HELP PLEASE!!! A square is a quadrilateral with four equal sides and four equal angles. Determine an expression for the perimeter of a square, given that each side has a length of 7m+1/3 units.

a. 28m+4/3
b. 2(7m+1/3 + 7m+1/3)
c. 7m+1/3 + 7m+1/3 + 7m+1/3 + 7m+1/3
d. 7m+1/3^4
e. (4) x 7m+1/3

it is multiple choice

Answer:

8 squared units

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

Rectangle:

To find the area of the rectangle, we need to mutiply the base and the height. 3 units(base) x 2 units(height) = 6 squared units

Triangle:

To find the area of the triangle is very similar to finding the area of the rectangle. We need to multiply the base and the height and divide it by 2.

Base= 2 units(since it is a rectangle, the opposite side is the same length)

Height = 2 units

Next, we plug it in to this formula: 1/2 bh (b = base and h = height)

multiplying by one half is the same as dividing by 2

The area of the triangle is 2 x 2 = 4

4 divided by 2 = 2 squared units

For the final step, we add the areas together. (6+2 = 8) the label is very important (squared units)

Answer:

The scale factor is 2.

Step-by-step explanation:

Divide 2 by 1 then you get 2. I got the 2 and the one from the shapes. So don’t get confused ;)

Answer:

(109x²+140xy+18xz+49y²+160yz+73z²) centimeters

Step-by-step explanation:

perimeter = sum of all sides

side A = (10x+7y)(10x+7y)

= 100x² +70xy +70xy +49y²

= (100x² +140xy +49y²) centimeters

side B = (3x+3z)(3x+3z)

= 9x² +9xz +9xz +9z²

= (9x² +18xz +9z²) centimeters

side C = (8z+10y)(8z+10y)

= 64z² +80yz +80yz +100y²

= (64z² +160yz +100y²) centimeters

Perimeter = 100x²+140xy+49y² + 9x²+18xz+9z² + 64z²+160yz+100y²

collect like terms

= 100x² +9x²+140xy+18xz+49y²+160yz+9z²+64z²

= (109x²+140xy+18xz+49y²+160yz+73z²) centimeters

Answer: 13x+17y+11z

Step-by-step explanation:

Answer:

$289,169.84 (to the nearest cent)

Step-by-step explanation:

Compound interest is based on the principal amount and the interest that accumulates on it in every period.

Compound Interest = P (1 + r)^n

where P = principal amount, r = annual interest rate (as a decimal), n = term, in years​

So for this problem:

P = 185000

r = 1.4 ÷ 100 = 0.015

n = 30

Therefore,  

Compound Interest = P (1 + r)^n

                                = 185000 x (1 + 0.015)^30

                                = 185000 x (1.015)^30

                                = 289169.8408...

                                = $289,169.84 (to the nearest cent)

Answer Hey There!

To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.

Step-by-step explanation:

The requried, to find the scale factor and dilation of an object or figure, the steps are shown below.

To find the scale factor and dilation of an object or figure, you need to compare its dimensions before and after the transformation. Here are the general steps to determine the scale factor and dilation:

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Answer:

I believe it is $63.60..........

The exponent in Sam’s product is -5.

What does a math exponent mean?

Let us first multiply 500 with 3. 625×10-8

3. 625×10-8  × 500 = 1812.5 × 10⁻⁸

Then Sam has reported this answer in scientific notation

The format for writing a number in scientific notation is

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In 1812.5 × 10⁻⁸  we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by 10³

1812.5 × 10⁻⁸ = 1812.5 × 10⁻⁸ × 10³

1812.5 × 10⁻⁸  = 1812.5 × 10⁻⁵

Exponent is a quantity representing the power to which a given number or expression is to be raised

1812.5 × 10⁻⁵ exponent is -5

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Answer:

90,000

Step-by-step explanation:

Answer:

12.33

Step-by-step explanation:

Triangle ABC and triangle XYZ are similar.

Side BC = Side YZ

48 : 8

Side CA = Side ZX

42 : 7

Divide them both

48 ÷ 8 = 6

42 ÷ 7 = 6

Side AB = Side XY

74 : ?

Divide 74 by 6

74 ÷ 6 = 12.33

Side AB is 12.33

Answer:

63.75

Step-by-step explanation:

Hundredth is the second digit after the decimal so use the third digit to round the second.

If the digit you are using to round is \(\leq\)4 then round down.

If the digit you are using to round is \(\geq\)5 then round up.

Answer:

22

Step-by-step explanation:

just subtract 55-33

Depending on the size and thickness of the box, a certain amount of metal is required to cast a cubical metal box.

Depending on the size and thickness of the box, a certain amount of metal is required to cast a cubical metal box. In general, more metal is required for larger, thicker boxes. One must first calculate the box's volume in order to determine how much metal is required. The box's length, width, and height can be multiplied together to get this. The thickness of the metal must next be determined. The total amount of metal required can be estimated by multiplying the volume of the box by the thickness of the metal once the volume and thickness of the metal have been established. For instance, consider a box with dimensions of 6 inches long, 6 inches wide, and 6 inches high and a metal thickness.

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The value of the variable 'x' by simplifying the equation (x + 12) / (x + 5) = (x + 5) / x will be 12.5.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

Then the equation is given as,

(x + 12) / (x + 5) = (x + 5) / x

Simplify the equation, then we have

(x + 12) / (x + 5) = (x + 5) / x

x² + 12x = (x + 5)²

x² + 12x = x² + 10x + 25

12x - 10x = 25

Further, simplify the equation, then we have

2x = 25

x = 25/2

x = 12.5

The value of the variable 'x' by simplifying the equation (x + 12) / (x + 5) = (x + 5) / x will be 12.5.

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The expressions are evaluated below

Expression 1: 4 < 7

Multiplying both sides by 3, 2, 4, and 9 respectively:

3 * 2 * 4 * 9 * (4 < 7)

864 < 1515

Expression 2: 11 > -2

Adding 3 to both sides, then adding 3, then adding (-4) respectively:

3 + 3 - 4 + (11 > -2)

13 > 0

Expression 3: -2 = -2

Subtracting 6 from both sides, then adding 8, then adding 2 respectively:

-2 + 6 + 8 + 2 = -2 + 6 + 8 + 2

14 = 14

Expression 4: -4 < 8

Dividing both sides by -4, then by -2 respectively:

-4/(-4 * -2) < 8/(-4 * -2)

-1/2 < 1

The operations performed on the inequalities in each question did not affect the inequality sig.

The truth of the inequality was also not affected by the operations in all cases.

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Answer:

i think its 2/3

Step-by-step explanation:

The mechanical advantage of a pulley system can be calculated by dividing the load by the force required to lift the load.

Based on the problem statement provided, here is a possible solution: The problem statement given is incomplete. It is necessary to complete the problem statement before it can be solved. Also, no diagram is given. However, I can provide some general information regarding pulleys and their use in mechanics. Pulleys are an essential part of mechanics.  

The more pulleys that are used, the easier it is to lift the load.The mechanical advantage of a pulley system is determined by the number of ropes or cables running through the pulleys. Each additional rope or cable increases the mechanical advantage of the system. The mechanical advantage is the ratio of the force applied to the load to the force required to lift the load.

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When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.

About Binary Search Algorithm

The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.

The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.

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a) The most number of potato "x" she can spend $5 on will be 10potatoes

b) The cost of 15 potatoes is $7.5

1) From the question, the corner market sells potatoes at a rate of 1/2 dollars per potato.

If Amanda is able to spend $5 on potatoes, the most number of potato "x" she can spend will be:

Divide both expressions to get the most number of potatoes "x"

Hence the most number of potato "x" she can spend $5 on will be 10potatoes

Using the tape diagram;

2) Since 1 potato cost $0.5, the cost of 15 potatoes will be expressed as:

Cost of 15 potatoes = 0.5 * 15

Cost of 15 potatoes = $7.5

Hence the cost of 15 potatoes is $7.5

Answer:

126 sq metres

Step-by-step explanation:

area of triangle = 0.5 X base length X height

surface area = base square + 4 (triangles)

= (6X6) + 4(0.5 X 6 X 7.5)

= 36 + 4(22.5)

= 36 + 90

= 126 (sq metres)

The real-valued general solution of the differential equation (D² + 1)y = 4t cos t is y = C₁cos(t) + C₂sin(t) + t sin(t).

To solve the given differential equation (D² + 1)y = 4t cos t using D-operator methods, we assume the solution has the form y = Ae^(rt).

Differentiating y with respect to t, we have y' = rAe^(rt) and y'' = r²Ae^(rt).

Substituting these derivatives into the differential equation, we get (r² + 1)Ae^(rt) = 4t cos t.

Since the right-hand side of the equation is not in the form of e^(rt), we assume a particular solution of the form y_p = t(C₁cos(t) + C₂sin(t)).

Taking the derivatives of y_p and substituting them into the differential equation, we get (D² + 1)y_p = 4t cos t.

Comparing the coefficients of like terms, we find that C₁ = 0 and C₂ = 1.

Therefore, the real-valued general solution of the differential equation is y = Ae^(rt) + t sin(t).

Simplifying the solution, we get y = C₁cos(t) + C₂sin(t) + t sin(t), where C₁ and C₂ are constants.


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The probability that the satellite system operates adequately is 0.7056.

The probability that a component is not functional is 0.4. Therefore, the probability that a component is functional is 1-0.4=0.6.
Using the rule of combinations, there are 6 possible combinations of functional and non-functional components:
1. All 4 components are functional: (0.6)^4=0.1296
2. 3 components are functional: (0.6)^3(0.4)=0.3456
3. 2 components are functional: (0.6)^2(0.4)^2=0.2304
4. 1 component is functional: (0.6)(0.4)^3=0.0256
5. No components are functional: (0.4)^4=0.0256
6. At least 2 components are functional: P(2 or 3 or 4) = 0.1296 + 0.3456 + 0.2304 = 0.7056
Therefore, the probability that the satellite system operates adequately is 0.7056.

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Answer:

Discount is $2.50

Sale price is $22.50

Step-by-step explanation:

You can write 10% as 0.10.

Figure out the discount.

$25 x 0.10 = $2.50

The discount is $2.50

The new sale price is the original (normal) price minus the discount.

$25 - $2.50 = $22.50 is the new sale price

Even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

Let R be a relation that is reflexive and transitive. We want to prove that R2 = R for any relation R with these two properties.

To prove this, we need to show that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R.

First, let's consider (a, b) ∈ R2. By definition, (a, b) ∈ R2 means that there exists an element c such that (a, c) ∈ R and (c, b) ∈ R.

Since R is reflexive, we know that (a, a) ∈ R and (b, b) ∈ R.

By the transitivity of R, if (a, c) ∈ R and (c, b) ∈ R, then (a, b) ∈ R.

Therefore, (a, b) ∈ R2 implies (a, b) ∈ R.

Now, let's consider (a, b) ∈ R. Since R is reflexive, we have (a, a) ∈ R and (b, b) ∈ R.

By the definition of R2, (a, a) ∈ R2 and (b, b) ∈ R2.

Since R is transitive, if (a, a) ∈ R2 and (a, b) ∈ R2, then (a, b) ∈ R2.

Therefore, (a, b) ∈ R implies (a, b) ∈ R2.

We have shown that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R. Hence, R2 = R.

If the relation R is anti-reflexive, it is not necessarily true that R2 is anti-reflexive.

To understand why, let's consider an example. Let R be a relation defined on the set of integers such that R contains the ordered pairs (a, b) where a < b.

In this case, R is anti-reflexive because for any integer a, (a, a) is not in R.

Now, let's consider R2. R2 is the composition of R with itself. If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R2.

In our example, if we take a = 1, b = 2, and c = 3, we have (1, 2) ∈ R and (2, 3) ∈ R. Therefore, (1, 3) ∈ R2.

However, (1, 1) is not in R2 because (1, 1) is not in R. Therefore, R2 is not anti-reflexive in this case.

This example demonstrates that even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

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Answer:

955

Step-by-step explanation:

8 squared = 64

x 3 X 5 = 960

-5

= 955

Answer:

4.) y=x-16

Step-by-step explanation:

Here,

y=4,

x=20

Now,

putting the value of x and y.

or, 4=20-16

or, 4+16=20

∴20=20

Answer:

im not sure i got stuck here ;; but i started sort of

Step-by-step explanation:

The first step is to get the inner angles. I'll start with the one at 60 degrees and call it A and go counter clockwise

A flat angle is 180 and -60 makes it 120 = Angle A

180-100=80=B
180-20=160=C

Then when you're trying to calculate a figure with more than 4 corners, you're supposed to divide them into triangles. Now we have a hexagon and the total degrees is 720. And we know that we have 2 6x and they're the angles

The new limits of integration for the given integral are L = ∫∫L = ∫∫(u, v) ∈ unit circle.

To evaluate the given integral using the given transformation, we need to find the new limits of integration (L) after performing the transformation.

The transformation provided is:

x = √(8/11)u - √(8/29)v

y = √(8/11)u - √(8/29)v

We are given that the region R is bounded by the ellipse equation: \(10x^2 - 9xy + 10y^2 = 8.\)

Substituting the values of x and y from the transformation into the equation of the ellipse, we have:

\(10(√(8/11)u - √(8/29)v)^2 - 9(√(8/11)u - √(8/29)v)(√(8/11)u - √(8/29)v) + 10(√(8/11)u - √(8/29)v)^2 = 8.\)

Simplifying this equation, we get:

8u^2 + 8v^2 = 8.

Dividing both sides by 8, we have:

\(u^2 + v^2 = 1.\)

This represents the unit circle in the uv-plane. Thus, the transformed region L corresponds to the unit circle.

Therefore, the new limits of integration for the given integral are L = ∫∫L = ∫∫(u, v) ∈ unit circle.

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The equation of the line is y = x. Then the rule of reflection is (x, y) ⇒ (y, x).

It is the image of the point which is located in the opposite direction of a given point.

The rule of the refection is given will be

Firstly, the rule for reflecting a point about the line y = x is;

While reflecting on the line y = x, we get the reflected points by swapping the coordinates.

The equation of the line that passes through (0, 0) and (1, 1) is given as,

y - 0 = [(1 - 0) / (1 - 0)](x - 0)

y = x

The equation of the line is y = x. Then the rule of reflection is given as,

(x, y) ⇒ (y, x)

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Answer: x = -7

Step-by-step explanation:

7(x + 4) = -21

x + 4 = -3

x = -7

Answer:

-7 because -7 + 4 is -3 and 7 x -3 is -21

Step-by-step explanation: