the Lynch family bought a house for 75,300 .a few years later ,they sold the house for 80,250 how much greater was selling price than the purchase price
A tree is 2 1/2 feet tall. How tall will it be in 3 years if it grows 1/4 foot each year? Which method will NOT give the correct number of feet?
Pamela's age is two times Jiri's age. The sum of their ages is
33
. What is Jiri's age?
What divided by 2 equals -12
hi there i could really use the help with this question please
A theater can seat 273 people. The number of rows is 8 less than the number of seats in each row. How many rows of seats are there?
The product of two positive numbers is 120. One number is 7 more than the other. Determine the two numbers
the perimeter of a rectangle is 32 centimeters. the width is 7 centimeters what is the area of the rectangle
a pail holds 2 3/4 gallons of water how much is this in cups
The life span of a certain insect in days is uniformly distributed over the interval (20,36). What is the probability the insect will live 24 days or less? Possible Answers a) .24 b) .25 c) .20 d) .75
Answer:
b) 0.25
Step-by-step explanation:
The required probability is ...
(24 -20)/(36 -20) = 4/16 = 1/4 = 0.25
_____
Comment on the attached graph
The red line is the probability distribution function (pdf) for this uniform distribution. The green line is the cumulative distribution function (cdf) for this uniform distribution. It is the integral of the pdf.
The probability of interest is the value of the cdf at x=24. That value is 0.25, meaning the area under the pdf curve to the left of x=24 is 1/4 of the total area under the pdf curve. That proportion is what is calculated above.
jay simplified the expression 3 x (3 +12 / 3) -4. for his first step ,he added 3 + 12 to get 15. what was jay's error? find the correct answer
Jay's error was in the order of operations. The correct result is 17.
Jay's error lies in how he interpreted the expression. According to the order of operations (PEMDAS/BODMAS), multiplication and division should be performed before addition and subtraction.
So, the correct first step is to perform the division [tex]\( \frac{12}{3} = 4 \)[/tex]and then add 3 to the result, not add 3 and 12 together first.
The correct first step:
[tex]\[ 3 \times (3 + \frac{12}{3}) - 4 \][/tex]
[tex]\[ = 3 \times (3 + 4) - 4 \][/tex]
[tex]\[ = 3 \times 7 - 4 \][/tex]
= 21 - 4
= 17
Therefore, Jay's error was in the order of operations. The correct result is 17.
the production line where you work can assemble 5 amplifiers every 30 minutes at this rate how long should it take the line to assemble 125 amplifiers
The time taken to assemble 125 amplifiers is required.
Time taken to assemble 125 amplifiers is 750 minutes or 12 hours and 30 minutes.
Time taken to assemble 5 amplifiers is 30 minutes
[tex]5\ \text{amplifiers}=30\ \text{minutes}[/tex]
So,
[tex]1\ \text{amplifier}=\dfrac{30}{5}=6\ \text{minutes}[/tex]
[tex]125\ \text{amplifiers}=125\times 6=750\ \text{minutes}=\dfrac{750}{60}=12.5\ \text{hours}[/tex]
So, time taken to assemble 125 amplifiers is 750 minutes or 12 hours and 30 minutes.
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The length of the base of a triangle is twice its height. If the area of the triangle is 64 square kilometers, find the height.
To find the height of the triangle with an area of 64 square kilometers and a base twice its height, we use the area formula: A = (1/2) × base × height, which leads us to determine that the height is 8 kilometers.
Explanation:The question given involves finding the height of a triangle when the area is known and the relation between the base and height is given. Since the base is twice the height (b = 2h), and we know the formula for the area of a triangle is A = (1/2) × base × height, we can substitute the known area and the base-height relationship into this formula to solve for the height.
The area (A) is given as 64 square kilometers, which leads to the equation:
A = (1/2) × b × h = (1/2) × (2h) × h = h²,
Therefore, with A = 64 km², we obtain:
64 = h².
Taking the square root of both sides gives us the height (h):
h = √64 km = 8 km.
So the height of the triangle is 8 kilometers.
486 is 72% of what amount
Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50μm2. Convert this to square meters.
Express your answer in square meters.
One numer is 17 more than another number the sum of the two numbers is 25 find the numbers
can you simplify 3/r + 7/r+3
The digits 2 comma 3 comma 4 comma 5 comma and 2, 3, 4, 5, and 6 are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than 600.
the function f(x) varies directly with x and f(x)=250 when x=50
what is f(x) when x=5
10
15
25
50
The function f(x) varies directly with x and f(x) is 250 when x is 50, so
f(x) is 25 when x=5
What does the statement y varies directly as x describe?the function f(x) varies directly with x and
f(x)=250 when x=50
when x=5 f(x) = 5*5 = 25
Some textbooks will say "y varies directly as x," "y varies proportionally as x," or "y is directly proportional to x" to describe direct variation. This implies that the ratio between them always remains the same and that as x increases, y increases, and as x drops, y decreases.The direct variation equation can also be written as x = y / k. This indicates that the relationship between x and y is direct, with the constant of proportionality being equal to 1 / k.If x varies in direct proportion to y, the equation of variation is written as X times Y = K.To learn more about varies directly refer to:
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Heights of men on a baseball team have a Bell shaped distribution with a mean of 172cm and a standard deviation of 8cm. Using the empirical rule, what is the approximate percentage of the men between the following values? a. 156cm and 188cm b. 164cm and 180cm
s(t)=9t-4, find S(4)
To calculate S(4), substitute the value of t with 4 into the function S(t), which results in S(4) = 9(4) - 4, giving the final answer of 32.
Explanation:To find S(4), we need to substitute the value of t with 4 in the function S(t) = 9t - 4. This is a simple evaluation of a function for a given input.
Step-by-step calculation:
Write down the function: S(t) = 9t - 4Substitute t with 4: S(4) = 9(4) - 4Multiply 9 by 4: S(4) = 36 - 4Subtract 4 from 36: S(4) = 32Therefore, S(4) is 32.
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a used car priced at$5000.00 . The salesperson then offered a discount of $250.00.
What is the percent discount?
the iv has 500mg of antibiotics in 250 ml bag. The patient receives this antibiotic three times a day. how many mg of medication has the patient received in 24 hours and how many ml have been infused in 24 hour
A conical cup is made from a circular piece of paper with radius 6 cm by cutting out a sector and joining the edges as shown below. Suppose θ = 5π/3.
Answer:
(a) 10π cm
(b) r = 5 cm
(c) h = √11 cm
Step-by-step explanation:
(a) The surface of the opening the cup is circular in shape and a sector is cut from circle is calculate by formula,
C = r × θ
here, r = 6 cm
and θ = [tex]\frac{5\pi}{3}[/tex]
⇒ [tex]C = 6 \times \frac{5\pi}{3} = 10\pi[/tex]
(b) For finding the radius of the cup,
As the circumference of the circle is 10π
and we know that area of cone is calculate by formula, 2πr
⇒ 2πr = 10π
⇒ r = 5 cm
(c) In cone we know slant height(l) = 6 cm
Radius = 5 cm
Thus, using Pythagoras theorem,
l² = h² + r²
⇒ h² = l² - r²
⇒ h² = 36 - 25
⇒ h = √11 cm
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. xy = 9, x = 0, y = 9, y = 11
The volume of the solid obtained by rotating the region bounded by the curves about the x-axis is found using cylindrical shells, resulting in a total volume of 36π cubic units.
Explanation:To find the volume of the solid obtained by rotating the region bounded by the curves xy = 9, x = 0, y = 9, and y = 11 about the x-axis, we will utilize the method of cylindrical shells. The curves define a region in the xy-plane which, when rotated about the x-axis, forms a solid with varying radii. To apply the method, we first need to express the variable x in terms of y from xy = 9 to obtain x = 9/y.
Next, the volume of a representative cylindrical shell with thickness dy and height x = 9/y is given by the circumference of the shell (2πy) times the height (9/y) times the thickness (dy). This leads to the volume element dV = 2πy(9/y)dy = 18πdy. Integrating this volume element with respect to y between the limits 9 and 11 yields the total volume.
Using the integral calculus, the volume V is:
V = ∫911 18π dy = 18π [y]∫911 = 18π(11 - 9) = 36π cubic units.
Thus, the volume of the cylinder is 36π cubic units.
a recipe for 2 dozen corn muffins calls for 3 cups of flour. The number of muffins varies directly with the amount of flours you use. find the direct variation equation for the relationship between the number of cups of flours and the number of muffins
What type of simple machine is the crescent wrench
The crescent wrench is a type of lever, a simple machine that amplifies force to provide greater torque on fasteners with less input effort.
The crescent wrench is a type of simple machine, specifically it is a form of a lever. When you use a crescent wrench, you apply force to the handle, which then applies force to the object you are turning. The pivot point, or fulcrum, is the adjustable jaw which grips the nut or bolt. This allows the user to exert a greater torque on the fastener with less force than would be needed if just using one's hands.
Like other levers, the crescent wrench allows for a mechanical advantage, which is the ratio of output to input forces for any simple machine. By lengthening the handle of the wrench (the effort arm), we achieve a greater mechanical advantage, and thus, can apply more torque to the bolt or nut we are trying to turn.
The area of a rectangle is 336 square inches. If the width of a rectangle is 6 inches. What is the length of the rectangle?
Answer:
56
Step-by-step explanation:
what is the value of 4x to the second power +5x when x =1
Jim wants to build a rectangular parking lot along a busy street but only has 2,200 feet of fencing available. If no fencing is required along the street, find the maximum area of the parking lot.
The problem is an optimization problem in mathematics where one must use algebra and calculus to maximize the area of a rectangular parking lot with a given amount of fencing along three sides. By setting up a function for the area in terms of width and differentiating, the maximum area can be found.
Explanation:The problem presented involves finding the maximum area of a rectangular parking lot given a certain amount of fencing, when one side of the rectangle requires no fencing. This is a classic optimization problem in mathematics which involves the use of algebra and calculus. By setting up a function for the area of the rectangle in terms of one variable and differentiating to find the maximum value, we can determine the solution.
Lets assume that the length of the lot that is along the busy street doesn't require fencing, and let the width of the lot be w and the length be l. Since fencing is only required for three sides, and we have 2,200 feet of fencing, the perimeter equation is 2w + l = 2,200. Solving for l, we get l = 2,200 - 2w. The area A of the parking lot will be given by the equation A = w * l. Substituting the expression for l into the area equation, we get A = w(2,200 - 2w) or A = 2,200w - 2w^2. To find the maximum area, we take the derivative of A with respect to w, set it to zero, and solve for w. Once the width is found, we can find the length using the perimeter equation and thus calculate the maximum area of the lot.
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