Answer:
A. 4 x 48
Step-by-step explanation:
There are 4 graphs each containing 48 cubes therefor 4 x 48
Why do you think users of mobile payments are at a higher risk for financial mismanagement?
Mobile payments are payment transactions done with the help of a mobile phone. Think Venmo, Square Cash and Gogle Wallet, used to transfer money and even to shop at participating retailers – all with the tap of screen. According to a recent global study on mobile payment transactions, the mobile payments market was worth $550 billion in 2015 and is expected to grow more than 39% by 2020. That is explosive growth by any calculation.
But within all the buzz and investment that is flowing into this industry lies a cautionary tale, one that AnnaMaria Lusardi, director of the Global Financial Literacy Excellence Center (GFLEC) at George Washington University in Washington, D.C., explains like this: “We can make payments with the touch of a button, but the impact of this rapid innovation is not being examined.”
pls give the answer with step by step explanation... :)
Answer:
Step-by-step explanation:
so you do 1150 x 115% to give you the answer and then you get the answer of that and take away 1150 and you should get your answer
evaluate the expression 3x+5 when x=10
Answer:
35
Step-by-step explanation:
3(10)+5
35
Answer:
35
Step-by-step explanation:
\(3x+5\)
Plug 10 into the expression as \(x\)
\(3(10)+5\\= 30+5\\= 35\)
I hope this helps!
Solve and graph 11x+6<9x+10
We solved the given inequality and found the values of x lie in the interval ( -∞ , 4). This is graphed and shown on the number line as below.
What is meant by inequality?
A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line.
Given inequality is:
11x + 6 < 9x + 10
Solving,
11x - 9x < 10 - 6
2x < 4
x < 4
The values of x is in the interval : ( -∞ , 4)
The above inequality is shown below on the number line as well as on the graph.
We can see that all the values to the left of 4 but not including 4 can be taken as the value of x.
Therefore we solved the given inequality which is graphed and shown on the number line.
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what is 15-10c=13 worked out
Answer:
\(15 - 10c = 13 \\ 10c = 15 - 13 \\ 10c = 2 \\ c = \frac{2}{10} \\ c = \frac{1}{5} \)
Over the past 20 years the prices of homes have increased by 30%, resulting in the average price of a house being $500,000. What was the average price of a house 20 years ago?
Answer:
In the best 30 years for the housing market (1976-2005), real price appreciation averaged 2.2% per year. In the worst 30 years for housing (1895-1924), real price appreciation averaged -2.0% per year.
Answer:
Step-by-step explanation:
According to ISM, _____ is a framework of measurable corporate policies and procedures and resulting behavior designed to benefit the workplace and, by extension, the individual, the organization, and the community.
According to ISM (Institute for Supply Management), a framework of measurable corporate policies and procedures and resulting behavior designed to benefit the workplace and, by extension, the individual, the organization, and the community is referred to as "social responsibility."
Social responsibility encompasses the idea that businesses have a responsibility to operate ethically, sustainably, and in a manner that contributes positively to society. It involves adopting policies and practices that prioritize the well-being of employees, stakeholders, and the environment. By implementing social responsibility measures, organizations aim to create a positive impact on society while also enhancing their own reputation, long-term success, and overall value. This framework encourages businesses to integrate social, environmental, and ethical considerations into their decision-making processes and day-to-day operations.
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A student taking a multiple choice quiz with 6 questions. Each question has 5 possible answers. A student guesses at each question. What is the probability that the student gets 4 answers correct?
The probability that the student gets 4 answers correct is approximately 0.032.
To calculate the probability, we need to determine the number of ways the student can choose 4 correct answers out of 6 questions. Each question has 5 possible answers, so the total number of possible outcomes for each question is 5.
Using the binomial probability formula, we can calculate the probability as follows:
P(X = k) = C(n, k) * p^k * q^(n-k)
Where:
P(X = k) is the probability of getting k successes (in this case, 4 correct answers),
C(n, k) is the number of combinations of n items taken k at a time,
p is the probability of success on a single trial (getting an answer correct), and
q is the probability of failure on a single trial (getting an answer incorrect).
In this case, n = 6 (number of questions), k = 4 (number of correct answers), p = 1/5 (probability of getting a single question correct), and q = 4/5 (probability of getting a single question incorrect).
Using the formula, we can calculate the probability:
P(X = 4) = C(6, 4) * (1/5)^4 * (4/5)^(6-4)
= 15 * (1/5)^4 * (4/5)^2
= 15 * (1/625) * (16/25)
= 0.0096
Therefore, the probability that the student gets 4 answers correct is approximately 0.0096 or 0.96%.
The probability of a student guessing 4 out of 6 answers correctly on a multiple-choice quiz with 5 options for each question is approximately 0.0096 or 0.96%. This means that the chances of randomly guessing 4 answers correctly are relatively low.
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volume of a pyramid with a square base of length 5m is 75m³. Find it's hieght
Answer:
The height of the pyramid is 3 m.
Step-by-step explanation:
Given;
volume of pyramid, V = 75 m³
length of the square, L = 5 m
The volume of a pyramid is given as;
V = area of the square base x height
V = Ah
where;
A = L² = 5 x 5 = 25 m²
h = V/A
h = (75) / (25)
h = 3 m
Therefore, the height of the pyramid is 3 m.
Jenny multiplies the square root of her favorite positive integer by √2. Her product is an integer. a) Name three numbers that could be Jenny's favorite positive integer, and explain why each could possibly be Jenny's favorite integer. b) Suppose Jenny divides the square root of her favorite positive integer by √2. Does she have to get an integer? (Remember, when Jenny multiplies the square root of her favorite integer by √2, she gets an integer.) For part (b), try using each of the numbers you found in part (a) as Jenny's favorite number.
Answer:
(a) Three numbers that could be Jenny's favorite number are;
2, 8, and 18
(b) Yes
Step-by-step explanation:
(a) Let Jenny's favorite integer be X, we have;
√X × √2 = Y where Y is an integer
Therefore, the square root of Jenny's favorite number has a factor of √2 which gives the possible options as
2 with √2 being the square root
8 with √8 = 2·√2
18 with √18 being 3·√2
(b) By dividing each of the square root of the possible Jenny's favorite number, we have;
i) For the integer 2 we have;
√2/√2 = 1 which is an integer
ii) For the integer 8 we have;
√8/√2 = 2·√2/√2 = 2 which is an integer
ii) For the integer 18 we have;
√18/√2 = 3·√2/√2 = 3 which is an integer
Convert 10000 seconds in to the number of equivalent hours minutes and seconds
Answer:
2 hours 46 minutes and 40 seconds
Step-by-step explanation:
First we divide by 60 to find how many minutes are in 10000 seconds :
10000÷60 = 166 minutes with remainder 40 seconds
If 166 minutes and 40 seconds is 100000 seconds then we change 166 minutes into hours and minutes :
We do this by dividing 166 by 60 :
166 ÷ 60 :
2 hours Remainder 46 minutes
So our final answer is :
2 hours 46 minutes and 40 seconds
Hope this helped and have a good day
Intersecting lines l, m, and n form a triangle.
What is the value of x?
The solution of x in the intersecting lines l, m, and n forming a triangle is 70
Calculating the measure of the angle x in the triangleFrom the question, we have the following parameters that can be used in our computation:
The intersecting lines l, m, and n that form a triangle.
Using the sum of opposite internal angles of a triangle, we have the following equation
x = 30 + 40
Evaluate the sum of the expressions
So, we have the following representation
x = 70
Hence, the calculated measure of the angle x is 70 degrees
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Figure 2 below shows the temperatures of the water in 15 different beakers. Round the temperatures to the nearest integer to estimate the mean temperature.
The mean temperature of water in 15 different beakers. Round, the temperature to the nearest integer is 4° C.
What is mean?The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.
Given:
The data of temperature = 4.5° C, 3.7° C, 4.3° C, 4.1° C, 2.9° C
The frequency of the data = 3, 4, 2, 3, 2
Calculate the mean by the following formula,
M = ∑quantities × frequency / no of qualities
Here, M is the mean.
M = (4.5 × 3 + 3.7 × 4 + 4.3 × 2 + 4.1 × 3 + 2.9 × 2) / 14
M = 3.9 or 4° C
Therefore, the mean temperature is 4° C.
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The ratio of a to b is 4/7. If a is 16, find the value of b.
Answer:
B=28
Step-by-step explanation:
Find the area of the polygon?
The area of the polygon will be equal to 58.1 square units.
What is an area of a polygon?A polygon's area is the region that it occupies. Polygons can be both regular and irregular in shape. Triangles, squares, rectangles, pentagons, hexagons, and other basic polygons are used in geometry. Each of these polygons has its own area.
A pentagon is a given polygon. The apothem is the perpendicular line drawn from the octagon's midpoint to the base of one of its sides.
The formula for determining the area of a regular polygon is expressed as
Area = a² × n × tan 180/n
Where n represents the number of sides of the polygon.
n = 5
Area = 4² × 5 × tan(180/5)
Area = 80 × tan 36
Area = 58.1 Square units
Hence, the polygon will have an area of 58.1 Square units.
The missing image is attached with the answer below.
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Find the directional derivative of f (x, y, z) = 2z2x + y3 at the point (1, 2, 2) in the direction of the vector 1/5akar i + 1/5akar j
(Use symbolic notation and fractions where needed.) directional derivative:
ఊhe directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.
To find the directional derivative of the function f(x, y, z) = 2z^2x + y^3 at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j, we can use the formula for the directional derivative:
D_v(f) = ∇f · v
where ∇f is the gradient of f.
Taking the partial derivatives of f with respect to each variable, we have:
∂f/∂x = 2z^2
∂f/∂y = 3y^2
∂f/∂z = 4xz
Evaluating these partial derivatives at the point (1, 2, 2), we get:
∂f/∂x = 2(2)^2 = 8
∂f/∂y = 3(2)^2 = 12
∂f/∂z = 4(1)(2) = 8
Therefore, the gradient ∇f at (1, 2, 2) is given by ∇f = 8i + 12j + 8k.
Substituting the values into the directional derivative formula, we have:
D_v(f) = ∇f · v = (8i + 12j + 8k) · (1/5√2)i + (1/5√2)j
= 8(1/5√2) + 12(1/5√2) + 8(0)
= (8/5√2) + (12/5√2)
= (8 + 12)/(5√2)
= 20/(5√2)
= 4/√2
= 4√2/2
= 2√2
Hence, the directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.
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A rope weighs 600 grams per meter of length.What is the weight in kilograms of 12.2 meters of this rope?
-3x+2<8 answer this equation
Answer:
x>-2
Step-by-step explanation:
-3x+2<8
Subtract 2 from each side
-3x+2-2<8 -2
-3x < 6
Divide each side by -3. remembering to flip the inequality
-3x/-3 >6/-3
x>-2
Five cubic meters of copper has a mass of 44,800 kilograms. What is the density of copper?
Answer:
i thin it is 8960
Step-by-step explanation:
44800 divided by five = 8960
Expand the following :
X( 2x-5)
2x (3x+4)
6x(x-2y)
The expressions are expanded to give;
1. 2x² - 5x
2. 6x² + 8x
3. 6x² - 12xy
What are algebraic expressions?Algebraic expressions are defined as expressions consisting of variables, coefficients, constants, terms and factors.
These expressions are also known to consist of mathematical operations, which includes;
BracketParenthesesAdditionSubtractionMultiplicationDivision, etcFrom the information given, we have that;
a. x (2x - 5)
expand the bracket
2x² - 5x
b. 2x (3x+4)
expand the bracket
6x² + 8x
c. 6x(x-2y)
expand the bracket
6x² - 12xy
Hence, the expressions are 2x² - 5x, 6x² + 8x and 6x² - 12xy
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Answer:
1) 2x² - 5x
2) 6x² + 8x
3) 6x² - 12xy
Step-by-step explanation:
1) x ( 2x - 5 )
To expand the above, multiply both terms inside the brackets by x.
2x² - 5x
2) 2x ( 3x + 4 )
To expand the above, multiply both terms inside the brackets by 2x.
6x² + 8x
3) 6x ( x - 2y )
To expand the above, multiply both terms inside the brackets by 6x.
6x² - 12xy
For which integers 0 ≤ c < 30, does the congruence 12x ≡ c (mod 30) have solutions? When there are solutions, determine how many incongruent solutions there are.
The congruence 12x ≡ c (mod 30) has solutions if and only if c is even, and in this case there are 15 incongruent solutions for x modulo 30.
To solve this congruence, we can first simplify it by dividing both sides by the greatest common divisor of 12 and 30, which is 6. This gives us the equivalent congruence:
2x ≡ c/6 (mod 5)
Now we can use modular arithmetic to find the solutions. Since 2 and 5 are relatively prime, we know that 2 has a modular inverse modulo 5, which is 3, since 2*3 ≡ 1 (mod 5). Multiplying both sides of the congruence by 3, we get:
6x ≡ 3c/6 ≡ c/2 (mod 5)
Since 6 is congruent to 1 modulo 5, we can simplify this to:
x ≡ 3c/2 (mod 5)
Now we need to find the values of c such that there are solutions to this congruence. Since we are looking for solutions modulo 30, we only need to consider the values of c modulo 30.
If c is even, then c/2 is an integer and we can find a solution for x modulo 5. Specifically, there is exactly one solution for x modulo 5 for each value of c/2 modulo 5, since 3 is a primitive root modulo 5. Therefore, there are 15 incongruent solutions for x modulo 30 in this case.
If c is odd, then c/2 is not an integer and there are no solutions for x modulo 5. Therefore, there are no solutions for x modulo 30 in this case.
In summary, the congruence 12x ≡ c (mod 30) has solutions if and only if c is even, and in this case there are 15 incongruent solutions for x modulo 30.
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Find the domain of the function. (Enter your answer using interval notation.)
Answer:
The Domain should be (10,+infinity) as x>10
Step-by-step explanation:
Use the interactive graph to plot each set of points.
Which sets represent proportional relationships?
Check all that apply.
O (3, 1), (6, 2), (9, 3)
O (2, 4), (4, 6), (7,9)
O (1.5, 3), (3, 6), (4,8)
(3, 1), (4, 3), (8, 6)
The only set that represents a proportional relationship is Set 1: (3, 1), (6, 2), (9, 3). A is correct answer.
To determine which sets represent proportional relationships, let's plot each set of points on a graph and analyze the patterns.
Set 1: (3, 1), (6, 2), (9, 3)
When we plot these points on a graph, we see that they fall on a straight line that passes through the origin (0, 0). The points are evenly spaced, indicating a constant ratio between the x and y coordinates. Therefore, Set 1 represents a proportional relationship.
Set 2: (2, 4), (4, 6), (7, 9)
When we plot these points, they do not fall on a straight line passing through the origin. The points are not evenly spaced, and the ratio between the x and y coordinates is not constant. Therefore, Set 2 does not represent a proportional relationship.
Set 3: (1.5, 3), (3, 6), (4, 8)
When we plot these points, they do not fall on a straight line passing through the origin. Although the points are somewhat evenly spaced, the ratio between the x and y coordinates is not constant. Therefore, Set 3 does not represent a proportional relationship.
Set 4: (3, 1), (4, 3), (8, 6)
When we plot these points, they do not fall on a straight line passing through the origin. The points are not evenly spaced, and the ratio between the x and y coordinates is not constant. Therefore, Set 4 does not represent a proportional relationship.
In conclusion, the only set that represents a proportional relationship is Set 1: (3, 1), (6, 2), (9, 3). A is correct answer.
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Convert 3,200,000 to scientific notation.
A. 3.2 ⋅ 106
B. 3.2 ⋅ 105
C. 3.2 ⋅ 10−6
D. 3.2 ⋅ 10−5
Solve x2 12x = –11 by completing the square. which is the solution set of the equation?
The solution set of the equation will be x = - 1, or x = - 11.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
To solve the equation x² + 12 x = -11, you can calculate this using the following steps:
x² + 12 x = -11
x² + 12 x + 11 = 0
(x + 1) (x + 11) = 0
1. x = - 1
2. x = - 11
Therefore, solution set of the equation will be x = - 1, or x = - 11.
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Problem 1. The steady-state response of a damped, linear system to a sinusoidal input U sin(ωt) takes the form xss(t) = X sin(ωt + φ)
If φ < 0, the output is said to "lag" the input whereas, if φ > 0, the output is said to lead the input. Consider the following first order LTI ODE with forcing:
˙x + 5x = 2sin(10t)
What is the steady-state amplitude X and the steady-state phase φ? Plot input versus time and output versus time on the same plot. (You may use a computer if you prefer, but a neat hand-sketch is acceptable.) Does the steady-state response xss(t) lead or lag the input?
The steady-state amplitude is X = 2/√(29) and the steady-state phase is φ = -tan^(-1)(10/√29), the steady-state response xss(t) lags the input.
The steady-state response of the given system is a sinusoidal function with amplitude X and phase φ. Using the formula for steady-state response, we can find the values of X and φ for the given system. The output is said to lag the input if the phase is negative, which is the case here. We can plot the input and output versus time on the same graph to visualize the lag.
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Question 8(Multiple Choice Worth 3 points)
(07.06 LC)
Given a polynomial f(x), if (x - 4) is a factor, what else must be true?
Of(0) = 4
F(0)=4
F(0)= -4
F(4)=0
F(-4)=0
two x squared + 5 square root of x+2
Answer:
2x²+5\(\sqrt{x+2}\)
Step-by-step explanation:
whats the answer to the question attached below
Answer:
ans= 36.72 /1- 15/100
= 36.72 * 20/17
= 36.72 * 1.17647 = 43.2
the original price = £43.2
The shapes below are similar. Find the length x. Will mark brainliest!!!!!!
The value of x is 8 mm.
What are Similar Figures ?Similar Figures are the figures in which all the sides of one figure are in same ratio with the other side.
Two figures are given which are similar to each other .
When two figures are in ratio a:b then Area will be in ratio a² : b²
Area of figure 1 = 22 sq.mm
Area of figure 2 = 352 sq.mm
A1 :A2 = 22 /352
a² : b² = 1 / 16
a:b = 1/4
Therefore the bigger figure is 4 times the small figure .
The 4mm side will be 16 mm in the larger figure
The difference will be the value of x
x = 24 -16 = 8 mm
Therefore the value of x is 8 mm.
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Answer:
x = 8
Step-by-step explanation:
Similar shapes are dilations of each other using a scale factor.
As the area of both figures has been given, the scale factor that maps the green figure to the yellow figure can be calculated:
\(\implies \textsf{Scale factor (area)} = \dfrac{\textsf{area of yellow figure}}{\textsf{area of green figure}} = \sf \dfrac{352}{22} = 16\)
Area is measured in square units. Therefore, to find the scale factor for length, square root the scale factor for area:
\(\begin{aligned}\implies \textsf{Scale factor (length)} & = \sf \sqrt{\textsf{Scale factor for area}} \\ & =\sf \sqrt{16}\\ & = \sf 4 \end{aligned}\)
Use the found scale factor for length to find the perimeter of the yellow figure:
\(\begin{aligned} \sf \implies \textsf{Perimeter (yellow fig)} & = \sf \textsf{perimeter (green fig)} \times scale\:factor \\ & = \sf 26 \times 4 \\ & = \sf 104\: mm \end{aligned}\)
Find the missing horizontal lengths of the yellow figure by using the corresponding length of the green figure:
⇒ 4 mm × 4 = 16 mm
⇒ 24 mm - 16 mm = 8 mm
Let the height of the yellow figure be y.
⇒ 24 + 8 + 16 + y + x + (y - x) = perimeter
⇒ 48 + 2y = 104
⇒ 2y = 56
⇒ y = 28 mm
Divide the yellow figure into two rectangles (see attachment).
Area of left rectangle = y × 8 = 28 × 8 = 224 mm²Area of right rectangle = 16x mm²To find x, sum the areas of the rectangles and equate to 352:
⇒ 224 + 16x = total area
⇒ 224 + 16x = 352
⇒ 16x = 128
⇒ x = 8