Last one -Angles not necessarily drawn to scale

Answer:

it is same 8x congruent to the next side.

Answer:

okay so first we are given that P(2016) = 500 and

P(2017) = 672

put in the equation Pn+1 = k[Pn + 60]

put Pn = P(2016) = 500 {n = 2016 here. }

and P(n+1) = 672

now , 672 = k [ 500 + 60 ]

672 = 560k

k = 672 ÷560 = 1.2

now, using k = 1.2

put n = 2017 in equation we get,

P(2018) = 1.2[ P(2017) + 60 ]

P(2018) = 1.2 [ 672 + 60 ]

P(2018) = 878

now, similarly put n = 2018

P(2019) = k [P(2018) + 60 ]

P(2019) = 1.2 [ 878 + 60 ]

P(2019) = 1125 (approx.)

Sorry for bad graphic style.. I am not very advanced at this.

Answer:

1126

Step-by-step explanation:

Given formula:

\(P_{n+1}=k(P_n+60)\)

Given information:

Substitute these values into the formula and solve for k:

\(\begin{aligned}P_{n+1} & = k(P_n+60)\\\implies P_2 & = k(P_1+60)\\672 & = k(500+60)\\672 & = 560k\\k & = \dfrac{672}{560}\\k & = 1.2\end{aligned}\)

Substitute the found value of k into the formula:

\(P_{n+1}=1.2(P_n+60)\)

If:

Then:

Use the formula and the value of P₂ to find P₃ and P₄.

\(\begin{aligned}P_{3} & =1.2(P_2+60)\\& = 1.2(672+60)\\& = 878.4\end{aligned}\)

\(\begin{aligned}P_{4} & =1.2(P_3+60)\\& = 1.2(878.4+60)\\& = 1126.08\end{aligned}\)

Therefore, the prediction for the population on 1st March 2019 is 1126 tadpoles (nearest whole number).

Answer:

2(x+2)² - 18

Step-by-step explanation:

Given

2x² +8x-10

express in the form a(x + b)² + c

Take out common factor 2 from 2x² +8x-10 ==> 2(x² + 4x -5)

x² + 4x - 5 can be converted to the form (x + b)² + c as follows using complete the square technique

(x + b)² = x² +2bx + b²

Comparing  x² +2bx + b² and x² + 4x - 5 we can see that b = 2

So the expression becomes
x² + 4x - 5 = (x+2)³ + c
= x² + 4x + 4 + c

Therefore -5 = 4 - c

c = -5 -4 = -9

Therefore
x² + 4x - 5 = (x+2)³ -9

2(x² + 4x -5) = 2[(x+2)³ -9]

=2(x+2)² -18

ANSWER

Verify

2(x+2)² -18 = 2(x² +4x + 4) - 18 = 2x²+8x +8 - 18 = 2x² + 8x - 10
Thus verified

Answer:

29. The absolute value of 6 is 6

30. The absolute value of -1 is 1

31. The absolute value of -24 is 24

32.The absolute value of 47 is 47

Step-by-step explanation:

Answer:

3/20 left

Step-by-step explanation:

1/4 + 2/5 + 2/10

5/20 + 8/20 + 4/20

17/20

1 - 17/20 = 3/20 left

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

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

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

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

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

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

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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b) Solving the matrix equation, we find r = 8, l = 4, and i = 3. The florist can use 8 roses, 4 lilies, and 3 irises for each centerpiece.

a) The system of linear equations representing the situation is:

r + l + i = 15 (total flowers in one centerpiece)

r = 2(l + i) (twice as many roses as irises and lilies combined)

10(2.50r + 4l + 2i) = 370 (total budget)'

Matrix equation: AX = B, where

A = [[1, 1, 1], [2, -1, -1], [25, 40, 20]],

X = [[r], [l], [i]], and

B = [[15], [0], [370]]

b) Solving the matrix equation, we find r = 8, l = 4, and i = 3. The florist can use 8 roses, 4 lilies, and 3 irises for each centerpiece.

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The Complete Question:

A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The customer has a budget of $370 allocated for the centerpieces and wants each centerpiece to contain 15 flowers, with twice as many roses as the number of irises and lilies combined. (Let r represent the number of roses, l represent the number of lilies, and i represent the number of irises.)

a) Write a system of linear equations that represents the situation. Then write a matrix equation that corresponds to your system.

b) Find the number of flowers of each type that the florist can use to create the 10 centerpieces.

The percentage of people who filed their taxes during the week of tax day is 10%

I can estimate how many people filed their taxes during the week of April 15th using a percentage of 100 is a/b * 100.

A percentage is a portion of a sum divided into 100 equal parts.

Calculate (Number of persons who submitted their taxes during the week of April 15th / total people who filed their taxes that year) times 100 to get the percentage of people who filed during that week.

Let :

a represents the total number of taxpayers during the week of April 15th.

b represents the total number of taxpayers for that year.

The original equation is reduced to

a/b× 100

As an illustration, 100 individuals submitted their taxes the week of April 15th and

Let's say that year, 1000 persons filed their taxes.

= 100/1000 = 10%

Thus, 10% of Americans submitted their taxes during the week of April 15th, or 100 out of 1,000.

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Answer: The answer is {x,y}={17/5,-68/5}

If you solve an equaton and you get with 4=4 that actually means there are infinite solutions, beacuse the result you got is absolutely true.

However, if you get 4=1 or 5=3, that means the equation has no solutions beacuse you got a false resulte.

Answer:

The mean is 3

Step-by-step explanation:

Answer:

A.) 8     B.) -147

Step-by-step explanation:

A.) Divide 32 by 4. 32/4 = 8
B.) Multiply -49 by 3. -49 x 3 = -147

Answer:

52.2

Step-by-step explanation:

If the equation be \($(6 \times 10)+(4 \times 1)+\left(8 \times \frac{1}{10}\right)+\left(3 \times \frac{1}{100}\right)+\left(5 \times \frac{1}{1000}\right)$$\) then the standard form be 64.835.

A canonical, normal, or standard form of a mathematical object is a typical approach to express that object as a mathematical expression in mathematics and computer science. Frequently, it is the one that gives the clearest picture of the object while still enabling distinctive identification.

Let the given equation be \($(6 \times 10)+(4 \times 1)+\left(8 \times \frac{1}{10}\right)+\left(3 \times \frac{1}{100}\right)+\left(5 \times \frac{1}{1000}\right)$$\)

By using PEMDAS order of operations

\($=60+(4 \times 1)+\left(8 \times \frac{1}{10}\right)+\left(3 \times \frac{1}{100}\right)+\left(5 \times \frac{1}{1000}\right)$$\)

simplifying the above equation, we get

\($=60+4+\left(8 \times \frac{1}{10}\right)+\left(3 \times \frac{1}{100}\right)+\left(5 \times \frac{1}{1000}\right)$$\)

\($=60+4+\frac{4}{5}+\left(3 \times \frac{1}{100}\right)+\left(5 \times \frac{1}{1000}\right)$$\)

\($=60+4+\frac{4}{5}+\frac{3}{100}+\left(5 \times \frac{1}{1000}\right)$$\)

\($=\frac{12967}{200}$\)

\($=64 \frac{167}{200}$\)

Therefore, the correct answer is option A) 64.835.

The complete question is:

What is \($(6 \times 10)+(4 \times 1)+\left(8 \times \frac{1}{10}\right)+\left(3 \times \frac{1}{100}\right)+\left(5 \times \frac{1}{1,000}\right)$\) written in standard form?

A) 64.835

B) 640.835

C) 64.8035

D) 648.35

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Answer:

6

Step-by-step explanation:

Terms are what is separated by addition and subtraction.

Answer:

its abt 45 degrees I think

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

could you make this answer brainliest please?

Answer:

Step-by-step explanation:

Let the initial side be x

New skatepark has dimensions:

Its area is:

Answer:

Step-by-step explanation:

A) 12x² y⁵z = 2² * 3 * x² * y⁵ * z

150x⁶y⁵z    = 5² * 2 * 3 * x⁶ * y⁵ * z

66y⁹z   =   2 * 3 * 11 * y⁹ * z

GCF =  2 * 3 * y⁵ * z = 6y⁵z

B) 4x² - 40x + 100 = (2x)² - 2 * 2x * 10 + 10²

                             = (2x - 10)²

C) 81x² - 64 = (9x)² - 8²             {a² - b² = (a + b)(a - b)}

                   = (9x + 8)(9x - 8)

D) (a + b)² = a²+ 2ab + b²

E) a² - b² = (a + b)(a - b)

Answer:

Simplifying 4x2y + 12xy2 + 9y3 Reorder the terms: 12xy2 + 4x2y + 9y3 Factor out the Greatest Common Factor (GCF), 'y'. y(12xy + 4x2 + 9y2) Factor a trinomial.

Step-by-step explanation:

Subtracting Perfect Squares · (a+b)(a-b)=a2-b · Example · 4x2-9= · Subtracting Perfect Cubes · a3-b3=(a-b)( · Adding Perfect Cubes · x3+27=(x+3)(x2-3x+9).

According to the law of big numbers, a gambler who places several bets on red in the above question would lose.

There are 38 slots in all on the roulette wheel.

There are 18 black slots in all.

There are 18 total red slots.

There are two total green slots.

A $1 stake on the red slot yields a total return of $2.

The average price of the experiment hits the experiment's mean if the gambler places a substantial stake in the roulette wheel's red slots.

In this instance, the chances of the ball falling on the red or black slot are 18 ÷ 38, while the chances of the ball hitting on the green slot are 2 ÷ 38.

The average return on a $1 wager right now is 18 ÷ 38, or 94.7 cents. If he bets on a lot of red, that implies he only receives 94.7 percent of his whole wager. To further appreciate this, let's assume he plays red 1000 times, with an average of victories of

\(P_b\) = (18 ÷ 38) × 1000 = 473.68

Therefore, according to the rule of big numbers, if a gambler places a lot of bets on red in the example question, he will lose.

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Answer:

4

Step-by-step explanation:

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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The power series representation for f(x) = x/(3x^2 + 1) centered at x = 0 is: f(x) = x + x^2 + x^3 + ...

We will apply  the concept of Maclaurin series expansion.

We find derivatives of f(x):

f'(x) = (1*(3x² + 1) - x*(6x))/(3x² + 1)²

= (3x² + 1 - 6x²)/(3x² + 1)²

= (-3x² + 1)/(3x² + 1)²

f''(x) = ((-3x² + 1)*2(3x² + 1)² - (-3x² + 1)*2(6x)(3x² + 1))/(3x² + 1)\(^4\)

= (2(3x² + 1)(-3x² + 1) - 2(6x)(-3x² + 1))/(3x² + 1)\(^4\)

= (-18x\(^4\) + 8x² + 2)/(3x² + 1)³

The coefficients of the power series are:

f(0) = 0

f'(0) = 1

f''(0) = 2/1³ = 2

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + ...

f(x) = 0 + x + (2/2!)x² + ...

f(x) = x + x² + ...

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Answer:

1 strawberry for every 1 cup of water

Step-by-step explanation:

The equation of a line that is perpendicular to y=-(3)/(4)x+9 and goes through the point (6,4) is y = 4x/3 - 14/3.

Given line is y = -(3)/(4)x+9

We know that if two lines are perpendicular to each other, the product of their slopes is equal to -1.Let the required equation of the line be y = mx+c.

Therefore, the slope of the line is m.To find the slope of the given line:y = -(3)/(4)x+9

Comparing it with the general equation of a line:y = mx+c

We can say that slope of the given line is -(3/4).

Therefore, slope of the line perpendicular to the given line is: -(1/(-(3/4))) = 4/3

Let the equation of the perpendicular line be y = 4/3x+c.

Therefore, we have:4 = 4/3 * 6 + c4

= 8 + cC

= 4 - 8

= -4

Therefore, the equation of the required line is:y = 4x/3 - 14/3.

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Answer:

Answer:

Use Mixed Numbers 3/6 ÷ 4

This is the same as division with fractions.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1

-

8

The probability of landing heads exactly 11 times when a coin is tossed 20 times is option a) 0.1602

The repeated tossing of a coin follows a binomial distribution

P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ ⁻ ˣ⁾

where,

n = No. of times the experiment was repeated

x = random variable defining the number of "successes"

p = probability of "success"

Here

"succeess" is the event of landing a head.

n = 20

x = no. of times heads should show, i.e 11

p = probability of landing a head in a single toss

= 1/2

Hence, putting all this in the formula above we get

P(X = 11) = ²⁰C₁₁ 0.5¹¹ (1 - 0.5)⁽²⁰ ⁻ ¹¹⁾

= ²⁰C₁₁ 0.5¹¹ 0.5⁹

= ²⁰C₁₁ 0.5²⁰

= 20!/ 11! (20 - 11)! X 0.5²⁰

= a) 0.1602

Complete Question

An unbiased coin is tossed 20 times.

Find the probability that the coin lands heads exactly 11 times

a. 0.1602

b. 0.5731

c. 0.2941

d. 0.1527

e. 0.6374

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Thus, the volume of sphere of the diameter of  m is found as:  523.33 cu. m.

A sphere is a 3D object that is perfectly round, has a single continuous curving surface, and every point upon that surface is equidistant from the centre.

volume of a sphere V = ⁴⁄₃πr³.

Demeter = 10 m

Radius r = 10/2 = 5 m

V =  ⁴⁄₃ *3.14*(5)³.

V = 523.33

Thus, the volume of a sphere of the diameter of  m is found as:  523.33 cu. m.

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Answer:

In 11/20, 11/100, and 11/15, the numerator is 11.

In 6/11, the denominator is 11.

Answer:

-3 = -2

Step-by-step explanation:

3 (x + 1) - 6 = 5x - 2 (1 + x)

3x + 3 - 6 = 5x - 2 - 2x

3x - 3 = 5x - 2 - 2x

3x - 3 = 3x - 2

= -3 = -2

Answer:

37

Step-by-step explanation:

2+35 =37 is the answer to that one day