If E be an event, then P(E) + P(not E) = _____________.

Answer: X = 13.2 (Approximated to the nearest tenth)

Step-by-step explanation: This is a right angled triangle, with one side given, and one angle given. We can calculate the other two sides provided the reference angles are known, and in this question, all angles are known. One is 90°, the second is 47° while the third is 43° (that is 180° - {90° + 47°} )

We shall use angle 47 as the reference angle, and note that the line that lies between the reference angle and the right angle is the adjacent. Note also that the unknown side is the hypotenuse, (the side facing the right angle).

Now that we have established two sides of the triangle, the adjacent (9 units) and the hypotenuse (X), we can calculate the unknown side by using the trigonometrical ratio of cosine.

Cos 47 = adjacent/hypotenuse

Cos 47 = 9/X

By cross multiplication we now have

X/1 = 9/Cos 47

By checking your table of values or by use of your calculator, cos 47 is equal to 0.6819

Therefore

X = 9/0.6819

X = 13.19 units

However, by rounding up to the nearest tenth,

X = 13.2 units

Option C:

5, 1, 7

Solution:

Given equation:

y = |3x + 1|

In the chart, x values are given as –2, 0, 2.

To find the value of y for the corresponding x given.

Substitute x  = –2 in the equation of y.

y = |3(–2) + 1|

  = |–6 + 1|

  = |–5|   (Absolute value of a negative number is positive)

y = 5

Substitute x  = 0 in the equation of y.

y = |3(0) + 1|

  = |0 + 1|

  = |1|

y = 1

Substitute x  = 2 in the equation of y.

y = |3(2) + 1|

  = |6 + 1|

  = |7|   (Absolute value of a negative number is positive)

y = 7

Option C is the correct answer.

The values of y are 5, 1, 7.

The answer image of the table is attached below.

Answer:

7,1,7

Step-by-step explanation:

Answer:

D. 3b2 + 2b ≥ 56

Step-by-step explanation:

I just did the test too

The correct proportion to determine the percentage of red dry erase markers is 'p/100 = 14/56'. By cross-multiplying and simplifying, we find that 25% of the markers are red.

In order to find the percent of dry erase markers that are red, it would be correct to use the proportion 'p/100 = 14/56'. This proportion represents 'p', the percent of red markers out of a total of 100, equal to the actual number of red markers (14) out of the total number of markers (56). Therefore, option A is correct. For example, if you cross-multiply and simplify, you can find the value of 'p' and hence the percentage ratio of red markers. Multiply 14 by 100 to obtain 1400 and then divide 1400 by 56 to obtain 25. Therefore, 25% of the dry erase markers are red.

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Answer:

4.89 cm

Step-by-step explanation:

Formula for arc length = (angle/360)×2×pi×r

(70/360)×2×pi×4 = 4.89cm

Answer:

a.  [tex]$ x^{-5} $[/tex]

b.  [tex]$ 3x^{-2} $[/tex]

c.   [tex]$ \frac{4}{3}x^4 $[/tex]

Step-by-step explanation:

We have to know the two results to compute the problems.

1.  [tex]$ x^a . x^b = x^{a + b} $[/tex]

2.  [tex]$ \frac{x^c}{x^d} = x^c . x^{-d} = x^{c - d} $[/tex]

a. [tex]$ \frac{x^3}{x^8} $[/tex]

Using (2), we get: [tex]$ \frac{x^3}{x^8} = x^{3 - 8}[/tex]

[tex]$ \textbf{= x}^{\textbf{5}} $[/tex]

b. [tex]$ \frac{6x}{2x^3} $[/tex]

[tex]$ = 3\frac{x}{x^3} $[/tex]

[tex]\textbf{= 3x}^{\textbf{-2}} $[/tex]

c. [tex]$ \frac{28x^6}{21x^2} $[/tex]

[tex]$ = \frac{4}{3}x^{6 - 2} $[/tex]

[tex]$ = \frac{\textbf{4}}{\textbf{3}}\textbf{x}^{\textbf{4}} $[/tex]

Hence, the answer.

To represent the actual length of the Mississippi River, which is 2,320 miles, on a map with a scale of 3 cm per 120 miles, the river would be 58 cm long on the map.

The question concerns calculating the scale representation of the actual length of the Mississippi River on a map. According to the given scale, 3 centimeters on the map represents 120 miles in reality. The actual length of the Mississippi River is 2,320 miles. To find the length of the Mississippi River on the map, we use the scale ratio to set up a proportion.

First, we calculate the scale ratio which is 3 cm to 120 miles. This means 1 cm represents 40 miles (120 miles ÷ 3 cm). To find how many centimeters represent 2,320 miles, we divide the actual miles by the miles each centimeter represents. Therefore, 2,320 miles ÷ 40 miles/cm equals 58 cm. Thus, the Mississippi River would be represented as 58 cm long on Kim's map.

Answer:

[tex]a_{n} = 0.3(- 0.2)^{n - 1}[/tex]

Step-by-step explanation:

The given sequence is 0.3, - 0.06, 0.012, - 0.0024, 0.00048 ........ so on.

Now, this is a G.P. sequence with common ratio [tex]\frac{- 0.06}{0.3} = - 0.2[/tex].

Now, the explicit formula of the given series will be

[tex]a_{n} = 0.3(- 0.2)^{n - 1}[/tex] , where [tex]a_{n}[/tex] is the nth term of the G.P. sequence.

Now, for n = 1, [tex]a_{1} = 0.3(- 0.2)^{1 - 1} = 0.3[/tex].

For, n = 2, [tex]a_{2} = 0.3(- 0.2)^{2 - 1} = 0.3 \times (- 0.2) = - 0.06[/tex] and so on. (Answer)

Answer:

a n+0.3(-0.2)n-1

Step-by-step explanation:

Answer:

Therefore the measure of[tex]\widehat{AC}[/tex] is [tex]39^\circ[/tex].

Step-by-step explanation:

Arc measure : In a circle the degree measure of an arc is equal to the measure of the central angle.

Here the value of central angle is [tex]39^\circ[/tex]

Therefore the measure of[tex]\widehat{AC}[/tex] is [tex]39^\circ[/tex].

Answer:

A bag of pop corn costs $8, and each Pretzel costs $4.25.

Step-by-step explanation:

Let [tex]b[/tex] be the price of popcorn, and [tex]p[/tex] the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation

[tex]2b+5p=37.25[/tex]  (this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25) .

And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation

[tex]8b+9p=102.25[/tex] (this says that the cost of 8 popcorn bags plus 9 Pretzels equals $102.25).

Thus, we have two equations

1. [tex]2b+5p=37.25[/tex]

2. [tex]8b+9p=102.25[/tex]

and we solve them by first multiplying equation (1) by 4:

[tex]4(2b+5p=37.25 )\rightarrow (8b+20p=149)[/tex],

and then subtracting it from equation (2):

[tex]\:\:\:\:\: 8b+9p=102.25\\-(8b+20p=149)\\\line(1,0){3 cm}\\-11p=-46.75\\\\\boxed{p=\$4.25}[/tex]

Now we put this value of [tex]p[/tex] into equation (1) and get:

[tex]2b+5(4.25)=37.25[/tex]

and we solve for [tex]b[/tex] to get:

[tex]2b=37.25-21.5[/tex]

[tex]\boxed{ b=8}[/tex]

Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.

Answer:

8 is your answer

Step-by-step explanation:

Yo sup??

no of shares=100

cost price=35.60

selling price=48.90

profit=(SP-CP)*100

=(48.9-35.6)*100

=1330

But since he loses 32.95 to the broker therefore net profit obtained is

=1330-32.95

=1297.05

Hope this helps

Final answer:

To calculate Tipeni's profit on selling the shares, subtract the total buying cost and brokerage fee from the total selling price. The profit made on these shares is $1297.05.

Explanation:

To calculate the profit Tipeni made on selling the shares, we need to find the total selling price of the shares, subtract the total buying price of the shares, and also account for the brokerage fee.

Calculate total buying cost: 100 shares × $35.60 per share = $3560.00

Calculate total selling price: 100 shares × $48.90 per share = $4890.00

Subtract the brokerage fee from the total selling price: $4890.00 - $32.95 = $4857.05

Subtract the total buying cost from the adjusted total selling price to get the profit: $4857.05 - $3560.00 = $1297.05

The profit made on these shares is $1297.05.

Answer:

Sphere

Step-by-step explanation:

Answer:

12 centimeters

Step-by-step explanation:

An isosceles triangle has two congruent sides which are legs(2 sides having same length )If x is length of each leg, then we ca write the equation like this

equation: x+x+8=32

combine like terms

2x +8 = 32

minus 8 from each side

2x=32-8

2x=24

divide both sides by 2

2x/2 = 24/2

x=12 centimeters

Answer:

no

Step-by-step explanation:

6 and 5 are the smaller sides but they only add to 11

the need to get to something higher than 12

no equal or less than

Final answer:

Segments 6, 5, and 12 cannot form a triangle because the length of one segment (12) is equal to the sum of the other two (6 + 5), which violates the Triangle Inequality Theorem.

Explanation:

The question involves determining whether three given segments can form a triangle. To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the Triangle Inequality Theorem. Given the segments 6, 5, and 12, we can test this theorem:

Since one of the conditions fails, the segments 6, 5, and 12 cannot form a triangle. Visually, it's also clear that one segment (12) is as long as the sum of the other two (6 + 5), which means they could only form a straight line, not a triangle.

Answer:

52

Step-by-step explanation:

240 ÷ 16 = 15

37 + 15 = 52

Answer:

So linear means equal so you’ll put x on one side and 750 plus 10% on one side and add an equal sign in the middle

I’m really terrible at explaining things but I hope this helped

Answer:

6

Step-by-step explanation:

Answer:

The greatest possible value of the second root will be 54.

Step-by-step explanation:

The given quadratic equation is x² - 5mx + 6m² = 0

So, we have to find the values of variable x.

Now, x² - 5mx + 6m² = 0

⇒ x² - 3mx - 2mx + 6m² = 0

⇒ x(x - 3m) - 2m(x - 3m) = 0

⇒ (x - 3m)(x - 2m) = 0

So, x = 3m and 2m.

Now, if 3m = 36

Then, m = 12 and the other root will be x = 2m = 24.

Again, if 2m = 36

Then, m = 18 and the other root will be x = 3m = 54.

So, if one root of the equation is 36 then, the greatest possible value of the second root will be 54. (Answer)

Answer:

[tex]x=34,y=-27andz=-1[/tex]

Step-by-step explanation:

Given:

[tex]2x+2y+6z=8[/tex]  equation:1

[tex]5x+6y+5z=3[/tex]     equation:2

[tex]5x+6y+3z=5[/tex]     equation:3

We have to find the value of x,y and z

Eliminating two variables to find the value of third variable

Subtracting  equation:2 from equation:3

[tex]5x+6y+3z-(5x+6y+5z)=5-3[/tex]

[tex]5x+6y+3z-5x-6y-5z=2\\-2z=2\\z=-1[/tex]

Solving the equation:1 for 'x'

[tex]2x+2y+6z=8[/tex]

[tex]2x=8-2y-6z\\2x=8-2y-6(-1)\\2x=8-2y+6\\2x=14-2y\\x=7-y[/tex]

Putting x and z in equation 2

[tex]5(7-y)+6y+5(-1)=3\\35-5y+6y-5=3\\y+30=3\\y=3-30\\y=-27[/tex]

Putting the value of 'y' and 'z' in equation:2 to find the value of 'x'

[tex]5x+6(-27)+5(-1)=3\\5x-162-5=3\\5x-167=3\\5x=3+167\\5x=170\\x=\frac{170}{5}\\ x=34[/tex]

The values of x,y and z are

[tex]x=34,y=-27andz=-1[/tex]

Answer:

8

Step-by-step explanation:

macon has 4 TIMES as many as his bro, so just divide 4.

32 / 4 = 8

Answer:

120%

Step-by-step explanation:

If the books in the bag are 5 times heavier than the bag itself then the books and the backpack together are 6 times heavier than the backpack itself, so the backpack with the books is (6 ÷ 5) × 100% = 120% heavier than the book by themselves.

Yo sup??

Let the weight of the backpack be y

and weight of books be x, then

x=5y

percentage heavier=((x+y)/x)*100

=6y/5y*100

=120%

Hope this helps.

Answer:

x = -5

Step-by-step explanation:

3(x + 1) = 2(x - 1)​

Distribute on both sides.

3x + 3 = 2x - 2

Subtract 2x from both sides.

x + 3 = -2

Subtract 3 from both sides.

x = -5

Answer:

The answer you are looking for is x = -5.

Step-by-step explanation:

First, start by distributing the 3 and 2.  This will remove the parentheses.  The way you do this is by multiplying each number or variable inside the parentheses by the number outside the parentheses.

3x + 3 = 2x - 2

Next, get the variable to one side.  One way to accomplish this is by subtracting 2x from each side.

x + 3 = -2

Lastly, move the numbers to one side.  Do this by subtracting 3 from both sides.

x = -5

There you go.  Your answer is now in the simplest form.  Confirm the answer is as simple as plugging in -5 for x in the original equation.

Answer:

The measure of an interior angle is

180° - 24° = 156°.

This polygon has 360°/24° = 15 sides.

The regular polygon has 24 sides, and each interior angle measures 165°.

The measure of an exterior angle of a regular polygon can be found using the formula: 360° divided by the number of sides.

For a polygon with 24 sides, each exterior angle measures (360° / 24) = 15°.

To find the measure of an interior angle in a regular polygon, we use the fact that the sum of exterior angles in any polygon is always 360°.

Since each exterior angle measures 15°, the corresponding interior angle measures (180° - 15°) = 165°.

The number of sides in a regular polygon can be calculated by dividing 360° by the measure of one exterior angle.

In this case, since each exterior angle measures 15°, the number of sides in the polygon is (360° / 15°) = 24.

Therefore, the regular polygon has 24 sides, and each interior angle measures 165°.

The probable question may be:

The measure of an exterior angle of a regular polygon is given below Find the measure of an exterior angle. The find the number of sides

24

What is the measure of an interior angle?

How many side does the polygon have?

Answer:

0.86(28) = 24.08

Step-by-step explanation:

Turn the percent to decimal and solve

Answer:

28$

Step-by-step explanation:

Answer:

0.00995024875622

Step-by-step explanation:

Answer:

0.0099502487562189054726

Step-by-step explanation:

divide 50 by 5025

By using the expression 8 ÷ (4 + (6 - 2)), we can follow the order of operations with the digits 2, 4, 6, and 8 to achieve a result of 2.

Tocreate an expression with a value of 2 using the digits 2, 4, 6, and 8, and following the order of operations, one possible solution involves basic arithmetic operations and a thoughtful approach to number manipulation. An example of such an expression is 8 ÷ (4 + (6 - 2)).

Here is the step-by-step explanation:

This method strictly adheres to the order of operations, ensuring that operations within parentheses are done first, followed by division, to achieve the desired result.

Final answer:

An expression using the digits 2, 4, 6, and 8 to equal the value 2 is 16 / 8, achieved by manipulating the operations and order of the digits according to precedence rules and simplifying.

Explanation:

The question requires us to use the digits 2, 4, 6, and 8, along with the correct order of operations, to create an expression that equals 2.

One way to do this is to take advantage of the properties of division and multiplication, which have the same precedence level but are performed from left to right. Using these operations, we can come up with an expression such as 8 / (4 * (6 - 2)), which equals 2. Here's the step-by-step breakdown of the expression:

Thus, the expression that uses the digits 2, 4, 6, and 8 to yield a value of 2 is 16 / 8, after simplification.

Answer:

C.

Step-by-step explanation:

as 0.05 is 1/10 of a number, multiplying 0.05 by 10 will give you the number that when divided by 10 will give you 0.05. Hence just multiply 0.05 by 10 and you get 0.5.

You apply the formula of tan^-1(15÷15) wich gives you 45 degrees

Answer:

60

Step-by-step explanation:

because there is a 6 in the one place five or greater add one more

Answer:

x = 1/2 or -3

Step-by-step explanation:

to find the zeros, we need to find the values of x which would cause y to become zero,

i.e solve x for :  

5(2x-1)(x+3) = 0   (divide both sides by 5)

(2x-1)(x+3) = 0  

hence either

2x-1 = 0   (add 1 to both sides)

2x = 1    (divide both sides by 2)

x = 1/2   --> first zero

or

x+3 = 0   (subtract 3 from both sides)

x = -3 ----> 2nd zero

Answer:

There would be 9 roses.

Step-by-step explanation:

The ratio began as 3 to 5 so in all there were 8 flowers.

If there are 24 , being that 8 x 3 = 24, then all you have to is multiply both sides of the ratio by 3.

3 x 3 = 9

5 x 3 = 15

9 + 15 = 24

New ratio is 9 to 15