what is the perimeter of 6m,5m,3m,2m,3m,3m

Answer:

Option (b) second one is the correct answer

Answer:

1800 inches, 150 feet, and 50 yards

Step-by-step explanation:

First, lets start in inches. multiply 45 by 3, to get 135 feet, and add that with 10.5 to get 145.5 feet. multiply that by 12 to get 1746 inches, and add 54 to that to get 1800 inches. divided that by 12 to get 150, and divided 150 by 3 to get 50.

Answer:

(a). \(\frac{33}{40}\) ; (b). 33 to 40

Step-by-step explanation:

Use "magic fraction" \(\frac{Part}{Whole}\)

(a). Distance covered by runner is 33 yards

Whole distance is 40 yards

The portion of the race that the runner has completed is

\(\frac{33}{40}\)

(b). The portion of the race that the runner has completed is 33 to 40

Answer:

x=21

Step-by-step explanation:

Answer:

x = 21

Step-by-step explanation:

3x = 63

x = 21

hope it help

Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

The probability of being dealt a flush, assuming randomness, is closest to 0.00198 or 0.198%. The probability of being dealt a flush in a 5-card hand from an ordinary 52-card deck, assuming randomness, can be calculated using the given information.

There are 2,598,960 possible 5-card hands, and 5,148 of these are flushes (all five cards of the same suit). To find the probability of being dealt a flush, divide the number of flushes by the total number of possible 5-card hands:
Probability of a flush = (Number of flushes) / (Total number of possible 5-card hands)
= 5,148 / 2,598,960
Now, divide the numbers= 0.00198079 (approximately)
So, the probability of being dealt a flush, assuming randomness, is closest to 0.00198 or 0.198%.

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For f(x + h) - f(x) = 4xh + 4h + 2h², the slope of the tangent line at x = 4 is 20. The correct answer is option OD) 20.

To find the slope of the tangent line at x = 4, we can use the definition of the derivative.

The given equation can be rewritten as:

f(x + h) - f(x) = 4xh + 4h + 2h².

Let's rewrite it in a form that resembles the definition of the derivative:

(f(x + h) - f(x)) / h = (4xh + 4h + 2h²) / h.

Canceling out the common factor of h in the numerator and denominator, we have:

(f(x + h) - f(x)) / h = 4x + 4 + 2h.

Now, let's take the limit as h approaches 0 on both sides of the equation:

lim(h->0) [(f(x + h) - f(x)) / h] = lim(h->0) (4x + 4 + 2h).

The left side of the equation is the definition of the derivative of f(x) with respect to x. So, we have:

f'(x) = 4x + 4.

To find the slope of the tangent line at x = 4, we substitute x = 4 into the derivative:

f'(4) = 4(4) + 4 = 16 + 4 = 20.

Therefore, the slope of the tangent line at x = 4 is 20.

The correct answer is OD) 20.

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The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

B,C,D are the right answers

Step-by-step explanation:

because i did it!!!!

Answer: options 2, 3, and 5 are correct!

2:The line x + y < 10 has a negative slope and a positive y-intercept.

3:The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line.

5:The overlapping region contains the point (4, 5).

Step-by-step explanation:

i just answered it myself :>

To find the value of the line integral, we need to integrate the dot product of the vector field F with the differential vector dr along path C.

(a) Using the parametric equation r1(t) = ti - (t-4)j, we can calculate dr/dt = i - j and substitute it into the line integral formula:

∫ F · dr = ∫ (yexyi + xexyj) · (i-j) dt

= ∫ (ye^(t-i) - xe^(t-i)) dt from t=0 to t=4

= [ye^(t-i) + xe^(t-i)] from t=0 to t=4

= (4e^3 - 4e^-1) + (0 - 0)

= 4e^3 - 4e^-1

(b) To use an alternative path for easier integration, we can check if the vector field F is conservative.

∂M/∂y = exy + xexy = ∂N/∂x

where F = M(x,y)i + N(x,y)j

Thus, F is conservative and we can use the path independence property of conservative vector fields.

Going from (0,4) to (0,0) to (4,0) to (0,4) is equivalent to going from (0,4) to (4,0) to (0,0) to (0,4) and back to the starting point.

Using Green's theorem, we have:

∫ F · dr = ∫ M dy - ∫ N dx = ∫∫ (∂N/∂x - ∂M/∂y) dA

= ∫∫ (exy + xexy - exy - xexy) dA

= 0

Therefore, the value of the line integral along the closed path is zero.

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ANSWER

[5, ∞)

EXPLANATION

First we have to solve each inequality separately:

And the other inequality

Graphing this solution set:

Solution x ≥ 5 includes solution x ≥ 1, so the solution is [5, ∞)

The formula or equation used to determine the slope of a straight line is as follows:

m = (Y₂-Y₁)/(X₂-X₁)

An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

Equations can be graphed, they are used to model many problems and theories.

The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:

m = (Y₂-Y₁)/(X₂-X₁)

Where the points are:

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Answer:

To find the percent markup, we can use the following formula:

Markup = (selling price - cost price) / cost price * 100

We know that the department store buys 100 shirts at a cost of $1,200 and sells them at a selling price of $20 each.

Markup = ($20 - $12) / $12 * 100

Markup = $8 / $12 * 100

Markup = 2/3 * 100

Markup = 67%

So the percent markup is 67%.

Answer:

B. x + 3x ≤ 36

Step-by-step explanation:

bc the word AT MOST means ≤

so it would be B

Answer: 194

Step-by-step explanation:

From the volumes, we deduce that the side lengths of the cubes are 1 cm, 2 cm, 3 cm, and 5 cm. We position the cubes as follows:

[asy]

unitsize(0.5 cm);

draw((0,0)--(5*dir(-30))--(5*dir(-30) + 5*dir(30))--(10*dir(-30))--(5*dir(-30) + 5*dir(-90))--(5*dir(-90))--(0,0));

draw((5*dir(-30))--(5*dir(-30) + 5*dir(-90)));

draw((0,0)--(0,2)--((0,2) + 2*dir(-30))--(2*dir(-30)));

draw((0,2)--((0,2) + 2*dir(30))--((0,2) + 2*dir(30) + 2*dir(-30))--(2*dir(30)));

draw((2*dir(-30))--(2*dir(-30) + dir(30))--(2*dir(-30) + dir(30) + (0,1))--(2*dir(-30) + 2*dir(30) + (0,1))--(2*dir(-30) + 2*dir(30) + (0,2)));

draw((2*dir(-30) + dir(30))--(3*dir(-30) + dir(30))--(3*dir(-30) + dir(30) + (0,1))--(2*dir(-30) + dir(30) + (0,1)));

draw((3*dir(-30) + dir(30) + (0,1))--(3*dir(-30) + 2*dir(30) + (0,1))--(2*dir(-30) + 2*dir(30) + (0,1)));

draw((2*dir(30) + (0,2))--(2*dir(30) + (0,3))--(2*dir(30) + 3*dir(-30) + (0,3))--(2*dir(30) + 3*dir(-30))--(dir(30) + 3*dir(-30)));

draw((2*dir(30) + (0,3))--(5*dir(30) + (0,3))--(5*dir(30) + 3*dir(-30) + (0,3))--(5*dir(30) + 3*dir(-30))--(5*dir(30) + 5*dir(-30)));

draw((3*dir(-30) + 2*dir(30))--(3*dir(-30) + 5*dir(30)));

draw((3*dir(-30) + 2*dir(30) + (0,3))--(3*dir(-30) + 5*dir(30) + (0,3)));

[/asy]

The surface area of a cube with side length $s$ is $6s^2$, so the total surface area of the cubes is $6 \cdot 1^2 + 6 \cdot 2^2 + 6 \cdot 3^2 + 6 \cdot 5^2 = 234$.

Note that every pair of cubes touches, and furthermore, they have maximum contact. (This is why this solid has the smallest possible area.) The area of contact of the 1-cube and the 2-cube is 1 square centimeter, so we must subtract this twice from 234 (because this portion of the area from both the 1-cube and 2-cube is not seen anymore).

Doing this for every pair of cubes, we find that the surface area of this solid is $234 - 2 \cdot 1^2 - 2 \cdot 1^2 - 2 \cdot 1^2 - 2 \cdot 2^2 - 2 \cdot 2^2 - 2 \cdot 3^2 = \boxed{194}$.

To estimate Δf = f(3.5) - f(3) using the linear approximation, we'll use the formula:

Δf ≈ f'(a) * Δx

where f'(a) represents the derivative of f at the point a, and Δx represents the change in the x-values.

Given that f(x) = 41 + \(x^2\), we can calculate the derivative as:

f'(x) = 2x

Now, let's calculate the values step by step:

Calculate Δf:

Δf ≈ f'(a) * Δx

Δf ≈ f'(3) * (3.5 - 3)

Δf ≈ 2(3) * (3.5 - 3)

Δf ≈ 6 * 0.5

Δf ≈ 3

Calculate the actual change:

To calculate the actual change, we need to evaluate f(3.5) and f(3) separately:

f(3.5) = 41 +\((3.5)^2\)

f(3.5) = 41 + 12.25

f(3.5) = 53.25

f(3) = 41 + \((3)^2\)

f(3) = 41 + 9

f(3) = 50

Δf = f(3.5) - f(3)

Δf = 53.25 - 50

Δf = 3.25

Calculate the error and the percentage error:

Error = |Δf - Δf_approx|

Error = |3.25 - 3|

Error = 0.25

Percentage error = (|Δf - Δf_approx| / Δf) * 100

Percentage error = (0.25 / 3.25) * 100

Percentage error ≈ 7.69%

So, the results are as follows:

Δf ≈ 3

Actual change (Δf) ≈ 3.25

Error ≈ 0.25

Percentage error ≈ 7.69%

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Answer:

Part A:
$12 x 1

Part B: $64.80

tep-by-step explanation:

Answer:

all 5

Step-by-step explanation:

6a+3a+8b+a-5b = 10a+3b

3b+6a+3b+6a = 9b+6a

3b+9a+3b+9a = 6b+18a

3b+10a+3b+10a = 6b+20a

13b+9a = 13b+9a

Answer:

1 Dime

14 Quarters

Step-by-step explanation:

d + q = 15

0.10d + 0.25q = 3.60

d = 15 - q

0.10d + 0.25q = 3.60

0.10(15 - q) + 0.25q = 3.60

1.5 - 0.10q + 0.25q = 3.60

0.15q = 3.60 - 1.5

0.15q = 2.1

0.15q/0.15 = 2.1/0.15

q = 14

d = 15 - q

d = 15 - 14

d = 1

Answer:

x = \(\sqrt{87}\)

Step-by-step explanation:

if you draw a perpendicular segment from the vertex between sides 5 and 16 to the opposite side then you have a right triangle and can use the Pythagorean Theorem,  a² + b² = c²

a = x

b = 13 (you get this from 18 - 5)

c = 16

x² + 13² = 16²

x² + 169 = 256

x² = 87

x = √87

Answer: y=6x+30

Step-by-step explanation:

Answer:30x

Step-by-step explanation:

Answer:

A solution to a system of equations means the point must work in both equations in the system

Answer:

The point must work in both equations in the system, therefore, when we test the point in both equations, it must be a solution for both.  

Step-by-step explanation:

The total area of the garden when the rectangle with given vertices is added is 55 square feet.

Both length and breadth are metrics that are used to define an object's size. Although width is the measurement of an object's shorter dimension, length is the measurement of an object's longest dimension. The longer side of two-dimensional objects like rectangles is often referred to as the length, and the shorter side as the width. The length, width, and height, however, can refer to any one of the three dimensions in three-dimensional objects like boxes, depending on how the item is orientated.

The vertices of the new rectangle are (−21, 7), (−23, 7), (−21, 12), and (−23, 12).

The length of the rectangle is: 12 - 7 = 5

The width of the rectangular piece is: 23 - 21 = 2

The area of the rectangular piece is:

A = 5 × 2 = 10 square feet

The total area is:

Total area = 45 + 10 = 55 square feet

Hence, the total area of the garden when the rectangle with given vertices is added is 55 square feet.

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Answer: B.55 ft2

Step-by-step explanation:

1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z

2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.

Given,

The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.

1) Total cost = d

Total ounces = z

Equation

d = $5 + $0.40z

2) If cup weighs 14 ounces

d = $5 + 0.40(14)

d = $5 + $5.6

Total cost:

d = $10.6

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To solve the quadratic equation \(2x^{2} +29x-6.1=0\) using the quadratic formula, we can use the equation. The solutions for the quadratic equation \(2x^{2} +29x-6.1=0\)using the quadratic formula are:

x = (-b ± \(\sqrt{b^{2}-4ac }\)) / (2a)

Given the coefficients:

a = 2

b = 29

c = -6.1

x = (-29 ± \(\sqrt{841+48.8}\)) / 4

x = (-29 ± \(\sqrt{889.8}\)) / 4

Calculating the square root:

x = (-29 ± 29.828) / 4

Now, let's calculate the two possible values for x:

x1 = (-29 + 29.828) / 4 ≈ 0.207 (rounded to three significant figures)

x2 = (-29 - 29.828) / 4 ≈ -14.957 (rounded to three significant figures)

Therefore, the solutions for the quadratic equation \(2x^{2} +29x-6.1=0\)using the quadratic formula are:

x ≈ 0.207 and x ≈ -14.957 (both rounded to three significant figures).

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Answer:

b

Step-by-step explanation:

I got it right on the quiz

Answer:

It is 53

Step-by-step explanation:

I dont know

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

Given,

The mean number of days that the midge Chaoborus spends in its larval stage = 14.1 days

Standard deviation = 2.2 days

We have to find the z-score for an individual midge that spends 12. 7 days in its larval stage;

Now,

z score = (x - μ) / σ

Here,

x = 12.7

Mean, μ = 14.1

Standard deviation, σ = 2.2

Then,

z score = (x - μ) / σ = (12.7 - 14.1) / 2.2 = -0.636

That is,

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

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Answer:

0

Step-by-step explanation:

So for the first number 5/6. You can round to 1. And for 2/3 it is also close to 1 so you can round to 1.

The answer is near 0.

Does this help?

Answer:

17.6 miles.

Step-by-step explanation:

Use Pythagoreans Theorem to find c.

a^2+b^2=c^2

49 + 9 = c^2

58 =c^2

√58=c

7.6=c

Now add all of your sides together to find the perimeter.

7 + 3 + 7.6 = 17.6 miles.

The perimeter of the triangle is 17.6 units.

The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.

Using the Pythagorean theorem, we can find the length of the hypotenuse c:

c² = a² + b²

c² = 7² + 3²

c² = 58

c = √58 ≈ 7.6 miles

The perimeter is the sum of the three sides:

Perimeter = a + b + c

Perimeter = 7 + 3 + 7.6

Perimeter ≈ 17.6 miles

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