All categories

3 years ago

....................

Mathematics

2 answers:

Murljashka [212]3 years ago

4 0

Answer:

Equal to each other

Step-by-step explanation:

I hope that helped!

masya89 [10]3 years ago

3 0

Answer: equal to each other (hope I helped out) :))

You might be interested in

The equation V = 16300 (0.94)^t represents the value (in dollars) of a car t years after its purchase. Use this equation to comp

Dafna1 [17]

Solution:

Given:

$V=16300(0.94)^t$

The value of a car after t - years will depreciate.

Hence, the equation given represents the value after depreciation over t-years.

To get the rate, we compare the equation with the depreciation formula.

$\begin{gathered} A=P(1-r)^t \\ \text{where;} \\ P\text{ is the original value} \\ r\text{ is the rate} \\ t\text{ is the time } \end{gathered}$

Hence,

$\begin{gathered} V=16300(0.94)^t \\ A=P(1-r)^t \\ \\ \text{Comparing both equations,} \\ P=16300 \\ 1-r=0.94 \\ 1-0.94=r \\ r=0.06 \\ To\text{ percentage,} \\ r=0.06\times100=6\text{ \%} \\ \\ \text{Hence, } \\ P\text{ is the purchase price} \\ r\text{ is the rate} \end{gathered}$

Therefore, the value of this car is decreasing at a rate of 6%. The purchase price of the car was $16,300.

5 0

10 months ago

A special liquid is held in a tank described as (x 2 + y 2 ) ≤ z ≤ 1 in a Cartesian coordinate system. Assume that the density o

vivado [14]

Since $\rho=\dfrac mV$ (density = mass/volume), we can get the mass/weight of the liquid by integrating the density $\rho(x,y,z)$ over the interior of the tank. This is done with the integral

$\displaystyle\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{x^2+y^2}^1(2-z^2)\,\mathrm dz\,\mathrm dy\,\mathrm dx$

which is more readily computed in cylindrical coordinates as

$\displaystyle\int_0^{2\pi}\int_0^1\int_{r^2}^1(2-z^2)r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{3\pi}4}$

7 0

3 years ago

Find the distribution of responses about whether there was broken glass at the accident for the subjects in this study using rel

Lemur [1.5K]

Answer:

Probability of having broken glass = 0.1933

Probability of not having broken glass = 0.8067

Step-by-step explanation:

The Treatment table in the file attached to the given question is written out and completed below;

Treatment

Response Smashed into Hit Control Total

Yes 16 7 6 29

No 34 43 44 121

Total: 50 50 50 150

Using relative frequencies,

the distribution of responses about whether there was broken glass at the accident for the subjects in this study can be computed as follows:

Probability of having broken glass = $\dfrac{29}{150}$

Probability of having broken glass = 0.1933

Probability of not having broken glass = $\dfrac{121}{150 }$

Probability of not having broken glass = 0.8067

5 0

3 years ago

the length of one of the diagonals of a quadrilateral is 10 cm and the particular drawn from the opposite vertices to this diago

loris [4]

Answer:

Therefore the area of the quadrilateral =35 cm²

Step-by-step explanation:

Given, the length of one of diagonal of quadrilateral is 10 cm and perpendicular drawn from the opposite vertices to this diagonal are the length of 2.8 cm and 4.2 cm.

A diagonal divided a quadrilateral into two triangle.

Therefore the area of the quadrilateral

= sum of the area of the triangles

$=(\frac{1}{2}\times 10\times 2.8+ \frac{1}{2}\times 10\times 4.2)$ cm² [ area of a triangle $= \frac{1}{2}\times base\times height$ ]

=35 cm²

3 0

3 years ago

The elevation of a building's basement is -12 feet. Given the building is square shaped and the total length of the building fro

alina1380 [7]

Picture it in your head
at -12 feet elevation (12 feet below ground level), the basement starts
62 feet from that level is the roof
so count 62 units up from -12 and get 50 feet above ground level (60-12=50)

answer is 50 feet above ground level

8 0

3 years ago