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2 years ago

Plz help with iready

Mathematics

1 answer:

Iteru [2.4K]2 years ago

8 0

Answer:

118

Step-by-step explanation:

150+16%=174

174 - 32% = 118.32

118.32=118(to nearest whole number)

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The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is

iren [92.7K]

Answer:

The temperature is increasing at the rate of 6.5 degree celcius per second.

Step-by-step explanation:

We are given the following information:

Temperature of a point is given by T(x,y)

After t seconds a bug reaches a point $x = \sqrt{2 + t}, y = 3 + \frac{1}{2}t$

At t = 2, x = 2, y = 4

The temperature function satisfies:

$T_x(2,4) = 8\\T_y(2,4) = 9$

We have to find:

$\displaystyle\frac{dT}{dt} = T_t(x(t), y(t))\\\\= T_x(x(t),y(t)).x'(t) + T_y(x(t),y(t)).y'(t) \\\\= T_x(x(t),y(t)).\displaystyle\frac{1}{2\sqrt{(t+2)}} + T_y(x(t),y(t)).\displaystyle\frac{1}{2} \\\\\displaystyle\frac{dT(x,y)}{dt}_{at~t=2} = \displaystyle\frac{dT(2,4)}{dt}_{at~t=2} = 8.\displaystyle\frac{1}{4} + 9.\displaystyle\frac{1}{2} = 2 + 4.5 = 6.5$

Hence, the temperature is increasing at the rate of 6.5 degree celcius per second.

3 0

4 years ago

If the terminal side of angle 0 in standard position intersects the unit circle at p (3/5,4/5). Find cos0 and sin0

Rina8888 [55]

Answer:

$\sin \theta = \frac{4}{5}$ , $\cos \theta = \frac{3}{5}$

Step-by-step explanation:

Let be $P(x,y) = \left(\frac{3}{5}, \frac{4}{5} \right)$ the end of the terminal side of angle $\theta$ in standard position, that is, an angle measured with respect to +x semiaxis. By Trigonometry, we know that the sine and the cosine of the angle are, respectively:

$\sin \theta = \frac{y}{\sqrt{x^{2} + y^{2}}}$ (1)

$\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}$ (2)

If we know that $x = \frac{3}{5}$ and $y = \frac{4}{5}$ , then the sine and the cosine of the angle are:

$\sin \theta = \frac{\frac{4}{5} }{\sqrt{\left(\frac{3}{5} \right)^{2}+\left(\frac{4}{5} \right)^{2}}}$

$\sin \theta = \frac{4}{5}$

$\cos \theta = \frac{\frac{3}{5} }{\sqrt{\left(\frac{3}{5} \right)^{2}+\left(\frac{4}{5} \right)^{2}}}$

$\cos \theta = \frac{3}{5}$

3 0

3 years ago

Using the table find the value of y when x=2<br>

Tju [1.3M]

Answer:

y = 8 when x = 2

Step-by-step explanation:

y = 4x

6 0

3 years ago

How many liters of water must Sharon add to 2 liters of a sugar and water solution that is 36% sugar to create a solution that i

Dahasolnce [82]

The amount of sugar $x$ in the starting solution contributes to a 36% concentration, so we have

$\dfrac x2=0.36\implies x=0.64$

units of sugar in the solution.

Into this solution, Sharon wants to pour $y$ liters of water to obtain a smaller concentration of sugar in the overall solution:

$\dfrac{0.64}{2+y}=0.12\implies\dfrac{16}3=2+y\implies y=\dfrac{10}3\approx3.33$

So Sharon needs to add $\dfrac{10}3$ liters of water to the solution to get the desired concentration.

3 0

3 years ago

What is the value of a if the line passes through (a,7) and (1,a) has a slope of -5/9

ASHA 777 [7]

Y=-5/9x + b
Substitute the points in the equation to give you two equations.
1. 7=-5a/9 + b
2. a= -5/9(1) + b
Then solve using either substitution or elimination.

6 0

4 years ago