Rami's grandfather paid $67.83 for a length of rope that cost $0.95 per foot. He then cut the rope into pieces that were each 3 feet long. How many 3-foot pieces of rope did Rami's grandfather make? Enter your answer in the box.

Answer:

Step-by-step explanation:

1.Φ(u,v) gives the parametrization with its x, y, and z components. So, x=7u+4, y=u-v, and z=13u+v. We can use this to get the tangent vectors by taking the respective partial derivatives. Tu=<7, 1, 13> by taking the u derivatives of the components and Tv=<0, -1, 1> by taking the v derivatives of the components.

2. Taking the cross product of Tu and Tv will give the normal vector n(u,v), which is <14, -7, -7>

3. To find Area(S), you have to multiply the area of D by the magnitude of the normal vector from the previous step. D is the region defined by 0<=u<=5 and 0<=v<=6, so the area of D is 5*6=30. Multiply this by the magnitude of the normal vector to find that Area(S)=30sqrt(294)

4. To integrate, we first must put the initial function in terms of the parameters we found in the first step. Replace y with u-v and z with 13u+v. Next, multiply this integrand by the magnitude of the normal vector (sqrt294) and apply the given bounds for u (0<=u<=5) and v (0<=v<=6). From here the problem can be integrated like any other double integral, the final answer being 190sqrt(294)

Answer: A

Step-by-step explanation: To solve this problem, we need to use the properties of triangles and the given information to determine the measure of angle C.

First, we can use the fact that angle A is opposite angle C to deduce that angles A and C are congruent (i.e. they have the same measure). This means that the measure of angle C is 25 degrees.

Next, we can use the fact that triangle AABC is isosceles (i.e. it has two sides of equal length) to deduce that angle B is also 25 degrees. This is because the sum of the interior angles of a triangle is 180 degrees, so if angle A is 25 degrees and angle C is 25 degrees, then the remaining angle, angle B, must be 180 - (25 + 25) = 130 degrees.

We can also use the fact that triangle AEFG is isosceles to deduce that angle F is also 100 degrees. This is because the sum of the interior angles of a triangle is 180 degrees, so if angle E is 100 degrees, then the remaining angle, angle F, must be 180 - 100 = 80 degrees.

Finally, we can use the given information that the measure of angle Z is 25 degrees and the measure of angle F is 100 degrees to deduce that the measure of angle X is 180 - (25 + 100) = 55 degrees. This is because the sum of the interior angles of a triangle is 180 degrees, and we have already determined the measures of two of the angles (angles Z and F).

Therefore, the measure of angle C is 25 degrees, which means the correct answer is A) 125 degrees.

Answer:

y - 8 = -1/11(x - 7)

Step-by-step explanation:

Answer:

y = 3 cos (π (0-3) + 2)

y = 3 cos (-2π + 2)

y = 3 cos (-2)

y = 3(-1)

y = -3

Step-by-step explanation:

the table was filled correctly already by somebody yesterday.

the important thing to remember is that an arc angle is always measured at the center point of the circle. that is the difference to angles between the intersecting lines of arc segments.

it would be really important that you start doing these things yourself. this hands-on experience of these (really basic) questions is designed to help you get a feeling how these things work together, which makes later topics much easier for you.

please tell me what you don't understand here. you only need to apply common sense. no magic voodoo math formulas or strategies.

FAR = 100° FR = 140° VO = 60° FR+VO = 200°

FAV = 80° FV = 60° RO = 100° FV+RO = 160°

OAV = 100° VO = 60° FR = 140° VO+FR = 200°

OAR = 80° RO = 100° FV = 60° RO+FV = 160°

how did we get the measures of the intercepted arcs ? by counting the 20° segments on the arc. the full circle arc represents 360°. always, for every circle. one time around is one time around and therefore 360°, no matter the size of the circle.

when you stand directly on the south pole of the Earth for 24 hours, you will have rotated the full 360° in that time (one rotation per day). if you stand on the equator for 24 hours, the Earth has taken you on one spin of the full 360°. the difference is the absolute arc length and the necessary speed at which we cover the distance of a full arc length.

every 250 million years our whole sogar system rotates once (by the full 360°) around the center of our galaxy.

the degrees have nothing to do with radius, diameter, area, ... of a circle. only with the relative parts of the circumference. when the minute arm of a clock moved for 15 minutes, then it went 90° around the clock's face. after 60 minutes it went the full 360°, and the cycle starts anew.

so, minutes on a clock or hours of the day are just another way of counting degrees around a circle.

what have we noticed with the sum of the measures of the intercepted arcs ?

many things.

e.g.

they are exactly twice as large as the line angles. 100 to 200. 80 to 160.

the sum of 2 pairs of opposing arc angles is always 360°.

...

so, how will we get the line angles based on the sum of the angles of the intersected arcs ?

we cut the sum of the intersected arc angles in half. 200 to 100. 160 to 80.

Answer:

The answer is 7

Step-by-step explanation:

Answer:

21 meters

Step-by-step explanation:

you can see it goes 21 meters before it hits the ground

Answer:

21 is the answer

Adjacent angles of a parallelogram are supplementary.

[tex]y+3y=180 \\ \\ 4y=180 \\ \\ y=\boxed{45} \\ \\ \\ \\ 3(45)+3x=180 \\ \\ 45+x=60 \\ \\ x=\boxed{15}[/tex]

3456

Step-by-step explanation:

2x2=4 3456 67867789990

The percent of the wall does she paint will be;

⇒ 79%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The length of room wall = 8 feet

The width of room wall = 12 feet

The length of windows = 5 feet

The width of windows = 2 feet

Now,

The area of wall = 12 x 8 feet²

                         = 96 feet²

And, The area of windows = 5 x 2 feet²

                                         = 10 feet²

Hence, The area of paints a wall in her bedroom = 96 - 2 (10)

                                                                            = 96 - 20

                                                                            = 76 feet²

So, She paint the wall of area 76 feet².

Since, The area of whole wall = 96 feet²

But, There are two window.

So, The percent of only wall paint of are 76 feet² = 100 x 76 / 96

                                                                            = 79.16%

Thus, The percent of the wall does she paint to the nearest whole percent will be;

⇒ 79%

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

The weekly goal of 150 minutes of moderate exercise or 75 minutes of intense exercise has increased by 22.9 percent.

The intensity of exercises depends on mostly the amount of energy you have to spend. But the time spent also differs. Intense exercises are basically exercises that require you to expend more energy than how much you spend on normal exercise. Any exercise becomes intense when you spend 70 to 85 percent of your maximum heart rate working out. It is vigorous but you get the same amount of calories burned.

Moderate exercises are the normal ones. These require normal intake of heart rate and energy but take more time. The walk from your house to your college/school or the normal crunches and all you do are perfect examples of moderate exercises.

Learn more about moderate exercises on

https://brainly.com/question/4243633?referrer=searchResults

#SPJ4

Answer:

15%

Step-by-step explanation:

i hope i got this right

Answer:

15% is the answer to your question

Answer:

$747.50

Step-by-step explanation:

The scale factor is 2 if the two triangles are similar to each other after applying the property of a similar triangle.

The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

It is given that:

Two triangles are shown in the picture

From the definition of the similar triangle.

Scale factor = 6/3 = 2

Thus, the scale factor is 2 if the two triangles are similar to each other after applying the property of a similar triangle.

Learn more about the scale factor here:

brainly.com/question/22312172

#SPJ1

Answer:

larysa got a larger drawing because 1 in 5 is bigger then 1 in 8 yards so that makes her area way larger

The area of the triangle is 3 units² which has a hypotenuse of 3 units and a side of 2 units.

A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon.

There are three sides and three angles in every triangle, some of which may be the same.

In the case of a right triangle, the three sides are given unique names: the hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides.

Every triangle is bicentric and convex.

The triangle's interior is the area of the plane it encloses; the outside is the rest of the plane.

So, the area of the triangle will be:

We know that the hypotenuse is 3 units.

The length of the other side is 2 units.

Area of triangle formula: 1/2 * base * height

Now, insert values in the formula and calculate:

1/2 * base * height

1/2 * 2 * 3

3 units²

Therefore, the area of the triangle is 3units² which has a hypotenuse of 3 units and a side of 2 units.

Know more about triangles here:

https://brainly.com/question/28889256

#SPJ4

A 96% confidence interval for the mean difference in textbook prices at the two online bookstores is (3.22,8.38).

What is a confidence interval?

An estimated range for an unknown parameter is known as a confidence interval. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.

Here, we have

The mean and standard deviation are M = 5.8 and s = 4.658

To calculate the estimated standard error, we apply

S = [tex]\sqrt{s^2/n}[/tex]

 =[tex]\sqrt{4.658^2/5}[/tex]

= 2.08

The 96% confidence interval is :

CI = x ±t₉₆s/√n

= 5.8 ±2.7764× 2.08/√5

= 5.8±2.58

= (3.22,8.38)

Hence, a 96% confidence interval for the mean difference in textbook prices at the two online bookstores is (3.22,8.38).

To learn more about the confidence interval from the given link

https://brainly.com/question/20309162

#SPJ4

Natalie should use Clustered Column Chart.

What is a Clustered Column Chart?
A clustered column chart is a vertical representation that shows data in groups (columns) that are connected to one another. Each column's data is separated into categories according to an attribute like year, age, sex, or race.For the purpose of comparing various variables, many bars are clustered in the same class in a clustered-column (bar) chart which is a specific kind of column (bar) chart. Hence, (B.) Clustered Column Chart is the correct option.

To learn more about clustered column chart from the given link
https://brainly.com/question/13871272
#SPJ4

s in the_set is the expression that whose value is true if the value that is referenced by s in the_set.

The right response to the question is assignment operator (=). Explanation: The = operator is used to assign a value to a variable, or we may say to hold the value of a variable. An assignment operator is referred to as the = operator.

A variable's name and storage space are assigned when a value is to be stored there. We saw that we could provide a variable both a string (text) and a numeric value. We also saw that we could give a variable a new value, replacing any previous ones, by reassigning it.

For more information on variable kindly visit to

https://brainly.com/question/25875756

#SPJ4

The inequality is represented by the equation

D. (2, 5) is the solution of the inequality

The given points are (0, 0.75) and (2, 4.75) these is used to calculated the slope

m = (y - y') / (x - x')

m = (4.75 - 0.75) / (2 - 0)

m = 4 / 2 = 2

using the point slope formula which is

(y - 4.75) = 2 (x - 2)

y - 4.75= 2x - 4

y = 2x + 0.75

y = 2x + 3/4

dashed straight line with positive slope goes and Everything to the left of the line is shaded means greater than >

y < 2x + (3/4)

Watching the graph the solution is D(2, 5) this point is in the shaded area

Learn more about linear functions:

https://brainly.com/question/29213103

#SPJ1

The probability of rolling a 3 the first time and a 3 the second time is 1/36.

Given that,

There are two rolls of one die.

We have to determine the probability of receiving a 3 both the first and second times.

We know that,

There are 6 faces on a die.

Of these 6 faces, one of them is 3 and one of them is 3

So, the probabilities of rolling a 3 and a 3 are:

P(3) = 1/6

P(3) = 1/6

The probability of rolling a 3 the first time and a 3 the second time is calculated as follows:

Pr=P(3)×P(3)

This gives

Pr=1/6×1/6

Multiply

Pr=1/36

Therefore, the probability of rolling a 3 the first time and a 3 the second time is 1/36.

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ4

The area between one standard deviation and either side of mean is 34%

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ)

95% within the first two standard deviations (µ ± 2σ)

99.7% within the first three standard deviations (µ ± 3σ).

According to the question,

If we place the flag 1 standard deviation on either side of the mean

which means flag is placed either on (µ + σ) or ( (µ - σ)

and Using Empirical rule,

68% of area lie under (µ ± σ)

Therefore , Area between either  (µ + σ) or ( (µ - σ) = 68 / 2

=> 34%

To know more about empirical rule here

https://brainly.com/question/27605836

#SPJ4

There is a 0.044% probability of having exactly 8 boys in a sample of 10 births.

Simply put, the probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2 (a head or tail).

P(heads) = 1/2 is what we write.

So, X is the proportion of boys among n particular births. Let p represent the likelihood of having a boy at a certain birth.

Here n=10.

Additionally, because male and female births are equally likely, there is a 50% chance of having a boy or a girl.

P(Boy) = P(girl) = 0.5

p = 0.5

Based on the information provided, there will be a defined number of trials (n) of 10, with a constant chance of success (p).

Furthermore, every trial stands alone from the others.

So, with n=10 and p=0.5, X follows a binomial distribution.

The following is the probability function of the binomial distribution for the k number of successes, where x = k.

[tex]\mathrm{P}(\mathrm{X}=\mathrm{k})=(10 C k) 0.5^k(1-0.5)^{10-k}[/tex]

Finding the likelihood of 8 boys in n=10 births is necessary.

P(X=8) = (10C8)0.5⁸(1-0.5)¹⁰⁻⁸

= 45 × 0.0039 × 0.25

P(X = 8) = 0.0438

Therefore, there is a 0.044% probability of having exactly 8 boys in a sample of 10 births.

Know more about probability here:

https://brainly.com/question/28924396

#SPJ4

The SI unit for density is kilogram per cubic meter (kg/m³)/

The density of liquid is 0.17 × 10⁸.

Kilogram Per Cubic Meter:

The SI unit for density is the kilogram per cubic meter (kg/m3). For many situations, however, this as an inconvenient unit, and we often use grams per cubic centimeter (g/cm3) for the densities of solids and liquids, and grams per liter (g/L) for gases.

According to the question:

Firstly, have to change your units to kilograms and cubic meters. Since there are a thousand grams in a kilogram,

                        170g = 1.70 x 10⁻¹ kg.

Since there are a thousand milliliters in a liter and a thousand liters in a cubic meter

               100ml = 1.00 x 10⁸ cubic meters

Therefore, Density= mass/volume

Density = 1.7 x 10⁻¹/ 1.00 x 10⁸ kg/m³

             = 0.17 x 10⁸ kg/m³.

Learn more about Density:

https://brainly.com/question/952755

#SPJ4

Answer:41/60

Step-by-step explanation:

3/5 and 4/7 can also be expressed as 21/30 and 20/30 respectively.

(7 and 5 have a common multiple of 30) if you multiply both of these by 2/2 (aka 1) then you get 42/60 and 40/60 respectively.

In between these 2 fractions is 41/60.

Using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

The characteristics of normal distributions are as follows: Bell-like in its symmetry.

The distribution's mean and median, which are both at its center, are equal.

68 percent of the data, or approximately, falls within one standard deviation of the mean.

So, the formula is used to determine the Z score for a data point x in a normal distribution:

Z = z - mean/standard deviation

Now, use the formula to calculate the z value as follows:

Z = z - mean/standard deviation

Z = 25 - 16/6

Z = 9/6

Z = 3/2

Z = 1.5

Therefore, using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

Know more about a normal distribution here:

https://brainly.com/question/4079902

#SPJ4

Simplify would be 0.4x + 2.2

A complex number is represented on a complex plane. The number [tex]z = 3-5i[/tex] is represented in a smilar manner as real numbers but y axis cosidered a imaginary axis.

What is a complex plane?

A complex plane is formed by complex numbers in a similar manner as the Cartesian coordinate system. But the x axis is made up of real numbers and y axis is made up of imaginary numbers.

A complex number is plotted on a complex plane. In the complex plane the x axis is known as the real axis and the y axis is known as the imaginary axis.

Consider the given complex number.

[tex]z = 3-5i[/tex]

Here, 3 is real number and -5 is imaginary number.

Since 3 is real number hence, move 3 steps in the right direction on x axis. Now, -5 is the imaginary number hence, move 5 steps in the downward direction parallel to the y axis.

The final position is [tex]z = 3-5i[/tex].  

Hence, a complex number is represented on a complex plane.

Learn more about complex numbers from the following link:

https://brainly.com/question/10662770

#SPJ1