Find the indefinite integral|(12x+5)dx

B u A = 48

B = 45

The part of set B not included in A is B - A∩B  = 45 - 7 = 38

Since B u A = 48,  A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).

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Alternatively, the inclusion-exclusion principle may be used:   A  +  B  - (A ∩ B) = A u B  

  A + 45 - 7 = 48

  A  = 48 - 45 + 7  

   A = 10

NOTE that I'm using A and B  to indicate the number of elements in each set, respectively.

More formally, one would write |A|  and |B| to indicate the cardinality (number of elements) of the set.

Answer:

yes all of the points are on the same line

Step-by-step explanation:

Answer:

See below for answer.

Step-by-step explanation:

∠1 and ∠2 are supplementary               Given

∠1 + ∠2 = 180°                                         Definition of supplementary angles  

∠3 and ∠2 are supplementary               Given

∠3 + ∠2 = 180                                         Definition of supplementary angles  

∠1 + ∠2 = ∠3 + ∠2                                  Substitution

∠1 = ∠3                                                    Substracting ∠2 from both sides    

Answer: The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

Step-by-step explanation:

x is the price of the battery

x + 1.50 is the price of the torch

x + (x + 1.50) is 2.50

x + (x + 1.50) = 2.50

2x = 2.50 - 1.50

2x = 1

x = 1/2

x = 0.50

The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.

Answer:

12.3

Step-by-step explanation:

i took the quiz

Answer:

How to factor out a polynomial with a 3rd degree-• well here is a For example, let G(x) = 7x³ – 125. Then factoring this third degree polynomial relieve on a differences of cubes as follows: (2x – 5) (4x² + 20x + 25), where ²x is the cube-root of 8x³ and 5 is the cube-root of 1256

Answer:

long division is probably the simplest method of finding out the factors

Step-by-step explanation:

For example,  let G(x) = 8x³ – 125. Then factoring this third degree polynomial relies on a difference of cubes as follows: (2x – 5) (4x² + 10x + 25), where 2x is the cube-root of 8x³ and 5 is the cube-root of 125. Because 4x² + 10x + 25 is prime, you are done factoring.

Answer:

x = -7

Step-by-step explanation:

Eleven more than five times a number is equal to the difference between −38 and twice the number.

let x represent the number.

11 + 5x = -38 - 2x

7x +11 = -38.............add 2x to both sides

7x = -49................... subtract 11 from both sides

x = -7........................divide both sides by 7

Answer:

80o, 60o, 40o

Step-by-step explanation:

The sum has to add up to 180 degrees because of the three sides and this is what matches.

Answer:

Let the given angles of the triangle be 4x, 3x and 2x.

We know that the sum of all interior angles of a triangle is 180°.

Therefore,

Hence, the angles of the triangle are -

Answer:

109 is the correct answer

Step-by-step explanation:

option c is correct answer

Answer:

A) -11/-4

Step-by-step explanation:

-11/-2=11/4

Rewrite the fraction.

-(-11/4)

=11/4

Hope this helps :)

Answer:

Decrease amount: $1484 Year-end amount: $4116

Step-by-step explanation:

26.5% of 5600 is 1484. We then subtract 1484 from 5600 because that is how the percentage of decrease, which gives us 4116 dollars. This means her year-end account is 4116 dollars, and the decrease amount is 1484 dollars. Hope this helps!

Answer:

ok so first of all there is 14 sodas in the cooler(6+2+2+4)

and 6 of these 14 are cola 6/14 or 3/7

so 3/7 then to give your self one we multiple it by 3/7

3/7*3/7=0.18367346938

we multiple by 10

18.367346938

so the probility is 18.37%

Hope This Helps!!!

Answer:

way too long

Step-by-step explanation:

jk, 3 hours and 55 minutes

Answer:

-12

Step-by-step explanation:

Since the segments go by 3, with each segment to the left I subtracted 3, so it was 0, -3, -6, -9, and then the blue dot stood on the segment -12, and that's your answer.

Tell me if I'm wrong :)

Answer: -12

Step-by-step explanation: The number line is going by 3's, so since the blue dot is 4 dashes away from 0 with the first dash being -3, that can only mean that the answer is -12.

Hope this helped and let me know if its correct!

-KC

Answer:

3¹⁶

Step-by-step explanation:

While adding numbers with exponents, if the base of the numbers is same, then it will also be the same in the final answer and the exponents add

Hope this helps!

Answer:

You can just add the exponents power

9+7=16

So its 3^16 in exponential form

You can think of it like this.

for 3^9 its

3*3*3*3*3*3*3*3*3

And for 3^7 its

3*3*3*3*3*3*3

Now your multiplying them all together.

Really your jsut adding the value so in the end

3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*3

So its

3^16

True.

The y-axis of the f(x) must equal to the x-axis of g(x)

The x-axis of the f(x) must equal to the y-axis of g(x)

Answer:

12 in

Step-by-step explanation:

3in + 3in + 3in + 3in = 12

Answer:

325 cm²

Step-by-step explanation:

find area of each side even those that are not shown. then add the areas

The probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

First, we need to find the z-score and this is expressed according to the formula;

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

x is the sample space

[tex]\mu[/tex] is the mean value

[tex]\sigma[/tex] is the standard deviation

Given the following parameters

Mean = $275,000

Standard deviation = $10,500

If the true mean is $273,000, then;

[tex]z=\dfrac{273,000-275000}{10,500} \\z = \frac{-2000}{10500}\\z= -0.1905[/tex]

If the true mean is $277,000

[tex]z=\dfrac{277,000-275000}{10,500} \\z = \frac{2000}{10500}\\z= 0.1905[/tex]

This means that the z-score is between -0.1095 and 0.1095

Pr( -0.1095 ≤ z ≤ 0.1095)

According to the z table, the probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

Learn more here: https://brainly.com/question/17436641

Answer:

  Z ≈ -0.100

Step-by-step explanation:

A suitable calculator, spreadsheet, or table of the normal distribution can tell you the answer. Attached in the result using a spreadsheet. The function arguments are (area, mean, standard-deviation).

  Z ≈ -0.100

Answer:

33333

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Denise's stars altogether:8+6=14

Trina's stars:5

Answer:14-5=9

she drew 9 fewer stars

Answer:

-2x - 2

Step-by-step explanation:

-2(x + 1)

Therefore, the answer is -2x - 2.

Answer:

-2x - 2

Step-by-step explanation:

Simplify:

-Chetan K

Answer:

Step-by-step explanation:

Use equation and compare results:

(a)

(b)

#a

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto (10.15)^2=(8.1)^2+(6.3)^2[/tex]

[tex]\\ \sf\longmapsto 103=65.61+39.69[/tex]

[tex]\\ \sf\longmapsto 103\neq 105.3[/tex]

No

#b

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto (15.31)^2=(14.4)^2+(5.2)^2[/tex]

[tex]\\ \sf\longmapsto 234.4=207.3+27.1[/tex]

[tex]\\ \sf\longmapsto 234.4\neq 234.4[/tex]

Yes

Answer:

D) 1530

Step-by-step explanation:

I used Desmos :)

Answer:

no answer b/c the terms are unlike term

Answer:

D. ( 1,4)

Step-by-step explanation:

Answer/Step-by-step explanation:

[tex]\frac{1-\cos \left(x\right)}{\sin \left(x\right)}=\frac{\sin \left(x\right)}{1+\cos \left(x\right)}[/tex]

When you have an equation like this, you can start from either side. So, let us start from the left side.

[tex]\underline{\mathrm{Left\:side:}} \quad\frac{1-\cos \left(x\right)}{\sin \left(x\right)}[/tex]

[tex]\sf{Rewrite\: using \:Trig \:identities=\frac{\sin \left(x\right)}{1+\cos \left(x\right)}}\\\\\mathrm{Therefore,\: it \:is \:true}[/tex]

Answer:

y=-19/8x+12

Step-by-step explanation:

Slope intercept form is

y=mx+b

m is slope

b is y-intercept

So we already know what the slope is so we can plug that in

y=-19/8x+b

Now  with the point we can substitute x and y with the point values

[Remember a point is (x,y)]

0 is x

12 is y

12=b

So the slope intercept form of this is

y=-19/8x+12

Hope this helps!