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Answer:

[tex] {4a}^{4} \times {7a}^{5} \\ \\ = (4 \times 7)( {a}^{4} \times {a}^{5} ) \\ \\ = 28( {a}^{4} \times {a}^{5} )[/tex]

from law of indices:

[tex] {n}^{x} \times {n}^{y} = {n}^{(x + y)} [/tex]

therefore:

[tex] = 28 \{ {a}^{(4 + 5)} \} \\ \\ = 28 {a}^{9} [/tex]

Answer:

28a^9

Step-by-step explanation:

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

You can see from the diagram that the shaded 1/4 of the second rectangle has the same dimensions as 2 of the 3 shaded parts of the first rectangle.

  2/3 of 3/8 is in 1/4

Answer:

Yes this statement is true because 0/3 is 0

Answer:

False.

Step-by-step explanation:

x = 0 would be the only solution to make the statement true. Anything other than x = 0 will make the statement false.

Answer:

B) [tex]\sqrt{13}[/tex]

Step-by-step explanation:

1.  [tex]d = \sqrt{(-3-0)^2+(-2-0)^2}[/tex]

2. [tex]d=\sqrt{(-3)^2+(-2)^2}[/tex]

3. [tex]d=\sqrt{9+4}[/tex]

4. [tex]d=\sqrt{13}[/tex]

[tex]\sqrt{13} = 3.60555..[/tex]

Answer:

8

Step-by-step explanation:

AB = 5 + | -3 |

Ab = 8

hope that helps

Answer:

see below

Step-by-step explanation:

We can use the distance formula

11. d =sqrt( (y2-y1)^2 + (x2-x1) ^2)

  = sqrt( (-3 --5)^2+(-6 - -1)^2)

  = sqrt( (-3+5)^2 + (-6+1)^2)

  = sqrt( 2^2 + (-5)^2)

  = sqrt (4+25)

  = sqrt(29)

12. Using the points ( 1,3) and (4,-1)

d =sqrt( (y2-y1)^2 + (x2-x1) ^2)

  = sqrt( (-1-3)^2+(4-1)^2)

  = sqrt( (-4)^2+(3)^2)

 = sqrt(16+9)

 =sqrt(25)

 =5

Answer:

11. d =sqrt( (y2-y1)^2 + (x2-x1) ^2)

 = sqrt( (-3 --5)^2+(-6 - -1)^2)

 = sqrt( (-3+5)^2 + (-6+1)^2)

 = sqrt( 2^2 + (-5)^2)

 = sqrt (4+25)

 = sqrt(29)

12. Using the points ( 1,3) and (4,-1)

d =sqrt( (y2-y1)^2 + (x2-x1) ^2)

 = sqrt( (-1-3)^2+(4-1)^2)

 = sqrt( (-4)^2+(3)^2)

= sqrt(16+9)

=sqrt(25)

=5

Step-by-step explanation:

Answer:

The age of Anis mother in year [tex]2021[/tex] is [tex]48[/tex] years.

Step-by-step explanation:

The given statement is that the mother was [tex]32[/tex] years old when Anis was born, which means that Anis was zero year old.

After [tex]x[/tex] years, Anis is [tex]x[/tex] years old, in year [tex]2021[/tex], so her mother will also grow by [tex]x[/tex] years, so her mother's age will become [tex](32+x)[/tex] year.

But Anis mother's age is now [tex]3[/tex] times her age when she is [tex]x[/tex] years old, so her mother's age is [tex]3x[/tex] years, in year [tex]2021[/tex].

But her mother's age is also [tex](32+x)[/tex] years, in year [tex]2021[/tex].

So, the equation will become,

[tex]\begin{aligned}3x&=32+x\\3x-x&=32\\2x&=32\\x&=16\end{aligned}[/tex]

Her mother's age in year 2021 is,

[tex]\begin{aligned}3x&=3(16)\\&=48\:\rm{yrs}\end{aligned}[/tex]

Answer:

7.5 dollars per yard

Step-by-step explanation:

you have 0.2 yards and constant of proportionality is when its constant so you make 0.2 into 1. you multiply it 5 times. so you also multiply 1.50 5 times too. which gets you to 7.5 or $7.50.

Answer:

38°

Step-by-step explanation:

hope this answer helps you

Answer:

50 es el valor  

Step-by-step explanation:

Answer:

30*3/5=18

Step-by-step explanation:

Answer:

X= -9/4 and Y=9

Step-by-step explanation:

Answer:

There are many answers but one example would be (1,13)

Step-by-step explanation:

In order to find this, we simply need to select an x and it will help us find y. Our x for this case will be one. Now we put that into the equation and solve for the y value.

y=4x+9

y=4(1)+9

y=4+9

y=13

This gives us the ordered pair of (1,13)

hope this helps :D

brainliest appreciated

Answer:

y=-4/7x+2

Step-by-step explanation:

7y=14-4x

y=2-4/7x

Answer:

penalties should post to a contra-income account interest charged should post to a payable account, and early payment discount  (credit) should post to an income account.

Step-by-step explanation:

Answer:

120 cm

Step-by-step explanation:

1/2 is 6 months and 6 years are 72 months.

Using the rule of three, 10 cm is to 6 months what x is for 72 months so

x = (72 * 10) / 6 = 120

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Answer:

  17.5 mi/gal

Step-by-step explanation:

You can think of "per" as meaning "divided by." Then "miles per gallon" means "miles divided by gallons:"

  (166.25 mi)/(9.5 gal) = 17.5 mi/gal

John's car gets 17.5 miles per gallon.

Answer:

3(y+14)

Step-by-step explanation:

3y+42 14 x2 =42 so for there' it would be 3(y+14)

3(y+14)

Step-by-step explanation:

An equivalent set is a set that has equal numbers or items.

Answer:

[tex] {x}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{2} }{ {x}^{2} } \times {x}^{2}[/tex]

[tex] {1x}^{2} = {x}^{2} [/tex]

[tex] = {x}^{2} [/tex]

Answer:

(2n) x 5 = b

n = unknown number

b = product

Step-by-step explanation:

Answer:

7 and 14  

28 and 7

Step-by-step explanation:

7 & 14's GCF is 7 since it's the largest factor for both of them.

21 & 3's GCF is 3 since it's the largest factor for both of them.

7 & 1's GCF is 1 since it's the largest factor for both of them.

28 & 7's GCF is 7 since it's the largest factor for both of them.

Answer:

7 and 14

28 and 7

Step-by-step explanation:

7/7 = 1

14/7 = 2

28/7 = 4

21 and 3, gcf = 3

7 and 1, gcf = 1

Step-by-step explanation:

Well,you can count the zeros that will give you the exponent.

For example:

100 has two zeros so the exponent form will be

[tex] {10}^{2} [/tex]

For 10,000,it has 4 zeros.The exponent form is

[tex] {10}^{4} [/tex]

21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100 are all composite numbers greater than 20. Next time do a quick search before resorting to brainly.

Answer:

Step-by-step explanation:

a)-2x-10<-14

  -2x     <-14+10

        -2x< -4

      x>2

The number line is on the attachment.(remember: when you draw the number line you should not colour the circle)

b)x+4/3 < or = to -1

   x+4/3 * 3 < or = to -1*3

   x+4-4 < or = to -3-4

    x < or = to -7

The number line is on the attachment.(remember: when you draw the number line you should colour the circle cause in here x is less than or equal to -7)

Hope this helps you

If you have any questions just ask

Answer:

18x^2 - 9

Step-by-step explanation:

y = f(x)= 6x^3 - 9x + 4

dy/dx = d/dx(6x^3) - d/dx(9x) + d/dx (4)

=6.d/dx(x^3) - 9.d/dx (x) + d/dx. (4)

=6.3x^2 - 9.1 + 0 =18x^2 - 9

Answer:

total amount of fruit juice consumed is 2.28 x 10^9

total population = 3 x 10^8

per person is

total consumption / total population

therefore;

2.28 x 10^9/3 x 10^8

= 7.6 gallons per person

hope it's helpful

The average number of gallons consumed per person in the country was 7.60 gallons per person.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Given that,

Total consumption of fruit juice 2.28 x 10⁹ gallons

The population of that year = 3 x 10⁸

The average number of gallons consumed per person ⇒

2.28 x 10⁹ / 3 x 10⁸

⇒ 22.8 x 10⁸ / 3 x 10⁸

⇒ (22.8/3) × 10⁸/10⁸

⇒ 7.6

Hence "The average number of gallons consumed per person in the country was 7.60 gallons per person".

To learn more about the arithmetic operators,

brainly.com/question/25834626

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Answer:34.5

Step-by-step explanation:

5.25 x 6 + 3.

You multiple 5.25 however many hours it says and then you have the 3$ for the fee.