how many vertices and edges dose this shape have?

The value of the expressions are;

a. 2x² + 6

b. 3x² - 6x + 2x -6

c. y = 3

d. x = 2

From the information given, we have

a. 2x(x + 3)

expand the bracket

2x² + 6

b. (3x + 2)(x-3)

expand the bracket

3x² - 6x + 2x -6

c. 4y -2(6-y) = 6

expand the bracket

4y - 12 + 2y = 6

collect like terms

6y = 18

Then,

y = 3

d.  x(2x-4)= (2x + 1)(x-2)

expand bracket

2x² - 4x = 2x² - 4x + x - 2

collect like terms

x = 2

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The temperature inside the building when the heat was turned on at 6 am was approximately 57.4 F

To solve this problem, we can use the formula for heat transfer:

Q = mcΔT

where Q is the amount of heat transferred, m is the mass of the air, c is the specific heat of air, and ΔT is the change in temperature.

First, we can calculate the amount of heat lost from the building between 10 pm and 2 am. Assuming the building is a closed system, the amount of heat lost must be equal to the amount of heat gained by the outside environment. We can assume that the mass of air in the building remains constant, and use the specific heat of air at constant volume, which is approximately 0.718 J/g·K.

Q = mcΔT = (m)(0.718)(65-70) = -3.59m

Next, we can calculate the amount of heat gained by the building between 2 am and 6 am. Again, assuming the building is a closed system, the amount of heat gained must be equal to the amount of heat lost by the outside environment. We can assume that the mass of air in the building remains constant, and use the same specific heat of air at constant volume.

Q = mcΔT = (m)(0.718)(T-65)

where T is the temperature inside the building at 6 am. We can set this equal to the heat lost by the outside environment:

Q = -3.59m

Using the average temperature of 45 f for the outside environment, we can calculate the change in temperature between 10 pm and 6 am:

ΔT = (45-70) = -25

So the amount of heat lost by the outside environment is:

Q = mcΔT = (m)(0.718)(-25) = -17.95m

Setting this equal to the heat gained by the building:

(m)(0.718)(T-65) = -17.95m

Simplifying and solving for T, we get:

T = 57.4 F

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Answer:

10

Step-by-step explanation:

i love how you look like a dinosaur

The possible height of Natasha's little brother is less than or equal to 4.5 feet. We can write the final inequality as: b ≤ 4.5

Let's denote the height of Natasha as "n" and the height of her little brother as "b".

We know that Natasha is one foot taller than her little brother, so we can write:

n = b + 1

We also know that Natasha's height is no more than 5-1/2 feet, so we can write:

n ≤ 5.5

Now we can substitute the first equation into the second equation and get:

b + 1 ≤ 5.5

Simplifying this inequality, we get:

b ≤ 4.5

Therefore, the possible height of Natasha's little brother is less than or equal to 4.5 feet. We can write the final inequality as:

b ≤ 4.5

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Answer:

e would equal a half because it's in the middle

The required answers are,

a) 675.75 [tex]ft^2[/tex]

b) 9.46 gallons or we can say that 10 gallons needed.

c) $183.2

The amount of unit squares that cover a closed figure's surface is its area. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.

Now in the given question,

Area of Walls:

[tex]A(walls)=2(11*8)+2(20*8)\\A(walls)=2(88)+2(160)\\A(walls)=176+320\\A(walls)=496 ft^2[/tex]

Area of 2 windows:

[tex]A(windows)=2(3*4)\\A(windows)=2*12\\A(windows)=24 ft^2[/tex]

Area of door:

[tex]A(door)=2.5*6.5\\A(door)=16.25 ft^2[/tex]

Area of walls to be painted:

[tex]=A(walls)-A(windows)-A(door)\\=496-24-16.25\\=455.75ft^2[/tex]

Area of ceiling:

[tex]A(ceiling)=11*20\\A(ceiling)=220ft^2[/tex]

(a) Now total area to be painted:

A(walls to be painted)+ A(ceiling)=A(total)

[tex]A(total)=455.75 ft^2+220ft^2\\A(total)=675.75 ft^2[/tex]

(b) Number of Gallons:

coverage=71.41 ft^2 /gallon

675.75 ft^2/71.41 ft^/gal=gallons needed

9.46 gal= 10 gallons needed(approx)

(c) Cost of Paint:

You would need to buy 10 gallons at $18.32/gallon to have sufficient paint

cost=10 gallons x $18.32/gallon

=$183.2

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The length of CF is given as 45 cm

Since AE is the altitude of the parallelogram ABCD, it is perpendicular to the base DC. Similarly, CF is the altitude of the triangle ACD, and it is perpendicular to the base AD.

Let's use the properties of parallelograms and triangles to solve for the area and length of CF.

Since ABCD is a parallelogram, we know that opposite sides are parallel and equal in length. Therefore, BC = AD = 6 cm.

To find the area of the parallelogram, we can use the formula:

ar(ABCD) = base × height

We can choose any base and height, as long as they form a right angle. Since we know AE is the altitude of the parallelogram, we can use it as the height. Let's choose base AB, which is perpendicular to AE. Therefore,

ar(ABCD) = AB × AE = 12 cm × 7.5 cm = 90 cm²

So, the area of the parallelogram ABCD is 90 cm².

Now, let's find the length of CF. Since CF is the altitude of the triangle ACD, we can use the formula for the area of a triangle:

ar(ACD) = 1/2 × base × height

where the base is AD and the height is CF. We know the area of the triangle ACD is half the area of the parallelogram ABCD, which is 90/2 = 45 cm². Therefore,

45 cm² = 1/2 × 6 cm × CF

Simplifying this equation, we get:

CF = (45 cm² × 2) / (6 cm) = 15 cm

So, the length of CF is 15 cm.

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The volume of the cone in terms of π is 96π inches³.  

The cone has a base radius of 6 inches and the height of the cone is 8 inches. Therefore, the volume of cone can be found as follows:

volume of cone = 1 / 3 πr²h

where

Therefore,

r = 6 inches

h = 8 inches

Hence,

volume of cone = 1 / 3 × π × 6² × 8

volume of cone = 1  / 3 × π × 36 × 8

volume of cone = 12 × 8 × π

volume of cone = 96π inches³

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The probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours is 0.835.

In the question Justin has a bird feeder which gets visited by an average of 18 birds every 2 hours during daylight hours and we have to find what is the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours.

This can be calculated using the Poisson distribution formula, P(X > 5) = 1 - P(X ≤ 5).

P(X > 5) = 1 - P(X ≤ 5)

= 1 - (P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5))

= 1 - (0.0022 + 0.0133 + 0.0514 + 0.1245 + 0.2141 + 0.2769)

= 0.8351

Therefore, the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours is 0.835.

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B=3b-b

C= 2b expressions are equivalent to 4 � 4b4, b .

b+2(b+2b)=b+2(3b)=b+6b=7b

3b+b=4b

2(2b)=4b Option B and C produce the outcome 4b. They are the expressions that are comparable to 4b as a result. We can also get an equivalent equation by multiplying or dividing both sides of an equation by the same nonzero value. If x4=2x+7, we can add 4 to both sides to get the following equation, which is equivalent: x4+4=2x+7+4. Of course, both sides of the equation can be made simpler. Constants x=2x+7+4 on the left side cancel each other out. If two systems of equations have the same solution, they are equivalent (s). In algebra, two equations are said to be equivalent if their roots or solutions are the same. The same number, symbol, or expression must be added to or subtracted from both sides of an equation to produce an equivalent equation.

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The two unique values of sin theta in radians are

The sine function has a range of [-1, 1], so there are multiple angles that correspond to a sine of 1/2.

The most commonly used values are π/6 (30 degrees) and 7π/6 (150 degrees), which are in the first quadrant and second quadrant and have a positive sine value of 1/2.

It's worth noting that there are an infinite number of angles that correspond to a given sine value, since the sine function has period 2π. These angles are related to the angles by adding or subtracting multiples of 2π.

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If p and q vary inversely and p = 14 when a = 4, then the work is  q = 8, p = 7.

What is inverse proportionality?

Inverse proportionality occurs when x increases and y decreases, and when x decreases and y increases.

If p and q vary inversely, this means that their product is constant:

p * q = k

where k is a constant. We can use this relationship to solve the problem.

We are given that when a = 4, p = 14. This means that:

p * a = k

14 * 4 = k

56 = k

So we know that the product of p and a is 56.

To find p when q = 8, we can use the fact that p and q vary inversely. This means that:

p * q = k

We know that k = 56, so we can substitute:

p * q = 56

We are given that q = 8, so we can substitute this as well:

p * 8 = 56

Solving for p, we get:

p = 56 / 8 = 7

Therefore, when q = 8, p = 7.

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For the given system of equations, the answers are of the given choices (A), (B) and (D).

A group of two or more equations with shared variables is referred to as a system of linear equations. Finding the value of the unknown variables employed in the equations that must satisfy both equations is necessary to solve a system of equations.

Given equations are -

y - 10 = 2x ⇒ y = 2x + 10

1/2y = x + 5 ⇒ y = 2x + 10

We can observe from the equation, that both the lines are same,

So any pair of values (x, y) that satisfy the equation y = 2x + 10 is a solution to the system. For example:

(0, 10) is a solution, since y = 2(0) + 10 = 10 and (1/2).10 = 0 + 5 =

(1, 12) is a solution, since y = 2(1) + 10 = 12 and (1/2).12 = 6 = 1 + 5

(2, -6) is a not solution, since y = 2(2) + 10 = 14 and (1/2)(-6) = 7 = 2 + 5

(-5, 0) is a solution, since y = 2(-5) + 10 = 0 and (1/2)(0) = 0

Therefore, the answer is of the given choices are (A), (B), (D).

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Answer:

Step-by-step explanation:

First, add 7 to all parts of the inequality to isolate x.

-10+7 < 3x-7+7 ≤ 5+7

-3 < 3x ≤ 12

Then divide all sides by 3.

-1 < x ≤ 4

So x is greater than -1 but less than or equal to 4.

This can be written as (-1, 4] in interval notation.

The height of the hill in the painting 3 inches from the left side of the picture is 30 Inches. Option C

From the information given, we have that;

We also have that the function is;

h(x) =-(x)(x-13)

Given that the distance is 3 inches

Substitute the values, we have;

h(3)= -(3)(3-13)

substract the values

h(3) = (-3)(-10)

multiply the values

h(3) = 30 inches

Hence, the value is 30 inches

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Answer:

Gavin made a Profit of $66.69 that is 93% Profit

Step-by-step explanation:

First, we calculate the Selling Price of Jeans after converting from GBP to USD on the given rate:

Rate: £1 = $1.34

Quantity: 3

Price in USD = Selling Price per pair * Rate in USD

£34.50 * 1.34 = $46.23 per pair of jeans.

Total Selling Price = Price Per Pair * Quantity
= 46.23 * 3
= $138.69

Total Profit = Total Selling Price - Total Cost Price
= $138.69-$72
= $66.69

Percentage of Profit = Total Profit / Total Cost Price
=66.69 / 72
=92.65

Therefore, the Profit Percentage is 92.65 % the nearest whole number would be 93%

To calculate Gavin's percentage profit, find the difference between the selling price and the buying price, and calculate the percentage of the buying price that the profit represents.

To calculate Gavin's percentage profit, we need to find the difference between the selling price and the buying price, and then calculate the percentage of the buying price that the profit represents.

Gavin's percentage profit is approximately 92.6%.

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The table is completed using this function rule y = 4x + 2 is given below.

x            -2            0             2            4

y            -8            2            10           18

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

y = 4x + 2

At x = - 2, the value of 'y' is given as,

y = 4 × (-2) + 2

y = - 8 + 2

y = - 6

At x = 0, the value of 'y' is given as,

y = 4 × (0) + 2

y = 0 + 2

y = 2

At x = 2, the value of 'y' is given as,

y = 4 × (2) + 2

y = 8 + 2

y = 10

At x = 4, the value of 'y' is given as,

y = 4 × (4) + 2

y = 16 + 2

y = 18

The table is completed using this function rule y = 4x + 2 is given below.

x            -2            0             2            4

y            -8            2            10           18

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Step-by-step explanation:

Please here it is.

Given y = 4x + 2

Answer:

6x-3 - (x-1) is the expression.

You want to make sure to bring the - over both the "x" and the "-1". You end up with the expression 5x-2. I need more info to "evaluate the expression", it is not possible to evaluate it currently because of limited information on what the expression would equal.

Kyle: Rotation about the origin, then reflection across the x axis

Tina: Reflection over the line y = x

In geometry, reflection refers to a transformation that involves flipping a shape or object over a line, often called the "line of reflection".

This transformation preserves the size and shape of the original object, but changes its orientation by reversing the positions of all its points across the line of reflection.

Considering the image, rotation about the origin, then reflection across the x axis when compare with Reflection over the line y = x. will yield similar result.

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In the linear equation y=2x+3, if x increases by 4 points, the y will increase by 8 points.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation's graph will always be a straight line. A linear equation is expressed using the linear equation formula. There are numerous ways to accomplish this. A linear equation, for instance, can be written in standard form, slope-intercept form, or point-slope form. 

According to that,

y=2x+3 is the linear equation.

x will now rise by 4 points.

According to the data given, the calculation is as follows:

x = x + 4

So = 2(x)

= 2(x + 4) + 3

= (2x + 3) + 8

= y + 8

Eight points should be added to the y.

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Answer: A

Step-by-step explanation: This is how to solve: 3239 / (36 *365)

That's 0.246499239 kills per day, so none died

I hope this helped!

Angle of elevation = tan-1 (150/3168).Angle of elevation = 5.0°The angle of elevation of the road is 5.0°.

In order to calculate the angle of elevation of a road, we need to know the vertical distance it has changed and the horizontal distance it has travelled. In this case, we have a vertical distance of 150 feet and a horizontal distance of 0.6 miles. Since there are 5280 feet in a mile, this is equivalent to 3168 feet .Using the formula for angle of elevation, we can calculate the angle of elevation for this road Angle of elevation = tan-1 (vertical distance/horizontal distance)Angle of elevation = tan-1 (150/3168).Angle of elevation = 5.0°Therefore, the angle of elevation of the road is 5.0°.

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To compare the two investment options, we must compute the future value (FV) of each account after 30 years of compounding at a 2.5% rate.As an outcome, the IRA will have a future value that is $107,116.33 greater than the Roth IRA.

We have monthly payments of $416.66 for 30 years, or 360 months, on the IRA. Using the following formula to calculate the future value of an annuity:

[tex]FV = PMT * [(1 + r)^n - 1] / r[/tex]

We can calculate the future value of the IRA using the following formula: where PMT is the monthly payment, r is the monthly interest rate (2.5% / 12), and n is the number of payments (360):

[tex]FV IRA = 416.66 * [(1 + 0.025/12)^360 - 1] / (0.025/12) = $358,888.91[/tex]

We have annual payments of $5000 for 30 years on the Roth IRA. Using the following formula to calculate the future value of a lump sum:

[tex]PV * (1 + r)n = FV[/tex]

where PV is the present value (the lump sum), r is the annual interest rate (2.5%), and n is the number of years (30), we can calculate the Roth IRA's future value:

5000 * (1 + 0.025)30 = $251,772.58 FV Roth

As a result, the IRA will outperform the Roth IRA in terms of future value by:

$358,888.91 - $251,772.58 = $107,116.33 FV IRA - FV Roth

As a result, the IRA will have a future value that is $107,116.33 greater than the Roth IRA.

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The values of x for which f(x) = g(x) are -1 and 4

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

f(x) = -2x + 4

g(x) = x^2 - 5x

Using the above as a guide, we have the following:

Using the above as a guide, we have the following:

x = -1 and x = 4

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Not sure but i think it's 6.3.

Pythagoras theorem

a²+b²=c²

6.9 is the hypotenuse (c)

2.9 is the base (b)

a is the altitude of the wall or the height of the wall (a)

a²+2.9²=6.9²

a= 6.3

In the beginning, Sita had Rs. 64 to start with.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

From the given information the equation can be formed as,

4ˣ + 128 = 3.2⁽ˣ⁺³⁾.

2²ˣ + 2⁷ = 3.2⁽ˣ⁺³⁾.

Putting some arbitrary values of 'x' we gey at x = 3,

64 + 128 = 3.64.

So, In the beginning, she had 4³ rs which is 64 rs.

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Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.

There is very little confidence that the population would behave in expected ways.

The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.

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I- uhm, it makes one but, I think that's just an equation...