The statements that could be represents the expression 40×(-18) is
A hot air balloon descends 18 inches per a second for 40 secondsTrey withdraws $18 from his checking account once a week for 40 weeks.Morty withdraws $40 from his checking account once a month for 18 months.The expression= 40×(-18)
A hot air balloon descends 18 inches per a second for 40 seconds=40×(-18)
A hot air balloon ascends 40 inches per a second for 18 seconds=40×18
Trey withdraws $18 from his checking account once a week for 40 weeks=40×(-18)
Suzanne deposits $18 into her savings account once a week for 40 weeks=40×18
Morty withdraws $40 from his checking account once a month for 18 months=40×(-18)
Hence, The statements that could be represents the expression 40×(-18) is
A hot air balloon descends 18 inches per a second for 40 secondsTrey withdraws $18 from his checking account once a week for 40 weeks.Morty withdraws $40 from his checking account once a month for 18 months.Learn more about expression here
brainly.com/question/16804733
#SPJ1
What is the rate of discount if a pair of shoes is regularly $145.00 and the sales price is $108.75?
Answer:
25%
Step-by-step explanation:
You set up the proportion 108.75/145 is x/100 to find out what percentage of 145 108.75 is. You can then use this proportion to find that percentage with cross multiplying, by doing this you get the equation 108.75 times 100 is equal to 145x. Then you simplify to get 10,875=145x. Then you solve like regular by dividing both sides by 145 to get x=75. Now we know that 108.75 is 75% of 145, but we aren't done yet. Now in order to find the discount price you subtract 75 from 100 to get 25, so you're finding the difference between 100 and the x-value we just found. The final answer is 25%
Calculate the body surface area of a person who is 160 cm tall and weighs 100 kg. Round your answer to two decimal places.
The body surface area is approximately \(1.732 m^2\).
To calculate the body surface area (BSA) of a person, we can use the DuBois formula:
\(BSA = 0.007184 * height^{0.725} * weight^{0.425}\)
where height is in centimeters and weight is in kilograms.
Given:
Height = 160 cm
Weight = 100 kg
Substituting these values into the formula:
\(BSA = 0.007184 * (160)^{0.725} * (100)^{0.425}\)
Calculating:
BSA ≈ \(1.732 m^2\)
Rounded to two decimal places, the body surface area is approximately \(1.732 m^2\).
For more details about body surface area
https://brainly.com/question/12977692
#SPJ4
A package of 6 pairs of insulated socks cost 49.74 What is the unit price of the pairs of socks?
If p(x) = 5(x^2 +1) + 16, what is the value of p(11)?
A. 622
B. 736
C. 626
D. 690
C. p(11) = 626.
Step-by-step explanation:
Given : p(x) = 5(x²+1)+16.
To find : what is the value of p(11).
Solution : We have given p(x) = 5(x²+1)+16.
For x = 11.
p(11) = 5((11)²+1)+16.
p(11) = 5 ( 121 + 1 ) +16.
p(11) = 5 (122) + 16.
p(11) = 610 + 16.
p(11) = 626.
Therefore, p(11) = 626.
Could someone help me?
(50 Points)
Answer:
.
Step-by-step explanation:
.............................
, write an expression should be used to determine the total number of points Amanda scored in Tuesday's game?
tifhsjruf7sh3bfhchwbe
what is the volume of the solid generated when the region in the first quadrant bounded by the graph of y
The volume of the solid generated when the region in the first quadrant is: V ≈ 183.78
Volume of Solid Revolution:The disc method, the shell method, and Pappus' centroid theorem can all be used to calculate volume. In many academic disciplines, such as engineering, medical imaging, and geometry, revolution volumes are used. Integration can be used to determine the area of a region bounded by a known curve.
Because we are only revolving the region in the first quadrant, the x values range from x = 0 to x = 3.
Because of the rotation is about the vertical line x = -1, the radius of the cylindrical shell at x is r = x + 1.
The height of the cylindrical shell at x is h = \(x^{2}\)
We can now create our integral equation to find the volume:
\(V =2\pi\int\limits^a_b {rh} \, dx =2\pi\int\limits^3_0 {(1+x)x^2} \, dx \\\\V =2\pi\int\limits^3_0 {(x^{2} +x^3)} \, dx\)
We can now integrate and evaluate to find the volume of the solid.
\(V=2\pi(\frac{x^3}{3}+\frac{x^4}{4} )|^3_0\\\\V = 2\pi(\frac{27}{3}+\frac{81}{4} )\\\\V=\frac{117\pi}{2}\)
V ≈ 183.78
Learn more about Volume of the solid at:
https://brainly.com/question/30465757
#SPJ4
The given question is incomplete, complete question is:
Find the volume of the solid generated by revolving the region in the first quadrant bounded above by the curve y =\(x^{2}\), below by the x-axis, and on the right by the line x = 3, about the line x = −1
if you were to walk around the perimeter of a particular building, you would cover 2516 ft. if this rectangular building is 194 ft longer than it is wide, what are its dimensions?
Answer:
532 ft wide726 ft longStep-by-step explanation:
You want to know the dimensions of a rectangular building that has a perimeter of 2516 feet and is 194 feet longer than wide.
SetupLet w represent the width of the building. Then w+194 is the length, and the perimeter is ...
P = 2(L +W)
2516 = 2((w+194) +w)
Solution2516 = 4w +388 . . . . simplify
2128 = 4w . . . . . . . subtract 388
532 = w . . . . . . . divide by 4
w+194 = 726 . . . . . length
The building is 532 feet wide and 726 feet long.
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
Select all acute angles:
Answer:
A, D and F
Step-by-step explanation:
cus they are an acute triangle because they are smaller than 90 degrees
A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of xx.
Answer:
Photo?
Step-by-step explanation:
If there is a photo linked I dont see it
Also: Dont click the stpid link below its malware
Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.
Answer:
Hi,
a=b+3
Step-by-step explanation:
\(\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}\)
\(\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}\)
Thus:
c+2b+8-4a=c-a-b-1
3b-3a=-9
a=b+3
Find the unknown angle ( please help)
Answer:
15) 30°
16) 49.5°
Step-by-step explanation:
15) We solve using the Trigonometric function of Sine
sin θ = Opposite/Hypotenuse
Opposite = 12
Hypotenuse = 24
sinθ = 12/24
θ = arc sin(12/24)
= 30°
Approximately = 30°
16)We solve using the Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
Adjacent = 13
Hypotenuse = 20
cos θ = 13/20
θ = arc cos (13/20)
= 49.458398126°
Approximately = 49.5°
Two such components, whose lifetimes are independent, are available. As soon as the first component fails, it is replaced with the second component. Let X denote the lifetime of the first component, and let Y denote the lifetime of the second component.
The lifetimes of the first and second components, X and Y respectively, can be analyzed using their individual probability distributions and considering their independence. The probability of each component failing before a given time T can be determined using the corresponding cumulative distribution functions.
Let's denote the lifetime of the first component as X and the lifetime of the second component as Y. The given information states that the lifetimes of these components are independent. Additionally, as soon as the first component fails, it is replaced with the second component.
In this scenario, we can consider the lifetime of each component to follow a probability distribution. Let's assume that X follows a probability distribution with a cumulative distribution function (CDF) F_X(x), and Y follows a probability distribution with a CDF F_Y(y).
Since the lifetimes are independent, the joint probability distribution of X and Y can be expressed as the product of their individual probability distributions:
F_XY(x, y) = F_X(x) * F_Y(y)
To analyze the behavior of X and Y, we can consider the probability that each component fails within a certain time frame. Let's define T as the time at which the first component fails.
The probability that X fails before time T is given by P(X < T) = F_X(T).
Since the second component replaces the first component as soon as it fails, the probability that the second component fails before time T is given by P(Y < T | X < T), which is the conditional probability of Y failing before time T given that X has already failed before time T. In this case, we condition on X < T to account for the replacement.
Using the concept of conditional probability, we can rewrite this as:
P(Y < T | X < T) = F_Y(T | X < T) / P(X < T)
Here, F_Y(T | X < T) represents the conditional CDF of Y given that X has already failed before time T. It indicates the probability that Y fails before time T, given that X has already failed before time T.
The expression F_Y(T | X < T) / P(X < T) can be interpreted as the probability that Y fails before time T, considering the replacement has already occurred due to the failure of X.
In summary, the lifetimes of the first and second components, X and Y respectively, can be analyzed using their individual probability distributions and considering their independence. The probability of each component failing before a given time T can be determined using the corresponding cumulative distribution functions.
Learn more about probability here
https://brainly.com/question/25839839
#SPJ11
FILL THE BLANK. in an instruction like: z = x y, the symbols x, y, and z are examples of _____.
In an instruction like "z = x y," the symbols x, y, and z are examples of variables.
Variables are placeholders that represent unknown or changing values in mathematical expressions or equations. They allow us to generalize mathematical relationships and solve problems using algebraic methods.
In mathematics, variables are symbols that represent unknown or varying quantities. They are used to express mathematical relationships, equations, and formulas.
In the given instruction "z = x y," the symbols x, y, and z are variables.
In this case, x and y represent the input values, and z represents the output or result of the mathematical operation defined by the equation.
Variables are used extensively in algebra to solve equations, manipulate expressions, and analyze mathematical relationships. They enable us to express and solve problems symbolically, without knowing the specific values of the variables.
By assigning specific values to variables, we can evaluate expressions, solve equations, and find solutions to mathematical problems.
Variables can represent a wide range of quantities, including numbers, measurements, constants, or even abstract concepts. They provide flexibility and generality in mathematical modeling and problem-solving.
By using variables, we can establish connections between different mathematical quantities and derive meaningful conclusions based on their relationships.
Learn more about mathematical expressions here:
https://brainly.com/question/30350742
#SPJ11
A bag contains 20 coloured marbles. Copy and
complete the table below to show the probability of
picking each colour at random and the number of
each colour marble in the bag. What is the
probability, as a percentage (%), of picking a purple
marble at random? How many purple marbles are in
the bag?
Colour
Yellow
Blue
Green
Purple
Probability
10%
15%
Number of marbles
6
Can anyone help me with this problem I really need help! ⚠️⚠️⚠️
- Compare the dimensions of the prisims. How many time greather is the surface area of the red prism than the surface area of the blue prism
- fill in the blanks.
Answer:
The answer for the first one is 3 times
the answer for the second one is 9
Step-by-step explanation:
What is the code in python to remove ' at the beginning and at the end and also remove the item at index 12?
To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.
To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().
Here's an example:
string = "'example string'"
stripped_string = string.strip("'")
After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.
To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.
Here's an example:
string_list = list(stripped_string)
string_list.pop(12)
result_string = ''.join(string_list)
After executing this code, the value of result_string will be the modified string with the item at index 12 removed.
Learn more about list() function here:
https://brainly.com/question/33326411
#SPJ11
Find the probability of getting a doublet in a throw of a pair of dice.
Question:
Find the probability of getting a doublet in a throw of a pair of dice.
Answer:
The probability is 1 out of 6.
Explanation:
There are a total of 6 possibilities that you get a doublet, which is {1, 1}, {2, 2}, {3, 3}, {4, 4}, {5, 5}, and {6, 6}.
The total possibilities of throwing a dice are 6 possibilities for the first dice, and 6 possibilities for the second dice. Which results in a total of 6 × 6 = 36 possibilities available.
Probability = Possibilities of getting doublet ÷ Total possibilities = 6 ÷ 36 = 1 ÷ 6.
Hopefully this answer will help you.
Find the surface area of the figure. Hint: the surface area from the missing prism inside the prism must be ADDED!
To find the surface area of the figure, we need to consider the individual surfaces and add them together.
First, let's identify the surfaces of the figure:
The lateral surface area of the larger prism (excluding the base)
The two bases of the larger prism
The lateral surface area of the smaller prism (excluding the base)
The two bases of the smaller prism
The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.
The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.
To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.
Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.
Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.
Learn more about surface here
https://brainly.com/question/16519513
#SPJ11
the ability to order items in a sequence, such as longest to shortest, is known as:
The ability to order items in a sequence, such as longest to shortest, is known as Seriation.
Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.
Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.
Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.
Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.
To learn more about seriation refer below
https://brainly.com/question/13762666
#SPJ11
Shane is standing near a cell tower. The angle of elevation from him to the top of the tower is 73°. Cara is standing 10 feet behind Shane (further away from the cell tower). From her, the angle of elevation to the top of the tower is 65°. What is the height of the tower, rounded to the nearest tenth of a foot?
A.9.1 ft
B. 59.0 ft
C. 62.3 ft
D.65.7 ft
Answer:
Either c or d
Step-by-step explanation:
Tyrell has a bankruptcy on his credit report and therefore pays higher interest rates on his current loans. he calculates that the extra money he pays in additional interest each year, if invested at the rate of 2.5% for one year, could earn him simple interest totaling $300. how much does tyrell pay in additional interest each month? a. $90 b. $100 c. $1,000 d. $12,000 please select the best answer from the choices provided. a b c d
Based on the simple interest amount he could be making, and the rate of investment, Tyrell's additional interest per month is $1,000.
How much is Tyrell paying in additional interest?Assuming the additional interest that Tyrell is paying is x, the following formula can be used:
300 = (x × 2.5%) x 12 months
Solving gives:
300 = 0.025x × 12
0.025x = 300/12
x = 25 / 0.025
x = $1,000
Find out more on additional interest at https://brainly.com/question/27037531.
#SPJ4
Answer:
1,000
Step-by-step explanation; trust me
DETERMINE WHICH OF THE LINES ARE PARALLEL OR PERPENDICULAR thx sm
Answer:
Parallel: a and b
Perpendicular: none
Step-by-step explanation:
You are given the coordinates of each line.
To check if they are parallel or perpendicular, need to find slope.
In this case we can use :
m = (y2 - y1) / (x2 - x1)
So for line a:
(1,5) and (-2, -4)
slope = (-4 - 5) / (-2 - 1)
slope = -9/-3
slope = 3
Line b:
(3, 2) and (1, -4)
slope = (-4 - 2)/(1 - 3)
slope = -6/-2
slope = 3
Line C:
(6, 1) and (-4, 2)
slope = ( 2 - 1) / ( -4 -6)
Slope = 1/ -10
slope = - 1/10
Line A and B are parallel because their slopes are the same.
To check if they are perpendicular, we need to know if their slopes are reciprocals.
Here none of them are perpendicular to each other
During 712months of hibernation, a black bear experienced a weight loss of 64.5 pounds.
On average, what was the bear’s weight change per month?
On average, the bear's weight change per month was 8.6 pounds.
What is the average?The average is the mean value in a data set.
We compute the average by adding the data values and dividing by the number of items in the data set.
In this scenario, the average weight loss per month offers an idea of the weight change the bear experienced during the 7¹/₂ months.
The number of months during hibernation = 7¹/₂ or 7.5 months
The total weight loss = 64.5 pounds
The average weight change per month = 8.6 pounds (64.5/7.5)
Thus, we can conclude that, on average, the bear experienced a weight loss of 8.6 pounds per month and reduced by a total of 64.5 pounds in 7¹/₂ months.
Learn more about average at https://brainly.com/question/1136789
#SPJ1
Question Completion:During 7 1/2months of hibernation, a black bear experienced a weight loss of 64.5 pounds.
Shakes.
4. A zoo has
It has 375 monkeys.
Compare the number of
snakes to the number
of monkeys.
Write > or <.
405
375
Answer:
405 > 375
375 < 405
Step-by-step explanation:
< is less than
> is greater than
3] Question 5 Consider the vector field F(x, y, z) = y cos (xy) i + x cos (xy)j – sin zk. (i) Calculate the curl of the vector field F. State whether F is conservative. (ii) Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve r(t) = n* i + t}j + tcos atk, 15t52. Calculate the scalar line integral of the vector field. F. dr. F.dr.
Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)
Now we calculate the partial derivatives as follows,
∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...
and,
∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0
Therefore,
∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j
The curl of F is given by:
(cos(xy) - xy sin(xy)) i - sin(z)j.
To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:
r(t) = n* i + t}j + tcos atk, 15t52.
The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t
= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt
= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1
= sin(a) sin(n) - (a/2) cos(2a)
The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).
The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).
To learn more about curve parameterization visit:
brainly.com/question/12982907
#SPJ11
Complete the function table
f(x)
f(-4)
f(0)
f(6)
3x²-14
x²
2x²-7x+5
Answer:
f(x): 3x^2 - 14, x^2, 2x^2 - 7x + 5
f(-4): 34, 16, 65
f(6): 94, 36, 35
Step-by-step explanation:
Plug the values into each respective function.
A man who makes models decided to make a
proportionally-sized model of his new car. The
actual car was 12 feet 9 inches long; the model he
made was 9 inches long. If the windshield on the
original car was 68 inches wide, how wide, in
inches, was the windshield on the model?
F. 31
5. 51
J. 6
K. 8
Answer:
8
Step-by-step explanation:
What condition has no solution?
A condition that is impossible to satisfy has no solution.
Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.
In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.
An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.
This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.
To learn more about solution, click here:
https://brainly.com/question/25785824
#SPJ4