Can someone help with these two questions on my Calc 3 hw? It is due tonight. Thank you!
Answers
Question #14:
Find the work done by the force field, [tex]\vec F(x,y,z)= < x-y^2, \ y-z^2, \ z-x^2 >[/tex],
on a particle that moves along the line segment from (0,0,1) to (3,1,0).
The parametrized form of a line is given as,
[tex]x=x_0+v_xt[/tex]
[tex]y=y_0+v_yt[/tex]
[tex]z=z_0+v_zt[/tex]
Where [tex](x_0,y_0,z_0)[/tex] is a point the line passes through and [tex]\vec v= < v_x,v_y,v_z >[/tex] is the direction of the line.
[tex]\Longrightarrow \vec v= < 3-0,1-0,0-1 > \Longrightarrow \boxed{ \vec v= < 3,1,-1 > }[/tex]
[tex]\Longrightarrow \boxed{(x_0,y_0,z_0)=(0,0,1)}[/tex]
[tex]z=-t+1, 0\leq t\leq 1[/tex]
This would imply that, [tex]dx=3dt,dy=dt,dz=-dt[/tex]
[tex]Work, W=\int\limits^a_b {\vec F(x,y,z) \cdot} < dx,dy,dz > \,dt[/tex]
[tex]\Longrightarrow \vec F(x,y,z)= < 3t-t^2, \ t-(-t+1)^2, \ -t+1-(3t)^2 >[/tex]
[tex]\Longrightarrow \boxed{\vec F(x,y,z)= < 3t-t^2, \ -t^2+3t-1, \ -9t^2-t+1 > }[/tex]
[tex]\Longrightarrow W=\int\limits^1_0 { [ < 3t-t^2, \ -t^2+3t-1, \ -9t^2-t+1 > \cdot} < 3,1,-1 > ] \,dt[/tex]
[tex]\Longrightarrow W=\int\limits^1_0 { [( 3t-t^2)(3)+(-t^2+3t-1)(1)+(-9t^2-t+1)(-1) ] \,dt[/tex]
[tex]\Longrightarrow W=\int\limits^1_0 { [ 9t-3t^2-t^2+3t-1+9t^2+t-1 ] \,dt[/tex]
[tex]\Longrightarrow W=\int\limits^1_0 { [5t^2+13t-2 ] \,dt[/tex]
Using the power rule to integrate: [tex]\frac{d}{dx}[x^n]=nx^{n-1}[/tex]
[tex]\Longrightarrow W=\frac{5}{3}t^3+\frac{13}{2}t^2-2t \left. \right|_{0}^1[/tex]
[tex]\Longrightarrow W=[\frac{5}{3}(1)^3+\frac{13}{2}(1)^2-2(1)]-[0][/tex]
[tex]\Longrightarrow W=\frac{5}{3}+\frac{13}{2}-2[/tex]
[tex]\Longrightarrow \boxed{ W=\frac{37}{6}} \therefore Sol.[/tex]
Question #15:
Given:
[tex]w_m=170 \ lb[/tex]
[tex]w_c=25 \ lb[/tex]
[tex]w_m+w_c=195 \ lbs[/tex]
[tex]r_s=25 \ ft[/tex]
[tex]h_s=90 \ ft[/tex]
[tex]1 \ rev. =2\pi \Rightarrow 3 \ rev. =\bold{6\pi}[/tex]
Find:
[tex]W= \ ?? \ ft-lbs[/tex]
Equation:
[tex]W=\int\ {\vec F \cdot } \, d\vec r \Longrightarrow W=\int\ {[\vec F(\vec r(t)) \cdot r'(t)}]dt[/tex]
[tex]\vec F(x,y,z)= < 0,0,195 > \ and \ r(t)= < 25cos(t),25sin(t),\frac{90}{6\pi}t >[/tex]
[tex]r'(t)= < -25sin(t),25cos(t),\frac{15}{\pi} >[/tex]
[tex]\Longrightarrow W=\int\ {[\vec F(\vec r(t)) \cdot r'(t)}]dt[/tex]
[tex]\Longrightarrow W=\int\ {[ < 0,0,195 > \cdot < -25sin(t),25cos(t),\frac{15}{\pi} > ]dt[/tex]
[tex]\Longrightarrow W=\int\ {[ (195)(\frac{15}{\pi}) ]dt[/tex]
[tex]\Longrightarrow W=\int\ {\frac{2925}{\pi} dt[/tex]
Limits: [tex]0\leq t\leq 6\pi[/tex]
[tex]\Longrightarrow W=\int\limits^{6\pi}_0 {\frac{2925}{\pi} } \, dt[/tex]
[tex]\Longrightarrow W= {\frac{2925}{\pi}t \left. \right|_{0}^{6\pi}[/tex]
[tex]\Longrightarrow W= [{\frac{2925}{\pi}(6\pi)]-[0][/tex]
[tex]\Longrightarrow \boxed{W= 17,550 \ ft-lbs} \therefore Sol.[/tex]
Let me know if these were correct! As I strive to give the most accurate answers! Thank you.
Related Questions
If AxB = { (-1, 0), (1,0), (1,3), (2,4), (3,5) }, then find A.
Answers
Answer:
{-1, 1, 2, 3}
Step-by-step explanation:
To find A, we need to determine the set of all possible values of the first component of the ordered pairs in AxB.
Looking at the ordered pairs in AxB, we see that the possible values of the first component are -1, 1, 2, and 3. These correspond to the first components of the pairs (-1, 0), (1, 0), (2, 4), and (3, 5), respectively.
Therefore, A = {-1, 1, 2, 3}.
Therefore, A is the set of all first coordinates of the ordered pairs in AxB.
From AxB, we have:
AxB = { (-1, 0), (1,0), (1,3), (2,4), (3,5) }
The first coordinates of the ordered pairs in AxB are:
-1, 1, 1, 2, 3
Therefore, A is:
A = {-1, 1, 2, 3}
Hence, the set A is {-1, 1, 2, 3}.
Without using a calculator, match each expression to the correct point.
f
de
←++ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
-5
-3
Point Expression
3
2
d
e
-4
f
-√8
-π
-2
-1
+
0
Answers
Answer:
d ↔ - π
e ↔ - √8
f ↔ - 3/2
Step-by-step explanation:
Point d is to the left of -3
All points to the left of - 3 will be smaller than -3
Smaller than -3 means the absolute value will be greater than 3 but prefixed with a negative sign
Thus - 3.5 < - 3
-4 < -3
-99 < -3
etc
π = 3.14 approx
- π = - 3.14
- 3.14 < -3 and so it is to the left of -3. The only point to the left of -3 is point d
Similarly points to the right of -3 will have absolute values > 3 but prefixed by a negative sign
So -2.5, -2, -1, -0.5 etc are all greater than -3
√8 = √(4 · 2) = √4 · √2 = 2√2
√2 ≈ 1.414
so 2√2 ≈ 2.818
-√8 = - 2.818
so it is to the right of -3 but very close to -3
That would be point e
That leaves -3/2
-3/2 = - 1 1/2 and therefore lies halfway between -2 and - 1
That would be point f
Which choice below DOES NOT name of one of the four quadrants of the coordinate plane?
Quadrant Ⅲ
Quadrant Ⅱ
Quadrant Ⅴ
Quadrant Ⅰ
Answers
Answer:
Quadrant V
Step-by-step explanation:
A co-ordinate graph only has 4 quadrants!
Chad will have new carpet put on the rectangular floors of two rooms in his house. One
floor is 12 feet long, and the other floor is 15 feet long. Each floor has a width of 10
feet.
What is the total area in square feet of the new carpet?
Answers
Answer: 270 ft²
Step-by-step explanation:
The dimensions of 1 room is 10 ft x 12 ft
The other room is 10 ft x 15 ft
For area multiply the length and width and add the 2 areas
so A1 = 10x12=120 ft²
A2 = 10x15 =150 ft²
Total area is 150+120 =270 ft²
19°
Solve for c.
142°
C
42
c = [?
C
Round your final answer
to the nearest tenth.
Answers
[tex]\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{c}{\sin(142^o)}=\cfrac{42}{\sin(19^o)}\implies c=\cfrac{42\sin(142^o)}{\sin(19^o)}\implies c\approx 79.4[/tex]
Make sure your calculator is in Degree mode.
Solve the system of equations by graphing.
U=V
8u = 2v-36
Use the graphing tool to graph the system.
Click to
enlarge
graph
...
16
B
16
8
12
20
Answers
The solution to the given simultaneous equations are:
(-6, -6)
How to solve simultaneous equations?There are different ways to solve simultaneous equations such as:
- Elimination Method
- Substitution Method
- Graphical Method
Now, we are given two simultaneous equations to solve graphically and the equations are:
U = V
8U = 2V - 36
Now, the graph that solves these simultaneous equations is as shown in the attached file.
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The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014. Set up a system and then
solve using technology. HINT [See the technology note accompanying Example 1.]
Airline
United
Continental
14.9
American JetBlue Southwest
Cost (c)
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 160 empty seats, costing them a
total of $68,250. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its
flight?
United Continental
American
Southwest
14.6
empty seats
empty seats
empty seats
11.9
12.4
Answers
The Empty seats according to the equation will be:
United Continental = 90
American airlines = 30
Southwest airlines = 40
How to explain the equationLet the seats in American airlines = x
so according to give condition The United continental airlines have 3x seats. and the seats in Southwest airlines = y and Combined empty seat in American, United continental and Southwest airlines = 160
4x + y = 160
59.3x + 12.4y = 2275
After solving, x = 30 and y = 40
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Trigonometry
Ineach of the questions below, calculate other the missing angle or side stated. Give
your answer correct to 1 decimal place
1)
3)
13cm
39m
38
4cm
10m
14m
6)
140m
9)
5cm
2)
4)
23m
75m
10cm
35"
7)
16m
10)
d
6cm
66°
135m86
15m
Answers
Answer: Ans(1)
In right triangle
a = 13cos(56°)
a = 7.3 cm
Ans(2)
In right triangle
b = 6/sin(35°)
I need help with this problem if do thank you a lot
Answers
I REALLY NEED SOME HELP PLSSS
Answers
The vocabulary term for segment a is an apothem.
The area of this polygon is 41.6 yd².
How to calculate the area of a regular polygon?In Mathematics and Geometry, the area of a regular polygon can be calculated by using this formula:
Area of regular polygon = (n × s × a)/2
Where:
n represents the number of sides.s represents the side length.a represents the apothem.By substituting the given parameters into the formula for the area of a regular polygon, we have the following:
Area of regular polygon = (6 × 4 × 2√3)/2
Area of regular polygon = (24 × 2√3)/2
Area of regular polygon = 83.1/2
Area of regular polygon = 41.6 yd².
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3 In a competitive exam consisting of 100 questions, each correct answer gets
2 marks and each wrong answer gets -1 mark. If a student has written 70 correct
answers and 30 wrong answers, what is his/her score?
Answers
The students score for the competitive exam is 110
How to calculate the students scoreTo find the score of the student, we can use the given information.
For correct answers
Number of correct answers = 70
Marks for correct answers
= Number of correct answers * Marks per correct answer
= 70 * 2
= 140
For wrong answers:
Number of wrong answers = 30
Marks for wrong answers
= Number of wrong answers * Marks per wrong answer
= 30 * -1
= -30
The total score
= Marks for correct answers + Marks for wrong answers
= 140 + (-30)
= 110
Hence the student's score is 110.
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What is the perimeter of kite WXYZ?
W(-3,3)
-5-4-3-2-1
Z(-3,-2)
5
4
لیا
2
1
-2
-5
y
X(2,3)
1 2 3 4 5 X
Y(4-4)
Answers
Answer:
Step-by-step explanation:
yes
7. Choose Efficient Methods A circular patio has a circumference of 53.38 feet. What is the area of the patio? Use 3.14 for an approximation for T. Round to the nearest tenth.
Answers
Hence, the area of the patio is approximately 226.98 square feet, rounded to the nearest tenth.
What is the circumference?In geometry, the circumference is the perimeter of a ellipse or circle . That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
What is the area?Area is the measure of a region size on a surface. The area of a plane area or plane region refers to the area of a planar lamina or shape , while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
To determine the area of a circular patio, we need to know its radius , by using the formula:
Circumference = 2 *[tex]\pi[/tex]* radius
where [tex]\pi[/tex] is approximately 3.14.
radius = [tex]\frac{Circumference}{2 * \pi}[/tex]
according to question,
radius = [tex]\frac{53.38}{2 * 3.14}[/tex] ≈ 8.5 feet
Now , we know that the area of a circle:
Area = [tex]\pi * radius^{2}[/tex]
Substituting the value of the radius
Area = 3.14 *[tex](8.5 feet)^{2}[/tex] ≈ 226.98 square feet
Therefore, the area of the patio is approximately 226.98 square feet, rounded to the nearest tenth.
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Work out 10% of 480kg
Answers
Answer:
it's 48
Step-by-step explanation:
you must do 480×10÷100
Given the polynomial, identify the coefficients and degree of each term:
First term: degree=
coefficient =
Second term: degree=
coefficient =
Third term: degree=
coefficient =
Fourth term: degree=
coefficient =
Fifth term: degree=
coefficient =
What is the leading coefficient?
What is the degree of the leading term?
What is the degree of the polynomial?
Answers
First term: degree= 3 coefficient = -2
Second term: degree= 2 coefficient = -5
Third term: degree= 4 coefficient = -5
Fourth term: degree= 1 coefficient = -1
Fifth term: degree= 0 coefficient = 1
The leading coefficient is -5.
The degree of the leading term is 4.
The degree of the polynomial is 4.
A polynomial is an expression comprising components and coefficients, which are combined utilizing number juggling operations like extension, subtraction, and increment, but not division.
The degree of a term in a polynomial is the illustration of its variable. The coefficient of a term is the numerical figure that increments the variable.
For the case, inside the polynomial, [tex]2x^5 - 3x^3 + x - 4 - 2x^-2,[/tex] the degree of the essential term[tex](2x^5)[/tex] is 5, and its coefficient is 2. So moreover, the degree of the third term (x) is 1, and its coefficient is 1.
The degree of the fourth term (-4) is 0, and its coefficient is -4. The degree of the fifth term [tex](2x^-2)[/tex] is -2, and its coefficient is 2.
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The full question is
Given the polynomial,
-2x³- 5x²-[tex]5x4[/tex]+1-x
identify the coefficients and degree of each term:
First term: degree=
coefficient =
Second term: degree=
coefficient =
Third term: degree=
coefficient =
Fourth term: degree=
coefficient =
Fifth term: degree=
coefficient =
What is the leading coefficient?
What is the degree of the leading term?
What is the degree of the polynomial?
Y varies directly with the square of x and y is 16 when x is 8.
Please help!
Answers
Answer:
If y varies directly with the square of x, we can express this relationship using the equation:
y = kx^2
where k is the constant of proportionality. To find the value of k, we can use the given information that y is 16 when x is 8:
16 = k * 8^2
Simplifying the equation, we get:
16 = 64k
Dividing both sides by 64, we get:
k = 16/64 = 1/4
So the equation that relates y and x is:
y = (1/4)x^2
We can use this equation to find the value of y for any given value of x. For example, if x is 10, we have:
y = (1/4) * 10^2 = 25
Therefore, when x is 10, y is 25.
Solve the following equation
3x²+x-12
= 1
b
Od
x=-12 x=11
x=4 x=-3
x=12 x=-1
x=3 x=-4
Answers
The solutions to the quadratic equation 3x² + x - 12 = 1 are given as follows:
[tex]x = \frac{-1 \pm \sqrt{157}}{12}[/tex]
How to solve the quadratic function?The quadratic function in the context of this problem is defined as follows:
3x² + x - 12 = 1
Placing it into standard format ax² + bx + c = 0, we have that the equation is given as follows:
3x² + x - 13 = 0.
The coefficients are given as follows:
a = 3, b = 1, c = -13.
The discriminant is:
D = b² - 4ac
D = 1² - 4 x 3 x -13
D = 157.
Then the solutions are given as follows:
[tex]x = \frac{-1 \pm \sqrt{157}}{12}[/tex]
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Which of the following would you expect not to have a normal distribution?
The delay, measured in minutes, of flights from La Guardia airport.
The weights of eighth grade children in NYC schools
Scores on the NY state English Regents test.
The actual weight of rice in a bag labeled as a 20 pound bag
Answers
The actual weight of rice in a bag labeled as a 20 pound bag is expected not to have a normal distribution.
What is normal distribution ?
A normal distribution is a common probability distribution that is bell-shaped and symmetrical around its mean value. In a normal distribution, the mean, median, and mode are all equal, and the distribution is defined by two parameters: its mean and standard deviation.
The actual weight of rice in a bag labeled as a 20 pound bag is expected not to have a normal distribution. This is because the weight of rice in a bag labeled as 20 pounds may vary due to differences in packing and other factors, and is not necessarily a normally distributed variable. The delay of flights, weights of children, and test scores are all examples of variables that may have a normal distribution under certain conditions.
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Find the missing side. Round to the nearest tenth
Answers
The missing side of the triangle given the angle as 71° and hypotenuse as 17 to the nearest tenth is 16.1.
The correct answer choice is option C
What is the missing side of the triangle?Hypotenuse= 17
Opposite = x
Angle = 71°
Sin 71° = opposite / hypotenuse
sin 71° = x / 17
0.95105 = x / 17
cross product
0.95105 × 17 = x
x = 16.1 to the nearest tenth
In conclusion, the missing side of the triangle to the nearest tenth is 16.1
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Here is a regular pentagon.
Calculate the size of the interior angle marked c.
C
Co
Answers
Answer:
c = 108°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × (5 - 2) = 180° × 3 = 540°
since the pentagon is regular then the 5 interior angles are congruent, so
c = 540° ÷ 5 = 108°
Sketch an angle of 250 in standard position and then identify and draw its reference angle
Answers
Check the picture below.
what is the measure of an angle if it is 130 less than three times its own complement
Answers
The measure of the angle is 35 degrees.
What are complementary angles?Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary.
Let's assume that x is the measure of the angle in question.
The complement of x is the angle that, when added to x, forms a right angle (90 degrees). Therefore, the complement of x can be represented as 90 - x.
According to the problem, the measure of the angle is 130 less than three times its own complement. We can write this information as an equation:
x = 3(90 - x) - 130
Simplifying and solving for x, we get:
x = 270 - 3x - 130
4x = 140
x = 35
Therefore, the measure of the angle is 35 degrees.
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4
Pylhagorean thearem
finding C
a: 2.15
a²+ b² = c²
2.15 + 5.61=C²
Answers
Applying the Pythagorean theorem, the value of c is 6.0.
What is a Pythagorean theorem?A Pythagorean theorem is a principle that can be used to determine the unknown side of a given right triangle when the values of its other two sides are given. Pythagorean theorem states:
[tex]Hyp^{2}[/tex] = [tex]Adj^{2} + Opp^{2}[/tex]
So that from the given question, applying the Pythagorean theorem;
[tex]c^{2}[/tex] = [tex]a^{2} + b^{2}[/tex] - 2abCos θ
But, a = 2.15 and b = 5.61
So that;
[tex]c^{2}[/tex] = [tex]2.15^{2}[/tex] + [tex]5.16^{2}[/tex]
= 4.6225 + 31.472
[tex]c^{2}[/tex] = 36.0946
c = [tex]\sqrt{36.0946}[/tex]
= 6.0079
c = 6.0
The value of c is 6.0.
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find the size of angle x
Answers
Solve for x, x=25.463345…, but we round to the nearest tenth. x=25.5
The total weight of a shipping crate is modeled by
the function c = 24b +30, where c is the total
weight of the crate with b boxes packed inside
the crate. If each crate holds a maximum of 6
boxes, then what are the domain and range of
the function for this situation?
Answers
The domain is 0 ≤ b ≤ 6 and the range is c ≥ 30.In this situation, the function that models the total weight of a shipping crate is given as c = 24b + 30, where c represents the total weight of the crate and b represents the number of boxes packed inside.
To determine the domain and range of this function, we need to consider the constraints of the problem. It is mentioned that each crate holds a maximum of 6 boxes.
Domain: The domain refers to the set of input values that the function can accept. In this case, the number of boxes (b) cannot exceed 6 since that is the maximum capacity of each crate. Therefore, the domain of the function is 0 ≤ b ≤ 6, where b is a non-negative integer.
Range: The range represents the set of possible output values of the function. The total weight of the crate (c) is determined by the number of boxes packed inside. Since the weight of the crate increases linearly with the number of boxes, there is no upper limit to the range. The range of the function is c ≥ 30, where c is a non-negative integer representing the weight of the crate.
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3/4 mutiplyed by 16/9
Answers
To multiply 3/4 by 16/9, you can multiply the numerators (top numbers) together to get the new numerator, and multiply the denominators (bottom numbers) together to get the new denominator. Then, simplify the resulting fraction if possible.
So,
(3/4) x (16/9) = (3 x 16) / (4 x 9)
= 48/36
= 4/3
Therefore, 3/4 multiplied by 16/9 is equal to 4/3.
Assuming that x \neq -5, simplify (2x + 10)^4*(x + 5)^3.
Answers
Equation (2x + 10)⁴*(x + 5)³ simplifies to 16(x + 5)⁷.
We can simplify this expression by factoring out the common factor of (2x + 10) from the first term and (x + 5) from the second term:
(2x + 10)⁴ × (x + 5)³ = (2(x + 5))⁴ × (x + 5)³
We can simplify the first term by expanding the fourth power:
(2(x + 5))⁴ = 16(x + 5)⁴
Now we have:
(2x + 10)⁴*(x + 5)³ = 16(x + 5)⁴ * (x + 5)^3
We can simplify this expression further by adding the exponents of the common factor (x + 5):
16(x + 5)⁴ * (x + 5)³ = 16(x + 5)⁴⁺³ = 16(x + 5)⁷
Therefore, (2x + 10)⁴*(x + 5)³ simplifies to 16(x + 5)⁷.
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Given question is incomplete, the complete question is below
Assuming that x ≠ -5, simplify (2x + 10)⁴×(x + 5)³.
ke 6. Assessment Practice For which addition equations can you make a 10 to add? Choose two that apply. 24 + 14 = ___ ? 17 + 25 = ? 16+13= ? 26 + 14 = ? 1.
Answers
The sums are 48, 52, 39, and 50
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: The addition of three numbers
When adding, always line up the addends, the two numbers being combined, one on top of each other according to their place values. Add the numbers in the ones column first, then the tens column, and finally the hundreds column, to get the sum, or the total.
1) [tex]24+14+10=\bold{48}[/tex]
2) [tex]17+25+10=\bold{52}[/tex]
3) [tex]16+13+10=\bold{39}[/tex]
4) [tex]26+14+10=\bold{50}[/tex]
Thus the sums of the respective equations gives 48, 52, 39, and 50 respectively
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Find the volume for figure one
HELP I HAVE BEEEN STUCK IN THIS
Answers
Answer: 27
Step-by-step explanation:
V=lwh
V=(3)(3)(3)
=27
Answer:
27 units
Step-by-step explanation:
If we say the cube is broken up into smaller cubes, volume is the number of tiny cubes total.
An easier way to do this is to remember that the volume equation is V=L*w*h= length*width*height, where the width is 3 cube units, the height is 3 cube units, and the length is 3 cube units. So:
V=3*3*3= 27
If this does not make sense, here is another way to think about volume.
First, lets determine what the area of one surface of the cube is. Area is length times width, so the answer is 9. We can also count the number of cubes, if that is easier.
So we found the area of one face. Now we need to know how many of these square areas makes up the cube. That is, how many 3 by squares will make the cube? From the diagram, we see that there are three cube units across, and if each face area has a width of one cube, then we multiply.
3*9= 27
If a bookstores profit function is p = 27n-250, where n represents the number of *
books sold. What is their profit if they sold 100 books.
O$2,400
O $2,450
O $2,500
O $2,550
Answers
Answer:
Answer: (B) $2,450.
Step-by-step explanation:
To find the profit if the store sold 100 books, we can simply substitute n = 100 into the profit function:
p = 27n - 250
p = 27(100) - 250
p = 2,450
Therefore, the profit if the store sold 100 books is $2,450. Answer: (B) $2,450.
