A, B and C lie on a straight line.
Given that angle y = 144° and angle z =
92°, work out x.
A
x
Z
The diagram is not drawn accurately.
B
C

Answer:

Below:

Step-by-step explanation:

1. 2 15/28  

2. 2 7/10  

3. 5/6

4. 1  5/12

5. 2 1/12

To limit the risk of alienating the entire target audience it needs to release the design to a small number of randomly chosen members .

target audience serves as a term that describes the people that a particular work or a product is been directed to.

Therefore, as a popular social networking website who want to limit the risk of alienating target audience, it should work randomly.

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The types of mortgages and their descriptions are:

There are various types of mortgages to take care of the people of different economic situations.

For instance, government insured mortgages help reduce mortgage rates but require a down payment of 20% of the mortgage and fixed rate mortgages allow for the same payment for the mortgage's life.

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Since the customers can choose among 5 drinks, 4 main dishes, and 5 sides. there 100 different combo meals are possible.

Since order is not important we use combination to solve the problem

This is the number of ways in which x objects can be selected out of n objects. It is given mathematically as ⁿCₓ = n!/x!(n - x)!

Now, given that the customer can choose among 5 drinks, 4 main dishes, and 5 sides.

There are ⁵C₁ ways of choosing the drinks.

So, ⁵C₁ = 5!/1!(5 - 1)!

= 5!/1!/4!

= 5

There are ⁴C₁ ways of choosing the main dishes.

So, ⁴C₁ = 4!/1!(4 - 1)!

= 4!/1!/3!

= 4

There are ⁵C₁ ways of choosing the sides.

So, ⁵C₁ = 5!/1!(5 - 1)!

= 5!/1!/4!

= 5

So, total number of ways of choosing the combo meals is

⁵C₁ × ⁴C₁ × ⁵C₁ = 5 × 4 × 5

= 100 ways.

So, there 100 different combo meals are possible.

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Answer: The answer is 100

Step-by-step explanation:

Answer:

mean: 68

median: 76.5

mode: 23, 95

range: 93

Step-by-step explanation:

Put numbers in order:

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

mean: sum of the terms / number of terms

sum of the terms: 17 + 23 + 23 + 64 + 67 + 86 + 95 + 95 + 100 + 110 = 680

number of terms: 10

680 / 10 = 68

median: number of terms / 2

10 / 2 = 5, 5th number on the list

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

between 67 and 86 since its an even number data set

67 + 86 / 2 = 76.5

mode: the most occurring number

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

- 17, 64, 67, 86, 100, 110 has 1 each

- 23 has 2

- 95 has 2

23 and 95 have the same reoccurring amount

range: max - min numbers

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

110 - 17 = 93

NO outliers

Hope this helps you a little more for your last day of finishing hmw :)

Let me know if you need anymore help !

OR have questions

Explanation:

Expression: d = 16t² where d is distance. t is time.

1)

Here t = 2

d = 16(2)²

d = 64 feet

2)

h = 906-t²

h = 906 - 16(2)²

h = 842 feet

3)

expression of height: y = 906 - 16t²

Answer:

Step-by-step explanation:

Q1

Q2

Q3

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

0 = x² - 4x - 5

we can solve this by factoring.

that means we need to find a and b so that

(x - a)(x - b) = x² - 4x - 5 = 0

and x = a and x = b are the 2 solutions of the quadratic equation.

x² - ax - bx + ab = x² - 4x - 5 = 0

x² - (a+b)x + ab = x² - 4x - 5 = 0

a+b = 4

ab = -5

that means that either a or b has to be 5 and the other -1.

so, the result is

(x - 5)(x + 1) = 0

x = 5

or

x = -1

are the possible solutions.

since we are only looking for positive integers, x = -1 is not a valid solution.

and only x = 5 remains as valid solution.

therefore, the 2 positive consecutive odd integers are

5, 7

Answer:

12 inches.

Step-by-step explanation:

You have to use the pythagorean formula. The measurements you stated form a right angle. Therefore, a^2 + b^2 = c^2. In this equation, we know c=13, and b=5. So therefore c^2 - b^2 = 144. We have to solve for a, so square root 144 to get 12.

Answer:12 in

Step-by-step explanation:

Answer:

charlie brown chicken sandwich

Step-by-step explanation:

The upper part of the x-axis is a quadratic function and the equation of the upper part is: y = 4 - x^2; -2 < x < 2

The equations are given as:

y = x^2 - 4

y = 4 - x^2

When these equations are plotted, the upper part of the x-axis is a quadratic function that has the following properties:

Zeros = -2 and 2

Because the upper x-axis is open upwards, the equation of the graph is:

y = -(x - zeros)

So, we have:

y - (x - 2)(x + 2)

Evaluate

y = 4 - x^2

Hence, the equation of the upper part is:

y = 4 - x^2; -2 < x < 2

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The expression in the 6th term in the binomial expression is [tex]265781250y^6[/tex]

The expression is given as:

(5y + 3)^10

The above expression is a binomial expression, and the xth term can be represented using:

[tex]^nC_x (a)^x * (b)^{n-x}[/tex]

So, we have:

[tex]^{10}C_6 * (5y)^6 * (3)^4[/tex]

Evaluate the combination expression

[tex]210 * (5y)^6 * (3)^4[/tex]

Evaluate the exponents

[tex]210 * 15625y^6 * 81[/tex]

Evaluate the product

[tex]265781250y^6[/tex]

Hence, the expression in the 6th term is [tex]265781250y^6[/tex]

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Answer:

$875

Step-by-step explanation:

Jill was given $175 and her mother was given 5 times the amount.

Multiply 175 and 5.

Answer:

line

Step-by-step explanation:

quizlet

cliffnotes

Answer: vertical angles theorem

Step-by-step explanation:

Answer:

Volume = 12 ft^3

Step-by-step explanation:

Vol = length×width×height

= 3×4×1

= 12

The volume is 12 cubic feet.

Answer:

[tex]\displaystyle \binom{-8}{6}[/tex]

Step-by-step explanation:

The car's starting position is 2 miles south of the town center.  If it travels 6 miles north, then it will be 4 miles north of the town center.

The car's starting position is 5 miles east of the town center.  If it travels 8 miles west, it will be 3 miles west of the town center.

Therefore, its final position is 4 miles north and 3 miles west of the town center.

If the car travels 6 miles north from it's starting position, the y-value of the vector will be 6, as the car is moving in a positive direction along the y-axis.

If the car travels 8 miles left, the x-value of the vector will be -8, as the car is moving in a negative direction along the x-axis.

Therefore, the single translation vector that moves the car from its starting position to its final position is:

[tex]\displaystyle \binom{x}{y}=\binom{-8}{6}[/tex]

6 full teams will be made.

If you take 62 and divide it by 9, you'll get a value of 6.88... or it can also be notated as 6 remainder 8. You will be able to make 6 full teams but your last team will only have 8 members, which does not have the full 9 members.

Answer:

Below.

Step-by-step explanation:

I can do this using calculus but the algebra will be a bit messy.

Let the 2 equal sides of isosceles triangle be x and the base be y units long.

Then perimeter p = 2x + y.

Area A = 0.5yh  where h is the altitude of the triangle.

h =  sqrt [x^2 - (0.5y)^2]

=  [x^2 - (0.5y)^2]^0.5

So A = 0.5y * [x^2 - (0.5y)^2]^0.5

From the perimeter formula y = p - 2x so:

A = 0.5(p-2x) * [x^2 - (0.5(p-2x)^2]^0.5

A = 0.5(p-2x) * [x^2 - 0.25(p^2 - 4xp + 4x^2)]^0.5

A = 0.5(p-2x) * [x^2 - 0.25p^2 + xp - x^2]^0.5

A = (0.5p-x) * [xp - 0.25p^2]^0.5

We now find the derivative and equate it to zero to find the value of x which corresponds to a maximum area.

We use the product rule:

dA/dx =   (0.5p-x)* 0.5(xp - 0.25p^2)^(-0.5) * p  - 1(xp - 0.25p^2)^0.5 = 0

p(0.5p - x) / (2((xp - 0.25p^2)^0.5 -  (xp - 0.25p^2)^0.5 = 0

p(0.5p - x) / (2((xp - 0.25p^2)^0.5 =  (xp - 0.25p^2)^0.5

Now multiplying though by (2((xp - 0.25p^2)^0.5 :-

p(0.5p - x) = 2 (xp - 0.25p^2)

0.5p^2 - px = 2px - 0.5p^2

p^2 = 3px

x = p^2/3p = p/3

So for a maximum value of the area x = p/3.

But y = p - 2x

         = p - 2(p/3)

          = p -  2/3p

           = p/3

- but we've just shown that x = p/3

That means that x = y and the triangle is Equilateral.

Answer:

22 pounds of watermelon

Step-by-step explanation:

First find cost per pound
19.60/8=2.45
$2.45 per pound
Then divide $53.90 by $2.45 to determine how many pounds you can buy
53.90/2.45=22
22 pounds of watermelon

Answer:

9. 21

10. QP, 8, 18

Step-by-step explanation:

9.

2(4x-65) = 2x-4

6x = 65*2-4 = 126

x = 21

10.

a. QP

b. 8

c. 18

This line is fairly close to the majority of the points shown. Unfortunately there's an outlier left out, but it isn't too far from the main cluster. The further the outlier is, the more pull it will drag the line away from the main cluster.

Line Q

Q is correct

Answer:

60

Step-by-step explanation:

lets say the number is X so:

X-3/4X=15

then multiple both sides by 4 then you will get

4X-3X=60

SO:X=60

Answer:

Step-by-step explanation:

let x be the number that we are trying to figure out.

the statement “The difference between a number and three fourths of itself is 15”  means  x + (3/4)x = 15

then

(1/4)x = 15

Then

x = 4 × 15

Then

x = 60

See below for the proof of the equation 4h² - 4dh + x² = 0 using the Pythagoras theorem

The Pythagoras theorem states that:

Hypotenuse² = Opposite² + Adjacent²

The question is incomplete, as the figure is not given.

So, I will complete the proof using the following parameters:

Substitute the above values in the following equation

Hypotenuse² = Opposite² + Adjacent²

So, we have:

(2√dh)² = x² + (2h)²

Evaluate the exponents

4dh = x² + 4h²

Subtract 4dh from both sides

0 = x² + 4h² - 4dh

Rewrite as:

4h² - 4dh + x² = 0

Hence, the equation has been proved

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The probability that the director chooses 3 boy kittens and 2 girl kittens is 0.32.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have total number of kitten = 4+5 = 9

Total number of outcomes if the director is going to choose 5 of these kittens at random to be in the commercial:

= C(9, 5) = 126

The director chooses 3 boy kittens number of ways:

= C(4, 3) = 4

The director chooses 2 girl kittens number of ways:

=C(5, 2) = 10

Total favourable outcomes = 10×4 = 40

The probability = 40/126

= 0.317 ≈ 0.32

Thus, the probability that the director chooses 3 boy kittens and 2 girl kittens is 0.32.

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Answer:

A. 27 ft^3

Step-by-step explanation:

cube root of 729 is

9

1/3 of 9 is

3

volume of a cube with an edge of 3 is

3^3 =

27

Answer:

-x^2-4x+2

Step-by-step explanation:

(-2,6) (0,2) (2,-4)

Answer:1.  72.5

Step-by-step explanation: in number one you add so is equal to 0.2 ÷ 14.5

number to we put 1÷25(42,000) so is equal to 1680 the we substract 42000-1680=40,320

Answer:

B. f(x) is shifted left by 6 units

Step-by-step explanation:

when we talk about translations, we know they happen along the X axis, y axis or sometimes both, in this case we see that were subtracting x by six units, so we are moving left along the x axis

ways to remember this is:

 -you count up x the RIGHT way going right

 -you count UP y

and of cource by process of ellimination we know that decreasing X goes left and decreasing y goes down

ALSO NOTE: x always goes horizontally and y always goes vertically