A skydiver is laying out a circular target for his next jump that has a diameter of 16 FEET. Which EXPRESSION can be used to determine the area of the target?
Pls hurryyy thxxxxsss

Let ((2) = ve- 4 and g(2) = 12 11r + 30. Then f(1) = i√3, g(1) = 21, Domain of f(x) = [4, ∞) and  Domain of g(x) = (-∞, ∞)

First, let's find f(1) and g(1). To do this, we simply substitute x = 1 into the equations for f(x) and g(x):

f(1) = √(1 - 4) = √(-3) = i√3

g(1) = 2(1) - 11(1) + 30 = 2 - 11 + 30 = 21

Now, let's find the domains of f(x) and g(x). The domain of a function is the set of all values of x for which the function is defined.

For f(x) = √(x - 4), the expression inside the square root must be greater than or equal to 0 in order for the function to be defined. This means that:

x - 4 ≥ 0

x ≥ 4

So the domain of f(x) is [4, ∞).

For g(x) = 2x - 11x + 30, there are no restrictions on the domain, so the domain of g(x) is (-∞, ∞).

So the final answers are:

f(1) = i√3

g(1) = 21

Domain of f(x) = [4, ∞)

Domain of g(x) = (-∞, ∞)

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We're required to find the value of angle KTR.

It can easily be seen that angle KTR and angle BTF are vertically opposite angles.

[tex]\therefore \: \angle \: KTR= \angle \: BTF \: \\ \implies \: 4h + 160 = 3h + 156 \\ grouping \: the \: like \: terms \: at \: either \: sides \\ \implies \: 4h - 3h = 156 - 160 \\ \implies \: \boxed{h = - 4\degree}[/tex]

now ,

[tex]\angle \: KTR \: = 4h + 160 \\ \implies \: \angle \:KTR \: = 4( - 4) + 160 \\ \implies \: \angle \: KTR \: = - 16 + 160 \\ \implies \:\boxed{ \angle \:KTR = 144\degree}[/tex]

hope helpful! :)

hi, attached is the answer

Hope this helps:)

The correct answer is B. 299,250Php.

To find out how much the author will have received when the 5,000th book is sold, we need to calculate the royalties for the first 3,000 copies and then the royalties for the additional 2,000 copies.

For the first 3,000 copies, the author will receive 5% of the sale price:

3,000 x 1995Php x 0.05 = 299,250Php

For the additional 2,000 copies, the author will receive 15% of the sale price:

2,000 x 1995Php x 0.15 = 598,500Php

Adding these two amounts together gives us the total amount the author will have received:

299,250Php + 598,500Php = 897,750Php

Therefore, the correct answer is B. 299,250Php.

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The linear demand function is given by Q = -1.09P + 76.4, the revenue function is R = -1.09P^2 + 76.4P, and the price that yields maximum revenue is $34.95.

To create the linear demand function, we use the two points given: (35, 34.75) and (36, 33.06). We can find the slope of the line between these two points using the slope formula: (33.06 - 34.75)/(36 - 35) = -1.69. This slope represents the change in quantity demanded per dollar change in price. To find the intercept, we can use either of the points and solve for it: 35 = -1.69(34.75) + b, giving us b = 131.15. Thus, the demand function is Q = -1.69P + 131.15, which we can simplify to Q = -1.09P + 76.4.

To find the revenue function, we multiply the demand function by the price: R = P(Q) = P(-1.09P + 76.4) = -1.09P^2 + 76.4P. To find the price that yields maximum revenue, we can take the derivative of the revenue function with respect to price and set it equal to zero: dR/dP = -2.18P + 76.4 = 0, giving us P = $34.95. Therefore, the price that yields maximum revenue is $34.95.

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x and y must have values of 3 and 11, respectively.

What is a Parallelogram?

A parallelogram is a geometric shape with sides that are parallel to one another in two dimensions. It is a form of polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length. A parallelogram has adjacent angles that add up to 180 degrees.

The angles in a parallelogram are given in the diagram.

As opposite sides are equal and parallel in a parallelogram, the alternate interior angles must also be the same.

This gives:

5y - x = 52 ...(i)

6y - 18 = 48 ...(ii)

Solving (ii)

6y = 66

y = 11

Substituting in (i)

5(11) - x = 52

x = 3

The values of x and y must be 3 and 11 respectively.

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The output of Badger's function machine when the input is 3.

To find the output of Badger's function machine, we need to first find the output of Bucky's function machine when the input is 3.

1. Input 3 into Bucky's function machine.
2. Follow the instructions on the function machine to find the output.
3. Input the output from Bucky's function machine into Badger's function machine.
4. Follow the instructions on Badger's function machine to find the final output.

Without knowing the specific instructions on the function machines, it is impossible to give a specific answer.

However, by following these steps, you can find the output of Badger's function machine when the input is 3.

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Answer:

a) (0.333, 13.11)

b)  (1, 9)

Step-by-step explanation:

a)

5x+3y=41

2x+3y=40

[The steps are labelled so they can be referenced in the subsequent problems]

A.  Rearrange one of the two equations so as to isolate the x or y to one side.  I'll use 2x+3y=40:

2x+3y=40

2x = 40-3y

x = (40-3y)/2

B.  Now use that expression of x in the other equation:

5x+3y=41

5((40-3y)/2)+3y=41

(200-15y)/2 +3y = 41

100 - 7.5y + 3y = 41

-4.5y = - 59

 y = 13.11

C.  Now use y=13.11 in either equation to find x:

2x+3y=40

2x+3*(13.11)=40

2x + 39.33 = 40

2x = 0.67

x = 0.333

D.  Answer: The lines intersect at (0.333, 13.11)

b)

x+7y=64

x+3y=28

A.  

x+7y=64

x=64-7y

B.

x+3y=28

(64-7y)+3y=28

64-4y = 28

-4y = -36

  y = 9

C.

x=64-7y

x=64-7*9

x = 1

D.  Answer: The lines intersect at (1, 9)

See the attached graph for proof of the points of intersection.

HELPPP PROVIDED (I hope)

Answer:

djdjdhdudjdhxnfbxi94949495959584748474748494949585858595959585858585858585859696969485858589484748487474747383392929२९३9999४४६५८४९२84८३4६३०२०८४७४94८८४७४९8४८४८४८४८४८48484८5८५८५८४८३९2९२919९२9३76४७४7७४७४7४5959999393939393939494949449494949494998595859303099

The length of 2W in inches can be calculated by using the measurements of the parallelogram. Wxx is 2x+15, and xY is x+27. Since the length of W xx and xY is referring to the same line, x+27=2x+15. Solving for x, x=12. Knowing the value of x, Wxx=2(12)+15=39 inches and xY=12+27=39 inches. Therefore, 2W=2(39)=78 inches.

The length of a line in a parallelogram can be calculated by adding the two measurements of the two lines containing the same point. Since the line containing point W is the same line containing point x, the two measurements can be solved for the same variable, x. Once the variable is determined, the value of the two lines containing the same point can be determined. The value of the two lines can then be multiplied by 2 to determine the length of the line in the parallelogram.

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Answer:

Step-by-step explanation:

from top down:

xᵃ⁻ᵇ

xᵃ⁺ᵇ

1

xᵃˣᵇ

1/xᵃ

w |w|-20=-13
w = 7 and w = -33

A. For this equation, we have to solve for the absolute value of w.

An absolute value equation can be thought of as two equations in one, so we need to solve for both cases.

B.

Case 1: w > 0

w - 20 = -13

w = 7

Case 2: w < 0

w + 20 = -13

w = -33

Therefore, the solution to this absolute value equation is w = 7 and w = -33.

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The given statement "When simplifying the expression 5-8+2, the first step would be to add eight and two" is false because of the PEMDAS rule.

According to the order of operations (PEMDAS), we need to perform any calculations inside parentheses first, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.

In this case, there are no parentheses or exponents, so we can move on to addition and subtraction from left to right.

The first step would actually be to subtract 8 from 5, giving us -3. Then we would add 2 to -3, giving us a final answer of -1.

Therefore, the correct answer is False.

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Answer:

6 - (1 1/3 + 1 4/9)

6 - 2 7/9

= 29/9

= 3 2/9

Therefore, 3 2/9 pounds of grass seed are left.

a) The average rate of change of f on [−3,1] is 4.

b) The average rate of change of f on [x,x+h] is 3+16/h.

The average rate of change of a function f(x) on an interval [a,b] is given by the formula:

Average rate of change = (f(b)-f(a))/(b-a)

(a) To find the average rate of change of f on [−3,1], we plug in the values of a=-3 and b=1 into the formula:

Average rate of change = (f(1)-f(-3))/(1-(-3))
= (f(1)-f(-3))/4

Now, we need to find the values of f(1) and f(-3) by plugging in the values of x into the given function:

f(1)=1+3(1)-8=-4
f(-3)=-3+3(-3)-8=-20

Plugging these values back into the formula, we get:

Average rate of change = (-4-(-20))/4
= 16/4
= 4

Therefore, the average rate of change of f on [−3,1] is 4.

(b) To find the average rate of change of f on [x,x+h], we plug in the values of a=x and b=x+h into the formula:

Average rate of change = (f(x+h)-f(x))/(x+h-x)
= (f(x+h)-f(x))/h

Now, we need to find the values of f(x+h) and f(x) by plugging in the values of x and x+h into the given function:

f(x+h)=x+h+3(x+h)-8
=4x+3h-8
f(x)=x+3x-8
=4x-8

Plugging these values back into the formula, we get:

Average rate of change = (4x+3h-8-(4x-8))/h
= (3h+16)/h
= 3+16/h

Therefore, the average rate of change of f on [x,x+h] is 3+16/h.

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Answer:

C) 84 mm squared

Step-by-step explanation:

The formula for finding area of a triangle is 1/2 times base times height, so substitute and solve for the answer

1/2 times 8 times 21

4 times 21

84

Yes, the ordered pair (5,6) is a solution of the system of equations {(x+y=11),(x-y=-1):}.

To check if an ordered pair is a solution of a system of equations, we can plug the values of the ordered pair into the equations and see if they are true.

For the first equation, x + y = 11, we can plug in 5 for x and 6 for y:

5 + 6 = 11

This is true, so the ordered pair satisfies the first equation.

For the second equation, x - y = -1, we can again plug in 5 for x and 6 for y:

5 - 6 = -1

This is also true, so the ordered pair satisfies the second equation.

Since the ordered pair satisfies both equations, it is a solution of the system of equations.

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The approximate diameter of the circle is 8.5 ft.

The space a circle takes up on a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. For measuring the area occupied by a circular field or plot, use the area of a circle formula. The area formula will allow us to determine how much fabric is required to completely cover a circular table, for example. The area formula will also enable us to determine the circle's circumference, or the border length.

The circumference of the circle is given as:

C = 2 πr

We can also write this as:

C =  πd

as, 2r = d.

The circumference is given as 26 5/7ft. To convert this to a decimal, we can multiply the fractional part by 7/7 to get:

5/7 * 7/7 = 35/49

So the circumference is approximately:

26 + 35/49 = 26.71 ft

Now we can use the formula to find the diameter:

d = 26.71 / 3.14 ≈ 8.5 ft

Therefore, the approximate diameter of the circle is 8.5 ft.

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The system of equations for the two plans is:

y = 8x + 25

y = 12x + 5

To write a system of equations for each plan, let:

x = number of month

y = Total amount

Equation of plan A:

one-time membership fee = initial value or y-intercept (b) = 8

Monthly fee per month = slope/unit rate (m) = 25

The equation would be y = 8x + 25

Equation of plan B:

one-time membership fee = initial value or y-intercept (b) = 12

Monthly fee per month = slope/unit rate (m) = 5

The equation would be y = 12x + 5

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Answer:

f(2)=3x²+2x-10

f(2)=3(2)² +2(2)-10

=12+4-10

=6

Answer:

think its this not sure : Alternate interior angles theorem

Step-by-step explanation:

Step-by-step explanation:

please answer this question quickly

Answer:

H<5

Step-by-step explanation:

u solve it as a normal equation but with the symbol <.

Answer:

D is correct

Step-by-step explanation:

{18, 36, 24, 48, 39, 72}

In Exercises 1-6, the subgroup generated by the given subset is a set of elements that are all powers of the same element.

1. The subset {2,3} of Z12 generates the subgroup {2, 4, 8, 3, 9, 6, 12}.
2. The subset {4,6} of Z12 generates the subgroup {4, 8, 6, 12}.
3. The subset {8,10} of Z18 generates the subgroup {8, 16, 10, 18}.
4. The subset {12,30} of Z36 generates the subgroup {12, 24, 30, 36}.
5. The subset {12,42} of Z6 generates the subgroup {12, 6}.
6. The subset {18,24,39} of Z generates the subgroup {18, 36, 24, 48, 39, 72}.

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Answer:

30 = 2x + 4

Step-by-step explanation:

2x5= 10

30- 10 = 20

20/5= 4

4+2 = 6

Mei gave each student 6 stickers

Answer:

23

Step-by-step explanation:

Answer:

Yes, the ratios 3:6 and 2:4 are equivalent because they represent the same proportion. To confirm, we can simplify both ratios to their simplest form:

3:6 can be simplified by dividing both terms by 3: 3/3 : 6/3 -> 1:2

2:4 can be simplified by dividing both terms by 2: 2/2 : 4/2 -> 1:2

Since both ratios simplify to the same ratio, 1:2, they are equivalent.

Answer: yes !!

Step-by-step explanation: 3:6 and 2:4 are equivalent b/c of their common factors.

Therefore, f(-2x-5) is \[ \frac{-2(x+4)}{4(x+3)^{2}}=\frac{-2 x-8}{4 x^{2}+24 x+36} \]

(a) To find the value of f(-2), we simply substitute -2 for x in the given function:
\[ f(-2)=\frac{-2-3}{(-2)^{2}+2}=\frac{-5}{6} \]
Therefore, the value of f(-2) is -5/6.

(b) To find f(-2x-5), we substitute -2x-5 for x in the given function:
\[ f(-2x-5)=\frac{-2x-5-3}{(-2x-5)^{2}+2}=\frac{-2x-8}{4x^{2}+20x+27} \]
Simplifying the numerator and denominator, we get:
\[ f(-2x-5)=\frac{-2(x+4)}{4(x+3)(x+3)}=\frac{-2(x+4)}{4(x+3)^{2}} \]
Therefore, f(-2x-5) is \[ \frac{-2(x+4)}{4(x+3)^{2}}=\frac{-2 x-8}{4 x^{2}+24 x+36} \]

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∫fx(x)dx = 1 over the entire range of x, and fx is indeed a density function.

A random variable X has the normal distribution N(m, o^2), where m and o are both real numbers, if it is an absolutely continuous random variable with density fx(x) = (1/√(2πo^2)) * exp(-(x-m)^2/2o^2).

To verify that fx is indeed a density, we need to check that it satisfies the two properties of a density function:

1) fx(x) >= 0 for all x
2) ∫fx(x)dx = 1 over the entire range of x

First, let's check that fx(x) >= 0 for all x. Since the exponential function is always positive, we can see that fx(x) will always be positive as well. Therefore, fx(x) >= 0 for all x.

Next, let's check that ∫fx(x)dx = 1 over the entire range of x. To do this, we need to integrate fx(x) over the entire range of x, which is from -∞ to ∞:

∫fx(x)dx = ∫(1/√(2πo^2)) * exp(-(x-m)^2/2o^2)dx from -∞ to ∞

Using the substitution u = (x-m)/√(2o^2), we can rewrite the integral as:

∫(1/√(2πo^2)) * exp(-u^2/2) * √(2o^2)du from -∞ to ∞

Simplifying, we get:

∫(1/√(2π)) * exp(-u^2/2)du from -∞ to ∞

This integral is equal to 1, as it is the integral of the standard normal density function. Therefore, ∫fx(x)dx = 1 over the entire range of x, and fx is indeed a density function.

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