Write the equivalent percent for each fraction.

72
%

41,000
%

1025
%

38
%

15 will be the new median.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.

When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.

Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.

Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).

To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8

Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

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Answer: I calculated the value after 5 years to be 5,734.40 or 5,734

Step-by-step explanation:

Answer:

100 Times larger.

Step-by-step explanation:

4500000/45000=100

Step-by-step explanation:

Because it is 5 units to the left of 1 on a horizontal number line

The step the student first made an error was step B

The given expression in simplest form is 8

From the question we are to determine the step the student first make an error and we are to simplify the given expression correctly.

The given expression is

5 - (-3)

The student steps are as follows:

Step A: 5+ (3)

Step B: 5+8

Step C: 13

The step the student first made an error was step B because

5 + (3) should evaluate to

5 + 3

and eventually 8

The correct simplification process is as follows:

5 - (-3)

Step A: 5+ (3)

Step B: 5 + 3

Step C: 8

Hence, the expression in simplest form is 8

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Answer:

initial value = 3  

 multiplier =4  

     # after 14 days = 3 * 4^(14-1)

        201 326592 beeltes      

Step-by-step explanation:

14 days     day 1 = 3 beetles

start with 3     quadruple it  = 12

3 *4   on day 2

3 *4 *4    on day 3

.

.

.

3 * 4^(14-1)     = beetles on day 14   = a lot of beetles = 201 326 592   !

Step-by-step explanation:

We know that m<1 = m<2 ( being alternate angels) So,

4+ 12x = 11x +12

12x - 11x = 12 - 4

x = 8

Therefore x = 8

Now

m<1 = 4 + 12 * 8

= 4 + 96

= 100

Hope this helps. :)

The number οf histοry bοοks is 180 that sοld in a week. The number οf chemistry textbοοks is 108 sοld in a week.

There are many different ways tο define an equatiοn. The definitiοn οf an equatiοn in algebra is a mathematical declaratiοn that illustrates the equality οf twο mathematical expressiοns.

Given that the tοtal number οf bοοks that sοld in a week is 288.

The number οf chemistry textbοοks sοld was 72 less than the number οf histοry textbοοks sοld.

Assume that the number οf histοry textbοοks sοld was x.

The number οf chemistry textbοοks sοld was (x-72)

The tοtal number οf bοοks sοld was x + (x-72) = 2x - 72.

Accοrding tο the questiοn:

2x - 72 = 288

Add 72 frοm bοth sides:

2x - 72 + 72 = 288 + 72

2x = 360

Divide bοth sides by 2:

x = 360/2

x = 180

The number οf histοry textbοοks sοld was 180.

The number οf chemistry textbοοks sοld was (180-72) = 108.

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The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.

We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.

According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by

x = (-b +/- √(b² - 4ac)) / (2a)

In this formula, if we add "ax² = y," we obtain

x = (-0 +/- √(0² - 4ay)) / (2a)

which simplifies to

x = √(-4ay) / (2a)

If a = 4, the equation becomes

x = √(-16y) / 8

The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.

The equation has a single solution provided by any other value of a.

x = √(-4ay) / (2a)

For example, if a = 3, the equation becomes

x = √(-12y) / 6

Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.

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Answer:

167

Step-by-step explanation:

180-130-37

=13 (sum of angles in a triangle)

180-13

=167 (angles on a straight line)

Answer:

g/7

Step-by-step explanation:

Answer:G/7

Step-by-step explanation:G/7

Cofunction pairs are shifted by π/2 radians (90 degrees) from each other.

Cofunction pairs are shifted by π/2 radians (90 degrees) from one another. It means that the value of one function at an angle is equal to the other function at that angle plus π/2 radians.

For example, the sine function and cosine function are cofunctions, and they are shifted by π/2 radians from each other. The same is true for other cofunction pairs such as tangent and cotangent, and secant and cosecant.

This means that the value of the sine function at a certain angle is equal to the cosine function at that angle plus π/2 radians (90 degrees), and vice versa. Similarly, the same for value of the tangent function, secant function at a certain angle.

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The difference between both points is the distance

Subtract

Answer:

\(8\frac{7}{20}\)

Step-by-step explanation:

Step 1:  Convert both mixed fractions into improper fractions

\(4\frac{3}{5}\)

\(\frac{3+(4*5)}{5}\)

\(\frac{3+20}{5}\)

\(\frac{23}{5}\)

\(-3\frac{3}{4}\)

\(-\frac{3+(3*4)}{4}\)

\(-\frac{3+12}{4}\)

\(-\frac{15}{4}\)

Step 2:  Convert to have common denominators

\(\frac{23}{5}*\frac{4}{4}\)

\(\frac{23*4}{5*4}\)

\(\frac{92}{20}\)

\(-\frac{15}{4}*\frac{5}{5}\)

\(-\frac{15*5}{4*5}\)

\(-\frac{75}{20}\)

Step 3:  Determine the length of a segment

\(\frac{92}{20}-(-\frac{75}{20})\)

\(\frac{92}{20}+\frac{75}{20}\)

\(\frac{92+75}{20}\)

\(\frac{167}{20}\)

Step 4:  Convert to mixed number

\(\frac{167}{20}\)

\(\frac{(20*8)+7}{20}\)

\(8\frac{7}{20}\)

Answer: \(8\frac{7}{20}\)

To find the radius of convergence, r, of the series ∑(n=1 to infinity) (5x − 2)^n/n^5, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is L, then the series converges when L < 1 and diverges when L > 1. Applying the ratio test, we have:

L = lim(n→∞) |((5x - 2)^(n+1)/(n+1)^5) / ((5x - 2)^n/n^5)|

Simplifying, we have:

L = lim(n→∞) |(5x - 2)(n/n+1)^5|

Since we're taking the limit as n approaches infinity, the (n/n+1) term tends to 1. Therefore, the limit simplifies to:

L = |(5x - 2)|

For the series to converge, we need |5x - 2| < 1. Hence, the radius of

convergence is 1.

To find the interval of convergence, i, we consider the values of x within a distance of 1 from the center of the series, which is x = 2/5. So, the interval of convergence is (-3/5, 7/5) in interval notation.

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Hi nice to meet u ! U seem like such a sweet cool person-----------------------------------------------------------i need friends too :)

Answer:

hi same im from the us and my fist language is Spanish also i hate math but like history and i like anime favorite anime is AOT favorite manga is berserk and favorite game to play is terraria

Step-by-step explanation:

From the given numbers nickels and quarters ,total value of given coins is less than $2.50 then maximum number of quarters to meet the given condition is equal to 3.

As given in the question,

Let x represents the number of nickels

And y represents the number of quarters

Total number of nickels and quarters are 35

Total value of given coins = $2.50

Required equation for the given condition is:

x + y = 35   ___(1)

1 nickel = 0.05 dollars

1 quarter = 0.25 dollars

0.05x + 0.25y <2.50 ___(2)

Substitute x = 35 - y in (2) we get,

0.05 ( 35 - y ) + 0.25y < 2.50

⇒1.75 - 0.05y + 0.25y < 2.50

⇒ 0.2y < 2.50 - 1.75

⇒ 0.2y < 0.75

⇒ y < 3.75

Maximum number of quarters for the given condition is equal to 3.

Therefore, for the given numbers nickels and quarters ,total value of given coins is less than $2.50 then maximum number of quarters to meet the given condition is equal to 3.

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Solution:

Consider the following injective function:

this is equivalent to:

by cross-multiplication, this is equivalent to:

now, applying the distributive law, we get:

this is equivalent to:

Applying the common factor, we get:

this is equivalent to:

solving for x, we get:

so that, we can conclude that the correct answer is:

Answer:

Y axis is dependent

Step-by-step explanation:

and x axis is independent, so if its on the x axis, its alwasy a independent variable, hope it helped Lol

Coordinate of circumcenter of the given triangle = (3, 2)

What is circumcenter of a triangle?

Circumcenter of a triangle is the point of intersection of the perpendicular bisectors of every sides of the triangle.

Let the coordinate of circumcenter be (x , y)

Distance of Circumcenter from (4,2) =

\(\sqrt{(x - 4)^2 + (y-2)^2\)

Distance of Circumcenter from (3, 3) =

\(\sqrt{(x - 3)^2 + (y-3)^2\)

Distance of Circumcenter from (2,2) =

\(\sqrt{(x - 2)^2 + (y-2)^2\)

By the problem,

\(\sqrt{(x - 2)^2 + (y-2)^2} = \sqrt{(x - 3)^2 + (y-3)^2}\\(x - 2)^2 + (y-2)^2} = (x - 3)^2 + (y-3)^2}\\x^2 - 4x + 4 + y^2 -4y + 4 = x^2 -6x + 9 + y^2-6y + 9\\6x - 4x +6y -4y = 18-8\\2x +2y = 10\\x+ y = 5\\\)..... (1)

Again,

\(\sqrt{(x - 4)^2 + (y-2)^2} = \sqrt{(x - 3)^2 + (y-3)^2}\\(x - 4)^2 + (y-2)^2} = (x - 3)^2 + (y-3)^2}\\x^2 - 8x + 16 + y^2 -4y + 4 = x^2 -6x + 9 + y^2-6y + 9\\8x - 6x +4y -6y = 20-18\\2x -2y = 2\\x- y = 1\\\)...... (2)

Adding (1) and (2)

\(2x = 6\\x = \frac{6}{2}\\x = 3\)

Putting the value of x in (1),

3 + y = 5

y = 5 - 3

y  = 2

Coordinate of circumcenter = (3, 2)

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Answer:

A parallelogram is a four-sided figure with opposite sides that are parallel.

The size of the angle x in the pentagon is 36 degrees.

A regular pentagon is a polygon with five sides. The angles of a regular polygon is equal to each other.

Therefore,

the sum of angles in a regular pentagon = 540 degrees.

Each angle in a regular pentagon is 540 / 5 = 108 degrees.

The rhombus is inside the pentagon. Opposite angles in a rhombus are equal.

Therefore, the sum of interior angles of a rhombus adds up to 360 degrees

Hence,

108 + 108 + 2y  = 360

where

y is the angle of the rhombus on the x variable.

Therefore,

2y = 360 - 216

2y = 144

y = 144 / 2

y = 72°

Therefore,

x = 108 - 72

x = 36 degrees

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Answer:

0

Step-by-step explanation:

(5x^2+4x-7) + (-5x^2-4x+7)

= 5x² + 4x - 7 - 5x² - 4x + 7

= 4x - 7 - 4x + 7

= - 7 + 7

= 0

Answer: you know it’s 9mins but Im not sure how I should make the equation probably I think (53= 9T + 4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of one pen will be largest when the area of a ractangle is the largest.

x - one side of rectangular area      (x>0)

y - second side of rectangular area   (y>0)

The farmer has 750 m of fencing, so if we subtract the sides x and fencing used for dividing into pens we receive:

y = 750 - 5x          (750-5x>0  ⇒  x<150)

Area of the rectangle:  A = x•y

A(x) = x•(750 - 5x)             D=(0, 150)

A(x) = -5x² + 750x            

A'(x) = -5•2x + 750•1 = -10x + 750 = -10(x - 75)

if x=75 then A'(x) = 0

so x = 75 is critical point

First Derivative Test:

A'(x) > 0  ⇔ -10(x-75)>0 ⇔  x-75<0  ⇔ x<75

A'(x) < 0  ⇔ -10(x-75)<0 ⇔  x-75>0  ⇔ x>75

A′(x)>0 to the left of x=75 and A′(x)>0 to the right of x=75 then x=75 is a maximum. {rational but also global in the interval (0,150)}

A(75) = 75•(750 - 5•75) = 75•375 = 28125 m²

So the largest possible area of each of the four pens is:  

8125 : 4 = 7031.25 m²

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

Answer:

Step-by-step explanation: Jay might run 4 miles in 20 minutes. Step-by-step explanation: If Jay ran on Monday = 1 mile in 5 minutes. On Tuesday = 2 miles in 10 minutes.

The expression \(\int\limits^b_a f(g(x))g' (x) \, dx =\int\limits^{g(b)}_{g(a)} f(u) \, du\), where u=g(x) and du=g (x)dx is represents the method of substitution (or change of variables) for definite integrals. Option a is correct.

The given expression represents the method of substitution, also known as change of variables, for definite integrals. This method involves substituting a new variable (in this case, u = g(x)) and its differential (du = g'(x)dx) to transform the integral into a new form. By making this substitution, the limits of integration also change from a and b to g(a) and g(b).

This technique is commonly used to simplify integrals by replacing complicated expressions with simpler ones, making it easier to evaluate the integral. It is an important tool in calculus and is often used when the integrand involves composite functions.

Therefore, a is correct.

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