One year, the population of a city was 358,000. Several years later it was 286,400. Find the percent decrease.

Answer:

10/85=8/x 10x=680 x=680/10 x=68

Step-by-step explanation:

hehe boris

Linear Functions:

f(x) = 2x - 1

g(x) = -0.5x + 3

Nonlinear Functions:

h(x) = x^2 + 3

k(x) = sin(x)

A linear function is a function that has a constant rate of change, meaning that the change in the output value is proportional to the change in the input value. This results in a straight-line graph when plotted.

The two functions listed under Linear Functions, f(x) and g(x), both have a constant rate of change and therefore, are linear functions.

A nonlinear function is a function that does not have a constant rate of change, meaning that the change in the output value is not proportional to the change in the input value. This results in a curved graph when plotted. The two functions listed under Nonlinear Functions, h(x) and k(x), do not have a constant rate of change and therefore, are nonlinear functions.

The function h(x) is a quadratic function, which is a common type of nonlinear function. The function k(x) is a sinusoidal function, which is another common type of nonlinear function.

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Wait hold on it should be C I think correct me if I'm wrong doe-

Answer:

d30hdgufuhzckvjxgtxigfyytexygisttsfuztrguerjhagj

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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Given:

A random sample of students was surveyed and asked to list their grade level and what movie genre prefer.

Required:

What percent of the students prefer comedies?

Explanation:

We have students who like comedy are 38 and total students 115.

Now, percentage is

Answer:

Hence, 33.0 is the answer.

The value of x shown in the right angled triangle is 15.9 units

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Pythagoras theorem shows the relationship for the sides of a right angled triangle. It is given by:

Hypotenuse² = Adjacent² + Opposite²

From the diagram, substituting:

17² = x² + 6²

x² = 17² - 6²

x² = 253

x = 15.9 units

The value of x is 15.9 units

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Answer:

Volume of solid = 737 cm³ (Approx)

Step-by-step explanation:

Given:

Radius r = 4 cm

Length of cylinder = 12 cm

Find:

Volume of solid

Computation:

Volume of solid = Volume of hemisphere + Volume of cylinder

Volume of solid = (2/3)πr³ + πr²h

Volume of solid = (2/3)π(4)³ + π(4)²(12)

Volume of solid = 134 + 603

Volume of solid = 737 cm³ (Approx)

Answer:

737.23

Step-by-step explanation:

formua for sphere:

V = 4/3 πr^3

so the volume would be 268.08

divide by 2 bc its only half of a sphere

you get 134.04

formula for cylinder:

V = πr^2h

so the vlume would be 603.19

add the volumes together you get 737.23

The desired linear functions are given as follows:

a) x = a.

b) y = b.

A linear function is modeled by:

y = mx + b

In which:

A vertical line has undetermined slope, hence it is defined by x = a, containing point (a,b).

A horizontal line has slope of 0, hence it is defined by y = b, containing point (a,b).

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Answer:

\( \boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^{ \circ} \\ \displaystyle\sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \end{array}}\)

Step-by-step explanation:

we are given a inverse trig

we want to figure out the value of \(\theta\)

in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°

therefore,

the value of theta is 120°

likewise by unit circle the value of sine is

\( \displaystyle \sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \)

Answer:

Speed of sidekick : 600

Speed of superhero : 500

Step-by-step explanation:

x = sidekick speed

speed of hero = x-100

Time of hero = -36

1800/(x-100) = (1800/x) + 0.6

That equations solves to x = 600 and x = 500 or -500

The given difference in speed and the arrival time, as well as the

distance traveled, gives the speeds as 500 and 600 km/hr.

Response:

The given parameters are;

Superhero's speed = 1800 km

Speed of the superhero = Speed of the sidekick - 100 km/h

The time the superhero arrives at the hideout = 36 minutes after the sidekick = 0.6 hours

Required:

The speed of the superhero and the sidekick

Solution:

Let v represent the speed of the superhero, we have;

v × (t + 0.6) = (v + 100) × t

v·t + 0.6·v = v·t + 100·t = 1800

0.6·v = 100·t

\(t = \dfrac{0.6}{100} \cdot v\)

Therefore;

0.006·v² + 0.6·v - 1800 = 0

Which gives;

v² + 100·v - 300,000 = 0

(v - 500)·(v + 600) = 0

v = 500, or v = -600

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Answer:

192

Step-by-step explanation:

(a x b) x c

Let a=2  b=8  c=12

(2 * 8) * 12

16 * 12

192

Answer:

Step-by-step explanation:

\(a = 2\\b = 8\\c = 12\\\\(a \times b) \times c\\\\(2 \times 8) \times 12\\\\(16) \times12\\\\= 192\)

Answer:

\(x = 2 \frac{1}{4} \)

Step-by-step explanation:

\( {x}^{2} = \frac{81}{16} \)

\(x > 0\)

\(x = \sqrt{ \frac{81}{16} } \)

\(x = \frac{ \sqrt{81} }{ \sqrt{16} } = \frac{9}{4} = 2 \frac{1}{4} \)

Answer:

x^2 = 81/16

x = +√(81/16) = +9/4

Answer:

Never learned this

Step-by-step explanation:

Answer:

I think the answer is D. but im not sure

hope this helps

have a good day :)

Step-by-step explanation:

The number of solutions an equation has depends on its properties and graph behavior. If the equation does not intersect the x-axis, it has no real solution. If it intersects the x-axis at a single point, it has one unique real solution. If it intersects the x-axis at two distinct points, it has two real solutions.

To determine the number of solutions an equation has, we need to consider the type of equation and the behavior of its graph.

1. No real solution: This means that the equation does not have any solution in the set of real numbers. It implies that the graph of the equation does not intersect the x-axis.

2. One unique real solution: This means that the equation has exactly one solution in the set of real numbers. It implies that the graph of the equation intersects the x-axis at a single point.

3. Two real solutions: This means that the equation has two distinct solutions in the set of real numbers. It implies that the graph of the equation intersects the x-axis at two different points.

To determine the number of solutions, it's important to consider the specific equation in question and analyze its properties and behavior.

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The experimental probability of getting a cinnamon jelly bean is P = 2/11

Suppose that we have an experiment with some given number of outputs, and we perform that experiment N times.

The experimental probability of a given outcome is equal to the quotient between the number of times that we got that outcome and the total number of times we performed the experiment.

Here we have the data:

root beer = 5

licorice = 22

cinnamon = 6

For a total of 5 + 22 + 6 = 33 tries.

Then the probability of getting a cinnamon jelly bean is:

P = 6/33 = 2/11

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If 15 employed women are randomly select:

(A) The probability that exactly 2 of them have never been married is 0.0476

(B) At most 2 of them have never been married is 0.0617

(C) At least 13 of them have been married is 0.2884

Permutations and combinations are methods used to calculate the number of possible outcomes in various situations. Permutations are understood as permutations and combinations are understood as select.

According to the Question:

(A) the probability of:

P( at most  2 have been married)

P(X ≤ 2) = P(X=0) + P(X =1) +P(X=2)

            = \(\frac{15!}{0!15!} (0.57)^0 (0.43)^{15} + \frac{15!}{11!14!} (0.57)^1 (0.43)^{14}\)

            = 0.0476

(B)  P( at most  2 have never been married)

P(X ≤ 2) = P(X=0) + P(X =1) +P(X=2)

             = 0.0617

(C) 1 - 35% = 65%

  0.65¹³ × (13×12/ 1×2)

= 0.2884

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Answer:

16

Step-by-step explanation:

tan^-1 (2.1/ 7.2) = 16 .26...

The distance between the two given points coordinates is; Option C: √85

Formula for the distance between two coordinates is;

d = √((x₂ - x₁)² + (y₂ - y₁)²)

We are given the coordinates as;

(-2, 3) and (5, -3). Thus;

d = √((-2 - 5)² + (-3 - 3)²)

d = √(49 + 36)

d = √85

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Answer:

n= 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

419 = 24n + 35

419 - 35 = 24n

384 = 24n

384/24 = n

16 = n

Therefore, n = 16

Answer:

She has 7.75 left on her card

Step-by-step explanation:

She starts with $15.25 on the card. The formula is N = 15.25 - 0.25x.

She bought 30 of the film. Replace x with 30.

N = 15.25 - 0.25(30)

Multiply 0.25 by 30. (you can think of this as 1/4 of 30)

N = 15.25 - 7.50

Subtract the two remaining numbers

N = 7.75

The value of  \(125x^3 + 27y^6z^9\) factors to \((5x + 3y^2z^3)(25x^2 - 15xy^2z^3 + 9y^4z^6).\) and option D is the correct answer.

In algebra, there are two opposing operations: factoring and expanding. In order to create a longer and more complex expression, expanding entails multiplying out expressions. On the other hand, factoring entails dissecting a complicated expression into smaller factors.

In conclusion, factoring entails division whereas expanding involves multiplication.

To factor \(125x^3 + 27y^6z^9\), we can use the sum of cubes formula:

\(a^3 + b^3 = (a + b)(a^2 - ab + b^2)\)

In this case, a = 5x and \(b = 3y^2z^3\):

Simplify the expression by using the identity and rearranging the expression to get the desired output:

\(125x^3 + 27y^6z^9 = (5x)^3 + (3y^2z^3)^3\\= (5x + 3y^2z^3)((5x)^2 - (5x)(3y^2z^3) + (3y^2z^3)^2)\\= (5x + 3y^2z^3)(25x^2 - 15xy^2z^3 + 9y^4z^6)\)

Therefore, \(125x^3 + 27y^6z^9\) factors to \((5x + 3y^2z^3)(25x^2 - 15xy^2z^3 + 9y^4z^6).\) Hence, option D is the correct answer.

2. The difference of cubes is given by the equation

8x¹⁵ - 125y³

The expression can be written as:

(2x⁵)³ - (5y)³

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Answer: 9/4 and -2/1 (or -2)

Step-by-step explanation: Reciprocals are just the fraction flipped

The given sequence defined by a1 = 1 and an+1 = 5 - 1/an is increasing, meaning each term is greater than the previous term. Additionally, all terms in the sequence are less than 5.

To prove that the sequence is increasing, we need to show that each term is greater than the previous term. We can do this by induction.

For the base case, a1 = 1.

Now, assuming an > an-1, let's consider an+1:

an+1 = 5 - 1/an

Since an > an-1, 1/an > 1/(an-1), and 5 - 1/an < 5 - 1/(an-1).

From the induction assumption, 5 - 1/(an-1) < 5 - 1/an-1.

Therefore, 5 - 1/an < 5 - 1/(an-1), which means an+1 > an. Hence, the sequence is increasing.

To prove that an < 5 for all n, we can also use induction.

For the base case, a1 = 1 < 5.

Assuming an < 5, let's consider an+1:

an+1 = 5 - 1/an

Since an < 5, 1/an > 1/5.

Therefore, 5 - 1/an < 5 - 1/5 = 4.8.

Hence, an+1 = 5 - 1/an < 4.8, which means an+1 < 5. Thus, an < 5 for all n.

Therefore, we have shown that the sequence defined by a1 = 1 and an+1 = 5 - 1/an is increasing, and all terms in the sequence are less than 5.

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Answer:

Mean = 29300

median = 23500

Modal = 23000

Step-by-step explanation:

Mean = Add them all and divide by 10

= 29300

median = average of (rank of 5th and 6th)

= (23000 + 24000) /2

= 23500

Modal = appear the most

= 23000

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer: All of thé above

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

Pick two points from the table.

(-1, 1) and (1, 7)

Apply the slope formula.

\(m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}\)

Hope this helps.

Answer:

1

Step-by-step explanation:

The volume of this cube is  1 cu.cm , Option B is the correct answer.

A cube is a three dimensional shape having 6 square faces , all the faces are of equal length , breadth and height.

The volume of the cube is given by side * side * side

Let side =  a

Then volume of the cube = a³

In the given figure all the side of the cube is given as 1 cm.

Therefore to determine the value of the volume , we will substitute in the equation

V = (1)³

Volume = 1 cu.cm

Therefore , the volume of this cube is  1 cu.cm, Option B is the correct answer.

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Answer: B

Step-by-step explanation: ;)

Answer:

10.7a - 6

Step-by-step explanation:

(3 + 16.4a) − (9 + 5.7a)= 3 + 16.4a - 9 - 5.7a

                                   = 10.7a - 6