A fence post is 12 feet tall. A chain is attached to the top of the fence post and fastened to the ground 9 feet from the base of the fence post. What is the length of the chain?

                                          Question No 7

Answer:

Please check the explanation.

Step-by-step explanation:

Show that 4x - x² - 7 is always negative.

Given

4x - x² - 7

4x - x² - 7 is always negative because:

Hence, 4x - x² - 7 is always negative

For example,

let suppose we enter x = 1

[tex]4(1)-1^{2} -7\\=4-1-7\\=4-8\\=-4[/tex]

let suppose we enter x = -1

[tex]4(-1)-(-1)^{2} - 7\\= -4 - 1 - 7\\= -12[/tex]

Answer:

i believe the missing value is (3,-2)

Step-by-step explanation:

plz give me brainlyest

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] m + 5 = 17 ( subtract 5 from both sides )

[tex]\frac{2}{3}[/tex] m = 12 ( multiply both sides by 3 to clear the fraction )

2m = 36 ( divide both sides by 2 )

m = 18 → C

Answer:

C

Step-by-step explanation:

2/3X18=6+5=11

Answer:

A

Step-by-step explanation:

Given

x² + 6x

To complete the square

add ( half the coefficient of the x- term )² to x² + 6x

x² + 6x + (3)²

= x² + 6x + 9

= (x + 3)²

Answer:

Rewrite in slope-intercept form.

Tap for more steps...

y=−4/5x+6

Using the slope-intercept form, the slope is −4/5 .

m=−4/5

All lines that are parallel to y=−4/5x+6

have the same slope of −4/5.

mparallel=−4/5

Step-by-step explanation:

The line parallel to the x- axis which is given equation is [tex]y=-\frac{4}{5}+6[/tex]

Parallel lines are lines that have the same slope. They are lines that do not meet at any given point and the distance between the two points is constant. For example, if we have a line [tex]y=m_1x+c_1[/tex] which is parallel to the line [tex]y=m_2x+c_2[/tex] then: [tex]m_1=m_2[/tex] and we can rewrite the equation of the second line as :[tex]y=m_1x+c_2.[/tex]

We have the equation is:

[tex]y=-\frac{4}{5}+6[/tex]

Now, The equation is in the form of y = mx + c

Hence, The value of slope - intercept form is : m = -4/5

We have to plot the line in the graph :

[tex]y=-\frac{4}{5}+6[/tex]

Learn more about Parallel line at:

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Answer:

a. The maximum revenue Luci can make selling cookies in one day is $2,000.

b. The price she should sell the cookies for her to make the maximum revenue is $1.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000. Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.

The explanation of the answer is now provided as follows:

Given;

x = −2000p + 4000 …………………………. (1)

The revenue function is obtained as follows:

R = px ……………………….. (2)

Substitute equation (1) into (2), we have:

R = p(−2000p + 4000)

R = −2000p^2 + 4000p ……………… (3)

Obtain the derivative of equation (3), set to zero and solve for p, we have:

−4000p + 4000 = 0

4000 = 4000p

p = 4000 / 4000

p = 1

From the above, p = 1 implies that the price that ensure maximum revenue is $1.

We can now answer as follows:

a. Find the maximum revenue Luci can make selling cookies in one day.

Since p = 1 implies that the price that ensure maximum revenue is $1, we then substitute p = 1 into equation (3) as follows:

R = (−2000 * 1^2) + (4000 * 1)

R = (−2000 * 1) + (4000 * 1)

R = −2000 + 4000

R = 2000

Therefore, the maximum revenue Luci can make selling cookies in one day is $2,000.

b. Find the price she should sell the cookies for to make the maximum revenue.

Since p = 1 implies that the price that ensure maximum revenue is $1 as obtained above, it therefore implies that the price she should sell the cookies for her to make the maximum revenue is $1.

Answer:

A,C,E

Step-by-step explanation:

Answer:

B. n ≥ -24.

D. The circle is closed.

E. The arrow points right.

Step-by-step explanation:

Step 1: Multiply both sides by -3/2, the reciprocal of -2/3. Since -2/3 is negative, the inequality direction changes.

(-2/3 * -3/2)n ≤ 16(-3/2)

n ≥ 16(-3/2)

Step 2: Express 16(-3/2) as a single fraction.

n ≥ 16(-3)/2

Step 3: Multiply 16 by -3 to get -48.

n ≥ -48/2

Final Step: Divide -48 by 2 to get -24.

n ≥ -24 is the final answer.

With inequalities that have this (≥), the circle should be closed (D) and the arrow goes right (E).

Answer:

To answer this u need the formula v=pi r^2h. Since r=9 and h= 2, we could solve the equation by plugging in the variables. v= (3.14)(9)^2(2) is equal to 508.94

Answer:

F=16

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

Answer:

-6.5

Step-by-step explanation:

-2 + -9 =-11 ÷2=-6.5

Answer:

Depends. If you were asking 2+-9/2, according to the rules of PEMDAS it would be -2.5 but by the way you wrote that, I'm assuming you meant (2+-9)/2 which is -3.5.

Answer:

408

3 percent of 300 is 9.

So it is $9 every month times 12 months

is equal to 108 so add the 300 on top of the 108 = 408

Step-by-step explanation:

Answer:

[tex]P(flight \: will \: be \: on \: time) = 94\% \\ = \frac{94}{100} \\ 0.94[/tex]

(94-100)%= 6%

6% is the probability of a flight not arriving on time.

Answer:

Option C

Step-by-step explanation:

Answer: 29.7 pounds

Step-by-step explanation:

The expression in question is w/6.

If the weight of an object on earth is w, the weight of the object on the moon is w/2.

The weight of the space suit is therefore:

= 178.2/6

= 29.7 pounds

Answer:

51

Step-by-step explanation:

Answer: 51

Step-by-step explanation:

Use PEMDAS. First solve inside the parentheses. You will get 43 + (4) x 2. Then, do the multiplication (4x2). You will have 43+8. And that can be simplified to 51. Hope this helps!

Answer:

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y = \frac{1}{3}x-3[/tex]

Slope-intercept form of a line is given by:

[tex]y = mx+b[/tex]

Comparing the given equation of line with general form we get

m = 1/3

Let m1 be the slope of line parallel to given line

Then the equation of line will be:

[tex]y = m_1x+b[/tex]

We know, "Slopes of two parallel lines are equal"

Which means

[tex]m_1 = m\\m_1 = \frac{1}{3}[/tex]

Putting the value of slope

[tex]y = \frac{1}{3}x+b[/tex]

Putting the point (3,2) in the equation

[tex]2 = \frac{1}{3}(3)+b\\2 = 1+b\\b = 2-1\\b = 1[/tex]

Final equation of line is:

[tex]y = \frac{1}{3}x+1[/tex]

Hence,

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Answer:

9ber

Step-by-step explanation:

Aight will do

Answer:

commutative property

Step-by-step explanation:

Answer: 7

Explanation:

x+3=10

10-3=x

7=x

Answer:

3/4*4=3

3/5*6=3.6

2/6*5=1.7

Answer:

3/231 can be simplified to 1/77.

Step-by-step explanation:

Answer:

21 in

Step-by-step explanation:

by the Pythagorean theorem we have

[tex]841=400+x^2\\\\x^2=441\\\\x=21[/tex]

notice that the 841 and the 400 don't go squared because they already squared!

Answer:

[tex]-3, -2, -0.8, -\frac{1}{10} ,\frac{1}{2}, 0.8, 7[/tex]

Step-by-step explanation:

Given

[tex]7, -3, \frac{1}{2}, -0.8, 0.8, -\frac{1}{10}, -2[/tex]

Required

Order from least to greatest

[tex]7, -3, \frac{1}{2}, -0.8, 0.8, -\frac{1}{10}, -2[/tex]

Convert 1/2 and -1/10 to decimals

[tex]7, -3, 0.5, -0.8, 0.8, -0.1, -2[/tex]

Negative numbers are always the least of all numbers.

In the given list, the negative numbers are:

[tex]-3, -0.8, -0.1, -2[/tex]

The higher the magnitude of a negative number, the smaller it is.

--------------------------------------------------------------------------------------------

Take for instance: -7 and -8.

-8 has a magnitude of 8 and -7 has a magnitude of 7.

Because 8 > 7 (the magnitudes), then

-8 < -7

--------------------------------------------------------------------------------------------

Using the above analysis:

[tex]-3, -0.8, -0.1, -2[/tex] from least to greatest is:

[tex]-3, -2, -0.8, -0.1[/tex]

Considering the positive numbers:

[tex]7, 0.5, 0.8[/tex]

From least to greatest, it is:

[tex]0.5, 0.8, 7[/tex]

Merge the negative and the positive numbers:

[tex]-3, -2, -0.8, -0.1,0.5, 0.8, 7[/tex]

Convert 0.5 and -0.1 back to fractions

[tex]-3, -2, -0.8, -\frac{1}{10} ,\frac{1}{2}, 0.8, 7[/tex]

Answer:

A

Step-by-step explanation:

Answer:

C i think it's C but im not really sure

Answer:don't know

Step-by-step explanation:

Answer: The answer is 20

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]Equation:[/tex]

[tex]\rm{3^2 + 1\times 2}[/tex]

[tex]Simplifying:[/tex]

[tex]\rm{3^2 + 1\times 2}[/tex]

[tex]\rm{= 3\times 3+ 1\times 2}[/tex]

[tex]\rm{= 9 + 1\times2}[/tex]

[tex]\rm{= 9 + 2}[/tex]

[tex]\rm{= 11}[/tex]

[tex]Therefore, your\ answer\ should\ be:[/tex]

[tex]\huge\boxed{\frak{11}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]