Use the substitution t = −x to solve the given initial-value problem on the interval (−[infinity], 0).
4x2y'' + y = 0, y(−1) = 4, y'(−1) = 2
y(x) = ____ , x < 0

Radius of the given cone is 4 units.

What is radius?

A circle's or a sphere's radius is the length of the line between the centre and the edge.

Main Body:

Volume given=

V=1/3π\(r^{2}\)h

201.06= 1/3π\(r^{2}\)(12)

Taking 201.06 as 200 as approximation is allowed.

Now solving for r ,

(200*3)/12= π\(r^{2}\)

\(r^{2}\)= 600/(12 π)

\(r^{2}\)=15.9

r=4 units

Hence the answer is 4 units.

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Answer: 129.9

Step-by-step explanation:

tan 30 = 75/x

x = 75/tan 30

x = 129.9

Answer:

1.6 kilometers

Step-by-step explanation:

Umm... sorry...

I can't think of an explanation.

I memorized the answer (because I do track and field)

Well, feel free to tell me if I did anything wrong! :)

The function "mystery" will be called 6 times if we call mystery(5), including the first call. The correct answer is B. 6.

When the function mystery(5) is initially called, it enters the recursive loop. Inside the function, it checks if the input n is less than or equal to 1. In this case, n is equal to 5, which is not less than or equal to 1. Therefore, it proceeds to call mystery(n-1).

In the subsequent call mystery(4), the same check is performed. Since 4 is also not less than or equal to 1, it calls mystery(n-1) again.

This process continues until the input value becomes 1. When mystery(1) is called, it satisfies the condition of being less than or equal to 1. Therefore, it does not make any further recursive calls.

To summarize, the function mystery will be called 6 times in total: the initial call mystery(5) and 5 subsequent calls as the input value decreases from 5 to 1.

Hence, the correct answer is B. 6.

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Answer:

Step-by-step explanation:

1) Ball hits the ground when:

Solution is t = 1 and the second solution is discarded as negative.

The ball will hit the ground after 1 second.

2) Let's assume h(t) = 5, solve for t:

No solutions as the discriminant is negative, so the ball will not reach 5 meters.

Answer:

1.  1 second.

2.  No.

Step-by-step explanation:

Given function:

\(h(t)=-5t^2+t+4\)

where:

The ball will hit the ground when the height is zero.

Substitute h = 0 into the given function and solve for t:

\(\begin{aligned}h(t)&=0\\\implies -5t^2+t+4&=0\\-1(5t^2-t-4)&=0\\5t^2-t-4&=0\\5t^2-5t+4t-4&=0\\5t(t-1)+4(t-1)&=0\\(5t+4)(t-1)&=0\\\\5t+4&=0\implies t=-0.8\\t-1&=0 \implies t=1\end{aligned}\)

As t ≥ 0, t = 1 only.

Therefore, the ball will hit the ground after 1 second after it is thrown in the air.

The x-coordinate of the vertex of a quadratic function is:

\(\boxed{x=-\dfrac{b}{2a}}\quad \textsf{when $y=ax^2+bx+c$}.\)

Therefore, the x-coordinate of the vertex of the given function is:

\(\implies t=-\dfrac{1}{2(-5)}=\dfrac{1}{10}=0.1\)

Substitute t = 0.1 into the function to find the maximum height of the ball:

\(\implies h(0.1)=-5(0.1)^2+0.1+4=4.05\)

Therefore, the ball will not reach a height of 5 m, as the maximum height it can reach is 4.05 m, and 5 > 4.05.

Answer:

domain [-1, ∞)

range [ -3, ∞)

Step-by-step explanation:

Brainliest?

Respuesta:

12 horas

Explicación paso a paso:

Dado que :

A Mar del Plata = cada 2 horas

A Necochea = cada 4 horas

A San Clemente = cada 6 horas

Número de horas que tardarán los 3 autobuses en salir al mismo tiempo, si ambos salieron ahora;

Tome el mínimo común múltiplo de los 3 autobuses:

Múltiplos de:

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

4: 4, 8, 12, 16, 20, 24, 28, 32

6: 6, 12, 18, 24, 30, 36, 42

El mínimo común múltiplo de 2 horas, 4 horas y 6 horas es 12;

Por lo tanto, los 3 autobuses saldrán a la misma hora en las próximas 12 horas:

Barbara has 6 nickels, 8 dimes and 5 quarters in her purse

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

We know that the number of dimes is three less than the sum of the numbers of nickels and quarters, so:

d = n + q - 3

2.35$ is equal to 235 cents and nickels are worth 5 cents each, dimes 10 cents each, and quarters are 25 cents each. So the values of her coins are:

5n = value of the nickels

10d = value of the dimes

25q = value of the quarters

5n + 10d + 25q = 235

Solving the equations we have:

n +d + q = 19                 (1)

d = n + q - 3                  (2)

5n + 10d + 25q = 235  (3)

By ordering the variables in the (2) equation we have:

d = n + q - 3

d - n - q = - 3

- n + d - q = -3

n      + d      + q =      19            (1)

- n    + d       - q =      -3            (2)

5n + 10d + 25q =   235            (3)

Substitute (d) for n + q - 3  in (1) and (2) equations.

n + n + q - 3 + q = 19

2n  + 2q = 22

2(n+q) = 22

n+q = 22/2

n  + q  = 11        (4)

In (2) equation:

5n + 10(n + q - 3) + 25q = 235

5n + 10n + 10q - 30 + 25q = 235

15n + 35q = 265  (5)

We now have two equations in two unknowns instead of 3 unknowns:

n +    q =   11         (4)

15n + 35q = 265  (5)

Multiply (4) equation by -15 and add:

-15n  - 15q  = -165

15n  +35q  =  265

         20q  = 100

q = 100/20

q = 5

Substitute for (q) in (4)

n + 5 = 11

n = 11-5

n = 6

Substitute (q) and (n) value in (1)

n +d + q = 19  

6 + d + 5 = 19

d = 19 - 6 - 5

d = 8

Therefore, Barbara has 6 nickels, 8 dimes and 5 quarters

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Answer: 9.16 x 10^-6

Step-by-step explanation:

you move the decimal of .00000916 until one number that is not 0 is at the front of the decimal, this makes us move the decimal 6 times which is 10^-6

Checking it:

9.16 x 10^-6 can be seen as 9.16 x .000001 which would equal .00000916

.00000916 = .00000916

Answer:

I'm pretty sure it's 6(x+8)=60

Step-by-step explanation:

Answer:

the third one or 3(x+8)

Step-by-step explanation:

60/3 = 20

Answer:

Answer: C. 26°

Step-by-step explanation:

Right triangle: a triangle in which one of the interior angles measures 90°.

This type of angle can be solved using trigonometrical functions. As the measure of the sides given are h and k, then we will use:

\(cos a=\frac{adyacent}{hypotenuse} \)

In our case, it would be:

\(cos a=\frac{h}{k} \)

Replacing the values:

\(cos a= \frac{8.1}{9} \)

Solving for a:

\(cos^{-1} (cos a)=cos^{-1}(\frac{8.1}{9} )\)

\(a= cos^{-1}(\frac{8.1}{9} )\)

a≈ 25.8 ≈26

Answer: C. 26°

Answer:

The answer is 26

Step-by-step explanation:

I had this question on a test and got it correct

The values of sin2x, cos2x and tan2x is  \(-\frac{3\sqrt{13}}{11}\), 2/11 and  \(-\frac{3\sqrt{13}}{2}\) respectively.

What is tan function?

The tan function, one of the primary six trigonometric functions, is typically expressed as tan x. It is the ratio of the angle's opposite and adjacent sides when a right-angled triangle is being considered.

Tangent is a verb that means "to touch" in Latin, from the root tangere. A circle is precisely the point at which a line tan to it intersects. In trigonometry, the tan function, a periodic function, is crucial. Utilizing the unit circle will make understanding the tangent function the simplest possible.

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Answer:

2 time s=two then minus the neighbors kids

Step-by-step explanation:

Answer:

Kane

Step-by-step explanation:

Answer:

lijah dyer

Step-by-step explanation:

L + i + j + a + h = Lijah

D + y + e + r = Dyer

equation = A + B = C

A = Lijah | B = Dyer | C = Lijah Dyer

Answer:

Step-by-step explanation:

Answer:

Take a look at the photos attached!

Step-by-step explanation:

Hope this helps, have a lovely day :)

Answer:

is it u romaan bro like wth hah  dont say my name

Step-by-step explanation:

Here are the matching pairs for the given question:

1. The smallest multiple that two or more given numbers have in common multiple

2. A number resulting from multiplying a given number by an integer solution

3. The least common multiple of two or more denominators Solve

4. The value(s) of a variable that will make an algebraic sentence true Least common denominator

5. The process for finding the solution(s) to an algebraic equation Least common multiple

1. Common Multiple - The smallest multiple that two or more given numbers have in common is known as the common multiple of those numbers.

2. Multiple - A number that results from multiplying a given number by an integer solution is known as a multiple.

3. Least Common Multiple - The least common multiple of two or more denominators is the smallest number that is a multiple of each denominator.

4. Least Common Denominator - The smallest common multiple of the denominators of two or more fractions is known as the least common denominator.

5. Least Common Multiple - The process for finding the solution(s) to an algebraic equation is known as the least common multiple.

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Answer:

3

Step-by-step explanation:

I like the number 3.

                                             Incomplete question

 The sample we collect plays a cruciThe sample we collect can significantly affect our understanding of a population,

especially when it comes to making generalizations or drawing conclusions about the entire population based on the sample data. The key aspect in this regard is whether the sample is representative of the population.

A representative sample is one that accurately reflects the characteristics, diversity, and distribution of the population from which it is drawn. When our sample is representative, we can have greater confidence in generalizing the findings from the sample to the larger population. However, if our sample is not representative, our understanding of the population may be biased or limited.

In the provided example, the given data represents different age groups and their reported time spent with friends per day. If we were to collect a sample from this population, it would be crucial to ensure that the sample includes individuals from each age group in proportion to their representation in the population. This would help ensure that our sample accurately reflects the age distribution of the population.

If our sample is not representative, it may lead to inaccurate conclusions. For instance, if we only surveyed individuals from the age group 55-64 and ignored the other age groups, our understanding of the population's time spent with friends would be limited to that specific age group. We wouldn't be able to generalize our findings to the entire population because we would have missed important variations in behavior across other age groups.

To improve the representativeness of our sample, we could use random sampling techniques, such as simple random sampling or stratified sampling, to ensure that individuals from all age groups are included in the sample. By doing so, we can enhance our understanding of the population as a whole and make more accurate inferences.

In conclusion, the sample we collect plays a crucial role in shaping our understanding of a population. A representative sample enables us to make valid generalizations and draw reliable conclusions about the entire population. It ensures that the characteristics and diversity of the population are properly reflected in the sample, allowing for more accurate insights and informed decision-making.al role in shaping our understanding of a population

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To solve this, we can use the trigonometric function tangent.

Where ol is the length of the opposite leg to angle θ and al is the anjacent leg to angle θ.

By taking the tangent of the angle whose measure equals 30°, we get:

By solving for GL and replacing 40 for LM, we get:

Then, the length of GL equals 40√3/3

A normal distribution can be described completely by its mean and standard deviation. These two parameters provide essential information about the central tendency and spread of the data in a normal distribution.

The mean represents the average or central value around which the data is symmetrically distributed, while the standard deviation measures the dispersion or variability of the data points from the mean.The normal distribution, also known as the Gaussian distribution or bell curve, is a continuous probability distribution that is widely used in statistics and various fields of study. It is characterized by its symmetric shape, where the data clusters around the mean and tapers off towards the tails. The mean (average) determines the center of the distribution, while the standard deviation quantifies the spread of the data.

By knowing the mean and standard deviation of a normal distribution, one can determine the probabilities of different events or outcomes using the cumulative probability function. The mean and standard deviation provide a comprehensive description of the distribution's shape, location, and dispersion, making them crucial parameters for understanding and analyzing data that follows a normal distribution. Therefore, the correct answer is "Mean and standard deviation."

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To answer this question, we need information about the locations of Omar, Marc, and Lily, as well as the distance between each of these locations.

Without this information, it is impossible to determine how many miles farther Marc will have to travel now than if he took the shortest route to visit Lily.

To calculate this, we need to determine the distance between the original starting point and Lily, as well as the distance between the new starting point and Lily after visiting Omar.

Then, we can subtract the shortest distance from the new, longer distance to find the difference. Please provide more information so I can better assist you. To answer this question, we need information about the locations of Omar, Marc, and Lily, as well as the distance between each of these locations.

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True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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Answer:

\(w = 13500\) --- real windscreen

\(v = 408\) --- scale volume

Step-by-step explanation:

Given

\(k = \frac{1}{10}\) --- scale factor

See attachment

Required

Complete the table

To get the windscreen (w) of the real car, we do the following computation

\(w = \frac{w_{scale}}{k^2}\)

This gives:

\(w = \frac{135}{(1/10)^2}\)

\(w = \frac{135}{1/100}\)

\(w = 13500\)

Next, the volume (v) of the scale mode

We make use of the following computation

\(v = v_{real} * k^3\)

So, we have:

\(v = 408000 * (1/10)^3\)

\(v = 408000 * 1/1000\)

\(v = 408\)

The probability that none of the shoes are black is 51.2%.

Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes.

Given twenty percent of the shoes in a factory are black,

probability of black shoes = 0.2

probability of not getting a black shoe = 1 - 0.2

probability of not getting a black shoe = 0.8

shoes selected three times and each time the shoe is replaced,

probability for each time is 0.8

for three times = 0.8 x 0.8 x 0.8

total probability = 0.512

probability in percent = 0.512 x 100 = 51.2%

Hence the probability is 51.2%

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The product of the leading digits is 10 or more, then the answer to this multiplication problem will have Seven digits.

The product of two numbers is the answer when they are multiplied. So, the product of 5 and 4 is the multiplication 5× 4 and is equal to 20.

A 3-digit number times an 3-digit number.

The largest 3-digit number = 999

The product of largest 3 digit number and 3 digit number = 999×999

= (1000-1)(1000-1)

=( 1000)² - 2000 + 1

= 1000000 - 1999

= 998001

Which is 6-digit number. So, the product of three digit number with three digit number is cannot be greater than 6-digit number .

Now, the product of 3-digit number times an 3-digit number is multiply by 10 then one more digit added to it .

So, the possible answer of this multiplication problem consists 7-digit number.

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