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2 years ago

Make t the subject of the formula p = 4t+1/2-t

Mathematics

1 answer:

alex41 [277]2 years ago

8 0

Answer:

t = (p - 1/2)/3

Step-by-step explanation:

p = 4t + 1/2 - t

combine like terms:

p = 3t + 1/2

subtract 1/2 from each side of the equation:

3t = p - 1/2

divide both sides by 3:

t = (p - 1/2)/3

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What is the solution to 3/8 x 1/8?

babymother [125]

Answer:

3/64

Step-by-step explanation:

Multiply straight across the numerators and then denominators

3 1 3

------- X ---------- = ---------

8 8 64

4 0

3 years ago

Read 2 more answers

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

Can someone help me find the slope

julia-pushkina [17]

The slope is rise over run so it would be -1/3

4 0

3 years ago

If x varies inversely as y and x=12 when y=9, find x when y=54

beks73 [17]

Answer:

x = 72

Step-by-step explanation:

We set the two equal to each other

x = 12/y = 9 is equal to x/y = 54.

In order for 9 to get to 54, you have to multiply it by 6. Since you multiplied the denominator with 6, you have to do the same with the numerator. 12 times 6 is 72.

x = 72

3 0

3 years ago

Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like re

boyakko [2]

First calculate that numeric value. It cannot be done immediately without calculations.

if 85% of studends liked mystery that means that 100% - 85% = 15% didnt like.

Those 15% are 30 that were given in text. Now we can calculate this using proportion:

15% 30 students
85% x students

we use cross multiplication:
15*x = 30*85
x = 30*85/15
x = 170

Answer is 170

8 0

3 years ago

Make t the subject of the formula p = 4t+1/2-t​

Make t the subject of the formula p = 4t+1/2-t