please help me please ​

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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The graph of y = [1/2(x -10)] - 3, compared to the graph of 1/x, represents these following transformations:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The translations for this problem are given as follows:

Additionally, there was a multiplication by 2 in the domain, meaning that the parent function was horizontally compressed by a factor of 2.

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Answer: c= 35x + 75

Step-by-step explanation:

If he earns $75 then that will be the constant amount which means it will never change, plus $35 for x cars, will give us the expression 35x + 75 and that has to equal c which is his total earnings.

Answer:

Step-by-step explanation:

Total earnings for x cars sold:

Answer:

Bernad is WRONG.

Step-by-step explanation:

Let us take the number '18' (ends with 8)

The half of 18 is '9' (doesn't end with 4)

Let us take the number '38' (ends with 8)

The half of 38 is '19' (doesn't end with 4)

Therefore, Bernard is wrong.

Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Bernard says “When you halve a whole number that ends in 8, you always get a number that ends in 4”

It can be written mathematically:

Let's suppose the number is '18' (ends with 8)

The half of 18 =  9 (doesn't end with 4)

Let's suppose the number is '38' (ends with 8)

The half of 38 = 19 (doesn't end with 4)

Thus, Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”

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Answer:

Answer is ...Obtuse

Step-by-step explanation:

\( \frac{m<ABC}{2} = m< CBD\)

\( \frac{5x + 4}{2} = \frac{3}{2} x + 21\)

\( \frac{5x + 4}{2} = \frac{3x + 42}{2} \)

\(5x + 4 = 3x + 42\)

\(5x - 3x = 42 - 4\)

\(2x = 38\)

\(x = 19\)

\(substituting \: x = 19 \: \:in \: \: \: \: \: \: \: \\ m<ABC =\: \: 5x + 4, \)

We get,

m<ABC =

\((5 \times 19) + 4 = 99\)

Hence <ABC is obtuse

Answer:

Answer:

800 miles

Step-by-step explanation:

Let the amount of miles = m

Company A charges a flat rate of $160 a day, and $0.60 per mile:

total = 0.60m + 160

Company B charges a flat rate of $80 a day, and $0.70 per mil:

total = 0.70m + 80

Step-by-step explanation: Rank me brain list or thanks it :) Hope it helps!

Answer:

-18v + 9w +15

Step-by-step explanation:

-3(6v-3w-5)

You can use a table or multiply each term

-3(6v)  + -3(-3w) + -3(-5)

= -18v + (9w) + (15)

= -18v + 9w + 15

Answer:

X=13

Step-by-step explanation:

Answer:

Hey there!

Our equation can be: 2y+3=4y+2

Hope this helps :)

Answer:

2y+3=4y+2

I hope you got it..

The pooled sample variance, rounded to 2 decimal places, is 7,316.22.

To find the pooled sample variance of the two samples from populations A and B, follow these steps,

1. Calculate the weighted variance for each sample:
  - For sample A: (Sample size A - 1) * Sample variance A = (18 - 1) * 8490 = 17 * 8490 = 144,330
  - For sample B: (Sample size B - 1) * Sample variance B = (21 - 1) * 6330 = 20 * 6330 = 126,600

2. Calculate the total degrees of freedom:
  - Total degrees of freedom = (Sample size A - 1) + (Sample size B - 1) = 17 + 20 = 37

3. Calculate the pooled sample variance:
  - Pooled sample variance = (Weighted variance A + Weighted variance B) / Total degrees of freedom = (144,330 + 126,600) / 37 ≈ 7,316.22

The pooled sample variance, rounded to 2 decimal places, is 7,316.22.

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Answer:

t test for one mean.

met

met

met

Step-by-step explanation:

Minimum value is 103, lower quartile (Q1): median of first 15 values s 137, median (Q2): median of all 30 values is 153.5, upper quartile (Q3): median of last 15 values is 174 and maximum value is 216

To construct a boxplot from the given data, follow these steps:

1. Arrange the data in ascending order.
2. Find the minimum value, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum value.

Arranged data:
103, 105, 114, 121, 128, 133, 134, 137, 140, 142, 143, 144, 150, 153, 160, 161, 163, 166, 169, 171, 173, 174, 175, 177, 179, 181, 189, 206, 212, 216

Minimum value: 103
Lower quartile (Q1): Median of first 15 values = 137
Median (Q2): Median of all 30 values = 153.5
Upper quartile (Q3): Median of last 15 values = 174
Maximum value: 216

Based on the calculated values, the important characteristics of the boxplot are as follows:

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The magnetic field at the center of the circular wire loop is approximately 2π × 10⁻⁵ Tesla.

The formula for the magnetic field at the center of a circular wire loop is given by:

B = (μ₀ × I × N) / (2 × R)

Where:

B is the magnetic field at the center of the loop,

μ₀ is the permeability of free space (4π × 10⁻⁷ T·m/A),

I is the current passing through the loop,

N is the number of turns in the loop, and

R is the radius of the loop.

Given:

Radius of the circular wire loop, R = 5 cm = 0.05 m

Number of turns, N = 12

Current, I = 3 A

Substituting these values into the formula, we have:

B = (4π × 10⁻⁷ T·m/A) × (3 A) × (12) / (2 × 0.05 m)

Simplifying further:

B = (2π × 10⁻⁶)× (36) / (0.1)

B=2π × 10⁻⁵ T

Therefore, the magnetic field at the center of the circular wire loop is  2π × 10⁻⁵ Tesla.

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The correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.

The rate of change of function is the change in the value of the function with respect to x value.

rate of change of function f(x)= df(x)/dx= f'(x)

Here the function given in the question is y=2x-5

rate of change of function= f'(x)= df(x)/dx= dy/dx= d(2x-5)/dx= 2

the starting point of the function f is y-intercept of the function.

the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.

y= 2x-5

⇒y= 2*0-5

⇒y= -5

The starting point of function is -5.

Given the graph has slope = |y-intercept| / |x intercept|

= 4/1 =4

rate of change of graph = slope of graph= 4

similarly, the y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.

The y-intercept of the graph= the starting point of the graph= -5

Therefore the function in the graph has a higher rate of change as well as a higher starting point.

From the above, it is clear that the correct option is Option C: The function shown on the graph has a greater rate of change and a higher starting point.

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Answer:

475 students, 125 adults

Step-by-step explanation:

x + y= 600......equation 1

5x +9y= 3500.......equation 2

From equation 1

x +y = 600

x= 600-y

Substitute 600-y for x in equation 2

5(600-y) +9y= 3500

3000-5y+9y= 3500

3000+4y= 3500

4y= 3500-3000

4y= 500

y= 500/4

y= 125

Substitute 125 for y in equation 1

x + y= 600

x + 125= 600

x = 600-125

x= 475

Hence there are 475 students and 125 adults

Answer: Its B i just took the test

Step-by-step explanation:

Answer:

$58.50

Step-by-step explanation:

1.2 kg = 1200g

To get from 200 to 1200, we time 6, so we take $9.75 times 6 to get the price.

$9.75 times 6 = $58.50

So, the cost of 1.2kg cheese is $58.50

The answer is $58.50

I have attached the explanation! :)

Answer:

{TT, HH} and {TH}

Step-by-step explanation:

Mutually exclusive just means the three pairs of letters are all different and does not repeat. Only the last choice has three unique pairs of letters: TailTail, HeadHead, and TailHead.

Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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Answer:

$70

Step-by-step explanation:

1. I = PRT

2. Sub in what you know into the equation:

I = $875 (principal amount) x 0.04 (4%) x 2 (24 months = 2 years)

3. 875 x 0.04 x 2 = 70

4. Anna will receive $70 in simple interest

Answer:

£70

Step-by-step explanation:

simple interest (I) is calculated as

I = \(\frac{PRT}{100}\)

where P is principal, R is rate of interest and T is time in years.

Note that 24 months = 2 years, thus

I = \(\frac{875(4)(2)}{100}\) = \(\frac{7000}{100}\) = £70

Answer:

= 1  32/252

Step-by-step explanation:

To estimate the parameters for the exponential and uniform distributions based on the given data, you can use the method of moments or maximum likelihood estimation.

To estimate the parameter for the exponential distribution, you can use the fact that the mean of an exponential distribution is equal to the reciprocal of the rate parameter (λ). In this case, you can calculate the sample mean of the data (86 + 24 + 9 + 50) / 4 = 42.25. Since the mean of the exponential distribution is equal to 1/λ, you can estimate the rate parameter as λ = 1 / 42.25.

For the uniform distribution, you need to estimate the minimum (a) and maximum (b) values. The minimum value can be estimated as the minimum observation in the data, which is 9. The maximum value can be estimated as the maximum observation, which is 86.

Once you have estimated the parameters, you can construct Q-Q plots. In a Q-Q plot, you plot the quantiles of the observed data against the quantiles of the theoretical distribution. For the exponential distribution, you can use the quantile function to calculate the expected quantiles. For the uniform distribution, you can calculate the quantiles using the formula (i-0.5)/n, where i ranges from 1 to n and n is the number of observations.

By comparing the observed quantiles with the expected quantiles on the Q-Q plot, you can visually assess the fit of the data to the chosen distributions.

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Answer:

e=19.6h

Step-by-step explanation:

If in 21 hours, she earns 411.60 dollars, then we need to find how much she makes in ONE hour.

21 h            1 hour

--------- = ------------------

411.60 dollars    xdollars

To get from 21 to 1, I would have to divide by 21, right? So, do the same for the denominators.

411.60 / 21= $19.6

Now, since we know the unit rate, we can make an equation!

e=19.6h

Step-by-step explanation:

I will help you 180 g flour

Answer: Complementary angles are pair angles with the sum of 90 degrees

Step-by-step explanation: When talking about complimentary angles, always remember that the angles appear in pairs. One angle is the complement of the other angle.

Hope this helps :)

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\(\bigstar\boxed{\large\bf{\leadsto 6\:floors}}\)

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

\(\begin{gathered}\rm{ \underline{ \underline{ \red{Given}}}}\begin{cases}\sf{height\:of\:one\:floor\:of\:dollhouse =12.4\:in} & \\ \\\sf{Height\:of\: dollhouse=75\:in}&\end{cases}\\\\\end{gathered} \)

➜ Therefore , Total number of floors can be find out by dividing the total height of dollhouse by the length of one floor

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\bf{=\cancel{ \dfrac{75}{12.5}}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\bf{= 6}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

Answer:

The answer is D

Step-by-step explanation:

We should note that the function y = sin x = b/r has a maximum value of 1 at x = π/2, since at that point b is equal to r

Option B is correct,  y= cosx - 2 is the  function whose graph is given in attachment.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.

The graph of equation y= cos x - 2 is showing in the picture.

The equation y= cosx - 2 is showing the given graph.

Hence, Option B is correct,  y= cosx - 2 is the  function whose graph is given in attachment.

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Answer:

  37/50

Step-by-step explanation:

You want the fraction of integers in the range [1, 100] that are divisible by 2, 3, or 5.

Attached is a Venn diagram showing how the divisibility of numbers from 1 to 100 stacks up. Circle A includes all 50 numbers divisible by 2; Circle B counts all 33 numbers divisible by 3; and Circle C counts the 20 numbers divisible by 5.

Where the circles overlap, there are counts of the numbers divisible by the relevant combination of factors. For example, there are 3 numbers divisible by 2, 3, and 5. (They are 30, 60, 90.)

In all, there are 74 numbers in the range 1–100 that are divisible by 2, 3, or 5.

The probability that a card chosen at random will have a number divisible by 2, 3, or 5 is 74/100 = 37/50.

  P( 2, 3, or 5 divides N) = 37/50.

__

Additional comment

Roughly, the number of numbers in range [A, B] divisible by n is (B -A)/n. This is how we arrived at the counts shown in the attachment. For example, There are 100/(2·5) = 10 numbers divisible by both 2 and 5. Of those, there are 10/3 = 3 divisible also by 3. So, the number 3 is found in the area ABC, and the number 10-3=7 is found in the area AB'C.

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