Find the area of each figure. If necessary, use 3.14 for pi. and round to the
nearest hundredth 6ft 5ft 3ft 4ft

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

The answer is 153.9

Step-by-step explanation:

To get the answer we will first divide 14 by 2 because we are trying to find the area.  14 ÷ 2 = 7.  Now multiply 7 x 7 x π, which equals 154.9 rounded to the nearest tenth.

Answer:

153.9 ft.²

Step-by-step explanation:

\(A=\pi r^2\) where r is the radius of the circle

The radius is equal to half the diameter, so to find r, divide 14 ft. by 2:

14÷2=7

Plug 7 into the equation as r

\(A=\pi (7)^2\\A=\pi (49)\\A=153.9\)

Therefore, the area of the circle is 153.9 ft.² when rounded to the nearest tenth.

I hope this helps!

The probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is 0.478

This probability problem can be solved using the binomial distribution. In this case, the probability of success is 0.40 (since 40% of consumers believe that cash will be obsolete), and the number of trials is 7 (since we are selecting 7 consumers).

To find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete, we need to find the probability of getting 0, 1, or 2 successes. We can use the binomial probability formula to calculate each of these probabilities and then add them together:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Where X is the number of consumers who believe that cash will be obsolete, and P(X) is the probability of getting X successes.

The probability of getting exactly X successes in a binomial distribution with probability of success p and number of trials n is given by the formula:

P(X) = (n CX) * p^X * (1 - p)^(n - X)

Where (nCX) represents the number of ways to choose X successes from n trials, and is calculated using the binomial coefficient formula:

(nCX) = n! / (X! * (n - X)!)

Where n! represents the factorial of n, which is the product of all positive integers up to and including n.

Using this formula, we can calculate the probabilities of getting 0, 1, and 2 successes as follows:

P(X = 0) = (7C0) * 0.40^0 * 0.60^7 = 0.028

P(X = 1) = (7C1) * 0.40^1 * 0.60^6 = 0.15

P(X = 2) = (7C2) * 0.40^2 * 0.60^5 = 0.30

Thus, the probability of getting fewer than 3 successes is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.028 + 0.15 + 0.30 = 0.478

Hence, the probability is 0.478.

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Answer:

5%

Step-by-step explanation:

Answer:

Triangle KLM

Step-by-step explanation:

Firstly, we need to write the coordinates of triangle NPQ

We have this as;

(-7,-6) for N

(-4,-3) for P

(-4,-6) for Q

Now, we are going to use the given translation formula;

(x + 8, y + 1)

N’ will be (-7+ 8, -6 + 1) = (1,-5)

P’ will be (-4+ 8, -3+1) = (4,-2)

Q’ will be (-4+ 8, -6+1) = (4,-5)

Now, we need to find the triangle with the exact given transformation coordinates calculated above;

We have the triangle as;

KLM

With K as (1,-5) ; L as (4,-2) and ; M as (4,-5)

The area of metal needed to make the tool is r² times the sum of 1/2π and the square root of 3.

To determine the area of metal needed to make the tool, we need to find the areas of the semicircle and the isosceles triangle and then add them together.

The area of a semicircle with radius r is:

A(semi-circle) = 1/2πr²

Since the tool consists of a semicircle, we can use the diameter of the semicircle to represent the width of the isosceles triangle.

Let the height of the isosceles triangle be h and the base be b.

Since the triangle is isosceles, we can divide it in half and treat it as a right triangle.

Using the Pythagorean :

h² + (b/2)² = r²

Since the diameter of the semicircle is the same as the base of the isosceles triangle, we have:

b = 2r

Substituting this into the equation above, we get:

h² + r² = 4r²

h² = 3r²

h = √(3)r

The area of an isosceles triangle with base b and height h is:

A(triangle) = 1/2bh

Substituting b = 2r and h = √(3)r, we get:

A(triangle) = 1/2(2r)(√(3)r)

A(triangle) = √(3)r²

Adding the area of the semicircle and the isosceles triangle, we get:

A(tool) = A(semi-circle) + A(triangle)

A(tool) = 1/2πr² + √(3)r²

A(tool) = r²(1/2π + √(3))

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Given that Charlotte ran 1.25 miles, let's represent this distance as a fraction.

To write this as a fraction, we have:

First step:

Divide the decimal by 1

Second step:

Multiply the numerator and denominator by 100, because it has 2 decimal places (hundreth)

To simplify this, we have:

ANSWER:

In order to find the equivalent expression, let's expand the term in parenthesis:

So the correct option is A.

Both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

To determine which arrangement of the four juice boxes uses the least amount of plastic wrap, we need to consider the total surface area that needs to be covered in each arrangement.

Arrangement 1:

In this arrangement, we can place the four juice boxes in a 2x2 square configuration, with two boxes stacked horizontally and two boxes stacked vertically. Let's calculate the total surface area to be covered:

Surface area of a single box = 2(lw) + 2(lh) + 2(wh)

= 2(107) + 2(105) + 2(7*5)

= 140 + 100 + 70

= 310 cm²

Since we have four boxes in this arrangement, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Arrangement 2:

In this arrangement, we can stack the four juice boxes in a single column, one on top of the other. Let's calculate the total surface area for this arrangement:

Surface area of a single box is the same as in the previous arrangement:

Surface area of a single box = 310 cm²

Since we have four boxes stacked vertically, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Therefore, both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

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The answer to the question is A, 1 1/3.

The values of h(x) at the indicated values are h(1) = e, h() = e^0 = 1, h(-4) = e^(-4), and h(3) = e^3.

To evaluate the function h(x) = e^x at the given values, we substitute the values of x into the function and calculate the corresponding outputs.

1. h(1): We substitute x = 1 into the function: h(1) = e^1 = e, where e is the mathematical constant approximately equal to 2.718.

2. h(): We substitute x = 0 into the function: h() = e^0 = 1. Any number raised to the power of 0 is equal to 1.

3. h(-4): We substitute x = -4 into the function: h(-4) = e^(-4). The value e^(-4) is the reciprocal of e^4, which is approximately 0.01832.

4. h(3): We substitute x = 3 into the function: h(3) = e^3. The value e^3 is approximately equal to 20.085.

Therefore, the evaluated values are h(1) ≈ 2.718, h() = 1, h(-4) ≈ 0.01832, and h(3) ≈ 20.085.

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Answer:

D each number gets divided by four

Step-by-step explanation:

Hope this helps

The first choice, is exponential, because there is a relatively consistent multiplicative rate of change.

An exponential function is a function whose value is a constant raised to the power of an argument

1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.

These are the data:

Time (min) ------ Temperature (°F)

0 ----------------------- 200

10 ---------------------- 180

20 --------------------- 163

30 --------------------- 146

40 ---------------------131

50 -------------------- 118

60 -------------------- 107

2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.

3) The other two options involve exponential models.

The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.

4) You can prove it:

i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:

y₁ = A [r]¹

y₂ = A[r]²

y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.

ii) Test some data:

180 / 200 = 0.9

163 / 180 ≈ 0.906 ≈ 0.9

146 / 163 ≈ 0.896 ≈ 0.9

131 / 146 ≈ 0.897 ≈ 0.9

118 / 131 ≈ 0.901 ≈ 0.9

107 / 118 ≈ 0.907 ≈ 0.9

As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.

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Answer:

first choice, exponential, because there is a relatively consistent multiplicative rate of change.

explanation:

because it is <3

The number of teams that can be formed is 401

To determine the number of teams that can be formed with the given number of participants, we need to divide the total number of participants by the number of members per team.

Here we have

Number people registered = 3208

Number of members each team will have is 8 members  

The number of teams that can be formed is equal to 3208 ÷ 8

Number of teams = 3208/8 = 401  

Therefore,

The number of teams that can be formed is 401

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Answer:

Step-by-step explanation:

34

Answer:

(+8×5) + (-6)

(+40) + (-6)

(+40-6)

(+34)

The number of children and adults using the swimming pool is x=318, and y=235 respectively.

Given that,

Swimming pool on a certain hot summer day 553 people use the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1085.25.

Here,
let the number of children be x and the number of adults be y,
According to the conditions,
x + y = 553,  - - - - - - (1)
1.75x + 2.25y = 1085.25 - -- - - - - -(2)
Solving the above equations by substitution of x from 1 in equation 2.
1.75[y - 553] + 2.25y = 1085.25
x = 318
Now,
x = 553 - 318
x = 235

Thus, the number of children and adults using the swimming pool is x=318, and y=235 respectively.

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The length of the segment AC is 15.73 units.

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three fundamental trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions. The entire notion of COS includes a variety of themes.

For the given right triangle the angle A is 70 degrees and the hypotenuse = 46.

Using trigonometric identity we have:

Cos A = adjacent side to A / Hypotenuse

Cos (70) = x / 46

0.34(46) = 15.73

Hence, the length of the segment AC is 15.73 units.

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Answer:

Explanation:

Given the expression:

This can be written as a difference of two squares. But before that, we can rewrite the expression as:

So, as a different of two squares, we write:

The distance between the ships changing at 3.00 p.m is 12.2 mile/mph.

What do you mean by differentiation?

A derivative of a function with respect to an independent variable is what is referred to as differentiation. Calculus's concept of differentiation can be used to calculate the function per unit change in the independent variable.

A function of x would be y = f(x). Next, the formula for the rate of change of "y" per unit change in "x" is as follows:

dy / dx

It is given that ship A is 8 miles west of ship B and ship a is sailing north at 10mph and ship b is sailing south at 7mph

Let x and y be the initial position of the ships A and B

Let  x be the distance between A and x

y as the distance between B and x

z as the distance between A and B

Using pythagoras theorem,

\(z^{2} =x^{2} +y^{2}\)

Differentiating both sides wrt t,

2z dz/dt = 2x dx/dt + 2y dy/dt

Divide the equation by 2

z dz/dt = dx/dt + dy/dt --- (1)

dx/dt = 10 mile/mph

dy/dt = 7 mile/mph

When t = 3 hours,

x = 30, y = 21 and

z = \(\sqrt{x^{2} +y^{2} }\)

Substituting the values

z = √(\(30^{2} +21^{2}\))

z = √(900 + 441)

z = √1341 = 36.6

Substituting it in equation (1)

36.6 dz/dt =30×10+ 21×7

dz/dt = 447/36.6

dz/dt = 12.2 mile/mph

Therefore, the distance between the ships changing at 3.00 p.m is 12.2 mile/mph.

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Answer:

A,

Step-by-step explanation:

Hey There. Your Answers Are A. And D.

Step-by-step explanation:

Given

Exterior angle of a regular polygon = 45 degree.

Find

Name of the shape of polygon

Explanation

As we know that sum of exterior angle of exterior angle is 360 degree.

given each angle = 45 degree

so,

number of sides of regular polygon =

number of sides = 8

Final Answer

The shape of the regular polygon = octagon

PLEASE GIVE ME BRAINLIEST! :)

Answer:

2 cos(θ) + 3 sin(θ) = 6/r

Step-by-step explanation:

To convert the equation 2x + 3y = 6 to polar coordinates, we need to express x and y in terms of r and θ.

Using the fact that x = r cos(θ) and y = r sin(θ), we get:

2(r cos(θ)) + 3(r sin(θ)) = 6

Simplifying this equation, we get:2r cos(θ) + 3r sin(θ) = 6

Dividing both sides by r, we get:2 cos(θ) + 3 sin(θ) = 6/r

This is an equation equivalent to 2x + 3y = 6 in polar coordinates.

The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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Answer:

$7.53 should be

Step-by-step explanation:

The function form of the given function would be  \(f(x)=log_b(x)\).

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logbx.

So the function form would be the function of x is equal to the logarithmic of x having base b.

so this can be written as

       \(f(x)=log_b(x)\)

Hence, the function form of the given function would be  \(f(x)=log_b(x)\).

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The function form of the given function would be  \(f(x)=log_b(x)\).

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logbx.

So the function form would be the function of x is equal to the logarithmic of x having base b.

so this can be written as

\(f(x)=log_b(x)\)

Hence, the function form of the given function would be  \(f(x)=log_b(x)\).

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Answer:

288miles

Step-by-step explanation:

Given data

Base fee= $14.99

Additional charge= $0.88

let the number of miles be x

and the total charges for x miles be y

hence the expression for the total is

y=14.99+0.88x------------1

when y=268.43

let us substitute into the eqn 1 to find x

268.43=14.99+0.88x

268.43-14.99= 0.88x

253.44=0.88x

x= 253.44/0.88

x= 288 miles

Hence the number of miles is 288miles