Would you classify 225 as a perfect square, perfect cube, both, or neither?

Answer:

Step-by-step explanation:

9x² + 18x + 9

Factor out 9 from the expression

That's

9( x² + 2x + 1)

Using the identity

a² + 2ab + b² = ( a + b)² factor the expression

We have the final answer as

Hope this helps you

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

Sarah bought 30 pencils

Step-by-step explanation:

1. Let define p, as the number of pencils bought, and m, as the number of markers bought.

2.

\(0.15p+0.30m=7.50\)

\(p=3m\)

3. Substitute p in the first equation to 3m since p=3m as defined.

\(0.15(3m) + 0.30m=7.50\\0.45m+0.30m=7.50\\0.75m=7.50\\m=10\)

plug m into equation p=3m to find the number of pencils bought

\(p=3m=3(10)=30\)

Answer:

Hundredth

Step-by-step explanation:

The second decimal place to the right of the decimal point is called the hundredth place.

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

x = 22.5

Step-by-step explanation:

the segment from the vertex to the base is an angle bisector and divides the opposite side ( base) into segments that are proportional to the other two sides, that is

\(\frac{9}{x-9}\) = \(\frac{12}{18}\) = \(\frac{2}{3}\) ( cross- multiply )

2(x - 9) = 27

2x - 18 = 27 ( add 18 to both sides )

2x = 45 ( divide both sides by 2 )

x = 22.5

Given :

Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.

There were 216,000 cars sold last year.

To Find :

Equation that can be used to find the number of trucks, t, sold last year.

Solution :

Let , number of truck sold is t and number of car sold is c.

It is given that the number of cars sold was 39,000 more than three times the number of trucks sold.

So ,

\(c=3t+39000\\\\t=\dfrac{c-39000}{3}\)

Putting value of c = 216000 in above equation , we get :

\(t=\dfrac{c-39000}{3}\\\\t=\dfrac{216000-39000}{3}\\\\t=59000\)

Hence , this is the required solution .

​

An equation is formed of two equal expressions. An equation that can be used to find the number of trucks, t is 216,000 = 39,000 + 3t.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that in the Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. Therefore, we can write,

Number of cars sold = 39,000 + 3 times the number of trucks sold

Number of cars sold = 39,000 + 3t

where t represents the number of trucks sold.

Given that number of cars sold is 216,000. Therefore, the equation can be solved for t as shown below.

216,000 = 39,000 + 3t

216,000 - 39,000 = 3t

3t = 177,000

t = 177,000 / 3

t = 59,000

Hence, an equation that can be used to find the number of trucks, t is 216,000 = 39,000 + 3t.

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The area of the region outside r=10+10sintheta but inside r=30sintheta is :  

479.6 square units.

To find the area of the region outside r=10+10sintheta but inside r=30sintheta, we need to use polar coordinates.

First, we need to find the values of theta at which the two curves intersect. Setting them equal to each other, we have:
10+10sintheta = 30sintheta

Simplifying, we get:
10 = 20sintheta
sintheta = 1/2
theta = pi/6 or 5pi/6

These are the two values of theta at which the two curves intersect.

Next, we need to find the limits of integration for theta. We want to integrate from theta=0 to theta=2pi, but we need to exclude the region between the two curves. So we can split the integral into two parts:

- From theta=0 to theta=pi/6 and from theta=5pi/6 to theta=2pi, we integrate from r=10+10sintheta to r=30sintheta.
- From theta=pi/6 to theta=5pi/6, we integrate from r=0 to r=30sintheta.

Using the formula for the area of a polar region, we have:
A = 1/2 ∫(r2 - r1) dtheta

For the first part of the integral:
A1 = 1/2 ∫(30sintheta)2 - (10+10sintheta)2 dtheta
A1 = 1/2 ∫(900sin2theta - 200 - 400sintheta - 100sin2theta) dtheta
A1 = 1/2 ∫(800sin2theta - 400sintheta - 200) dtheta
A1 = 1/2 [-200cos2theta + 200costheta - 200theta]π/6 + 5π/6 to 2π
A1 = 1/2 [-200 + 100√3 + 100π]

For the second part of the integral:
A2 = 1/2 ∫(30sintheta)2 - 0 dtheta
A2 = 1/2 ∫900sin2theta dtheta
A2 = 1/2 [450θ]π/6 to 5π/6
A2 = 1/2 [225π/3]
A2 = 75π/2

Adding the two parts together, we get:
A = A1 + A2
A = 1/2 [-200 + 100√3 + 100π] + 75π/2
A ≈ 479.6

Therefore, the area of the region outside r=10+10sintheta but inside r=30sintheta is approximately 479.6 square units.

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The domain: H: (-00,-) and the range: I: (-2,4)

To find the domain and range of the given puzzle,

1. Find the domain:

We have the choices

A: (-0,5)

B: (-0,4)

C: (-2,0)

D: (-4,-)

E: (-5, -0)

F: (-3,0)

G: (0,0)

H: --0,4)

I: (-2,4)

2. Find the range:We have the choices Answer choices:

A: (-0,5)

B: (-0,4)

C: (-2,0)

D: (-4,-)

E: (-5, -0)

F: (-3,0)

G: (-0,0)

H: (-2,4)

Based on the answer choices, the correct selections would be:

domain: H: (0,0) and the range: I: (-2,4)

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The appropriate z-value to use in the situation given in the question is 1.28.

Given,Total number of adults in the sample = 2092

Number of adults using the internet = 1318

Number of internet users who expect businesses to have websites that give product information = 1041

Probability of internet users who expect businesses to have websites that give product information as per the teacher's statement = 80% = 0.8

To find the appropriate z-value to use in this situation, we need to calculate the standard error of proportion, which is given by:

SEp = √[p(1-p)/n]

where p is the proportion of internet users who expect businesses to have websites that give product information and n is the sample size.

Substituting the given values in the formula,

SEp = √[(1041/1318)(1-1041/1318)/1318]SEp = 0.019

z-value is given by:

z = (p - P)/SEp

where P is the proportion of internet users who expect businesses to have websites that give product information as per the teacher's statement.

Substituting the given values in the formula,

z = (0.8 - 1041/1318)/0.019

z = - 1.28

The appropriate z-value to use in this situation is -1.28.

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Step-by-step explanation:

5f

5 + n times of a number

Answer:

7. B

8. D

Step-by-step explanation:

Answer:

5 × (20+3) it ez math bro 5 th grade

Answer:

....

Step-by-step explanation:

The values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally are p > 0.

To determine the values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally, we can apply the alternating series test.

According to the alternating series test, a series of the form ∑((-1)^n * b_n) converges conditionally if:

1. The terms b_n are positive and decreasing (|b_n+1| ≤ |b_n|), and

2. The limit of b_n as n approaches infinity is 0 (lim(n→∞) b_n = 0).

In this case, our terms are b_n = 1 / (n^p). Let's check these conditions:

1. The terms are positive and decreasing:

  To satisfy this condition, we need to show that |(1 / ((n+1)^p))| ≤ |(1 / (n^p))| for all n.

  Taking the ratio of consecutive terms:

  |(1 / ((n+1)^p)) / (1 / (n^p))| = (n^p) / ((n+1)^p) = (n / (n+1))^p.

Since (n / (n+1)) is less than 1 for all n, raising it to the power p will still be less than 1 for p > 0. Therefore, the terms are positive and decreasing.

2. The limit of the terms as n approaches infinity is 0:

  lim(n→∞) (1 / (n^p)) = 0 for p > 0.

Based on the conditions of the alternating series test, the series converges conditionally for p > 0.

Therefore, the values of p for which the series ∑(n=1)^(∞) ((-1)^n / (n^p)) converges conditionally are p > 0.

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Answer:

niki minaj " im the queen of rap" she said it

Step-by-step explanation:

Answer:

Nicki Minaj

Explanation:

Onika Tanya Maraj-Petty, known professionally as Nicki Minaj, has held the “Queen of Rap” title for at least ten years.

Answer: See explanation

Step-by-step explanation:

x=-(2-2*the square root of 6)/5, about 0.58

or

x=-(2+2*the square root of 6)/5, about -1.38

The values of the x from equation  \(5x^2+4x-4=0\) are  x = 0.5798 and -1.38.

Given that:

Equation:  \(5x^2+4x-4=0\)

To find the values of x that satisfy the equation \(5x^2+4x-4=0\), use the quadratic formula:

\(x = \dfrac{ -b \± \sqrt{b^2 - 4ac}}{ 2a}\)

Compare the equation with \(ax^2 + bx + c = 0\).

Here, a = 5, b = 4, and c = -4.

Plugging in the values to get,

\(x = \dfrac{-4 \± \sqrt{4^2 - 4 \times 5 \times (-4)}}{2 \times 5} \\x = \dfrac{-4 \± \sqrt{16 +80}}{10} \\x = \dfrac{-4 \± \sqrt{96}}{10}\\x = \dfrac{-4 \± {4\sqrt6}}{10}\)

So the solutions for x are calculates as:

Taking positive sign,

\(x = \dfrac{-4 + {4\sqrt6}}{10}\\x = \dfrac{-4 + {9.798}}{10}\\\)

x = 5.798/10

x = 0.5798

Taking negative sign,

\(x = \dfrac{-4 - {4\sqrt6}}{10}\\x = \dfrac{-4 - {9.798}}{10}\\\)

x = -13.798/10

x = -1.38

Hence, the exact solutions for the equation  \(5x^2 + 4x - 4 = 0\)  are x = 0.5798 and -1.38.

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Answer:

Profit % is 1.94% .

Step-by-step explanation:

The CP of both VCR and TV were same that is Rs 78,000 . So ,

\( => CP \ of \ the \ buyer \ = \ Rs78,000 \times 2 = Rs 156,000 \)

As per Question , on one he made a loss of 4% and profit of 8% on the other .

And , the net SP would be ,

\( => Total \ SP \ = \ \dfrac{96}{100}\times Rs 78,000 + \dfrac{108}{100}\times Rs 78,000 \\\\=> Total\ SP = Rs 74,800 + Rs 84240 \\\\\boxed{\red{\bf => Total \ SP= Rs 159,040 }}\)

So , here clearly SP > CP . So , there's a profit .Hence profit % would be :-

\( => Profit \% = \dfrac{ SP - CP }{CP}\times 100 \\\\=> Profit \% = \dfrac{Rs 159,040-Rs156,000}{Rs156,000}\times 100 \\\\=> Profit\% = \dfrac{3040}{156000}\times 100 \\\\\underline{\blue{\bf => Profit\% = 1.94 \% }}\)

The value of the smaller number is 5

From the question, we are to determine the value of the smaller number

Let one of the numbers be x and the other number be y

From the given information,

The difference of two numbers is 1

That is,

x - y = 1

and

Their sum is 11

That is,  

x + y = 11

Now, we will solve the equations simultaneously

From the first equation

x - y = 1

x = 1 + y     ------------- (3)

Substitute into the second equation

x + y = 11

1 + y + y = 11

1 + 2y = 11

2y = 11 - 1

2y = 10

y = 10/2

y = 5

Substitute the value of y into equation (3)

x = 1 + y

x = 1 + 5

x = 6

Hence, the number is 5

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It would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.

Dennis' reasoning is incorrect.

To determine the rate of picking apples per minute, Dennis correctly divided the total number of apples (24) by the time it took (6 minutes), resulting in 4 apples per minute. However, his approach to calculating the number of apples that could be picked in 8 minutes is flawed.

Dennis multiplied the rate of picking apples per minute (4 apples) by the given time (8 minutes), assuming that the rate remains constant. This approach would be valid if the rate of picking apples per minute were constant, but in this scenario, it is not necessarily the case.

The rate of picking apples could vary depending on factors such as fatigue, efficiency, or other variables. Therefore, it is not accurate to assume that the rate of picking apples per minute remains the same over a longer duration of time.

To determine the number of apples that could be picked in 8 minutes, it would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.

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The area under the curve over [2,5] is 24.

Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.

Let us consider n subintervals. Therefore, width of each subinterval would be:

$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty  }{ R } \\&= \lim _{ n\rightarrow \infty  }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$

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Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.

Therefore, the area under the curve over [2,5] is 21.

From the given data, we can see that the width of the interval is:

Δx = (5 - 2) / n

= 3/n

The endpoints of the subintervals are:

[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]

Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5

The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:

Δx = (5 - 2) / n

= 3/n

Therefore,

Δx = 3/3

= 1

So, the subintervals are: [2, 3], [3, 4], [4, 5]

The right endpoints are:3, 4, 5. The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, Δx is 1, f(x) is 2x

∴ f(c1) = 2(3)

= 6,

f(c2) = 2(4)

= 8, and

f(c3) = 2(5)

= 10

∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx

= 6(1) + 8(1) + 10(1)

= 6 + 8 + 10

= 24

Therefore, the Riemann sum is 24.

To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.

∴ Area = ∫2^5f(x)dx

= ∫2^52xdx

= [x^2]2^5

= 25 - 4

= 21

Therefore, the area under the curve over [2,5] is 21.

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Answer:

No

Step-by-step explanation:

outliers are numbers in a line that exceed out from the range.

Answer:

Step-by-step explanation:

It's awfully deep.

1 minute = 65 meters

10 minutes = 10 * 65 = 650 meters below sea level.

Answer:

Rotation turns a shape around a fixed point called the center of rotation. Rotation is an example of a transformation. A transformation is a way of changing the size or position of a shape.

hope this helps!!:)

Step-by-step explanation:

Using the concept of bearing and vectors, her displacement from starting point is 30.9m.

To determine Victoria starting point, we can apply the concept of bearing and vectors.

Her horizontal component is calculated as

Vx = 9(cos35) + 12(cos 250)

The value is;

Vx = -30.3m

Her vertical components is calculated as;

Vy = 9(sin 35) + 12(sin250)

Vy = -6.11m

The displacement from the starting point will be;

V² = Vx² + Vy²

V = √(Vx² + Vy²)

V = √(-30.3)² + (-6.11)²

V = 30.9m

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Answer:

100 minutes = 1hour 40 minutes

Step-by-step explanation:

25 students in the class.  1/5 of them have blue eyes.

So    1/5(25) = 25/5 = 5

Therefore 5 students have blue eyes.

Next problem

1 hour = 60 minutes

so  1/3 (60)  =20 minutes per wash

Now Sam wash the dishes 5 times a week .  How many minutes does he spend washing dishes?

5 × 20 minutes  = 100 minutes or 5(1/3)(60) = 100 minutes = 1 hour 40 minutes.

Answer:

2.83

Step-by-step explanation:

d= Square root of (x2 - x1 )^2 +( y2- y1)^2

from the point given you

x1= -6

y1 = -17

x2 = -8

y2 = -19

by applying the formula

Square root of ( -8 - (-6))^2 + ( -19 - (-17))^2

Square root of (-8+6) + (-19+17)^2