For the curve y=x^4+1, find the gradient of the secant between the point (1, 2) and
the point where x=1.01.

Answers

Answer 1

Answer:

4.06.

Step-by-step explanation:

Where x = 1.01,  y = (1.01)^4 + 1 = 1.0406 + 1

= 2.0406

So the gradient between (1, 2) and (1.01, 2.0406)

= (2.0406 - 1)/(1.01 - 1)

= 4.06.


Related Questions

A random number, x, is generated, where x is any real number.

(a) Manuel adds 2 to x. He subtracts x from 10. Manuel then multiplies these two results to give his number, y.

Show that y = 20 + 8x - x?.​

Answers

Step-by-step explanation:

Say that x = 1, since x can be any real number.

From part a -> x +2 = 3

and -> 10-x =9

then multiply the two results to get y -> 3x9 = 27

Now look at y=20+8x-x and plug in the same value for x where x = 1

you get -> y = 20 + 8(1) -(1) which simplifies out to 27. Therefore the equation is proven since they equal the same value.

Sassan finds that 2 pints 1 cup of water has evaporated from the class aquarium. How many pints of water are left in the aquarium

Answers

The pints of  water left in the aquarium is  2.5 pints

Converting cups to pint

Using the conversion rule sho below:

1 cup  = 0.5 pint

If Sassan finds that 2 pints 1 cup of water have evaporated from the class aquarium, the total pint that evaporated is expressed as:

Total pint =  2  pints + 0.5 pint

Total pint =  2.5 pints

Hence the pints of  water left in the aquarium is  2.5 pints

Learn more on pints and cups here: https://brainly.com/question/26941359

calculate the value of (6.9*10^-3)*(2*10^9) give your answer in standard form

Answers

That is a very good answer I think it’s ur mom

pls help due today math​

Answers

Answer:

x = 4

y = 8

Steps are given, below in the picture

I hope my answer helps you.

Step-by-step explanation:

Use trigonometric ratios to get one of the missing sides. Once you have that side you can use the theorem of pythagoras or you can use a trig ratio to get the remaining side.

SOH CAH TOA

Hi please help with an explanation as well, I’ll reward branliest

Answers

Answer:

Perimeter of base: 40 :)

10 + 10 + 10 + 10 = 40

Slant height: 13

(it gives us this information) :)

Area of base: 100

10^2 = 100

Surface area: 65000

(1/2)(100 x 13)

1/2(1300)

650

Have an amazing day!!

Please rate and mark brainliest!!!

Answer and Explanation:

1) The perimeter is the sum of the base's side lengths, so it is:

P = 10 ft * 4 = 40 ft

2) The height can be calculated using the Pythagorean Theorem. Take half of the base's side length for the short leg (5 ft) and the slant height (13 ft) for the hyptenuse:

5^2 + h^2 = 13^2

25 + h^2 = 169

h^2 = 144

h = 12 ft

3) To find the lateral area, take the area of one of the triangular faces of the pyramid and multiply it by 4, since there are 4 triangular faces:

LA = 4 * (1/2)(10 * 13)

= 4 * 65

= 260 ft

4) The area of the base is the product of its dimensions:

A(base) = 10 * 10

= 100 ft^2

5) Surface area is the sum of the lateral area and the base's area, so just plug in the values from problems 3 and 4:

SA = LA + A(base)

= 260 + 100

= 360 ft^2

The question inside the picture

Thank you so much :)

Answers

Answer:

The average number of hours studying per pound of the book bag

Step-by-step explanation:

Which of the following situations best completes the following statement:

When subtracting an integer is the same as _____.

multiplying its opposite
subtracting its opposite
adding its opposite
dividing its opposite

Answers

Answer:

The answer would be adding its opposite.

Answer:

its subtracting its opposite

Step-by-step explanation:

Can the following set be the domain of an odd function?
(-3,-2)U(2,3)

Answers

Yes, the given set can be the domain of an odd function if:

f(-3) = -f(3)

f(-2) = -f(2).

What is the domain of a function?

For a function y = f(x), we define the domain of the function as the set of possible values of x that we can input into the function.

And an odd function is a function such that:

f(-x) = -f(x).

In this case, we want to see if the set:

(-3,-2)U(2,3) = (-3, -2, 2, 3)

can be the domain.

It would only be the domain of an odd function if:

f(-3) = -f(3)

f(-2) = -f(2).

If you want to learn more about odd functions, you can read:

https://brainly.com/question/1561362

Match the following, cylinder rectangular prism cone triangular prism square prism

Answers

Surface Area of following shapes

Cylinder = 2πrh + 2πr²

where "h" - height, "r" - radius

Rectangular Prism = 2lw + 2lh + 2wh    also      2B + Ph

"l" - length, "w" - width, "h" - height

Cone = πrl + πr²

"l" - slant height, "r" - radius

Triangular Prism = 2B + Ph

"B" - area of one base, "P" - perimeter of base, "h" - height

Square Pyramid = 2l l + l²

"l " is height, "l" is side length

You randomly choose one Marble from the jar find the favorable outcome of the event
There are 6 blue marbles
4 red marbles and 2 green marbles
1. Choosing a blue marble
2.Not choosing a red marble

(Don’t mind the erased work it was a mistake I made)

Answers

Answer:

50% of blue

33.3333...% for not choosing red

The nth term of a different arithmetic sequence is 3n + 5
(b) Is 108 a term of this sequence? Show how you get your answer.

Answers

Answer:

No 108 is not a term of this sequence.

Step-by-step explanation:

3n+5 = 108

3n = 108 - 5

3n = 103

Divide both side with 3.

n = 103/3

n = 34.33

since n is not equal to 108 there it is not

Answer:

see below

Step-by-step explanation:

We can determine if 108 is a solution by setting 3n+5 =108

3n+5= 108

Subtract 5 from each side

3n+5-5=108-5

3n = 103

Divide by 3

3n/3 = 103/3

n = 103/3

This is not an integer so 108 is not a solutions

What is the greatest common factor of 6x^2+18x-36

Answers

Answer:

6

Step-by-step explanation:

the gretest common factor would be 6 because you can divide 6,18,and -36 by 6

Edwin sells jars of jam for $1.20 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $0.80 and fixed expenses are $42,500.00 per year. (2 points)

17,000

21,250

98,170

106,250
2.
(05.01 MC)

Haven Baskets manufactures 61,755 woven baskets each year. Determine the minimum sales price Haven Baskets must sell each basket for to break even, if the total annual fixed costs are $562,795.00 and the variable cost per basket is $15.25. (2 points)

$22.90

$24.36

$29.97

$33.25
3.
(05.01 LC)

Jaslyn makes 443 wooden frames per month. Calculate her monthly profit if she sells each frame for $28.99, has fixed monthly expenses of $3,692.00, and has variable expenses of $9.15 per frame. (2 points)

$4,876.50

$5,097.12

$5,124.56

$5,190.87
4.
(05.01 MC)

Luca owns a pool cleaning business. Luca wants to have a monthly profit of $6,135.00 with 45 customers, fixed monthly expenses of $2,345.00, and variable expenses of $16.90 per pool. Determine how much Luca needs to charge per customer to reach his profit goal. (2 points)

$154.32

$175.89

$199.87

$205.34
5.
(05.01 LC)

Rafi Smiles produces custom greeting cards. The company has fixed monthly expenses of $5,750.00 and variable expenses of $0.80 for each card they make. Determine the company's ROI if they are able to make 4,175 cards per month and charge $4.50 per card. Round the final answer to the nearest hundredth. (2 points)

94.00%

94.01%

106.36%

106.68%

Answers

The number of jars of jam that has to be sold in order to break even is 106,250.

The minimum sales price is $24.36.

The monthly profit is $5,097.12.

The price per customer is $205.34.

The ROI is 106.68%.

What is the breakeven point?

Breakeven quantity = fixed cost / price – variable cost per unit

$42500 / (1.2 - 0.8) = 106,250

What is the minimum sales price?

Minimum price = (fixed cost / breakeven sales) + variable cost

($562,795.00 / 61,755) + $15.25 = $24.36

What is the profit?

Profit = revenue - total cost

Revenue = 443 x 28.99 = $12,842.57

Total cost = $3692 + (9.15 x 443) = $7,745.45

Profit = $12,842.57 - $7,745.45 = $5097.12

What is the price?

Price = (profit +  total cost) / number of customers

Total cost = $2,345 + (16.90 x 45) = $3,105.50

($6,135.00 - 3105.50) / 45 = $205.34

What is the ROI?

ROI = (profit / cost of the investment) x 100

Cost = fixed cost + variable cost

$5,750 + (0.80 x 4175) = $9090

Profit = total revenue - cost

(4.5 x 4175) - 9090 = $9,697.50

ROI = $9,697.50 /  $9090 = 106.68%

To learn more about profit, please check: https://brainly.com/question/26181966

pls help me dont bot me

Answers

Answer:

c

Step-by-step explanation:

What is the volume of this cube?

Answers

Answer: 1 inc^3

Step-by-step explanation:

V = A^3

Where a = side

V = 1 ^3

V = 1 inch^3

Or in meteres it is 1.6387064e-5

Step-by-step explanation:

HOPE THIS HELPS IF NOT SORRYYYY !!!!!

Please help MATH!!!!!?

Answers

Answer:

A, C

Step-by-step explanation:

Find x:

A)3

B)2.5

C)4

D)7.5

Answers

Answer:

D

Step-by-step explanation:

Because I said so ho3

Ver en español
What is the surface area of this cone?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

395.64 sq. mm

hope it helps...!!!

HELP PLSSS - WILL MARK BRAINLIEST

Select the correct answer

which situation is best modeled by a nonlinear function with time as the independent variable?

A. The value of a gift card that decreases by three dollars each month

B. The value of a $20 bill

C. The value of a collectible baseball card that increases by constant factor of 1.1, or by 10%, each year

D. The value of an investment that increases by two dollars each week

Answers

Answer: Most likely it is A

Step-by-step explanation:

Although it should be B, because a non linear function doesn't  have a rate of change. I already looked up this question many times so we know It's NOT C.

The best modeled by a nonlinear function with time as the independent variable is:

The value of a collectible baseball card that increases by a constant factor of 1.1, or by 10%, each year.

A nonlinear function is one that does not follow a straight line.

In this case, t

A) describes a linear function since the value of the gift card decreases by a fixed amount each month, resulting in a straight-line relationship.

B) describes a constant value, which is a special case of a linear function where there is no change over time.

C) The value of the collectible baseball card increases by a constant factor of 1.1 each year, which results in exponential growth. This behavior is best modeled by a nonlinear function.

D) describes a linear function since the value of the investment increases by a fixed amount each week, resulting in a straight-line relationship.

Learn more about  nonlinear function here:

https://brainly.com/question/5758609

#SPJ2

A rectangle measures 2
2
_
3
inches by 1
5
_
9
inches. What is its area?

Answers

Answer:

40/25 or 1.481

Step-by-step explanation:

I dont know if its right but the multiplication give me this fraction or this decimal. Hope it helps :)

Solve 2x+4> 16.
O A. X> 10
B. x <10
C. x< 6
O
D. X>6

Answers

Answer:

D

Step-by-step explanation:

First subtract 4 from both sides and divde both sides by 2.

Solution:

=2x+4>16

=2x+4-4>16-4

=2x>12

=2x÷2>12÷2

=x>6

The equation is C=35+4n.
If C= 500 what would N be? Please I really need the answer

Answers

Answer:

116.25 or [tex]\frac{465}{4}[/tex]

Step by Step Explanation;

500=35+4n

Subtract 35 from both sides

465=4n

[tex]\frac{465}{4}=n[/tex]

[tex]116.25=n[/tex]

Hope This Helps! :) Please Mark as Brainliest!

C=35+4n, if C=500 what would N be?
n=116.25

help pls
just say what option

Answers

Answer:

D .the formation in the graph shows a positive non linear correlation, the weight of the dinosaur trends to increase according to its length.

hope this helps you :)

The information on the graph shows a positive nonlinear correlation and the weight of the dinosaur tends to increase according to its length.

What is a discrete graph?

A discrete graph is also known as a scatter plot that shows the discontinuous and the nonlinear data point on the graph.

From the graph, we can see the increasing weight of the Dinosaur size vertical y-axis and the increasing length of the feet on the horizontal x-axis.

Therefore, we can conclude that the data points show an increasing nonlinear weight on the graph as the length increases.

Learn more about discrete graphs here:

https://brainly.com/question/11896946

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help please find x and y, 10 points and brainliest to best answer

Answers

Answer:

y =8

x=80

Step-by-step explanation:

5y-10=3y+6

5y-3y=6+10

2y =16

y=8

x+30+x-10=180

2x+20=180

2x=160

x=80

i dont know how to do this stuff

Answers

I don't know how to do this stuff

Find the H.C.F and L.C.M. of the following.
(a)336,22,4

Answers

Answer:

hcf=2 lcm=3696

Step-by-step explanation:


Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range
y = x + 2x - 5

Answers

Answer:

d. D: allreal numbers

R: y>= -6

Step-by-step explanation:

You are allowed to use a graphing calculator to see the graph. See image.

This curve is a parabola. Upward and downward opening parabolas have a domain of all real numbers. Any x can be found on the graph and/or any x can be used in the equation without limit. That's "all real numbers"

See the graph does not exist below -6. Range is all the y's on the graph and/or all the possible y's the equation will spit out. Here we can clearly see the graph only exists from -6 and up. Range is y>= -6.

If LOVE is a square with LO = 2x + 3 and OV = 9, what is the value of x?

Answers

Answer:

3

Step-by-step explanation:

2x+3=9

You have to get rid of the 3 and the operation that is happening between the 2x and 3 is addition so you must do the opposite which is subtract .

2x+3-3=9-3

Cross out the 3's . What you do to one side do it to the other side .So subtract 3 from both sides .

2x÷2=6÷2

Now to get rid of the 2 you divide because the operation that is happening between the 2 and x is multiplication.And what u do to one side do it to the other . So

x= 3

Hope this helps and sorry if you don't under the explanation

Step-by-step explanation:

LO = 2x + 3 and OV = 9,

9=2x+3

9-3=2x

6=2x

6/2=x

x=3


Which of the following is the graph of
y = |x – 1 – 4?

Answers

The answer is C. Sends

Of 600 people surveyed, 220 were male and 350 had cell phones. Of those with cell phones, 230 were female. What is the probability that a person surveyed was either male or had a cell phone?
A)100/600 ≈ 0.167
B)480/600 = 0.8
C)340/600 ≈ 0.567
D)450/600 = 0.75

Answers

By definition of probability, the probability that a person surveyed was either male or had a cell phone is [tex]\frac{450}{600}[/tex]= 0.75

Definition of Probabitity

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

Union of events

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

The intersection of events, A ∩ B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A ∩ B is verified when A and B occur simultaneously.

Probability that a person surveyed was either male or had a cell phone

In first place, let's define the following events:

M: the person surveyed was male.C: the person surveyed had a cell phone.

The probability that a person surveyed was either male or had a cell phone is calculated as:

P(M∪C)= P(M) + P(C) -P(M∩C)

In this case, you know:

P(M)= [tex]\frac{220}{600}[/tex]P(C)= [tex]\frac{350}{600}[/tex]P(M∩C)= [tex]\frac{120}{600}[/tex] (Of the 350 people who have cell phones, 230 are female. This means the remaining 120 people with cell phones are male.)

Replacing in the definition of probability:

P(M∪C)= [tex]\frac{220}{600}[/tex] + [tex]\frac{350}{600}[/tex] - [tex]\frac{120}{600}[/tex]

Solving:

P(M∪C)= [tex]\frac{220+350 -120}{600}[/tex]

P(M∪C)= [tex]\frac{450}{600}[/tex]= 0.75

Finally, the probability that a person surveyed was either male or had a cell phone is [tex]\frac{450}{600}[/tex]= 0.75

Learn more about probability:

brainly.com/question/25839839

brainly.com/question/26038361

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