how many more sides does a hexagon have than a quadrilateral

Answer: -3, 9√, pi, 49√

Step-by-step explanation:

Having the check beside a number, ex: 49√, shows that something squared, in other words multiplied by itself, equals this. In this example it would be 7. For, 7*7=49. For 9√ it would be 3. Pi is 3.14. Listing these out we have:

-3, 3.14, 3, 7. Let's order this...

-3 is the least, then 3, then 3.14 (slightly bigger than 3), lastly, 7.

Answer:

The value of the scholarship is $10800

Step-by-step explanation:

Step one:

Daryl has a scholarship that pays 80% of his tuition per year

the total value of the scholarship if the tuition is $13,500 per year

Step two:

let us solve for the value of 80% of the tuition which is $13,500 per year.

this is calculated as

=80/100*13,500

=0.8*13,500

=10,800

Answer:

3 3/4

Step-by-step explanation:

Answer:

he will need 7.5 cups of flowers or 7 2/4

Step-by-step explanation:

So basically you have to keep adding 5/4 for every 1/2 you get until you reach 3.So when you do this you get 7.4.

A faster way to do this is to find how 1/2 are in 3 cups and then multiply that by the 5/4.

Break-even point refers to the level of output, sales, or revenue required for a business to have zero profits or losses. It's the stage where a company covers all of its costs but doesn't make any profits.

Therefore, to calculate break-even point volume, we need to use the following formula:

BEPV = Fixed Costs/ (Revenue per unit - Variable cost per unit)

where BEPV is the break-even point volume Given that the alternative under .

consideration by a company will have fixed costs of $10,000 per month, variable costs of $20 per unit, and revenue of $70 per unit, we can substitute these values in the above formula:BEPV = $10,000/($70 - $20)BEPV = $10,000/$50BEPV = 200 units Therefore, the break-even point volume is 200 units.

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The values of the inverse functions are f-¹ (3) = -1 and f-¹ (8) = 7

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

x   f(x)

-1   3

1     6

2    5

3    7

7   8

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

f-¹ (x) means that we calculate the value of x from the table when y = x in the function notation

So, we have

f-¹ (3) = -1 and f-¹ (8) = 7

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Answer:

\(x = 6\)

Step-by-step explanation:

Given

Let y represent the number of meatballs in total and x represents the number of plates.

\(y = 30\)

\(Rate = 5\) per plate

Required

Determine the value of x

To solve for x, we make use of the following expression.

\(y = Rate * x\)

Substitute values for y and Rate

\(30 = 5 * x\)

\(30 = 5 x\)

Divide through by 5

\(30/5 = 5 x/5\)

\(6 = x\)

\(x = 6\)

Hence, number of plates is 6

Answer:

(-5, 4)

Step-by-step explanation:

Pls mark brainliest, I need 4 more to lvl-up.

Answer:

<1 and <2

Step-by-step explanation:

Complementary angles are two angles which their measure add up to 90 degrees.

There are only one angle pair that meet this requirement:

angle 2 and angle 1

Answer:

28/1

Step-by-step explanation:

Answer:

7sqrt2

Step-by-step explanation:

28/4=7

we have a 45-45-90 triangle so d=7sqrt2

Answer:

y=2x

Step-by-step explanation: given (0,0) (1,2)

y=mx+b

0=(m*0)+b

0=b

2=(1*m)+

2=m

y=mx+b

y=2x

Hence the general term of the given quadratic number pattern is given by Tn = n²+4n-12 is verified.

The number pattern = -7,0,9,20

Let the general term of the given quadratic number pattern is given by

Tn = an²+bn + c

When T = -7; n = 1

⇒ -7 = a(1)² +b (1) +6

⇒ a + b + c=-7 -----------1

At n=2, T₂ = 0

⇒ 0 = a(2)²+b(2)+c

4a+2b+c=0 ---------------2

At n=3, T = 9

⇒ 9 = a(3)²+b(3) +c

⇒ 9a+3b+c= 9 ---------3

Subtracting 3 from 2

⇒-5a-b = -9 --------4

Subtracting 2 from 1

-3a-b = -7  -----------5

Subtracting 5 from 4

2a = 2

⇒ a=1

Using eq 5, we get

-3(1) - b = -7

-b = -7 + 3

b = 4

From eq 1, a + b + c=-7 we get the value of c,

1 + 4 + c = -7

c = -7 -5

c = -12

substitute the values of a, b, and c in Tn = an²+bn + c

Tn = n² + 4n - 12

Hence the general term of the given quadratic number pattern is given by Tn = n²+4n-12.

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Answer:

x = 50º

Step-by-step explanation:

All angles in a triangle have to add up to 180º

Answer:

its C

Step-by-step explanation:

b is wrong

Answer:

a. (3,-2) that is the answer

, I already study this lesson

The value of Angle BXC is 70°

Corresponding angles are the angles which are formed in matching corners with the transversal when two parallel lines are intersected by any other line called the transversal.

The line which joins the two parallel lines is usually called a transversal.

Angle XBC is 55° because it is corresponding with Angle AXY

From triangle XBC, Angle XBC is equal to XCB( base angles of an isosceles triangle)

so XBC = XCB = 55°

Also,

XBC + XCB + BXC = 180( sum of angles in triangle XBC)

55 + 55 + BXC = 180

110 + BXC = 180

BXC = 180 - 110

BXC = 70°

In conclusion, Angle BXC is 70°

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Based on the side-angle-side congruence theorem (SAS),

Missing statement is: ΔHIK ≅ ΔHJK

Missing reason is: SAS

If there are two pairs of congruent sides and a pair of included corresponding congruent angles in two triangles, then based on the side-angle-side congruence theorem (SAS), the two triangles are congruent to each other.

The two triangles have the following:

Two pairs of congruent sides which are: HI ≅ HJ, and HK ≅ HK

One pair of included corresponding congruent angles which is: <IHK ≅ <JHK.

This means that both triangles are congruent triangles based on SAS.

Therefore,

Missing statement is: ΔHIK ≅ ΔHJK

Missing reason is: SAS

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Answer:

670 numbers

Step-by-step explanation:

T1=1*3-2

T2=2*3-2

T3=3*3-2

...............

Tn=n*3-2

n*3-2=2008

n*3=2010

n=2010:3

n=670 (numbers)

Answer:

2005-1=2004 so there is 2004 numbers

every 3 numbers 1 is chosen

2004/3=670

670 numbers are in between

Hope this helps

Step-by-step explanation:

Answer:

\(\left(x+2\right)\cdot \left(x-2\right)\cdot \left(x-7\right)\)

Step-by-step explanation:

\(\mathrm{Find\:Least\:Common\:Multiplier\:of\:}x^2-4,\:x^2-5x-14\)

\(\mathrm{The\:LCM\:of\:}a,\:b\:\mathrm{is\:the\:smallest\:multiplier\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b\)

\(x^2-4\)

\(\mathrm{Rewrite\:}4\mathrm{\:as\:}2^2\)

\(=x^2-2^2\)

\(x^2-2^2=\left(x+2\right)\left(x-2\right)\)

\(=\left(x+2\right)\left(x-2\right)\)

\(x^2-5x-14\)

\(=\left(x^2+2x\right)+\left(-7x-14\right)\)

\(=x\left(x+2\right)-7\left(x+2\right)\)

\(=\left(x+2\right)\left(x-7\right)\)

\(\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power:}\)

\(\left(x+2\right)\cdot \left(x-2\right)\cdot \left(x-7\right)\)

The  store manager reports estimated margin of error is  ±18.45 dollars and the sample mean is 62.52.

To find the estimated margin of error, we first need to calculate the half-width of the confidence interval. The half-width is calculated by subtracting the lower limit of the interval from the upper limit and then dividing by 2:

Half-width = (Upper limit - Lower limit) / 2

In this case, the upper limit is 80.97 and the lower limit is 44.07. So, the half-width is:

Half-width = (80.97 - 44.07) / 2 = 18.45

This means that the estimated margin of error is ±18.45 dollars.

To find the sample mean, we take the average of the upper and lower limits of the confidence interval:

Sample mean = (Upper limit + Lower limit) / 2

In this case, the sample mean is:

Sample mean = (80.97 + 44.07) / 2 = 62.52

Therefore, the store manager estimates that the mean price for the population of textbooks is $62.52, with a margin of error of ±18.45 dollars at a confidence level of 95%.

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Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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In response to the supplied query, we may state that Hence, Brenda's Pythagorean theorem home is around 7.2 kilometers away from the school.

The fundamental Euclidean geometry relationship between the three sides of a right triangle is the Pythagorean Theorem, sometimes referred to as the Pythagorean Theorem. This rule states that the areas of squares with the other two sides added together equal the area of the square with the hypotenuse side. According to the Pythagorean Theorem, the square that spans the hypotenuse (the side that is opposite the right angle) of a right triangle equals the sum of the squares that span its sides. It may also be expressed using the standard algebraic notation, a2 + b2 = c2.

Points A, B, and C can be used to create a right triangle in this situation. The hypotenuse of the line segment between points A and C is its length, while the other two sides are the lengths of the segments connecting A and B and B and C.

We'll refer to the separation between positions A and C as "x". Next, we have:

\(x2 = 6 + 4, x2 = 36 + 16, x2 = 52, x = \sqrt(52) = 7.2.\)

Hence, Brenda's home is around 7.2 kilometers away from the school.

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Given:

Total investments = $25000

She estimates the following:

Probability 0.2 of a $15,000 loss (-$15,000)

Probability 0.05 of a $20,000 loss (-$20000)

Probability 0.3 of a $35,000 profit (+35000)

Probability 0.45 of breaking even ($0)

Total probability = 0.2 + 0.05 + 0.3 + 0.45 = 1

Since the total probability is 1, to find the expected value of profit, we have:

Solving further:

Therefore, the expected value of the profit is $6,500

ANSWER:

a) $6,500

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer:

The answer is C

Explain:

Solve for x in the first equation.

Add 4y to both sides of the equation

3x=12+4y

12y-9x=36

Divide each term by 3 and simplify

X=4+4y/3

12y-9x=36

Replace all occurrences of x with 4+4y/3 in each equation.

-36=36

X=4+4y/3

Since -36=36 is not true, there is no solution

The surface integral of f over the unit sphere is (4π/15) (3 k), where k is the unit vector in the z-direction. The answer is independent of the specific parameterization of the sphere and only depends on the surface itself.

To evaluate the surface integral of f over the unit sphere, we need to use the formula:

∫∫S f · dS = ∫∫R f(φ,θ) · ||r(φ,θ)|| sin(φ) dφdθ

Where S is the surface of the unit sphere, R is the region in the parameter domain (φ,θ) that corresponds to S, ||r(φ,θ)|| is the magnitude of the partial derivative of the position vector r(φ,θ), and sin(φ) is the Jacobian factor.

For the unit sphere, we have:

x = sin(φ) cos(θ)
y = sin(φ) sin(θ)
z = cos(φ)

So, we can find the partial derivatives:

r_φ = cos(φ) cos(θ) i + cos(φ) sin(θ) j - sin(φ) k
r_θ = -sin(φ) sin(θ) i + sin(φ) cos(θ) j

Then, we can compute the magnitude:

||r_φ x r_θ|| = ||sin(φ) cos(φ) cos(θ) j + sin(φ) cos(φ) sin(θ) (-i) + sin^2(φ) k|| = sin(φ)

Now, we can substitute into the formula and evaluate the integral:

∫∫S f · dS = ∫0^π ∫0^2π (sin^3(φ) cos^3(θ) i + sin^3(φ) sin^3(θ) j + sin^3(φ) cos^3(φ) k) · sin(φ) dφdθ
= ∫0^π ∫0^2π sin^4(φ) (cos^3(θ) i + sin^3(θ) j + cos^3(φ) k) dφdθ

To integrate over θ, we can use the fact that cos^3(θ) and sin^3(θ) are odd functions, so their integral over a full period is zero. Thus, we get:

∫∫S f · dS = ∫0^π (1/5) sin^5(φ) (3 cos^3(φ) k + 2 sin^3(φ) i + 2 cos^3(φ) j) dφ
= (4π/15) (3 k)

Therefore, the surface integral of f over the unit sphere is (4π/15) (3 k), where k is the unit vector in the z-direction. The answer is independent of the specific parameterization of the sphere and only depends on the surface itself.

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The required equation of a circle P is x² + (y −3)² = 4. The correct answer is option (F).

As per the shown figure, the circle P with a center at (0, 3) and a radius is 2 units.

The center of the circle is given as (h,k) = (0, 3)

So the equation of the circle is:

⇒ r² = (x − h)² + (y − k)²

Substitute the values of r, h, and k in the above equation,

⇒ 2² = (x − 0)² + (y −3)²

⇒ 4 = x² + (y −3)²

⇒ x² + (y −3)² = 4

Hence, the equation of a circle P is x² + (y −3)² = 4.

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Two events each have probability 0.2 of occurring. the probability that neither occur is 0.6. these events are: Mutually Exclusive Events. Thus, option C is correct.

Probability is the mathematical study of outcomes in uncertain situation. It is used to describe the likelihood of an event occurring and it can be expressed as number between 0 to 1. Probability is used to quantify the uncertainty associated with any given event it helps us understand how likely it is that something will happen and it can be used to predict future.

The two events in question are independent of one another, meaning that the occurrence of one event does not affect the probability of the other occurring. This means that the probability of neither event occurring is the product of the two probabilities, Therefore these events are Mutually Exclusive Events.

Thus, option C is correct.

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Answer:

a fair cube is expected to come up an equal number of times on each side

6 sides, 60 rolls

... each side is expected 10 times

a) 10 ... expected outcome

b) 30 ... expected outcome

c) 30 ... expected outcome

d) 0 ... only 6 sides