okay Is the answer c ??

Answer:

See Explanation

Step-by-step explanation:

Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.

So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.

[tex]\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}[/tex]

[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]

[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]

Squaring both sides:

[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]

[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]

[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]

[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]

[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]

[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]

[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]

Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.

[tex]\therefore \sqrt 5 [/tex] is also rational.

But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.

Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.

[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.

Answer:

In triangle QNP and QNM

3.QN=QN[common side]

so triangle QNP and QNM is CONGRUENT by A.A .S axiom.

Answer:

1. (its already filled out)

2. angle MQN = angle PQN

3. NQ=NQ

4. angle side angle

Step-by-step explanation:

checked on khan academy :)

Answer: (-3,-6)

Step-by-step explanation:

Answer:

13.5 inches

Step-by-step explanation:

after 5 hours = 6 inches

11 - 5 = 6 hours to go

1.25 x 6 = 7.5 inches

7.5 + 6 = 13.5 inches

Answer:

he swims 1/2 miles in 1/4 hours

multiply both them by 4

we get

2 miles in 1 hour

Answer:

The width would be 86cm

Step-by-step explanation:

Perimeter is (Width*2) +(Length*2)

Length is 96, multiply by 2 : 96*2 = 192

Subtract this from the total perimeter (364-192 = 172)

Divide this by 2 to get 1 width value (172/2 = 86)

86 cm

Answer:

I believe you're right good luck

Answer: 15

Step-by-step explanation:

no

Answer:

15

Step-by-step explanation:

ITS RIGHT

Answer:

binomial

Step-by-step explanation:

there are two terms, "11x" and "20"

Answer:

the answer is 17a

Step-by-step explanation:

I took the quiz

Answer:

the interest earned amount is $1,114.251

Step-by-step explanation:

The computation of the interest earned is shown below:

But before that the future value is

= Present value × (1 + rate of interest)^number of years

= $7,250 × (1 + 0.10)^1.5

= $7,250 × 1.10^1.5

= $8,634.251

Now the interets earned is

= $8,634.251 - $7,250

= $1,114.251

Hence, the interest earned amount is $1,114.251

Answer:

B. Larger groups tended to take less time to solve the puzzle

Step-by-step explanation:

If you look at the graph, you can see that farther to the left the dots are higher, which means that the number of people are taking longer than the people to the right of the graph whose dots are lower, representing that it takes less time for the larger groups to solve the puzzle.

hope this helps youu

Answer:

9

Step-by-step explanation:

You can say this because 3*3 is 9.

Answer:

3 squared 13 took the test

Step-by-step explanation:

Answer:

3 squared 13

reason:

you should know this if you tooktn notes

Answer:

95tan35°

Step-by-step explanation:

Find the diagram attached

Given the following

Adjacent = 95m

Opposite = height of the tower

Angle of elevation  = 35degrees

Using SOH CAH TOA

tan theta = opp/adj

Tan 35 = h/95

Cross multiply

95 * tan 35 = h

95tan35 = h

Swap

h = 95tan35

Hence then the height of the tower in terms of trigonometric ratios is 95tan35°

Answer:

60 in³

Step-by-step explanation:

In a triangle

Area of the triangle

= 1/2 * base * height

= 1/2 * 4 * 3

= 6 in²

Height of the prism = 10 in

Volume of the prism

= Area of base * height

= 6 * 10

= 60 in³

Hope it will help :)❤

Answer:

78%

Step-by-step explanation:

Ok to solve this we can write this as

80 = [tex]\frac{73+82+85+83+x}{5}[/tex]

We put the equation like this because were finding out how much he needs to get on his 5th test x in order to get a 80%

Your grade is the average of all of your scores hence the divided by 5

We next multiply both sides of the equation by 5 to get

400 = 72+82+85+83+x

400=  322+ x

78 = x

He must get a 78% minimum on his next test to get 80%

Hope that helps!

Answer:

3/8

Step-by-step explanation:

since you can't have 1.5/4, which was how much he Josh put on each day, you have to multiply the denominator and the numerator for a more complex fraction. So 1.5/4 x 2 for both = 3/8.

Answer:

[tex]\sqrt{180}[/tex] and [tex]6\sqrt{5}[/tex]

Step-by-step explanation:

The easiest way to solve this problem is to look at all the simplified radicals on the right. Then un-simplify them by bringing the coefficients under the radical. If the radican (value under the radical) of the radical on the right is equal to the radican on the left, then the two radicals are equal.

To un-simplify a radical, one will square the coefficients and then multiply that value by the current radican of expression. The result is the un-simplified value of the radical.

A.

[tex]3\sqrt{15}\\\\= \sqrt{15*(3)^2}\\\\=\sqrt{15*9}\\\\=\sqrt{135}[/tex]

[tex]\sqrt{45} \neq \sqrt{135}\\\sqrt{45} \neq 3\sqrt{15}[/tex]

B.

[tex]3\sqrt{5}\\\\=\sqrt{5*(3)^2}\\\\=\sqrt{5*9}\\\\=\sqrt{45}[/tex]

[tex]\sqrt{75} \neq \sqrt{45}\\\sqrt{75} \neq 3\sqrt{5}[/tex]

C.

[tex]9\sqrt{6}\\\\=\sqrt{6*(9)^2}\\\\=\sqrt{6*81}\\\\=\sqrt{486}[/tex]

[tex]\sqrt{54} \neq \sqrt{486}\\\sqrt{54} \neq 9\sqrt{6}[/tex]

D.

[tex]6\sqrt{5}\\\\=\sqrt{5*(6)^2}\\\\=\sqrt{5*36}\\\\=\sqrt{180}[/tex]

[tex]\sqrt{180}=\sqrt{180}\\\sqrt{180}=6\sqrt{5}[/tex]

Answer:

4 pizzas

Step-by-step explanation:

Equation:

12x + 7 = 55

12x = 55 - 7

12x = 48

x = 4

Answer:

a H I o p=0.80 vs. Ha less than 0.80, where P equals the true proportion of All American adults who do not have an emergency fund

The appropriate hypotheses for this test are:

H0: p ≥ 0.80

Ha: p < 0.80

We have,

The appropriate hypotheses for this test are:

Null Hypothesis (H0):

The true proportion of Americans who do not have an emergency fund is equal to or greater than 80%.

Alternative Hypothesis (Ha):

The true proportion of Americans who do not have an emergency fund is less than 80%.

Symbolically, the hypotheses can be represented as:

H0: p ≥ 0.80

Ha: p < 0.80

Where p is the true proportion of American adults who do not have an emergency fund.

To determine whether the data provide convincing evidence against the null hypothesis,

We can conduct a hypothesis test using a significance level (alpha) of 0.05.

If the p-value is less than alpha, we can reject the null hypothesis and conclude that the true proportion of Americans who do not have an emergency fund is less than 80%.

Thus,

H0: p ≥ 0.80

Ha: p < 0.80 are the appropriate hypotheses for this test.

Learn more about hypotheses here:

https://brainly.com/question/28331914

#SPJ2

Answer:

3/10

Step-by-step explanation:

4/15+x=17/30

x=17/30-4/15

x=17/30-8/30

x=9/30

simplify

x=3/10

Answer:

Yellow

Step-by-step explanation:

Answer:

1437.33 cm^3 , 75.4 km^3

Step-by-step explanation:

1.

V = (lwh)/3

V = (14 x 14 x 22)

V = 1437.33 cm^3

2.

V = [tex]\pi r^{2} \frac{h}{3}[/tex]

V= [tex]\pi 3^{2} \frac{8}{3}[/tex]

V = 75.4 km^3

Answer:

1

Step-by-step explanation:

Because of probability

Answer:

3 feet

Step-by-step explanation:

the volume of the aquarium is V= Lx wx H  

it is as of now given that V=11.25 cubic feet, so 11.25=LxWxH  

H tallness and it is the aquarium's profundity  

H=11.25/L xW= 11.25/2.5x1.5= 3 feet

Answer:

The depth is 3 ft

Step-by-step explanation:

The equation for volume is V = length * height * depth

change the equation for depth

depth = volume / (length * height)

fill the equation and solve

depth = 11.35 / (2.8 * 1.5)

depth = 11.35 / 4.2

depth = 2.70238095 rounded to 3