An ice machine will produce 192 ice cubes in a 24 hour period. What is the rate of ice cubes per hour?​

The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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a) The Name of the angle of elevation is ∠c = 83.3°

b) The Name of the Hypotenuse side is AC

c) The Name of the Opposite side is AB

The angle formed between the line of sight and the horizontal is known as the angle of elevation. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

We can use the tangent ratio to determine the angle of elevation:

tan(angle of elevation) = opposite/adjacent

tan(angle of elevation) = 29.25/4.75

tan(angle of elevation) = 6.157

The inverse tangent (tan⁻¹) both sides, we obtain:

angle of elevation = tan⁻¹(6.157)

Using a calculator, we get:

angle of elevation ≈ 81.3 degrees (rounded to the nearest tenth)

The elevation angle is roughly 81.3 degrees.

d) The Name of the Adjacent side is BC

e) The Trig Ratio I will be using is Tan θ = Sin θ/Cos θ because we are  

   given the side Opposite Side & Adjacent Side

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Answer:

y=4x-7

Step-by-step explanation:

here,

the equation of straight line in slope intercept form is;

y=mx+c

( m= slope

c= y-intercept )

soo..

the question has asked for slope 4 i.e. m=4

and y- intercept -7 i.e. c= -7

now.

the required equation is

y= 4x-7

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Answer:

14.4

Step-by-step explanation:

Answer:

18.92%

Step-by-step explanation:

The recursively defined function that describes the given situation would be f(n) = f(n-1) x 0.9, after four years, 9185 birds will be remaining.

A function is defined as a relation between the set of inputs having exactly one output each.

The native bird population in a city is decreasing at a rate of 10% per year after 1 year the population of native birds is 14000.

f(0) = 14000

f(n) = f(n-1) x 0.9

f(1) = f(0) x 0.9

= 14000 x 0.9

= 12600

f(2) = f(1) x 0.9

= 12600 x 0.9

= 11340

f(3) = f(2) x 0.9

= 11340 x 0.9

= 10206

f(4) = f(3) x 0.9

= 10206 x 0.9

= 9185.4

Therefore, after four years, 9185 birds will be remaining.

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Answer:14000, 0.9, 10206

Step-by-step explanation:

pluto- just took the test

Answer:

8hr;)

Step-by-step explanation:

Answer:

315 chocolate

Step-by-step explanation:

Let Sam's chocolate be S

Let Clariss's chocolate be C

When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.

This can be written as:

C = 5S

The sum of their chocolate is 504 i.e

S + C = 504

Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:

S + C = 504

But: C = 5S

S + 5S = 504

6S = 504

Divide both side by 6

S = 504/6

S = 84.

C = 5S = 5 x 84 = 420

Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.

Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:

Amount of chocolate that Clarissa has a first = 420 – 105 = 315

Therefore, Clarissa had 315 chocolate at first.

The number of more chocolates did Clarissa have at first is 315 chocolates.

Since Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam. They had 504 chocolates altogether.

here we assume Sam's chocolate be S and Clariss's chocolate be C

So, the equations are

C = 5S

S + C = 504

So, it could be like

S + 5S = 504

6S = 504

S = 84.

C = 5S = 5 x 84 = 420

Now the extra chocolates shoudl be

= 420 – 105

= 315

Therefore, Clarissa had 315 chocolate at first.

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Answer:

137 i am sorry if incorrect

Step-by-step explanation:

If line J is perpendicular of line K, they should cross to make an X. If the slope of line K is -5, Line J would be 5.

Answer:

Below

Step-by-step explanation:

3x+15      <==== factor out '3'

3 * ( x+5)       done !

Answer:

B on edge 2022

I got it right and the guy above me is right

Following the transformation of BCD to triangle B'C'D', only the signs of

the x and y values changes, the angle of rotation is therefore;

The coordinate of the point C on the preimage = (-2, 1)

The coordinate of the point C' on the image = (2, -1)

The difference in the coordinate is the change in the sign of the x and y

values.

The coordinate of a point (x, y) following a 180° rotation about the origin

is the point (-x, -y).

Therefore;

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By using speed calculation and the Pythagorean theorem, it can be concluded that the contestant is moving down at a rate of 11.8 feet/second.

In speed calculation, speed is defined as the distance traveled in a certain unit of time. Speed can be calculated by dividing the distance by time:

Speed = distance / time

We will need the Pythagorean theorem to solve the problem as well. It says that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the two shorter sides:

c² = a² + b²

Now we take a look at the problem.

The height of the pole = 50 feet

Distance between pole and anchor = 50 feet

Time = 7 seconds

We want to know the speed of a contestant, that is the distance traveled in 6 seconds.

Let c be the distance traveled, a be the height of the pole and b be the distance between the pole and the anchor.

We will use the Phtagorast Theory to find c:

c² = a² + b²

   = 50² + 50²

   = 2500 + 2500

   = 5000

c = √5000

  = 70.7 feet

Rate or speed the contestant moving down the line:

Rate = distance / time

        = 70.7 / 6

        = 11.8 feet/second

Thus, the contestant is moving down at a rate of 11.8 feet/second.

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Answer:

if the two angles are equal

we use sss therom to solve it

2ft/6ft=24ft/xft

x=(6*24)/2

=72

The speed of the water wave is 2.0 meters per second.

The speed of a wave is calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, the distance traveled by the water wave is 10.0 meters, and the time taken is 5.0 seconds.

To determine the speed, we use the formula:

Speed = Distance / Time

Substituting the given values, we have:

Speed = 10.0 meters / 5.0 seconds = 2.0 meters per second

Therefore, from the given information, we can determine that the speed of the water wave is 2.0 meters per second.

This information about the speed of the water wave is useful for various purposes. It allows us to understand how quickly the wave is propagating through the medium. It also helps in analyzing wave behavior, such as interference, reflection, or refraction, and studying the characteristics of the medium through which the wave is traveling. Additionally, the speed of the wave can be used in calculations involving wave frequencies, wavelengths, and periods.

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Answer:

x^2 +2x -6

Step-by-step explanation:

f(x)=2x+1

g(x)=x^2-7,

(f+g)(x) = 2x+1 + x^2 -7

Combine like terms

           = x^2 +2x -6

f (x) = 2x + 1

g (x) = x² - 7

(f+g) (x) = 2x+1 + x² - 7

Adding like terms

⇛ x² + 2x - 6

Answer:

Simplify the following:

(10 x)^(-3)

Multiply each exponent in 10 x by -3:

1/(10^3 x^3)

10^3 = 1000:

Answer: 1/(1000 x^3)

Step-by-step explanation:

The holding period return is the return that an investor receives by holding a bond for a specific period of time. It is calculated using the following formula:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price For the given scenario, the bond has a $1,000 face value and an annual coupon of $40.

The bond was purchased for $990 and sold one year later for $1,025.Using the formula, we can calculate the holding period return as follows:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price= ($1,025 – $990 + $40) / $990= $75 / $990= 0.075 or 7.5% Therefore, the holding period return for the bond is 7.5%. The holding period return is a financial metric that measures the total return of an investment over the period that it is held. This metric takes into account any income received from the investment, as well as any changes in the price of the investment over the holding period. It is a useful tool for investors who want to evaluate the performance of their investments and compare the returns of different investments over different holding periods.In the given scenario, we are asked to calculate the holding period return for a $1,000 face value bond with a $40 annual coupon purchased for $990 and sold one year later for $1,025. To calculate the holding period return, we need to use the formula:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price Where, Ending Price = the price at which the investment was sold Beginning Price = the price at which the investment was purchased Income = any income received from the investment over the holding periodIn this case, the ending price of the bond is $1,025, the beginning price is $990, and the income is $40. Therefore, we can calculate the holding period return as follows:Holding Period Return = (Ending Price – Beginning Price + Income) / Beginning Price= ($1,025 – $990 + $40) / $990= $75 / $990= 0.075 or 7.5% Therefore, the holding period return for the bond is 7.5%.

In conclusion, the holding period return is a useful financial metric that measures the total return of an investment over the period that it is held. It takes into account any income received from the investment, as well as any changes in the price of the investment over the holding period. In the given scenario, we calculated the holding period return for a $1,000 face value bond with a $40 annual coupon purchased for $990 and sold one year later for $1,025. The holding period return for the bond was found to be 7.5%.

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Answer

At 2% : $1000

At 4% : $2000

Using it's formula, it is found that the tangent of F is given by:

Researching the problem in the internet, it is found that for the right triangle in this problem:

Applying the Pythagorean Theorem, we have that:

\(6^2 + x^2 = 11^2\)

\(36 + x^2 = 121\)

\(x^2 = 85\)

\(x = \sqrt{85}\)

Considering that the tangent is the length of the opposite leg divided by the length of the adjacent leg, we have that:

\(\tan{F} = \frac{6}{\sqrt{85}} \times \frac{\sqrt{85}}{\sqrt{85}} = \frac{6\sqrt{85}}{85}\)

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\(\large\bold\blue{ANSWER:-}\)

Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.

The location of point J is at (8, -10) if point Z is located at (2,2) and point T is located at (4,-2),

The midpoint theorem is expressed as:

\(M(x, y)=(\frac{ax_1+bx_2}{a+b} \frac{ay_1+by_2}{a+b} )\)

where:

a:b be in the ratio of 1:2

Substitute the given coordinates T(4, -2) and Z(2, 2) into the formula to get the coordinate J(x₁, y₁)

\(x =\frac{ax_1+bx_2}{a+b}\\4 =\frac{1x_1+2(2)}{1+2}\\4(3) = x_1+4\\12 = x_1 + 4\\x_1 = 8\)

Get the other coordinate of J, y1

\(y =\frac{ay_1+by_2}{a+b}\\-2 =\frac{1y_1+2(2)}{1+2}\\-2(3) = y_1+4\\-6 = y_1 + 4\\y_1 = -6-4\\y_1 =-10\)

Hence the location of point J is at (8, -10) if point Z is located at (2,2) and point T is located at (4,-2).

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Answer:

ΔABC ≅ ΔQPR

Step-by-step explanation:

if you were to reflect it, they would line up also A ≅ Q because their angles are the same and I know that because of the markings, they both have one arc and B and P both have two arcs meaning they are congruent and C and R both have three arcs so they are congruent.

Answer:

It’s just -24 minus -18 so that’s $-6

Step-by-step explanation:

Answer: 2 combinations

Step-by-step explanation: he can either wear one jacket, one pair of shirt, one pair of pant and a air of shoes or the second combination the other jacket, shirt, pants and shoes

Answer:

-15

Step-by-step explanation:

-3(2)2-4(2)+5

-12-8+5

-20+5

5-20= -15

Given:

Given the product