Examine the figure. What is the measure of angle b?

The conjugate of the expression a - square root of a - 1 is given as follows:

a + square root of a - 1

The conjugate of an expression is obtained for an expression that has two terms.

For the conjugate, we have that:

The expression is given as follows:

a - square root of a - 1

The parameters are given as follows:

Inverting the - sign to a + sign, the conjugate expression is given as follows:

a + square root of a - 1

More can be learned about the conjugate of a expression at https://brainly.com/question/1584140

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Answer:

m∠JLK° = 62°

Step-by-step explanation:

∠JLK = ∠KJL

SO

56°+2(∠JLK)° = 180°

2(∠JLK)° = 180-56

2(∠JLK)° = 124

∠JLK° = 62°

so m∠JLK° = 62°

Answer:

m∠JLK = 62°

Step-by-step explanation:

180 - 56 = 124

124 ÷ 2 = 62

Answer:

His probability of getting a raspberry yogurt is 3/5 or 60%.

Step-by-step explanation:

Pls mark brainliest.

Answer:

Step-by-step explanation:

r=60/100=0.6<1

[tex]S_{\infty} =\frac{a}{1-r} \\=\frac{100}{1-0.6} \\=\frac{100}{0.4} \\=\frac{1000}{4} \\=250[/tex]

Answer:

b) you need one set of | | for the inside of the logarithm only.

c) pi^2 /56

Step-by-step explanation:

For b, you just need | | instead of ( ) for the inside of the natural logarithm part... .

For c...

Integral( arcsin(7/6x)/sqrt(36-49x^2),x=0..6/7).

Lets go ahead and fix up the the denominator so the multipler on x is the same as it is in numerator.

Factor our sqrt(36) on bottom. Note sqrt(36)=6.

1/6Integral(arcsin(7/6x)/sqrt(1-(7x/6)^2),x=0..6/7)

Let 7/6x=sin(v). Then 7/6 dx=cos(v) dv.

If x=0 then we solve 7/6(0)=sin(v) giving us v=0. Note sin(0)=0.

If x=6/7 then we solve 7/6(6/7)=sin(v) giving us v=pi/2. Note sin(pi/2)=1...and I chose this particular value for v so the sine curve didn't have a chance to make a new or start a new cycle.

1/6×6/7Integral(v/sqrt(1-(sinv)^2) cos(v)),v=0..pi/2)

Next step invokes the Pythagorean Identity sin^2(v)+cos^2(v)=1:

1/7Integral(v/cos(v) cos(v), v=0..pi/2)

1/7Integral(v, v=0..pi/2)

1/7(v^2/2, v=0..pi/2)

1/7((pi/2)^2/2-(0)^2/2)

1/7(pi^2/4/2)

1/7(pi^2/8)

pi^2/56

Answer:

41

Step-by-step explanation:

53/106 = x/82 similar triangles

x=41

Answer:

Copy an angle is the best solution with compass and straight edge.

Answer:

4 fluid ounces

Step-by-step explanation:

A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?

Remember

8 fluid ounces = 1 cup.

First you need to do find out how many fluid ounces she poured in total.

So do,

5 mugs × 12 fluid ounces.

which is 60 fluid ounces.

Now that you now that you need to convert 8 cups into fluid ounces.

Like I said at the top 8 fluid ounces = 1 cup.

So you need to do,

8 cups × 8 fluid ounces.

Which is 64 fluid ounces she can hold in her coffee pot.

Now you subtract,

64 fluid ounces - 60 fluid ounces.

Which is 4 fluid ounces left in her coffee pot.

The number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee.

Let x be the number of fluid ounces she has left.

4 fluid ounces

As we know,

8 fluid ounces = 1 cup

The total amount of coffee = 5×12

The total amount of coffee = 60

Total amount = 8 cups × 8 fluid ounces.

x = 64 fluid ounces - 60 fluid ounces.

x = 4 fluid ounces

Thus, the number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.

Learn more about the unit conversion here:

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Hello there

This is a simple algebra problem, that we will be solving...

First let's use [tex]PEMDAS[/tex], and [tex]DISTRIBUTIVE\:PROPERTY[/tex]

______________

[tex]{\huge{\boxed{\mathbb{PEMDAS}}}[/tex]

______________

[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}[/tex]

Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

______________

[tex]4(1.75y-3.5)+1.25y[/tex], first distribute...

[tex]7y-14+1.25y[/tex], combine like terms, and we get [tex]8.25y-14[/tex] as our answer

Answer:

  x + y -z = 6

Step-by-step explanation:

The equation of the line can be rewritten as ...

  (x, y, z) = (2, -3, 0) +t(1, 1, -1)

The direction vector of the line tells you the coefficients of the variables in the equation of the plane. The constant in that plane equation will be the value required to make it pass through the given point.

  x + y - z = (-1) +(4) -(-3)

  x + y - z = 6 . . . . equation of the plane

Answer:

option 1 is the best choice

Step-by-step explanation:

for every 5 minutes, the number of toys increases by 2.

Answer:

D şıkkı iyi dersler hadi

Answer:

C: [tex](2x+5)(4x^2-10x+25)[/tex]

Step-by-step explanation:

First of all, you need to be able to recognize the two terms as cubes, and what they are cubes of. In this case, [tex]8x^3 = (2x)^3[/tex] and [tex]125=5^3[/tex].

Then you have to find a way you like to remember the formula for how to factorize. The way I do it is by saying "the binomial has the same zero as the original, so [tex]x^3+a^3=(x+a)(...)[/tex] and [tex]x^3-a^3 = (x-a)(...)[/tex] and the whole expression has one minus sign attached to the second term of either factor. In the sum of cubes first parenthesis has a plus, so the second term of the other parentesis has to take that minus: [tex]x^3+a^3=(x+a)(x^2-ax+a^2)[/tex] while in the difference of cubes you already used a minus, so everything else goes plus: [tex]x^3-a^3=(x-a)(x^2+ax+a^2)[/tex]

Or you commit the two formulas to memory.

Answer: A. (4/8)

Step-by-step explanation: If there is 4 black swans and 8 swans in total you could see it's 4 black swan out of 8 total swans. You could do

8/8 - 4/8 = 4/8 to find out the answer too.

Answer:

11 17/21

Step-by-step explanation:

Answer:

11 17/21

Step-by-step explanation:hope i helped

Answer:

5000

Step-by-step explanation:

I took the test so that's how I know

Answer:

C,

Step-by-step explanation:

A and D is incorrect because they are negative correlation

and B is incorrect because a correction of 0.95 means all values are close to each other, but B values are scattered much more that C values

so answer C

Answer:

savind and investing money

Answer:

  length: 90 ft

  width: 30 ft

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 120 ft. The length is 3/(3+1) = 3/4 of the sum, so is (3/4)(120 ft) = 90 ft. The width is 120 ft -90 ft = 30 ft.

The floor has a length of 90 feet and a width of 30 feet.

Answer:

L1 + L2 + L3 = perimeter

Step-by-step explanation:

You add each side of the triangle together.

Answer:

L1+L2+L3

Step-by-step explanation:

You add all the sides of the triangle to get the perimeter

Step-by-step explanation:

The Pythagorean theorem is:

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

where c is the hypotenuse.

The two wires in the sketch are the hypotenuse so we just use the formula

let the wires=x

So:

[tex] {x}^{2} = {12}^{2} + {6}^{2} [/tex]

[tex] {x}^{2} = 144 + 36[/tex]

[tex] {x}^{2} = 180[/tex]

[tex]x = \sqrt{180} [/tex]

[tex]x = 13.42[/tex] feet

Answer:

190

Step-by-step explanation:

f(1)=8

f(2)=3f((2-1))-2, f(2)=22

f(3)=3f((3-1))-2, f(3)=64

f(4)=3f((4-1))-2, f(4)=190

Step-by-step explanation:

(|  |) makes the number opposite

|10|=-10

|-3|=3

|0|=0

|-5.25|=5.25

Least to greatest

|10|, |0|, |3|, |5.25|

Let me know if there's any mistakes

Answer:

2.0015305e+15 is the answer

Answer:

Multiply each side by −5, add 25 to each side.

Step-by-step explanation:

Answer:

Unit rate = 220 calories

Step-by-step explanation:

In order to find the unit rate, you simply have to divide the total number of calories (1760) by the number of servings (8).

1760/8=220.

Therefore, the unit rate is 220 calories.

Answer:

40

Step-by-step explanation:

Calculator.

Answer:

your answer should equal to 40

Step-by-step explanation:

hope its right!

Answer:

  (c)  (12th root of 8)^x

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex](a^b)^c=a^{bc}\\\\\sqrt[n]{a}=a^{1 \! /n}[/tex]

In this case, we have ...

  [tex](\sqrt[3]{8})^{x/4}=8^{1/3\cdot x/4}=8^{x/12}=\boxed{\left(\!\sqrt[12]{8}\right)^x}[/tex]