What is the area of a rectangle with length of 7 and width of 4x? Simplify

The correct expanded form using Laws of exponents is:

Two-thirds times two-thirds times two-thirds times two-thirds

Some of the laws of exponents are:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Now, we want to solve the expression given as: (²/₃)⁴

When we expend this, we arrive at:

²/₃ × ²/₃ × ²/₃ × ²/₃

This among the options is Option A which is:

Two-thirds times two-thirds times two-thirds times two-thirds

Read more about Laws of exponents at: https://brainly.com/question/11761858

#SPJ1

Answer:

f(x) = -5/3x + 5/3

Step-by-step explanation:

if x = 4 ; f(x) = -5

if x = -2 ; f(x) = 5

f(x) = ax + b

-5 = 4a + b (1)

and

5 = -2a + b (2)

(1) + (2)

2a + 2b = 0

a = -b

(1) -5 = 4a - a

-5 = 3a

a = -5/3

Answer :

f(x) = -5/3x + 5/3

she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

To learn more about Combinations

visit : brainly.com/question/15301090

#SPJ9

A reflection over a line l  moves every point P  of the plane to the point P ′  on the perpendicular from  P to the line l and on the same distance from l .

If the line is the  x  -axis, a point P  =  ( p 1   p 2 )  moves to the point  P ′  =  ( p 1 , − p 2 ) .

The image of the triangle A B C  is the triangle  A ′ B ′ C ′ with  B ′  =  ( 9 , − 5 )

(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment

Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.

The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:

D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63

Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)

Learn more on distance between two points here: https://brainly.com/question/7243416

#SPJ1

Answer: It’s -1,-3

Step-by-step explanation:

got 100 on the test

Answer:

It's linear

Step-by-step explanation:

Linear equations have no exponents higher than a 1, which is the case for this equation cause if there's no exponent it's cause it's just a 1. Non-linear has a exponent higher than a 1, ex. \(x^{2}\)

Answer:

Here is an example of scientific notation: 390,000,000

So all you are doing is taking the number, placing an imaginary decimal in the back, then you are going to count until you get to the first number. So in this case it will be 3.9 and when you move the decimal you will find out you move 7 places.

So your equation will be 3.9*10⁷

Now to break it down:

3.9 (factor 1)+10⁷ (factor 2) and it is to the power of 10

So what is scientific notation:

It is a short way to express a large number, and in a stander form

(I cant answer the last part hoped this helped)

Answer:

21.4 gpm

Step-by-step explanation

Answer:

Pie( r ^2)

Step-by-step explanation:

Here value of r is in inches

Step-by-step explanation:

let's call that unknown number x.

2x/3 + 3 = 31

and that means

2x/3 = 28

2x = 84

x = 42

Answer:

Step-by-step explanation:

The students cannot construct any triangles with the given side lengths because the sum of the two shorter sides of a triangle must always be greater than the longest side (i.e., the triangle inequality). However, in this case, 3 + 4 = 7, which is less than 8. Therefore, it is not possible to construct a triangle with sides of length 3, 4, and 8 inches.

So, the correct option is A - "They cannot construct any triangles with the given side lengths."

5x- 6 = 3x + 18

collect like-term

5x - 3x = 18 + 6

2x =24

Divide both-side of the equation by 2

x = 12

Answer:

9x - 6

Hope this helps! <3

(If you need a step by step lmk)

Answer:

6x+3(x-2)

6x+3x-6

9x-6

Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Answer:

Step-by-step explanation:

ok soo....

the area of the one like higher up would be 42

and then the area of the one like landscape would be 48

and then the area of like the box they make in the middle is 30

so ya i hope this helped

Answer:D or k(x)

Step-by-step explanation: Ik because I cheated like the rest of you, your welcome.

The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.

To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.

We shade the area where the circles for D and E overlap because the equation (D ⋃ E)  denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.

The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.

The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.

Learn more about Venn diagram here:

brainly.com/question/29301560

#SPJ1

Answer: You might want to know how many 24 apples are, individually, also being an accountant, mathematician, scientist, all require Math and math follows PEMDAS [Parenthesis, exponents, multiplication, division, addition, subtraction.] normally.

Step-by-step explanation:

Also, if you multiple something let's say 378x54 and get 20,412 and let's say you want to divide this huge number to a smaller number you can divide from 2 all the way up! Mathematics is not just something we have to learn, it's also something we can use!

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

9514 1404 393

Answer:

  15.46 m

Step-by-step explanation:

Side ratios of a 30°-60°-90° triangle are 1 : √3 : 2. That is, the height of the tree above eye-height is √3 times the distance from the trunk. The top of the crown will be at a height of ...

  1.6 m + (8 m)√3 ≈ 15.46 m

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

The statement that describes the second stage of the repeated-measures ANOVA is: it removes individual differences from the denominator.

The repeated-measures ANOVA is a two stage process that is described as analysis of dependencies. This test is used to prove an assumed cause-effect relationship between varaibles (dependent and independent).

The means across one or more variables which have repeated observations are compared using the repeated-measures ANOVA.

Learn more about the repeated-measures ANOVA on:

https://brainly.com/question/15394749

Answer:

i don't know i think its 20 in my opnian

Step-by-step explanation:

i don't know sorry

Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

The equivalent fractions for the mixed numbers, with the same denominator, are given as follows:

32/12 and 27/12.

The mixed numbers in the context of this problem are given as follows:

The fractions that represent each number are given as follows:

The least common factor of 3 and 4 is given as follows:

3 x 4 = 12.

Hence the equivalent fractions are given as follows:

More can be learned about equivalent fractions at https://brainly.com/question/17220365

#SPJ1

Answer:

34°

Step-by-step explanation:

complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.

Answer:

there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Step-by-step explanation:

The counting principle states that if there are n ways to do one thing and m ways to do another, then there are n x m ways to do both.

In this case, we want to determine how many ways we can select 3 batteries out of 6. Using the counting principle, we can break down the selection process into three steps:

Select the first battery. There are 6 choices for the first battery.

Select the second battery. There are 5 choices left for the second battery, since we've already selected one.

Select the third battery. There are 4 choices left for the third battery.

Using the counting principle, we can multiply the number of choices for each step to get the total number of ways to select 3 batteries:

6 x 5 x 4 = 120

Therefore, there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Answer:

To convert a fraction into a decimal, divide the top number by the bottom number. What about with denominators that don't divide into 10, 100 or 1000, such as 7? You still divide the denominator into the numerator, no matter what the numbers are.

Step-by-step explanation:

ok