The graph of F(x)= is shown below. If you vertically
shift this function down 6 units, what is the equation of
the new function?

Answer:

Choice 1
It is a one to one function.

Appears to be a cubic function

Step-by-step explanation:

We are to simplify

From the the laws of indices,

Aplying this law to the question, we have

The area of the shaded regions is: 44π

Area of a circle where "r" is the radius is determined using the formula: πr².

The figure given has three circles, namely:

The area of the shaded regions = Area of circle A - Area of Circle B + Area of Circle C

Area of Circle A = (π)(8)² = 64π

Area of Circle B = (π)(4)² = 16π

Area of Circle C = (π)(2)² = 4π

Thus:

The area of the shaded regions = 64π - 16π + 4π

The area of the shaded regions = 44π

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Answer:

Step-by-step explanation:

Answer:

2.5 pounds per year

Step-by-step explanation:

Answer:

$200 : $40

(i divided 240 by 6 because there are six parts in the ratio, and got 40. 40*5=200 and the other 40 makes it 240 in the ratio of 5:1)

Step-by-step explanation:

Answer:

Alex : Burton

    5 : 1

5+1=6

240/6=40

5 times 40=200

1 times 40 =40

= 200:40                                                                                                                                                                                     this means alex gets $200 and burton gets $40

Answer:

5

Step-by-step explanation:

When dividing degrees, you subtract. Ex: x^6/x^1=x^5

ANSWER

EXPLANATION

First, we have to find the total sum of 7/8 and 5/9.

That is:

Now, we subtract 5/6 from that.

That is:

That is the answer.

Answer:

4 minutes per lap

Step-by-step explanation:

20/5 is 4

Answer:

-15 2/3.

Step-by-step explanation: First off, I performed the equation -4 5/1 - 6 4/6, yielding -15.6. I then translated that to a fraction. How to do that, you ask?

Example #1

Convert 0.32 to fraction:

0.32 = 32/100

Find the greatest common divisor (gcd) of the numerator and the denominator:

gcd(32,100) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

0.32 = (32/4) / (100/4) = 8/25

Example #2

Convert 2.56 to fraction:

2.56 = 2+56/100

Find the greatest common divisor (gcd) of the numerator and the denominator:

gcd(56,100) = 4

Reduce the fraction by dividing the numerator and the denominator with the gcd:

2+56/100 = 2 + (56/4) / (100/4) = 2+14/25  

In your problem the final answer would result in -15 2/3. Hope this answered your question.

Answer:

44

Step-by-step explanation:

-4 5/1 - 6 4/6 turn them into fractions you should get -20/1 - 144/6 then to subtract you have to have a comen denominater and it is 6 so 144/6 is okay but you need to do -20/1 x 6 and you get 120/6 so now we have -120/6 - 144/6 = 44 because a negitive and a negitive make a positive.

The slant height of the triangular pyramid is 8.7 feet.

Given a triangular pyramid.

The surface area of the triangular pyramid = 174 square feet

A triangular pyramid consists of 4 triangular faces.

Given that all the triangular faces are equilateral triangle with a length of side as 10 feet.

We have to find the slant height of the pyramid.

The formula to find the surface area of the triangular pyramid is,

Surface area = base area + 1/2 (perimeter × slant height)

Base area = 1/2 × 10 × √(10² - 5²) = 5√75 feet²

Perimeter = 3 × 10 = 30 feet

Substituting,

174 = 5√75 + 1/2 (30h)

174 = 5√75 + 15h

h = (174 - 5√75) / 15

h = 8.7 feet

Hence the slant height is 8.7 feet.

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623 to 1 significant number = 600

14.71 to 1 significant number = 10

0.54 to 1 significant number = 0.5

answer:

\(\tt \dfrac{600-10}{0.5}=1180\)

Answer:

Student C who is paid $290 for 20 hours of work

Step-by-step explanation:

To find the unit rate for each student you put p/h.

Pay/hours, Student A was paid $11.75 each hour

Student B $13.5 each hour

Student C $14.5 each hour

$11.75 x 20 =$235

$13.5 x 20 = $270

$14.5 x 20 = $290

Also can I please have Brainliest??

Only if I'm right of course...

hi

if you mean   :   1/6 =    ... / 6   it's 3  as 3/6 = 1/2

Lorenzo will take 4 classes total in first month. Also, his expense will be $15 and earning will be $79.

Given that:

Amount he spends = $94

His base salary = $79/ month

Additional amount = $ 3

Let x represents the money he earn for every one class.

we can no put it in a equation:

   79(1) + 3x = 94

⇒ 79 +3x = 94

⇒ 3x = 15

⇒ x = 15/3

⇒ x = 5

Therefore, Lorenzo will take 4 classes total in first month. Also, his expense will be $15 and earning will be $79.

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If sofia has a collection of 200 coins, 40 coins represent 20% of Sofia's collection.

To find out how many coins represent 20% of Sofia's collection, we need to first calculate what 1% of her collection is.

To do this, we can divide the total number of coins by 100:

1% of Sofia's collection = 200 coins ÷ 100 = 2 coins

Now that we know that 1% of her collection is 2 coins, we can find 20% by multiplying 2 by 20:

20% of Sofia's collection = 2 coins × 20 = 40 coins

Therefore, 40 coins represent 20% of Sofia's collection.

To find out what percentage a different number of coins represents, we can use the same method. For example, if we want to know what percentage 30 coins represent, we can divide 30 by 2 (since 2 coins represent 1%), which gives us 15%.

So, 30 coins represent 15% of Sofia's collection.

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Answer:

please see photo attached for detailed analysis.

Answer:

about 35%

Step-by-step explanation:

if there are 15 marbles, and one blue one is taken and not replaced, then there become 14 marbles. the probability of choosing one of the 5 blue marbles is about 35% or 36% as for 15 it would have been 40%.

Answer:

Output value

Step-by-step explanation:

1) Water is leaking out of an inverted conical tank at a rate of 9500 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 9 meters and the diameter at the top is 4.5 meters. If the water level is rising at a rate of 18 centimeters per minute when the height of the water is 4 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. Answer more than 100 words:Explanation:We know that the tank is inverted conical. Let's call its height "H" and its radius at the base "r." The rate at which the water is being pumped in can be expressed as V_in, and the rate at which water is leaking out can be expressed as V_out. We are given the following information:At a given time, water is leaking out at 9500 cubic centimeters per minute.The tank has a height of 9 meters, and its diameter at the top is 4.5 meters.The rate at which the water level is rising is 18 centimeters per minute when the height of the water is 4 meters. We need to find the rate at which water is being pumped into the tank.To solve this problem, we'll use related rates, which is a calculus technique that involves finding the rate of change of one variable with respect to another variable. In this case, we want to find the rate of change of the volume of water in the tank with respect to time. Let's call this V_total. We can express V_total as follows:V_total = 1/3πr²HFirst, let's find an equation that relates the radius and height of the tank to the rate at which the water level is rising. We can use similar triangles to relate the rate of change of the height of the water to the rate of change of the radius of the water. Consider the following diagram:We know that the height of the water is increasing at a rate of 18 centimeters per minute when the height of the water is 4 meters. That is, dh/dt = 18 when h = 4.

The volume of the tank can be expressed as:  V_tank = 1/3πr²H  The volume of the air in the tank can be expressed as:  V_air = 1/3πx²(H - h)  The volume of the water in the tank can be expressed as:  V_water = V_tank - V_air  To find the rate at which water is being pumped into the tank, we need to find dV_water/dt. Using the product rule, we get:  dV_water/dt = dV_tank/dt - dV_air/dt  We know that dV_tank/dt is 0, since the dimensions of the tank are not changing. We need to find dV_air/dt. To do this, we need to find an equation that relates x and h. We know that the tank is conical, so we can use similar triangles to relate x and h. Consider the following diagram:We have the following similar triangles:  x/r = h/(H - h)  Differentiating with respect to time, we get:  dx/dtr = (h/H - h/r)(dH/dt) + (1 - h/H)(dr/dt)  We want to find dx/dt when h = 4. At this point, we know that h = 4, H = 9, r = 2.25, and dH/dt = 0. Plugging in these values, we get:  dx/dt = (4/9 - 4/2.25)(0) + (1 - 4/9)(dr/dt)  dx/dt = (5/9)(dr/dt)  Now we can substitute dx/dt into our expression for dr/dt:  dr/dt = 32 - (5/9)(dr/dt)  dr/dt + (5/9)(dr/dt) = 32  (14/9)(dr/dt) = 32  dr/dt = 32(9/14)  dr/dt = 205.71 cubic centimeters per minute Now we can find dV_water/dt:  dV_water/dt = 0 - dV_air/dt  

Therefore, the rate at which water is being pumped into the tank is 128π/3 cubic centimeters per minute.2) At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship B is sailing north at 16 knots. How fast (in knots) is the distance between the ships changing at 5 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) Answer:We have the following information:Ship A is 30 nautical miles due west of ship B.Ship A is sailing west at 20 knots.Ship B is sailing north at 16 knots.We want to find the rate at which the distance between the ships is changing at 5 PM.To solve this problem, we'll use the Pythagorean theorem, which tells us that the distance between the ships is equal to the square root of the sum of the squares of the distances that each ship has traveled. We can express this as follows:  D² = x² + y²  where D is the distance between the ships, x is the distance that ship A has traveled, and y is the distance that ship B has traveled. We want to find dD/dt when x = 30 and y = 16t. Note that we can express x and y in terms of time t as follows:  x = 20t  y = 16t  Plugging these expressions into our equation for D, we get:  D² = (20t)² + (16t)²  D² = 400t² + 256t²  D² = 656t²  Taking the square root of both sides, we get:  D = 8√41t  Now we can differentiate both sides with respect to time:  dD/dt = 8√41(dt/dt)  dD/dt = 8√41  Therefore, the rate at which the distance between the ships is changing at 5 PM is 8√41 knots.

The rate at which water is being pumped into the tank is approximately 33929.15 cubic centimeters per minute.

The volume of a cone is given by the formula:

V = (1/3)*π*r^*h

Given that the height of the tank is 9 meters and the diameter at the top is 4.5 meters, we can find the radius (r) of the circular base. The radius is half of the diameter, so r = 4.5/2 = 2.25 meters.

Since the leakage rate is given in cubic centimeters per minute, let's convert the measurements to centimeters:

r = 2.25 * 100 = 225 centimeters

We are given that water is leaking out at a rate of 9500 cubic centimeters per minute. This is the rate of change of the volume with respect to time, so dV/dt = -9500 cubic centimeters per minute.

We are also given that the water level is rising at a rate of 18 centimeters per minute when the height of the water is 4 meters. This is the rate of change of the height with respect to time, so dh/dt = 18 centimeters per minute.

We need to find the rate at which water is being pumped into the tank, which is dV/dt. We can set up a related rates equation using the volume formula:

dV/dt = (1/3) π*r²*dh/dt

Substituting the known values:

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The value of b = -3/2 and c = -5/4

To write the quadratic x² - 3x + 1 in the form (x + b)² + c, we can expand (x + b)² and compare it to the given expression:

(x + b)² = x² + 2bx + b²

Comparing this to the given expression x² - 3x + 1, we see that we need:

2bx = -3x, so b = -3/2

b² + c = 1, so substituting b = -3/2 gives:

(9/4) + c = 1

so c = 1 - 9/4

= 4/4 - 9/4

= -5/4

The quadratic x² - 3x + 1 can be written in the form (x - 3/2)² + ( - 5/4).

Therefore, the value of b = -3/2 and c = -5/4

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Given question is incomplete, the complete question is below

the quadratic x²-3x + 1 can be written in the form (x +b)² + c, where b and c are constants. what is b, c?

Answer:

1:2

Step-by-step explanation:

The left side goes up one when the left goes up 2

When a double cone is sliced at the apex by a plane perpendicular to the base of the cone, the resulting conic section is a parabola.

Option B is the correct answer.

We have,

A parabola is a type of conic sect ion that can be defined as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix).

In the case of slicing a double cone at the apex, the resulting conic section will have the characteristic shape of a parabola.

The slicing plane intersects both sides of the double cone, creating a curved shape that opens upward or downward, depending on the orientation of the cone.

The vertex of the parabola corresponds to the point of intersection of the slicing plane with the double cone.

Therefore,

When a double cone is sliced at the apex by a plane perpendicular to the base, a parabola is formed.

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The complete question:

Which degenerate conic is formed when a double cone is sliced at the apex by a plane perpendicular to the base of the cone?

A. Circle

B. Parabola

C. Ellipse

D. Hyperbola

Answer:

b=a

Step-by-step explanation:

Pythagorean Theorem:

b = 10/√2

Answer:

(5*7)-f

Step-by-step explanation:

Algebraic expression for the given statement is \(5 \cdot 7 -f\)

Algebraic expression is the combination of terms that consists of numbers  and variables connected by arithmetic operators.

Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.

We need to write it in an algebraic expression

5 times a quantity. for product we use multiplication sign

For addition we use + sign and for difference we use minus sign .

5 times the quantity 7 means 5 multiplied by 7

\(5 \cdot 7\)

5 times the quantity 7 minus a number f  

subtract f from the expression we got

\(5 \cdot 7 -f\)

Algebraic expression for the given statement is \(5 \cdot 7 -f\)

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Answer:  $110230 in 2015

Answer:

the value of x is 2

Step-by-step explanation:

if you subtract 3 from 15 you get 12 which you then divide by 6 which leaves with with 2