PLEASE HELP MEH



A 1,700-foot support wire is attached to


the top of an 800-foot radio tower.


1,700 ft


800 ft


А


B


A scale drawing of the tower and wire is


drawn using the scale 1 inch: 250 feet.


On the scale drawing, what is the length,


in inches, of AB? (8. 1B, 8. 1F)


F


15 in.


Make sure to


use the scale.


G 7. 5 in.


H


6 in.


J 18 in.

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Distance = rate * time

Let r = rate

Distance is the same for both runs,  so:

.5r = D =  3/4(r - 2)

Distribute (and convert .5):

2/4r = 3/4r - 3/2

Subtract 3/4 r from both sides:

-1/4r = -3/2

Multiply both sides by -4 to get a solitary r:

r = -3 * -4 / 2

r = 3 * 2

r = 6 miles per hour

.5 hours * 6 mi/hr = 3 miles

check:

6 - 2 = 4

3/4 hours * 4 mi/hr = 3 miles

The perimeter of the regular nonagon with a radius of 19 is 58.3 units.

The nonagon's center, designated by the letter O, has a radius of 19; the distance from O to any vertex is therefore equal to the radius:

sin(20) = s / 19

We then solve for  s:

s = 19 * sin(20)

s = 6.4807

We find the length of one side by multiplying it by 9:

Perimeter = 9 * s

perimeter=  9 * 6.4807

perimeter = 58.3263

In conclusion, a nonagon is  described as  a nine sided polygon and it is also called an Enneagon or 9-gon.

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The cost to park a car is $1.25 and $3.50 for a truck.

The substitution method is a method used to solve algebraic forms by combining known equations into a single unit. In solving equation, at least 2 equations are needed to find a solution for each variable

The elimination method is a method used to solve algebraic forms by eliminating one of the variables to determine the solution of other variables. In solving equation, at least 2 equations are needed to find a solution for each variable.

To solve the question above:

Car=c

Truck=t

3c + 2t = 10.75 eq 1

7c + t = 12.25 eq 2

Use elimination by multiplying the bottom equation by -2 to eliminate t:

3c + 2t = 10.75

14c+ 2t = 24.5

so:

11c = 13.75

c = 1.25

substitute c=1.25 as c in the equation 1

3c + 2t = 10.75

3(1.25) + 2t = 10.75

3.75 + 2t = 10.75

2t = 7t = 3.5

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Answer:

Step-by-step explanation:

Answer: A (-3,2); C (-1,-2)

Step-by-step explanation:

Two ways to solve

Graphing:

set 2x+y=-4 q= equal to Y

So, Y=-2x-4 (move over 2x, don't forget the negative symbol)

Graph 2nd equation - plug-in points

Solving:

set 2x+y=-4 = equal to Y

So, Y=-2x-4

Plug-in points

y=(x+1)^2-2

Plug-in points

ex:

(-3,2)

-2(-3)-4=2

true statement

(-3,2)

y=(x+1)^2-2

2= (-3+1)^2 -2

True statement

Because both are true we know (-3,2) works

Answer:

17.031g/mol

Step-by-step explanation:

pay attention in class

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

If you solve this inequality you should get...

\(4<3+4x\\1<4x\\\frac{1}{4} <x\)

So I don't know if you can but the answer is all three because 9, 7, and 1 are all greater than \(\frac{1}{4}\).

Answer:

2 Real Roots

Step-by-step explanation:

The discriminant (D) is found using the formula b^2+4ac for the equation ax^2+bx+c.

If D>0 there are two real roots, D=0 one real root and D<0 no real roots.

D = b^2+4ac

D =  10^2+4(-4)(-8)

D = 100+32*4

D = 100+128

D =  228

since 228>0

There are 2 real roots

3.65 is less than \(3\frac{3}{4}\)

First, you must change the mixed number into a decimal so you can compare the two numbers.

\(3\frac{3}{4} = 3.75\)

Then, you must compare the terms.

3.65 < 3.75

3.65 is less than \(3\frac{3}{4}\)

Answer:

a=10

Step-by-step explanation:

The question can be interpreted as

F∝a

If we introduce proportionality constant k, we have

F= k.a

28= k. 7

k= 28/7

k= 4

Then the equation can be written as

F= 4.a

To find, a when F = 40?

F= 4.a

40=4 × a

a= 40/4

a= 10

Answer:

Explanation:

Let Vc be the velocity of the car and I'm the velocity of the motorcycle. If we convert their given values, we get:

Vc = 87 km/h * 1000m / 1km * 1h / 3600s = 24.17m/s

Vm = 95 km/h * 1000m / 1km * 1h / 3600s = 26.38m/s

Since their positions are equal after 17s we can stablish that:

Where d is the initial separation distance of 54m. Solving for a, we get:

  Repacing the values:

Answer:

I think it is $91.89.

Step-by-step explanation:

1. Take the number and add sales tax by multiplying 0.0725 ( since that is what the percentage is in a decimal form). Then add that to the original and you have what it would be plus sales tax: $60.05.

2. Then you would need to multiply by 0.18. You would get 10.809

3. Next, subtract the 10.809 from $60.05 and the answer is $49.24.

I hope this helps! :)

Answer:

Envelopes: $1.15

Notebooks: $2.45

Step-by-step explanation:

Envelopes: x

Notebooks: y

3x+4y=13.25 and 2x+6y=17

I will use the elimination method

2(3x+4y=13.25) = 6x+8y=26.50

-3(2x+6y=17) = -6x-18y= -51

(6x+8y=26.50) + (-6x-18y= -51)

= -10y = - 24.50

y = 2.45

6x + 8(2.45) = 26.50

6x + 19.6 = 26.50

6x = 26.50 - 19.6

x = 6.90/6

x = 1.15

Answer:

x≥-8

Step-by-step explanation:

Because we don't know the first number mentioned, we can name it as x

Since the problem starts off with "twice a number" so we mark it as 2x and then it states to take the difference of that number and 9. So the new problem we have is 2x-9=?. Now, the answer that we have is at least -25, so the answer is no longer an equal sign, but a greater-than or equal-to sign. Making our new equation 2x-9≥-25. Now we can act as if its a normal equation, adding 9 to both sides making it 2x≥-16, divide both sides by 2 to get x≥-8.

An extra step to ensure our answer is more than or equal to -8 is by plugging in -8 AND another number that is more than -8. 2(-8)-9=? which we would find that ? is -25. A number that is greater than -8 could be -1, which we would test by doing 2(-1)-9=?. ? would be equal to -11 so we know that our final answer of x≥-8 is correct.

Answer:

1 liter

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

( x - 7 ) ÷ 5 = -2

( -3 - 7 ) ÷ 5 = -2

( -10 ) ÷ 5 = -2

-10 ÷ 5 = -2

The answer is negative 2 because if you minus negative 3 by 7 first, it will give you negative 10. When you divide negative 10 by 5, you get negative 2, which is the answer to the equation.

Hope this helps! <3

The number is -3

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be x

Seven less than a number

So , x - 7

Divided by five, is -2

So ,

( x - 7 ) / 5 = - 2

Multiply by 5 on both sides , we get

x - 7 = - 10

Adding 7 on both sides , we get

x = - 3

Hence, the number is - 3

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Given in the question:

a.)

Answer:

1.5km of thread

Step-by-step explanation:

1 spool = 375 m

4 spools = 375 x 4 = 1500

1500 m = 1.5km

The expression for the final price of a hat would be h(0.775)(0.08875) and the final price of buying four hats after the discount and sales tax would be $142.

Option (C) is correct.

What is a discount?

A discount is a reduction in the price of a product or service. It can be offered for a variety of reasons, such as to encourage customers to make a purchase or to clear inventory. Discounts can be expressed as a percentage off the original price, or as a fixed dollar amount.

Part A: The expression that would calculate the final price of a hat is h(0.775)(1.08875). This takes into account the 22.5% discount by multiplying the original price by 0.775, and then adds the 8.875% sales tax by multiplying the discounted price by 1.08875.

Part B: If the original price of a hat is $42, then the final price of buying four hats after the discount and sales tax would be $42 x 4 x 0.775 x 1.08875 = $142.

Hence, the expression for the final price of a hat would be h(0.775)(0.08875) and the final price of buying four hats after the discount and sales tax would be $142.

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The components of the vector from the point where the distress call was made to the point where the boat was found are 17.3 km east and 35.7 km south.

To determine the components of the vector from the point where the distress call was made to the point where the boat was found, we need to subtract the components of vector A from the components of vector B. Vector A is given as 45.0 km at 15.0° east of north, and vector B is given as 30.0 km at 15.0° north of east.

To find the x-component, we need to subtract the east component of vector A (45.0 km * cos(15.0°)) from the east component of vector B (30.0 km * sin(15.0°)). This gives us 17.3 km east.

To find the y-component, we need to subtract the north component of vector A (45.0 km * sin(15.0°)) from the south component of vector B (30.0 km * cos(15.0°)). This gives us 35.7 km south.

Therefore, the components of the vector from the point where the distress call was made to the point where the boat was found are 17.3 km east and 35.7 km south.

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Answer:

1/4 is your answer.

Step-by-step explanation:

\(3793 \times {10}^{7} \\ = 37930000000\)

Answer:37930000

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

Area=QR*18

=360

It will take approximately 8.84 years for the car's value to be $5000.

We can use the formula for exponential decay to find the time it takes for the car's value to reach $5000:

V = V0 * \(e^{(-rt)\)

where V is the current value, V0 is the initial value, r is the decay rate, and t is the time in years. We can rearrange this formula to solve for t:

t = -ln(V/V0) / r

Plugging in the given values, we get:

t = -ln(5000/17000) / (-0.17) = 8.84 years (rounded to two decimal places)

Therefore, it will take approximately 8.84 years for the car's value to be $5000.

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The difference between the numbers 5 and −6 will be 11. Then the correct option is D.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

5 and −6

Then the difference between the numbers 5 and −6 will be

⇒ 5 − (−6)

Simplify the expression, then the value of the expression will be

⇒ 5 + 6

⇒ 11

The difference between the numbers 5 and −6 will be 11.

Then the correct option is D.

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