What whole number value of n makes the equation
(27)3. 275
27
= 27 true?

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

From the position of the metals on the electrochemical series, there would be no reaction of the solution with iron and copper.

We know that a reaction is said to have occurred between a metal and a solution if the metal is able to displace the cation that is in the solution. This displacement would in turn have a lot to do with the position of the metals in the electrochemical series.

Given that iron and copper are all less than aluminum which is the cation in the solution in the electrochemical series then it would not be possible for these metals to displace it in solution thus there would be no reaction.

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Answer: I'm sure Option 4 Could help you find your answer.

Step-by-step explanation:

y=−6x+5−2x+y=5

Hope this helps.

Answer:

\(\displaystyle F'(x) = 4x\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Derivative Property [Addition/Subtraction]:                                                        \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)  

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle F(x) = 2x^2 + 3\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

The reasonable domain for the function is (b) x > 0

From the question, we have the following parameters that can be used in our computation:

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Answer:

6

Step-by-step explanation:

x-4=2

+4    +4

x=6

Hope this helps!

The inverse statement is:

¬q ⇒ ¬p

Which is true.

Here we have the biconditional statement:

A number is negative if and only if it is less than zero.

Where:

So we can write the statement as:

p ⇔ q

The inverse statement is:

if not q, then not p.

or

¬q ⇒ ¬p

Replacing p and q, we have:

"if a number is not less than zero, then the number is not negative".

This is true, if the number is not less than zero, then the number is 0 or larger, so that number is not negative.

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Answer:

D.

∼p↔∼q

and

G.

The inverse of the statement is true.

Step-by-step explanation:

Answer:

27,000 feet

Step-by-step explanation:

Let \(x\) be the actual length of the pipeline, in feet.

Set up the following proportion:

\(\displaystyle\\\frac{1}{2,000}=\frac{13.5}{x}\)

Cross-multiplying yields \(x=13.5\cdot 2,000=\boxed{27,000\text{ ft}}\)

Answer:

The answer is in the picture below

Step-by-step explanation:

Sorry just realised the answers were different ;-;

Answer:

The arm spans for Class A are roughly symmetric, while those for Class B are skewed left.

Step-by-step explanation:

Answer: the slope is 2

Explanation:

The graph goes up 2 and over 1. When finding slope the formula is rise/run

Answer:

point c show the location of 54

Answer:

it is o.25

Step-by-step explanation:

ewfhu9wrh8cgfiefwhdihfiwfhdfiehwdcfsnihbghducjbrwvidbjskrihebvkdihkbewivdahbriabvdsferntifvriubeubquerbviuveniueabfvhjbhjvjrbjvjrbfv

Answer:

the verbal sentence so it is easier to translate. ... 12 equals p divided by. 4 n. 2. +. 12. = p. ÷. 4. 4. Half of j minus 5 is the sum of k and 13.

Step-by-step explanation:

their income is "x", which oddly enough is the 100% of their income, we also know that 16% of it 240 bucks, so

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 240&16 \end{array}\implies \cfrac{x}{240}=\cfrac{100}{16}\implies 16x=24000 \\\\\\ x=\cfrac{24000}{16}\implies x=1500\)

Answer:

x=11.34

Step-by-step explanation:

Answer:

297 square feet

Step-by-step explanation:

Let w represent the width of the garden.

Since the length is 24 ft longer than the width, it can be represented by w + 24.

Use the perimeter formula, p = 2l + 2w. Plug in the perimeter and w + 24 as l, then solve for w:

p = 2l + 2w

84 = 2(w + 24) + 2w

84 = 2w + 48 + 2w

84 = 4w + 48

36 = 4w

9 = w

So, the width is 9 ft. Add 24 to this to find the length:

24 + 9 = 33

So, the length is 33 ft.

Find the area of the garden with the formula A = lw:

A = lw

A = (33)(9)

A = 297

The area of the garden is 297 square feet.

Answer:

94.5cm²

Step-by-step explanation:

There does not exists a rational number t such that  \(t^2 = 2\).

Suppose the contrary, that there exists a rational number t such that\(t^2 = 2\). Then t can be written in its lowest terms as t = p/q, where p and q are integers, with q≠ 0. Then squaring both sides gives\((p/q)^2 = 2\), so \(p^2 = 2q^2\). Since both \(p^2\) and \(q^2\) are integers, this implies that 2 is a perfect square, which it is not. Thus, there does not exist a rational number t such that\(t^2 = 2.\)

In detail, assume t = p/q where p and q are integers and q ≠ 0. Then \(t^2 = 2\) can be written as \(t^2 = 2\).. This implies \(p^2 = 2q^2\). Since both \(p^2\) and \(q^2\) are integers, it implies 2 is a perfect square, which it is not. Therefore, there does not exist a rational number t such that   \(t^2 = 2\).

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Complete question

Does there exist a rational number t such that \(t^2 = 2\).?

Answer: The sum of two numbers is 7. Three times one of the numbers is 15 more than the other number. Find the numbers.

Let X and Y be the two numbers.

X + Y = 7 "The sum of two numbers is 7."

3X = Y + 15 "Three times one of the numbers is 15 more than the other number."

Taking the TOP EQUATION and solving for X:

X + Y = 7

X = 7 - Y Subtracting Y from both sides of the equation.

Plugging 7 - Y into the BOTTOM EQUATION for X:

3X = Y + 15

3(7 - Y) = Y + 15

21 - 3Y = Y + 15 Distribute 3 times (7 - Y)

-3Y = Y + 15 - 21 Subtracting 21 from both sides of the equation.

-3Y = Y - 6 15 - 21 = -6

-4Y = - 6 Subtracting Y from both sides of the equation.

Y = - 6/ - 4 Dividing both sides of the equation by - 4.

Y = 3/2 or 1.5

Plugging 3/2 into the TOP EQUATION for Y to solve for X:

X + Y = 7

X + 3/2 = 7

X = 7 - 3/2 Subtracting 3/2 from both sides of the equation.

X = 14/2 - 3/2 = 11/2 = 5.5

ANSWER: ONE NUMBER IS 1.5 AND THE OTHER NUMBER IS 5.5

CHECKING:

TOP EQUATION: X + Y = 7

5.5 + 1.5 = 7 Yes!

BOTTOM EQUATION: 3X = Y + 15

3(5.5) = 1.5 + 15

16.5 = 16.5 Yes!

Step-by-step explanation:

Answer: 40 mg

Unitary method:

For 3kg --> 8mg

For 1kg --> 8/3 mg

For 15kg--> (8/3) * 15

              --> 40 mg

The number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.

Given that, for every 3 kg of a child's weight, pediatricians prescribe 8 mg of fever reducer.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, for 1 kg of child's weight pediatricians prescribe \(\frac{8}{3}\) mg of fever reducer.

If Nidhi weighs 15 kg, then the fever reducer = \(\frac{8}{3}\times15\)

\(=8\times5\)

\(=40\) mg

Therefore, the number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.

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Answer:

9

Step-by-step explanation:

The answer is 9. You can figure it out by counting up from 8!

Answer:

a trigong i think

Step-by-step explanation:

The ratio is  15+\(r_2\) : \(12+r_1\).

What is surface area?

A three-dimensional object's surface area is the space it takes up when viewed from the outside.

Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit

=> A = \(2\pi r(h+r)\) square unit.

Now Height = 12 in , radius = r1 then,

=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1

Now Height = 15 in , radius = r2 then,

=>\(A_2=2\pi r_2(15+r_2)\)-------> 2

Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,

=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)

=>\(15+r_2:12+r_1\)

Hence the ratio is \(15+r_2:12+r_1\).

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Answer:

25:16

Step-by-step explanation:

I took the

Answer:

Correct

Step-by-step explanation:

Answer: yessir

Step-by-step explanation:

Based on the scatterplot, the form of the relationshipbetween fire spread rate and wind speed   can be described as a positive correlation.

As wind speed increases,the fire spread rate also tends   to increase.

b. Direction  -

Based on the given scatterplot,the direction of the relationship between fire spread rate and wind speed appears to   be positive.

As the wind speed   increases,the fire spread rate generally tends to increase as well.

c. Strength  -

The scatterplot suggests a   moderate to strong relationship between fire spread rate and wind speed.

The data points   exhibit a somewhat linear pattern, indicating that there is a noticeable association between these variables.

The firespread rate tends to increase consistently as the wind speed increases, suggesting a relatively strong positive correlation between the two factors.

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Full Question:

Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents.

Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.

Wind Speed (miles/hour) Fire Spread Rate (feet/minute)

0.76                                         0

1.78                                             2

3.34                                                4

5.38                                       6

8.10                                                8

11.75                                     10

16.70                                    12

A scatterplot of these data is shown here  -

1. Based on the scatterplot, how would you describe the following with regard to the relationship between fire spread rate and wind speed?

a. Form:

b. Direction:

c. Strength:

Answer:

Step-by-step explanation:

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.

A table titled Ride Tickets, showing Times on the Ride, Tickets per Ride, and Total Tickets. The first row shows Roller Coaster, with r, 4 and 4 r. The second row shows Boat Ride, with 10 minus r, 3, and 3 left parenthesis 10 minus r right-parenthesis. The third row shows, Total, with 10, blank, and 37.

Which equation is true?

r(10 – r) = 10

r + (10 – r) = 4 + 3

4r[3(10 – r)] = 37     this is your answer  

4r + 3(10 – r) = 37

The correct statement is D. The inequality that represents the price, p, of each of the discounted tickets is p > 9.50.

Georgia wants to go to a concert.

The concert offers discounted tickets to groups that buy more than 12 tickets.

The price of each discounted ticket is less than the regular price of $9.50.

Now, let's break down each statement:

A. The inequality that represents the number of tickets, t, Georgia can buy at the discounted price is t > 12.

This statement is not necessarily true based on the information given. We know that the concert offers discounted tickets to groups that buy more than 12 tickets, but it doesn't provide any information about the maximum number of tickets Georgia can buy at the discounted price. The number of tickets Georgia can purchase could be more or less than 12.

B. The inequality that represents the number of tickets, t, Georgia can buy at the discounted price is t < 9.50.

This statement is incorrect. The inequality t < 9.50 doesn't make sense in this context because it implies that the number of tickets Georgia can buy is less than the price of a ticket, which is not relevant.

C. The inequality that represents the price, p, of each of the discounted tickets is p < 12.

This statement is incorrect as well. The inequality p < 12 suggests that the price of each discounted ticket is less than 12, but we don't have any information about the exact discount amount or the range of prices for the discounted tickets.

D. The inequality that represents the price, p, of each of the discounted tickets is p > 9.50.

This is the correct statement. We know that each discounted ticket costs less than the regular price of $9.50. Therefore, the price of each discounted ticket, represented by p, must be less than $9.50. Hence, the correct inequality is p < 9.50, or equivalently, p > 9.50.

In summary, the correct statement is D. The inequality that represents the price, p, of each of the discounted tickets is p > 9.50.

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