Answers
Answer:
the sum is 240 each is 120
Step-by-step explanation:
Answer:
i think its 240.
Step-by-step explanation:
Related Questions
a rancher has 800 feet of fencing to enclose two adjacent rectangular corrals (see figure below). what dimensions will produce a maximum enclosed area?
Answers
The two adjacent rectangular corrals have dimensions of 50ft by 400/3 ft that will produce a maximum enclosed area.
The term "area" typically refers to the measure of the size or extent of a two-dimensional shape or region. It represents the amount of space enclosed within the boundaries of the shape.
The objective is to maximize the enclosed area of two adjacent rectangular corrals given 800 feet of fencing.
Based on the given problem, we have to consider the adjacent rectangular corral, which means it has a shared fence. Let's assume the shared side of the two adjacent rectangular corrals is 'x'.
Therefore, the total length of the fencing that is used for two adjacent rectangular corrals will be equal to;
2L + 3x = 800ft
Here, L is the length of each rectangular corral.
The enclosed area is given by A = L*W
Where;W = (800 - 2L - 3x) / 2 = 400 - L - (3/2)x
From the equation above, the value of W is a function of L and x.
Then we can use differentiation to find the maximum value of A.
So,Let's differentiate A with respect to L and equate it to 0 to find the value of L that maximizes the enclosed area.
We have; dA/dL = d/dL (L*(400 - L - (3/2)x))
= 400 - 2L - (3/2)x
= 0
On simplification, we have;
2L = 400 - (3/2)xL
= 200 - (3/4)x
Then, we substitute the value of L into the equation for W to get;
W = 400 - 200 + (3/4)x - (3/2)x
= 200 - (3/4)x
Thus, the maximum enclosed area is given by;
A = L*W = (200 - (3/4)x)*(200 - (3/4)x)
= 40000 - 300x + (9/16)x^2
Therefore, we need to differentiate A with respect to x and equate to zero to find the value of x that maximizes the enclosed area.
dA/dx = -300 + (9/8)x = 0
Solving for x, we have;
x = 800/3
Thus, the shared side of the two adjacent rectangular corrals should be 800/3 feet, and the dimensions that will produce a maximum enclosed area are;
L = 200 - (3/4)x = 200 - (3/4)(800/3) = 50ftW = 200 - (3/4)x = 200 - (3/4)(800/3) = 50ft
Therefore, the two adjacent rectangular corrals have dimensions of 50ft by 400/3 ft that will produce a maximum enclosed area.
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Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) = and find the equation of the tangent line to f(x) at a nice" point near 0.202. Then use this to 1/0.202 approximate 1/0.202
Answers
ANSWER
\(\begin{equation*} 4.95 \end{equation*}\)EXPLANATION
Given;
\(f\mleft(x\mright)=\frac{1}{x}\)Now, evaluate its first derivative;
\(f^{\prime}(x)=-\frac{1}{x^2}\)Now;
\(\begin{gathered} x=0.2=\frac{1}{5} \\ f(x)=5,f^{\prime}(x)=-25 \end{gathered}\)Hence, we have;
\(l(x)=5-25(x-0.2)=5-25x+5\)by substitution;
\(\begin{gathered} \frac{1}{0.202}=5.25(0.202-0.2) \\ =5-0.05 \\ \cong4.95 \end{gathered}\)fido's leash is tied to a stake at the center of his yard, which is in the shape of a regular hexagon. his leash is exactly long enough to reach the midpoint of each side of his yard. if the fraction of the area of fido's yard that he is able to reach while on his leash is expressed in simplest radical form as $\frac{\sqrt{a}}{b}\pi$, what is the value of the product $ab$?fido's leash is tied to a stake at the center of his yard, which is in the shape of a regular hexagon. his leash is exactly long enough to reach the midpoint of each side of his yard. if the fraction of the area of fido's yard that he is able to reach while on his leash is expressed in simplest radical form as $\frac{\sqrt{a}}{b}\pi$, what is the value of the product $ab$?
Answers
Product ab has a value of 18 and is shaped like a regular hexagon.
What is area?The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The area is the region defined by an object's form. The area of a form is the space covered by a figure or any two-dimensional geometric shape in a plane.
Here,
Let the side of the hexagon be 2.
so the radius of the circle is sqrt(3),
area of hexagon=sqrt(3) * 2 * 3
= 6 sqrt(3)
area of circle is pi (sqrt(3))^2 = 3 pi
3 pi / 6 sqrt(3) = sqrt(3)/ 6
3 * 6 = 18
The value of product ab is 18 which is in the shape of a regular hexagon.
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Find the average value of the function f(x) = x² - 11 on [0,6]
Answers
The average value of the function f(x) = x² - 11 on the interval [0, 6] is -1/3.
The average value of a function on an interval is a useful concept in many areas of mathematics and applied fields. It represents the "center of mass" or "balance point" of the function over the interval, and has applications in physics, engineering, economics, and more. fmin ≤ avg(f) ≤ fmax
This property can be used to prove useful inequalities and approximations in various fields. The formula for the average value of a function on an interval [a,b] is: avg(f) = 1/(b-a) * ∫[a,b] f(x) dx.
Using this formula, we can find the average value of f(x) = x² - 11 on [0,6] as: avg(f) = 1/(6-0) * ∫[0,6] (x² - 11) dx
= 1/6 * [x³/3 - 11x]_0^6
= 1/6 * [(216/3) - (66)]
= -1/3
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HURRY PLEASEEEEE!!!!!!
Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.
Answers
Answer:
24+p=t
Step-by-step explanation:
If he scored 24 points in the first half, and p in the next half, he scored a total of t points.
Does anyone know this
Answers
Answer:
AB-DE
Step-by-step explanation:
hi I m from India nice to meet you bro
Carson is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Carson will earn $20 every time one of his songs is played in a commercial and he will earn $120 every time one of his songs is played in a movie. Carson's songs were played on 5 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $380. Determine the number of commercials and the number of movies on which Carson's songs were played.
Answers
Answer:
\(M=\frac{280}{140} =2\)
\(C=2+5=7\)
(2 Movies and 7 Commercials)
Step-by-step explanation:
Let's represent every time Carson's songs are played in a commercial as C and in movies as M.
Set up the following equations:
\(20C+120M=380\) (1)
\(C=M+5\) (2)
Substitute equation 2 for equation 1:
\(20(M+5)+120M=380\)
Distribute:
\(20M+100+120M=380\)
Simplify:
\(140M=280\)
Divide both sides by 140:
\(M=\frac{280}{140} =2\)
Substitute 2 as M back into either original equation, I will use (2):
\(C=2+5=7\)
Answer:
Step-by-step explanation:
a researcher is conducting a survey for which she currently has a 93% confidence level. what would be two actions that she could take that would be most likely to increase the confidence level in her survey results
Answers
The correct answer is B. Increase the sample size and modify the design of the survey to decrease the standard deviation.
What is confidence level?The confidence level in statistics denotes the likelihood that the estimation of the position of such a statistical parameter (e.g., an arithmetic mean) in a survey study is also true for such population.
Some characteristics of confidence level are-
When executing a survey, levels of confidence should be defined ahead of time because they determine the error margin as well as the required scope of the survey. Confidence ratings of 90/95/99% are regularly employed in surveys.If a confidence level is set at 95%, a derived statistical value based on a sample will likewise be true for the entire population within the set confidence level - with a 95% chance. In other words, the chances of the arithmetic mean (like a statistical number) of a population being exactly inside the margins of error calculated for the survey using a sample are very high.To know more about the confidence level, here
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The complete question is-
A researcher is conducting a survey for which she currently has 93% confidence level. What would be two actions that she could take that would be most likely to increase the confidence level in her survey result?
A. Increase the sample size and modify the design of the survey to increase the standard deviation.
B. Increase the sample size and modify the design of the survey to decrease the standard deviation.
C. Decrease the sample size and increase the randomness of the survey sample.
D. Modify the design of the survey to increase the standard deviation and decrease the randomness of the survey sample
Find the values of a and b such that x^2-2x+2=(x-a)^2+b
Answers
Answer:
a = 1, b = 1
Step-by-step explanation:
Expand the right side and compare the coefficients of like terms on both sides, that is
right side
(x - a)² + b ← expand factor using FOIL
= x² - 2ax + a² + b
Compare to left side x² - 2x + 2
Compare the coefficients of the x- term
- 2a = - 2 ( divide both sides by - 2 )
a = 1
Compare the constant terms
a² + b = 2 ( substitute a = 1 )
1² + b = 2
1 + b = 2 ( subtract 1 from both sides )
b = 1
Thus a = 1, b = 1
For what values of p does the series infinity n = 2 1/np * In(n) converge?
Answers
We can use the integral test to determine the convergence of the series:
∫₂^∞ 1/(x^p ln(x)) dx
We integrate this using u-substitution with u = ln(x):
∫ln(2)^∞ 1/(u^p) du
This integral converges if and only if p > 1, so the given series converges if and only if p > 1.
Therefore, the series converges for all values of p > 1.
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Mrs. Virtueson has 1/4 of a pecan pie. She wants to give half
of it to Ace and half to Grandpa Virtueson. What fractional part
of a pie will each one get?
Answers
Answer:
What fractional part of a pie will each get
each will get 1/8
The total cost f(x), in dollars, for renting a vacation house for x days is shown:
f(x) = 10 + 250x
What does f(10) represent?
The number of dollars it costs for 10 people to rent the house
The number of houses that can be rented for 10 days
The number of days the house can be rented for a cost of $250
The number of dollars it costs to rent the house for 10 days
Answers
Answer:
260 of dollars it costs to rent the house for 10 days
The number of dollars it costs to rent the house for 10 days
Step-by-step explanation:
F(x) = 10 + 25x
F(10) = 10 + 25*(10)
F(10) = 10 + 250
F(10) = 260 of dollars it costs to rent the house for 10 days
Here f (10) represent 260 of dollars it costs to rent the house for 10 days
Given that,
The equation is f(x) = 10 + 250x.
Based on the above information, the calculation is as follows:
F(x) = 10 + 25x
= 10 + 25(10)
= 10 + 250
= 260 of dollars it costs to rent the house for 10 days
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or watch a video tu has a midpoint at m(3, 8). point u is at (4, 10). find the coordinates of point t.
Answers
Answer: (2, 6)
Step-by-step explanation:
We know that \(\overrightarrow{UM}=\overrightarrow{MT}\). From the given coordinates, \(\overrightarrow{UM}=(-1, -2)\). Therefore, the coordinates of \(T\) are \((3,8)+(-1,-2)=(2,6)\).
Find the cost of 2.5 yards of fabric if the fabric costs $8.00 per yard.
$3.20
$20.00
$32.00
$2.00
Answers
Answer:
20
Step-by-step explanation:
Explanation - 1 yard = $8
8 time 2.5( the amount of yards) equals $20
You can also say 8 times 2 is 16 and half of 8 is 4 so as that to 16 and you get $20
Type the missing digit in this number
7,587_64 is divisible by 8.
Answers
Answer:
The numbers can be 2,4,6,8,0
Step-by-step explanation:
Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.
Hoped this helped.
How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid? x= Quarts
Answers
The number of quarts of a 50% solution of acid that must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid is 14 quarts approximately.
How to calculate the number of quarts requiredLet q be the number of quarts of a 50% solution of acid that must be added to obtain the desired mixture.
Amount of acid in the 20% solution is 20 x 0.20 = 4 quart
Amount of acid in the 50% solution is q x 0.50 = 0.5q quarts.
The total amount of acid in the final mixture is (20 + q) x 0.40 = 8 + 0.4q quarts.
Note: Final mixture is a 40% solution of acid
(8 + 0.4q) / (20 + q) = 0.40
Multiply both sides by (20 + q), we get:
8 + 0.4q = 0.40(20 + q)
8 + 0.4q = 8 + 0.40q
Subtract 0.4q from both sides, we have
0.6x = 8
Divide both sides by 0.6
q = 13.33
Thus, the number of quarts of a 50% solution of acid that must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid is 14 quarts approximately.
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What is the easiest way to solve system of equations?
Answers
The easiest way to solve a system of equations is by using the substitution method.
The substitution method requires you to solve for one variable in one of the equations, substitute the answer into the other equation, and then solve for the remaining variable.
The easiest way to solve a system of equations is to use the substitution method. This method works by substituting one equation into the other to solve for one of the variables. Once the variable is found, it is then substituted back into the other equation to solve for the other variable. For example, if you have two equations: 3x + 2y = 5 and 4x - 2y = 6, you would solve the first equation for y and substitute the answer (y = (5 - 3x)/2) into the second equation. Then, you would solve the second equation for x (x = (6 + 2y)/4). Once you have the values for x and y, you can substitute them into either equation to check your answer.
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I need help simplifying this equation
Answers
5x^2 -8xy+15y^2
Answer:
5x²- 8xy + y²
Step-by-step explanation:
combine same terms
(x² +4x²) + (-3xy - 5xy) + (-7y² + 8y²)
=5x² - 8xy + y²
Find an angle between 0° and 360° that is coterminal to -595°. The angle is coterminal to -595°. X 5
Answers
The angle coterminal to -595° is 125°.Coterminal angles have the same initial and terminal sides.To find a coterminal angle, we add or subtract multiples of 360°.
To find a coterminal angle, we can add or subtract multiples of 360° to the given angle. By doing so, we end up with an angle that shares the same position on the coordinate plane but is expressed within a specific range, usually between 0° and 360°.
To find an angle that is coterminal to -595°, we need to add or subtract multiples of 360° until we obtain an angle between 0° and 360°.
Starting with -595°, we can add 360° to it:
-595° + 360° = -235°
However, -235° is still not within the desired range. We need to add another 360°:
-235° + 360° = 125°
Now we have an angle, 125°, that is coterminal to -595° and falls between 0° and 360°.
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The length of each side of an equilateral triangle is 4 cm longer than the length of each side of a square. If the perimeter of these two shapes is the same, find the area of the square.
Answers
The area of the square is 144 \(cm^{2}\).
Let x be the side of the square. Then the length of the triangle is (x+4). Perimeter is the length of all sides of a geometric figure combined. For an equilateral triangle, it's equal to thrice the length of one side. For a square, it's four times the length of one side. The Perimeter of the Triangle is 3(x+4) & the Perimeter of the square is 4x.
We know, both these perimeters are equal. Hence,
4x = 3(x+4)
To further simplify the above equation.
4x = 3x + 12
x = 12
Hence, the length of one side of the square is 12 cm. The area of the square can be calculated as follows:
Area = \((side)^{2}\)
Area = 12 * 12
Area = 144 \(cm^{2}\)
Hence, the Area of the Square is 144 \(cm^{2}\)
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Rupa practices the Indian craft of mehndi. She buys henna powder to make a dye that
Answers
The correct statement regarding the unit rate in this problem is given as follows:
Point (1,2) shows that the unit rate is of $2 per ounce.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The point of the graph is given as follows:
(1,2) -> x = 1, y = 2.
Hence the unit rate is given as follows:
k = y/x = 2/1 = 2.
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Simplify:
2341 base 5- 3124 base 5 + 2142 base 5
Answers
Answer:
o sry I don't no iamm really sry for that
HEEEEEELLLLPPPPPP IVE FALLEN AND I CANT GET UP HELP ME WITH THIS PROBLEM !! ASAP AND GET BRAINLIEST
Answers
PLS PLS HELP
a trapezoidal prism has a volume of 1260 cm^3. the height of the prism is 18 cm while the bases of the trapezoid are 12 cm and 8cm. Sketch the prism and find the height of the trapezoidal base
Answers
Answer:
7 cmStep-by-step explanation:
Volume of the prism is the product of its base area and height
V = AHV = 1260 cm³H = 18 cmFind base area:
A = 1260/18 = 70 cm²Area of the trapezoid:
A = 1/2(b₁ + b₂)hSubstitute given values and solve for h:
70 = 1/2(12 + 8)h70 = 10hh = 70/10h = 7 cmFind area of base
Volume/Height1260/1870cm²Now
Height of trapezoid base be x
1/2(12+8)x=7020x=140x=7cmFind intervals of concavity for f(x) = 3 cos x, with 0 < x < 21. Show your work for full credit.
Answers
The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).
To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.
First, let's find the second derivative of f(x):
f'(x) = -3 sin x (derivative of cos x)
f''(x) = -3 cos x (derivative of -3 sin x)
Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:
When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.
When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
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PLEASE HELP THIS IS DUE TODAY EXPLAIN IF YOU CAN OR EXPLAIN IF YOU WANT.
Answers
Answer:
2.1.25
Step-by-step explanation:
2: 1.25
3:125.0
Answer:
1.25x102 is 125 the next one is 1250 next one is 125000
Step-by-step explanation:
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CAN SOMEONE PLS HELP MEE
Two triangles are graphed in the xy-coordinate plane.
Which sequence of transformations will carry △QRS
onto △Q′R′S′?
A. a translation left 3 units and down 6 units
B. a translation left 3 units and up 6 units
C. a translation right 3 units and down 6 units
D. a translation right 3 units and up 6 units
Answers
Answer:
the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.
Step-by-step explanation:
What is the y-intercept of the following equation?
y=x2-3x-4
Answers
Answer:
y- intercept is ( 0, -4 )
Step-by-step explanation:
Find an algebraic expression equivalent to 3 over 2 left paren 6 x squared minus two over 3 x right paren
Answers
The equivalent expression of 3/2(6x^2 - 2/3x) is 9x^2 - x
How to determine the equivalent expression?The expression is given as:
3/2(6x^2 - 2/3x)
Open the bracket
3/2*6x^2 - 3/2*2/3x
Evaluate the product
9x^2 - x
Hence, the equivalent expression of 3/2(6x^2 - 2/3x) is 9x^2 - x
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Volume of a cube (cm') = width (cm) x height (cm) x length (cm). 1.1) Using the equation above, determine the volume of a cube that measures 3 cm wide, 3 cm tall, and 3 cm long. 1.2) Let's say this cube is made out of ice and has a mass of 24.76 grams (g). What is this ice cube's density? 1.3) The density of liquid water is slightly higher than that of frozen water ice. Liquid water's density at standard pressures and temperatures is 1.00 grams per cubic centimeter (g/cm'). Given that density, what is the mass of a cube of water measuring 3 cm wide, 3 cm tall, and 3 cm long? 1.4) Compare the weight of the water you calculated in question 1.3 with the weight of the ice of the same volume given in question 1.2. Which is heavier, the liquid water or the ice? Notice that the cube of water is the same size (or volume) as the cube of ice. 1.5) You know that ice floats on water. Explain why.
Answers
1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:
Volume = 3 cm x 3 cm x 3 cm = 27 cm³.
Therefore, the volume of the cube is 27 cubic centimeters.
1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:
Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.
Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:
Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.
Therefore, the mass of the water cube is 27 grams.
1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.
Therefore, the weight of the water and the ice would be the same under the same conditions.
1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.
When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.
In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
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