HELPPPPPPPPPP!!!!!!! MY EXIT TICKET PLEASE

Answer:

A. North

Step-by-step explanation:

The height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

The volume of the cylinder can = 1000 cubic cm

Consider the height of the cylinder as h and the radius of the base is r

Volume of the cylinder = π\(r^2\)h = 1000

h = 1000 / π\(r^2\)

The surface area of the cylinder

A = 2π\(r^2\) + 2πrh

A = 2π\(r^2\) + 2πr(1000 / π\(r^2\) )

A = 2π ( \(r^2\) + 1000 / π\(r^2\))

Differentiate the terms

A' =  2π (2r + 1000 / π\(r^3\))

When the minimum surface area

2π (2r + 1000 / π\(r^3\)) = 0

r = \((1000/2\pi )^\frac{1}{3}\)

r = 5.41 cm

Then,

h =  1000 / π\(r^2\)

= 1000 / (π × 5.41 × 5.41)

= 1000 / 91.94

= 10.87 cm

Hence, the height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

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Given that an 82 ft flag pole casts a shadow 45 ft long.

In the above diagram, AB is the flag, BC is the shadow and angle C is the ngle of elevation.

Now,

So, teh angle of elevation is 61.243 degrees.

So both stoplights will change color at the same time again after 270 seconds.

What is LCM ?

LCM stands for "Least Common Multiple". It is the smallest positive integer that is a multiple of two or more given integers.

To find the time when both stoplights will change color at the same time again, we need to find the least common multiple (LCM) of the two intervals of time.

The interval of time for stoplight A is 60 seconds, and the interval of time for stoplight B is 75 seconds. To find the LCM, we can start by listing the multiples of each interval until we find the smallest multiple that they have in common:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, ...

Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, ...

We can see that the least common multiple of 60 and 75 is 300, because it is the smallest multiple that they have in common. Therefore, after 30 seconds (the time that has already passed since both stoplights changed color), stoplight A will change color again in another 270 seconds (300 seconds - 30 seconds), and stoplight B will change color again in another 270 seconds (300 seconds - 30 seconds).

Therefore, So both stoplights will change color at the same time again after 270 seconds.

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Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

4, 8 ,16​

Step-by-step explanation:

4 * 2 = 8

8 * 2 = 16

Answer:

y=0x+-6

Step-by-step explanation:

y=mx+b

The logistic distribution is a continuous random variable with a probability density function (pdf) given by f(x) = \((1/(e^{(-x)} + 1))^2\). To plot the graph of the pdf, we can use R or any other programming language. Additionally, we can show that P(X > x) = 1/(1 + \(e^x\)) for all x.

(a) To plot the graph of the pdf, we can use R or any other programming language. In R, we can use the following code:

x <- seq(-10, 10, by = 0.1)

pdf <- \((1/(e^{(-x)} + 1))^2\)

plot(x, pdf, type = "l", xlab = "x", ylab = "f(x)", main = "Logistic Distribution")

This code generates a sequence of x-values from -10 to 10 with an increment of 0.1. Then, it calculates the pdf values using the given formula. Finally, it plots the graph using the plot function, specifying the x-axis label, y-axis label, and the main title.

(b) To show that P(X > x) = 1/(1 + \(e^x\)) for all x, we can use the cumulative distribution function (CDF) of the logistic distribution. The CDF of a logistic distribution is given by F(x) = 1/(1 + \(e^{(-x)}\)).

Now, let's calculate P(X > x) using the CDF:

P(X > x) = 1 - P(X ≤ x)

= 1 - F(x)

= 1 - 1/(1 + \(e^{(-x)}\))

= (1 + \(e^{(-x)}\))/(1 + \(e^{(-x)}\)) - 1/(1 + \(e^{(-x)}\))

= (1 + \(e^{(-x)}\)- 1)/(1 + \(e^{(-x)}\))

= \(e^{(-x)}\)/(1 + \(e^{(-x)}\))

= 1/(1 + \(e^x\))

Therefore, we have shown that P(X > x) = 1/(1 + \(e^x\)) for all x.

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Answer:

\(A=\) $\(966.306\)

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

\(A=P(1+\frac{r}{n})^n^{t}\)

where

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

\(t= 5\) \(years\)

\(P=\) $\(600.00\)  

\(r=10\)% \(=10/100=0.10\)

\(n=1\)

substitute in the formula above

\(A=600(1+\frac{0.10}{1})^1^*^5\)

\(A=600(1.10)^5\)  

\(A=\) $\(966.306\)

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 078, 0.79, 0.8

Hope this helps!

Answer:

There were 120 marbles to start

Step-by-step explanation:

Let x be the number of marbles at the start

x* 5/12 = number of marbles given away

1 -5/12 = 7/12 = fraction of marbles left

x * 7/12 = number of marbles left

x * 7/12 = 70

Multiply each side by 12/7

x *7/12 * 12/7 = 70 * 12/7

x =120

There were 120 marbles to start

Answer:

Answer:

B

Step-by-step explanation:

if two minutes at the time was 100percent,

then X=5percent

x=2×5/100=10/100=0.01 longer

so

0.01+2=2.01

Answer:

y = 32

Solving Way #1:

    This way uses the "tip" they give us of finding the relation between the first two values and then applying it to the second x.

    k = \(\frac{y}{x}\)

    2 = \(\frac{16}{8}\)

        -

     y = kx

     y = (2)(16)

     y = 32

Solving Way #2:

    Since they vary directly which each other, we can set up a proportion to solve. I have y values on the top and x values on the bottom.

    \(\frac{16}{8} =\frac{y}{16}\)

    256 = 8y

    32 = y

    y = 32

     Either way, when x is 16 y is 32.

Answer:

240

Step-by-step explanation:

We are given a right triangle. Based on the leg rule, the following equation shows how the length of a leg in a right triangle relates with the segments connected to the hypotenuse:

Hypotenuse/leg = leg/part

Where,

Hypo = 400

Leg = x

Part = 144

Substitute

400/x = x/144

Cross multiply

400*144 = x*x

57,600 = x²

√57,600 = x

240 = x

x = 240

Answer: . . . . . . Step-by-step explanation:

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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Answer:

my ans will be wrong also and right also 50%5$chances it is an opposite angle so it is in out manner so iys sum is 180 so we have to subbtract

Step-by-step explanation:

65०to 180०(180०-65०=115०) i think ans is 115०the missing angle measurement is 115०in my opinion

Answer:

polygon has 12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

the sum of the interior angles of a polygon is

sum = 180° (n - 2 ) ← n is the number of sides

given the sum of the interior angles is 5 times sum of exterior angles, then

sum = 5 × 360° = 1800° then

180° (n - 2) = 1800 ( divide both sides by 180 )

n - 2 = 10 ( add 2 to both sides )

n = 12

Thus the polygon has 12 sides

Answer:

4z-12

Step-by-step explanation:

the perimeter is the sum of all sides

so

\(P=(z+3)+(z-9)+(z+3)+(z-9)\\\\P=z+3+z-9+z+3+z-9\\\\P=4z+6-18\\\\P=4z-12\)

Answer:

D. Jacob rode a 45-kilometer race in 3 hours.

Step-by-step explanation:

1h = 15km

A. : 30m = \(\frac{30}{60}\) × 15km

              = 7.5km (not 2km)

B. : 15m = \(\frac{15}{60}\) × 15km

             = 3.75km (not 4km)

C. : 5h = 5 × 15km

             = 75km (not 20km)

D. : 3h = 3 × 15km

             = 45km (Yep, 45km)

The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

Convert the standard equation into a vertex form, then we have

x² + (b/a)x + (c/a) = 0

x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a)² - b²/4a² + c/a = 0

Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be

(x - h)² + k = 0

The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.

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Answer:

If Sharon has 300 channels with her cable service, then her monthly cost is calculated as follows:

300 channels × $0.20 per channel = $60

This means that Sharon's current cable bill is $60 per month. If she switches to Great Vista Satellite, her monthly cost will be $180, which is $120 more than her current bill. This increase in cost can be represented by the equation:

$120 = 300 channels × $0.20 per channel × m

where "m" is the number of months Sharon has to subscribe to the satellite service to break even.

Simplifying the equation, we get:

m = $120 ÷ ($0.20 × 300 channels) = 2

Therefore, Sharon will have to subscribe to the satellite service for 2 months to break even. After that, she will start saving $0.20 per channel per month compared to her cable service.

Answer:

-8x-4y

Step-by-step explanation:

distrubutive property

Answer:

The solution is n=1

Step-by-step explanation:

I hope you mean

4/5n-3/5=1/5n

if so then here's the solution

5n×4/5n-3/5×5n=1/5n×5n

4-3n=1

4-1=3n

3n=3

n=1

Answer:

294lbs

Step-by-step explanation:

You can find the weight by taking 10% of 280. (Move the decimal one spot to the left) That would be 28. Then divide 28 by 2 and you get 14, which would be 5%. Then add 14 to 280 and you get 294.

Crickets must have been introduced at the lambda = 2 is 20.

Given:

you observe 40 crickets on an island after crickets were first introduced 2 years ago ,  at the lambda = 2 how many number of crickets must have been introduced .

Let x be the crickets must have to been introduced.

Number of crickets = observed crickets / lambda value

we know that,

Observed crickets = 40

lambda value = 2

substitute these values

Number of crickets = observed crickets / lambda value

= 40 / 2

= 20 crickets.

Therefore Crickets must have been introduced at the lambda = 2 is 20.

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Full question:

you observe 40 crickets on an island after crickets were first introduced 2 years ago. at lambda = 2 how many crickets must have been introduced?

Answer: 648.0364

Step-by-step explanation:PORT is a rectangle. RST is a semi-circle with diameter RT. PQ = RT-60 cm. PT = QR = 45 cm. Calculate the volume of the prism.

The volume of the rectangular prism is 370000 cm³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular prism be P

Now , the value of P = Volume of Half cylinder + volume of rectangle

Let the length of the prism be = 90 cm

The cross section, PQRST, of the prism is a semi-circle above a rectangle

RST is a semi-circle with diameter RT

The diameter RT = 60 cm

The radius of the cylinder = 30 cm

The width of the rectangle PQ = 60 cm

The height of the rectangle QR = 45 cm

So , the volume of the rectangle = Length x Width x Height

Substituting the values in the equation , we get

Volume of Rectangle = 60 x 45 x 90

Volume of Rectangle = 2,43,000 cm³

And ,

Volume of half cylinder = ( 1/2 )πR²H

Substituting the values in the equation , we get

Volume of half cylinder = ( 1/2 ) π x 30 x 30 x 90

Volume of half cylinder = 40,500π

Volume of half cylinder = 1,27,234.5024 cm³

So ,

P = Volume of Half cylinder + volume of rectangle

Substituting the values in the equation , we get

P = 1,27,234.5024 + 2,43,000

P = 3,70,234.502 cm³

On rounding to 3 significant figures , we get

The volume of rectangular prism = 3,70,000 cm³

Hence , the volume of prism is 3,70,000 cm³

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