The perimeter of a rectangle is 44 meters and the length is 10 meters more than twice the width. Find the dimensions.18 meters and 4 meters6 meters and 9 meters5 meters and 9 meters6 meters and 16 meters

The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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Answer:

P(x) = (x - 3 )^2 (x + 5) - 72

Explanation:

We are told that the polynomial has a root of multiplicity 2 at x = 3. This means (x - 3)^2 is present in the polynomial. Alos, the root at x = -5 has a multiplicity 1, meaning (x + 5) is also present; therefore, we can write our polynomial as

Now, the y-intercept of P(x) is -27, meaning

Hence, the equation for the polynomial is

Answer:

0.2693

Step-by-step explanation:

Thus is a binomial probability problem :

p = 0.36

1 - p = 0.64

n = 9

x = 3

Using the binomial probability relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 3) = 9C3 * 0.36^3 * 0.64^6

P(x = 3) = 84 * 0.36^3 * 0.64^6

P(x = 3) = 0.2693

The vertex and axis of symmetry of the parabola is (-2,-3) and x = -2 respectively.(optionA).

An axis of symmetry is a line about which a figure is symmetrical.

A vertex is the maximum or minimum point of a parabola.

The vertex of the parabola can be found from the graph.

The y coordinate of the vertex is -3 and the x coordinate of the vertex is -2

Therefore the vertex of the parabola is (-2,-3).

The axis of symmetry is can also be found from the graph,

The point where the parabola can be divided into two is the axis of symmetry.

The axis of symmetry is x = -2

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Answer:

8

Step-by-step explanation:

its simple math matebfnfjf

Answer:

:)

Step-by-step explanation:

ih

Solving for y

y=5/2 + 3x/2

Solving for x

x=-5/3 + 2y/3

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer:

1) Irrational

2) Rational

3) Irrational

4) Rational

5) Rational

Step-by-step explanation:

A rational number is one that can be expressed as a ratio of 2 integers while an irrational number is one that can not be expressed like that. Another difference is that rational numbers can have finite or recurring decimals while irrational numbers have infinite and non - recurring decimals.

1) -20π is an irrational number because π contains infinite decimal digits

2) -26.23 is a rational number because it can be expressed as a ratio of 2 integers

3) -2√3 is an irrational number because √3 contains infinite decimal digits

4) -√1 is a rational number because √1 is a perfect square root and as such it can be expressed as a ratio of 2 integers.

5) 95.60 is a rational number because it can be expressed as a ratio of 2 integers

Step-by-step explanation:

$333 for 18 hours work.

so,

333/18 = $18.50 for a single hour.

how many hours to make $425.50 ?

well, as often as the amount of 1 hour work fits into 425.5 :

425.5 / 18.5 = 23 hours

she will have to work 23 hours to make $425.50.

The number of hours Charlotte has to work the next week to earn $425.50 is 23 hours.

Given that, one week, Charlotte earned $333.00 at her job when she worked for 18 hours.

We need to find how many hours would she have to work the next week to earn $425.50.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, money earned in one hour = 333/18 =$18.5

If she is paid the same hourly wage, to earn $425.50, she has worked for 425.50/18.5 hours

=23 hours

Therefore, the number of hours Charlotte has to work the next week to earn $425.50 is 23 hours.

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Answer:

Hello,

Step-by-step explanation:

\(\displaystyleV=2*\pi*\int\limits^4_2 {(\dfrac{1}{x}-\dfrac{1}{x^3} )*x } \, dx \\=2*\pi*\int\limits^4_2 {(1-\dfrac{1}{x^2} ) } \, dx \\=2*\pi* [x+\dfrac{1}{x}]^4_2\\\\\boxed{V=\dfrac{7\pi}{2}}\\\)

Answer:

It's dilate

Step-by-step explanation:

Because it changed in size and if it would to be translation the same size would be the same just different amount of spaces between the shapes.

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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Answer:

10, 1, 0 in that order hope this helps can i have branliest plz

Step-by-step explanation:

I took it and I got it right on edg

Answer:

give that guy brainliest plz

Step-by-step explanation:

The value of x is 15 inches, we find this by Pythagoras theorem and property of isosceles triangle.

Pythagoras theorem states that sum of square of base and square of perpendicular is equal to square of hypotenuses.

So , it can be formula is given below ,

  \(perpendicular^{2} + base^{2} = hypotenuse^{2}\)

And In ab isosceles triangle two equal side vertex divide base in two equal parts.

So, here base = 40.

Therefore it is divided in 20-20 inches,

Now putting the formula of Pythagoras theorem, we get

\(20^{2} + x^{2} = 25^{2}\)

\(x^{2} = 25^{2} - 20^{2}\)

\(x^{2} = 225\)

So we get, x = 15 inches.

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Answer: 2 to 1

              26 to 13

              84 to 42

Step-by-step explanation: Just multiply the 13 by 2. And divide the 84 by 2.

Answer:

B) -2

Step-by-step explanation:

\(\frac{25-(-15)}{-12-8} =\frac{40}{-20} =-2\)

The answer is 140 because 14 x 10 is 140

The dimensions of the rectangle are:

Length = 10 m

Width = 6.5 m

Recall that the area of aa rectangle is given as, length × width.

Given the following:

Area of the rectangle = 65 m²

Let the width of the rectangle be represented as w.

Length of the rectangle = 2w - 3 m

Therefore:

(2w - 3)(w) = 65

Expand:]

2w² - 3w = 65

2w² - 3w - 65 = 0

Factorize:

w = 6.5 or w = -5

The width cannot be negative, therefore, the width = 6.5 m.

Length of the rectangle = 2w - 3 = 2(6.5) - 3 = 10 m

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The firm should produce good  x₁ = 4 and x₂ = 8 to minimize cost of C = x₁² + x₂² .

What is Lagrange multipliers ?

Lagrange multipliers is a method used in optimization problems to find the maximum or minimum value of a function subject to one or more constraints. The method involves introducing a Lagrange multiplier, which is a scalar variable, to the objective function and the constraint(s). This forms the Lagrangian function, which is then optimized with respect to the original variables and the Lagrange multiplier.

To minimize the cost C = x₁² + x₂²

We can use the method of Lagrange multipliers to solve this problem. Let's define the Lagrangian function L as:

L(x₁, x₂, λ) = x₁²+ x₂² + λ(400 - 5x₁²- 8x₁x₂ - 15x₂²)

Taking partial derivatives of L with respect to x₁, x₂, and λ, we get:

∂L/∂x₁ = 2x₁ - 10λx₁ - 8λx₂ = 0

∂L/∂x₂ = 2x₂ - 30λx₂ - 8λx₁ = 0

∂L/∂λ = 400 - 5x₁² - 8x₁x₂ - 15x₂² = 0

Solving these equations simultaneously, we get:

x₁ = 4

x₂ = 8

λ = 1/20

Hence, the firm should produce a combination of x₁ = 4 and x₂ = 8 to minimize the cost of C = x₁² + x₂² while satisfying the production quota of 400.

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Answer:

3.3e+7

Step-by-step explanation:

Why are you cheating... I will report this to your teacher

Answer:

The numbers less that 40 which have sum of digits 8 are 17, 26, 35.

Only one of those that has a factor of 7. And that is 35.

So you are 35.

Second way:

The numbers less that 40 which have a factor of 7 are 7,14,21,28,35

Only one of those which has sum of digits as 8. And that is 35.

So you are 35.

Step-by-step explanation:

The perimeter of the rectangle with area of 108 cm is 48 cm.

The perimeter of a rectangle is the sum of the whole sides of the rectangle. A rectangle is a quadrilateral with opposite side equal to each other.

Therefore,

area of a rectangle = lw

where

Therefore,

l = 3w

108 = 3w(w)

108 = 3w²

w² = 108 / 3

w = √36

w = 6

Hence,

length = 3(6) = 18

Therefore,

perimeter of the rectangle = 2(l + w)

perimeter of the rectangle = 2(18 + 6)

perimeter of the rectangle = 2(24)

perimeter of the rectangle = 48 cm

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Hello!

For this you would just need to multiple straight across. Here's how you would set it up:

3/4 ·1/8

Then you would multiple 3 x 1 = 3

And 4 x 8 =32

Your answer should be 3/32, it cannot be simplified so that is the final answer :).

all work should be in the picture, lmk if theres anything confusing

The acceleration of the particle at 4 seconds is approximately 3.97 ft/sec^2.  "None of these".

To find the acceleration of the particle at 4 seconds, we need to take the second derivative of the position equation with respect to time. The first derivative gives us the velocity, and the second derivative gives us the acceleration.

So, first we find the first derivative of the position equation:

s'(t) = 4t + 1/(2*sqrt(t))

Then, we find the second derivative:

s''(t) = 4 - 1/(4*t^(3/2))

Now we can evaluate the acceleration at t = 4 seconds:

s''(4) = 4 - 1/(4*4^(3/2))

s''(4) = 4 - 1/32

s''(4) = 127/32

s''(4) = 3.96875 ft/sec^2 (rounded to the nearest hundredth)

Therefore, the acceleration of the particle at 4 seconds is approximately 3.97 ft/sec^2.

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The acceleration of the particle at 4 seconds is 15.75 ft/sec2 which is option B.

To find the acceleration, we need to take the second derivative of the position equation with respect to time:

s(t) = 2t^2 + √t

v(t) = s'(t) = 4t + 1/(2√t)

a(t) = v'(t) = 4 - 1/(4t^(3/2))

Substituting t = 4, we get:

a(4) = 4 - 1/(4(4)^(3/2)) = 16 - 1/32 = 511/32 ≈ 15.97 ft/sec^2

Therefore, the answer is approximately 15.97 ft/sec^2, which is closest to option (b) 15.75 ft/sec^2.

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Answer:

3^12

when we see a number above a number in roots we Multiply

then we will find 3¹⁰/3-² in devide we Take number so its 10-(-2)=12

hopefully its helpful

Answer:

3^12 hope this helped :)

Step-by-step explanation:

(3^5)^2 = 3^10

3^10 ÷ 3^-2

10--2=12

3^12

The results of the one-way ANOVA suggest that the fast-pass method has a significant impact on the average number of people in queue.

The F-statistic for this example is 3.53. The p-value for the one-way ANOVA is calculated using the F-distribution. The p-value for this example is 0.029.

The p-value is less than the significance level of 0.05, so we can reject the null hypothesis. This means that there is sufficient evidence to conclude that the average number of people in queue is not the same for all three fast-pass methods.

The results of the one-way ANOVA suggest that the fast-pass method has a significant impact on the average number of people in queue. Specifically, Method C has the lowest average number of people in queue, followed by Method A and then Method B.

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Answer:150?

Step-by-step explanation: