All categories

1 year ago

Rationalise 1/√7-√3PLEASE GIVE ANSWER IT'S URGENT

1 answer:

5 0

$\dfrac 1{\sqrt 7- \sqrt 3}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left ( \sqrt 7 -\sqrt 3\right) \left( \sqrt 7 + \sqrt 3\right)}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left(\sqrt 7 \right)^2 - \left(\sqrt 3 \right)^2}\\ \\\\=\dfrac{\sqrt 7 + \sqrt 3}{7-3}\\\\\\=\dfrac 14\left(\sqrt 7 + \sqrt 3\right)$

You might be interested in

I need help what is -0.5 _ -0.2

Darya [45]

-0.5 < -0.2,
because I need more characters

5 0

2 years ago

Standard form of two hundred ten million sixty four thousand fifty

cluponka [151]

210,064,000,050 is standard form

6 0

2 years ago

Please help me with the following questions. Thanks in advance!!

Orlov [11]

Answer:

Step-by-step explanation:

Eight

590 = 1800 e^(-0.4t) Divide by 1800

0.32778 = e^(-0.4t) Put the value for e in the denominator.

0.32778 = 1 / e^(0.4t) Notice the sign's gone. Multiply both sides by e^(0.4t)

0.32778 *e^(0.4t) = 1 Divide by 0.32778

e^(0.4t) = 3.0508 Take the natural log of both sides.

0.4t = 1.11542 Divide both sides by 0.4

t = 2.78855

You should put this in the original equation to see if it checks. It does.

=============================

Nine

3^(3 - 3x) + 6 = 42 Subtract 6 from both sides

3^(3 - 3x) = 36 Take the log of both sides.

(3 - 3x) ln(3) = ln 36

(3 - 3x) *1.098612 = 3.58352 Divide by 1.098612

3 - 3x = 3.26186 Subtract 3 from both sides

- 3x = 0.26186 Divide by - 3

x = - 0.087287

4 0

3 years ago

In the flowering plant, white flowers (B) are dominant over red flowers (b), and short plants (E) are dominant over tall flower

lutik1710 [3]

<u>Question Completion</u>

(a)What is your null hypothesis?

(b)What is your expected phenotypic ratio based on Mendelian inheritance?

(c)Calculate the expected number of flowers you should have gotten based on the Mendelian inheritance. Then calculate a chi-square value, degrees of freedom, and a p-value.

Chi-square statistic: _____
Degrees of freedom (# phenotypes -1):
P-value:

(d)Interpret your results. Do you reject it or fail to reject your null hypothesis (please restate the null)?

Answer:

(a) $H_0:$The given data fit the predicted phenotype$

(b)9:3:3:1

(c)

Chi-square statistic: 3.8914
Degrees of freedom (# phenotypes -1) =3
P-value: 0.2734

(d)We fail to reject the null hypothesis.

Step-by-step explanation:

In the flowering plant, white flowers (B) are dominant over red flowers (b), and short plants (E) are dominant over tall flowers (e). An F2 generation was created by crossing two F1 individuals (each BbEe).

(a)The null hypothesis is:

$H_0:$The given data fit the predicted phenotype$

(b)The gametes are BE, Be, bE and be.

The offsprings are presented in the table below:

$\left|\begin{array}{c|cccc}&BE&Be&bE&be\\--&--&--&--&--\\BE&BE&BE&BE&BE\\Be&BE&Be&BE&Be\\bE&BE&BE&bE&bE\\be&BE&Be&bE&be\end{array}\right|$

The expected phenotypic ratio based on Mendelian inheritance

BE:Be:bE:be=9:3:3:1

(c)

$\left|\begin{array}{c|c|c|c|c|c}$Phenotype&Observed&$Expected&O-E&(O-E)^2&\dfrac{(O-E)^2}{E} \\-----&--&--&--&--&--\\$White short(BE)&206&\frac{9}{16}*404 \approx 227 &-21&441&1.9427\\$Red, short(bE)&83&\frac{3}{16}*404 \approx 78 &5&25&0.3205\\$White, tall(Be)&85&\frac{3}{16}*404 \approx 78 &7&49&0.6282\\$Red, tall(be)&30&\frac{1}{16}*404 \approx 25 &5&25&1\\-----&--&--&--&--&--\\$Total&404&--&--&--&3.8914\end{array}\right|$

Therefore:

Chi-square statistic: 3.8914
Degrees of freedom (# phenotypes -1): 4-1 =3
P-value: 0.2734

(d) Our null hypothesis is:

$H_0:$The given data fit the predicted phenotype$

Since p>0.05, the given data fit the predicted phenotypic ratio.

We, therefore, fail to reject the null hypothesis.

The difference in the observed and expected are sosmall that they can be attributed to random chance.

8 0

3 years ago

Please help with Volume

Archy [21]

Given:

Length of the cuboid tank = 4 m

Breadth = 2.5 m

Height = 2.4 m

One third of the tank is filled with water.

1 cubic meter = 1000 liters.

To find:

The quantity of the water in the tank.

Solution:

Volume of a cuboid is:

$V=l\times b\times h$

Where, l is length, b is breadth and h is the height.

The volume of the tank is :

$V=4\times 2.5\times 2.4$

$V=24$

Volume of tank is 24 cubic meter.

One third of the tank is filled with water. So, the volume of the water is

$\dfrac{24}{3}=8$

The volume of water is 8 cubic meters.

We have,

1 cubic meter = 1000 liters.

8 cubic meter = 8000 liters.

Therefore, the quantity of the water in the tank is 8000 liters.

5 0

2 years ago

Rationalise 1/√7-√3PLEASE GIVE ANSWER IT'S URGENT ​

Rationalise 1/√7-√3PLEASE GIVE ANSWER IT'S URGENT