Find the derivative of the function. y = (5x – 3)4(4x2 - 1)-3

Answer:

Step-by-step explanation:

80*4=320km

Answer:

In mathematics, the range of a function may refer to either of two closely related concepts: The codomain of the function The image of the function Given two sets X and Y, a binary relation f between X and Y is a function if for every x in X there is exactly one y in Y such that f relates x to y.

Step-by-step explanation:

Hope it help.

Answer:

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

Step-by-step explanation:

#Carryonlearning

Answer:

First, we have to set it from least to greatest 11, 12, 12, 13, 14, 15, 16, 17, 18

The  interqurtile range is q3 - q1

Q3 is 16.5 and the q1 is 12

16.5 - 12 = 4.5

Step-by-step explanation:

Answer is 4.5

Interquartile range (IQR) :

The interquartile range shows the range in values of the central 50% of the data. To find the interquartile range, subtract the value of the lower quartile ( or 25%) from the value of the upper quartile ( or 75%).

=>  IQR = Q3 – Q1

Here,

First Arrange the data in ascending order.

11, 12, 12, 13, 14, 15, 16, 17, 18

Median = 14.

Q1 = 12 and Q3 = 16.5

IQR = Q3 - Q1 => 16.5 - 12 = 4.5

Answer is 4.5

Learn more about Interquartile range here:

https://brainly.com/question/16311086?referrer=searchResults

#SPJ2

Answer:

y= -1x+1

Step-by-step explanation:

Slope and y intercept

Answer:

-x+1

Step-by-step explanation:

The slope is negative, it is heading downwards.

The slope also only has a value of 1, the y-value decreases by one for every increase of the x-value. (-1/1)

This graph is shifted upwards by one which is why 1 is the b-value.

Answer:

Im pretty sure its 36.

Step-by-step explanation:

9x2=18x2=36

I might not be fully correct though.

Answer:

not a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms

Answer:

False is a Non-polynomial

Answer:

The 25%

Step-by-step explanation:

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

f(x) = 2x

Let x =1

f(1) = 2*1

f(1) = 2

Answer:

f(1)=2

Step-by-step explanation:

We are given the equation:

f(x)=2x

We also know that x=1. Therefore, we can substitute 1 in for every x.

f(1)= 2(1)

Multiply 2 and 1

f(1)=2

f(x) when x=1 is 2.

The transformation of the graph f(x) = x² to the graph g(x) = -3(x+5)² + 12 involves a horizontal shift, a vertical stretch, and a vertical translation.

The graphs of f(x) = x² and g(x) = -3(x+5)² + 12 are the parabola.

The transformation of the graph is following as:

Firstly, the parabola has been shifted horizontally by 5 units to the left, which is reflected in the expression (x+5)².

Secondly, the parabola has been stretched vertically by a factor of -3, which is reflected in the coefficient in front of (x+5)².

Finally, the parabola has been raised up to 12 units. This means that the vertex of the parabola has been shifted upwards from the origin to the point (−5,12).

Learn more about the transformation here:

https://brainly.com/question/28772799

#SPJ1

Answer:

x=0

Step-by-step explanation:

3 (2 + 5) = 3 + 15

(3) (2) + (3) (5) = 3 + 15

6 + 15 = 3 + 15

6 + 15 − 3 = 3 + 15 − 3x

3 + 15 = 15

3 + 15 − 15 = 15 − 15

3x = 0

devide, and then you have x=0

Answer:

\(x\) = 0

1.   3 (2\(x\) + 5) = 3\(x\) + 15

    (3) (2\(x\)) + (3) (5) = 3\(x\) + 15

    6\(x\) + 15 = 3\(x\) + 15

2.   6\(x\) + 15 − 3\(x\) = 3\(x\) + 15 − 3x

     3\(x\) + 15 = 15

3. 3\(x\) + 15 − 15 = 15 − 15

   3x = 0

4. \(\frac{3x}{0}\) = \(\frac{0}{3}\)

Answer = 0

The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

Learn more about optimal solution

brainly.com/question/30575901

#SPJ11

Answer: x +

Step-by-step explanation:

the correct expression is:

5 x (8 + 4)

when expanded, this would give you:

5x8 + 5x4

so the blanks should be filled with x and +

Answer:

\(-20=16\)

Step-by-step explanation:

Given the following equation:

\(4(-5)=8+8\)

Due to the equation having no variable we do not have to solve for anything, but we can simplify.

\(4(-5)=8+8\)

\(4(-5)=4\times-5=-20\)

\(8+8=16\)

\(-20=16\)

Hope this helps.

Answer:

Volume is 21

Explanation

Base length is 4.5

Widgth is 3.5

and height is 4 (I can't tell if its 2 because picture is blurry)

V=lwh/3=4.5·3.5·4= 21

By using a table of a random number in this manner, you can simulate the number of correct answers Jason might get on a 10-question multiple-choice exam with 5 choices for each question.

To perform a simulation using a table of random digits to determine the number of correct answers Jason gets on a 10-question multiple-choice exam, follow these steps:

1. Assign each answer choice a digit from 0 to 4. For example, A=0, B=1, C=2, D=3, and E=4.

2. Determine the correct answers for each question and note down the corresponding digits. For example, if the correct answers are A, B, C, D, and E for the first five questions, the correct answer digits would be 0, 1, 2, 3, and 4.

3. Select a starting point in the table of random digits. You can choose any point, as long as you use a consistent method to move through the table.

4. For each question, compare the random digit in the table to the correct answer digit. If the digits match, that means Jason guessed the answer correctly.

5. Move to the next random digit in the table for the next question, until you have simulated all 10 questions.

6. Count the number of correct answers based on matching digits and record the result.

7. Repeat steps 3 to 6 multiple times to get a more accurate estimate of Jason's expected number of correct answers. You can use different starting points in the table for each repetition.

8. Calculate the average number of correct answers from all the repetitions to estimate Jason's performance when guessing the answers.

By using a table of a random number in this manner, you can simulate the number of correct answers Jason might get on a 10-question multiple-choice exam with 5 choices for each question.

to learn more about random numbers click here:

https://brainly.com/question/30263705

#SPJ11

Answer:

In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B (or equivalently, all elements of B that also belong to A).

Step-by-step explanation:

Answer:

Yesterday I squeezed 2 kilos of apples in a barrel.

Today I have picked 5 extra kilos of apples and save them in a basket.

By the end of the day, I want to squeeze some of them and add to the barrel.

Apple juice from the barrel is valued 3 times the same amount of raw apples.

I want to find how many apples I can squeeze today (x) such that the value of the remaining raw apples is equivalent to the total value of produced apple juice.

Step-by-step explanation:

The equation is 5-x = 3 * (x + 2).

If x is the amount of apple to squeeze (in kilos) then 5-x is the remaining raw apples and x+2 is the total quantity of juice.

Since that juice is valued 3 times the raw apples we obtain the equivalence defined in the equation above.

Answer: 9 triangles

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The ratio of the lengths of the four sides of the trapezoid of 1:1:1:2, and the area of 48·√3, gives the perimeter of the trapezoid as 40

A trapezoid is a quadrilateral that has a pair of sides that are parallel.

The given ratio of the sides are: 1:1:1:2

The area of the trapezoid is A = 48·√3

Required: The perimeter of the trapezoid

\(Area\ of \ a \ trapezoid \ is, A = \dfrac{a+b}{2} \cdot h\)

Where:

a and b are the lengths of the parallel sides

Given that a ≠ b, when the proportionate length of b = 2, then a = 1

Which gives that the proportionate lengths of the other sides are also 1 and 1

The trapezoid is therefore, an isosceles trapezoid, and the proportionate length of h is therefore;

h² = √(a² - (0.5·a)²) = √(a² - 0.25·a²) = √(0.75·a²)

\(h = \dfrac{\sqrt{3} }{2} \cdot a\)

Which gives: \(A = \dfrac{a+2\cdot a}{2} \times \dfrac{\sqrt{3} }{2} \cdot a = a\cdot \left(\dfrac{3\cd}{2} + \dfrac{\sqrt{3} }{2} \right) = \dfrac{3\cdot \sqrt{3}\cdot a^2 }{4} =48\cdot \sqrt{3}\)

\(\dfrac{3\cdot a^2 }{4} =48\)

3·a² = 48 × 4 = 192

\(a^2=\dfrac{192}{3} =64\)

a = √(64) = 8

b = 2·a

∴ b = 2 × 8 = 16

The lengths of sides of the trapezoid are: 8, 8, 8, 16

The perimeter is P = 8 + 8 + 8 + 16 = 40

Learn more about ratios here:

https://brainly.com/question/12024093

https://brainly.com/question/2914376

https://brainly.com/question/24963487

#SPJ1

The percentage increase is 22.72%

The given parameters are:

Initial = 440 coins

Final = 540 coins

The percentage increase is calculated as:

%Increase = (Final - Initial)/Initial * 100%

So, we have:

%Increase = (540 - 440)/440 * 100%

Evaluate the difference

%Increase = 100/440 * 100%

Evaluate the quotient

%Increase = 0.2272 * 100%

Evaluate the product

%Increase = 22.72%

Hence, the percentage increase is 22.72%

Read more about percentage increase at:

https://brainly.com/question/11360390

#SPJ1

Answer:

147

Step-by-step explanation:

\(\displaystyle \frac{f(b)-f(a)}{b-a}\\ \\\frac{f(5)-f(3)}{5-3}\\ \\\frac{(3(5)^3+2)-(3(3)^3+2)}{2}\\ \\\frac{(3(125)+2)-(3(27)+2)}{2}\\ \\\frac{(375+2)-(81+2)}{2}\\ \\\frac{377-83}{2}\\ \\\frac{294}{2}\\ \\147\)

Recall that if a function \(f\) is continuous over the interval \([a,b]\), then its average rate of change is \(\frac{f(b)-f(a)}{b-a}\).

Answer:

76

Step-by-step explanation:

so the sequence(pattern) is it increases by 5

there are 2 ways to solve this promblem

one count on your toes and hands by 5 starting at one until u get to 10 fingers and 5 toes. soon the promblems will get harder and you cant do that

other way multiply 5 by 15 and add it to 1

t( 15 ) = t( 1 ) + [ 14 × ( Constant value ) ]

________________________________

t( 1 ) = 1

&

Constant value = t( 2 ) - t( 1 ) = t( 3 ) - t( 2 )

Constant value = 6 - 1

Constant value = 5

________________________________

Thus :

t ( 15 ) = 1 + [ 14 × 5 ]

t( 15 ) = 1 + 70

t( 15 ) = 71

Main Answer: The answer would be (3) yes.

Supporting Question and Answer:

How do we construct a confidence interval for the mean using the t-distribution?

To construct a confidence interval(CI) for the mean using the t-distribution, we need to know the sample mean, sample standard deviation (or sum of squared deviations), sample size, and the desired confidence level. By calculating the standard error, determining the critical value from the t-distribution table, and multiplying it by the standard error, we can find the margin of error. Finally, we construct the confidence interval for the mean using the t-distribution.

Body of the Solution: To find the 95% confidence interval for the mean response time of the fire station in the northern part of town, we can use the t-distribution because the sample size is relatively small and the population standard deviation is unknown.

The sample mean for the northern fire station is given as 192, and the sum of squared deviations is 197.2. The sample size for the northern fire station is 30.

Using the t-distribution, the critical value for a 95% confidence level and a sample size of 30 - 1 = 29 degrees of freedom is approximately 2.045 (obtained from a t-table or calculator).

To calculate the standard error (SE) of the mean using the formula:

SE = sqrt(Sum of Squared Deviations / (n × (n - 1)))

For the northern fire station:

SE = sqrt(197.2 / (30×(30 - 1))) ≈ 0.3176

E = Critical Value× SE

= 2.045 ×0.3176

≈ 0.6493

To construct the 95% confidence interval, we add and subtract the margin of error from the sample mean:

Lower Bound  = 192 - 0.6493

≈ 191.35

Upper Bound = 192 + 0.6493

≈ 192.65

Therefore, the 95% confidence interval for the mean response time of the fire station in the northern part of town is approximately 191.35 to 192.65 minutes.

Blank #1: 95% confident that the true mean response time of the fire station in the northern part of town is between 191.35 and 192.65 minutes.

Blank #2: The answer would be (3) yes, the distribution is only slightly skewed, and the sample size is large enough.

Final Answer: Therefore, the 95% CI for the mean response time of the fire station in the northern part of town is approximately 191.35 to 192.65 minutes and the distribution is only slightly skewed, and the sample size is large enough.

To learn more about a confidence interval for the mean using the t-distribution from the given link

https://brainly.com/question/23402811

#SPJ4

The 95% CI for the mean response time of the fire station in the northern part of town is approximately 191.35 to 192.65 minutes and the distribution is only slightly skewed, and the sample size is large enough.

The answer would be (3) yes.

To construct a confidence interval(CI) for the mean using the t-distribution, we need to know the sample mean, sample standard deviation (or sum of squared deviations), sample size, and the desired confidence level.

By calculating the standard error, determining the critical value from the t-distribution table, and multiplying it by the standard error, we can find the margin of error. Finally, we construct the confidence interval for the mean using the t-distribution.

To find the 95% confidence interval for the mean response time of the fire station in the northern part of town, we can use the t-distribution because the sample size is relatively small and the population standard deviation is unknown.

The sample mean for the northern fire station is given as 192, and the sum of squared deviations is 197.2. The sample size for the northern fire station is 30.

Using the t-distribution, the critical value for a 95% confidence level and a sample size of 30 - 1 = 29 degrees of freedom is approximately 2.045 (obtained from a t-table or calculator).

To calculate the standard error (SE) of the mean using the formula:

SE =  \(\sqrt{(Sum of Squared Deviations} / (n \times (n - 1)))\)

For the northern fire station:

SE = \(\sqrt{(197.2 / (30\times(30 - 1)))} \simeq 0.3176\)

E = Critical Value× SE

= 2.045 ×0.3176

≈ 0.6493

To construct the 95% confidence interval, we add and subtract the margin of error from the sample mean:

Lower Bound  = 192 - 0.6493

≈ 191.35

Upper Bound = 192 + 0.6493

≈ 192.65

Therefore, the 95% confidence interval for the mean response time of the fire station in the northern part of town is approximately 191.35 to 192.65 minutes.

Blank #1: 95% confident that the true mean response time of the fire station in the northern part of town is between 191.35 and 192.65 minutes.

Blank #2: The answer would be (3) yes, the distribution is only slightly skewed, and the sample size is large enough.

Therefore, the 95% CI for the mean response time of the fire station in the northern part of town is approximately 191.35 to 192.65 minutes and the distribution is only slightly skewed, and the sample size is large enough.

To learn more about a confidence interval

brainly.com/question/23402811

#SPJ4

Answer:

Galactus is far and away the more powerful villain in Marvel lore. They don't call him the Devourer of Worlds for nothing. He's a cosmic villain who literally eats planets to sustain himself. He first appeared in Marvel's Fantastic Four comics in the late 60's and is still one of the brand's toughest villains.

Step-by-step explanation:

Answer:16

Step-by-step explanation: