i need the RIGHT answer please

The rate of change in the given graph is 21/4.

The rate of change defines the speed of a variable changes over another variable. On the given graph, we can calculate the rate of change using the formula:

Rate of change = Δy / Δx

To calculate the rate of change of the given graph, we need to identify 2 points first. We take:

(0, 0)

(4, 21)

Rate of change = Δy / Δx

Rate of change = y₂ - y₁

                             x₂ - x₁

Rate of change = 21 - 0

                               4 - 0

Rate of change = 21/4

Learn more about Rate of Change here: brainly.com/question/29518179

#SPJ1

The proportion concept is used to determine the value of the unknown variable X. Consider that the value of X needs to be determined in the equation given below. dfrac {36} {6} = dfrac {X} {10} 636 = 10X The solution is given as follows dfrac {36} {6} = dfrac {X} {10} 636 = 10X 6 = dfrac {X} {10} 6 = 10X X = 6 times10 X = 6×10 X = 60 X = 60

Answer:

The measurement of angle H is 58°

Answer:

77

Step-by-step explanation:

G =2H+6=180

2H+6=180

2H=180-6

2H=154

H=154/2

=77

Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

The probability that the single server queuing system will contain 6 or more customers is 0.9779 (option d). This means that there is a high likelihood that the system will have at least 6 customers at any given time.

To calculate this probability, we can use the formula for the steady-state probability of the system being in state n or more, which is given by:
P(n or more) = (1 - ρ) * ρ^n / (1 - ρ^(N+1))
where ρ is the traffic intensity (arrival rate / service rate) and N is the number of servers. In this case, we have a single server, so N = 1.
First, we need to calculate the traffic intensity ρ. The arrival rate is 7 customers per hour, and the service rate is 15 customers per hour.
ρ = 7 / 15 = 0.4667
Next, we substitute the values into the formula:
P(6 or more) = (1 - 0.4667) * (0.4667^6) / (1 - 0.4667^(1+1))
P(6 or more) ≈ 0.9779
Therefore, the probability that the system will contain 6 or more customers is approximately 0.9779, or option d.

learn more about probability here

https://brainly.com/question/32117953



#SPJ11

Answer:

9 jars

Step-by-step explanation:

If you have 25.5 cups of peaches and each jar holds 3 cup you just divide 25.5 by 3 and you get 8,5. But if you want to hold all the peaches you round up to 9 jars.

Answer:

\( \sf \fbox{Age of pamela is 8 year}\)

Step-by-step explanation:

let the age of Debra is x and Pamela is x+7 year old,

Given condition- In 6 years Pamela will be twice as old as debra, so the algebraic expression will look like,

\(x+7+6 = 2(x+6)\)

\(x+13 = 2x + 12\)

\(2x-x = 13-12\)

\(x = 1\)

Age of debra is 1 years,

now we can calculate the age of pamela by substituting value of x,

x + 7 = 1 + 7 = 8 years

━━━━━━━━━━━━━━━━━━━━━━━

Verification-

after 6 years the age of debra & pamela will be 7 & 14. 14 is twice of 7 which satisfies the given condition.

\(\sf \small \pink{Thanks }\: \green{for} \: \blue{joining} \: \orange{brainly } \: \red{community}!\)

Answer:

18 and 21

Step-by-step explanation:

We take those two angles as 6x and 7x

133⁰ + 188° + 6x + 7x = 360(Sum of angles of a quadrilateral)

321+13x=360

13x=360-321

13x=39

x=39/13

x=3

6x=6x3=18

7x=7x3=21

Answer:

9528.75

Step-by-step explanation:

1089x8.75, or 1089x8 and 3/4 which is 9528.75

The total surface area of the pyramid is approximately 44.8 cm².

First, let's find the dimensions of the rectangular base. We know that BC = xcm and CD = 2x cm. Therefore, the length of the base is x + 2x = 3x cm, and the width of the base is BC = x cm. Thus, the area of the base is A_base = (length)(width) = (3x)(x) = 3x² cm².

Next, let's find the area of each triangular face. To do this, we need to know the length of each side of the pyramid. We are given that AB = AC = AD = AE, and we can use the Pythagorean theorem to find the length of each side. Let's call the length of each side s. Then, we have:

s² = AB² + BC² s² = x² + (3x/2)² s² = x² + 9x²/4 s² = 13x²/4 s = √(13)/2 * x

Now we can find the area of each triangular face using the formula A_triangle = (1/2)(base)(height), where the base is the length of one side of the pyramid and the height is the perpendicular distance from the vertex to the base. Since the vertex is directly above the center of the base, the height is simply AO = 5x cm. Thus, the area of each triangular face is:

A_triangle = (1/2)(s)(AO) = (1/2)(√(13)/2 * x)(5x) = (5√(13)/4)x² cm²

Finally, we can find the total surface area of the pyramid by adding up the area of the base and the areas of the four triangular faces:

Total surface area = A_base + 4A_triangle

Total surface area = 3x² + 4(5√(13)/4)x²

Total surface area = 3x² + 5√(13)x²

We have found the surface area of the sphere, but the problem asks us to calculate the total surface area of the pyramid. To do this, we substitute the value of x that satisfies the equation for the volume of the sphere into the equation for the surface area of the pyramid. We are given that the volume of the sphere is 288 cm³:

(4/3)πr³ = 288

Substituting the value of r that we found earlier:

(4/3)π[(72/π)]³ = 288

Simplifying:

r = 6 cm

Now we can use the radius of the sphere to find the value of x. Since the vertex of the pyramid is directly above the center of the base, the height of the pyramid is equal to the radius of the sphere, which is 6 cm. Therefore, we have:

5x = 6 x = 6/5

Now we can substitute this value of x into the equation for the surface area of the pyramid that we found earlier:

Total surface area = 3x² + 5√(13)x²

Total surface area = 3(6/5)² + 5√(13)(6/5)²

Total surface area = 44.8 cm²

To know more about surface area here

https://brainly.com/question/27784309

#SPJ4

Answer:

Step-by-step explanation:

The lengths of the sides of a triangle are 3t, 5t - 12, and t + 20 . a. Find the value(s) of that t make the triangle isosceles. b. Does any value of make the triangle equilateral?

As you can see, I have my subsidies trying out and, like, a lot of time president focused on assessing. Okay, so we need to figure out what seat for the size that we're giving you could put them in any order you want. So we're gonna try this order for us, and then we're gonna try. So we're gonna do you know that the inside of the a softly triangle in this out of this triangle are equal to each other. And when you add them together, there has to be greeted with this out of this. Had a trying. So we're first gonna do three t is equal to five t oneness. Well, arguments of drugs five from both sides fascinate this negative to t is equal to negative. After this, we could divide negative to on both sides to find out what see is to get T bites so tracked, divided by negative tune. And then we're gonna do t is equal to negative 12 of our negative to 6 36 So we're going to check our solution by plugging in six. So when we plug six into this equation, we're gonna gate 18 3 times six is 18. And when we plug six into this equation, we're gonna get five times six, which is dirty five times six is 30 and you're going to subtract. Told him 30 that gave to. And then we're gonna put 6 40 and we're gonna add it to Tony, which is 26. And then after this, we're gonna add these two 18 18 to figure it out if it's hired into 6 18 plus 18 is 36. So it's harder 26 c is equal to is equal to six. Like I said before, this is not the only order because switch up the sides with them in different places. So I'm gonna take away this side. I took a week this, and I'm gonna put I want to take with this ad too, and I'm in. I'm gonna put t this 20 this side and five C minus. Whoa, This Okay, so we're gonna do the same thing we did over here. We're gonna do three t is equal to C plus 25 because these two sides great. See? Do you see before? See e waas 20 first. We're going to subtract C from both sides we're gonna get to t is equal to finding. And then we're gonna divide to from both sides to get by itself. And, uh, an anti is equal to 10 because 20 the bottom right to it. So we also know that he gave me 10. So we're gonna plug 10 in today, San plus 10 times their times three is equal to this is dirty. And we also know we're gonna put 10 for this side. A tent was 20 is dirty also, it's an end times what? It's 50 When you subtract well, you get 36. No, you get 30 feet, you get 38 when you add 30 plus dirty is 60. So this works. So t is also equal to 10 and we're gonna switch up the order again. This sound this one, I believe this one. And also as you know, we're switching at the side, trying all the possible leads with right. Let's go drop this trying. So this side now will be treaty. And this I will be five c minus slow. We're gonna go. We're gonna do five minutes. 12 is equal to 10 is equal city plus 20 because we know these two sides has equal five feet on its 12. I just love equal See loose. Okay, As you can see, we're going to subtract, see from both sides. And I was going to or C and I'm going to do two steps at a time for gonna actual on this side to everything this tool to get rice on one side of the equation. So I'm gonna add so so both side, and it's gonna before C is equal to dirty, too. We're gonna divide both sides by four to get see bites. So four divided by 36 is line for teeth equal to nine. We're gonna plug that incident equation tee. Times five is nine times five is 45. We're gonna subject for from him that is equal to 32. 33 and then we're gonna do nine waas 20. So amid a misty 2012 is actually 32. So these so t is actually equal to eight because three times 32 divided by four is eight. And we're gonna redo this one because so eight times five is 40 eight times five is sporting. And when we take away Whoa. 40 minus 12 is 28 is doing a So we're gonna do and we're gonna put in April. See here too. This is gonna be a plus 20 which is 28. We're gonna plug in eight for decide eight times three is 24 24. And as you see, this is obviously lower. It's gonna be lowered, indecent. Act together. So, you know, seek and also equal to eight. So for the sausages triangle there. Three possible answers for teeth, depending on how you put the sides which side before, which in just it depend on how you put your sides for the collateral. We know that all of the size has to equal to one thing. And from this, the signs don't equal the same thing One of them is You could get two of them to equal to each other so you can get rid of the size to be able to the same thing. So for the equilateral triangle, it's not possible. So not

Answer:

A) 15.33

B) 843333.33

Step-by-step explanation:

Step-by-step explanation:

density is mass/volume.

usually it is expressed as grams/cm³.

the question does not give us the information about the dimensions for density. so, I am going with my assumption.

the volume of a cylinder is

ground area × height

the ground area is a circle, so this is

pi×r²×height

r is the radius and therefore half of the diameter.

so, we have in our case as volume :

pi×(20/2)²×5 = pi×100×5 = 500pi = 1,570.796326... m³

1 m = 100 cm

1 m³ = 100×100×100 = 1,000,000 cm³

so, the volume of our cylinder is then also

1,570,796,326.7948966192... cm³

1 kg = 1000 g ("kilo" means 1000)

1300 kg = 1,300,000 g

so the standard density is

1,300,000/1,570,796,326.7948966192... g/cm³ =

= 0.000827606... g/cm3

The density of the waste is approximately 0.827 kg/m³.

A physical property is known as density gauges a substance's mass per unit volume. It is referred to as the mass-to-volume ratio.

The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base of the cylinder and h is the height.

Since the diameter of the silo is 20m, the radius is 10m. Therefore, the volume of the silo is:

V = π(10m)²(5m) = 500π m³

Since the silo is full to the top with 1300kg of waste, the density of the waste is:

density = mass/volume

density = 1300kg/(500π m³)

density ≈ 0.827 kg/m³

Therefore, the density of the waste is approximately 0.827 kg/m³.

To know more about density follow

https://brainly.com/question/21368570

#SPJ2

Answer:

h = 2

Step-by-step explanation:

-22 = -11h

/-11 /-11

2 = h

hope this helps

Answer:

\(h=2\)

Step-by-step explanation:

STEP 1: Rewrite the equation as \(-11h=-22\).

\(-11h=-22\)

STEP 2: Divide each term by \(-11\) and simplify.

\(h=2\)

We are given that T(x) = 2 + 0.3 and we are supposed to find the total time required for a worker to produce units 20 through 30. the time required to produce the 20th unit as:

T(20) = 2 + 0.3 × 20 = 8 hours The time required to produce the 30th unit as:

 T(30) = 2 + 0.3 × 30 = 11 hours The time required to produce the 21st unit to 29th unit is: T(21) + T(22) + ... + T(29)We know that T  (x) = 2 + 0.3x

So, substituting the values, we get: T(21) + T(22) + ... + T(29) =

(2 + 0.3 × 21) + (2 + 0.3 × 22) + ... + (2 + 0.3 × 29)= 29.7 hours

So, the total time required to produce units 20 through 30 is:8 + 11 + 29.7 = 48.7 hours .

To know more about units,visit:

https://brainly.com/question/23843246

#SPJ11

Answer:

A

Step-by-step explanation:

tank 2 goes down by a constant difference : -40

The productivity of the truck in bank measure is most nearly 32.3 (option C).

To calculate the productivity of the truck in bank measure, we need to convert the loose density to bank density. Bank measure refers to the volume of material when it is compacted or in its natural state, while loose measure refers to the volume of material when it is loose or not compacted.

The formula to convert loose density to bank density is as follows:

Bank Density = Loose Density / (1 + Moisture Content)

Since the moisture content is not provided in the question, we assume it to be zero for simplicity. Therefore, the bank density is equal to the loose density.

Next, we need to calculate the truck's productivity in bank measure. The formula for productivity is:

Productivity = Truck Capacity / Cycle Time

However, the truck capacity and cycle time are not provided in the question. Therefore, we cannot directly calculate the productivity.

Given that we have the specifications of the truck's density, we can make an estimation based on industry standards. A common truck capacity for earth hauling is around 20 cubic yards. The cycle time can vary depending on factors such as loading and dumping time, travel distance, and road conditions. For estimation purposes, let's assume a cycle time of 30 minutes (0.5 hours).

Using these values, we can calculate the productivity as follows:

Productivity = Truck Capacity / Cycle Time

Productivity = 20 / 0.5

Productivity = 40 cubic yards per hour

However, the productivity is measured in bank measure (yd³/hr), so we need to adjust the result based on the bank density.

Adjusted Productivity = Productivity * (Loose Density / Bank Density)

Adjusted Productivity = 40 * (100 / 110)

Adjusted Productivity ≈ 32.3 cubic yards per hour (bank measure)

Therefore, the productivity of the truck in bank measure is most nearly 32.3 (option C).

Learn more about productivity here:

brainly.com/question/29652804

#SPJ11

The largest area possible is when the length and width of the chicken pen are both 100 feet. In that case, the area of the chicken pen would be 10,000 square feet.

We are given that the farmer has 200 feet of fencing to build a rectangular chicken pen along the side of a barn. We need to find the largest possible area the chicken pen can have.

To do this, we need to find the length and width of the chicken pen such that the total amount of fencing used is 200 feet.

Since the total amount of fencing needed is 200 feet, the length and width of the chicken pen must both be 100 feet. In this case, the area of the chicken pen would be 10,000 square feet.

Therefore, the largest area possible is 10,000 square feet when the length and width of the chicken pen are both 100 feet.

Learn more about area here

https://brainly.com/question/13194650

#SPJ4

Answer:

A) -15, 5, 2

Step-by-step explanation:

Step-by-step explanation:

-4 -11 = ?

x X 3 = 15

4 x 2 x 3x = 48

Answer Choices:

B) 15, 4, 13

Answer:

Step-by-step explanation:

8(y+4)=2(x+1)

divide by 8    y+4=1/4x+1/4   subtract 4    y=1/4x - 3 3/4   multiply by 4   y=1/4(x-15)

Answers:

Equation in standard form: \(y = \frac{1}{8}(x+1)^{2} -4\)

Axis of Symmetry: x = -1

Vertex: (-1, -4)

Focus: (-1, -2)

Directrix: y = -6

Step-by-step explanation:

First, let's clean up some of the mess with the equation that we have been given in this question and put it in standard form so that we can find the features we've been asked to give.

Our initial equation is:  \(8(y+4)=(x+1)^{2}\)

In order to put our equation in standard form, we must isolate y, so that it is in terms of y.

First, we need to divide both sides by 8. When we do this, we get  \(y+4=\frac{(x+1)^{2} }{8}\) or \(y+4=\frac{1}{8}(x+1)^{2}\). Then we need to subtract 4 from both sides to get:  \(y = \frac{1}{8}(x+1)^{2} -4\).

Now, we can start to find the features of the parabola. Remember, the standard form of equations involving parabolas is \(y=a(x-h)+k\) where \(a =\frac{1}{4p}\).

The axis of symmetry is at \(x=h\), in this case \(h=-1\) so the axis of symmetry is \(x=-1\).

The vertex is located at \((h, k)\). As we previously stated \(h=-1\), but additionally, \(k=-4\) making the vertex located at \((-1,-4)\).

The focus is located at \((h, k+p)\) and the directrix is located at \(y=k-p\). For this, we need to find p which we can find with the equation \(a =\frac{1}{4p}\). Substituting the value of “a” into the equation, we get \(\frac{1}{8} = \frac{1}{4p}\). We can cross-multiply to get the equation \(4p=8\). Dividing by 4 on both sides, we get \(p=2\). Now we can find the focus and directrix.

The focus is located at \((-1, [-4+2])\) or \((-1,-2)\) and the directrix is represented by the equation \(y=(-4-2)\) or \(y=-6\).

Hopefully this answered your question this time, and with this, I hope you are able to solve it without help the next time

The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases. we need to consider the information given regarding its decrease in value.

The piece of machinery decreases in value by 22.5% each year. This means that its value after one year is \(100\% - 22.5\% = 77.5\%\) of its original value. In other words, its value is 0.775 times its original value.

To model the value of the machinery after x years, we need to consider the exponential decay function. The general form of an exponential decay function is:

y = \(a(1 - r)^x\)

Where:

- y represents the value after x years.

- a represents the initial value.

- r represents the decay rate (expressed as a decimal).

In this case, the initial value (a) is $150,000 and the decay rate (r) is 22.5% or 0.225.

Therefore, the equation representing the value of the piece of machinery after x years would be:

y = \(\$150,000 * (1 - 0.225)^x\)

Simplifying the equation further, we have:

y = \(\$150,000 * (0.775)^x\)

From this equation, we can see that the value of the machinery decreases exponentially over time. The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases.

For more such questions on graph

https://brainly.com/question/19040584

#SPJ8

Answer:

Answer at the bottom!!

Step-by-step explanation:

Given the diameter of cylinder = 1.4 m

=> Radius = 1.4/2 = 0.7 m

We know that volume of a cylinder = πr²h

= 3.14 x 0.7² x 2.1= 3.23 m³

For the pipe radius = 3.5/2 = 1.75 cm = 0.0175m

water flows at a rate of 2 m per second

So, volume of water discharged in one second by pipe = πr²L

= 3.14 x 0.0175² x 2=0.0019

Hence time taken by the pipe to fill the cylinder

= 3.23/0.0019= 1700 sec

= 28 minutes and 20 seconds

Hence the time taken by the pipe to fill the cylinder is 28 minutes and 20 seconds.

Hope this helps!!

The angle of intersection at each point is 42.3 degrees.

Angle is the space between the line or the surface that meets.  And the angle is measured in degrees. For complete 1 rotation, the angle is 360 degrees.

The helix r(t) = (cos(πt/2), sin(πt/2), t) intersect the sphere z = x² + y²+ z² = 2.

The coordinate (x, y, z) of the helix satisfies the equation of the sphere.

Then we have;

cos² (πt/2) + sin² (πt/2) = 1

So, the helix intersects the sphere when t = 1. This is the point

(cosπ/2, sinπ/2, 1) = (0, 1, 1)

The angle of intersection between the helix and the sphere is the angle between the tangent vector to the curve and the tangent plane to the paraboloid.

The tangent vector to the helix in t = 1

r'(t) when t = 1

r (t) = (cosπt/2, sinπt/2, 1)

r' (t) = (- sin (πt/2) π/2, cos (πt/2) π/2, 0)

At t = 1;

r' (t) = (- π/2, 0, 0)

A normal vector to the tangent plane of the surface

n = x² + y² + z²

at the point (0, 1, 1) is given by

\((\dfrac{df}{dx} (0,1,1), \dfrac{df}{dy} (0,1,1), \dfrac{df}{dz} (0,1,1))\)

Here, we have;

\(\dfrac{df}{dx}= 2x\\\dfrac{df}{dx} (0,1,1) = 0\)

\(\dfrac{df}{dy}= 2y\\\dfrac{df}{dy} (0,1,1) = 2\)

\(\dfrac{df}{dz}= 2z\\\dfrac{df}{dz} (0,1,1) = 2\)

So, a normal vector to the tangent plane is (0, 2, 2)

The angle between the tangent vector and the normal vector can be found using the dot product:

\(\theta = \dfrac{arccos((r'(t) \triangledown (x^2 + y^2 + z^2))}{(||r'(t)|| \times ||∇(x^2 + y^2 + z^2)||)) }\)

After substituting the values,

\(\theta = arccos \frac{2}{\sqrt{(\dfrac{\pi^2}{4} + 5)}}\)

\(\theta = 42.3^{\circ}\)

More about the angles link is given below.

brainly.com/question/15767203

#SPJ12

Answer

third choice

Step-by-step explanation:

Answer:

it would be the 3rd answer

The equation containing the two given points is

a) y + 2 = −4(x−5)

 An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

 Equations can be graphed, they are used to model many problems and theories.

To solve this problem we must evaluate both points in each of the equations, both points must be satisfied in order to validate that they are contained in the function.

Another way is to determine the slope "m"

m = y2-y1 / x2-x1

m = 18-(-2) / 0 - 5

m  = -4

Equation of the line containing both points

-2 = -4(5) + b

b = 18

y = -4x + 18

a) y + 2 = −4(x−5)

y + 2 = -4x + 20

y = -4x + 18    Contains the points

b) x + 4y = − 12

4y = -12 - x

y = -3 -x/4   NO Contains the points

c) y − 6= −4(x + 1)

y = -4x - 4 +6

y = -4x + 2    NO Contains the points

d) y = −4x − 12   NO Contains the points

e) y = −4x + 18    NO Contains the points

f) 4x + y=18     NO Contains the points

Learn more about equations at:

brainly.com/question/8806877

#SPJ4