Without working out the multiplication, which product is larger, why? 3 × 1/5 or 3 × 1/10

Answer:

Step-by-step explanation:

If Kale is at 2345 feet and needs to reach 3283, he will need to travel another 938 feet.

The vertical distance between Kale and the mountain peak is  ft

The given parameters are:

Hike Distance = 2345 ft

Peak = 3283 ft

Let the vertical distance be x.

So, we have:

x + 2345 = 3283

Subtract 2345 from both sides

x = 938

Hence, the vertical distance between Kale and the mountain peak is  ft

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Answer:

\(x=\frac{7-\sqrt{137} }{4} =-1.76\)

Step-by-step explanation:

when x is 0.5 then y value is 3, x is 1.5 then y is 9 and x is 4.5 then y is 27.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

A proportion is an equation in which two ratios are set equal to each other

In the given table the value of x is 0.5 and value of y is 3

y/x=3/0.5=6

In the second row the value of x is 1.5 we need to find value of y.

3/0.5=y/1.5

4.5=0.5y

Divide both sides by 0.5

y=9

In third row the value of x is 4.5 and y is 27

Hence, when x is 0.5 then y is 3, x is 1.5 then y value is 9 and x is 4.5 then y is 27.

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Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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One of the most popular dance types of the sixteenth century was the pavane, another one are galliard and allemande.

Instruments in math are tools or processes used to perform mathematical operations and calculations. Examples of instruments in math include calculators, rulers, compasses, protractors, and computers. These instruments can be used to solve problems, analyze data, and understand mathematical concepts. Additionally, instruments in math can be used to teach students about problem-solving and allow them to gain a deeper understanding of mathematics.

This was a slow, stately dance, usually in duple meter, that was popular in courts and societies across Europe. It was usually accompanied by lute or harpsichord and sometimes with viols. The pavane was often used as a ceremonial dance in courts and was usually performed by couples.

Another popular dance type of the sixteenth century was the galliard. This was a lively, energetic dance, usually in triple meter, that was popular in courts and societies across Europe. It was usually accompanied by lute or harpsichord and sometimes with viols. The galliard was often used as a dance for entertainment and was usually performed by couples.

The third popular dance type of the sixteenth century was the allemande. This was a slow, stately dance, usually in duple meter, that was popular in courts and societies across Europe. It was usually accompanied by lute or harpsichord and sometimes with viols. The allemande was often used as a ceremonial dance and was usually performed by couples. It was usually danced in a line or circle formation, with each dancer taking the lead in turn.

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Answer:

the correct answer is A less than my good sir ( or ma'am )

Step-by-step explanation:

Answer:

Step-by-step explanation:

i = prt (interest = principal x rate x time)

i = 2500 x 0.061 x 10

i = $1525 interest

balance = principle + interest

balance = 2500 + 1525

balance = $4025 balance

The circumference of the circle with a radius of 6 feet would be approximately 37.7 feet.

The circumference of a circle is the distance around the outer edge of the circle. It is the perimeter of the circle, which is the total length of the boundary that encloses the area of the circle.

The formula for the circumference of a circle is

C = 2πr

Where C is the circumference, r is the radius, and π is approximately 3.14.

If a circle has a radius of 3 feet, the circumference would be

C = 2πr

C = 2π(3)

C ≈ 18.85 feet

When the radius doubles to 6 feet, the circumference would be

C = 2πr

C = 2π(6)

C ≈ 37.7 feet

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Answer:

double, and 36

Step-by-step explanation:

Mc graw hill

Q...

Answer:

A) There is a vertical shift

Step-by-step explanation:

There is clearly a vertical shift because since +6 is outside of the parentheses, you go up 6.

Answer:

k

Step-by-step explanation:

Step-by-step explanation:

dhsiiabkljefklpajv sl

Using a midpoint Riemann sum with 3 subintervals of equal length to approximate \(\int^{70}_{10}v(t)dt\) is 2020 and \(\int^{70}_{10}v(t)dt\) means the distance in feet, traveled by rocket A from t=0 seconds to t=70 seconds.

From the given question,

An initial height of 0 feet at time t=0 seconds.

The velocity of the rocket is recorded for selected values of over the interval 0 < t < 80 seconds.

(a) Using a midpoint Riemann sum with 3 subintervals of equal length to approximate \(\int^{70}_{10}v(t)dt\).

\(\int^{70}_{10}v(t)dt\)

A midpoint Riemann sum with 3 sub intervals so, n=3

∆t= (70-10)/3

∆t = 60/3

∆t = 20

Intervals: (10, 30), (30,50), (50,70)

Midpoint:      20        40         60

Midpoint Riemann Sum

\(\int^{70}_{10}v(t)dt\) = ∆t[v(20+v(40)+v(60)]

From the table

\(\int^{70}_{10}v(t)dt\) = 20[22+35+44]

\(\int^{70}_{10}v(t)dt\) = 20*101

\(\int^{70}_{10}v(t)dt\) = 2020

(b) Now we have to explain the meaning of v(t)dt in terms of the rocket's flight \(\int^{70}_{10}v(t)dt\).

It means the distance in feet, traveled by rocket A from t=0 seconds to t=70 seconds.

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Answer:

k=8/5

Step-by-step explanation:

k=y/x according to formula

k=8/5

Answer:

110 - 2x

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 50 + 5x - 40 + 110 - 2x = 180, that is

4x + 120 = 180 ( subtract 120 from both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

x + 50 = 15 + 50 = 65°

5x - 40 = 5(15) - 40 = 75 - 40 = 35°

110 - 2x = 110 - 2(15) = 110 - 30 = 80°

The largest angle is (110 - 2x)° = 80°

Answer:

Geometric

Step-by-step explanation:

By a constant factor of -2

9(-2) = -18

-18(-2) = 36

36(-2) = -72

I hope this helps!

If the altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the triangle is increasing at a rate of 1 square centimeter/minute. then the Base of the triangle is changing at a rate of 28.2 cm/min when the altitude is 10 cm and the area is 94 sq cm.

The given data is the altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the triangle is increasing at a rate of 1 square centimeter/minute. then the rate of the base of the triangle changing when the altitude is 10 centimeters and the area is 94 square centimeters is calculated as,

  Area of a triangle = 1/2 * base * height

    The given area of the triangle is 94 square centimeters.

 Area of the triangle = 1/2 * base * altitude

 94 = 1/2 * b * 10b

      = 18.8 centimeters

Differentiate w.r.t t 94 = 1/2 * b * hdb/dt

                                     = -94 / 5 dA/dt

                                     = 1 square centimeter/minute

                                     = dh/dt * b / 2dh/dt

                                      = (2 / b) * dA/dt

             Substitute the values in the above equation,

                         3 = (2 / 18.8) * dA/dtdA/dt

                           = (3 * 18.8) / 2

                           = 28.2

        square centimeters/minute Base of the triangle is changing at a rate of 28.2 cm/min when the altitude is 10 cm and the area is 94 sq cm.

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Step-by-step explanation:

Using the formula:

Future Amount = I(1 + r)^t

I = $30

r = 0.20

t = 3

Future Amount = $30(1 + 0.20)^3

Future Amount = $30(1.20)^3

Future Amount = $30(1.728)

Future Amount = $51.84

Therefore, the future amount is $51.84.

Answer:

\(\textsf{Future amount}=\boxed{30}\;(1+\boxed{0.20}\;)\;^{\boxed{3}}\)

The future amount of an initial investment of $30 at an annual simple interest rate of 20% for the period of 3 years is $51.84.

Step-by-step explanation:

"Future amount" is the total value or amount of an investment or sum of money at a specific point in the future.

The future amount formula refers to a mathematical equation used to calculate the future value of an investment or sum of money, taking into account factors such as interest rate and time period.

The given future amount formula is:

\(\boxed{\textsf{Future amount}=I(1+r)^t}\)

where:

Given:

Substitute the given values into the future amount formula:

\(\textsf{Future amount}=\boxed{30}\;(1+\boxed{0.20}\;)\;^{\boxed{3}}\)

Calculate:

\(\begin{aligned}\sf Future\;amount&=30(1+0.20)^3\\&=30(1.2)^3\\&=30(1.728)\\&=51.84\end{aligned}\)

Therefore, the future amount of an initial investment of $30 at an annual simple interest rate of 20% for the period of 3 years is $51.84.

Answer:

B

Step-by-step explanation:

Answer:

It's d

Step-by-step explanation:

It's d because 12 + 8=20 while 12 + 6=18

I hope this helps

10000 millions or 999 billion is 1 trillion

Answer:

A.B.C.D.H

Step-by-step explanation:

Answer:

This is not a lie... "A" "B" "C" "D" and, "H" is quite literally the answer.

Step-by-step explanation:

I was seriously doubting that the answer was going to be that, but... dang It's right.... that comment must really like "terms" this question.... Juan is about to check which taco he likes for every term.... which ones should he check? carne asada? pollo asado? pork?...... but wait.... there's combination flavors... o.o, he decides to choose all that apply to his liking.

I'm sorry but I couldn't help myself, Mexicans might understand better lol.

Have a Jocular Day

Answer:

0.125

Step-by-step explanation:

convert to decimal, then divide

Each pair of events should be dragged to the correct location in the table as follows;

Dependent Events                                Independent Events

On time and rainy                                   delayed and sunny

Snowy and on time

Foggy and delayed

Based on the information provided in the table (see attachment), we can calculate the probability for each of the events as follows;

P(sunny) = 36/189

P(delayed) = 83/189

P(sunny and delayed) = 15/189

P(on time) = 153/189

P(rainy) = 29/189

P(on time and rainy) = 20/189

P(on time and snowy) = 5/189

P(snowy) = 153/189

P(foggy) = 29/189

P(delayed and foggy) = 4/189

P(delayed) × P(sunny) - P(sunny and delayed)

83/189 × 36/189 - 15/189 = 0.004 ≈ 0 (it is an independent event).

In conclusion, we can logically deduce that all of the other events would be classified as dependent events.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Dependent Events                                   Independent Events

-on time and rainy                                   -delayed and sunny

-snowy and on time

-foggy and delayed

hope this helped!

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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The dimension of the box should be 1.7×1.7×3.58 in inches, applying minimization of surface area.

Dimensions to Minimize the Surface Area of the Box

It is given that the box is square based with an open top.

⇒ The box has one square and 4 rectangles

Thus, the total surface area of the box is given as,

S= a²+ab+ab+ab+ab  

S= a²+4ab ______________ (1)

Here, a is the side of the squared base and length of the rectangular sides of the box, b is the breath of the rectangular sides of the box.

This equation is later used for minimization of the surface area.

Also, the volume, V = a²b

It is also given that volume of the box is 184 in³.

⇒ 184 = a²b _____________ (2)

Forming a One-Variable Equation

From equation (2), b=184/a²

Now, substitute this value of b in equation (1) to get,

S = a² + 4a(184/a²)

S = a² + 4(184/a)

S = a² + 736/a

Minimization of Surface Area to find the Dimension

We require a dimension that will minimize the surface area of the box. Hence, applying minimization surface area, dS/da = 0

dS/da = 2a -736/a²

0 = 2a -736/a²

⇒ 0 = 2a³- 736

2a³ = 736

a³ = 736/2

a³ = 368

a = ∛368

a= 7.17 in

∵V = a²b

184 = (7.17)²b

b = 184/7.17²

b = 184/51.4089

b = 3.58 in

Therefore, 1.7×1.7×3.58 in inches is the required dimension for the box, using minimization of surface area..

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Answer:

2.24

Step-by-step explanation:

The rate of decrease at 10 seconds is - 0.642.

The formula for exponential growth is y = y₀.e^(kt).

The formula for exponential decay is y = y₀.e^(-kt).

From the graph, we conclude that it is an exponentially decaying function.

At t = 10, depth = 60 and at t = 0 depth = 112

                                                                   (as every box represents 4 units).

So, the rate of decrease can be obtained by,

112 = 60.e^(-10k).

e^(-10k) = 1.86.

lne^(-10k) = ln1.86.

- 10k = 6.42.

k = - 0.642.

The rate of decrease at 10 seconds is - 0.642.

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Given:

XY = 8n + 4

YZ = 4n + 8

XZ = 15n - 9

Y between X and Z so, XY + YZ = XZ

So,

8n + 4 + 4n + 8 = 15 n - 9

solve to find n

So, combine like terms

12 n + 12 = 15 n - 9

12 n - 15 n = -9 - 12

-3 n = -21

divide both sides by -3

n = -21/-3 = 7

So,

The length of XZ = 15n - 9 = 15 * 7 - 9 = 96

In order to determine whether the project should be accepted or not when the discount rate is 12.5 percent, we can use the profitability index (PI) which is calculated by dividing the present value of cash inflows by the initial investment.

The formula for PI is:PI = (PV of cash inflows) / (initial investment)

A project should be accepted if the profitability index is greater than 1. Therefore, we need to calculate the profitability index (PI) of the project using the given information and determine whether it is greater than 1 or not.

The given answer choices are:

No; because the Pl is 3.3

Yes; because the PI is 3.0

No; because the Pl is 0.8

Yes; because the PI is 2.6

Yes; because the PI is 2.2

However, there is no information given regarding the Pl (present value of cash inflows) for any of these answer choices.

Therefore, we cannot use these answer choices to determine whether the project should be accepted or not when the discount rate is 12.5 percent. So, we need to calculate the PI using the given information and check if it is greater than 1 or not.

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Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

Answer:

The required equation is: y=-3

Option D is correct.

Step-by-step explanation:

We need to write equation of line that is perpendicular to y = 5 and passes through (-4,-3).

The equation of line in slope-intercept form is expressed as: \(y=mx+b\)

where m is slope and b is y-intercept.

Finding Slope:

Comparing with the given equation y=5, the slope m =0

The slope of required line will be opposite reciprocal of 0 as both lines are perpendicular. so it will be m=0

Finding y-intercept

The y-intercept can be found using slope m=0 and point (-4,-3)

\(y=mx+b\\-3=0(-4)+b\\b=-3\)

So, y-intercept b is b=-3

The equation of required line having slope m=0 and y-intercept b=-3 is

\(y=mx+b\\y=0(x)-3\\y=-3\)

So, required equation is: y=-3

Option D is correct.