Answer:
done it step by step
Step-by-step explanation:
While problem and solution essays are considered expository (writing that exposes facts) in nature, they are persuasive in nature because they call for ____________ to a problem. Evidence An explanation A solution
While problem and solution essays are considered expository (writing that exposes facts) in nature, they are persuasive in nature because they call for a solution to a problem.
What is the problem?
A mathematical problem is one that can be modeled, examined, and potentially resolved using mathematical techniques. This can be a practical issue, like figuring out the orbits of the planets in our solar system, or a more theoretical issue, like Hilbert's problems.
The expository essay is a type of essay that calls for the student to research a topic, assess the evidence, elaborate on the topic, and present an argument about the topic in a clear and succinct manner. This can be done by using examples, definitions, comparisons, cause and effect analyses, and more.
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A DJ charges a $350 booking fee, plus an hourly rate of $45. The Martins want to book the DJ for a party that will last 5 hours. How much will the DJ charge them? answer
The DJ will charge them $575.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given that,
Booking fee for DJ = $350
Rate for an hour = $45
Let x be the number of hours DJ is lasting.
Expression to find the total charge for x hours is 350 + 45x.
The Martins want to book the DJ for a party that will last 5 hours.
Cost for the DJ party for Martins = 350 + (45 × 5) = $575
Hence the cost for the DJ party booked by Martins is $575.
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A certain factory produces and sells 8000 cars per month, making a monthly net profit of P dollars. They sell
each car for n dollars and it costs them c dollars to produce a single car.
Write an equation that relates P. n, and c.
Answer:
p= 8000n-8000c
Step-by-step explanation:
8000
p= n - c
or
p= 8000n-8000c
Esentially you need to subtract n, the amount they sell each car for by c, the amount it costs to produce a car, (which should be less because the company has to make money) this would give you the total they make a month, P.
Because the amount of cars is constant, 8000, you can always multiply the cost of the car and how much its sold for by 8000. Otherwise, you would have another variable like k, which would be how many cars sold
Gravity acceleration at the Earth surface is 9.81 m/s². What is the acceleration in inches/s² (rounded to the nearest tenth) ?
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.
1 meter is equal to 39.37 inches.
To convert the units, we can set up the following conversion factor:
1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²
Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:
Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²
Acceleration in in/s² ≈ 15222.7568 in/s²
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
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Planes A and B intersect. Which describes the intersection of plane A and line m? Oline k B m Olinen À point X O point W X 3 k Y Z
The intersection of plane A and line m can be describes as line m .
What is reflectional symmetry?Let's a plane. Consider a design or shape on that plane. Now consider an axis.
If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, therrefore that shape is called to have a reflectional symmetry.
Given that Planes A and B intersect.
We can see the two walls as planes in geometry.
A plane can be thought of as a wall or a floor of a room also a flat surface that has no thickness.
When two planes intersect, their intersection is a line.
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What is the length of EF in the right triangle below?
D
26
10
E
F
The measure of side length EF in the right triangle is 24.
What is the measure of side length EF?The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
From the diagram:
Hypotenuse DE = c = 26
Leg DF = a = 10
Leg EF = b = ?
Plug in the values and solve for b:
c² = a² + b²
26² = 10² + b²
676 = 100 + b²
b² = 676 - 100
b² = 576
b = +√576 ( we take the positive value since we are dealing with dimensions)
b = 24
Therefore, the length EF is 24.
Option C)24 is the correct answer.
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A truck with 30-in.-diameter wheels is traveling at 50 mi/h.
Find the angular speed of the wheels in rad/min, "hint convert miles to inches & hours to minutes:
_________rad/min
How many revolutions per minute do the wheels make?
___________rpm
Answer:
A. the angular speed is 3771.4 rad/min
b. 5921 rpms
Step-by-step explanation: I just got this same question right on a test.
Y= - x^2 + 4x + 6 in vertex form
\( \rm \color{lime}(2,10)\)
step-by-step explanation:
\(\rm \color{lime}y = - {x}^{2} + 4x + 6\)
identify the coefficients\(\rm \color{lime}a = - 1,b = 4\)substitute the coefficient into the expressionfind the x-coordinate of the vertex by substituting a = - 1 and b=4 \( \tt \tiny \: x = - \frac{b}{29} \)\(\rm \color{lime}x = - \frac{4}{2x( - 1)} \)
solve the equation for Xfind the y-coordinate of the vertex by evaluating the function for x = 2\(\rm \color{lime}y = - {x}^{2} + 4x + 6,x = 2\)
calculate the function value for x = 2\(\rm \color{lime}y = 10\)
since the value of the function is 10 for x = 2 the vertex of the graph of the quadratic function is a (2,10)\( = \rm \color{hotpink} (2,10)\)
hope it helps
Answer:
y = - (x - 2)² + 10
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
y = - x² + 4x + 6 ( factor out - 1 from the first 2 terms )
y = - (x² - 4x) + 6
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
y = - (x² + 2(- 2) + 4 - 4) + 6
y = - (x - 2)² + 4 + 6
y = - (x - 2)² + 10 ← in vertex form
URGENT 50 POINTS + BRAINLY
What is the sum of the infinite geometric series?
25 minus 10 plus 4 minus eight fifths plus continuing
The series diverges.
five halves
fifty sevenths
one hundred twenty-five sevenths
eighty-seven fifths
Answer: \(C. \frac{125}{7}\)
Step-by-step explanation:
1. Find the sum of the infinite geometric sequence:
\(S = \frac{125}{7}\)
2. Find the correct option:
C
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
If the prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5, what would you need to multiply it by to get the prime factorization of 3000?
To get the Prime factorization of 3000 we need to multiply by 5.
What is Prime Factorization:When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.
For example, the Prime factorization of 45 is given below
=> 45/5 = 9, 9/3 = 3, 3/3 = 1
=> 45 = 5 × 3 × 3
Here we have
The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5
Let us assume that on multiplying with p,
we will get the factorization of 3000
=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000
=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)
Her 2 x 2 × 2 × 3 × 5 × 5 = 600
=> p = \(\frac{3000}{600}\)
=> p = 5
Therefore,
To get the Prime factorization of 3000 we need to multiply by 5.
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Use this formula to calculate compound interest:
Principal x (1 + Interest Rate)(Time)
$100
Interest Rate = 4%
Time= 5 years
Using the information above, how much money would you have after 5 years? Choose the answer that is closest to the exact answer.
The amount after 5 years on $100 using the compound interest is $122.
According to the question,
We have the following information:
Principal = $100
Interest Rate = 4%
Time= 5 years
We know that the following formula is used to find the total amount if there is compound interest:
Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years
(Note that there are different formulas for compound interest depending on how it is calculated.)
A = \(100(1+\frac{4}{100})^{5}\)
A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)
A = 100*1.22
A = $122
Hence, the amount after 5 years on $100 using the compound interest is $122.
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The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, produced by Phonola Media, is related to the price per compact disc. The equation
p = −0.00051x + 5 (0 ≤ x ≤ 12,000)
where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price. The total monthly cost (in dollars) for pressing and packaging x copies of this classical recording is given by
C(x) = 600 + 2x − 0.00002x2 (0 ≤ x ≤ 20,000).
Hint: The revenue is
R(x) = px,
and the profit is
P(x) = R(x) − C(x).
Find the revenue function,
R(x) = px.
R(x) =
Answer:
\(R(x) = -0.00051x^2 + 5x\)
\(P(x) = -0.00049x^2 + 3x-600\)
Step-by-step explanation:
Given
\(p = -0.00051x + 5\) \(\to\) \((0 \le x \le 12,000)\)
\(C(x) = 600 + 2x - 0.00002x^2\) \(\to\) \((0 \le x \le 20,000)\)
Solving (a): The revenue function
We have:
\(R(x) = x * p\)
Substitute \(p = -0.00051x + 5\)
\(R(x) = x * (-0.00051x + 5)\)
Open bracket
\(R(x) = -0.00051x^2 + 5x\)
Solving (b): The profit function
This is calculated as:
We have:
\(P(x) = R(x) - C(x)\)
So, we have:
\(P(x) =-0.00051x^2 + 5x - (600 + 2x - 0.00002x^2)\)
Open bracket
\(P(x) =-0.00051x^2 + 5x -600 - 2x +0.00002x^2\)
Collect like terms
\(P(x) = 0.00002x^2-0.00051x^2 + 5x - 2x-600\)
\(P(x) = -0.00049x^2 + 3x-600\)
Which is the volume of the Sphere with a diameter of 6 inches?
Volume
Sphere
=
A
288 Tt in
B
48 Tt in
C 36 Tt in
D 108 Tt in
Answer:
C
Step-by-step explanation:
because 6×6 is 36 so yeahh
You are given that z > 2. Write an inequality for each expression.
a) 2z+ 9
b) 3(z - 4)
c) 4+2z
d) 5(3z-2)
a) The inequality for the expression 2z + 9 is 2z + 9 > 13.
b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The inequality for the expression 4 + 2z is 4 + 2z > 8.
d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.
a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:
2z > 2 * 2
2z > 4
Adding 9 to both sides:
2z + 9 > 4 + 9
2z + 9 > 13
Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.
b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:
3z - 3 * 4
3z - 12
Since we are given that z > 2, we can substitute z > 2 into the expression:
3z - 12 > 3 * 2 - 12
3z - 12 > 6 - 12
3z - 12 > -6
Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:
4 + 2z > 4 + 2 * 2
4 + 2z > 4 + 4
4 + 2z > 8
Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.
d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):
5 * 3z - 5 * 2
15z - 10
Considering the given inequality z > 2, we can substitute z > 2 into the expression:
15z - 10 > 15 * 2 - 10
15z - 10 > 30 - 10
15z - 10 > 20
Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.
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The gift is 1.5 feet tall and Amberly choose to leave one of its bases uncovered. Explain how many many square inches of paper she would use to wrap the gift, assuming the paper does not overlap
And one of the bases is 9 inches by 0.5 feet
The net area of the paper needed is 4.125 square feet.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, The gift is 1.5 feet tall and one of the bases is 9 inches = 0.75 by 0.5 feet.
Therefore the total surface area is,
= 2(1.5×0.5 + 1.5×0.75 + 0.75×0.5).
= 2(0.75 + 1.125 + 0.375).
= 2(2.25).
= 4.5 square feet.
Now, She left one of the bases uncovered which have an area of 0.375 square feet.
Therefore, the net amount of paper needed is = 4.5 - 0.375.
= 4.125 square feet.
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y=3x-2y=2x-5how to solve this problem
y=3x-2
y=2x-5
we have a system of linear equations
step 1
solve by substitution
equate both equations
3x-2=2x-5
solve for x
3x-2x=-5+2
x=-3
Find teh value of y
y=3(-3)-2
y=-11
the solution is the point (-3,-11)
Note: if you substitute the value of x in the second equation, the value of y must be equal
Verify
y=2(-3)-5
y=-11 ----> is ok
therefore
the answer is x=-3 and y=-11 is the solution of the systemFind the sum 2 1/4+ 3 2/3
Answer: 5 11/12
Find the sum of 2 1/4 + 3 2/3
Step 1: Convert the mixed fraction into an improper fraction
\(\begin{gathered} 2\frac{1}{4}\text{ = }\frac{(2\text{ x 4) + 1}}{4} \\ =\text{ }\frac{8\text{ + 1}}{4} \\ \text{= }\frac{9}{4} \\ \text{3 }\frac{2}{3}\text{ = }\frac{(3\text{ x3) + 2}}{3} \\ =\text{ }\frac{9\text{ + 2}}{3} \\ =\text{ }\frac{11}{3} \\ \text{Adding the two fraactions together} \\ \frac{9}{4}\text{ }+\frac{11}{3} \\ \text{The common denominator is 12} \\ \frac{27\text{ + 44}}{12} \\ =\text{ }\frac{71}{12} \\ \text{= 5 }\frac{11}{12} \end{gathered}\)find the value of the cone
Step 1: Problem
Calculate the volume of the figure below
Step 2: Concept
\(\text{Volume of a cone = }\frac{1}{3}\text{ }\pi r^2h\)Step 3: Method
Given data
\(\begin{gathered} \text{Diameter = 5in} \\ \text{Radius r = }\frac{Diameter}{2}\text{ = }\frac{5}{2}\text{ = 2.5 in} \\ Heighth=8in^{}^{} \\ \pi\text{ = 3.14} \end{gathered}\)Next substitute the given data.
\(\begin{gathered} \text{Volume of a cone = }\frac{1}{3}\pi r^2h \\ =\text{ }\frac{1}{3}\text{ }\times\text{ 3.14 }\times2.5^2\text{ }\times\text{ 8} \\ =\text{ }\frac{\text{ 1 }\times\text{ 3.14 }\times\text{ 6,25 }\times\text{ 8}}{3} \\ =\text{ }\frac{157}{3} \\ =52.33in^3^{} \end{gathered}\)Step 4: Final answer
The volume = 52.33
The following table shows the bacteria population after a specific number of minutes,
Minutes. Bacteria Population,
B (0)
0
4
5
12
10
36
15
108
20
324
A Write an equation that represents the bacteria population after t minutes.
B(t)
Answer:
BP =(0) while B = bacteria
P= population
BP is = 545
please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
e If M P = Rs 420,SP. 405 then
find discount
Answer:
discount=MP-SP
=Rs420-Rs405
=Rs15
Step-by-step explanation:
Dina wants to earn money to save for a car so she decided to make beaded bracelets to sell at a local Farmer’s Market. She rented a table for $15 and set up her shop. Each bracelet that she makes cost approximately $1.75 for materials. She sells each bracelet for $6.00.
How much profit will she make from each bracelet, not including the table rental?
(A.) $1.75
(B.) $6.00
(C.) $4.25
(D.) $7.75
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
The class mark of the class 90-130 is:
(a) 90 (b) 105 (c) 115 (d) 110
Answer:
D) 110
Step-by-step explanation:
A lumber company is making boards that are 2920.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 12 is made, and it is found that they have a mean of 2922.7 millimeters with a variance of 121.00. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
Answer:
The value of the test statistic is of 0.22.
Step-by-step explanation:
Our test statistic is:
\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the expected mean, \(\sigma\) is the standard deviation(square root of the variance) and n is the size of the sample.
A lumber company is making boards that are 2920.0 millimeters tall.
This means that \(\mu = 2920\).
A sample of 12 is made, and it is found that they have a mean of 2922.7 millimeters with a variance of 121.00.
This means that \(X = 2922.7, n = 12, \sigma = \sqrt{121} = 11\). So
\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(t = \frac{2922.7 - 2922}{\frac{11}{\sqrt{12}}}\)
\(t = 0.22\)
The value of the test statistic is of 0.22.
Last year there were 750 students enrolled in Park School, but this year there are only 685 students enrolled. What is the percent of decrease? Round to the nearest tenth.
Answer:
91 (1/3)
Step-by-step explanation:
first do 750 / 100 becuase thats is 100%
the answer to 750 / 100 is 7.5 then take 7.5 what you do is 685 / 7.5 and you get the answer
Answer:
-8.6666666666667% decrease
Step-by-step explanation:
An accountant needs to withhold 15% of income for taxes if the income is below $40,000, and 23% of income if the income is $40,000 or more. The income amount is in cell A1. Write a spreadsheet expression that would calculate the amount to withhold.
Answer:
=if(A1<40000,.15*A1,if(A1
Step-by-step explanation:
>=4000,.23*A1))
HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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