Prove that \P(A) \cup \P(B) \subseteq \P(A \cup B) and find a counter-example to show that we don't always have equality

Answer:

A

Step-by-step explanation:

So he bought 3 packages of pens.

And each package has 4 blue and 2 black.

Thus, the equation that can be used to find the total number of pens p is:

[tex]3\times(4+2)=p[/tex]

The (4+2) represents the total number of pens in 1 package. And the 3 represents the total number in 3 packages.

Further notes:

The total number of pens would be 18.

Answer:

3 times (4+2)=p

Step-by-step explanation

this is the answer because it gives us that key word and the key word is each and total and when you solve it the answer would be 18 because always use the parentheses  first then add 4+2 and that equals 6 and times 6 with the 3 and that gives 18

I hope this helps you have a wonderful day:)

Given: m∠A + m∠B = 90° (Definition of Complementary Angles).

Given: m∠B = (5x + 8)°

A) m∠A = 180° + (5x + 8) is your answer choice:

Why it isn't the others:

B) m∠A = 90° - (5x + 8)

You are solving for complementary angles (90° in total when combined), so you subtract the measurement for B (5x + 8) to get A.

C) m∠A = 180° - 2(5x + 8)°

You double the complementary angle to solve for the supplementary. Essentially, just divide this answer by two to get the complementary angles.

D) m∠A = 82 - 5x

I was confused by this one, but essentially they just did one step of the isolating the variable, which was subtracting 8 from both sides. They did not finish isolating the variable however.

Answer:

The answer is No

Step-by-step explanation:

7 to the fourth is 2401

4 to the seventh is 16384

Answer:

The correct answer is:

0.01$ (c)

Step-by-step explanation:

Standard deviation is a measure of how spread out numbers are from the mean value. The formula for standard deviation is given by:

[tex]s = \sqrt{\frac{\sum(x - \bar x)}{n} } \\where:\\x = sample\ \\\bar x\ = mean\\n\ = number\ of\ samples\[/tex]

Variance is a measure of the squared differences from the mean.

Variance is simply the square of the standard deviation. It is mathematically shown as:

[tex]s^2 = \frac{\sum(x - \bar x)}{n} }[/tex]

Now in our example,

Stabnard deviation = $0.10

Variance = (standard deviation)²

Variance = (0.10)²

Variance = $0.01

Answer:

c.) $0.01

Step-by-step explanation:

Got it right.

Answer:

£591.5

Step-by-step explanation:

First find the price increase by multiplying the new price by 30 percent . Then subtract the answer from the new price.

The original price of the TV prior to the increase is £650 and this can be determined by using the unitary method.

Given :

The price of a 46" LED flat TV screen has increased  to £845, which is 30% increase of the original price.

The following steps can be used in order to determine the original price of the TV prior to the increase:

Step 1 - The unitary method can be used in order to determine the original price of the TV prior to the increase.

Step 2 - According to the given data, the increased price of the TV is £845 which is 130%.

Step 3 - Now, let the original price of the TV be 'x'.

Step 4 - So, the value of 'x' is:

[tex]x = \dfrac{100}{130}\times 845[/tex]

Step 5 - Simplify the above expression.

[tex]x = \dfrac{8450}{13}[/tex]

[tex]x = 650[/tex]

So, the original price of the TV prior to the increase is £650.

For more information, refer to the link given below:

https://brainly.com/question/12116123

Answer:

Price of roses is proportional to the number of roses.

Step-by-step explanation:

Let the price of roses are proportional to the number of roses.

Equation representing this phenomenon will be,

P = k(R) ⇒ k = [tex]\frac{P}{R}[/tex]

where 'P' = price of the roses

R = Number of roses

k = Proportionality constant

If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.

For R = 3 and P = $9  

k = [tex]\frac{9}{3}[/tex]

k = 3

For R = 6 and R = 18

k = [tex]\frac{18}{6}[/tex]

k = 3

K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.

Answer:

Step-by-step explanation:

Since it's a geometric sequence, to find the common ratio divide the previous term by the next term.

That's

And also

Also

Since the common ratio is the same for any of the terms chosen the common ratio of the sequence is

Hope this helps you

Answer:

B. -1/2

Step-by-step explanation:

The common ratio is the ratio between two numbers next to each other To find the common ratio, divide a term by the preceding term.

For example, if the term is 48, divide by -96.

48/-96 = -1/2

Another example, if the term is -24, divide by 48.

-24/48= -1/2

Let’s try one more example. If the term is 12, divide by -24

12/-24= -1/2

Therefore, the common ratio is 1/2 and the correct answer is B.

Answer:

x = 12

Step-by-step explanation:

the other explanation might be confusing so here is the answer again to sum it up

Answer: 151.4, 0.1-131

Step-by-step explanation:

Answer:

the answer is 126 because 9 times 14 is 126

Answer:

t = 8 / n

Step-by-step explanation:

Time (t) and the number of workers (n), which are inversely proportional.

t = k (1/n)

t = k / n

Where,

t= time it will take workers to finish their job

n = number of workers doing the job

k = constant of proportionality

He estimates that it would take 2 days for 4 workers to wash the windows.

t= 2 days

n= 4 workers

t = k / n

2 = k / 4

Cross product

2*4 = k

8 = k

The relationship between time an number of workers is

t = k / n

t = 8 / n

Answer:

Step-by-step explanation:

t= 8/n

Answer:

[tex]y = - \frac{17}{7} x - 5 \frac{4}{7} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

$440,000

Step-by-step explanation:

Direct material:

= $195,000 - $30,000

= $165,000

Direct labor:

= $150,000 - $40,000

= $110,000

Manufacturing overhead:

150% of direct labor cost.

= $110,000 x 150 ÷ 100

= $16,500,000 ÷ 100

= $165,000

Total manufacturing costs:

= $165,000 + $110,000 + $165,000

= $275,000 + $165,000

= $440,000

The total manufacturing costs added during the period is: $440,000

Answer:

-4

Step-by-step explanation:

The only difference between 4 and -4 is that 4 is positive and the other 4 is negative because of “-”.

Answer:

l = 58.5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

112 = 2l - 5

Step 2: Isolate term l by adding 5 on both sides

117 = 2l

Step 3: Isolate l by dividing both sides by 2

117/2 = l

Step 4: Evaluate

l = 58.5

Answer:

[tex]\Large \boxed{l = \frac{117}{2}}[/tex]

Step-by-step explanation:

Let the length be [tex]l[/tex].

[tex]112 = 2 l - 5[/tex]

Adding 5 to both sides.

[tex]112 +5= 2 l - 5+5[/tex]

[tex]117 = 2 l[/tex]

Dividing both sides by 2.

[tex]\displaystyle \frac{117}{2} = \frac{2 l}{2}[/tex]

[tex]\displaystyle \frac{117}{2} = l[/tex]

Answer:

$200

Step-by-step explanation:

money he has now is 150% of what he had in the beginning

300 = 1.5x

x = 200

if he had $200 in the beginning, you add half of that to itself (200 + 100 = 300)

Answer:

27 trees needs to be in the orchard.

Step-by-step explanation:

amber needs to harvest at least 2293 of plums to cover the cost of running the orchard.

but also wants to donate 280 plums.

each tree produces an average of 83 plums

find: how many plums of trees needed to be in the orchard?

number of trees required = total harvest / number of plums produced per tree

therefore,

number of trees required = 2293 / 83 ≅ 27 trees needs to be in the orchard.

so Amber can donate 280 plums to charity.

Answer:

6

Step-by-step explanation:

just put 6.00 bro it divides evenly

Answer:

6 x ^2 − 5 x y − 4 y ^2

Step-by-step explanation:

Expand  

( 2 x + y ) (3 x − 4 y )

using the FOIL Method.

Apply the distributive property.

2 x ( 3 x − 4 y ) + y ( 3 x − 4 y )

Apply the distributive property.

2 x ( 3 x )+ 2 x (− 4 y ) + y ( 3x − 4 y )

Apply the distributive property.

2 x ( 3 x ) + 2 x( − 4 y ) + y ( 3 x) + y ( −4 y )

Simplify and combine like terms.

6 x ^2 − 5 x y − 4^ 2

Step-by-step explanation:

so it is 3×2=6 3×y=3y so here it 6-3 =3

5+4=9-2=7

so 7-3=4

Answer:

A dog needs 4/3 liters of water 2/5 of a day, Therefore

he'll need 4/3 liters for 5/2 day or

4/3 * 5/2 = 20/6 = 10/3 liters or 3 and 1/3 liters per day

Step-by-step explanation:

Answer:

$.37 per foot

Step-by-step explanation:

1 yd = 3ft

3 yd = 3*3 = 9ft

Take the dollar amount and divide by the number of ft

3.33 / 9

$.37 per foot

Answer:

$0.37 per foot

Step-by-step explanation:

3 feet=1 yard 3 yards= 9 feet

First Way:

3.33 divided by 9 = 0.37

Second Way:

9x= 3.33

9x÷9. 3.33÷ 9

x= 0.37 per foot

Answer:

[tex]z = 0.228[/tex]

Step-by-step explanation:

Given

x: -3 -1 0 1 1 2 4 4 5

n = 9

Required

Determine the z-score x = 2

z score is calculated by

[tex]z = \frac{x - Mean}{SD}[/tex]

First, we need to calculate the mean

[tex]Mean = \frac{\sum x}{n}[/tex]

Mean = \frac{-3- 1 + 0 + 1 + 1 + 2 + 4 + 4 +5}{n}

[tex]Mean = \frac{13}{9}[/tex]

[tex]Mean = 1.44[/tex]

Next is to calculate the standard deviation

[tex]SD = \frac{\sum (x_i - Mean)^2}{n}[/tex]

[tex]SD =\sqrt{ \frac{(-3-1.44)^2+(-1-1.44)^2+(0-1.44)^2+(1-1.44)^2+(1-1.44)^2+(2-1.44)^2+(4-1.44)^2+(4-1.44)^2+(5-1.44)^2}{9}[/tex][tex]SD =\sqrt{ \frac{(-4.44)^2+(-2.44)^2+(-1.44)^2+(-0.44)^2+(-0.44)^2+(0.56)^2+(2.56)^2+(2.56)^2+(3.56)^2}{9}[/tex]

[tex]SD =\sqrt{ \frac{19.7136+5.9536+2.0736+0.1936+0.1936+0.3136+6.5536+6.5536+12.6736}{9}[/tex]

[tex]SD =\sqrt{ \frac{54.2224}{9}[/tex]

[tex]SD =\sqrt{6.02471111111}[/tex]

[tex]SD = 2.455[/tex]

Substitute these values in

[tex]z = \frac{x - Mean}{SD}[/tex]

Where x = 2

[tex]z = \frac{2 - 1.44}{2.455}[/tex]

[tex]z = \frac{0.56}{2.455}[/tex]

[tex]z = 0.228[/tex]

Hence, the z score of x = 2 is o.228

Answer:

1.5

Step-by-step explanation:

To find the midpoint, add the two coordinates and divide by 2

( -4+7)/2 =

3/2

1.5

The midpoint is 1.5

Answer:

1.5

Step-by-step explanation:

In this case the midpoint value is the average or mean of -4 and 7:

-4 + 7

--------- = 3/2 or 1.5

     2

Answer:

See below

Step-by-step explanation:

1.  C = 2(3.14) for r

   r = C / 3.28

2.  A = 1/2 b h  for b

    b = A2 / h

3.  y = Mx + b for x

    y - b = Mx

    x = (y - b) / M

4.  A = 1/2 (a + b) h for  h

    A = (1/2a + 1/2b)h

    A = 1/2ah + 1/2bh

    A = (a + b) h / 2

    h = 2A / (a + b)

5.  V = (3.14) r² h  for h

   h = V / (3.14 r²)

Answer:

125^-4

125=5²

125^-4=5^-12

Answer:

0.1492

Step-by-step explanation:

Mean (m) = 9.5

Standard deviation (sd) = 3.4

Number of observations (n) = 50

Computing the test statistic :

X = 10

Z = (x - m) / standard error

Standard Error = sd/sqrt(n)

Z = (x - m) / (sd/sqrt(n))

Z = (10 - 9.5) / (3.4/sqrt(50))

Z = 0.5 / 0.4808326

Z = 1.0398 = 1.04

Using a P-value calculator, we can obtain the critical value with α = 0.10, hence, the critical value = 0.14917

= 0.1492

Answer:

2,000

Step-by-step explanation:

it is the opposite of what it really was

Answer:

8008 ways.

Step-by-step explanation:

That is  16! / 10! 6!

= 16*15*14*13*12*11 / 6*5*4*3*2*1

= 16*15*14*13*11 / 6*5*2

= 16*14*13*11 / 2*2

= 4*14*13*11

= 8008.

Answer:

y > 7

Step-by-step explanation:

2y > 20-6

2y > 14

2y/2 > 14/2

y > 7

Answer: y>y (graphing see below)

Step-by-step explanation:

2y+6>20

    2y>14

      y>7

Hope this helps!! :)

Please let me know if you have any question