Consider the difference of cubes identity: a3 − b3 = (a − b)(a2 + ab + b2). For the polynomial x3 − 64, a = and b =

Answer:

Third Quartile: 16

Step-by-step explanation:

In the box plot given, the five-number summary displayed are:

1. Min = 2

2. First quartile = 4

3. Median = 8

4. Third Quartile = 16

5. Max = 20

Therefore, the statement that is true about the box plot is "Third Quartile: 16". All other statements regarding the box plot are incorrect and untrue.

Answer:

9x - 5  

Step-by-step explanation:

Simplify:

Correct choice: B. 9x -5

Answer:

9x - 5

Step-by-step explanation:

Answer:

10 cm

Step-by-step explanation:

The diagonal d divides the rectangle into 2 right triangles with legs 8 and 6 and hypotenuse d

Using Pythagoras' identity in one of the right triangles, then

d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )

d = [tex]\sqrt{100}[/tex] = 10 cm

Answer:

[tex]\huge\boxed{c = 10\ cm}[/tex]

Step-by-step explanation:

Using Pythagorean Theorem

[tex]c^2 = a^2 + b^2[/tex]

Where c is the length of diagonal, a and b are the length of the rest 2 sides

=> [tex]c^2 = 8^2+6^2[/tex]

=> [tex]c^2 = 64 + 26[/tex]

=> [tex]c^2 = 100[/tex]

Taking sqrt on both sides

=> c = 10 cm

Answer:

there is not enough information this question makes no sense if you can give me more info in the comments i can edit my answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1

If the printing company charges $50 fee for each color to be printed on shirts, then the total number of colours on the short will cost $30C.... 2

where C is the total amount of colours on all the shirts.

The equation that will represents the relationship between the number of T-shirts orders, the number of colors on shirts and the total cost of the order will be gotten by taking the sum of equation 1 and 2.

The equation needed will be 3(75) + 30C where C is the total amount of colours on all the shirts ordered.

Answer:

Step-by-step explanation:

x = 360° - 2•90° - 2•58° = 64°

Answer:

Step-by-step explanation:

4p - p = 4p - 1p = (4 - 1)p = 3p

Answer:

10. 285

11. [tex]6\frac{3}{4}[/tex]

16.a. Stiles Family

Reason-The Styles family uses  twice as much as the other two, because the electric consumption per person (which is =745 KWh) is much higher than the other two.

16.b. Mendelez family

Reason-The Mendelez family uses the least amount of water, because the water usage  per person (which is =875 gallons) is much lower than the other two.

Step-by-step explanation:

10. In 6 mins, no. of machine parts produced = 114

in 1 min, no. of machine parts produced = 114/6

in 15 min, no. of machine parts produces  [tex]\frac{114 *15}{6}\\=285[/tex]

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11. To make 8 jumbo muffins take, amount of baking powder used = [tex]1\frac{1}{2} =\frac{3}{2}[/tex]

To make 1 jumbo muffin, amount of baking powder used = [tex]\frac{3}{2} / 8[/tex] =3/16

To make 3 dozens = (3 * 12 )= 36 muffins, amount of baking powder used =  36 *3/16

[tex]=\frac{27}{4}[/tex] =[tex]6\frac{3}{4}[/tex]

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16. a. Electricity consumed by 1 person in the Mendelez family :

=1560/4

=390 KWh

Electricity consumed by 1 person in the Barton family:

=2130/6

=355 KWh

Electricity consumed by 1 person in the Styles Family:

=1490/2

=745 KWh

The Styles family uses  twice as much as the other two, because the electric consumption by 1 person is much higher than the other two.

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16.b. Water consumed by 1 person in the  Mendelez family = 3500/4=875 gallons

Water consumed by 1 person in the Barton family = 6400/6=1050 gallons

Water consumed by 1 person in the Styles family =2500/2=1250 gallons

Answer:

364

Step-by-step explanation:

2✖️7=14

5✖️7=35

because 14 is two digits, you move the one and plus it to 35 which makes 36.

Leave the 4, and it becomes 364.

Answer:

[tex]\Huge \boxed{364}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

52 × 7

52 = 50 + 2

50 × 7 = 350

2 × 7 = 14

Adding 350 and 14,

350 + 14 = 364

[tex]\rule[225]{225}{2}[/tex]

Answer:

The cost of dinner plus a 15% tip was $23. How much is the dinner?

the cost of the dinner = $20

Step-by-step explanation:

Given that:

p= cost of dinner

0.15p = cost of a 15% tip

p + 0.15 p = 23

The objective is to represent this problem in words based on the given information.

From above, we can say that:

The cost of dinner plus a 15% tip was $23. How much is the dinner?

SO;

p + 0.15 p = 23

1.15 p = 23

Divide both sides by 1.15

p = 23/1.15

p = 20

Therefore, the cost of the dinner = $20

Answer: -760+320-80=-520 (feet below sea level)

Step-by-step explanation: The submarine is 760 feet below sea level making the number negative. Then it says if it goes up 320 feet and then down 80 feet, your going to add 320 feet but then subtract 80 feet to get your position

Answer:

x=5

Step-by-step explanation:

you need to do dirty math stuff for these kind of Q. not hard you just need to do it, or use computer graphs to solve them.

Answer:

false

Step-by-step explanation:

because any number with power "0" always gives 1

Answer:

False

Step-by-step explanation:

[tex]x \in \mathbb{Q}[/tex]

[tex]x \cdot 0=x[/tex]

This statement is false.

Take the example:

[tex]$\frac{1}{2} \cdot 0\neq \frac{1}{2} $[/tex]

[tex]$\frac{1}{2} \cdot 0=0$[/tex]

The product of any number and 0 is 0.

Answer:

c. 80 cm

Step-by-step explanation:

Area of a parallelogram = base × height

A = 16 cm × 5 cm

A = 80 cm

Answer:

Step-by-step explanation:

[tex]Base =16\\Height =5\\Area = Base\times Height\\= 16 \times 5\\= 80cm[/tex]

The composite of functions f(x) and g(x) is given by:

[tex](f \circ g)(x) = -60x + 383[/tex]

[tex](f \circ g)(x) = f(g(x))[/tex]

In this problem, the functions are:

[tex]f(x) = 30x - 7[/tex]

[tex]g(x) = 13 - 2x[/tex]

Hence, the composite function is:

[tex](f \circ g)(x) = f(g(x)) = f(13 - 2x) = 30(13 - 2x) - 7 = -60x + 383[/tex]

You can learn more about composite functions at https://brainly.com/question/17684028

Answer:

nose  que sad es tu vida

Step-by-step explanation

.:{

Answer:

26x-23y

Step-by-step explanation:

1. expand the terms 2x-18y+24x-5y

2. combine like terms 26x-23y

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

Work Shown:

I'm assuming your teacher meant to say the ramp is 7 meters long and the ramp rises up 4.2 meters. It doesn't make sense the way they phrased it initially since the ramp must be the longest part (it is the hypotenuse of the right triangle).

See diagram below.

The angle of elevation is the angle made between the ramp and the ground. It's the angle amount the ramp tilts upward.

sin(angle) = opposite/hypotenuse

sin(theta) = 4.2/7

sin(theta) = 0.6

theta = arcsin(0.6)

theta = 36.869897645844

theta = 36.9

Note: inverse sine or [tex]\sin^{-1}[/tex] is the same as arcsine. Make sure your calculator is in degree mode.

Answer:

0.25

Step-by-step explanation:

From the information given, you can say that the current value of a baseball card is equal to 60 multiplied for its original value and the equation is:

c=60v, where: c is current value and v is original value

Now, you can replace the current value with 15 that is the value of the baseball card and solve for v:

15=60v

v=15/60=0.25

According to this, the original value of the baseball card is 0.25.

Answer:

Step-by-step explanation:

h(3) = 1

h(5) = 3

Their products :

[tex]3 \times 1 \\ = 3[/tex]

Answer:

12ft

Step-by-step explanation:

Because 20-8=12...

Answer:

They are -12 ft   or 12 ft below the surface of the water

Step-by-step explanation:

20 feet under the surface of the water

-20

ascends 8 feet

+8

-20+8 = -12

They are -12 ft   or 12 ft below the surface of the water

Answer:

B.

Step-by-step explanation:

3/5 = 0.6

11/26 = 0.423

Answer:

 b

Step-by-step explanation:

3/5 ⇒0.6

11/26⇒0.423

option a is wrong as

         0.6 is not less than 0.432

option  b is correct as

        0.6 is greater than 0.4

option c is wrong as

            0.6≠0.432

Solution :-

First of all we have to find out the least common multiple of the given three numbers.

27 , 30 and 45

27 = 3 x 3 x 3

30 = 2 x 3 x 5

45 = 3 x 3 x 5

Form these factors we have to find the numbers which are common in all the three .

LCM = 2 x 3 x 3 x 3 x 5 = 270 .

Now 270 is completely divisible but the number which we want leaves 3 as remainder.

So adding 3 in 270 .

→ 273 is the required answer.

Answer:

1.4

Step-by-step explanation:

12x - 15 = 6 -3x

12x +3x = 6 +15

15x = 21

x = 1.4

Answer:

The two numbers are 5 and 1. Their product is 5

Step-by-step explanation:

x + y = 6 (*)

x - y = 4 (**)

Let (*) + (**)

--> (x+y) + (x-y) = 6 + 4

<=> 2x = 10 <=> x = 5

Substitute x= 5

(*) <=> 5 + y = 6

<=> y=1

Answer: (x,y) = (5,1)

Their product: x.y = 5x1 = 5

Answer: The sets are:

b and d.

Step-by-step explanation:

A set is a collection of distinct objects, a set must be well defined, and it can contain numbers, people, objects, etc. (sets can contain infinite elements, for example, the set of the real numbers has infinite elements)

A) The current U.S senators from Texas.

Ok, the "current U.S senators from Texas" depend on when this is read. For example, the senators of today will not be the same as the senators in 10 years from now.

So the elements of this set today are not the same as the ones in 10 years, then this is not a well defined set.

A weel defined set in this case, would be:

"The U.S senators from Texas for the year 2020"

So this is a set of numbers, we know that 1987 is a prime number, so the only prime number that divides 1987 is 1987.

Then this set is {1987}

is well defined.

c) All the people in Mexico.

A person is well defined.

So when i say "all the people in Mexico has for now" we can find all those "elements" and make a set with them.

But the people in Mexico change, so the elements of this set actually depend on when this is read, so this is not well defined.

D) Al the prime numbers between 8 and 10.

Well, we do not have any prime number between 8 and 10, so this is an empty set:

{∅}

Answer:

-i

Step-by-step explanation:

[tex]i^{79}\\ i^{76+3}\\ i^{3}\\-i[/tex]

Answer:

Step-by-step explanation:

m∠BAD = 0.5m∠BCD = 0.5•126° = 63°

The  angles in quadriteral add to 360°, so:

m∠ABC + m∠BAC + m∠ACD + reflex m∠BCD = 360°

m∠ABC + 63° + 33° + (360° - 126°) = 360°

m∠ABC + 96° - 126° = 0

m∠ABC = 30°

Answer:

n = 14

Step-by-step explanation:

7n +9 = -1+6(n+4)

Distribute

7n+9 = -1 +6n+24

Combine like terms

7n +9 = 6n +23

Subtract 6n from each side

7n -6n+9 = 6n-6n +23

n+9 = 23

Subtract 9 from each side

n+9-9=23-9

n = 14