PLS HELP ASAP
List all of the possible outcomes of head and tails when you toss four coins at the same time.

Answer:

W = 16

L = 24

Step-by-step explanation:

Let's write down the information we have first

"The length of a rectangle is 8 feet longer than it is wide"

L = W + 8

"If each side is increased 8 feet, then the area is multiplied by 2."

(L + 8)(W + 8) = 2LW

Now we can solve for W first, then L

(W + 16)(W + 8) = 2W(W + 8)

W² + 24W + 128 = 2W² + 16W

0 = W²- 8W - 128

0 = (W - 16)(W + 8)

W = 16

L = 24

(This part above is solved like quadratics)

Answer:

A

Step-by-step explanation:

The given iterated integral represents the volume of a solid bounded by the xy-plane, the surface z = 5 - x - y, and the cylinder \(x^2 + y^2 = 4\). The integral can be rewritten in the order dx dy dz.

The integral ∫∫∫\(2 0 4 - x^2 0 5 - x - y\)dz dy dx represents the volume of a solid bounded by the xy-plane (z = 0), the surface z = 5 - x - y, and the cylinder \(x^2 + y^2 = 4\). To visualize this solid, imagine a cylinder of radius 2 centered on the z-axis, with a plane sloping downward from the top of the cylinder at a rate of 1 unit of z for every unit of x or y. This plane intersects the cylinder at the points (2, 0, 3), (0, 2, 3), (-2, 0, 3), and (0, -2, 3). The solid is formed by the region of space below this plane and above the xy-plane, between the cylinder and the plane.

To rewrite the integral in the order dx dy dz, we integrate first with respect to x, then y, and then z. The limits of integration for x are from 0 to 2 - √(4 - \(y^2\)), the limits for y are from 0 to 2, and the limits for z are from 0 to 5 - x - y. This gives us the integral ∫0^2 ∫0^2-y/2  ∫0^(5-x-y) dz dy dx. The order of integration is important because it determines the order in which we integrate over the variables and the limits of integration, and can affect the complexity of the integral.

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Answer:

the number of sides is 12

Step-by-step explanation:

The computation of the number of sides in the polygon is shown below:

As we know that

S_n = n ÷ 2 (a_1 + a_n)

= n ÷ 2 × (128 + 172)

= 150 n

Now given that the sum of the measures = 180 (n - 2)

So,

Sn = 180 (n - 2)

150n = 180n - 360

30n = 360

n = 12

Hence, the number of sides is 12

The indefinite integral is: (t^2)i + (t)j + (3t)k + C

To find the indefinite integral of the given vector function (2ti + j + 3k) with respect to t, we need to integrate each component separately.

Step 1: Integrate the i-component with respect to t:
∫(2t) dt = t^2 + C1

Step 2: Integrate the j-component with respect to t:
∫(1) dt = t + C2

Step 3: Integrate the k-component with respect to t:
∫(3) dt = 3t + C3

Now, combine the integrated components and the constants of integration (C1, C2, C3) to form the final result:

Your answer: (t^2)i + (t)j + (3t)k + C

Here, C = (C1)i + (C2)j + (C3)k is the constant of integration in vector form.

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Using Tap working problem solving,

when faucet and drain working together, the time to fill up the tub is 60 minutes.

We have the following information about question,

The time taken by faucet to fill up the tub

= 15 minutes

The time taken by drain to empty the tub

= 20 minutes

we have to calculate the time in which the tub is fully fill the tube with drain open.

Rate of fill up the tub by faucet = 1/15 i.e 1/15 th of tub in one minute .

Rate of empty the tub by drain = 1/20 i.e 1/20 th of tub in one minute.

In one minute both are working together and will fill the tub = 1/15 - 1/20 = 1/60 i.e 1/60 th of tub

Since, it takes one minute to fill 1/60th of the tub and it will take 60 minutes to fill the tub.

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The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

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Answer:

17359.63

Step-by-step explanation:

(0+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

(ans+500)x1.05

=17359.63

(A) The formula for the nth partial sum, Sₘₑ, of the telescoping series (vₙ₊₁ - vₘ) is Sₘₑ = vₙ₊₁ - vₘ, (b) Using the formula from part (a), we can see that the series E(vₙ₊₁ - vₙ) telescopes to S = vₙ₊₁ - v₁.

(a) To find the formula for the nth partial sum, we need to write out a few terms of the series and look for a pattern. The telescoping series (vₙ₊₁ - vₘ) has the property that most of the terms cancel out when we take partial sums. For example, if we take the partial sum from m = 1 to n = 4, we have:

S₄ = (v₅ - v₁) + (v₆ - v₂) + (v₇ - v₃) + (v₈ - v₄)

= v₅ - v₁ + v₆ - v₂ + v₇ - v₃ + v₈ - v₄

Notice that most of the terms cancel out, leaving us with just v₅ and -v₁. In general, when we take the partial sum from m = 1 to n, all the terms from vₘ₊₁ to vₙ cancel out, leaving us with:

Sₙ = (vₙ₊₁ - v₁) + (vₙ₊₂ - v₂) + ... + (vₙ - vₙ₋₁) + (vₙ₊₁ - vₙ)

= vₙ₊₁ - v₁

b) To determine if the series E(vₙ₊₁ - vₙ) converges or diverges, we need to find the limit of S as n approaches infinity. From part (a), we know that S = vₙ₊₁ - v₁, so we need to find the limit of vₙ₊₁ - v₁ as n approaches infinity. If this limit exists and is finite, then the series converges. If the limit does not exist or is infinite, then the series diverges.

To find the limit, we need to examine the behavior of vₙ₊₁ and v₁ as n approaches infinity. If vₙ₊₁ approaches a finite value and v₁ approaches a finite value, then their difference (vₙ₊₁ - v₁) will approach a finite value as well. However, if either vₙ₊₁ or v₁ approaches infinity or negative infinity, then their difference will also approach infinity or negative infinity, respectively, and the series will diverge.

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Answer:

The inequality is x <  24.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

6/pi isn't greater than 2

Step-by-step explanation:

for the inequality to be true 6 would have to be divided by something less than 3 because 6/3 is two. And we know that pi is greater than 3 and we also know that the more the denominator increases, the less value the fraction has, so 6/pi is actually less than 2, its around 1.91

The total combination of 3-coin is 4 if there are a total number of coins is 4 option third is correct.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Number of coin need to select = 3

Total number of coins = 4 (pennies, nickels, dimes, and quarters)

We can apply the combination formula to find the number of combination:

Total number of combination = C(4, 3)

\(= \dfrac{4!}{(4-3)!3!}\)

= 4

Thus, the total combination of 3-coin is 4 if there are a total number of coins is 4 option third is correct.

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2x +12=-4

2x= -4-12

2x=-16

x=-16/2

x= -8

Step-by-step explanation:

2x+12=-4

2x=-4-12

x=-16/2

x=-8

hope this helps you

have a good day.

Answer:

-313

Step-by-step explanation:

a1=2; d=-5

a64=2-5(64-1)=-313

The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The arithmetic sequence;

⇒ 2 , -3 , -8 ...

Now,

The general equation for nth term of the arithmetic sequence is,

\(T_{n} = a + (n - 1) d\)

Where, The term 'a' represent the first term.

And, 'd' represent the difference between each consecutive numbers.

Here, In the arithmetic sequence 2 , -3, -8;

The first term = 2

The difference = -3 - (2) = - 5

So, To find the 64th term of the arithmetic sequence, we can substitute

n = 64 and a = 2 and d = -5 in above formula as;

\(T_{n} = a + (n - 1) d\)

\(T_{64} = 2 + (64 - 1) (-5)\)

\(T_{64} = 2 + (63 * -5)\)

\(T_{64} = 2 - 315\)

\(T_{64} = -313\)

Thus, The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.

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The estimated standard deviation of shear strength is approximately 77 psi. Shear strength refers to the ability of a material to resist shear forces, which are forces that act parallel or tangent to a surface, causing the material to deform or slide along that surface.

Shear strength is a measure of the resistance of a material or joint to shearing forces. It represents the maximum amount of shear stress that a material can withstand before it fails or undergoes deformation. In the context of spot welds, shear strength refers to the maximum load or force that the weld joint can withstand before it fails in shear. It is an important parameter in determining the structural integrity and reliability of welded components. Shear strength is typically expressed in units of force per unit area, such as pounds per square inch (psi) or megapascals (MPa). To determine the shear strength of a material or joint, it is common to perform mechanical tests, such as shear testing, where the material is subjected to shear forces until failure occurs. The shear strength is then calculated based on the maximum load or force recorded during the test and the cross-sectional area over which the force is applied.

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Answer:

-3

Step-by-step explanation:

5(y+2/5)=-13

5*y+5*2/5=-3

5y+2=-13

5y=-13-2

5y=-15

5y/5=-15/5

y=-3

Answer:

y = -3

Step-by-step explanation:

Now we have to,

→ Find the required value of y.

The equation is,

→ 5(y + (2/5)) = -13

Then the value of y will be,

→ 5(y + (2/5)) = -13

→ 5(y) + 5(2/5) = -13

→ 5y + (10/5) = -13

→ 5y + 2 = -13

→ 5y = -13 - 2

→ 5y = -15

→ y = (-15)/5

→ [ y = -3 ]

Hence, the value of y is -3.

Answer:

just add up all the squares. answer is 55

Step-by-step explanation:

x=14 in is the smaller part of lumber

55-x=55-14=41 in is the larger  part of lumber

Linear equations are described for strains withinside the coordinate system. If an equation has  homogeneous variables of diploma 1 (that is, best one variable), the equation is stated to be a linear equation in a single variable. A linear equation may have more than one variables. When linear equations have  variables, they may be known as bivariate linear equations.

Examples of linear equations are 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x - y + z = 3. This article gives definitions of linear equations, preferred types of linear equations in a single, , and 3 variables,  and  examples of them with complete explanations.

Let x=the smaller part

Then 55-x=the larger part

Now we are told the following:

2(55-x)=5x+12 simplify

110-2x=5x+12 add 2x to and subtract 12 from each side

110-2x+2x-12=5x+2x+12-12 collect like terms

98=7x

x=14 in--------------------smaller part

55-x=55-14=41 in-----------larger part

CK

2 times larger part=2*41=82 in

5 times smaller part=5*14=70 in

70+12=82

82=82

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Answer:

18 is it

Step-by-step explanation:

The sampling distribution of p, is less than 10% of the population size (N=30,000) and the condition np(1 - p) is greater than 10. This means that of the sampling distribution can be approximated by a normal distribution.

Here, we have,

The mean of the sampling distribution of p is equal to the population proportion, which in this case is p=0.6.

The standard deviation of the sampling distribution of p, denoted as σp, can be calculated using the formula σp = √(p(1 - p)/n). Plugging in the values, we get σp = √(0.6(1 - 0.6)/50) ≈ 0.080.

To calculate the probability of obtaining x=33 or more individuals with the characteristic, we need to calculate the probability of obtaining a sample proportion of 0.66 or more. We can use the standard normal distribution table to find this probability.

Similarly, to calculate the probability of obtaining x=28 or fewer individuals with the characteristic, we need to calculate the probability of obtaining a sample proportion of 0.56 or less. Again, we can use the standard normal distribution table to find this probability.

Please note that the specific values obtained from the standard normal distribution table depend on the table used and the level of precision required for the calculations.

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Answer:

B and E

Step-by-step explanation:

edge 2021 (??)

What steps would you take to determine if these figures are similar? Check all that apply.

Use a scale factor of 2.

Multiply the vertices of polygon ABCD by One-half.

Translate the intermediate image 4 units down. - CORRECT

Perform two different dilations.

Reflect the intermediate image. - CORRECT

Multiple triangles would be formed by the combination of 2 cm, 8 cm, and 10 cm.

To have a triangle, three sides of a polygon must be present. Additionally, each side must be less than the total of the other two sides added together to form a triangle.

Consider the following choices as a result:

A: 45 degrees, 82 degrees, 53 degrees.

We don't know the size of the triangle's sides, thus we can't say if it's going to create multiple triangles

.B: 5 degrees, 122 degrees, 61 degrees

This set of degrees won't result in a triangle because the angles add up to 188 degrees, which is greater than 180 degrees, the sum of the interior angles of a triangle.

C: 2 cm, 8 cm, 10 cm

The sum of 2 cm + 8 cm = 10 cm.

As a result, it is impossible for a triangle to be formed since 2 + 8 < 10.D: 10 in, 20 in, 75 degreesTwo sides of the triangle are known, however the angle between them is unknown, therefore it is impossible to tell if multiple triangles will form.

Option C is the only choice that would result in multiple triangles. The side lengths of a triangle are 2 cm, 8 cm, and 10 cm. It is impossible to form a triangle with 2 cm and 8 cm because they are too short to form a triangle, however if you switch the values and compare 8 cm and 10 cm, a triangle is formed.

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Answer:

9 , 15

Step-by-step explanation:

HCF = 3

LCM = 45

Product of two numbers = HCF * LCM

                                        = 3*45

                                       = 135

The two numbers are the factors of 135

9 * 15 = 135

9 = 3*3

15 = 3 * 5

HCF = 3

LCM = 3* 3 * 5 = 45

Hey there!

2x + 8y = 20

2x + 8(2) = 20

2x + 16 = 20

SUBTRACT 16 to BOTH SIDES

2x + 16 - 16 = 20 - 16

CANCEL out: 16 - 16 because it give you 0

KEEP: 20 - 16 because it help solve for the x-value

NEW EQUATION: 2x = 20 - 16

SIMPLIFY IT!

2x = 4

DIVIDE 2 to BOTH SIDES

2x/2 = 4/2

CANCEL out: 2/2 because it give you 1

KEEP: 4/2 because it give you the x-value

NEW EQUATION: x = 4/2

SIMPLIFY IT!

x = 2

Therefore, your answer is: x = 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

2121 Items

Step-by-step explanation:

Multiply 303 by 7 To get the answer 2121.

Answer:

43 rows & 2 left over

Step-by-step explanation:

So first, we have to do long division for 303 by 7.

303 ÷ 7 = 43 R 2

So you have 43 rows and 2 left over.

Hope this helped! :)

Answer:

4.21, 4.22, 4.23,

4.24 (choose any one)

Step-by-step explanation:

since 4 1/5 is 4.20, so the numbers in between 4.20 and 4.25 are 4.21, 4.22, 4.23,

4.24 (choose any one)

To determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).

Rate of Change:

A rate of change describes how an output quantity changes relative to the change in the input quantity. The units on a rate of change are “output units per input units.”

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

\(\frac{\triangle y}{\triangle x} = \frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1}}\)

How to determine:

Given the value of a function at different points, calculate the average rate of change of a function for the interval between two values \(x_{1}\) and \(x_{2}\).

Hence the answer is to determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).

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