А
Question 5
Dwight owns 1600 acres of farmland. He wants to split the PLEASE HELP TIMED TEST !!

land into fourths and sell off each of the parcele, which expression shows the amount of acres that each parcel will contain? Select ALL that apply
1600 =
1600-4
1600
B
С
D
16.4
E
1600-
1600+
F

Answer:

21.875 Miles

Step-by-step explanation:

If azul averages 12.5 miles per hour, we can multiply the time it took azul to bike up the mountain trail times the distances per hour

Using the system of equations we get the values of 3 digit number as:

238

Given:

The sum of the digits of a three-digit number is 13.

The tens digit, t, is 1 more than the hundreds digit, h. The units digit, u, is 3 more than the sum of the tens and hundreds digits.

we are asked to determine each digit of the given number:

we frame the equation as:

tens digit (t) = 1+h

hundreds digit (h) = h

units digit (u) = 3+(t+h)

hence,

h + (1+h) + (3+(t+h)) = 13

open the brackets.

h+1+h+3+(t+h)=13

substitute t value from the above mentioned state.

h+1+h+3+((1+h)+h)=13

h+1+h+3+1+h+h=13

arrange the like terms and add.

4h + 5 = 13

4h = 13-5

4h=8

h = 8/4

h = 2

hence we get the hundreds digit as 2.

now substitute it to get t and u value.

t = 1+h

t = 1+2

t = 3

tens digit = 3

u = 3+(t+h)

u = 3+(3+2)

u = 3+5

u = 8

units digit = 8

Hence we get the number as 238 whose sum is 13 when added.

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The dimensions of the plot would be length = 28 feet and width = 9.5 feet.

Let l be the length and w be the width of the rectangular plot.

A farmer needs to enclose three sides of a plot with a fence and the farmer has 47 feet of fence

So, 2w + l = 47 feet

l = 47 - 2w

Area of the plot = w*l

Also, a farmer wants the plot to have an area of 266 sq-feet.

Area = w(47 - 2w)

266  = 47w - 2w²

2w² - 47w + 266 = 0

We solve above quadratic equation.

w = 14 or w = 9.5

The width should be less than the length so w = 9.5

l = 47 - 2(9.5)

l = 47 - 19

l = 28 feet.

Therefore, the dimensions of the plot:

length = 28 feet and width = 9.5 feet .

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The sequence is defined by the formula an = (−1)n − 1 3n. To find the first five terms of the sequence, we substitute the values of n from 1 to 5 into the formula and evaluate the expression.

We can plug in the values of n from 1 to 5 into the formula an = (−1)n − 1 3n to find the corresponding terms of the sequence.

For n = 1, we have a1 = (−1)^1-1 / (3^1) = 0 / 3 = 0.

For n = 2, we have a2 = (−1)^2-1 / (3^2) = 1 / 9.

For n = 3, we have a3 = (−1)^3-1 / (3^3) = -1 / 27.

For n = 4, we have a4 = (−1)^4-1 / (3^4) = 1 / 81.

For n = 5, we have a5 = (−1)^5-1 / (3^5) = -1 / 243.

Therefore, the first five terms of the sequence are 0, 1/9, -1/27, 1/81, and -1/243.

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Function describes the graph of the transformed function is  4*e^(x-1)+3.

What is Function?

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

Adrienne is close, but she mixed up left and right

The x-1 in the exponent means we shift 1 unit right, and not left.

It's a bit confusing since it seems backwards.

But you can think of it like this: replacing x with x-1 shifts the xy axis 1 unit to the left, so we have the illusion the curve moved 1 unit to the right.

Here's one way to write out the transformation steps

f(x) = e^x

4*f(x) = 4*e^x .... vertical stretch by factor of 4

4*f(x-1) = 4*e^(x-1) ... shift 1 unit right

4*f(x-1)+3 = 4*e^(x-1)+3 ... shift 3 units up

g(x) = 4*e^(x-1)+3

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Function describes the graph of the transformed function is  4*e^(x-1)+3.

What is Function?

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

Adrienne is close, but she mixed up left and right

The x-1 in the exponent means we shift 1 unit right, and not left.

It's a bit confusing since it seems backwards.

But you can think of it like this: replacing x with x-1 shifts the xy axis 1 unit to the left, so we have the illusion the curve moved 1 unit to the right.

Here's one way to write out the transformation steps

f(x) = e^x

4*f(x) = 4*e^x .... vertical stretch by factor of 4

4*f(x-1) = 4*e^(x-1) ... shift 1 unit right

4*f(x-1)+3 = 4*e^(x-1)+3 ... shift 3 units up

g(x) = 4*e^(x-1)+3

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Answer:

a) £284

b)11

Step-by-step explanation:

To find the weekly wage you have to solve this equation where y=wage, x=number of hours overtime and z=basic pay:

y=x*£16+z

a) y=9*£16+£140 = £284

b) You need to invert the formula, letting on the left side of the equal only the x:

x=(y-z)/£16

so you have:

x=(£300-£124)/£16 = 11

Answer:

4ft

Step-by-step explanation:

If you multiply 3 by 2, you get the sum of the widths. (6)

14-6 = 8

8 is the sum of the lenghts.

Becasue the lengths have to be equal divide it by 2

8/2 = 4

Using property of independent events, there should be 12 sophomore girls present in the class.

If the occurrence of one event has no bearing on the likelihood that the other will also occur, then the two events are independent. The likelihood that both occurrences A and B will occur is defined mathematically as being equal to the product of the probabilities of A and B (i.e., P) (A and B)

Given,

There are twelve freshmen boys, sixteen freshmen girls, and nine sophomore boys

and two events are independent if,

p(A ∩ B) = P(A). P(B)

Let sophomore girls present = x

               Freshmen       sophomore        Total

Boys              12                     9                    21

Girls               16                     x                    16 + x

Total              28                 9 + x                37 + x

P(Boys) = \(\frac{21}{37 + x}\)

P(Freshmen) = \(\frac{28}{37 + x}\)

P(Boys ∩ Freshmen) = \(\frac{12}{37 + x}\)

Using p(A ∩ B) = P(A). P(B),

\(\frac{12}{37 + x} = \frac{21}{37 + x} \times \frac{28}{37 + x}\)

\(12(37 + x) = 21 \times 28\\x = 12\)

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The two steps which would complete the list to convert units between different systems of measurement correctly are:

4. Multiply the original measure by the conversion factors.

5. Check for reasonableness.

Measurement can be defined as an act or process through which the size, magnitude, dimensions, or distance traveled by a physical object or body is taken, especially for the purpose of an experiment.

A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.

Conversion:

20 inches = 1 foot

X inches = 5 feet.

Cross-multiplying, we have:

X = 20 × 5

X = 100 inches.

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Using arithmetic operations it is obtained that the patient inhales approximately 29,520 times in a 24-hour day.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

We can start by converting the patient's breathing rate from seconds to minutes, since we have the heart rate in minutes.

Use the arithmetic operation of multiplication and division -

The patient inhales once every 3 seconds, which is equivalent to -

(1 inhale / 3 seconds) x (60 seconds / 1 minute) = 20 inhales per minute

Next, we can use the patient's heart rate to find the number of breaths per heartbeat, and then multiply by the heart rate to get the total number of breaths per minute -

Breaths per heartbeat = 1 inhale / 4 heartbeats (since each heartbeat corresponds to 4 phases of the cardiac cycle, during which the patient inhales and exhales once)

Breaths per minute = (Breaths per heartbeat) x (Heart rate)

= (1/4) x 82

= 20.5

So the patient takes approximately 20.5 breaths per minute.

Multiplying this by the number of minutes in a day (24 hours x 60 minutes per hour = 1440 minutes) gives -

Breaths per day = (Breaths per minute) x (Minutes per day)

= 20.5 x 1440

= 29,520

Therefore, the number of inhales is 29,520.

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Answer:

69.0

Step-by-step explanation:

So basically you just solve for it and das it. Now make me a sandwich

The mean and standard deviation of sampling distribution are 0.0187 and 0.010 respectively

The mean is a measure of location which tells us the average of observation.

Standard deviation tells us how dispersed a data is or how much variation our data contains.

According to question,

The population size : N = 1500

Number of fraudulent in a month : 28

Population proportion : P = 28/1500

=> P = 0.0187

Sample size: n = 180

Sample proportion : p = 28 / 180

=> p = 0.156

Therefore The mean of sampling distribution for the sample size 28,

μ = P

=> μ = 0.0187

The standard deviation will be

=> σ = \(\sqrt{\frac{p(1-p)}{n}}\)

Substituting the value,

=>  σ = \(\sqrt{\frac{0.0187(1-0.0187)}{180}}\)

=>  σ  = 0.010

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The mass of cubic nickel piece has been 1112.5 kg.

According to the statement

we have given that the A cubic piece of metal measures 5.00 cm on each edge. if the metal is nickel, whose density is 8.90g/cm^3.

And we have to find the mass of the cube.

So, For this purpose, we know that the

Cube is a regular solid with six square faces.

The mass and the volume of the cube is

V = a^3

Where the edge length of the cubic nickel metal has been, a = 5.00cm

Substituting the value for the volume (V) of nickel cube:

V = (5)^3

V = 125 cm^3

And

The volume of cubic metal piece has been found to be 125 cm^3.

And

The density has been defined as mass of the substance, per unit volume. The density can be expressed as:

d = m/v

The density of a given sample, is 8.90 g/cm^3

The volume of the given sample, is 125 cm^3.

So,

mass = density* volume

mass = 8.90*125

Mass = 1112.5 kg

So, The mass of cubic nickel piece has been 1112.5 kg.

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Step-by-step explanation:

could the conditional statement be written in another way

there are 54,633,624 different collections of 16 coins chosen at random that will contain at least 3 coins of each type.

We have three types of coins, and we need to choose at least 3 coins of each type from a collection of 16 coins.

Let's consider each type of coin separately.

For the first type of coin, we need to choose at least 3 coins from the available coins. There are 8 coins of this type, so the number of ways to choose at least 3 coins is the sum of the number of ways to choose 3, 4, 5, 6, 7, and 8 coins:

C(8,3) + C(8,4) + C(8,5) + C(8,6) + C(8,7) + C(8,8) = 969

Similarly, for the second type of coin, we also have 8 coins to choose from, and we need to choose at least 3 coins. So the number of ways to choose at least 3 coins is also 969.

For the third type of coin, we only have 6 coins to choose from, so the number of ways to choose at least 3 coins is:

C(6,3) + C(6,4) + C(6,5) + C(6,6) = 56

Now, we need to multiply the number of ways to choose coins of each type together, since these choices are independent.

969 x 969 x 56 = 54,633,624

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Each individual result of a probability experiment is called an "outcome" (d).

An outcome refers to a specific result or occurrence that can happen when conducting a probability experiment. It represents the different possibilities or potential results of an experiment.

For example, when flipping a fair coin, the possible outcomes are "heads" or "tails." In this case, "heads" and "tails" are the two distinct outcomes of the experiment.

Similarly, when rolling a fair six-sided die, the possible outcomes are the numbers 1, 2, 3, 4, 5, or 6. Each number represents a different outcome that can occur when rolling the die.

In summary, an outcome is a specific result or occurrence that can happen during a probability experiment. It is essential to understand outcomes as they form the basis for calculating probabilities and analyzing the likelihood of different events occurring.

Thus, each individual result of a probability experiment is called an "outcome" (d).

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1. The peak value of a waveform is the highest value of a waveform, whereas the peak-to-peak value of a waveform is the difference between the maximum positive and maximum negative values of a waveform.

2. The statement "For expressions that are time-dependent or that represent a particular instant of time, an uppercase letter such as V or I is used." is false.

3. The statement "The sine wave is the only alternating waveform whose shape is not altered by the response characteristics of a pure resistor, inductor, or capacitor" is true.

1. The peak value of a waveform refers to the maximum value reached by the waveform in one direction, while the peak-to-peak value refers to the difference between the highest and lowest points of the waveform.

2. For expressions that are time-dependent or that represent a particular instant of time, a lowercase letter such as v or i is used. The uppercase letter is used to represent the RMS or average value of a waveform.

3. The sine wave is the only alternating waveform that maintains its shape when passing through a pure resistor, inductor, or capacitor because the impedance of a pure resistor, inductor, or capacitor is frequency-independent whereas other waveforms, such as square waves or triangular waves, can be altered by the frequency-dependent characteristics of reactive components like inductors and capacitors.

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Answer:

1/6 probability

Step-by-step explanation:

He only got one even number out of 6 attempts, so its a one in six 1/6.

To prove that gcd (n,n+2) is either 1 or 2 for any integer n, we can use a proof by contradiction. We can conclude that gcd (n,n+2) is either 1 or 2 for any integer n.

Suppose there exists an integer n such that gcd (n,n+2) is not 1 or 2, and let k be the gcd of n and n+2, where k ≥ 3. Then k is a common divisor of n and n+2, and k is not equal to 1 or 2.

Since k divides both n and n+2, we can write n = ka and n+2 = kb, where a and b are integers. Subtracting these equations gives 2 = kb - ka = k (b-a).

Since k is not equal to 1 or 2, it follows that k must be greater than or equal to 3. Therefore, k cannot divide 2, which implies that k (b-a) ≠ 2. This contradicts our assumption that gcd (n,n+2) is not 1 or 2.

Hence, we can conclude that gcd (n,n+2) is either 1 or 2 for any integer n.

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The required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

Equation: A declaration that two expressions with variables or integers are equal.

In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

A formula would be 3x - 5 = 16, for instance.

The equation would be:

C is the total cost and m is the miles driven.

We know that:
Charge of the truck: $35

Charge per mile: $2.50

Then, form the equation as follows:

C = 35 + 2.50m

Therefore, the required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

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The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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Answer:

y=3x(x+1)(x-2)=3x^3-3x^2-6x

Step-by-step explanation:

The polynomial function can be written in the form:

y=a(x-x1)(x-x2)(x-x3)

where

x1=-1

x2=0

x3=2

Therefore

y=a(x+1)(x-0)(x-2)=a(x^2+x)(x-2)=a(x^3-x^2-2x)

To find the value for "a" we use the info about the line passing in (1,-6):

-6=a(1-1-2)

a=3

y=3x(x+1)(x-2)=3x^3-3x^2-6x

Answer:

f(x) = 3x3 - 3x2 - 6x

Good luck! :D

Step-by-step explanation:

Answer:

D, Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.

Step-by-step explanation:

When we are dealing with ratios it is common to hear phrases such as "for every". In this circumstance for every 10 books Caleb has on his bookshelf, 7 of them are always nonfiction. This can also be used if we want to expand the ratio, for example, 14:20. The ratio would still be equivalent to 7:10 because each factor increased at the same rate.

After calling the parents, and explaining them the issue of smashed phone, they travelled at a speed of 2.223 m/s = 8.0028 km/hr

As per the question statement, we are given that we call our parents to explain our issue with having a smashed phone and your parents travel at 20000 meters in 2.5 hours. We are supposed to find out that how fast did the parents rush to get here. Basically we have to find their speed of travelling.

Before solving the question, we must be aware that what is speed.

\(speed = \frac{distance}{time}\)

and distance and time should be in SI units.

Given distance = 20,000 meters

Given time = 2.5 hours

\(1 hour = 60 min\\2.5 hour = 2.5*60\\2.5 hour = 150 min\)

\(1 min = 60 sec\\150 min = 150*60 sec\\150 min= 9000 sec\)

Therefore given time = 9000 sec

Therefore speed = \(\frac{distance}{time} = \frac{20000}{9000}\)

Speed= 2.223 m/sec

Hence they travelled at a speed of 2.223 meters per second

2.223 m/s = 8.0028 km/hr

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Answer:

36 inches would be 3 feet

Step-by-step explanation:

To find the mass of the thin bars, we need to integrate the density function over the given interval. The density function is given as p(x) = 1 + sin x, for 0 ≤ x ≤ π.

We know that density is defined as mass per unit volume. In this case, the density function represents the mass per unit length. So, to find the mass of the thin bars, we need to integrate the density function over the given length.

The formula for mass is given as:

m = ∫ρ(x)dx

where m is the mass, ρ(x) is the density function, and dx is the infinitesimal length element.

So, in this case, we have:

m = ∫(1 + sin x)dx

Integrating this expression, we get:

m = x - cos x + C

where C is the constant of integration.

Now, we need to evaluate this expression for x = π and x = 0 and subtract the two to get the mass of the thin bars.

m = π - cos π - (0 - cos 0)

m = π + 1

Therefore, the mass of the thin bars with the given density function is π + 1.

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The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.

The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).

Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.

In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.

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Answer: 96 servings.

Step-by-step explanation:
There are 16 cups in 1 gallon, so 3 gallons of punch would be equal to:

3 gallons x 16 cups/gallon = 48 cups

If each serving size is 1/2 cup, then the number of servings in 3 gallons of punch would be:

48 cups / (1/2 cup/serving) = 96 servings

Therefore, 3 gallons of punch would provide 96 servings, assuming each serving size is 1/2 cup.

By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.

According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.

1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.

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Answer:

17

Step-by-step explanation:

15 - 35 ÷ 7 ∙ 2 + 3 ∙ 4 =

Follow the correct order of operations.

= 15 - 5 ∙ 2 + 12

= 15 - 10 + 12

= 5 + 12

= 17

Answer: the answer is 17

Step-by-step explanation:

We follow a rule called the PEMDAS it stands for parenthese, exponents, multiplicatio, divison, additio, subtraction

(also keep in mind that for the M D A S always do multiplication or division first then additio and subtraction)

Step 1: in this case we do NOT have parenthesis or exponents so we can elimate P and E so we see that 35 is divided by 7= 5

Step2: now our equation is 15-5*2+3*4 now we see that 5 is multiplied to 2=10 and 3 is multiplied to 4=12

step 3: our equation now looks: 15-10+12 (whichever operation comes first do that in this case it’s subtraction so 15-10=5)

step 4: 5+12=17

therfor the final answer is 17