is equal to zero 2.3+(-2.3)
A.true
B.false

A square could be called a rectangle since it has four right angles.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°. Observe the rectangle given below to see its shape, sides and angles.

So,  Every square is a rectangle because it is a quadrilateral with all four angles right angles.

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The number of centimetres in the 1 yard will be 9.144 cm.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Given that:-

Metric System Units

1 inch = 2.54 centimetres

1 foot = 0.3048 meters

1 mile = 1.61 kilometres

1 yard = 3 feet

1 yard = 36 inches

First, we will calculate 1 yard to feet.

1 yard = 3 feet

1 feet = 0.3048 meters

1 feet = 3.048 centimeters

1 yard = 3 x 3.048 centimeters

1 yard = 9.144 centimeters

Hence, the length of 1 yard in cm is 9.144 cm.

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Answer:

DOMAIN: 2, 5, 7

RANGE: 2.3, 2.3, 15

Step-by-step explanation:

Domain is always the first value of the set, and range is always the second value of the set.  Hope it makes sense, and that it helped.

Have a good day! goodluck.

Answer:

9

Step-by-step explanation:

The National Institute for Standards and Technology (NIST) mandates that for every 100 items scanned through the electronic checkout scanner at a retail store, there should be no more than 2 pricing errors.

The NIST has established a requirement for the accuracy of electronic checkout scanners in retail stores. According to this mandate, for every 100 items scanned, the permissible limit for pricing errors is set at a maximum of 2. This means that the checkout scanners should accurately price at least 98 of the scanned items out of every 100.

The purpose of this requirement is to ensure fair and accurate pricing for customers and to maintain consumer trust in the retail industry. By setting a standard for the maximum number of pricing errors allowed, the NIST aims to promote transparency and reliability in retail transactions. Compliance with this mandate helps protect consumers from overcharging or inaccurate pricing and contributes to a more trustworthy shopping experience.

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The equation of the line passing through the point (-8, -7) and perpendicular to the line y = 4x + 3 is y = (-1/4)x - 9.

The linear equation is y = 4x + 3. To determine the slope of this line, we can observe that it is in the form y = mx + b, where m represents the slope. Therefore, the slope of this line is 4.

For a line to be perpendicular to another line, the slopes of the two lines must be negative reciprocals of each other. Since the given line has a slope of 4, the perpendicular line will have a slope of -1/4.

Using the point-slope form of a linear equation, we can write the equation of the line passing through (-8, -7) with a slope of -1/4 as:

y - y1 = m(x - x1)

Substituting the values (-8, -7) and -1/4 into the equation:

y - (-7) = (-1/4)(x - (-8))

Simplifying further:

y + 7 = (-1/4)(x + 8)

Expanding and rearranging:

y + 7 = (-1/4)x - 2

Subtracting 7 from both sides:

y = (-1/4)x - 2 - 7

Simplifying:

y = (-1/4)x - 9

Therefore, the equation of the line passing through (-8, -7) and perpendicular to y = 4x + 3 is y = (-1/4)x - 9.

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Answer:

m∠MKN = 61°

Step-by-step explanation:

Since KN is a perpendicular bisector, m∠NKM and m∠MKJ have to add up to 90°.

Step 1: Set up equation

6x + 7 + 3x + 2 = 90

Step 2: Solve for x

Step 3: Find m∠MKN

m∠MKN = 6x + 7

m∠MKN = 6(9) + 7

m∠MKN = 54 + 7

m∠MKN = 61°

Answer:

61

Step-by-step explanation:

Since JKL is a straight line, it equals 180

JKM + MKN + NKL = 180

3x+2 + 6x+7 + 90 = 180

Combine like terms

9x+99 = 180

Subtract 99 from each side

9x+99-99= 180-99

9x =81

Divide each side by 9

9x/9 = 81/9

x=9

We want MKN

6x+7 = 6*9 +7 = 54+7 = 61

The radius of the circle inscribed in a 9-12-15 triangle is 3 units

The radius of a circle inscribed in a 9-12-15 triangle can be found using the formula for the inradius (r) of a triangle:

r = A/s

where A is the area of the triangle, and s is the semi-perimeter of the triangle.

Step 1: Find the semi-perimeter (s)
s = (a + b + c) / 2
s = (9 + 12 + 15) / 2
s = 36 / 2
s = 18

Step 2: Find the area (A) of the triangle using Heron's formula:
A = √(s(s-a)(s-b)(s-c))
A = √(18(18-9)(18-12)(18-15))
A = √(18(9)(6)(3))
A = √(2916)
A = 54

Step 3: Find the inradius (r) using the formula r = A/s:
r = 54 / 18
r = 3

Therefore, the radius of the circle inscribed in a 9-12-15 triangle is 3.

TIP:  A circle inscribed in a triangle is a circle that touches all three sides of the triangle exactly once, and it is positioned entirely within the triangle.

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Hello!

[(4πr³)/3]/2

r = 7,5yd

[4 *3,14*7,5³/3]/2

=> 883, 125yds ³

Answer:

The correct option is D.

Step-by-step explanation:

Let x denote the years.

The information provided is:

From the provided data derive the equation for the population of Smallville x years after as follows:

\(Y = [\frac{1}{2}\cdot (7420-152x)]-1200\)

The population of Smallville is 2282 after x years.

Compute the value of x as follows:

\(2282= [\frac{1}{2}\cdot (7420-152x)]-1200\)

\(\frac{7420-152x}{2}=2282+1200\\\\7420-152x=3482\times 2\\\\152x=7420-6964\\\\152x=456\\\\x=3\)

Thus, the time it will take for Smallville's population to reach 2282 is 3 years.

The correct option is D.

9514 1404 393

Answer:

  47.71

Step-by-step explanation:

Two "special" triangles are involved.

ΔSWR is a 30°-60°-90° right triangle, so will have sides in the ratio 1 : √3 : 2.

ΔUVW is a 45°-45°-90° right triangle so will have sides in the ratio 1 : 1 : √2.

For ΔSWR, the side SW is given as 6, so the other sides are ...

  WR = 6√3

  RS = 2(6) = 12

For ΔUVW, the side WU is given as 8, so the other sides are ...

  UV = VW = 8/√2 = 4√2

Then the perimeter of the figure is ...

  P = RS +ST +TU +UV +VW +WR

  P = 12 +8 +6 +4√2 +4√2 +6√3 ≈ 47.71

Answer:

#3- a^2 +2ab +b^2

#4- a^2 -b^2

Step-by-step explanation:

10^2 = 100

7.4 × 10^2 = 7.4 × 100 = 740

Answer:

How many bottles of juice should they get, so that each child gets the same ... E. David used exactly 8 cups of flour to make 6 loaves of bread. ... 1 At a pizza party, 5 people will equally share 3 pizzas. ... 4 pineapple fruitcakes for a bake sale to raise money for the school band. ... containers left with ½ cup each of hot fudge.

Step-by-step explanation:

Answer:

surface area of a cone = 132.935πft

Step-by-step explanation:

to find the surface area of a cone

given that

radius = 5ft

height of cone = 21ft

recall that the formulae for finding the surface area of a cone = πr( r + √ h² + r²)

so,

surface area of a cone = πr( r + √ h² + r²)

surface area of a cone = π x 5( 5 + √ 21² + 5²)

surface area of a cone = 5π ( 5 + √ 441 + 25)

surface area of a cone = 5π( 5 + 21.587)

surface area of a cone = 5π (26.587)

surface area of a cone = 132.935πft

Answer:

If you want just the area of the circle (the surface area) then it is 78.5

Step-by-step explanation:

radius=5

\(5^{2} =25\)

π=3.14

25×3.14= 78.5

Answer:

5 - 25.13 cm

6 - 282.74 cm

7 - 13.19 mi

8 - 6.28 cm

Step-by-step explanation:

circumference = radius x pi x 2

to find radius just divide the diameter by 2

(D)  \(g(x)=(x-4)^{2}\)

Therefore, the correct equation for the blue graph is \(g(x)=(x-4)^{2}\).

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The equation to determine p, which is the total number of player at the basketball game, is 12 = p x 3 / 4 .

The number of players at the basketball game is 16 players .

The equation to find the number of players is;

Players who chose water = total players x proportion of players who chose water

12 = p x 3 / 4

This means that solving for p gives :

12 = p x 3 / 4

12 ÷ 3 / 4 = p

p = 12 ÷  3 / 4

p = 12 / 0.75

p = 16 players

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The 3(1/√(x² + y² + z²)) is a nonzero constant, there is no value of p that makes the divergence zero.

To find the divergence of the vector field f = r/r p, we need to compute the dot product of the gradient operator (∇) with f.

The gradient operator in Cartesian coordinates is given by:

∇ = ∂/∂x i + ∂/∂y j + ∂/∂z k

And the vector field f can be written as:

f = r/r p = (xi + yj + zk)/(√(x² + y² + z²)) p

Now, let's compute the dot product:

∇ · f = (∂/∂x i + ∂/∂y j + ∂/∂z k) · [(xi + yj + zk)/(√(x² + y² + z²)) p]

Taking each component of the gradient operator and applying the dot product, we get:

∂/∂x · [(xi + yj + zk)/(√(x² + y² + z²)) p] = (∂/∂x)(x/√(x² + y² + z²)) p

= (1/√(x² + y² + z²)) p

∂/∂y · [(xi + yj + zk)/(√(x² + y² + z²)) p] = (∂/∂y)(y/√(x² + y² + z²)) p

= (1/√(x² + y² + z²)) p

∂/∂z · [(xi + yj + zk)/(√(x² + y² + z²)) p] = (∂/∂z)(z/√(x² + y² + z²)) p

= (1/√(x² + y² + z²)) p

Adding up these components, we have:

∇ · f = (1/√(x² + y² + z²)) p + (1/√(x² + y² + z²)) p + (1/√(x² + y² + z²)) p

= 3(1/√(x² + y² + z²)) p

So, the divergence of f is given by:

div f = 3(1/√(x² + y² + z²)) p

Now, we need to find if there exists a value of p for which div f = 0. Since 3(1/√(x² + y² + z²)) is a nonzero constant, there is no value of p that makes the divergence zero. Therefore, the answer is "dne" (does not exist).

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Answer:

is the name of your school alpha omega, because i recogize the bottom of the page

Step-by-step explanation:

Answer:

b) 2 Km para o leste

Step-by-step explanation:

1. 2 km N

2. 2 km W

3. 1 km S

4. 4 km E

5. 2 km S

Sul e Norte:

(1.) 2 km N + (3.) 1 km S + (5.) 2 km S = 2 km - 1 km - 2 km = 0

Este e Oeste:

(2.) 2 km W + (4.) 4 km E = -2 km + 4 km = 2 km E

Veja imagem abaixo.

Answer:

40

Step-by-step explanation:

14*35/100% = 40% because 14 is 2/5 of 35, meaning that it equals 40%

Answer:

\(volume = 2304\pi \ mm^3\\\\volume = 7234.56 \ mm^3\)

Step-by-step explanation:

Radius , r = 12mm

\(Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi (12^3)\\\\\)

                      \(=\frac{4}{3} \pi \times 1728\\\\= 4\pi \times 576\\\\= 2304 \pi \ mm^3\\\\or \\\\= 7234.56 \ mm^3\)

Answer:

x = 11

Step-by-step explanation:

7x + 3(3x + 6) = 194

open the parenthesis

7x + 3 * 3x + 3 * 6 = 194

7x + 9x + 18 = 194

subtract 18 from both sides of the equation

7x + 9x + 18 - 18 = 194 - 18

combine like terms

7x + 9x = 194 - 18

16x = 176

divide both sides of the equation by 16

16x/16 = 176/16

x = 176/16

x = 11

To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.

Distance Formula:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the distance formula, we can calculate the lengths of the three sides of the triangle:

Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68

Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34

Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34

Slope Formula:

The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

Using the slope formula, we can calculate the slopes of the three sides of the triangle:

Slope AB:

m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4

Slope BC:

m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5

Slope AC:

m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3

From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.

Therefore, triangle ABC is an isosceles right triangle.

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The points H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4) can either be a relation or a function

The points are given as:

H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4)

See attachment for the graph of the points

This is the set of the x coordinates of the points

Hence, the domain is: [-3,-1,0,3]

This is the set of the y coordinates of the points

Hence, the range is: [-4,4,7,8]

Recall that the points are:

H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4)

Rewrite the points using mapping

\(\left[\begin{array}{c}3&0&-1&-3\end{array}\right] \to \left[\begin{array}{c}7&4&8&-4\end{array}\right]\)

None of the x values point to multiple y values.

Hence, the ordered pair is a function

The function is given as:

\(f(x) = x^2\)

When x = -1, we have:

\(y = (-1)^2 =1\)

For other values, we have:

\(y = (0)^2 =0\)

\(y = 1^2 =1\)

\(y = 2^2 =4\)

Hence, the complete table is:

\(\left[\begin{array}{ccc}x&f(x) = x^2&f(x)\\-1&y= (-1)^2&1\\0&y= 0^2&0&1&y= 1^2&1&2&y= 2^2&4\end{array}\right]\)

Hence, the range of the function is \(y \ge 0\)

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Answer:

3i√11

I believe that’s the square root

Question 13.

The estimated monthly cost of an energy-efficient refrigerator is $57, meaning the yearly cost is

Question 14.

The least energy-efficient refrigerator costs $72 per month, meaning the annual cost is

Therefore, the amount you will save on an energy-efficient refrigerator be

Hence, the amount saved on an energy-efficient refrigerator will be $180.