Rationalize 1 plus root 2 divided by 1 minus root 2

Answer:

Explanation:

11 - x < 7

Insert 5 into the equation

11 - 5 < 7

Simplify

6 < 7

Insert 3 into the equation

11 - 3 < 7

Simplify

8 < 7

- PacificNorthwest

Answer:

x=5 is the correct answer

Step-by-step explanation:

First we start off to see if x=3 could work (put the x value in)

11-3<7

(11-3=8)

8<7   This is false

Now lets try the other one-

11-5<7

(11-5=6)

6<7

The value x=5 is the correct answer

P.S If you don't mind, could I have brainlest? (if you think my answer is the best)

Answer:

huh?

Step-by-step explanation:

If D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.

A mathematical comparison of two numbers is known as proportion. If two sets of given numbers increase or decrease in the same ratio, the ratios are said to be directly proportional to each other, according to proportion.

Given that D varies jointly with w and p. Then it can be written as

D ∝ w × p ...(1)

Again D varies inversely with u.

Then, D ∝ 1/u ...(2)

From (1) and (2), D ∝ (wp)/u ...(3)

We can take k as the constant of proportionality.

So, (3) becomes, D = k(wp/u) = (kwp)/u

Therefore, if D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.

Learn more about proportionality here -

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Answer:

Step-by-step explanation:

Let the monthly rent be x.

Then we have:

Monthly rent is $2000

Answer:

the answer to your question is $2000

Answer:

Any numbers 477 to 597

I could pick 500 i mean its greater than 476 and less that 598.

Most likely I would pick 597 because its close.

Answer:

34/5

Step-by-step explanation:

5/5 x 6 = 30/5 + 4/5 = 34/5

1 < 34/5

Company B costs most per window

Step by step:

company a = 25x + 50

company b = 40x + 15

company c = 35x + 25

Answer:

The lowest score on the final exam that would qualify a student for an​ A is 80.

The lowest score on the final exam that would qualify a student for a B is 74.68.

The lowest score on the final exam that would qualify a student for a C is 67.33.

The lowest score on the final exam that would qualify a student for a​ D is 62.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 71 and a standard deviation of 7.

This means that [tex]\mu = 71, \sigma = 7[/tex]

Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's.

This means that:

90th percentile and above: A

70th percentile and below 90th: B

30th percentile to the 70th percentile: C

10th percentile to the 30th: D

Lowest score for an A:

Top 10% receive A, which means that the lowest score that would qualify a student for an A is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*1.28[/tex]

[tex]X = 80[/tex]

The lowest score on the final exam that would qualify a student for an​ A is 80.

Lowest score for a B:

70th percentile, which is X when Z has a pvalue of 0.7, so X when Z = 0.525.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.525 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*0.525[/tex]

[tex]X = 74.68[/tex]

The lowest score on the final exam that would qualify a student for a B is 74.68.

Lowest score for a C:

30th percentile, which is X when Z has a pvalue of 0.3, so X when Z = -0.525.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.525 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*(-0.525)[/tex]

[tex]X = 67.33[/tex]

The lowest score on the final exam that would qualify a student for a C is 67.33.

Lowest score for a D:

10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*(-1.28)[/tex]

[tex]X = 62[/tex]

The lowest score on the final exam that would qualify a student for a​ D is 62.

Answer:

Parasitism

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

y-11=25-3y

y + 3y = 25 + 11

4y = 36

y = 36 / 4

y = 9

Hope it will help :)

Answer:

The answer is 12.  

Step-by-step explanation:

12 is the coefficient because it is the number multiplied by the variable p in the equation.

I hope this helps u! :D

2(3 + 3y) + y = 11

First, apply the distributive property:

2(3 + 3y) + y = 11

6 + 6y + y = 11

6 + 7y = 11

Substract 6 from both sides:

6 - 6 + 7y = 11 - 6

7y = 5

Divide both sides by 7:

[tex]\dfrac{7y}{7} = \dfrac{5}{7}[/tex]

[tex]\boxed{y = \dfrac{5}{7}}[/tex]

Answer:

Step-by-step explanation:

195613(1+.543)

195613(1.543)

301831

Answer: 1.41 seconds

Step-by-step explanation:

The problem gives the initial velocity by saying "dropped." This indicates a velocity of zero. Acceleration can also be found because the object is in free fall. It would experience the acceleration of gravity. We can use the kinematic equation:

[tex](y_f-y_i)=V_it+\frac{1}{2}at^2[/tex]

The velocity term completely cancels because the object was dropped with an initial velocity of 0.

[tex](18-50)=\frac{1}{2} (32.17)t^2\\[/tex]

[tex]-32=-16.085t^2\\t=\sqrt{1.989} =1.41s[/tex]

Answer:

[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]

[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]

Step-by-step explanation:

Given

[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]

Required

Solve:

[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]

Open bracket

[tex]-\frac{2}{3} - (-\frac{3}{4}) = -\frac{2}{3} +\frac{3}{4}[/tex]

Take LCM

[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{-8+9}{12}[/tex]

[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]

[tex]\frac{5}{6} + \frac{5}{12}[/tex]

Take LCM

[tex]\frac{5}{6} + \frac{5}{12} = \frac{10+5}{12}[/tex]

[tex]\frac{5}{6} + \frac{5}{12} = \frac{15}{12}[/tex]

Divide by 3/3

[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]

Answer:

The answer is x = 10

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

hoped this helped!

brainly, please?

Answer:

x = 10

Step-by-step explanation:

Step 1: Flip the equation.

3x−5=25

Step 2: Add 5 to both sides.

3x−5+5=25+5

3x=30

Step 3: Divide both sides by 3.

Answer:

1.8 gallons

SEE NOTE BELOW*

Step-by-step explanation:

2x10x16=320

2x20x10=400

400+320=720

720÷400=1.8 gallons

NOTE* This would be painting the four walls.  If you include the floor and ceiling:

2x16x20=640

720+640=1360

1360÷400=3.4 gallons

The least amount of paint needed to paint the walls of a room in the shape of a rectangular prism is 1.8 gallons (2 gallons approx).

Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.

The formula to calculate the total surface area of a rectangular prism is given as,

TSA of rectangular prism = 2(lb + bh + lh)

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

Calculation for the paint required for rectangular prism:

The area of the sides of prism to be painted is

Area A = 2×(length×height) + 2×(breadth×height)

Length = 20 feet

Breadth = 16 feet

Height = 10 feet

A = 2×(20×10) + 2×(16×10)

A = 720 sq. feet

Now, the paint need for painting 400 sq. feet is 1 gallon.

Thus, paint required for 720 sq. feet is,

=> 720 ft² / 400 ft² /gal = 1.8 gal  

Therefore, for painting rectangular prism, the amount of paint required is 1.8 gal.

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Answer:

Decay, 60%

Step-by-step explanation:

Remember that the exponential function is written in the form [tex]y=ab^x[/tex]. In this problem, a=57 and b=0.4. A function is considered a growth function when [tex]b>1[/tex]. Since 0.4 not greater than 1, this is an exponential decay function.

Now, to find the rate of decrease we can use part of the form [tex]y=a(1-r)^x[/tex].

[tex]1-r[/tex] represents the percentage decrease, in this case, 0.4. If that entire term is 0.4, we need to solve for [tex]r[/tex].

[tex]1-r=0.4\\r=0.6[/tex]

So, the rate of percentage decrease is 60%.

I hope this helps!

Answer:

Step-by-step explanation:

Refer to attached graph

Statements

Figure ABCD is similar to figure A′B′C′D′.

Figure ABCD is bigger than figure A′B′C′D′.

The measure of angle D is equal to the measure of angle A′.

The measure of angle D is equal to the measure of angle B′.

Answer:

A

Step-by-step explanation: The Person AbovE Is 100% Right and I can't explain this question any better.

Answer:

60 liters

Step-by-step explanation:

Answer:

C. 60 kilograms

Step-by-step explanation:

The person above me is incorrect because liters is used on liquids

Step-by-step explanation:

me kuch nhi karunga

Answer:

20c is the expression

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

Explanation:

Segments DB and DC are the same length. This makes triangle BCD to be isosceles. Recall that the base angles of any isosceles triangle are congruent angles. The base angles are opposite the congruent sides.

So because DB = DC, this makes B = C the congruent base angles in question. Let's say they are x for now.

Also recall that for any triangle, the three angles always add to 180 degrees.

B+C+D = 180

x+x+44 = 180

2x+44 = 180

2x = 180-44

2x = 136

x = 136/2

x = 68

So angles B and C, of triangle BCD, are 68 degrees each.

This leads to angle BCD to be 68 degrees as well.

Now we'll turn to the Tangent-Chord Theorem. This says that the angle made between a chord and a tangent is the same measure as the inscribed angle that is opposite the chord.

In this case,

So because angle BCD is 68 degrees, so is angle ABD.

9514 1404 393

Answer:

  1/6

Step-by-step explanation:

The slope is the ratio of rise to run.

  slope = rise/run = (6 ft)/(36 ft) = 6/36 = 1/6

The slope of the hill is 1/6.