zoes living room rug is 3 feet wide and 7 feet long she will cover the rug with 6 inch cardboard pieces for a painting project how many cardboard pieces will zoe need

Explanation:

___

Similar relationships pertain to the diagonal BD and segments EH and FG. You can also conclude that area EFGH is half of area ABCD by considering the various triangles you get by connecting midpoints different ways.

Answer:

B

Step-by-step explanation:

The domain is all possible values of x.  Here, x is the number of $5 nontaxable items.  So x must be an integer, and it can't be negative.  It is possible for x to be 0.  So x is all whole numbers.

The practical domain for the function f(x) which represents the total amount spent at a store is all whole numbers. Option B is correct.

Domain of a function is the set of all the possible input values which are valid for that function.

The function ​f(x) represents the total amount spent at a store.  The purchasing number of x items which are $5 each and the items which are not taxable is represented by x.

Thus, this function can be given as,

f(x)=5x

Now the domain of a function is the set of all the possible input values which are valid for that function. Thus, for this case the domain is,

-∞<x<∞

(-∞,∞)

For the practical domain, the numbers should be whole number to avoid negative amount value and integer amount.

Hence, the practical domain for the function f(x) which represents the total amount spent at a store is all whole numbers. Option B is correct.

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Answer:

Part A) The system has one solution

Part B) The solution is the point (4,4)

Step-by-step explanation:

step 1

Find the equation of the line A

we have

(0,6) and (6,3)

Find the slope

m=(3-6)/(6-0)

m=-0.5

Find the equation of the line into slope intercept form

y=mx+b

we have

m=-0.5

b=6 -----> the point (0,6) is the y-intercept

substitute

y=-0.5x+6 ------> equation A

step 2

Find the equation of the line B

we have

(0,0) and (6,6)

Find the slope

m=(6-0)/(6-0)

m=1

Find the equation of the line into slope intercept form

y=mx+b

we have

m=1

b=0 -----> the line represent a direct variation

substitute

y=x ------> equation B

step 3

Find how  many solutions does the pair of equations for lines A and B have

we have

y=-0.5x+6 ------> equation A

y=x ------> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both lines

using a graphing tool

There is one point of intersection

therefore

The system has one solution

see the attached figure

step 4

What is the solution to the equations of lines A and B?

we know that

The solution of the system of equations is the intersection point both lines

The intersection point is (4,4)

therefore

The solution is the point (4,4)

so

x=4,y=4

Answer:

Step-by-step explanation:

Let's say the numbers are x and y, and y is larger than x.

x + y = 27

y = 6 + 2x

Substitute:

x + (6 + 2x) = 27

3x + 6 = 27

3x = 21

x = 7

So x = 7 and y = 20.

Answer:

9

Step-by-step explanation:

coefficients = numbers in front of variables (x, x^2 etc)

so 5 + 3 + 1 = 9

In the expression 3x^4 + 5x^2 + x, the coefficients are 3, 5, and 1. Adding these values together gives a sum of 9.

In the expression 3x^4 + 5x^2 + x, the coefficients are 3, 5, and 1 respectively. The term x is implied to have a coefficient of 1 though it is not written explicitly. We find the sum of the coefficients by simply adding all these values together. So the sum would be 3 + 5 + 1 = 9.

The term x is implied to have a coefficient of 1 though it is not written explicitly. We find the sum of the coefficients by simply adding all these values together.

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here the centre of circle(h,k) is (-2,4)

and its radius(r) is 6 uints.

now the equation of circle is,

(x-h)^2 +(y-k)^2 =r^2

or, (x+2)^2 + (y-4)^2=6^2

or, x^2 + 4x + 4+y^2 -8y+16=36

or, x^2 +y^2 + 4x -8y -16=o

Answer:

D

Step-by-step explanation:

The difference in the x-coordinates is Δx = 6 - 3 = 3.

The difference in the y-coordinates is Δy = 8 - 2 = 6.

One third the difference is Δx/3 = 3/3 = 1 and Δy/3 = 6/3 = 2.

So the one-third point is at (3 + 1, 2 + 2) = (4, 4).

In general the segment from A to B has parametric equation

X = (1-t)A + tB

t=0 gives point A, t=1 gives point B, and in between we move linearly with t from A to B.

So if we want AX:BX=1:3, that's 1/(1+3)=1/4 of the way along from A to B, so corresponds to t=1/4.  So the point we seek is

X = (1 - 1/4)(3, 2) + (1/4)(6,8) = ((9+6)/4, (6+8)/4)=(15/4, 7/2)

Answer: Choice C

Answer:

Step-by-step explanation:

2*pi - sqrt(3)

pi = 3.14159

2pi = 6.283184

sqrt(3) = 1.73205

Answer

6.283184 - 1.73205

4.51133

Answer:

Sorry about being so late, but the answer is

4.55

OR

4.55113449961

Step-by-step explanation:

Answer:

2.3 and 3.6

Step-by-step explanation:

Final answer:

To solve the equation x^2 - 9|||-3 = log3 x, simplify both sides of the equation and then find the values of x that satisfy the equation.

Explanation:

To find the values of x that satisfy the equation, we can start by simplifying both sides of the equation.

On the left side, we have x^2 - 9|||-3. To simplify this, we first evaluate the absolute value of -3, which is 3. Then we have x^2 - 9(3), which simplifies to x^2 - 27.

On the right side, we have log3 x.

Setting the two sides equal to each other, we have x^2 - 27 = log3 x.

To solve this equation, we can graph both sides and find the intersection points, or we can use numerical methods like iteration or Newton's method to find the approximate solutions.

Answer:

I think it would be true

The provided statement "When researchers incorrectly interpret the responses to a survey question, this is poor analysis" is true.

The practice of assessing client insights is known as survey analysis. It could be customer satisfaction scores or other customer experience measures.

We have a statement:

When researchers incorrectly interpret the responses to a survey question,

this is a poor analysis.

The above statement is true because when we have survey data that is incorrectly interpreted, it will create a problem in the final phase or implementation phase.

Thus, the provided statement "When researchers incorrectly interpret the responses to a survey question, this is poor analysis" is true.

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Answer:

  500

Step-by-step explanation:

A sequential search starts with the first item on the list, making a comparison with every item until the desired one is found. It takes 500 comparisons to find the 500th item.

well, the movie lasted 1:38   so.... and she finished it at 1:10pm.

1:10pm minus 1 hour?  12:10pm.

12:10 pm minus 10 and minus 28 minutes?   12:10 - 00:10 = 12:00pm, 12:00 - 00:28 minutes = 11:32am.

Answer: 11:32

Step-by-step explanation:

[tex]\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{\underline{v}olume varies inversely with \underline{p}ressure}}{V=\cfrac{k}{p}}~\hfill[/tex]

Answer:

  36

Step-by-step explanation:

The total number of options is the product of the numbers of independent options: 3×3×4 = 36.

__

For each of the bedroom options, she can choose any parking option, so can have ...

  1 br, street parking

  2 br, street parking

  3 br, street parking

  1 br, assigned parking

  2 br, assigned parking

  3 br, assigned parking

  1 br, garage spots

  2 br, garage spots

  3 br, garage spots

That is, 3×3 = 9 options. Any of these can be put with any of the four lease options, for a total of 9×4 = 36 options altogether.

The answer would be 36

Answer:

  Hari is 20; Harry is 28

Step-by-step explanation:

The ratio in 4 years is equivalent to the ratio 6:8, which has each of the original ratio unit numbers increased by 1. That means each of those ratio units stands for 4 years, and the present ages are ...

  Hari: 5·4 = 20

  Harry: 7·4 = 28

_____

Conventional method of solution

If you like, you can write equations for the ages of Hari (x) and Harry (y):

  x/y = 5/7

  (x+4)/(y+4) = 3/4

These can be solved a variety of ways. For some methods, it may be useful to write them in standard form:

These have solution (x, y) = (20, 28).

Answer:  B) 115

Step-by-step explanation:

S₅ means the sum of the first 5 numbers in the sequence.

3 + 13 + 23 + 33 + 43 = 115

Each pack costs 5 dollars so you take 5 times 8 to get 45 dollars. Then you take to 8 and times it by 10 to get a total of 80 pens

Answer:

B

Hope this helps!

Answer:

B

Step-by-step explanation:

The rate of change is the slope.  Function 1 has a slope of 4.  Function 2 has a slope of:

m = Δy / Δx

m = (10 - 6) / (3 - 1)

m = 4 / 2

m = 2

So function 1 has the greater rate of change.  Answer B.

[tex]\bf \qquad \qquad \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n}{2}(a_1+a_n)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\[-0.5em] \hrulefill\\ n=12\\ S_{12}=156 \end{cases}\implies 156=\cfrac{12}{2}(a_1+a_{12}) \\\\\\ 156=6(a_1+a_{12})\implies \cfrac{156}{6}=a_1+a_{12}\implies 26=a_1+a_{12}[/tex]

Final answer:

The sum of the first and twelfth terms of an arithmetic progression, whose first 12 terms sum to 156, is 26. This is determined by using the arithmetic progression sum formula and understanding that the sum of equidistant terms from the beginning and end of the series is constant.

Explanation:

To determine the sum of the first and twelfth terms of an arithmetic progression (AP) given the sum of the first 12 terms, we can use the properties of AP. The sum of an arithmetic progression can be expressed using the formula Sn = n/2(2a + (n-1)d), where Sn is the sum of the first n terms, a is the first term, n is the number of terms, and d is the common difference.

For this question, the sum of the first 12 terms (S12) is given as 156, and we want to find the sum of the first and twelfth terms. By properties of AP, the sum of equidistant terms from the beginning and end (first and last terms in this case) is the same. So the sum of the first and twelfth terms is equal to the sum of the second and eleventh terms, and so on. This sum is consistent and equals a + a + 11d, which simplifies to 2a + 11d.

Since S12 = 12/2(2a + 11d) and we know S12 = 156, we can simplify the formula to get 156 = 6(2a + 11d). However, to solve for 2a + 11d directly, we do not need the value of d; we only need the fact that the sum of the first and last terms will be constant and equal to the sum of 2a + 11d. Therefore, the sum of the first and twelfth terms is 156/6, which equals 26.

Answer:

[tex]x^{1/4} y^{1/2}[/tex]

Step-by-step explanation:

When you have a power then a root like that, you have to divide the power by the root.

So, in this case, you have (x^2y^4) and a 8th root (8√).

So, you take your exponents from (x^2y^4) and divide them by the root (8), to get new powers of 2/8, or 1/4, and 4/8 or 1/2

As I already explained you in other questions, that leaves a fractional exponent that is equivalent to the regular exponent then rooted.

Answer is then: [tex]x^{1/4} y^{1/2}[/tex]

The ratio of areas of similar triangles is the square of the ratio of their linear dimensions. If the smaller triangle is 1/2 the area of the larger, then its linear dimensions are √(1/2) those of the larger triangle.

  smaller side length = √(1/2) × larger side length

  = (√2)/2×36 = 18√2 ≈ 25.4558

Answer:

x=6,-4

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term.  Solve for x by using this term to complete the square.

x=6,-4

This function starts at 30 where x=0, and then gains 15 units each time x is increased by 1.

So, we deduce that renting the storage has a fixed price of 30, and then you have to pay 15 each month.

It will add 15 dollar for each month.

Answer:

8

Step-by-step explanation:

First Step

Convert meters to centimeters

For every meter there are 100 (centi)meters

6 meters ×100=600 cm

Second Step

Find how many scarves can be made

We have 600 cm of fringe

It takes 70 cm to make 1 scarf

Divide 70 into 600

600÷70=8.571

Rounding down we get 8

Answer:

346 trucks are needed

Step-by-step explanation:

We know that one acre equals 43560 feet ^ 2

In this case the area is 3 acres. So:

[tex]3\ acres * \frac{43,560\ ft^2}{1\ acre} = 130,680\ ft^2[/tex]

We know that 1 foot equals 12 inches. So:

[tex]24\ in * \frac{1\ ft}{12\ in} = 2\ ft[/tex]

So the volume of the contaminated area is:

[tex]V = 2* 130,680\ ft^3\\\\V = 261,360\ ft^3[/tex]

In a cubic yard there are 27 cubic feet. So:

[tex]28\ yard^2 * \frac{27\ ft^3}{1\ yard^3} = 756\ ft^3[/tex]

Finally if we have a volume of [tex]261,360\ ft ^ 3[/tex] and each truck can transport [tex]756\ ft ^ 3[/tex] then the amount of trucks x we need is:

[tex]x = \frac{261,360\ ft ^ 3}{756\ ft ^ 3} = 346\ trucks[/tex]

Answer:

Step-by-step explanation:

The factors of each term are ...

So, the greatest common factor is 3a. Factoring that out gives ...

  3a(16a^2 -25) . . . . . . matches answer 2

The factor in parentheses is the difference of squares, so it can be factored. You have memorized the form for the difference of squares ...

  p^2 -q^2 = (p -q)(p +q)

so you know the factoring of this with p=4a and q=5 will be ...

  3a(4a -5)(4a +5) . . . . . . matches answer 4

__

Any pair of factors can be multiplied by -1 without changing the value of the expression. So, two more answers are equivalent:

   (-3a)(-(16a^2 -25) = -3a(25 -16a^2) . . . . . . matches answer 5

  (-3a)(-(4a -5)(4a +5) = -3a(5 -4a)(5 +4a) . . . . . . matches answer 6

Answer:

2 4 5 6

Step-by-step explanation:

The highest common factor is 3a That means that 48a^3 must be divided by 3a which means 48a^3 / 3a = 16a^2. Notice what happened. 48/3 = 16. a^3/a = a^2.

Now you have to pull out 3a from 75a. That wasn't done to Answer 1. So answer one is incorrect.

75a/3a = 25

So far what you answer looks like is

3a(16a^2 - 25) which is answer 2

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

Answer 3 is wrong because one of the factor has to be - 5. Neither one is.

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

Answer 4 is correct

16a^2 - 25 factors into (4a - 5)(4a + 5)

So what is written reflects those factors + the 3a

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

Now we come to the brutal ones.

If you take out a minus sign from the brackets, it has the effect of turning the two terms inside the brackets around.

-3a(25 - 16a^2) is what the above sentence means. so 5 is correct

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

The two terms inside the brackets still factor

-3a ( 5 - 4a)(5 + 4a) It is just that they are turned around.

6 is correct.

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

The domain is the X values and the range is the y values.

The blue line starts at X 0 and Y 0 and moves up and to the right.

This means the range and domain are equal to or greater than 0.

The 3rd choice is the correct one.

Answer:

120

Step-by-step explanation:

5x4x3x2x1 =120

The number of ways to arrange the trophies is 120. The correct answer is option A.

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that:-

The number of the ways will be calculated as:-

N  =  5!

N  =  5  x 4  x 3  x 2 x 1

N  =  120 ways

Therefore the number of ways to arrange the trophies is 120.

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Answer:

No.

Step-by-step explanation:

Because x²-5x+7, as x = 9 is 9²-5·9+7 = 81-45+7 ≠ 0

f(x) = x²-5x+7 is divisible by x-9 only if f(9) = 0.