You are building a fence and have 540 inches left to go. The fencing comes in sheets of 3 yards. How many sheets of fencing do you need to complete the fence?

10

Step-by-step explanation:

[tex]\displaystyle \lim_{x \to 5} \left(\dfrac{x^2 - 5}{x - 5} \right)= \lim_{x \to 5} \dfrac{(x+5)(x-5)}{(x-5)}[/tex]

or

[tex]\displaystyle \lim_{x \to 5} (x + 5) = 10[/tex]

Answer:

Step-by-step explanation:

A line that is parallel to the line that goes through (-3, -3) and (-1, 5) will have the same slope as the one we will find when we plug those numbers into the slope formula. Let's do that first:

[tex]m=\frac{5-(-3)}{-1-(-3)}=\frac{5+3}{-1+3}=\frac{8}{2}=4[/tex] so the line we need to write has a slope of 4. Moving on...

If the x-intercept we need is 4, that means that we need to understand what an x-intercept is. The x-intercept exists where y = 0; so what we need to do is to write the equation of the line that has a slope of 4 and passes through the point (4, 0). Doing that:

y - 0 = 4(x - 4) and

y = 4x - 16

Answer:

Answer above is correct!

First Box: 4

Second Box: -16

Step-by-step explanation:

Hope this helps :D

Answer:

answer choices?

Step-by-step explanation:

Answer:

area of the figure=1/2×(10+6)×3

=24 square feet

Answer:

She would have to payed 36 dollars;

for the second part, i dont get it

Step-by-step explanation:

.75x40= 30

30+6 = 36

Answer:

Cost for 40 songs: $36

Cost for s songs: 0.75s + 6

Step-by-step explanation:

Set up an equation:

Variable s = number of songs

Variable x = number of months

0.75s + 6x

Solve for 40 songs in 1 month:

0.75(40) + 6(1)

30 + 6

$36

Solve for s songs:

0.75s + 6(1)

0.75s + 6

Answer:

1/(e - 1)  

Step-by-step explanation:

ln (1 + x) = 1 + ln (x)

ln (1 + x) - ln (x) = 1

ln ((1 + x)/x) = 1

(1 + x)/x = e = 1 + 1/x

x = 1/(e - 1)

Answer:

When the number of rows or number of columns in the given matrix does not match the number of entries in the vector x.

When the number of columns in A [tex]\neq[/tex] the number of rows in B.

The matrix-vector is not defined.

Step-by-step explanation:

For example:-

Step 1:

Let's assume

[tex]A=\left ( \begin{matrix}-6 & 9\\ 2& 7\\ 1 & 0\end{matrix} \right )[/tex]3x2                 &       [tex]B=\left ( \begin{matrix}1\\ -6\\ 7\end{matrix} \right )[/tex]3x1

Since matrix multiplication of matric A and matrix B is only possible,

When the number of columns in A = Number of rows in B.

Step 2:

Let's A as m x n; Here m = rows and n=columns

B as p x q; Here p = rows and q=columns.

When n [tex]\neq[/tex] p, the matrix-vector is not defined.

That is matrix multiplication Ax is not possible.

Hence the matrix is not defined.

Answer:

let x=the number

5x+30=15

5x=15-30

5x=-15

5x/5=-15/5

x=-3

Let's keep the,

Value of unknown number as y.

Then find the y,

→ 5y + 30 = 15

→ 5y = 15 - 30

→ 5y = -15

→ y = -15/5

→ [y = -3]

Therefore, -3 is the number.

Answer:

t represents the total amount

0.25t = 10.00

Can you solve for t and answer?

Or logically

Peter's 10.00 is 1/4 (25%) of the total.

Therefore 4/4 is $40.00

Step-by-step explanation:

Please mark brainliest

Answer:

4. SAME SLOPE, SAME Y INTERCEPT.

When this happens... The system of Equations has an Infinite Number of solutions.

A IS YOUR ANSWER

5.

A system of Equations has no solution when the graph of the system are PARALLEL LINES.

OPTION D IS YOUR ANSWER.

Answer:

Step-by-step explanation:

[tex]sin(2\theta)=2sin\theta~cos\theta\\\\cos(2\theta)=cos^2\theta-sin^2\theta\\\\cos\theta=\frac{24}{25}\\\\sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\we ~will~ use~ the ~minus~ sign~because~sin\theta~is~negative~in~IV~cuadrant\\sin\theta=-\sqrt{1-{(\frac{24}{25})}^2}=-\frac{7}{25}[/tex]

Now we cal calculate the quantities requested

[tex]sin(2\theta)=2sin\theta cos\theta=2(-\frac{7}{25})\frac{24}{25}=-\frac{336}{625}\\\\[/tex]

[tex]cos(2\theta)=cos^2\theta-sin^2\theta=(\frac{24}{25})^2-(-\frac{7}{25})^2=\frac{527}{625}[/tex]

[tex]tan(2\theta)=\frac{sin(2\theta)}{cos(2\theta)}=\frac{-\frac{336}{625}}{\frac{527}{625}}=-\frac{336}{527}[/tex]

Answer:

your answer is c

Step-by-step explanation:

Answer:  12.5

Step-by-step explanation:   Well 50 diviedby 4 = 12.5

Answer:

Answer is as follows

Step-by-step explanation:

The probability distribution is a statistical function that describes all the possible values and likelihood’s that a random variable can take within a given range.

Answer:

Region I is n(A)

There's 21 elements there.

Region II is the intersection or the region shared by A and B. Denoted by (AnB)

From the data given again.

There are 13 elements in Region II

Region III

Thats part B of the venn diagram

Denoted by n(B)

There's 24 elements in this region.

Region IV

This is the intersection of A and C or the part of the diagram shared by A and C

Denoted by (AnC)

There's 11 elements in this section.

Region VI

This is region shared by B and C

or (BnC)

There's 12 elements in this section.

Region VII

Thats the C part of the Venn diagram

Denoted as n(C)

There's 21 elements here

Region VIII

This part is Empty.

There's no Elements outside the Diagram

There's 0 elements here.

Hope this helps.

Have a great day!

Answer:

77 boxes

Step-by-step explanation:

1000/13= 76.9230769

They can't sell part of a box and a little extra money never hurt any one.

Answer:

77

Step-by-step explanation:

You already answered the question, but- 13 x 77 = 1001

Answer:

False

Step-by-step explanation:

You can have more than one line of symmetry to divide figures into more than two equal parts.

Answer:

[tex](0,0)[/tex]   [tex](4000,0)[/tex] and [tex](500,79)[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

[tex]\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW[/tex]

[tex]\frac{dW}{dt} = -0.02W + 0.00004RW[/tex]

To solve this, we first equate [tex]\frac{dR}{dt}[/tex] and [tex]\frac{dW}{dt}[/tex] to 0.

So, we have:

[tex]0.09R(1 - 0.00025R) - 0.001RW = 0[/tex]

[tex]-0.02W + 0.00004RW = 0[/tex]

Factor out R in [tex]0.09R(1 - 0.00025R) - 0.001RW = 0[/tex]

[tex]R(0.09(1 - 0.00025R) - 0.001W) = 0[/tex]

Split

[tex]R = 0[/tex]   or [tex]0.09(1 - 0.00025R) - 0.001W = 0[/tex]

[tex]R = 0[/tex]   or  [tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]

Factor out W in [tex]-0.02W + 0.00004RW = 0[/tex]

[tex]W(-0.02 + 0.00004R) = 0[/tex]

Split

[tex]W = 0[/tex] or [tex]-0.02 + 0.00004R = 0[/tex]

Solve for R

[tex]-0.02 + 0.00004R = 0[/tex]

[tex]0.00004R = 0.02[/tex]

Make R the subject

[tex]R = \frac{0.02}{0.00004}[/tex]

[tex]R = 500[/tex]

When [tex]R = 500[/tex], we have:

[tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]

[tex]0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0[/tex]

[tex]0.09 -0.01125 - 0.001W = 0[/tex]

[tex]0.07875 - 0.001W = 0[/tex]

Collect like terms

[tex]- 0.001W = -0.07875[/tex]

Solve for W

[tex]W = \frac{-0.07875}{ - 0.001}[/tex]

[tex]W = 78.75[/tex]

[tex]W \approx 79[/tex]

[tex](R,W) \to (500,79)[/tex]

When [tex]W = 0[/tex], we have:

[tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]

[tex]0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0[/tex]

[tex]0.09 - 2.25 * 10^{-5}R = 0[/tex]

Collect like terms

[tex]- 2.25 * 10^{-5}R = -0.09[/tex]

Solve for R

[tex]R = \frac{-0.09}{- 2.25 * 10^{-5}}[/tex]

[tex]R = 4000[/tex]

So, we have:

[tex](R,W) \to (4000,0)[/tex]

When [tex]R =0[/tex], we have:

[tex]-0.02W + 0.00004RW = 0[/tex]

[tex]-0.02W + 0.00004W*0 = 0[/tex]

[tex]-0.02W + 0 = 0[/tex]

[tex]-0.02W = 0[/tex]

[tex]W=0[/tex]

So, we have:

[tex](R,W) \to (0,0)[/tex]

Hence, the points of equilibrium are:

[tex](0,0)[/tex]   [tex](4000,0)[/tex] and [tex](500,79)[/tex]

Answer:

Step-by-step explanation:

Answer:

The sale tax is $10.42

Answer:

n= 2x-6y

Step-by-step explanation:

So we might look at this and have an immediate panic attack, but if there is one thing we might look to to help us, it would be logarithms. Logarithms have many wonderful properties that will help us solve this equation. Let's get started:

1.  This is the starting equation. [tex](2^{\frac{1}{2} } )^{n} =\frac{2^x}{8^y}[/tex]

2. Let's use the power to power rule on the left and multiply 1/2 by n:

a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]

3. Next, lets take the log of both sides and use the properties of logarithms:

a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]

b. [tex]log(2^{\frac{1}{2}n }) =log(\frac{2^x}{8^y})[/tex]

c. One property we are allowed to use is bringing down the exponent on the left, and another property we can use is when you have the log of a fraction, that is the same thing as the log(numerator)-log(denominator)

d. [tex]\frac{1}{2}n *log(2) =log(2^x)-log(8^y)[/tex]

e. After we do this, we can use the same property of bringing down the exponent on the right side:

f. [tex]\frac{1}{2}n *log(2) =x*log(2)-y*log(8)[/tex]

g. After this, because log(2) and 1/2 are both numbers and are multiplied by n, we can divide them from both sides, and simplify:

h. [tex]\frac{1}{2}n =\frac{x*log(2)-y*log(8)}{log(2)}[/tex]

i. [tex]2(\frac{1}{2})n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]

j. [tex]n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]

k. After this, we must simplify the fraction because log(2)/log(2)=1, and log(8)/log(2)=3, these are both because 2^1=2 and 2^3=8 respectively:

l. [tex]n =2(\frac{x*log(2)}{log(2)}-\frac{y*log(8)}{log(2)} )[/tex]

m. Lastly, let's cancel and distribute:

n. [tex]n =2(x-3y)[/tex]

o. [tex]n=2x-6y[/tex]

9514 1404 393

Answer:

  2 < x < 15

Step-by-step explanation:

The triangle inequality requires all of ...

  (x +11) +(2x +10) > (5x -9)   ⇒   30 > 2x

  (2x +10) +(5x -9) > (x +11)   ⇒   6x > 10

  (5x -9) +(x +11) > (2x +10)   ⇒   4x > 8

The solutions to these are ...

  x < 15

  x > 5/3

  x > 2

So, the final requirement that has x satisfying all of these is ...

  2 < x < 15

Answer:

[tex]Domain= \{x<2\ or\ x>2\}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x - 5}{3x - 6}[/tex]

Required

The domain

Equate the denominator to 0

[tex]3x - 6 = 0[/tex]

Solve for x

[tex]3x = 6[/tex]

[tex]x = 2[/tex]

This means that the value of x cannot be 2 for the given function.

So, the domain is:

[tex]Domain= \{x<2\ or\ x>2\}[/tex]

Answer:

??

Step-by-step explanation:

Answer:

a=4, b=-3

Step-by-step explanation:

If it is vertical, then the y coefficient must be equal to zero, which means b = -3. When y is 0, a*3=2*3+6, which means a=4.

Answer:

a=4

b=-3

Step-by-step explanation:

ax+by=2x-3y+6 is vertical and passes through (3,0) which means the equation should be equivalent to x=3.

If we want the y's to cancel we need -3y on lefy since we have it on right so b=-3.

So now the equation is ax=2x+6

If ax=2x+6 and x=3, by substitution property we have a(3)=2(3)+6.

Let's solve for a.

3a=6+6.

3a=12

a=12/3

a=4.

a=4

b=-3

Answer and explanation:

Answer:

Two sample t test

Explanation:

The test that could be used here is the two sample t test. The two sample t test compares two groups to ascertain if there is an average significant different between the two groups being compared, also making sure the result of difference is not random. For instance to test the above example, the two sample t test compares the group before they watch the commercial with the group after the commercial to know if there is a significant difference between the two groups.

Answer:

The value is c = 21.1445.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb.

This means that [tex]\mu = 12, \sigma = 3.5[/tex]

What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight?

This 1 added to the value of X for the 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.327 = \frac{X - 12}{3.5}[/tex]

[tex]X - 12 = 2.327*3.5[/tex]

[tex]X = 20.1445[/tex]

1 + 20.1445 = 21.1445

The value is c = 21.1445.

Answer:

D

Step-by-step explanation:

Let w represent the width

Length=18+W

And width=w

So area of a Triangle equals (length times width)divided by two

Area=(18+w)(w)/2

And the area is given to us as 189

180=(18w+w^2)/2

Multiplying both sides by two yields

360=18w+w^2

The subtract 360 from both sides to get

w^2 +18w-360=0