If the freight elevator lifts goods the same height in 2 minutes and 30 seconds, it will travel at a pace of 6.4 feet per second.
What is speed?Speed is the pace at which an item moves along a route in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar number. The sign for speed is v (italic), whereas the symbol for velocity is v. (boldface). A bar is placed over the symbol to represent average values. Speed is defined as the rate at which distance changes over time. It has a distance by time dimension. Thus, the SI unit of speed is defined as a combination of the fundamental units of distance and time. As a result, the SI unit of speed is the metre per second.
Here,
Given that a passenger elevator in the sears tower in Chicago can lift people 960 feet in 1 minute and 30 seconds (1.5 minutes). This means that the lift is travelling with a speed of:
=960/1.5
=640 ft/min
If the elevator lifts cargo through the same height in 2 minutes and 30 seconds (2.5 minutes), then the speed is given by:
=640/2.5
=384 ft/min
=384/60
=6.4 ft/second
The freight elevator be traveling at the speed of 6.4 ft/second if it lifts cargo the same height but in 2 minutes and 30 seconds.
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What is the probability that all the members of your mathematics class have different birthdays? What is the probability that there is a birthday coincidence in the group?
Supposing a band of 20 members, we have that the probabilities are given as follows:
All have different birthdays: 0.9466 = 94.66%.There is a birthday coincidence: 0.0534 = 5.34%.What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The parameter values for this problem are given as follows:
n = 20, as the band has 20 members.p = 1/365, as the year has 365 days, hence the probability of a person having a given day as a birthday is of 1/365.The probability that all members have different birthdays is of P(X = 0), hence:
P(X = 0) = (1 - 1/365)^20 = 0.9466.
Hence the probability that there is a birthday coincidence is of:
P(X > 0) = 1 - P(X = 0) = 1 - 0.9466 = 0.0534.
Missing InformationThis problem is incomplete, hence we suppose a band of 20 members.
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a biologist is studying the growth of a particular species of algae. she writes the following equation to show the radius of the algae, f(d), in mm, after d days: f(d)
The y intercept of the graph of the function f(d) indicates f(d) = 11 and the average rate of change of the function f(d) from d = 2 to d = 7 is 0.114, making 6.97 a reasonable domain to depict the growth function.
What is meant by equation ?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
An equation is a mathematical expression with two equal sides and an equal sign in between. An equation is a mathematical statement proving the equality of two numbers or values.
Equations can be categorized as either identities or conditional equations. For each value of the variables, an identity holds true. Only specific values of the variables make a conditional equation true. An equals symbol ("="), separating two expressions, is used to represent an equation.
Part A:
11.79 = 11(1.01[tex])^d[/tex]
substitute the values in the above equation, we get
[tex]$$& (1.01)^d[/tex] = 11.79 / 11
simplifying the equation, we get
[tex]$$& (1.01)^d[/tex] = 1.071818
d = log 1.071818 / log 1.01
The value of d = 6.97
Part B:
y-intercept is obtained when domain = 0
[tex]$& d=0 \Rightarrow f(0)=11(1.01)^0=11 \times 1=11 \\[/tex]
f(d) = 11
Part C:
Average rate of change,
[tex]$\Delta \mathrm{f} / \Delta \mathrm{d} & =(\mathrm{f}(7)-\mathrm{f}(2)) /(7-2) \\[/tex]
[tex]$& =\left(11(1.01)^7-11(1.01)^2\right) / 5 \\[/tex]
= 0.57 / 5 = 0.114
The y intercept of the graph of the function f(d) indicates f(d)=11 and the average rate of change of the function f(d) from d=2 to d=7 is 0.114, making 6.97 a reasonable domain to depict the growth function.
The complete question is:
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent?
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6.97 is an appropriate domain in which to represent the growth function because the y intercept of the graph of the function f(d) suggests that f(d) = 11 and the average rate of change of the function f(d) from d = 2 to d = 7 is 0.114 as studied by biologist.
What do you understand by equation ?A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra.
A mathematical expression with two equal sides and an equal sign in the middle is called an equation. A mathematical statement establishing the equality of two numbers or values is called an equation.
Either identities or conditional equations are categories for equations. Each value of the variables corresponds to a specific identity. A conditional equation can only be true for a certain range of variable values. An equation is represented by two expressions being separated by the equals sign ("=").
Part A:
11.79 = 11(1.01
substitute the values in the above equation, we get
[tex](1.01)^{d}[/tex] = 11.79 / 11
simplifying the equation, we get
(1.01)^{0} = 1.071818
d = log 1.071818 / log 1.01
The value of d = 6.97
Part B:
y-intercept is obtained when domain = 0
d = 0
f(0) = 11[tex](1.01^{0} )[/tex] = 11 * 1 = 11
f(d) = 11
Part C:
Average rate of change,
Δf / Δd = (f(7) - f(2)) / 7-2
= 0.57 / 5 = 0.114
The y intercept of the graph of the function f(d) indicates f(d)=11 and the average rate of change of the function f(d) from d=2 to d=7 is 0.114, making 6.97 a reasonable domain to depict the growth function.
The complete question is:
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent?
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i need full marks for this question pls?
Answer:
one interior angle of octagon is 135 degree because the sum of interior angles of octagon is 1080 degree and when we divide it with the no of sides of octagon i.e. 8 the value of one internal angle should come 135 degree
Step-by-step explanation:
Hope this helps u!!
In the circle below, suppose m WXU= 102° and mLXWV=68°. Find the following.
In the circle below the suppose m WXU=102° and mL XWV=68° then the following is m ZXUV = 88°.
What is cyclic quadrilateral and explain the above answer?Four-sided shapes with all four corners on the same circle are known as cyclic quadrilaterals. A cyclic quadrilateral's internal angles are always added up to 360 degrees.
(a) m / WXU = 102° (Given)
(b) To find m ZXUV, we can use the property that the angles in a cyclic quadrilateral add up to 360°. Since WXU, XWV, and XLV are all inscribed angles that intercept the same arc, they are congruent. Therefore, m WXU = m XWV = m XLV = 102°. Adding these angles together, we have:
102° + 102° + 68° + m ZXUV = 360°
Solving for m ZXUV, we get:
m ZXUV = 360° - (102° + 102° + 68°)
m ZXUV = 88°
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Is 7th interval perfect?
7th interval is not perfect
7th interval is not perfect
A (real) interval in mathematics is a collection of real numbers that includes all real numbers that fall within any two of the collection's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤ x ≤1. The group of numbers such that 0 < x< 1 and the group of all real numbers are other examples of intervals.
the empty set, any singleton, the set of positive real numbers, the set of nonnegative real numbers, and (set of one element).
Real intervals are the simplest sets whose "length" (or "measure" or "size") is straightforward to define, making them significant in the theory of integration. The Borel measure and ultimately the Lebesgue measure can subsequently be produced by applying the concept of measure to more intricate sets of real numbers.
Interval arithmetic is a broad numerical computing method that automatically generates assured enclosures for all formulas, even in the presence of errors, approximations in mathematics, and arithmetic roundoff.
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There are 2 pitchers of iced tea. The iced tea in the 1st one was made with 4 tea bags and 1.25 quarts of water. The iced tea in the second pitcher was made with 5 tea bags and 2 quarts of water. Which pitcher has a higher concentration of tea? Why?
Answer:
Pitcher 2
Step-by-step explanation:
Pitcher 1 = 4 x 1.25 = 5ml concentration
Pitcher 2 = 5 x 2 = 10ml concentration
therefore, pitcher 2 has more concentration :)
hope this helped
PLEASE HELP!!!!!! URGENT!!!! sam has proposed an idea for the company truck design.... see screenshot
Answer: do it the idea
Step-by-step explanation:easy
You lose 0.3 point for stepping out of bounds during a gymnastics floor routine. Your final score is 9.124. Write and solve an equation to find your score x without the penalty.
The equation is x + 0.3 = 9.124 and the value of x is 8.824.
The following is a linear equation in one variable. It can be expressed in the form of ax+b=0. Here a and b are integers and x is a variable that has only one solution. In these type of equations only one variable is present.
We can write an equation to find the score without the penalty by using the information provided. Let x be the score without the penalty. We know that the final score (with the penalty) is 9.124 and that the penalty is 0.3 points. Therefore, we can set up the equation:
x + 0.3 = 9.124
To find the score without the penalty, we need to subtract 0.3 from both sides of the equation:
x = 9.124 - 0.3
x = 8.824
So, the score without the penalty is 8.824
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What is the measure of ∠L?
Enter your answer in the box. Round only your final answer to the nearest hundredth.
m∠L= °
====================================================
Explanation:
We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.
This is what your steps could look like:
cos(angle) = adjacent/hypotenuse
cos(L) = LM/LN
cos(L) = 18/60
cos(L) = 0.3
L = arccos(0.3)
L = 72.542396876278 which is approximate
L = 72.54 degrees approximately
Make sure your calculator is in degree mode.
If the area of Square 3 is 80cm and the area of square 2 is 100cm, what is the area of square1
The area of square 1 is 180 sq cm
What is the area of square?The area of a square is calculated with the help of the formula: Area = s × s, where, 's' is one side of the square. Since the area of a square is a two-dimensional quantity, it is always expressed in square units
Square 1 formed on hypotenuse of the triangle, squares 2 and 3 are formed on the perpendicular legs of the triangle. Thus, by Pythagoras Theorem, A(square 1) will be equal to the sum of the areas of (square 2) and (square 3).
Area of square 1 = Area of square 2 + Area of square 3
Area of square 1 = 100 + 80
Area of square 1 = 180cm^2
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A file that is 273 megabytes is being downloaded. If the download is 17.5% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
47.8 MB
Step-by-step explanation:
17.5% = 0.175
273 * 0.175 = 47.775
Rounded
47.8 MB
whats an=19-7(n-) in function form
The given expression is the explicit equation for arithmetic progression whose first term is 19 and the common difference is -7.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
here,
Given expression,
an=19-7(n-1)
The above-given expression is an explicit formula for the arithmetic progression,
Comparing the given expression with general expression an = a + d[n-1]
From the above comparison, we
first term,a = 19 and
the common difference, d = -7
Thus, the given expression is the explicit equation for arithmetic progression whose first term is 19 and the common difference is -7.
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Find the area of the polygon with vertices P(5,-1), Q(-1,-4), R(-3,1), and S(0,3). If necessary, round
to the nearest tenth.
Answer:
14.3 sq units
Step-by-step explanation:
this shape is a trapezoid so we need to find height and each parallel base
to find height we can take the midpoint of RS and the midpoint of QP and then find the distance between each midpoint
midpoint of RS = (-3/2,2)
midpoint of QP = (2,-5/2)
distance between the two is 16/2 or 8
d(RS) = √2²+3² = [tex]\sqrt{13}[/tex]
d(QP) = √3²+6² = √45 = [tex]\sqrt{9}[/tex][tex]\sqrt{5}[/tex] or 3[tex]\sqrt{5}[/tex]
put values into the formula for area:
A = 1/2(8) + ([tex]\sqrt{13}[/tex] + 3[tex]\sqrt{5}[/tex])
A = 4 + ([tex]\sqrt{13}[/tex] + 3[tex]\sqrt{5}[/tex])
A ≈ 14.3
Please help me!
When y decreases, x increases is an example of indirect variation.
True or false
Answer:
False
Step-by-step explanation:
Since it is a "one for one" deal, it would be direct variation as one varible is directly effecting another.
If you know the answer to this question please help!! ASAP
7th grade Math
Answer:
22°
Step-by-step explanation:
a right angle have 90°
So
x+68°=90°
=>x=90-68
=22°
Elena tenia 7500 para ir al acuario y su mama le dio 1500 adicianales. elena pago 6500 por la admision, 4750 por el almuerzo y 3950 por recuerdos.¿Cuanto le quedo a elena?
Respuesta:
6200
Explicación paso a paso:
Dado que :
Cantidad total que tiene Elena:
Su dinero + cantidad dada por su madre = (7500 + 1500) = 9000
Gastos de Elena:
Admisión = 6500
Almuerzo = 4750
Recuerdos = 3950
Gastos totales = (6500 + 4750 + 3950) = 15200
Cantidad restante:
Gastos totales - Cantidad que Elena tiene
(15200 - 9000) = 6200
What is the value of x? (2-5) 105
Answer:
x=-315
Step-by-step explanation:
I'm assuming the equation was x=(2-5)105.
If its not, please let me know. I will change my answer.
Answer:
x= -315
Step-by-step explanation:
DUE SUN HELP ASAP BRAINIEST
A toolbox contains 36 screwdrivers and hammers. There are three times as many hammers as screwdrivers.
Write a system of linear equations that represent this situation.
How many hammers are in the toolbox?
How many screwdrivers are in the toolbox?
Answer: There are 108 hammers, and there are 36 screwdrivers. 36×3=108·
Step-by-step explanation: We know that there are more hammers than screwdrivers, so there are 36 screwdrivers but there are 3 times as many hammers so we multiply 36 by 3 to get 108.
What is the sum of 5.3 X 10 and 3.8 x 104 in scientific notation?
a) 9.1 x 10^9
b) 9.1 x 10^5
c) 5.68 x 10^5
d) 4.33 x 10^4
What is the degree of 2 polynomial?
A polynomial with a degree of two is referred to as a quadratic polynomial.
What is a quadratic polynomial?When the highest power of a variable term in a polynomial expression equals 2, the term is considered a quadratic polynomial. The exponent of a polynomial is all that is considered when determining its degree. It does not account for the power of a coefficient or constant term.
When a quadratic polynomial is equated to 0, it generates a quadratic equation or a quadratic function. The solutions to a quadratic equation are known as its roots or zeros.
A quadratic polynomial is a second-degree polynomial with the highest degree term having the value 2 as its coefficient. A quadratic equation is written in its general form as ax² + bx + c = 0.
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Which expression is equivalent to -3x + 5x - 2y + 5x? *
A .13x -2y
B. 7x -2y
C. 7x + 2y
Job 1 the base pay is 30 and the job pay 150 total for an 8 hour day job 2 y=17x+25 which one pays more
Answer:
Job 2
Step-by-step explanation:
Find how much job 1 pays for 1 hour:
(150 - 30) ÷ 8 = 15
Job 1 pays $15 per hour.
Assuming variable x stands for number of hours worked, job 2 pays $17 an hour.
Put job 1 into a similarly formatted equation:
Variable y = total pay
y = 15x + 30
Compare job 1 and 2:
Job 1: 15x + 30
Job 2: 17x + 25
Just by looking at the two expressions, there is no obvious higher paying job so let's try plugging in 8 hours for x:
15(8) + 30 = 150
17(8) + 25 = 161
$161 is more than $150 so job 2 pays more.
One side of a right triangle has a length of 12 feet. Which of the following could be lengths for the two other sides of the right triangle?
I. 5 feet and 13 feet
II. 9 feet and V63 feet
III. V2 feet and V10 feet
A. III, and III
B. I and II only
C. I only
D.II and Ill only
Answer:
B
Step-by-step explanation:
Apply the Pythagorean Theorem to determine whether or not the given triplets represent right triangles or not:
I. 5 feet and 13 feet: 5^2 + 12^2 = 13^2 is TRUE
II. 9 ft and √63 ft: 9^2, 63, 12^2: 63 + 81 do add up to 144 TRUE
III. 2, 10, 12^2: 2 + 10 do NOT add up to 144. FALSE
Answer B is correct
Is there a triangle whose sides have length 10.2 cm 5.8 cm and 4.5 cm justify the answer?
Yes, a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm is possible.
As we know if these sides form a triangle, then
the sum of two sides > the third side
Now, the sum of 10.2 cm and 5.8 cm = 16 cm > 4.5 cm
The sum of 5.8 cm and 4.5 cm = 10.3 cm > 10.2 cm
The sum of 10.2 cm and 4.5 cm = 14.7 cm > 5.8 cm
Here the sum of the two sides is greater than the third side in all three cases.
Therefore a triangle whose sides are 10.2 cm, 5.8 cm and 4.5 cm is possible.
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Lin makes her favorite juice blend by mixing cranberry juice with apple juice in the ratio shown on the double number line. complete the diagram to show smaller and larger batches that would taste the same as lin's favorite blend. please
help it's due tomorrow
The ratios on the double line are 3:7, 6:14, 12:28 and 15:35.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, Lin makes her favorite juice blend by mixing cranberry juice with apple juice in the ratio shown on the double number line.
From the given double line, the ratio is 9:21.
Completed double line has the following ratios
3:7, 6:14, 12:28, 15:35
Therefore, the ratios on the double line are 3:7, 6:14, 12:28 and 15:35.
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Identify the graph of y + 11 <3(x+2).
This is on big ideas math
(The top right is wrong)
For given inequality, graph number 3 is correct.
What does a math inequality mean?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality results from a lack of balance.
How is an inequality calculated?Make use of the following steps to solve an inequality: Step 1: Remove fractions by multiplying all terms by the fractions' lowest common denominator. Step 2 Combine like terms on both sides of the inequality to simplify. Step 3 Obtain the unknown on one side and the numbers on the other by adding or subtracting quantities.
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help plss sjsjsjd SUUWU
Answer:
A = 18π units²
Step-by-step explanation:
The area (A) of the semicircle is calculated as
A = [tex]\frac{1}{2}[/tex] πr² ( r is the radius ) , then
A = [tex]\frac{1}{2}[/tex]π × 6² = [tex]\frac{1}{2}[/tex]π × 36 = 18π ← exact answer
( NO LINKS ) Mary $45 for 15 pounds of potatoes. What was the unit rate for the potatoes? *
A. $5/1 pound
B. $3/1 pound
C. 3 pounds/$5
Step-by-step explanation: it will be c because 45 divided by 15 = 3
Find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π
The area of the shaded regions is 4π + 4, which can be obtained by subtracting 2π - 4 from 3π. This is an exact value, with no further simplification required.
Step 1: Calculate the area of the entire circle.
A = πr^2
A = π(5)^2
A = 25π
Step 2: Calculate the area of the unshaded region.
A = πr^2
A = π(2)^2
A = 4π
Step 3: Subtract the area of the unshaded region from the area of the entire circle.
A = 25π - 4π
A = 21π
Step 4: Calculate the area of the shaded region.
A = 21π - (2π - 4)
A = 21π - 2π + 4
A = 19π + 4
A = 4π + 4
The area of the shaded regions can be found by subtracting the area of the unshaded region from the area of the entire circle. To find the area of the entire circle, we use the formula A = πr^2, where r is the radius of the circle. Plugging in r = 5, we get A = 25π. To find the area of the unshaded region, we use the same formula, but now with r = 2. This gives us A = 4π. Subtracting the area of the unshaded region from the area of the entire circle gives us A = 21π. We then subtract 2π - 4 from 21π to get the area of the shaded region, which is 4π + 4. This is an exact value, with no further simplification required.
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A catering company is setting up tables for a big event that will host 764 people when they set up the tables they need 2 forks for each child and 5 forks for each adult the company ordered a total of 2992 forks set up a system of equations involving the number of adults,a and the number of children,c and solve to find out how many of each attended the event
Answer:
488 adults and 276 children
Step-by-step explanation:
So, we need two linear equations here to start, and we do have them.
Our first linear equation tells us how we get the number of forks:
2c + 5a = 2992
And the second tells us the number of people there:
c + a = 764
I will solve this using substitution. We start by minusing a from both sides in the second equation, giving us:
c = 764 - a
Then, we will substitute this into our first equation, giving us:
2(764 - a) + 5a = 2992
Then, we will open the parentheses, giving us:
1528 - 2a + 5a = 2992
Combining like terms and subtracting 1528 from both sides gives us:
3a = 1464
Dividing by 3:
a = 488
So there were 488 adults. Then, we take our original second equation and substitute 488 for a, giving us:
488 + c = 764
Minus 488 from both sides gives us:
c = 276
So, there were 276 children. In total, we had 488 adults and 276 children.
Hope this helped!