any of these would be helpful to know the answer to

Answer:

3.9

√15=3.87298334... so rounded to the tenth is 3.9

Do I have to multiply or something?

The surface area of a sphere with a radius of 10 feet is approximately 1,256 ft².

The surface area of a sphere refers to the total area that covers the surface of the sphere. It is the sum of all the areas of the small flat faces that make up the sphere.

To find the surface area of a sphere with a radius of 10 feet, we need to use the formula:

Surface Area = 4πr²

Where r is the radius of the sphere.

Plugging in the value of r=10 into the formula, we get:

Surface Area = 4π(10) = 400π

Since π is an irrational number, we cannot calculate its exact value. However, we can approximate it to 3.14. Therefore,

=> Surface Area = 400 * 3.14 = 1256

Rounding to the nearest whole number, we get the surface area of the sphere with a radius of 10 feet as 1,256 ft², which is option (a).

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To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.

option c is correct that if the two events are mutually exclusive than they cannot be independent.

As, we know that "mutually exclusive events are those events that do not occur at the same time".

Mutually exclusive events do not share any sample points with each other, so they cannot occur at same time. Thus, if event A and event B are mutually exclusive, they are actually inextricably dependent on each other because A's existence reduces event B's probability to zero and vice-versa.

Therefore, two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually​ exclusive, then when one of them​ occurs, the probability of the other must be zero.

Hence, option c is correct that if the two events are mutually exclusive than they cannot be independent.

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The greatest water depth is 12 feet

The least water depth is 6 feet

The positive difference is

12 - 6 = 6 feet

The answer is G

Answer:

-679

Step-by-step explanation:

14, 5, -4, ...

a = 14

d = 5 - 14 = -9

nth term = a + (n - 1) d

n(78) = 14 + (78 - 1) * -9

= 14 + 77(-9)

= 14 -693

= -679

answer

the formula is a+(n-1)d

a: the first term

d:the 2nd term -the first term

The solution of the equation x^ay! + 5xy + (4 + x)y = 0, where x > 0, can be represented as a power series of the form y = ΣCnx^n, where C0 = 1 and Cn = 0 for n = 1, 2, 3, ...

To find the solution of the equation x^ay! + 5xy + (4 + x)y = 0, we can represent the solution as a power series expansion of the form y = ΣCnx^n, where Cn is the coefficient of x^n and n ranges from 0 to infinity. Plugging the power series into the equation, we get:

x^a*(ΣCnx^nn!) + 5x*(ΣCnx^n) + (4 + x)(ΣCn*x^n) = 0

We can then collect the terms with the same powers of x:

ΣCnx^(n+a)n! + Σ5Cnx^(n+1) + Σ(4 + x)Cnx^n = 0

For the equation to hold true for all powers of x, each term with the same power of x must be zero. Therefore, we can determine the coefficients Cn for each power of x. For n = 0, the term ΣCnx^a0! simplifies to C0x^a0! = C0*x^a. Since the equation must hold for all x > 0, the coefficient C0 must be non-zero. Therefore, C0 = 1. For n = 1, the term Σ5Cnx^2 simplifies to 5C1x^2 = 0. Therefore, C1 = 0. Similarly, for n = 2, 3, 4, ... , the terms involving Cn will also be zero, as they are multiplied by powers of x. Hence, the solution of the equation x^ay! + 5xy + (4 + x)y = 0 can be represented as y = C0x^a = x^a, where a is a positive real number, and the coefficients Cn are zero for n = 1, 2, 3, ....

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Answer:

Step-by-step explanation:

I see three equations that represents the first step. All the others (I think) have flaws of one kind or another.

Third

The third one divides both sides of the equation by 3. All that remains on the left is what is inside the brackets. 24/3 becomes 8 which what equation 3 says.

x + 6 = 24/3

x + 6 = 8

Fourth

Shows how the distributive property is performed. It does this with great care. The right side is not affected.

3*x + 6*3 = 24       is what is the result. It is a good first step.

Five

This one is a little iffy. It is more like the second step. You have taken the fourth choice and removed the brackets.  If you can do this in your head, I think it counts.  I'm not sure how to answer what you should do. You're darned if you do and darned if you don't. My opinion is that it is perfectly OK but your marker may not agree.

A single-phase feeder or branch circuit conductor will have a total resistance equal to twice that of one conductor.

When referring to a single-phase circuit, we typically have two conductors: a hot (phase) conductor and a neutral conductor. These conductors carry the electrical current. Each conductor has its own resistance, but when considering the total resistance of the circuit, we need to take into account both conductors.

The resistance of a conductor is typically measured per unit length. Assuming that the two conductors in the circuit are of the same material and cross-sectional area, their individual resistances will be equal. When we calculate the total resistance of the circuit, we add the resistances of both conductors together.

Since we have two conductors in a single-phase circuit, the total resistance will be equal to twice the resistance of one conductor. This is because the resistances of both conductors are added together to determine the total resistance of the circuit.

Understanding the total resistance is important for determining voltage drop and power losses in electrical circuits, as well as for proper sizing of conductors to meet safety and electrical code requirements.

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There is a modest rise in arrival rates as compared to the prior arrival because the value is bigger than 0.05. It is a minuscule rise.

Given that,

The Message is arrive at an electronic mall server at the average

rate is 4 messages for every 5 minutes. Then the average

number of message is said to be a and mean is 4 to 5 interval.

Therefore ,we can use poission's approximation  to binomial  distribution in this case,

λ=4/5 min

( a ) Then , The Number of messages arrived in 1 hour

4x 12 = 48 . , So 48 messages per hour.

Now , our New arrival rate of messages , λ =48

By using possion's distribution ,

θ = time/rate

= 60/48= 1.25

NOW

probability density function of X is given as

f (x ) = θ e^-θx

for X>0

Given , the probability of new message arrival during given frame

equal is 0.05

p (X > x ) = 0.05

Now , of θ ∫e^-θx dx  = 0. 05 .

then, e^-θx =0.05

Apply logarithm on both sides , then

In( e^-θx) = In 0.05

By solving,

1- 25

X = 2. 39658

(b) Now , probability of arrival of 50 messages in 60 minutes

p (X>2.39658 ) = 0.05

Now arrival gap is θ = 60/50 = 1.2

P(x> 2.39658 ) =e^-θx

=e^- 1- 2 * 2.39658 = 0.0564

NOW ,

p(x>2- 39658) = 0.0564.

It is greater than 0.05 , so it is called there is slight increase in arrival rates as compared to the previous arrival. It is very small increase .

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Answer:

Step-by-step explanation:

are the what???

Answer:

2a(3a + 8)

Step-by-step explanation:

Combine like terms

6a2 + 15 + a

6a2 + 16a

Step-by-step explanation:

Parallel lines have the same slope.

\(x + 2y = 2 \\ 2y = x - 2 \\ y = 0.5x - 1\)

\(y = mx + b \\ m \: is \: the \: slope \: so \: te \: slope \: is \: \frac{1}{2} \)

Answer:

She has to ride for 52 minutes!

Step-by-step explanation:

50/8=6.25

325/6.25=52

6.25*52=325

Answer:

52 minutes

Step-by-step explanation:

50/8=6.25

325/6.25=52

6.25*52=325

According to the statement the distance from the plane to the top of the larger sphere is 3 + 2 = 5 units.

The distance from the plane to the top of the larger sphere can be found by considering the arrangement of the spheres.

We have three smaller spheres of radius 1 that are mutually tangent to each other and the plane.

On top of them, there is a larger sphere of radius 2.
Let's denote the distance from the plane to the center of the larger sphere as h.

Since the spheres are tangent to each other, the distance from the plane to the top of the larger sphere will be equal to the sum of the radii of the smaller spheres (3 x 1 = 3) plus the radius of the larger sphere (2).
Therefore, the distance from the plane to the top of the larger sphere is 3 + 2 = 5 units.

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Story:

There is a tank that can fill 4 liters of water. The 2/3 of the tank has been filled with water. How much liters have the tank filled with water?

Solution of story:

We know that:

Multiply both the terms to get the answer.

Solution:

Hence, 2 2/3 liters has been filled with water.

Hoped this helped.

A. person can do 2/3 of work a day how many times can he do that work in 4days?

Solution:-

Just multiply numerator with numerator and denominator with denominator.

\(\\ \tt\hookrightarrow 4\times \dfrac{2}{3}\)

\(\\ \tt\hookrightarrow \dfrac{4(2)}{3}\)

\(\\ \tt\hookrightarrow \dfrac{8}{3}\)

\(\\ \tt\hookrightarrow 2\dfrac{2}{3}\)

The area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

In this question:

Area right to the right of the z = 2.12

Using a TI-83 Plus/TI-84 Plus calculator,

P(Z> 2.12)

= P(Z<-2.12)

= 0.0170

Therefore the area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

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Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.

According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.

In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:

Small effect: d = 0.2

Medium effect: d = 0.5

Large effect: d = 0.8

Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.

Therefore, the correct answer is a. small.

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the second one is the answer <i think>

\(\\ \tt\hookrightarrow (f+g)(x)\)

\(\\ \tt\hookrightarrow f(x)+g(x)\)

\(\\ \tt\hookrightarrow 4x^2-5x+3x^2+6x-4\)

\(\\ \tt\hookrightarrow 7x^2+x-4\)

Option B is correct

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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After scoring 77, 87, and 74 on her previous three tests, Amy needs to score 66 on her next test in order to have an average of 76.

To find the score that Amy needs on her next test to have an average of 76, we need to use the formula for the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)

We know that Amy's current scores are 77, 87, and 74, and we want her average to be 76. Let's call the score she needs on her next test "x".
So, we can plug these values into the formula:
76 = (77 + 87 + 74 + x) / 4

Now, we just need to solve for x:
76 * 4 = 77 + 87 + 74 + x
304 = 238 + x
x = 304 - 238
x = 66

So, Amy needs to score a 66 on her next test in order to have an average of 76.

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Answer:

\(=\frac{3x}{20}\)

Step-by-step explanation:

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \:a\cdot \frac{b}{c}\cdot \frac{d}{e}=\frac{a\:\cdot \:b\:\cdot \:d}{c\:\cdot \:e}\)

\(=\frac{3x\cdot \:2}{8\cdot \:5}\)

\(=\frac{3x}{4\cdot \:5}\)

\(\mathrm{Multiply\:the\:numbers:}\:4\cdot \:5=20\)

\(=\frac{3x}{20}\)

Answer:

Do you mean 3/8 times 2/5? It equals 3/20

Step-by-step explanation:

So multiple the top numbers together for the top result and multiple bottom numbers for bottom result. 3 times 2 equal 6, 8 times 5 equal 40. the result is 6 over 40. After simplifying, we have 3 over 20 (dividing both 6 and 40 by 2)

Answer:

a) 5 m

b) 8 m

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

where a and b are the legs and c is the hypotenuse of a right triangle

a) Given:

⇒ 3² + 4² = c²

⇒ 9 + 16 = c²

⇒ 25 = c²

⇒ c = √(25)

⇒ c = 5 m

b) Given:

⇒ 6² + b² = 10²

⇒ 36 + b² = 100

⇒ b² = 100 - 36

⇒ b² = 64

⇒ b = √(64)

⇒ b = 8 m

Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

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The the expression is in the required form. Thus, A = 211, B = 1, and C = 1. We use the properties of logarithms to rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient, or power. is in the required form. Thus, A = 211, B = 1, and C = 1. We use the properties of logarithms to rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient, or power.

To rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient or power using the laws of logarithms; it is best to express it in exponential form and then separate it into logarithms.21619 log 211Let's express this expression in exponential form.

We know that log a b = c if a = b.

Using this property, we can write,

\(21619 log 211 = 211^(21619)\)

Now let's separate this exponential expression into logarithms.

\(z1y19 log A log(z)+ Blog(y) + Clog(z) 211\)

Now, we have the value of

\(211^(21619)\)

so we can substitute this value in the above expression to get,

\(z1y19 log A log(z)+ Blog(y) + Clog(z) 211z1y19 log A + log(z^z1y19) + Blog(y) + log(z^C) 211\)

Now we use the property that

log a^n = nlog a to split the logs into their coefficients.

\(z1y19 log A + z1y19 log(z) + Blog(y) + Clog(z).\)

Now, the expression is in the required form. Thus, A = 211, B = 1, and C = 1. We use the properties of logarithms to rewrite the expression 21619 log 211 in a form with no logarithm of a product, quotient, or power.

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The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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Answer:

  2

Step-by-step explanation:

Corresponding sides are proportional in these similar triangles.

__

  short side/long side = k/4 = 4/8

  k = 4(4/8) . . . . multiply by 4

  k = 2

_____

Additional comment

The lengths of the hypotenuses can be found the same way, or using the Pythagorean theorem. Using side ratios, we have ...

  l² = k(k+8) = 2(10) = 20 . . . . from MN/MO = ML/MN

  l = 2√5

  m² = 8(8+2) = 80 . . . . from LN/LO = LM/LN

  m = 4√5

The similarity statements are ...

  ΔLMN ~ ΔLNO ~ ΔNMO