What is the interval of increase of the graphed function?

Answer:

23,400

Step-by-step explanation:

30 times 30 times 26= 23,400

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

Answer:

its decreasing

Step-by-step explanation:

the graph will always be read from left to right.

Answer:

an individual who invested in the market in 2006  has yet to regain the losses incurred in 2008

Step-by-step explanation:

The two variables to have a negative correlation are x and y.

Negative correlation is the relationship where x grows as y decreases.

Given,

Here, negative correlation is used to describe the relationship between two variables that results in independent variables moving in one direction while dependent variables move in another.

Positive correlation

Positive correlation is when the value of the variable x rises as the value of the variable y rises.

Negative Correlation

Negative correlation is the relationship where x grows as y decreases.

No correlation

No correlation exists between the two variables.

That example, the term "no-correlation" refers to the absence of a connection between two variables.

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The question is improper. Proper question is given below;

What two variables are likely to have a negative correlation

Answer:

1)  695.3 m²

2)  8 ft

3)  172.0 in²

Step-by-step explanation:

To find the area of a regular polygon, we can use the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

Given the polygon is an octagon, n = 8.

Given each side measures 12 m, s = 12.

Substitute the values of n and s into the formula for area and solve for A:

\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)

\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)

\(\implies A=695.29350...\)

Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.

\(\hrulefill\)

The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.

If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.

To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:

\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)

Therefore:

\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)

\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)

\(\implies 40^{\circ}n=360^{\circ}\)

\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)

\(\implies n=9\)

Therefore, the regular polygon has 9 sides.

To determine the length of each side, divide the given perimeter by the number of sides:

\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)

\(\implies \sf Side \;length=\dfrac{72}{9}\)

\(\implies \sf Side \;length=8\;ft\)

Therefore, the length of each side of the regular polygon is 8 ft.

\(\hrulefill\)

The area of a regular polygon can be calculated using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

A regular pentagon has 5 sides, so n = 5.

If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.

Substitute the values of s and n into the formula and solve for A:

\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)

\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)

\(\implies A=172.047740...\)

Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.

Answer:

1.695.29 m^2

2.8 feet

3. 172.0477 in^2

Step-by-step explanation:

1. The area of a regular octagon can be found using the formula:

\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)

where a is the length of one side of the octagon.

In this case, a = 12 m, so the area is:

\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)

Therefore, the Area of a regular octagon is 695.29 m^2

2.

The formula for the exterior angle of a regular polygon is:

\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)

where n is the number of sides in the polygon.

In this case, the exterior angle is 40°, so we can set up the following equation:

\(\bold{40^o=\frac{ 360^0 }{n}}\)

\(n=\frac{360}{40}=9\)

Therefore, the polygon has n=9 sides.

Perimeter=72ft.

We have

\(\boxed{\bold{Perimeter = n*s}}\)

where n is the number of sides in the polygon and s is the length of one side.

Substituting Value.

72 feet = 9*s

\(\bold{s =\frac{ 72 \:feet }{ 9}}\)

s = 8 feet

Therefore, the length of each side of the polygon is 8 feet.

3.

Solution:

A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)

The area of a regular pentagon can be found using the following formula:

\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)

where s is the length of one side of the Pentagon.

In this case, s = 10 in, so the area is:

\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)

Drawing: Attachment

Answer: 62.83 (rounded)

Step-by-step explanation:

The formula for volume in spheres is V = \(\frac{4}{3}\) \(\pi\) \(r^{2}\)

r = radius

So, we can just plug that in into

\(\frac{4}{3} \pi\) \((15)^{2}\)

V = 62.831853

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

\(alternative \: interior \: angles\)

<4 and <6

\(alternative \: exterior \: angles\)

<1 and <7

\(corresponding \: angles\)

<1 and <5

Use the percent formula, A =PB: A is P percent of B, 22% of approximately 170 is equal to 37.4.

To find the number, let's use the percent formula:

A = P * B

where A is the value we are trying to find, P is the percentage (in decimal form), and B is the total.

In this case, we are given that 22% of a certain number is equal to 37.4. So we have:

A = 0.22 * B

We want to solve for B, so we can rearrange the formula:

B = A / 0.22

Substituting A = 37.4 into the equation:

B = 37.4 / 0.22

Calculating this:

B ≈ 170

Therefore, 22% of approximately 170 is equal to 37.4.

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Answer:

It's position at time t = 5 is 593.

Step-by-step explanation:

The velocity v(t) is the integral of the acceleration a(t)

The position s(t) is the integral of the velocity v(t)

We have that:

The acceleration is:

\(a(t) = 24t + 2\)

Velocity:

\(v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K\)

K is the initial velocity, that is v(0). Since V(0) = 13, K = 13

Then

\(v(t) = 12t^{2} + 2t + 13\)

Position:

\(s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K\)

Since s(0) = 3

\(s(t) = 4t^{3} + t^{2} + 13t + 3\)

What is its position at time t=5?

This is s(5).

\(s(t) = 4t^{3} + t^{2} + 13t + 3\)

\(s(5) = 4*5^{3} + 5^{2} + 13*5 + 3\)

\(s(5) = 593\)

It's position at time t = 5 is 593.

Answer:

28 i think

Step-by-step explanation:

Answer:

2/6

1/3 simplified

Rise over run

choose any two points on the graph and do rise over run

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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Answer:

The answer is 2

Step-by-step explanation:

Given:

a = √2

b = √5

c = √10 = (√2 × √5)

Now,

ac/b

= √2√10 ÷ √5

= √2 × √2 × √5 ÷ √5

= √2 × √2 = √4 = 2

Thus, The answer is 2

-TheUnknownScientist

Answer:

2

Step-by-step explanation:

√2*√10

=4.471/2.236

=1.999

approximately =2

Answer:

x+5

Step-by-step explanation:

3(x+4)-(2x+7)

1. Distribute 3 to x and 4

3x+12-2x+7

2. Distribute the "-" to 2x and 7

2x+12-2x-7

3. Subtract 7 from 12

3x+12-2x-7

3x+5-2x

4. Combine like terms

3x+5-2x

1x+5

Answer:

x+5

Answer:

d = 50h

Step-by-step explanation:

We are using the linear property y = mx.

We know that distance = rate × time, so if we subsitute this, we get that the distance is d, the rate is 50 mph, and the time is h.

Therefore, we can form the equation d = 50h.

Answer:

The lowest score eligible for an award is 92.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\(\mu = 82.2, \sigma = 5\)

If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award

The lowest score is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975. So X when Z = 1.96. Then

\(Z = \frac{X - \mu}{\sigma}\)

\(1.96 = \frac{X - 82.2}{5}\)

\(X - 82.2 = 5*1.96\)

\(X = 92\)

The lowest score eligible for an award is 92.

The least number of mice that he has to take out of his hat would be 23.

We have the following details to solve this problem

x = 14

t = 8

u = 6

n1 = x + t + 1

= 14 + 8 + 1 = 23

​

n2 = t + u + 1

= 8 + 6 + 1 = 15

​

n3 = x + u + 1

= =14+6+1=21

From here the

max n (n1, n2, n3) = 23, 15, 21

Hence the least number that has to be taken out would be 23.

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An attempt to divide by zero gives a contradictory result

A rule of algebra broken is dividing by zero (leading to a contradiction) and stating a finite result

Reason:

The given calculation is presented as follows;

1. a > 0, b > 0 given

2. a = b given

3. a·b = b²

4. a·b - a² = b² - a²

5. a·(b - a) = (b + a)·(b - a)

6. a = b + a

7. 0 = b

8. b = 2·b

9. 1 = 2

From line 4, the result are;

4. a·b - a² = b² - a² = 0

5. a·(b - a) = (b + a)·(b - a) = 0

On line 6, both sides where divided by (b - a) = 0, which should given an infinite result

Therefore, one rule of algebra broken is dividing by zero to get a finite result

In line 7, we have;

7. 0 = b

From 6. a = b + a, and a = b, we have;

8. b = 2·b

Therefore, line 9 should be;

9. 0 = 2·0; 0 = 0, given that we have;

1 × 0 = 0

2 × 0 = 0

∴ 1 × 0 = 2 × 0

However

In line 9., by dividing by b = 0, again, we have;

Therefore, one rule of algebra that is broken is dividing by zero and having a finite result

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The program is an illustration of loops and conditional statements and the part of the complete program is

n = int(input())

for i in range(1,n+1):

  if not(i%3 == 0 or i%5==0):

The program written in Python where comments are used to explain each line is as follows:

#This gets input for n

n = int(input())

#This iterates through n

for i in range(1,n+1):

  #If the current number is not a multiple of 3 and 5

  if not(i%3 == 0 or i%5==0):

      #This prints the number

      print(i,end="")

  else:

      #This prints "Fizz", if the current number is a multiple of 3

      if i%3 == 0:

          print("Fizz",end="")

      #This prints "Buzz", if the current number is a multiple of 5

      if i%5==0:

          print("Buzz",end="")

  #This prints a new line

  print()

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According to given information, this table represents a probability distribution.

What is probability distribution?

A probability distribution is a function that describes the likelihood of different outcomes in a random event. It gives us a way to assign probabilities to each possible outcome in a sample space, which is the set of all possible outcomes. In a probability distribution, each possible outcome is associated with a probability, and the probabilities of all possible outcomes sum to 1.

To determine whether this table represents a probability distribution, we need to check two things:

The sum of all probabilities is equal to 1.

All probabilities are non-negative.

Let's check these two conditions:

Sum of all probabilities = 0.3 + 0.3 + 0.1 + 0.3 = 1. This condition is met.

All probabilities are non-negative, and each probability is less than or equal to 1. This condition is also met.

Therefore, this table represents a probability distribution.

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Answer:

6:3

Step-by-step explanation:

Answer and Step-by-step explanation:

3 of the options are not to be chosen, and 3 are wanted.

That means that anything above 3 (so, 4, 5, or 6) are the numbers that are wanted, while the numbers 1, 2, and 3 are not wanted.

We have 6 total options.

The ration would be:

3:6, or 3 to 6. This reduces down to 1:2, or 1 to 2.

That means that there is a 50% chance of getting 4, 5, or 6.

#teamtrees #PAW (Plant And Water)

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer:

13

Step-by-step explanation:

If 23 like both animals, then the total number of people who like both animals is:

(75 - 23) + (135 - 23) + 23 = 187

Subtract 187 from the total number of people in the survey to find how many like neither:

200 - 187 = 13

Answer:

attached below is the solution

Step-by-step explanation:

|x| < 7

= -7 < x < 7

| y | < 3

= -3< y < 3

attached below is the shaded region in the xy-plane