How many dominos are needed to complete the triangle?

Answer:  The correct answer is 83

Step-by-step explanation:

Complete the equations within each set of brackets

(71+9+3)-(9-11+2)

71+9+3 = 83

9-11+2 = 0

Subtract the results

83 - 0 = 83

The largest interval I over which the solution is defined is:

I = (9 - ∞, 9 + ∞)

To solve the given initial-value problem, we need to rearrange the equation and separate the variables. The equation can be rearranged as follows:

y dx = (3y^2 + x) dy

Next, we need to separate the variables and integrate both sides of the equation:

∫y dx = ∫(3y^2 + x) dy

∫y dx = y^3 + xy + C

Now, we can use the initial condition x(9) = 1 to solve for C:

1 = 9^3 + 9(1) + C

C = -729

Therefore, the solution to the initial-value problem is:

y^3 + xy = 729

To find the largest interval I over which the solution is defined, we need to determine the values of x and y that make the equation true. Since the equation is a cubic equation, there are potentially three solutions for y. However, since we are looking for the largest interval, we only need to find the smallest and largest values of y that satisfy the equation. These values will be the endpoints of the interval I.

The smallest value of y occurs when x is at its largest value, which is infinity. Plugging in x = ∞ and solving for y gives us:

y^3 + ∞y = 729

y^3 = 729 - ∞y

y = 729^(1/3) - ∞^(1/3)

y = 9 - ∞

The largest value of y occurs when x is at its smallest value, which is negative infinity. Plugging in x = -∞ and solving for y gives us:

y^3 - ∞y = 729

y^3 = 729 + ∞y

y = 729^(1/3) + ∞^(1/3)

y = 9 + ∞

Therefore, the largest interval I over which the solution is defined is:

I = (9 - ∞, 9 + ∞)

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Answer:

Mean A=7

median B=3/4 .75

Answer:

Step-by-step explanation:

mean = sum of data / no of data

= 4+7+5+9+11+6 /6

=42 / 6

=7

mean = 7

to find median arrange the data from ascending to descending order

Data = 3,4,6,8,10,12

median = (N +1) /      (N means no of data)

=(6 +1) / 2

=7/2

=3.5

= 3 rd term + 4 th term / 2

=6 + 8 / 2

=14 / 2

=7

median = 7

Answer:

x = 0 and y = -2

Step-by-step explanation:

x - 2y = 4 and X - 1y = 2

you mentioned elemination aka substraction

so you when substract x - x =  0  -2y -( -y) = -y and 4 -2 = 2

so - y = 2

or y = 2

now substitute the numbers

x + 4 = 4

x = 0

and try it with one of the equation  or sometimes trying on both of them can be very helpful

When n is large, the expected number of unique samples from the original set of n samples in the bootstrapped sample would be infinite.

When bootstrap sampling is performed, each time a sample is drawn with replacement, there is a possibility of duplicating samples from the original set. To determine the expected number of unique samples in the bootstrapped sample, we can consider the probability of selecting a unique sample at each draw.

In the first draw, the probability of selecting a unique sample is 1 (since all samples are unique initially). In the second draw, the probability of selecting a new unique sample is (n-1)/n, as there is one less unique sample available out of the total n samples. Similarly, in the third draw, the probability becomes (n-2)/n, and so on.

Since each draw is independent and the probability of selecting a unique sample remains the same for each draw, we can calculate the expected number of unique samples by summing up these probabilities.

The expected number of unique samples in the bootstrapped sample can be calculated as:

E(unique samples) = 1 + (n-1)/n + (n-2)/n + ... + 1/n

This can be simplified using the arithmetic series formula:

E(unique samples) = n × (1 + 1/2 + 1/3 + ... + 1/n)

As n becomes large, this sum approaches the harmonic series, which diverges. The harmonic series grows logarithmically with n, so the expected number of unique samples in the bootstrapped sample would approach infinity as n increases.

Therefore, when n is large, the expected number of unique samples from the original set of n samples in the bootstrapped sample would be infinite.

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The probability that a 3 will get any given times the dies is rolled is 0.17x

Total number of outcomes in one roll = 6

The favorable outcome = 3

The probability = Number of favorable outcomes / Total number of outcomes

Substitute the values in the equation

The probability of getting 3 in first roll= 1 / 6

Total number of times the die rolled = 11 times

The probability of getting 3 in all given times = (The probability of getting 3 in first roll )^ (Number of times the die rolled)

Consider the number of rolls as x

Substitute the values in the equation

The probability of getting 3 in all the given times = (1/6)^x

= 0.17x

Hence, the probability that a 3 will get any given times the dies is rolled is 0.17x

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Answer:

0.00108754758 If 4/3678 and 919.5 if 3678/4

Step-by-step explanation:

Answer:

Answer: 2/1839

Step-by-step explanation:

4 ÷ 3678 = 0.00108754758 or 2/1839

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{12}~,~\stackrel{y_2}{-4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 12 +4}{2}~~~ ,~~~ \cfrac{ -4 +9}{2} \right) \implies \left(\cfrac{ 16 }{2}~~~ ,~~~ \cfrac{ 5 }{2} \right)\implies \left( 8~~,~~2\frac{1}{2} \right)\)

If 180 liters of fluid enter the kidneys each day, about 178 liters of fluid will be reabsorbed by the kidneys each day.

The kidneys play a crucial role in filtering and regulating fluid balance in the body. On average, approximately 180 liters of fluid enter the kidneys each day through the process of filtration. However, not all of this fluid is excreted as urine. The majority of it, around 99%, is reabsorbed back into the bloodstream.

The reabsorption process occurs in the renal tubules, where essential substances such as water, electrolytes, and nutrients are selectively transported back into the bloodstream while waste products and excess substances are removed for eventual excretion.

Therefore, out of the initial 180 liters that enter the kidneys, around 178 liters are reabsorbed, leaving only a small amount (approximately 2 liters) to be excreted as urine.

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Answer: 6.32 units

Step-by-step explanation: You count the distance and get 6.32 units.

Answer:

-5

Step-by-step explanation:

-5--20

=-5+20

=20-5

=15

Answer:

Step-by-step explanation:

Look at the File I attached. The Question says that a car travels 76 km north then 25 km east. Now think of this as the Right angled triangle I attached in the file.

a) Bearing from the staring point to the means the degrees of the part i marked with a question mark.

Now SOH CAH TOA

76 km is the ADJACENT

25 km is the OPPOSITE

and x is the HYPOTENUSE

We have the values of the ADJACENT and the OPPOSITE.

Now see which rule has both, It is TOA(tan rule) which is:

tan(y) = OPPOSITE/ADJACENT     (y is the degrees we will get)

tan(y) = 25/76  ( opposite of the degree we need is 25 and adjacent is 76)

tan inverse(25/76) = y  (inverse will be given as to the power -1 on the calculator)

FINAL ANSWER OF (a) = 18.21°

b) This part is asking for the length of the hypotenuse, which i denoted as x in the attached file.

For this part, you will use the Pythagoras Theorem

Which is :

   a² + b² = c²

Where c is the hypotenuse and a and b are the opposite and adjacent.

So

    76² + 25² = x²

     6401 = x²

  √6401 = x

     x = 80.01

Answer:

2 Gallons.

Step-by-step explanation:

If 8 gallons are lost in one hour, then 4 will be lost in 30 minutes. Half of thirty minutes is 15 minutes, and half of 4 is 2.

The perimeter of a triangle is the sum of its side lengths.

The perimeter of the triangle is: \(14d + 7f +7\)

The sides of the triangle are:

Side 1 = (8d - 3) cm

Side 2 = (6d + 2) cm

Side 3 = (7f + 8) cm

The perimeter (P) is calculated as:

P = Side 1 + Side 2 + Side 3

So, we have:

\(P = (8d - 3) + (6d + 2) + (7f + 8)\)

Remove brackets

\(P = 8d - 3 + 6d + 2 + 7f + 8\)

Collect like terms

\(P = 8d + 6d + 7f - 3 + 2 + 8\)

\(P = 14d + 7f +7\)

Hence, the perimeter of the triangle is: \(14d + 7f +7\)

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The midpoint of points Q(9.3) and R(1,1) will be M(5,2).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the two endpoints of QR are Q(9.3) and R(1,1). The midpoint will be calculated as,

Midpoint = [x₁ + x₂]/2 , [y₁ + y₂] / 2

Midpoint = [(9 + 1 ) /2 , ( 3 + 1 ) / 2

Midpoint = 5, 2

M is the midpoint of points Q(9.3) and R(1,1) (5,2).

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Answer:

sorry dont know the answer im new to this website

Step-by-step explanation:

Answer:

1.x=11

2.x=+5=+2.2362

3.x=+3.750=+1.93649

Answer:

Yes, Lin is correct.

Step-by-step explanation:

23 is a prime number because it has only two distinct divisors: 1 and itself (23).

Answer:

see explanation

Step-by-step explanation:

To find the missing side, subtract the sum of the 2 given sides from the perimeter.

(11)

6x + 6y - (2x + y + x + 2y)

= 6x + 6y - (3x + 3y)

= 6x + 6y - 3x - 3y ← collect like terms

= 3x + 3y ← missing side

(12)

11x + 2y - (2x + 3y + 6x - 5y)

= 11x + 2y - (8x - 2y)

= 11x + 2y - 8x + 2y ← collect like terms

= 3x + 4y ← missing side

The sum of the equation  (4d + e + 2) + (d + 3e - 4) is option (D) 5d + 4e - 2.

what is sum?

In mathematics, the term "sum" refers to the result of adding two or more numbers together. It is also commonly used to refer to the process of performing addition.

what is equation?

In mathematics, an equation is a statement that indicates that two expressions are equal. Equations typically contain variables, which are placeholders for unknown values, as well as constants and operations such as addition, subtraction, multiplication, and division.

In the given question,

To find the sum of (4d + e + 2) + (d + 3e - 4), we simply need to add the corresponding coefficients of d, e, and the constant terms:

(4d + e + 2) + (d + 3e - 4) = (4d + d) + (e + 3e) + (2 - 4)

Simplifying this expression, we get:

= 5d + 4e - 2

Therefore, the sum of (4d + e + 2) + (d + 3e - 4) is option (D) 5d + 4e - 2.

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Answer:

NO

Step-by-step explanation:

Answer:

Actually it is. Think of it as a standard math. It is not at all hard. AP MAth is very hard because it's a ton of stuff and a whole bunch of maybe even college assignments. I would know because i  was one in honors but now in AP. Trust me when i ay that i fool around in clas and still get an A.

Step-by-step explanation:

Answer: 33.375 feet

Step-by-step explanation:

To find the maximum height, we need to find the vertex of the parabolic function h = 16t² + 12t + 30.

The vertex of a parabola with equation y = ax^2 + bx + c is located at x = -b/2a and y = c - b^2/4a.

In this case, a = 16, b = 12, and c = 30.

So,

t = -b/2a = -12/(2*16) = -3/8

h = 16(-3/8)² + 12(-3/8) + 30 = 33.375

Therefore, the maximum height reached is 33.375 feet.

Answer:

C) x=y

hope it helps.

Their present age are:

Vikas 's age = 15 years, Mother's age = 42 years  and

Grandmother's age = 64 years.

Let that present age of Vikash is x yrs.

So, his Mother's age= (x+27) yrs

Grandmother's age = (x+27+22) i.e., (x+49) yrs.

According to question,

   x+ (x+27)+ (x+49) = 121

⇒ 3x+ 76 = 121

⇒ 3x = 121-76

⇒ x= 45/3

⇒ x = 15

Therefore,

x = 15

Which means the age of Vikas is 15 years.

Now

So, mother's age will be = 15+27

                                        = 42 years.

And,

Grandmother's age = 15+49

                                = 64 years.

Hence, age of Vikash, his Mother and his Grandmother are 15 yrs, 42 yrs, and 64 yrs respectively.

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Answer:

It's 14

Step-by-step explanation:

k(-1)=6(-1)+8=-6+8=2

h(k(-1))=>h(2)=4+5(2)=4+10=14

Answer:

14

Step-by-step explanation:

Evaluate k(- 1) then substitute the value obtained into h(x)

k(- 1) = 6(- 1) + 8 = - 6 + 8 = 2 , then

h(2) = 2² + 5(2) = 4 + 10 = 14

Answer:

Step-by-step explanation:

step 1 : finding the area of a floor using trapezius area formula

A= \(\frac{(10+14)*6}{2} = \frac{24*6}{2} =72 m^{2} \\\)

step 2 : the problem said 1 litre of paint convers an area of 2.5 m^2, so let's calculate how many liters of paint are needed to paint the floor

\(\frac{72 m^2}{2.5 m^2} = 28.8 litre\\\)

so we need 28.8 litre to paint the floor

step 3 : Each tin is 5 litre of paint so let's calculate how many tins do we need

n=\(\frac{28.8}{5} = 5.76 \\\)

we can't by 5.76 tins so it's 6 tins

step 4 : Each tin costs 21.99 and now we calculate how much 6 tins cost for us

cost = 6 × 21.99 = 131.94

step 5 : Gary has a budget of 150 and the total cost is 131.94. So, Gary has enough money to buy all the paint he needs.

There are no vectors among the options provided that are parallel to (1²2).

To determine if two vectors are parallel, we can compare their direction ratios.

Two vectors are parallel if their direction ratios are proportional.

Let's compare the given vector (1²2) with each of the options provided:

Vector (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​:

Comparing the direction ratios, we have:

1/7 = 2/12 = 2/-22 = 3/4 = 24/3 = 12/13.

Since the direction ratios of the given vector (1²2) are not proportional to the direction ratios of any of the options, none of the options are parallel to (1²2).

summary, none of the vectors (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​ are parallel to the given vector (1²2).

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The probability that neither card shows with and without replacement is 0.89 and 0.81, respectively.

The deck of 20 cards can be used to play a board game. Two cards are picked at random from this deck. We want to determine the probability that neither card shows, both with and without replacement. we can utilize the formula : P(E) = (n - r) / (n - 1)P(E) = (18/20) * (17/19)P(E) = 0.89 Calculation with replacement To determine the probability that neither card shows when two cards are drawn with replacement, we can use the following formula :P(E) = P(E1) x P(E2)P(E) = (18/20) * (18/20)P(E) = 0.81 Therefore, the probability that neither card shows with and without replacement is 0.89 and 0.81, respectively.

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Answer:

x=14

Step-by-step explanation:

Hey There!

vertical angles are congruent so

5x-10=60

now we can solve for x

step 1 add 10 to each side

-10+10 cancels out

60+10=70

now we have

5x=70

step 2 divide each side by 5

70/5=14

we're left with x=14

~TheMathWiz