Find all points (x,y) on the curve x = 6t^2 +5, y = t^3 −7 where the tangent line to the curve has a slope of 1/2.

The Marissa's course average is 85.35%.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Attendance counts for ​5% of the​ grade,.

Quizzes count for ​20% of the​ grade.

Exams count for 60​% of the​ grade.

Final exam counts for ​15% of the grade.

So, Marissa's course average

= 0.05(100%) + 0.20 x 95% + 0.60 x 82% + 0.15 x 81%

= 5+ 19 + 49.2 + 12.15

= 85.35%

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Therefore , the solution of the given problem of fraction  comes out to be

height h = 3 meters.

Part of a whole is a fraction. The quantity is written as a quotient in mathematics, where the numerator and denominator are divided. Each is an integer in a simple fraction.

Here,

Given :

=> 48π m².

=> 5π meter and radius = 8/2 = 4 meter

=>π(4)(4)h =48π

=> 16πh = 48π

=> h = 3 meters

Whether  it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

Therefore , the solution of the given problem of fraction  comes out to be

height h = 3 meters.

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The probability that the two selected chips are of different colors is 15/32

From the question, we have the following parameters that can be used in our computation:

Blue = 5

Yellow = 3

This means that

Total = 5 + 3

Total = 8

The probability of different color is then calculated as

P(Different) = Yellow and Blue or Blue and Yellow

So, we have

P = 3/8 * 5/8 * 2

Evaluate

P = 30/64

Simplify

P = 15/32

Hence, the probability is 15/32

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Answer:

x = 16

Step-by-step explanation:

the measure of an arc has the same measure as the central angle that intercepts it , that is

3x + 49 = 97 ( subtract 49 from both sides )

3x = 48 ( divide both sides by 3 )

x = 16

In the triangular lattice below, there are an infinite number of equilateral triangles that have at least two of the points as vertices.

This is because the triangular lattice is made up of an infinite number of equilateral triangles of various sizes and orientations. Any two points in the lattice form the vertices of an equilateral triangle and any other point in the lattice can be used as the third vertex.

An equilateral triangle is a triangle in which all three sides are equal in length. It is also equiangular, meaning that all three angles are equal in measure. In the plane, all three vertices of an equilateral triangle can be connected to form a single closed figure. Equilateral triangles can also be used to form periodic patterns, such as the triangular lattice shown in the question.

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The following information, taking into account the union and intersection of the different elements given would be displayed in a Venn Diagram:

A Venn diagram for this information would have three circles, each representing one of the cable subscriptions (Cable Cinema, Cable Box Sets, Cable Sports).

The intersections of the circles would represent the customers who have more than one subscription.

The numbers inside the intersections represent the number of customers with that combination of subscriptions, and the numbers outside the intersections represent the number of customers with only that one subscription.

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Answer:

the second one. 2n = -4.

we can easily see that 2*(-2) = 4.

The solution of derivative function is , [tex]\frac{d}{dx} (k(\frac{d}{dx} (t))[/tex] = 0

Given that,

d/dx(k dt/dx) = 0

Geometrically, the derivative of a function can be interpreted as the slope of the graph of the function or, more precisely, as the slope of the tangent line at a point. Its calculation, in fact, derives from the slope formula for a straight line, except that a limiting process must be used for curves.

[tex]\frac{d}{dx} (k(\frac{d}{dx} )t[/tex] = 0      (Equation-1)

Then,

[tex]\frac{d}{dx} (t)[/tex] = 0

The derivative of a function is defined as the instantaneous rate of change of a function at a specific point. The derivative gives the exact slope along the curve at a specific point. The derivative of the function is represented as d y d x , which means the derivative of with respect to the variable .

We can substitute equation-1,

So,

We can write,

[tex]\frac{d}{dx} (k*0)[/tex] = 0

[tex]\frac{d}{dx} (0)[/tex] = 0

0 = 0

Therefore,

The solution of derivative function is , [tex]\frac{d}{dx} (k(\frac{d}{dx} (t))[/tex] = 0

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The value of i/S is 0.02.

Therefore the answer is 0.02.

Given the information, we can first find the value of e, using the equation a = l + e, where l/a = 0.20 and a = 100:

e = a - (l/a) * a = 100 - (0.20 * 100) = 100 - 20 = 80

Next, we can find the value of i using the given information i/e = 0.10:

i = i/e * e = 0.10 * 80 = 8

Finally, we can find the value of i/S using the equation i/S = i / (S/a) * a = 8 / (4 * 100) = 8 / 400 = 0.02.

So, the value of i/S is 0.02.

--The question is incomplete, answering to the question below--

"S/a = 4; l/a = 0.20; i/e = 0.10; a = l + e and a = 100. find i/S."

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The shaded region is given in the attached image below.

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

Given:

We have a system of inequalities,

-x + 5y ≤ 10,

3x - 4y ≤ 1

and x > -1.

The shaded region is given in the attached image.

Therefore, the shaded region is given.

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Step-by-step explanation: Two lines are parallel if and only if their slopes are equal.

The slope of a line can be found by taking the coefficient of the x term in the equation of the line.

m: 11x - 33 has a slope of 11

n: 6x - 6 has a slope of 6

For two lines to be parallel, the slope of line "m" should be equal to the slope of line "n",

so we can set up the equation :

11 = 6x

To find the value of x that makes m || n, we can solve this equation for x:

x = 11/6 = 1.833

So the value of x that makes lines m and n parallel is 1.833.

Answer:

20-15-60 is the answer to the question

Answer:

300

Step-by-step explanation:

1.5*200 = 300

Cool.

Answer: 0.068

Step-by-step explanation:

i used a calculator so I think it's right

Any combination of a, b, and c such that a*b*c = 0 is valid and satisfies the equation.

To calculate this, Let u = a, v = b, and w = c. Then, since uvw = 0, we have:

a*b*c = 0

Since the equation is asking us to find a, b, and c that satisfy the equation, this means that any combination of a, b, and c such that a*b*c = 0 is a valid solution.

For example, a = 0, b = 1, and c = 0 is a valid solution as 0*1*0 = 0. Similarly, a = 3, b = -2, and c = 0 is also a valid solution as 3*-2*0 = 0.

Thus, any combination of a, b, and c such that a*b*c = 0 is valid and satisfies the equation.

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In order to analyze gender differences in ACT performance, you would calculate the frequency of ACT scores for each gender, as well as the total frequency of ACT scores. So, you would calculate C: frequencies.

This would give you a count of the number of males and females who scored less than 20, 20 up to 25, and 25 and more on the ACT. With this information, you can compare the distribution of ACT scores between males and females, and determine if there are any significant differences in performance between the two groups. This information is commonly represented in a frequency table, which displays the number of observations (or count) for each category of a variable.

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The height of the the building is 95.5 feet.

As per the given data:

A building casts a 103-foot shadow.

At the same time, a 32-foot flagpole casts a 34.5-foot shadow.

Diagrams of both the building and flagpole are attached at the end of the solution.

Here we have to determine the height of the building.

From the above figure, in Δ ABC, AB shows the height of the building and BC shows its shadow length. In ΔDEF, DE shows the height of the flagpole and EF shows its shadow length.

In ΔABC

[tex]$ \tan \theta=\frac{A B}{B C} \\[/tex]

[tex]$& \tan \theta=\frac{A B}{103}[/tex]

In ΔDEF

[tex]$& \tan \theta=\frac{D E}{E F} \\[/tex]

[tex]$\tan \theta=\frac{32}{34.5}[/tex]

At the same time, the angle of elevation of the sun is the same at all the places.

Therefore

[tex]$& \tan \theta=\tan \theta \\[/tex]

[tex]$& \frac{A B}{103}=\frac{32}{34.5} \\[/tex]

[tex]$& AB = \frac{32 \times 103}{34.5} \\[/tex]

A B = 95.5 foot

Therefore, the height of the building will be 95.5 feet.

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Rectangle EFGH is assumed, the value of x and m<EIH is 102 degree

Rectangle EFGH is assumed. Each side of a rectangle has an equal length. Each side of a rectangle has an equal length.

FH- =7x-2,

EI-20, and

mZIFG=39°,

Length width equals the area of a rectangle. Therefore, breadth is equal to the product of the area and the length, which is either 20 units or 39 square units.

You need to know a box's height, breadth, and depth in order to determine its volume. These three dimensions may be multiplied to determine the volume.

if < f = 39 degree

so

<G = 39 degree

then

<FIG = 39 + 39 + x = 180 degree

180 - 78 = 102 degree

so <FIG = <EIH

The value of x and m<EIH is 102 degree

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Answer:

x = 6

Step-by-step explanation:

4x = 24

x = 6

Let's check

4(6) = 24

24 = 24

So, x = 6 is the correct answer.

Step-by-step explanation:

g(x) is f(x) shifted up by 2 units.

that is simply expressed as

g(x) = f(x) + 2

h(x) if f(x) shifted left by 1 unit.

that is trickier.

h(x) = f(x + 1)

why ?

every result that f(x) had at x+1, is now happening for h(x) at x ("earlier", shifted to the left). so, the function result for f(x+1) is the function result for h(x).

and therefore,

h(x) = f(x + 1)

FYI

a shift to the right by 1 unit would be

i(x) = f(x - 1)

for the same reasons as for the shift to the left, just in the other direction.

One of Porter's three generic strategies and three of the five forces, such as the function bargaining power of suppliers, the threat of substitutes, and competitive rivalry, can be used to achieve this.

A tool used to find company areas where value can be created or cost savings can be realised is Porter's Value Chain Analysis. This tool can be used by businesses to examine their internal processes and find possible areas of competitive advantage. This can be achieved by identifying the various value chain steps and examining each level to find areas for cost savings. In order to comprehend the competitive environment in which the organisation operates and to pinpoint potential sources of competitive advantage, Porter's 3 Generic Strategies and 5 Forces can also be used. A corporation can find possible areas of competitive advantage by, for instance, examining the Bargaining Power of Suppliers, Threat of Substitutes, and Competitive Rivalry. Using these instruments, a business can create value.

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Answer: yes

2x^2yx(x^2+2y)

Step-by-step explanation:

2x^4y+4x^2y^2

2x^2yx(x^2+2y)

The number of regular employees that got a phone is 39

The number of executive employees that got a phone is 1

Let x represent the number of regular employees

Let y represent the number of executive employees

x + y= 40.......equation 1

50x + 250y= 4000...........equation 2

From equation 1

x= 40-y

Substitute 40-y for x in equation 2

50(40-y) + 250y= 4000

2000- 50y + 250y= 4000

2000 + 2000y= 4000

2000y= 4000-2000

2000y= 2000

y = 1

Substitute 1 for y in equation 1

x + y= 40

x + 1= 40

x= 40-1

x= 39

Hence there are 39 regular employees that got a phone and 1 executive employee that got a phone.

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The line in coordinate form passing through the point (−4,−6,6) in the direction is x - y - z + 4 = 0

The term called coordinates in math is called a system that uses one or more numbers, or coordinates and it is uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Here we have the line in coordinate form passing through the point (−4,−6,6) in the direction.

As we all know that the equation of line through the point (-4, -6, 6) is written as,

=> ( x - (-4)) = (y - (-6))  = (z - 6)

When we simplify this one then we get,

=> x + 4 = y + 6 = x - 6

=> x - y - z + 4 - 6 + 6

=> x - y - z + 4 = 0

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Yes, each vector in be written as a linear combination of the columns of the matrix a , only if columns of a are linearly independent.

by the above statement , the column of a does not span.

linearly independent

Given a set of vectors, you can determine if they are linearly independent by writing the vectors as the columns of the matrix A, and solving Ax = 0. If there are any non-zero solutions, then the vectors are linearly dependent. If the only solution is x = 0, then they are linearly independent.

non- zero solution

A solution of a set of homogeneous linear equations in which at least one of the variables has a value different from zero.

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The annual interest rate of the deposit is 1.5% per annum.

Borrowers must pay lenders simple interest as a fee in exchange for a loan. Compound interest is excluded from the calculation and just the original principal is used. Simple interest applies to all loans, not just specific ones. Additionally, it is the kind of interest that banks give their customers on their savings accounts.

Given amount deposit = $500

interest earned in 8 years = $60

time = 8 years

simple interest is given by,

SI = (Prt)/100

P = principle = $500

r = rate per annum

t = time = 8 years

60 = (500*8*r)/100

60*100 = 4000r

r = 6000/4000

r = 1.5% per annum

Hence rate is 1.5% per annum.

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I. f(x) = -2x + 2 is graphed at the right.

Answer: See the explanation Below

Step-by-step explanation:

The problem with the frequency table in the problem occurs within the "number of pets" column. Instead of recording the numbers 0-5 one time, Katie gave a row for every occurrence of each number. However, this defeats the purpose of having a tally column, which is much more efficient.

A better data table would look like the one I have attached to the problem.

For some additional help:

The tally column is filling in the number of times we see each number in the responses. For instance, 0 is given as an answer 3 times, so in the 0 tally box, you would write 3 tally marks.

The frequency table is found by dividing the number of that specific response by the total number of responses. For 0, we have 3 responses and 13 responses total. 3/13 = 0.23, which becomes the frequency. In the end, the totals for the frequency column should equal 1.

I hope this helps!  

The formula for the volume of a cone is:

V = (1/3)πr^2 x h

Where V is the volume, π is approximately 3.14, r is the radius, and h is the height of the cone.

We know that the volume of the cone is 102 cm^3 and the radius of the cone is 4.96 cm. So we can substitute these values into the formula:

102 = (1/3)π(4.96)^2 x h

To estimate height of the cone we need to divide both sides of the equation by (1/3)π(4.96)^2.

h = 3.959207...

So, the height of the cone is approximately 3.96 cm.

The sign of the derivative of a function at a certain point indicates the nature of the function's change at that point.

If the derivative is positive at a point, the function is increasing at that point. If the derivative is negative at a point, the function is decreasing at that point. If the derivative is undefined at a point, there may be a sharp turn or a discontinuity at that point.

Here's a more specific method to determine the sign of the derivative at a point:

It's also possible to determine the sign of the derivative by analyzing the graph of the function, or by using calculus theorems such as the First Derivative Test or the Second Derivative Test.

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