The y-intercept, c is 4.

3 0
3 years ago
Read 2 more answers
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