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WITCHER [35]
3 years ago
14

Frank started practicing his trumpet at 4:30 pm and finished at 6:00 pm. How long did he practice?

Mathematics
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

D

Step-by-step explanation:

4:30 pm can be also expressed as 16:30, while 6:00 pm can be expressed as 18:00. The difference between them is 01:30, therefore the answer is D, 1 hour and 30 minutes.

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16x what equals -112
fiasKO [112]

Answer:

-7

Step-by-step explanation:

16x=-112

x=-112/16

x=-7

PLS GIVE BRAINLIEST

5 0
2 years ago
When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,
kondaur [170]

Answer:

a)

The combined resistance of a circuit consisting of two resistors in parallel is given by:

\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}

where

R is the combined resistance

r_1, r_2 are the two resistors

We can re-write the expression as follows:

\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}

Or

R=\frac{r_1 r_2}{r_1+r_2}

In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.

The derivative of R with respect to r1 is:

\frac{dR}{dr_1}=\frac{r_2(r_1+r_2)-1(r_1r_2)}{(r_1+r_2)^2}=\frac{r_2^2}{(r_1+r_2)^2}

We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.

b)

To solve this part, we use again the expression for R written in part a:

R=\frac{r_1 r_2}{r_1+r_2}

We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,

r_1>0

So the interval of allowed values for r1 is

0

From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval

a ≤ r1 ≤ b

The maximum of the function (R) will occur at the maximum value of r1 in this interval: so, at

r_1=b

6 0
3 years ago
Solve by factoring: x^4-12x^2= 64
USPshnik [31]
The final solution is all the values that make <span><span><span><span><span>(<span>x+4</span>)</span><span>(<span>x<span>−4</span></span>)</span></span><span>(<span><span>x2</span>+4</span>)</span></span>=0</span><span><span><span><span>x+4</span>⁢<span>x<span>-4</span></span></span>⁢<span><span>x2</span>+4</span></span>=0</span></span> true.<span>x=<span>−4</span>,4,<span>2i</span>,<span><span>−2</span><span>i</span></span></span>
7 0
3 years ago
Read 2 more answers
Equivalent Ratios: 300:800 = 30:
Dima020 [189]

Answer:

30:80

Step-by-step explanation:

Because 300 divided by ten is 30 so 800 divided by ten is 80 :)

4 0
2 years ago
Find xy if x + y=3, x^2 + y^2 = 5
Vesna [10]

Answer:

mark me

Step-by-step explanation:

x+y=3

x=3-y

putting the value of x

in this

x²+y²=5

(3-y) ²+y²=5

9-6y+y²+y²=5

2y²-6y+9-5=0

2y²-6y+4=0

2y²-4y-2y+4=0

2y(y-2)-2(y-2)=0

(2y-2) (y-2) =0

2y-2=0 or y-2=0

y=1 or y=2

so x=2 or 1

so x×y=2×1 or 1×2=2

I HOPE THIS WILL HELP YOU MARK ME BRAINLIEST

8 0
2 years ago
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