T increased by 55 ( Pls help )

The temperature T in degrees Celsius of a liquid t minutes after heating is given by the formula T=8√t. When is the temperature

Advocard [28]

T=8√t
T=temperature
t=time in minutes.
If T=48, we have to calculate the time.

48=8√t
(48)²=(8√t)²
2304=64t
t=2304 / 64=36

answer: 48 degrees Celsius will be reached in 36 minutes.

3 0

3 years ago

Question below..................

morpeh [17]

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

7 0

2 years ago

Triangle $ABC$ has a right angle at $B$. Legs $\overline{AB}$ and $\overline{CB}$ are extended past point $B$ to points $D$ and

Lisa [10]

Answer:

Given :

ABC is a right triangle in which ∠ABC = 90°,

Also, Legs AB and CB are extended past point B to points D and E,

Such that,

$\angle EAC = \angle ACD = 90^{\circ}$

To prove :

$EB\times BD=AB\times BC$

Proof :

In triangles AEC and EBA,

∠EAC= ∠ABE ( right angles )

∠CEA = ∠AEB ( common angles )

By AA similarity postulate,

$\triangle AEC \sim \triangle EBA$ ,

Similarly,

$\triangle AEC \sim \triangle ABC$

$\implies\triangle EBA\sim \triangle ABC-----(1)$

Now, In triangles ADC and CBD,

∠ACD = ∠CBD ( right angles )

∠ADC= ∠BDC ( common angles )

By AA similarity postulate,

$\triangle ADC \sim \triangle CBD$ ,

Similarly,

$\triangle ADC \sim \triangle ABC$

$\implies \triangle CBD\sim \triangle ABC-----(2)$

From equations (1) and (2),

$\triangle EBA\sim \triangle CBD$

The corresponding sides of similar triangles are in same proportion,

$\frac{EB}{BC}=\frac{AB}{BD}$

$\implies EB\times BD=AB\times BC$

Hence, proved....

5 0

3 years ago

Number sequence <br><br>write the correct number in between to complete the number sequence.

Alborosie

Answer:

1. 15, 13

2. 12, 6

3. 130,135

4. 44, 41

5. 42, 52

Step-by-step explanation:

1. the answer is 15,13 because the sequence goes with minus 2

2. the answer is 12,6 because the sequence goes with divided by 2

3. the answer is 130,135 because the sequence goes with plus 5

4. the answer is 44, 41 because the sequence goes with minus 3

5. the answer is 42,52 because the sequence goes with plus 10

8 0

3 years ago

In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsibl

ziro4ka [17]

Answer:

The hippocampus volumes in the alcoholic adolescents are less than the normal volume of 9.02 cm³

Step-by-step explanation:

Let x= the hippocampus volumes in the alcoholic adolescents

We'll conduct a hypothesis test at the 0.01 significance level with

Null hypothesis: x = 9.02 cm³

Alternate hypothesis: x < 9.02 cm³

A sample of 13 alcoholic adolescents gives the parameters

size=N= 13

mean=M= 8.12 cm³

standard deviation= s= 0.8 cm³

According to the sample, with 99% confidence, t statistic for the value X=9.02 can be found using the formula:

t= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

M is the sample mean (8.12)
s is the standard deviation of the sample (0.8)
N is the sample size (13)

If we put these numbers in the formula:

t= $\frac{9.02-8.12}{\frac{0.8}{\sqrt{13} } }$ =4.056

One tailed critical value for the sample with 12 degrees of freedom (sample size-1) in 99% confidence level is 2.681.

Since t value (4.056) is bigger than the critical value, we fail to reject the alternate hypothesis, therefore reject the null hypothesis and accept alternate hypothesis.

5 0

3 years ago