Which is the following is equivalent to 16^3/4

Answer: 211

Step-by-step explanation:

633 divided by 3 answers evenly with no decimal

Answer:

y = -5

Step-by-step explanation:

yeah-ya....... right?

Answer:

Step-by-step explanation:

as both y values are -5, slope is zero and y intercept is -5

y = 0x - 5

y = -5

Answer:

It's a good question I seen thank you so much for your help and support me in the morning and have a talk

Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x

Using the method of completing the square

add ( half the coefficient of the x- term)² to x² + 2x

= x² + 2(1)x + 1²

= x² + 2x + 1

= (x + 1)² ← perfect square

Answer:

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Class 11

>>Maths

>>Sets

>>Complement of Sets

>>If U = {1,2,3,4,5,6, 7, 8, 9 }, A = {2,

Question

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If U={1,2,3,4,5,6,7,8,9},A={2,4,6,8} and B={2,3,5,7}. Verify that

(i) (A∪B)

′

=A

′

∩B

′

(ii) (A∩B)

′

=A

′

∪B

′

Medium

Solution

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U={1,2,3,4,5,6,7,8,9}

A={2,4,6,8}

B={2,3,5,7}

(i) (A∪B)

′

={2,3,4,5,6,7,8}

′

={1,9}

A

′

∩B

′

={1,3,5,7,9}∩{1,4,6,8,9}={1,9}

∴(A∪B)

′

=A

′

∩B

′

(ii) (A∩B)

′

={2}

′

={1,3,4,5,6,7,8,9}

A

′

∪B

′

={1,3,5,7,9}∪{1,4,6,8,9}={1,3,4,5,6,7,8,9}

∴(A∩B)

′

=A

′

∪B

Answer: They are inverses of each other

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

Explanation:

We need to check two things:

If both of those equations are true, then f and g are inverses of each other.

----------------

Part 1

[tex]f(x) = -3x-12\\\\f(g(x)) = -3( g(x) )-12\\\\f(g(x)) = -3\left( \frac{-12-x}{3} \right)-12\\\\f(g(x)) = 12+x-12\\\\f(g(x)) = x\\\\[/tex]

So far, so good. Now we need to check the other equation mentioned.

------------------

Part 2

[tex]g(x) = \frac{-12-x}{3}\\\\g(f(x)) = \frac{-12-( f(x) )}{3}\\\\g(f(x)) = \frac{-12-( -3x-12 )}{3}\\\\g(f(x)) = \frac{-12+3x+12}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\[/tex]

That works out as well. Both equations mentioned are true, which confirms the two original functions are inverses of one another.

Answer:

y < 1

Step-by-step explanation:

In order to solve this inequality, we must isolate the y variable.

First add 5 on both sides of the inequality sign:

Now you have 8y < 8.

Then divide by 8 on both sides, to get y alone:

Now you have y < 1.

Hope this helps you :)

Answer:

15 centimeters.

Step-by-step explanation:

If the ratio of two sides of similar octagons is 5:7, then the larger octagon has a side length that is 7/5 times the smaller one. If the measure of the side of the larger octagon is 21, then the measure of the smaller one is 5/7 times that, which is 5/7 * 21 = 15 centimeters.

Answer:

  C.  90

Step-by-step explanation:

The numbers being multiplied are "factors." The result of multiplication is a "product." In this problem, the product is 90.

Answer:

$85 per chair

Step-by-step explanation:

add the discount (55) to the total amount paid (455).

you should get 510

after this, divide 510 by 6 (because 6 chairs), and you should find that each chair costs $85

Step-by-step explanation:

remark : it is very unusual for a map to mix two measurement norms. they are normally either fully in the American or fully in the metric system.

but let's do the exercise.

the scale says 1/2 in = 10 km

but our measurement on the map brought us quarter inches.

so,

1/2 in = 2/4 in = 10 km

therefore

1/4 in = 10/2 = 5 km

now,

2 1/4 = 9/4 in

this is 9 times 1/4.

therefore, the distance between the 2 cities is

9 × 5 = 45 km.

Answer:

Part 1: The entry fee is $5

Part 2: Each minute costs 25 cents

Step-by-step explanation:

In the expression, the '+5' represents the fee added to '.25m' the cost per each minute.

the assumption here is that both triangles are similar, if that's so, then we can use proportions to get the sides.

[tex]\stackrel{\textit{assuming both triangles are similar}}{\cfrac{x}{10}=\cfrac{15}{6x}\implies \cfrac{x}{10}=\cfrac{5}{2x}}\implies 2x^2=50 \\\\\\ x^2=\cfrac{50}{2}\implies x^2=25\implies x=\sqrt{25}\implies \boxed{x=5}[/tex]

Answer:

Unknown

Step-by-step explanation:

What is the question? You have the information listed but you forgot to ask the question.

Answer: 31.57

Step-by-step explanation:

41% of 77 is what?

41% of 77 is Y

Equation: P% * X = Y

Solving our equation for Y

Y = P% * X

Y = 41% * 77

Converting percent to decimal:

p = 41%/100 = 0.41

Y = 0.41 * 77

Y = 31.57

Answer:

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Answer:

3¹² is answer

Step-by-step explanation:

3^(2+4+6)

3^12

Answer:

x=10, y=4

Step-by-step explanation:

3x-3y=18

(-)3x-(-)8y=-(-)2   -3x+8y=2   add to first equation to eliminate x

5y=20

y=4

substitute y with 4

3x-3(4)=18

3x=30

x=10

x=10,y=4

Answer:

2.8

Step-by-step explanation:

.4 × 7 =2.8

.4+.4+.4+.4+.4+.4+.4

Hope this helps!!:)

Answer:

2.8

Step-by-step explanation:

This is the same as:

[tex]0.4+0.4+0.4+0.4+0.4+0.4+0.4[/tex]

If we were to change the question to:

[tex]4+4+4+4+4+4+4=28[/tex]

That would be 10x this question's answer, Therefore you divide 28 by 10 to give you 2.8  

Answer:

6200

Step-by-step explanation:

first find how much she would make purely based on hours worked:

8x40 = 320 dollars

next subtract this from total on her paycheck so 692-320 is 372

we know that 372 is 6% of a number so...

[tex]\frac{6}{100}[/tex] x = 372

[tex]\frac{6x}{100}[/tex] = 372

6x= 37200(100)

x=6200 $ divide by 6

so she sold $6200 worth of merchandise to earn $372 of commission

According to the confidence interval given, the non-equivalent expression is:

A. [tex]161.7 \pm 13.9[/tex]

The interval given is:

[tex]161.7 \leq \mu \leq 189.5[/tex]

Which can also be written as: (161.7.189.5)

The point estimate is the halfway point of the interval, hence:

[tex]\overline{x} = \frac{161.7 + 189.5}{2} = 175.6[/tex]

The margin of error is half the difference of the bounds, hence:

[tex]M = \frac{189.5 - 161.7}{2} = 13.9[/tex]

According to the point estimate and to the margin of error, the interval can also be written as:

[tex]175.6 - 13.9 \leq \mu \leq 175.6 + 13.9[/tex]

[tex]175.6 \pm 13.9[/tex]

Hence, the only expression which is non-equivalent is:

A. [tex]161.7 \pm 13.9[/tex]

You can learn more about confidence intervals at https://brainly.com/question/25779324

The equation of the line is:

[tex]y=\frac{-1}{2}x-26[/tex]

The point-slope equation of a line is given as:

[tex]y-y_1=m(x-x_1)[/tex]

where m represents the slope, and is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For the line passing through the points (-32, - 10) and (-74, 11)

[tex]x_1=-32, y_1=-10, x_2=-74, y_2=11[/tex]

Substitute these points into the slope formula to get the slope of the line

[tex]m=\frac{11-(-10)}{-74-(-32)} \\\\m=\frac{11+10}{-74+32} \\\\m=\frac{21}{-42} \\\\m=\frac{-1}{2}[/tex]

Substitute [tex]m=\frac{-1}{2}, x_1=-32, y_1=-10[/tex] into the line equation

[tex]y-(-10)=\frac{-1}{2}(x-(-32))\\\\y+10=\frac{-1}{2}x-16\\\\y= \frac{-1}{2}x-16-10\\\\y=\frac{-1}{2}x-26[/tex]

The equation of the line is:

[tex]y=\frac{-1}{2}x-26[/tex]

Learn more on equation of a line here: https://brainly.com/question/13763238

Answer:

33.33

Step-by-step explanation:

(48-36):36*100

(48:36-1)*100

133.33333333333-100 = 33.33

Answer:

[tex]\frac{4\sqrt{3} }3}[/tex]

Step-by-step explanation:

Since it is an equilaterla triangle, we can see the side opposite to that of side length 4 is 60 degrees. Since the other angle is a right angle (90 degrees), we can find that the other side is 30 degrees (the degrees add up to 180). We can also see that this is a 30-60-90. We can see that the side x, through the identity (you can find 30-60-90 identity online), we see that the side x is [tex]\frac{4}{\sqrt{3}}[/tex]. However, it is also asking us to simplify this, so we multiply the top and bottom by [tex]\sqrt{3}[/tex] and get [tex]\frac{4}{\sqrt{3} } = \frac{4\sqrt{3} }{3}[/tex]

Answer:

I don't get what you're asking.

Do you want me to solve for x? :D

(✿◡‿◡) HAPPY HOLIDAYS!!!

Answer:

16 - 4 = 7 + 6

Step-by-step explanation:

16 - 4 = 12

7 + 6 = 13