Hep need please and thanks

Answer:

(1) 1 and 7

Step-by-step explanation:

Hello!

We can solve by isolating the variable.

There are two solutions, 1 and 7.

The answer is option 1: x = 7, x = 1.

The correct option is (1) less than 10 times the original distance.The original distance was  30 cm and the new distance is 94.86 cm which is less than 10 times the original.

The force of attraction and repulsion among two charged bodies are directly proportional to a product of their charges but inversely proportional to a square of a distance between them, according to Coulomb's law.

It works along the line that connects the two charges that are called point charges.

The formula for Coulomb's law is-

\(f_{}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{}^{2}}\)

where, q₁ and q₂ are the charges;

d is the distance between them.

Now, according to the question;

Two charges that were initially separated by a particular distance are pushed closer together until force between the two is reduced by a factor of ten.

Coulomb's law of force

\(f_{1}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{1}{ }^{2}}\)

d₁ is the initial distance.

So when charges are separated further, a new force is f₂, which is represented as

\(f_{2}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}^{2}}\)

d₂ is the moved distance

As a result, the given force is decreased by ten times its original value.

Thus, \(f_{2}=\frac{f_{1}}{10}\)

use the expression in both forces

\(\begin{gathered} \frac{f_{1}}{10}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}{ }^{2}} \\\frac{q_{1} q_{2}}{4 \times 10 \pi \epsilon d_{1}{ }^{2}}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}{ }^{2}} \\ \frac{1}{10 \times d_{1}{ }^{2}}=\frac{1}{d_{2}{ }^{2}} \\ d_{2}=\sqrt{10} d_{1}\end{gathered}\)

Now, calculate the moved distance d₂,

\(\begin{aligned}& d_{2}=\sqrt{10} d_{1} \\ & d_{2}=\sqrt{10} \times 30 \\& d_{2}=3.162 \times 30 \\ & d_{2}=94.868 \mathrm{~cm}\end{aligned}\)

The new distance is 94.868 cm.

Therefore, the new obtained distance is less than the 10 times the original distance.

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The complete question is-

Two charges originally separated by a certain distance are moved farther apart until the force between them has decreased by a factor of 10.  Is the new distance

(1) less than 10,

(2) equal to 10, or

(3) greater than 10;

times the original distance? If the original distance was 30 cm.

Answer:

it's 10 times 7 divided by 2

The experiment that would best test the hypothesis depends on the nature of the hypothesis itself. However find other people born in the same week and ask them what their favorite type of movie is, would likely be the most suitable (option c).

This option involves gathering data from individuals who share the same birth week. By asking them about their favorite type of movie, it allows for a direct comparison and analysis of movie preferences within a specific group. This experiment design aims to investigate if there is a correlation or similarity in movie preferences among individuals born in the same week.

Option a. Asking your friends if they also like the same type of music that you like is more of a casual survey and may not provide robust evidence to test the hypothesis, as it relies on a small, potentially biased sample size.

Option b. Interviewing all of your friends and finding out if the ones born in other weeks also like the same types of movies that you like could provide some insights, but it lacks a comparison group and may not address the specific hypothesis being tested.

Option d. Finding other people born in the same week and telling them about your favorite movie and asking if they also liked it does not directly test the hypothesis about movie preferences and birth week correlation.

Therefore, option c. finding other people born in the same week and asking them about their favorite type of movie would likely provide the most relevant data to test the hypothesis.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can simplify the expression √5 × √12 × √50 as follows:

√5 × √12 × √50 = √(5 × 12 × 50)

To simplify the product under the square root, we can factor the numbers into their prime factors:

5 = 5

12 = 2^2 × 3

50 = 2 × 5^2

Therefore, 5 × 12 × 50 = 2^2 × 3 × 5^3 = 2^2 × 5^3

Substituting this back into the original expression, we get:

√5 × √12 × √50 = √(2^2 × 5^3)

Taking the square root of the product, we can simplify further:

√5 × √12 × √50 = √(2^2) × √(5^3) = 2 × 5√5^2 = 2 × 5 × 5 = 50

Therefore, √5 × √12 × √50 simplifies to 50.

Answer:

the remainder is -52

Step-by-step explanation:

3x²-x + 3

x+7÷ 3x² - x +3

the remainder is -52

To estimate the mean amount earned by a college student per month, we can use a point estimate and a 95% confidence interval. A point estimate is a single value that represents the best estimate of the population parameter, in this case, the mean amount earned by a college student per month. This point estimate can be obtained by taking the sample mean. To determine the 95% confidence interval, we need to calculate the margin of error and add and subtract it from the sample mean. This gives us a range of values that we can be 95% confident contains the true population mean. The conclusion is that the point estimate and 95% confidence interval can provide us with a good estimate of the mean amount earned by a college student per month.

To estimate the mean amount earned by a college student per month, we need to take a sample of college students and calculate the sample mean. The sample mean will be our point estimate of the population mean. For example, if we take a sample of 100 college students and find that they earn an average of $1000 per month, then our point estimate for the population mean is $1000.

However, we also need to determine the precision of this estimate. This is where the confidence interval comes in. A 95% confidence interval means that we can be 95% confident that the true population mean falls within the range of values obtained from our sample. To calculate the confidence interval, we need to determine the margin of error. This is typically calculated as the critical value (obtained from a t-distribution table) multiplied by the standard error of the mean. Once we have the margin of error, we can add and subtract it from the sample mean to obtain the confidence interval.

In conclusion, a point estimate and a 95% confidence interval can provide us with a good estimate of the mean amount earned by a college student per month. The point estimate is obtained by taking the sample mean, while the confidence interval gives us a range of values that we can be 95% confident contains the true population mean. This is an important tool for researchers and decision-makers who need to make informed decisions based on population parameters.

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Answer:

\(\frac{3}{20}\) probability that you missed both the express bus and the local bus.

Step-by-step explanation:

Uniform distribution:

An uniform distribution has two bounds, a and b.

The probability of getting a value lower than x is:

\(P(X < x) = \frac{x - a}{x - b}\)

The express bus arrives at your neighborhood at a random time between 7:30 and 7:36 a.m.

6 minutes, so \(a = 0, b = 6\)

You arrive at 7:33, so if x < 3, you lose the express bus:

\(P_E = P(X < 3) = \frac{3 - 0}{6 - 0} = \frac{3}{6} = \frac{1}{2}\)

The local bus arrives at your neighborhood at a random time between 7:30 and 7:40 a.m.

10 minutes, so \(a = 0, b = 10\)

\(P_B = P(X < 3) = \frac{3 - 0}{10 - 0} = \frac{3}{10}\)

Find the probability that you missed both the express bus and the local bus.

\(p = P_E*P_B = \frac{1}{2}*\frac{3}{10} = \frac{3}{20}\)

\(\frac{3}{20}\) probability that you missed both the express bus and the local bus.

The probability that you missed both the express bus and the local bus is 3/20

The individual probability of a uniform distribution is calculated as:

\(P(X < x) = \frac{x - a}{b - a}\)

For the express bus

At 7:30 am, a = 0

At 7:36 am, b = 6

You arrived at 7:33 am; this means that:

x = 3

For you to miss the express bus, it means that the express bus left before 7:33 am.

i.e. x < 3

So, the probability that you miss the express bus is:

\(P(X < 3) = \frac{3 - 0}{6 - 0}\)

\(P(X < 3) = \frac{3}{6}\)

\(P(X_E < 3) = \frac{1}{2}\)

For the local bus

At 7:30 am, a = 0

At 7:40 am, b = 10

You arrived at 7:33 am; this means that:

x = 3

For you to miss the local bus, it means that the local bus left before 7:33 am.

i.e. x < 3

So, the probability that you miss the local bus is:

\(P(X < 3) = \frac{3 - 0}{10 - 0}\)

\(P(X_L < 3) = \frac{3}{10}\)

So, the probability that you miss both bus is:

\(P(Both) = P(X_E < 3) * P(X_L < 3)\)

This gives

\(P(Both) = \frac 12 * \frac 3{10}\)

\(P(Both) = \frac 3{20}\)

Hence, the probability that you missed both the express bus and the local bus is 3/20

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Width of the box is the dimension which gives the gives maximum value.

Width of the box = 9 cm

Length of the box = 9 cm

Given,

The perimeter of the rectangular bottom of the box = 36 cm

The height of the box = 4 cm

We have to find the dimension which gives maximum value.

Volume = lwh

Perimeter = 2(l + w)

36 = 2l + 2w

l = (36 - 2w)/2

l = 18 - w

Now,

Volume = length × width × height

V = (18 - w) × w × 4

V = 72w - 4w²

Lets find w by using w = -b/2a

That is,

w = -72/2(-4) = -72/-8 = 9

That is,

Width of the box is 9 cm and it is the dimension which gives the maximum value.

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Answer:

what? please give more details

Step-by-step explanation:

Answer: A

Step-by-step explanation:

see  pictures

The statement f'(0.4) < f'(-1.5) < f'(-3.1) is true.

f(x) = 1/7x⁷+1/2x⁶-x⁵-15/4x⁴+4/3x³+6x²

f'(x) is the derivative of f(x).

We use two derivative formulas here:

d/dx(xⁿ) = nxⁿ⁻¹

d/dx(cf) = c d/dx(f) .i.e., the derivative of a constant multiple of a function is the constant multiple of the derivative of the function.

Using these,

f'(x) = 7 x 1/7 x⁶ + 6 x 1/2 x⁵ - 5x⁴ 4 x 15/4 x³ + 3 x 4/3 x² + 2 x 6x

      = x⁶+ 3x⁵ - 5x⁴ -15x³ + 4x² + 12x

We will find values for f'(x) at x = -3.1, -1.5, 0.4, 3.1, 1.5

f'(-3.1) = (-3.1)⁶+ 3(-3.1)⁵ - 5(-3.1)⁴ -15(-3.1)³ + 4(-3.1)² + 12(-3.1)

         = 14.973651

f'(-1.5) =  (-1.5)⁶+ 3(-1.5)⁵ - 5(-1.5)⁴ -15(-1.5)³ + 4(-1.5)² + 12(-1.5)

         = 4.921875

f'(0.4) =  (0.4)⁶+ 3(0.4)⁵ - 5(0.4)⁴ -15(0.4)³ + 4(0.4)² + 12(0.4)

         = 4.386816

f'(1.5) =  (1.5)⁶+ 3(1.5)⁵ - 5(1.5)⁴ -15(1.5)³ + 4(1.5)² + 12(1.5)

        = -14.765625

f'(3.1) =  (3.1)⁶+ 3(3.1)⁵ - 5(3.1)⁴ -15(3.1)³ + 4(3.1)² + 12(3.1)

        = 913.392711

Hence we get, f'(1.5) < f'(0.4) < f'(-1.5) < f'(-3.1) < f'(3.1)

So the true inequality will be option (d) . f'(0.4) < f'(-1.5) < f'(-3.1)

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To describe the typical quiz scores of the students, a common measure used is the mean, or average, score. The mean is calculated by summing up all the scores and dividing by the total number of scores.

Given its simplicity and simplicity in interpretation, the mean was chosen as a proxy for normal quiz scores. It offers a solitary figure that encapsulates the scores' median. We can figure out the pupils' overall performance on the quiz scores by computing the mean.

It's crucial to keep in mind, though, that outliers or extremely high scores dividing might have an impact on the mean. The mean may not be an accurate representation of the normal results of the majority of students if there are a few students who severely underperform or do very well on the quizzes.

To get a more thorough picture of the distribution of quiz results in such circumstances, it might be beneficial to take into account additional metrics like the median or mode.

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x = 5pi/6 is not in the interval [0, pi/2]

Starting with the given equation:

4 cos x - 8 sin x cos x = 0

We can factor out 4 cos x:

4 cos x (1 - 2 sin x) = 0

So either cos x = 0 or (1 - 2 sin x) = 0.

If cos x = 0, then x = pi/2 since we're only considering the interval [0, pi/2].

If 1 - 2 sin x = 0, then sin x = 1/2, which means x = pi/6 or x = 5pi/6 in the interval [0, pi/2].

So the two solutions in the interval [0, pi/2] are x = pi/2 and x = pi/6.

That x = 5pi/6 is not in the interval [0, pi/2].

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The given equation is 4 cos x - 8 sin x cos x = 0. To find the solutions in the interval [0, pi/2], we need to solve for x.
Find the solutions within the given interval. Equation: 4 cos x - 8 sin x cos x = 0

First, let's factor out the common term, which is cos x:

cos x (4 - 8 sin x) = 0

Now, we have two cases to find the solutions:

Case 1: cos x = 0
In the interval [0, π/2], cos x is never equal to 0, so there is no solution for this case.

Case 2: 4 - 8 sin x = 0
Now, we'll solve for sin x:

8 sin x = 4
sin x = 4/8
sin x = 1/2

We know that in the interval [0, π/2], sin x = 1/2 has one solution, which is x = π/6.

So, in the given interval [0, π/2], the equation has only one solution: x = π/6.

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Step-by-step explanation:

x=30° { ins angle inscribed angle Standing on arc are equal }

hope it helps

Answer:

B. x =  -3 or x = 2

Step-by-step explanation:

Answer:

a) x 2

b) x 3

djsjsjkritjtj

Answer:

a is ×2. b is ÷3

Step-by-step explanation:

If you douple the multiple equation the answer will doupled by the same number

But if you triples the divide equation the valu will reduce by 3

We use the product rule and the chain rule to find the derivative of y = e^4x sin 4x.

y = e^4x sin 4x

y' = (e^4x)(4sin 4x + cos 4x(4))

y' = 4e^4x(sin 4x + cos 4x)

Therefore, the first derivative of y=e^4x sin 4x is y' = 4e^4x(sin 4x + cos 4x).

Interpretation: The first derivative gives the instantaneous rate of change of the function at each point. In this case, the derivative represents the rate at which the amount of medicine remaining in a person's bloodstream changes with respect to time x. The function has a maximum or minimum when the first derivative is equal to zero.

8z + 7w;    z = 6;   w = 7

8z + 7w  

=(8x6) + (7x7)

=48 + 49

=97

The answer is 97.

Answer:

97

Step-by-step explanation:

BIG BRAIN

Answer:

See below

Step-by-step explanation:

Given points:

First, plot the points on the coordinate plane (see attached)

We see that AB and BC look the same. Let's find their length:

We showed that AB = BC = 3√5, so the triangle has two sided of the same length, therefore is isosceles.

  El 1 y el 20 no se consideran para formar grupos debido a que tienen una propiedad especial en común. El número 1 es un elemento neutro en la multiplicación y el número 20 es un múltiplo común para todos los números del 1 al 20.

  Por lo tanto, cualquier grupo que incluya 1 no afectará la multiplicación de los otros números del grupo y cualquier grupo que incluya 20 siempre tendrá un múltiplo común que lo hace irrelevante para la agrupación.

  De esta manera, se evita la redundancia y se maximiza la eficiencia en la formación de grupos al resolver problemas de matemáticas o estadísticas.

Answer:

Step-by-step explanation:

I have x coins and you have y coins.

According to question we set the following equations.

If you give me 70 coins I will have three times as much money as you:

If I give you 70 coins, then you will have five times as much as me:

Solve by substitution:

Find the value of x:

Answer:

The sides are 6, 6 and 9

Step-by-step explanation:

Isosoles triangles have two sides the same length, s

Here the third side is 3 meters longer (s + 3)

therefor the perimeter is

s + s + (s + 3) = 21

Combine like terms

3s + 3 = 21

Subtract 3 from both sides

3s = 18

Divide both sides by 3

s = 6

s + 3 = 9

The sides are 6, 6 and 9

Answer:

The answer should be C

Step-by-step explanation:

I just got done calculating it and according to my calculations it should be C

In table the missing entity are :

1. On June 26, the values are a is 0 ,  b is $ 1300 , c is $1300 , d is $20.8 and e is $ 1320.8

2. On June 27, the values are f is $ 1320.8  , g is 0 , h is $ 1300 , I is $ 41.93 and j is $ 1341.93

3. On June 28, the values are k is $ 1341.93 , l is 0 , m is $ 1300 , n is $ 63.40 and o is $ 1363.40.

What is compound interest ?

The interest on savings that is calculated using both the original principal and the interest accrued over time is called compound interest.

It is given that , the initial deposit is of $1300 on date 26th of June.

The rate of compound interest = 1.6%

We know that the formula to find out the compound interest on a deposit is given by:

CI = P × \([1 + \frac{r}{100}]^{t}\)

Here : P is the principal amount and r is the rate of interest in %.

On June 26 :

Opening balance = 0

Deposit = $ 1300

Principal used = $ 1300

Compound interest will be :

CI = 1300 × \([1 + \frac{1.6}{100}]^{1}\)

CI = $ 1320.8

This is the ending balance.

Interest = 1320.8 - 1300 = $ 20.8

On June 27 :

Opening balance = $ 1320.8

Deposit = 0

Principal used = $ 1300

CI =  1300 × \([1 + \frac{1.6}{100}]^{2}\)

CI = $ 1341.93

This is the ending balance.

Interest = 1341.93- 1300 = $ 41.93

On June 28 :

Opening balance = $ 1341.93

Deposit = 0

Principal used = $ 1300

CI =  1300 × \([1 + \frac{1.6}{100}]^{3}\)

CI = $ 1363.40

This is the ending balance.

Interest = 1363.40 - 1300 = $ 63.40

Therefore , in table the missing entity are :

1. On June 26, the values are a is 0 ,  b is $ 1300 , c is $1300 , d is $20.8 and e is $ 1320.8

2. On June 27, the values are f is $ 1320.8  , g is 0 , h is $ 1300 , I is $ 41.93 and j is $ 1341.93

3. On June 28, the values are k is $ 1341.93 , l is 0 , m is $ 1300 , n is $ 63.40 and o is $ 1363.40.

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Answer:

The price of a child ticket in dollars $8.00

Step-by-step explanation: