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length of cello tape is lm 60cm
85 cm is used form it how
much is left on the roll​

The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,

To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.

First, we find the first derivative of y = 8e^x with respect to x:

dy/dx = 8e^x

Then, we differentiate again to find the second derivative:

d²y/dx² = d(8e^x)/dx = 8e^x

Setting the second derivative equal to zero:

8e^x = 0

Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.

However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.    

In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.  

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The proportion that  could be use to find the value of x is option D which is 11x=x11−3

To discover the value of x within the given scenario, we got to set up a proportion based on the lengths given. Let's analyze the options given:

A. 311 = x11

B. 3x = x11

C. 3 11x = 3x

D. 11x = x11 - 3

Among the choices, the correct proportion can be set up as takes after:

option D.D: 11x = x11 - 3

The length of 2 part divided by the line on the hypotenuse is 3 and 11

Able to speak to the length of the line on the hypotenuse as x.

In this way, the right proportion would be 11x = x11 - 3.

This proportion states that the item of the length 11 and x (the length of the line on the hypotenuse) is break even with to the contrast between the item of x and 11 and the number 3.

In this manner, option D speaks to the proportion that can be utilized to discover the esteem

of x within the given situation.

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Step-by-step explanation:

3x-6+8x-2

11x-8........

Answer:

y-intercept: 11

which means the baby weighs 11 lb when it is born (t=0).

Step-by-step explanation:

Answer:

9/14

The answer to this question is 9/14.

Answer:

CD = AC

Step-by-step explanation:

CD = AC.  "bisect" means "to divide in half."  Half of AD is either AC or BC, which are equal to each other.

Answer:

B) SAS

Step-by-step explanation:

there are 2 sides equal and one angle

Answer:

4.1x + 29

Step-by-step explanation:

So the perimeter would be the sum of all of the sides, so:

\(2.3x + 14 + 2x - 0.2x + 15\\= 4.1x + 29\)

Answer: 4.5x+ 29 which is 3, so 3 is correct.

Step-by-step explanation:

P = a+b+c

First do the ordered pairs ( add the numbers with the x to the end, then add the other numbers with no x's)

It is more unusual to have a day with a high temperature of 55 F. A high temerature of 55 F in July is 2.2 std deviation below the mean and a high temperature of 55 F in January is only 1.889 std deviation above the mean.

Which month is more unusual to have a day with a high temperature?

Here z score =(X-mean)/std deviation

Therefore for temperature 55 F ; zscore for January =(55-38)/9=1.889

And for temperature 55 F ; zscore for July =(55-77)/10=-2.2

As z score reflect that 55 F is farthest from the mean of July in terms of std deviation

It is more unusual to have a day with a high temperature of 55 F. A high temperature of 55 F in July is a 2.2 std deviation below the mean, and a high temperature of 55 F in January is only a 1.889 std deviation above the mean.

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The required, Susan's mom deposited a principal amount of $900 in the account to start with.

The formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

In the given case, we have:

A = $3,236.52

r = 0.08 (8% expressed as a decimal)

n = 365 (daily compounding)

t = 16 years

We want to solve for P. Rearranging the formula, we have:

\(P = A / (1 + r/n)^{(nt)}\\P = $3,236.52 / (1 + 0.08/365)^{(365*16)}\)

P ≈ $900

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1. AUB = {a, b, d, e}

2. AUC = {a, b, d, e}

3. BUC = {a, b, d, e}

In each case, the union includes the elements shared between the sets and the unique elements from each set, without repetitions.

To determine the union of the given subsets, we need to combine all the elements without repetition. Let's analyze each case:

1. AUB:

The set A contains the elements {a, b, d}, and the set B contains the elements {b, d, e}. By combining both sets, we obtain the union AUB = {a, b, d, e}. This is the collection of all the elements that appear in either A or B, without duplicates.

2. AUC:

The set A contains the elements {a, b, d}, and the set C contains the elements {a, b, e}. By combining both sets, we obtain the union AUC = {a, b, d, e}. Once again, this set includes all the elements that appear in either A or C, without repetition.

3. BUC:

The set B contains the elements {b, d, e}, and the set C contains the elements {a, b, e}. By combining both sets, we obtain the union BUC = {a, b, d, e}. Similarly, this set represents all the elements that appear in either B or C, without duplicates.

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The solution set of Ax= b is the set of all vectors of the form w =p+ vh, where vh is any solution of the equation Ax = 0 - False.

A vector is a quantity in mathematics that has both magnitude (or length) and direction. It is stated as an ordered list of integers enclosed in brackets.

A mathematical statement that claims the equality of two expressions is known as an equation. It usually has two sides with an equal sign between them. Variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division can be used in the formulations on either side of the equal sign. An equation's solution is the variable value or values that make the equation true.

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Answer:

-30c

Step-by-step explanation:

now:-25

noon - 10pm +10 (got 10c hotter)

-25c-10=-35c(opposite of rise)

midnight - noon: -5c

so do the opposite which is +5

-35+5=-30c

Answer:

See explanation

Step-by-step explanation:

We can see that the sequence is 90, 86,82,.......

The common difference is  86 - 90 = -4

                                             82 - 86 = -4

Hence the sequence is arithmetic

The function is;

t(n) = 90 + (n - 1)(-4) = 90 + 4 - 4n

t(n) = 94 - 4n

Since it is AP, we have the sequence as;

90, 86, 82, 78, 74, 70, 66, 62......

He will no longer play football after the eighth quiz.

The total points earned is the sum of the first eight terms of the AP

Sn =n/2[2a + (n - 1) d]

Sn = 8/2[2(90) + (8 - 1) (-4)]

Sn = 608 points

For y = x^2 - 7x, with x = 6 and Δx = 0.5, both Δy (change in y) and dy (instantaneous change in y) are equal to 2.5.

For the given function y = x^2 - 7x, with x = 6 and Δx = 0.5, we compute Δy and dy.

Δy represents the change in y when x is incremented by Δx. By substituting the given values into the formula Δy = 2xΔx + Δx^2 - 7Δx, we find Δy = 2 * 6 * 0.5 + 0.5^2 - 7 * 0.5 = 2.5.

This means that when x increases by Δx, y increases by Δy, resulting in a change of 2.5. On the other hand, dy represents the instantaneous change in y when x is increased by dx.

By evaluating dy = f'(x) * dx using the derivative of the function, dy = (2x - 7) * dx = (2 * 6 - 7) * 0.5 = 2.5. Therefore, both Δy and dy are equal to 2.5, indicating the same change in y with different interpretations.

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Using concept of linear inequality, number of least deliveries is 30 and value of freight is $60000.

What are linear inequalities?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

e.g. y>x+2

Now,

Given charge of $70 per delivery and A charge of 6.5% of the total value of the freight for each delivery and least amount is $102,000.

Let only one delivery is possible per day and no. of deliveries=n

amount of each freight=x

Therefore,

Linear inequality will be n(6.5/100**x+70)>102000

So least values of n and x will be

n=30 and x=$60000

Hence,

          number of least deliveries is 30 and value of freight is $60000.

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Therefore, the radius of the container is approximately 5 centimeters.

Volume is a measure of the amount of space that a substance or object occupies in three-dimensional space. It is commonly expressed in units of cubic meters (m³) or cubic centimeters (cm³), although other units, such as liters (L) and gallons (gal), are also frequently used. The volume of an object or substance can be calculated by measuring its length, width, and height and multiplying these dimensions together. In some cases, volume can also be determined by displacement, as in the case of measuring the volume of a liquid by the amount of space it displaces when poured into a container.

by the question.

The volume of a cylindrical container is given by the formula:

V = πr²h

where V is the volume, r is the radius, and h is the height.

We are given that the volume is 314 cubic centimeters, and the height is 4 centimeters. Substituting these values into the formula, we get:

314 = πr² (4)

Simplifying, we get:

78.5 = πr²

Dividing both sides by π, we get:

r² ≈ 25

Taking the square root of both sides, we get:

r ≈ 5

Rounding this to the nearest whole number, we get:

r = 5

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Brenna is buying 15 tomato plants for her garden, because she uses a lot of cherry tomatoes when she cooks. The inequality models the this story is equals to c< 7. So, correct option is option (b). The graph for inequlity to model the story is present in above figure.

Inequality refers a relationship between two values that are not equal, i.e., a<b. We have, brenna bought 15 tomato plants for her garden. At a time of cooking , she used a lot of cherry tomatoes. So, she wants a variety of tomato plants. She has decided to buy fewer than 7 cherry tomato plants for garden. Let c be the number of cherry tomato plants bought by brenna. Now, as we know cherry tomato plants come into the tomato plants, so c< 15 . Also, she plans to buy cherry plants less than 7, so c < 7. That is we have to choices for inequlity, c < 15 or c< 7. But we know if a number is less than 7 then trivially, it is less than 15 ( 7< 15), so we use the c< 7, Inequality to model the story. The graph of this inequlity that models the story is present above in figure. Hence, required inequalty is c< 7.

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Complete question:

Brenna is buying 15 tomato plants for her garden. she uses a lot of cherry tomatoes when she cooks, but she wants a variety of tomato plants. brenna plans to buy fewer than 7 cherry tomato plants. let c represent the number of cherry tomato plants brenna might buy. which inequality models the story?

a) c> 7

b) c< 7

c) c>15

d) c<15

See the above Graph and find out the inequality that models the story. To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Answer:

$27.50

Step-by-step explanation:

If the sales tax rate is 10%, then Ariana will pay 10% of the price of the cowboy hat as tax.

To calculate the amount of tax Ariana will pay:

First, we need to calculate the amount of the tax by multiplying the price of the cowboy hat by the sales tax rate: 0.10 x $25 = $2.50

So, the amount of tax that Ariana will pay is $2.50.

Therefore, Ariana will pay $2.50 in tax when she buys the cowboy hat priced at $25. Her total cost will be $25 + $2.50 = $27.50.

Answer:

2.50$

Step-by-step explanation:

Hope that helps ✌

the police officer should expect to pull over approximately 4 drivers until she finds a driver who is not texting while driving.

What is Probability?

Probability refers to the measure of the likelihood or chance of an event occurring. It quantifies the uncertainty associated with an event or outcome and is expressed as a value between 0 and 1. A probability of 0 indicates an impossible event, while a probability of 1 represents a certain event.

To find the number of people a police officer should expect to pull over until she finds a driver not texting while driving, we can use the concept of probabilities.

The probability of a driver not texting while driving is given by (100% - 52%) = 48%.

Now, let's calculate the probability of encountering a driver who is texting while driving for different numbers of drivers pulled over:

For the first driver pulled over, the probability of encountering a driver who is texting while driving is 52% or 0.52.

For the second driver pulled over, the probability of both the first and second drivers texting while driving is 0.52 * 0.52 = 0.2704, and the probability of the second driver not texting while driving is (1 - 0.52) = 0.48.

For the third driver pulled over, the probability of all three drivers texting while driving is 0.52 * 0.52 * 0.52 = 0.140608, and the probability of the third driver not texting while driving is (1 - 0.52) = 0.48.

Continuing this pattern, we can calculate the probabilities for the fourth and fifth drivers.

Therefore, the police officer should expect to pull over approximately 4 drivers until she finds a driver who is not texting while driving.

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Complete Qustion:

It is estimated that 52% of drivers text while driving. How many people should a police officer expect to pull over until she finds a driver not texting while driving? Consider each driver independently.

Answer:

The numerical value of the circumference is greater than the numerical value of the area.

Step-by-step explanation:

This has already been answered

The numerical value of the circumference is less than the numerical value of the area.

For a circle of radius R, remember that the diameter is twice the radius, we have:

area = pi*R^2

And the circumference is:

C = 2*pi*R

In this case, we have:

D = 6m

R = 6m/2 = 3m

The circumference is:

C = 2*3.14*3m = 18.84m

And the area:

A = 3.14*(3m)² = 28.26 m^2

So the area is larger than the perimeter, the true statement is:

"The numerical value of the circumference is less than the numerical value of the area."

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Answer: your answer is c

Step-by-step explanation: I did this in 4th grade XD

Answer:

There are 10,560 yards in 3 mile or miles in 3 yard. Both yards and miles are units of length in the US customary and imperial systems of measurement.

She needs to dock her yacht 5.13 miles from the settlement.

As per the details given in the above question is as follow,

Where r is the distance she rowed

w is the distance she walked

t is the total time taken to reach village

Consider the time,

\(t = \frac{r}{2} + \frac{w}{5}\)

Further,

\(r^2 = 2^2 + (6 - w)^2\\r = (4 + 36 - 12w + w^2)^{\frac{1}{2}}\\r = (w^2 - 12w + 40)^{\frac{1}{2}}\)

Thus substitute the value of r in above t equation we get,

\(t = (w^2 - 12w + 40)^(1/2)/2 + w/5t' \\= (\frac{1}{2})(\frac{1}{2})(w^2 - 12w + 40)^(-\frac{1}{2})(2w - 12) + \frac{1}{5} = 0\)

Shift \(\frac{1}{5}\) on right side of the equation,

\((\frac{1}{2})(\frac{1}{2})(w^2 - 12w + 40)^(-\frac{1}{2})(2w - 12) = -\frac{1}{5}\\(\frac{1}{2})(w - 6) = -\frac{1}{5}(w^2 - 12w + 40)^(\frac{1}{2})\\5(w - 6) = -2(w^2 - 12w + 40)^(\frac{1}{2})\\25(w^2 - 12w + 36) = 4(w^2 - 12w + 40)\\(25 - 4)w^2 + (-25\times 12 + 4 \times 12)w + 25 \times 36 - 4 \times 40 = 0\\21w^2 - 252w + 740 = 0\)

w = 6.87, 5.13 mi

discard 6.87 ( > 6)

\(r = (w^2 - 12w + 40)^(\frac{1}{2})\)

r = 2.18 mi

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Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

Answer:

positive 3

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

You take 30% of 60 to find the number of brown beads.

\(\dfrac{z}{10} =5\)

Multiply both sides by 10:

\((\dfrac{z}{10} )\times10=(5)\times10\)

\(\fbox{z = 50}\)

z/10 = 5

Multiply both sides by 10:

z/10 * 10 = 5 * 10

z = 50

I would say 5 cubic feet based on the graph that the ice melted units are cubic feet

Hope that helped!

Answer:

I think the first

Step-by-step explanation: