Suppose the aluminium can shown measures 5 inches high with a radius of 2 inches. Which measurement BEST describes the
amount it can hold? (rounded to the nearest whole number)

Answer:

You could either but 5 hardbacks or 12 paperbacks

Step-by-step explanation:

Answer:

I can buy at most 5 hardback books or 12 paperbacks.

Step-by-step explanation:

Let h be the number of hardback books and p the number of paperbacks.

\(12h+5p\leq 60\)

If I don't buy any paperbacks, I can buy at most 5 hardbacks.

If I don't buy any hardbacks, I can buy at most 12 paperbacks.

Answer:

C. She used GF = 2BG, but the correct statement is BG = 2GF.

Step-by-step explanation:

credits to the other person!

Answer:

C.

Step-by-step explanation:

Edge 2021

Answer:

Step-by-step explanation:

7 blue socks and 6, 5, 8 of non-blue socks. If you add the numbers of non-blue socks you get 19. Blue socks to non-blue would be 7:19

Answer:

The ratio is 7 to 19 or 7:19

Step-by-step explanation:

Since there are 7 blue socks and other colors are not blue we add the number of other colors. So basically 8+5+6= 19 and then 7 blue socks :)

Answer:

(5.25, - 5.25 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 5.25, - 5.25 ) → (-(- 5.25), - 5.25 ) → (5.25, - 5.25 )

To solve this problem, we can use the Pythagorean theorem to find the height of the balloon. In particular, we can consider the right triangle formed by the stake, the top of the balloon, and the part of the string that is attached to the stake.

[asy]

unitsize(2 cm);

pair A, B, C, D, E;

A = (0,0);

B = (0,15);

C = extension(A,B,A+(1,0),B+(1,0));

D = extension(A,C,A+(0,1),C+(0,1));

E = extension(B,D,B+(0,-1),D+(0,-1));

draw(A--B--C--cycle);

draw(A--D--E--cycle);

draw(rightanglemark(A,D,C,2));

label("$A$", A, S);

label("$B$", B, N);

label("$C$", C, E);

label("$D$", D, E);

label("$E$", E, W);

[/asy]

Let $a$ be the distance from the stake to the top of the balloon, $b$ be the height of the balloon, and $c$ be the length of the string. We know that $a = 15$ feet and $c = 15$ feet, so we can use the Pythagorean theorem to find $b$:

$a^2 + b^2 = c^2$

$15^2 + b^2 = 15^2$

$225 + b^2 = 225$

$b^2 = 0$

$b = \sqrt{0} = 0$ feet

Therefore, the height of the balloon is 0 feet. This is because the balloon has been pulled up by the wind so that its top is directly above the stake, and therefore its height is 0 feet.

Answer:

21

Step-by-step explanation:

Set it up as 7/4 x 12/1.  Multiply the numerators and denominators.  That equals 84/4 which simplifies to 21.

Answer:

4

Step-by-step explanation:

change in y/change in x

rise/run

4/1

= 4

Answer:

up 4 right 5 and up 8 right 6

Step-by-step explanation:

The approximation using the Trapezoidal Rule and the exact answer using the Fundamental Theorem of Calculus both make sense.

Using the Trapezoidal Rule, we have:

h = (pi - 0)/6 = pi/6

cos(0) + 2(cos(pi/6) + cos(pi/3) + cos(pi/2) + cos(2pi/3) + cos(5pi/6)) + cos(pi)

= 1 + 2(0.866 + 0.5 + 0 - 0.5 - 0.866) + (-1)

= 0

Using the Fundamental Theorem of Calculus, we have:

∫ cos 2x dx = [sin 2x / 2] from 0 to pi

= (sin 2pi / 2) - (sin 0 / 2)

= 0

Since both methods give us an answer of 0, the answer makes sense. The integral of a periodic function over one period, such as cos 2x over [0, pi], evaluates to 0.

For such more questions on Trapezoidal Rule:

https://brainly.com/question/30425931

#SPJ11

The answers make sense since the integral of cos 2x over [0, pi] is negative and our approximations are also negative. Additionally, the Fundamental Theorem of Calculus confirms our approximation.

Using the Trapezoidal Rule with n=6, we have:

delta_x = (pi - 0) / 6 = pi/6

x_0 = 0, x_1 = pi/6, x_2 = 2pi/6, x_3 = 3pi/6, x_4 = 4pi/6, x_5 = 5pi/6, x_6 = pi

f(x_0) = cos(20) = 1

f(x_1) = cos(2pi/6) = sqrt(3)/2

f(x_2) = cos(22pi/6) = 0

f(x_3) = cos(23pi/6) = -1

f(x_4) = cos(24pi/6) = 0

f(x_5) = cos(25pi/6) = -sqrt(3)/2

f(x_6) = cos(2*pi) = 1

Using the Trapezoidal Rule formula, we have:

integral cos 2x dx = (delta_x/2) * [f(x_0) + 2f(x_1) + 2f(x_2) + 2f(x_3) + 2f(x_4) + 2f(x_5) + f(x_6)]

= (pi/36) * [1 + 2sqrt(3)/2 + 2(0) + 2(-1) + 2(0) + 2(-sqrt(3)/2) + 1]

= (pi/36) * [-2 + sqrt(3)]

≈ -0.471

To check our solution, we can use the Fundamental Theorem of Calculus:

F(x) = (1/2) * sin(2x)

F(pi) - F(0) = (1/2) * (sin(2pi) - sin(20)) = 0

F(pi) - F(0) ≈ -0.471

Know more about Trapezoidal Rule here:

https://brainly.com/question/31957183

#SPJ11

Answer:

The answer is 24.66

Step-by-step explanation:

35 x 0.75 = 26.25

26.25 x 0.94 = 24.66

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

In classification analysis, we are determining the probability of an observation belonging to a specific class or category.

In classification analysis, we aim to assign observations to predefined classes or categories based on their features or characteristics. This analysis involves training a model on a labeled dataset, where each observation is associated with a known class.

During the training phase, the classification model learns patterns and relationships in the input data to make predictions about the class labels of unseen observations. The model estimates the probability of an observation belonging to each class based on the learned patterns.

To determine the probability of an observation belonging to a specific class, the classification model calculates a score or probability value for each class. These scores indicate the model's confidence in the prediction. The probability values are often derived from a probabilistic algorithm or a mathematical function such as logistic regression or a decision tree.

To know more about classification analysis,

https://brainly.com/question/31171180

#SPJ11

Answer:

\(Cost \ total= \$ 1755\)

Step-by-step explanation:

Find the total cost of a rectangular shaped carpet, given the carpets length,  width, and the cost of carpet per square foot. Using the formula for the area of a rectangle.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Area of a Rectangle:}}\\\\A=l \times w\end{array}\right}\)

Where...

Given:

\(l=15 \ ft\\w=9 \ ft\\ 1 \ ft^2= \$ 13\)

Find:

\(Cost \ total = \ ?? \\)

(1) - Calculating the total area of the carpet, which is a rectangle

\(A=l \times w\\\\\Longrightarrow A=15 \ ft \times 9 \ ft\\\\\therefore \boxed{A=135 \ ft^2}\)

(2) Calculate the total cost of the carpet by multiplying the total area of the carpet by the cost of one square foot of carpet

\(Cost \ total=135 \ ft^2 \times \$ 13\\\\\therefore \boxed{\boxed{Cost \ total= \$ 1755}}\)

Thus, the total cost of the carpet is found.

Answer:

yes she will have $2.50

Answer:

5xy^2

Step-by-step explanation:

5 laps

400 meters each lap.

So, to answer this we have to multiply the number of laps by the length of each lap:

400 m x 5 = 2,000 meters

Then we have to convert into kilometers.

Since 1 km= 1000 meters

We have to divide the value in meters by 1000:

2,000 / 1,000 = 2 km

2 kilometers

Answer:

5 laps x 400m = 2000m = 2km

answer is 2 kilometres

Step-by-step explanation:

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer:

(11/2)² or 121/4 would be added to the equation x ² +11x+30=0,  to "complete the square".

Step-by-step explanation:

x 2 +11x+30=0

Write the equation in the form of the square

(x)^2 + 2(x) (11/2)  + (11/2)^2  + 30 - 121/4= 0

Square of the first element + 2 into first element into 2nd element + square of 2nd element gives the complete square formula.

How we obtained the second element?

The mid term broken must always be equal to the mid term given.

Hence

2(x)    can only be equal to 11x if we multiply it by 11 and divide it with 2.

So the second term must be 11/2 .

To complete the square this second term ( 11/2)² is added and then subtracted to keep the equation equal to the original equation.

(x)^2 + 2(x) (11/2)  + (11/2)^2  + 30 - 121/4= 0

Putting it in the form of square

(x+ 11/2)^2  + 120-121/4= 0

Taking LCM and solving

(x+ 11/2)^2   - 1/4= 0

(x+ 11/2)^2  = 1/4

Taking square root on both sides

(x+ 11/2)   = ± 1/2

x= - 11/2  ± 1/2

x= -10/2= -5

x= -12/2= -6

Answer:

1

Step-by-step explanation:

First we're going to convert the 3 into a fraction, \(\frac{3}{1}\)

We're going to do 3x1= 3 and 1x3= 3

Now we have \(\frac{3}{3}\)

simplified that's 1.

I hope this helps!!

Answer: 4th option (the one already selected)

Step-by-step explanation: as the X variable changes by 7 the Y variable changes by 1

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

for similar questions on sandbox.

https://brainly.com/question/31290675

#SPJ8

The total charge enclosed by the given volume is π(31/2000).

For the total charge enclosed by the given volume, we can apply Gauss's law, which relates the flux of the electric field through a closed surface to the charge enclosed inside the surface:

Φ = Q / ε₀

where Φ is the electric flux through the surface, Q is the charge enclosed by the surface, and ε₀ is the electric constant.

Let us choose a spherical surface centered at the origin, with radius ρ and surface area A = 4πρ².

since the region of interest is limited to 0 < p < 1, 0 < z < 1, and 0 < φ < π/2, we only need to consider the portion of the sphere that lies within this region, which is a spherical cap.

The normal vector to the surface at every point is (ρ, θ, φ), where θ is the azimuthal angle and φ is the polar angle.

Since the electric flux density D is given in Cartesian coordinates, we need to express it in terms of spherical coordinates. Using the conversion formulas, we get:

D(ρ, θ, φ) = 2πρ(cos φ + sin φ cos θ)ρ  + π² cos φ φ

where ρ and φ are the unit vectors in the radial and azimuthal directions, respectively.

Now, we have used the fact that θ = 0, since the problem is rotationally symmetric around the z-axis.

The electric flux through the spherical cap is then:

Φ = ∫∫ D(ρ, θ, φ) · dA = ∫∫ D(ρ, θ, φ) · ( ρ^ dA)

= ∫∫ D(ρ, θ, φ) ρ² sin φ dθ dφ

where the integral is taken over the surface area of the spherical cap.

Since, we have used the fact that the angle between the normal vector and the radial direction is φ, so the dot product simplifies to the magnitude of D times the component in the radial direction.

Substituting the expression for D and the limits of integration, we get:

Φ = ∫0 to (π/2) ∫0 to (2π) [2πρ³(cos φ + sin φ cos θ) + π²ρ² cos φ] sin φ dθ dφ

= 2π ∫0 to (π/2) sin φ dφ ∫0 to (2π) [2ρ³(cos φ + sin φ cos θ) + πρ² cos φ] dθ

= 4π ∫0 to (π/2) sin φ dφ ∫0 to (π/2) [2ρ³(cos φ + sin φ cos θ) + πρ² cos φ] dθ

= 4π ∫0 to (π/2) [2ρ³ sin φ + πρ² sin φ cos φ] dφ

= 2π(ρ⁴ + π/4ρ²)

where we have used the fact that the integral over θ gives 2π, and that the integrand is symmetric in θ so we can integrate over half of the interval and multiply by 2.

Now, we can equate this expression to Q/ε₀, where ε₀ is the electric constant.

Solving for Q, we get:

Q = ε₀ Φ = (1/4π) (2π(ρ⁴ + π/4ρ²))

= ρ⁴/2 + π/8

To find the total charge enclosed by the volume, we need to integrate this expression over the volume:

Q_total = ∫₀¹ ∫₀¹ ∫0 to (π/2) (ρ⁴/2 + π/8) ρ² sin φ dρ dz dφ

= (π/16)[(1/5)⁵ - (1/2)⁵] + (π/8)[(1/5)² - (1/2)²]

= π(31/2000)

Therefore, the total charge enclosed by the given volume is π(31/2000).

To learn more about integration visit :

brainly.com/question/18125359

#SPJ4

Answer:

m = 4

Step-by-step explanation:

Given

- 2(m + 3) - 5m = - 34 ← distribute and simplify left side

- 2m - 6 - 5m = - 34

- 7m - 6 = - 34 ( add 6 to both sides )

- 7m = - 28 ( divide both sides by - 7 )

m = 4

The probability of a student spending time reading given that the student spends time watching TV is  \(P(Reading|Watching\:\:TV)=0.12\)

If any two occurrences in sample space S, A and B, are specified, then the conditional probability of event A given B is:

\(P(A|B)=\frac{P(A\:and\:B)}{P(B)}\)

Probability theory is an important branch of mathematics that is used to model and analyze uncertain events in various fields, including science, engineering, finance, and social sciences. The concept of probability is based on the idea of random experiments, where the outcomes are uncertain and can vary each time the experiment is performed.

The probability of an event can be determined by analyzing the possible outcomes of the experiment and assigning a probability to each outcome based on the assumptions of the model. The theory of probability has several applications in real life, such as predicting the outcomes of games of chance, evaluating risks in insurance and finance, and making decisions in scientific research.

To learn more about Probability visit here:

brainly.com/question/29381779

#SPJ4

Answer:

The perimeter is the sum of the lengths of all the sides of a polygon. Thus, the perimeter of this quadrilateral is:

(10a-6) + (7a+4) + (7a+4) + (10a-6)

Simplifying the expression:

= 34a - 4

Therefore, the perimeter of the quadrilateral is 34a - 4.

Answer:

1.6

Step-by-step explanation:

all u gotta do is divide 6.4 by 4:)

hope that helps!<3

The definite integral by using the properties of even functions, we can evaluate the definite integral ∫(1²/246 + 7) cot(dt) over the interval [-2, I].

We can rewrite the integral as ∫(1²/246 + 7) cot(dt) = ∫(1/246 + 7) cot(dt). Since cot(dt) is an odd function, we can split the integral into two parts: one over the positive interval [0, I] and the other over the negative interval [-I, 0]. However, since the function we are integrating, (1/246 + 7), is an even function, the integrals over both intervals will be equal.

Let's focus on the integral over the positive interval [0, I]. Using the properties of cotangent, we know that cot(dt) = 1/tan(dt). Therefore, the integral becomes ∫(1/246 + 7) (1/tan(dt)) over [0, I]. By applying the integral property ∫(1/tan(x)) dx =\(ln|sec(x)| + C\), where C is the constant of integration, we can find the antiderivative of (1/246 + 7) (1/tan(dt)).

Once we have the antiderivative, we evaluate it at the upper limit of integration, I, and subtract its value at the lower limit of integration, 0. Since the integral over the negative interval will have the same value, we can simply multiply the result by 2 to account for both intervals.

The given interval [-2, I] should be specified with a specific value for I in order to obtain a numerical answer.

Learn more about definite integral here:

https://brainly.com/question/30760284

#SPJ11

Answer: 7

Step-by-step explanation:

\(Mean = \frac{Sum of terms}{Number of terms}\)

          = \(\frac{7+6+6+7+6+9+7+8}{8}\)

          = \(\frac{56}{8}\)

          = 7

Hope it helps and please mark as brainiest!

The probability for a distinct sample is =1-0.0277=0.9722.

Dice are an excellent example of probability concepts. Six-sided cubes are the most commonly used dice. We'll look at how to compute probabilities for rolling three standard dice. Calculating the probability of the sum obtained by rolling two dice is a fairly common problem. There are 36 different rolls with two dice, with any sum between 2 and 12 possible

Given: Three dice are rolled

Total sample space =216

The event that the same number will appear in each of them is {(1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6)}

The  probability that the same number=6/216=1/36=0.0277

Hence the probability for a distinct sample is =1-0.0277=0.9722.

learn more about probability,

https://brainly.com/question/30034780

#SPJ4