To USE ThE DEFINITION OF DERIVATIVE to Find f’(X) WHEN f(x) = 4x^2 -7X Find y' : ] A) Y^2x^3 e^5x2
B) Y=tan^-1 (3x^2+5)
C) y = sin4 (X^2 + 1)
D) y=x^3+2 / x^2+5x

Answer:

654

Step-by-step explanation:

An increase of 9% would mean 1.09 times 600 which equals 654

The quadratic equation that is satisfied here is given as x^2 + 5x - 176 = 0

Let's call the two integers x and y, where x is the smaller integer (N). Then, we have:

xy = 176

and

y = x + 5

We can substitute the second equation into the first equation to get:

x(x + 5) = 176

Expanding the left side, we get:

x^2 + 5x - 176 = 0

This is a quadratic equation that N satisfies.

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Answer:

7425 inches^2

Step-by-step explanation:

825 inches (length) multiplied by 9 inches (width) to get 7,425 inches^2, squared because we are dealing with area.

Answer:

3.0625 seconds

Step-by-step explanation:

From the question,

✓She slides at a rate of 8 m/s downward

✓after 3 seconds is 5 m off of the ground

We can calculate the the number of seconds she will use to get to the ground by

Velocity= distance/time

Time= distance/ velocity

=5/8 seconds

=0.625seconds

To know how many seconds it will take her to slide to the ground from the top can be calculated as

( 3seconds + 0.625 seconds)

= 3.0625 seconds

Answer:

3150 wpm

Step-by-step explanation:

70/1=x/45

x=70*45 x=3150

Hope this helps plz hit the crown :D

Answer:

Helen can type 3150 words in 45 minutes.

Step-by-step explanation:

70 words Multiplied by 45 minutes

70×45=3150

Hope it helps!

The measure of angles are

The length of the hypotenuse of the right triangle = 11 inches

The length of the one leg = 10 inches

Then the length of the other leg is the square root of the sum of the hypotenuse square and one leg square

Then the equation will be

The length of the other leg = \(\sqrt{11^2-10^2}\)

= \(\sqrt{121-100}\)

= 4.58 inches

Therefore AC = 11 inches

AB = 10 inches

BC = 4.58 inches

The angle B = 90 degrees

Consider the angle A

cos θ = Adjacent side / hypotenuse

cos θ = 10 /11

θ = 24.61 degrees

Consider the angle C

cos θ = Adjacent side / Hypotenuse

cos θ = 4.58 / 11

θ = 65.39 degrees

Hence, the measure of angles are

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The possible whole-number values of 'a' that satisfy the triangle inequality are 2, 3, 4, 5, and 6.

A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed.

To create a triangle with sides a, b, and c, the sum of the lengths of any two sides must be greater than the length of the third side. This can be represented by the triangle inequality:

a + b > c

a + 6 > 7 (substituting the given values for b and c)

a > 1

b + c > a

6 + 7 > a

13 > a

a + c > b

a + 7 > 6

a > -1

Since the length of a cannot be negative, the inequality can be simplified to:

a > 1

Therefore, to create a triangle with side lengths of 7, 6, and some whole number value for a, a must be greater than 1. The possible whole-number values of 'a' that satisfy the triangle inequality are 2, 3, 4, 5, and 6.

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The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

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Considering the extremas, the graph D represents the situation in this problem.

For this problem, we have that 33 days is the period between the relative maximums of the function, hence graph D represents the situation in this problem.

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No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Given:

Required:

Find the endpoints of the major axis and minor axis of the ellipse.

Explanation:

The standard equation of the ellipse is:

Where h and k are the centers of the ellipse and a and b are the length of the axis.

Rewrite the given equation as:

Compare the given equation with the standard equation we get

Since a>b so the coordinate x-axis will be a major axis and the y-axis will be a minor axis.

The coordinate of the major axis are:

Take + sign

Take - sign

The coordinates of the minor axis are:

Take the + sign

Take the - sign

Final Answer:

The coordinates of the major axis are: (8,-3) and (-4,-3)

The coordinates of the minor axis are:

A control group on the dependent variable, P-value is higher than the usual cutoff of 0.05 for rejecting the null hypothesis that there is no difference between the groups, this is frequently regarded as evidence that the difference between the groups is not statistically significant.

In an analysis testing difference between an experimental and a control group on the dependent variable, a p-value of 0.07 means that there is a 7% chance of obtaining a difference as large or larger than the observed difference between the two groups, assuming that there is no true difference between the groups in the population.

Interpreted as evidence that the difference between the groups is not statistically significant, since the p-value is greater than the conventional threshold of 0.05 for rejecting the null hypothesis of no difference between the groups.

Statistical significance does not necessarily imply practical significance, and there may still be a meaningful difference between the groups that is not detected by the statistical test.

Additionally, the interpretation of a p-value depends on the study design, sample size, and other factors, and should be considered in conjunction with other information about the study.

True difference between the groups in the population, a p-value of 0.07 indicates that there is a 7% chance of finding a difference as large or larger than the observed difference between the two groups in an analysis testing the difference between an experimental and a control group on the dependent variable.

P-value is higher than the usual cutoff of 0.05 for rejecting the null hypothesis that there is no difference between the groups, this is frequently regarded as evidence that the difference between the groups is not statistically significant.

It's crucial to remember that statistical significance does not always imply practical relevance.

There could still be a significant difference between the groups that is not shown by statistical analysis.

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The correct size of the distance matrix for a multivariate data set with 25 subjects and 7 variables is 25 x 25.

Understanding the many objectives and histories of the various types of multivariate analysis, as well as how they connect to one another, is the focus of multivariate statistics.

The distance matrix contains the pairwise distances between all pairs of subjects in the dataset, and therefore has the same number of rows and columns as the number of subjects in the dataset. Since there are 25 subjects in this dataset, the distance matrix will have 25 rows and 25 columns.

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Step-by-step explanation:

y = 4x - 7

Comparing the given equation with y = mx + c Then

slope (m) = 4

y -intercept (c) = - 7

Hope it will help :)

Answer: the slope is negative 4

Step-by-step explanation:

because its ez

The first step you have to follow is to find k(1) by replacing each x in k(x) for 1:

Now, find g(k(1)), it means, g(-7):

(g°k)(1)=573.

Answer:

constant

Step-by-step explanation:

Answer:

$490 is the retail price

Step-by-step explanation:

75% = \(\frac{3}{4}\)

\(\frac{280}{4} = 70\)

\(70(3)=210\)

\(280+210=490\)

The retail price will be; 490 dollar.

Markup is the amount that will be increased in the original price of the considered thing.

Markdown is the amount that will be decreased from the original price of the considered thing.

Think of "up" and "down" as increasing and decreasing prices respectively.

We are given that Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce.

The mark-up rate = 75% of the cost to produce.

Retail price = cost price + 75 % of cost price

Therefore,

Retail price = 280 + 75 % of 280

Retail price = 280 + 0.75 x 280

Retail price = 280 + 210

Retail price = 490

Thus, retail price is $ 490

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The maximum value of the quadratic function f(x)=-3(x-4)(x-6) is -72.

Given data:

To determine whether the quadratic function f(x) = -3(x-4)(x-6) has a minimum or maximum, analyze the leading coefficient, which is -3.

Since the leading coefficient is negative (-3), the quadratic function opens downward, indicating that it has a maximum point.

To find the minimum or maximum value of the function, we can look at the vertex of the parabola. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function in the form \(ax^2 + bx + c\).

In our case, the quadratic function is f(x) = -3(x-4)(x-6), so the coefficient of \(x^2\) is -3, and there is no linear term (b = 0).

Using the formula x = -b / (2a):

x = -0 / (2*(-3))

x = 0

Substituting this x-coordinate back into the quadratic function, find the corresponding y-coordinate (minimum or maximum value).

f(0) = -3(0-4)(0-6)

f(0) = -3(-4)(-6)

f(0) = -3(24)

f(0) = -72

Hence, the quadratic function f(x) = -3(x-4)(x-6) has a maximum value of -72.

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Answer: 5x+17

Step-by-step explanation:

2x+14+3x+3= 5x+17

First, multiply 2 by x and 7, which will give you 2x+14 then add the plus sign right after the 14. then multiply 3 by x and by 1 to get 3x+1.

The inner integral is:Integral from 0 to 6√3 of r dz = 3√3 r2.

The middle integral is:Integral from 0 to 4 of 3√3 r2 dr = 64√3.

The outer integral is:Integral from 0 to 2π of 64√3 dθ = 128π√3. Thus, the volume is 128π√3.

(a) i) Triple Integral:The triple integral is a calculus integral that evaluates the volume of a three-dimensional object with respect to its x, y, and z components.

It is also known as the multiple integral of a function.

ii) Integrals are useful for many things, including calculating area, volume, and other geometric properties, as well as solving differential equations and other problems in calculus and physics.

(b) Given the region G, which is bounded by the cone z = 1x2 + y2 and above by the paraboloid z = 2 - x2 - y2,

set up a triple integral in cylindrical coordinates to find the volume of the region. To begin, we must first find the intersection of the two surfaces:

z = 1x2 + y2 and z = 2 - x2 - y2. 

Substituting one equation into the other:x2 + y2 = 2 - x2 - y2 2x2 + 2y2 = 2 x2 + y2 = 1. 

So, the intersection is a circle with a radius of

1. Thus, the bounds for r are from 0 to 1, and the bounds for θ are from 0 to 2π.

The bounds for z are from 1r2 to 2 - r2. Therefore, the integral in cylindrical coordinates is:Integral from 0 to 1 (integral from 0 to 2π (integral from r2 to 2 - r2 of 1dz) dθ) r dr c)

We must first find the intersection of the two surfaces. The intersection of the sphere x2 + y2 + z2 = 49 and the cone

z = 4./(x2 + y2) is the circle x2 + y2 = 16.

Therefore, the region of integration is a cylinder with a radius of 4 and a height of 2 sqrt(49 - 16) = 6 sqrt(3).

The integral is: ∫∫∫dV = ∫0^2π∫0^4∫0^(6√3) r dz dr dθHere, r is the distance from the z-axis to the point on the xy-plane, θ is the angle measured counterclockwise from the positive x-axis to the point on the xy-plane, and z is the distance from the xy-plane to the point on the sphere.

Using cylindrical coordinates, the integral becomes: ∫0^2π∫0^4∫0^(6√3) r dz dr dθ

The inner integral is:Integral from 0 to 6√3 of r dz = 3√3 r2.

The middle integral is:Integral from 0 to 4 of 3√3 r2 dr = 64√3.

The outer integral is:Integral from 0 to 2π of 64√3 dθ = 128π√3. Thus, the volume is 128π√3.

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Answer:

is there any more details?

Step-by-step explanation:

Answer:

any more details please?

The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

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Answer:9 /12 -4/12 = 5/12

Step-by-step explanation: First you need to find the same demointaor  which can be 12 .You take  3/4 and times on boths side by 3 which gives you 9/12 .You take 1/3 and times on both sides by 4 which gives you 4/12. Now put 9 /12 and then put  4/12 and then subtract both which gives you 5/12.

Look at pic below.

Answer:

16/52

8/26

4/13

As 13 cards are one suit or are hearts, and in that suit, there is one king, I just add 3 more cards for the other king cards as well and you get 16/52

Step-by-step explanation:

Answer:

Step-by-step explanation:

any triangle is half of a polygon of 4 sides

the area of a rectangle is height * base or length*width

and since the triangle is half a rectangle then Area=1/2 *b*h

Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.

In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.

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Global Analyst Research Settlements refer to the settlements of lawsuits against listed companies for influencing the independence of research analysts covering them, aiming to ensure unbiased analysis and transparency in the financial industry.

The term "Global Analyst Research Settlements" refers to option (c): the settlements of lawsuits against listed companies for their threats to influence the independence of research analysts covering them. It pertains to legal agreements reached between these companies and regulators or investors to address concerns regarding the impartiality and integrity of research analysis.



These settlements aim to ensure that research analysts can provide unbiased and objective assessments of the companies they cover, free from undue influence or pressure. Such agreements often involve measures to enhance transparency, avoid conflicts of interest, and safeguard the integrity of research analysis within the financial industry.

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