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3 years ago

5t=24.5 what does t represent

Mathematics

2 answers:

Burka [1]3 years ago

6 0

T represents 4.9 in the problem

T = 4.9

Inessa [10]3 years ago

4 0

Divide both sides by 5 to get t by itself, then you have your answer

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Given: f(x)=x^(2)-3 and g(x)=x+1 the composite function g*f is

Ivenika [448]

Answer:

Step-by-step explanation:

I'm assuming g*f means g times f, so you want to multiply the two functions together.

(x² - 3)(x + 1) Since the product is 2 binomials, use FOIL

= x²(x) + x²(1) - 3(x) - 3(1)

which simplifies to

8 0

3 years ago

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Find the max and min values of f(x,y,z)=x+y-z on the sphere x^2+y^2+z^2=81

Anton [14]

Using Lagrange multipliers, we have the Lagrangian

$L(x,y,z,\lambda)=x+y-z+\lambda(x^2+y^2+z^2-81)$

with partial derivatives (set equal to 0)

$L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}$
$L_y=1+2\lambda y=0\implies y=-\dfrac1{2\lambda}$
$L_z=-1+2\lambda z=0\implies z=\dfrac1{2\lambda}$
$L_\lambda=x^2+y^2+z^2-81=0\implies x^2+y^2+z^2=81$

Substituting the first three equations into the fourth allows us to solve for $\lambda$ :

$x^2+y^2+z^2=\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}+\dfrac1{4\lambda^2}=81\implies\lambda=\pm\dfrac1{6\sqrt3}$

For each possible value of $\lambda$ , we get two corresponding critical points at $(\mp3\sqrt3,\mp3\sqrt3,\pm3\sqrt3)$ .

At these points, respectively, we get a maximum value of $f(3\sqrt3,3\sqrt3,-3\sqrt3)=9\sqrt3$ and a minimum value of $f(-3\sqrt3,-3\sqrt3,3\sqrt3)=-9\sqrt3$ .

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3 years ago

Round 378,903.97 to the nearest thousand

Mamont248 [21]

Answer:

Step-by-step explanation:

378,903,970.

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3 years ago

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One bag of rice that weighs 4.5 pounds will have enough rice if a recipe calls for 60 ounces of rice. (1 pound = 16 ounces)

krek1111 [17]

the bag of rice weighs 4.5 pounds

Multiply 4.5 with 16 oz (as 1 lb = 16 oz)

4.5 x 16 = 72.

The bag of rice has 72 oz of rice inside.

The recipe only needs 60 oz of rice ∴ True, you will have enough, with 12 oz left over.

hope this helps

8 0

3 years ago

In a quadrilateral ABCD, AB || DC and AD || BC. Find the perimeter of triangle COD if the diagonals of the quadrilateral interse

aalyn [17]

Draw a diagram as shown below.

The diagonals are equal in length. Because AB || DC and AD || BC, the quadrilateral is a square.

Because the diagonals bisect each other at O, therefore
DO = BO = 10.
Likewise,
AO = CO = 10

Because AB = 13, therefore DC = 13.
The perimeter of ΔCOD is CO + CD + DO = 10 + 13 + 10 = 33 in

Answer: 33 in

4 0

3 years ago