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3 years ago

8t-10=5+3tsolve and answer thank you

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

8 0

The answer would be t= 3.

bixtya [17]3 years ago

5 0

First you start by getting t on one side, so subtract 3t from both sides. 5t-10=5
then add 10 to both sides to get t by itself. so 5t = 15 Then finish by diving it all by 5. and you get t = 3

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75% increase followed by 50% decrease is it greater than to original

IceJOKER [234]

Answer:

Set original amount = x

After a 75% increase, it would become

x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x

After a 50% decrease, it would become

1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = $\frac{7}{8} x$

Because $\frac{7}{8} x$ is less than x, the new amount would be less than the original.

7 0

3 years ago

Tony is making small bags of bird sees from a larger bag that weighs 11.16 pounds. If he puts the same amount of seed in each of

Margarita [4]

Tony is dividing the larger bag of bird seeds into 6 smaller bags equally. So, we will divide by 6.

11.16 / 6 = 1.86

So, each smaller bag of bird seeds will weigh 1.86.

4 0

3 years ago

A can contains 11/12 pound of vegetables. One serving of these vegetables weighs 1/2 pound. What is the total number of servings

EleoNora [17]

11/12 is less than one.

Two servings would be 1/2 + 1/2 pounds, so exactly one pound.

It means that there is only one serving in a can, because there is not enough reminder for a second service

6 0

4 years ago

3x+4y=24. What is the smallest integer solution for x+y?

galben [10]

lets solve for x, and then we'll find an integer solution:
3x + 4y = 24
3x = 24 - 4y
x = (24 - 4y)/3
so the right side has to be an integer, or 24 - 4y has to be a multiple of 3:
24 - 4y
then, y has to be 3, see:
x = (24 - 4y)/3
x = (24 - 4(3))/3
x = (24 - 12)/3
x = (12)/3
x = 4
then, we have x = 4 and y = 3

6 0

3 years ago

Read 2 more answers

(a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the gradient vector, that is, in

Sophie [7]

Answer:

Step-by-step explanation:

$\text{Show that a differentiable function f decreases most rapidly at x in the }$

$\text{direction opposite the gradient vector, that is, in the direction of}$ $-\bigtriangledown f(x)$ $\text{. Let}\ \theta \ \text{be the angle between} \bigtriangledown f(x) \ \text{and unit vector u. Then } D_u f = \mathbf{|\bigtriangledown f| \ cos \ \theta }}$

$\text{Since the minimum value of} \ \ \mathbf{cos \ \theta} \ \ is \mathbf{-1} \ \text{occuring \ for \ 0} \le \ \theta \ < 2x, \\ \\ when \ \theta = \mathbf{\pi} , \text{the mnimum value of} \ D_uf \ is} -|\bigtriangledown f|, \text{occuring when the direction of u is } \\ \\ \ \mathbf{the \ opposite \ of} \ \text{the direction of } \ \bigtriangledown f (assuming \ \bigtriangledown f\ is \ not \ zero)$

b) $\text{From part A:}$

$If \ f(x,y) = x^4y -x^2y^2 \ \ decreases \ fastest \ at \ the \point \ (2,-5)\\ \\ F(x,y) = x^4y -x^2y^3 \\ \\ f_x = \dfrac{df}{dx}= \dfrac{d}{dx}(x^4y-x^2y^3) \\ \\ f_x = \dfrac{df}{dx}= y4x^3 -2y^3x \\ \\ For(2,-5) \\ \\ f_x = (-5)4(2)^3 -2(-5)^3(2) \\ \\ \mathbf{ f_x = 340}$

$However; f_y = \dfrac{df}{dy} = \dfrac{d}{dy}(x^4y - x^2y^3) \\ \\ f_y = x^4 -3x^2y^2 \\ \\ Now, for (2, -5)\\ \\f_y = (2)^4 -3(2)^2(-5)^2 \\ \\ f_y = -284$

$So; \bigtriangledown = < 340,-284> \text{this is the direction of fastest decrease}$

6 0

3 years ago