Express (5a3n)3 with positive exponents.

Answer:

A≈78.54in²

Step-by-step explanation:

Can I have brainliest pls?

Using rotation rules, it is found that the resulting vector is:

v = <1, 4>

When a vector in component form <x,y> is rotated by 270 degrees, the rule is:

<x, y> -> <y, -x>

That is, x and y are switched, and the signal of x changes.

In this problem, the vector is v <-4, 1>, hence:

<-4, 1> -> <1, -(-4)> -> <1,4>

Hence, <1,4> is the resulting vector.

A similar problem is given at https://brainly.com/question/12673036

^ an = (-6) + (n-1)4

7x - 3 > 18

Add 3 to both sides

7x > 21

Divide both sides by 7:

X > 3

Since x has to be greater than 3 the smallest whole number that would work is 4

Answer: 4

Answer:

see below

Step-by-step explanation:

7x – 3 > 18

Add 3 to each side

7x – 3+3 > 18+3

7x> 21

Divide by 7

7x/7 >21/7

x > 3

The smallest integer value of x is 4

First, you factor the equation

(x-1)(x+3)=0

x=1,-3

Hope this helps :)) and btw another resource for this type of question would be desmos graphing calculator where you could just enter in the euqaoitn and get the answer!

Answer: 15

Step-by-step explanation:

So it is pretty much 60/4 which is easy 15 here is the work

1 5

4 6 0

- 4

2 0

- 2 0

0

Answer:

x ≥ $15

Step-by-step explanation:

At least means ≥

4x ≥ $60     Replace the inequality sign with an = sign and solve the equation.

4x = $60

x  = $60 ÷ 4

x = $15                 Now put the inequality sign back into the problem

 x ≥ $15

Answer: TRUE

Answer:

true

Step-by-step explanation:

both of them are probably integers.

(fyi this is a question found in grade 8 mathematics text book in ethiopia page 64)

Answer:

1 : 200

Step-by-step explanation:

To get an answer in ratio form, we must convert meters into millimeters or we can convert millimeters to meters. Then we can get our answer.

Step 1: Convert.

=> 5 millimeters : 1 meter

=> 5 millimeters : 1000 millimeters

Step 2: Simplify.

=> 5 millimeters : 1000 millimeters

=> 1 millimeter : 200 millimeters

Key Note: Answer in ratio form is always unitless.

=> 1 : 200

So therefore, 1 : 200 is our ratio. Hoped this helped.

Step-by-step explanation:

1 not function

2 function

3 not function

4 function

ihope it helps

Answer:

-3xy^3 (7xy^2z-4y-12)

Step-by-step explanation:

Simply factor out "-3xy^3." GL!

Answer:

so in both you can see that 7xy is common . Thus it is a common factor.Step-by-step explanation:

Answer: x = 25

Step-by-step explanation:

This appears to be an equilateral triangle.  All angles are shown to be the same.  This means all 3 sides will have the same length:

3x-5

4x-30

2x+20

are all equal to each other.

3x-5 = 4x-30

x = 25

----

3x-5 = 70

4x-30 = 70

2x+20 = 70

Answer:

28

Step-by-step explanation:

Given the base and height, we can split the triangle into 2.

So now the height for our right triangle with still be 25 but the base will become half of what it used to be which is 12.

Using the Pythagorean Theorem:

A^2+B^2=H^2                

a = side of right triangle

b = side of right triangle

c = hypotenuse

Plugin the values

25^2+12^2=H^2

625+144=H^2

769=H^2

27.73=H

Rounded to 28

Hope this helps :)

Answer:

20 feet

Step-by-step explanation:

The area formula is lw=A, where l is the length, w is the width, and A is the area. So, plug in the known variables. This creates the equation l15=300. Then, solve for l by dividing both sides by 15. Therefore, l=20. You can check your answer by plugging in all of the variables to create the equation 20*15=300. This is a true statement, thus 20 feet must be the correct length.

Answer:

76 inches

Step-by-step explanation:

6x12 = 72

72+4 = 76

Answer:

It would be 76 inches!

Step-by-step explanation:

Six times 12 = 72

72+4 = 76

Answer:

Rise 4 and runs -10

Step-by-step explanation:

So the slope is 4/-10

Answer:

129º

Step-by-step explanation:

This is just a guess since you didn't include the diagram

b is supplemetary to a

therefor

b = 180 - a

b = 180 - 51

b = 129º

Answer:

the width is 3

Step-by-step explanation:

you divide the 4 by 12

Answer:

2 units

Step-by-step explanation:

Area = Length × Width of a rectangle

If Length = L

Width = L-4

So 12 units = L×(L-4)

12 = L^2 -4L

L^2 -4L -12=0

Simplify this equation

L^2 + 2L -6L -12 = 0

L( L+2) - 6(L+2) = 0

(L+2) (L-6) = 0

L+2 =0 Or L-6=0

L=-2 Or L= +6

But L can't take a negative value

therefore L= 6

Now if we substitute and check,

L× (L-4) = 6×2=12 units

width = 6-4 =2 units

Answer:

I think it's 900

Step-by-step explanation:

the answer is x =  6 2/3

ok done. Thank to me :>

Answer:

1110

Step-by-step explanation:

14 in binary is 1110

Answer:

133.5

An easy way of doing this is to ignore the decimal so consider it as 89 instead because 0 is insignificant. So do 89x15 = 1335 we know that 8.90 has 1 decimal place because 0 is not significant so you just add 1 decimal place which becomes 133.5

[tex] \Large{\boxed{\sf 7 \times \dfrac{4}{21} = \dfrac{4}{3}}} [/tex]

[tex] \\ [/tex]

[tex] \blue{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \sf{\boxed{ \sf Multiplication \: of \: fractions \text{:}}}} \\ \\ \sf \dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d} \\ \\ \end{array}}\\\end{gathered} \end{gathered}} [/tex]

[tex] \\ [/tex]

[tex] \sf 7 \times \dfrac{4}{21} [/tex]

[tex] \\ [/tex]

First, write 7 as a fraction:

[tex] \\ [/tex]

[tex] \sf 7 \times \dfrac{4}{21} = \dfrac{7}{1} \times \dfrac{4}{21} [/tex]

[tex] \\ [/tex]

Then, identify the value of a, b, c, and d:

[tex] \\ [/tex]

We can finally find our answer:

[tex] \\ [/tex]

[tex] \sf \dfrac{7}{1} \times \dfrac{4}{21} = \dfrac{7 \times 4}{1 \times 21} = \dfrac{28}{21} [/tex]

[tex] \\ [/tex]

Let's simplify our answer:

[tex] \\ [/tex]

[tex] \sf \dfrac{28}{21} = \dfrac{4 \times 7}{4 \times 7} = \boxed{\boxed{\sf \dfrac{4}{3}}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about the multiplication of two fractions here:

↦https://brainly.com/question/25774102

The required frequency table as

Heights, h cm      Frequency

0 < h ≤ 5                     5

5 < h ≤  10                   4

10 < h ≤ 15                   6

15 < h ≤ 20                  5

The frequency of a variable value is the number of times it appears in a particular observational series or data.

A variable's frequency is always a positive integer.

Here the heights in the condition of 5 < h ≤  10 appear as 4.

Here the heights in the condition of 10 < h ≤ 15 appear as 6.

Here the heights in the condition of 15 < h ≤ 20 appear as 5.

The required frequency table as

Heights, h cm      Frequency

0 < h ≤ 5                     5

5 < h ≤  10                   4

10 < h ≤ 15                   6

15 < h ≤ 20                  5

Thus, the required frequency table of the given observation is above.

Learn more about the frequency of an observation here:

https://brainly.com/question/5102661

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Answer:

5/12

Step-by-step explanation:

Answer

1.make them same length

2. do not forget to include lines

Step-by-step explanation: