We can determine 3 terms in the expression 3×2y, 3 terms in the expression 2y2z and 3 terms in the expression z2×5
What do you mean by expression?An expression is the symbolic form of representing a mathematical statement. In a word, description of a mathematical operation is expressed by a few terms and symbols. Expression has two component terms and symbols in where terms mean number, number accompanied by variables and variables. On the other hand, symbols mean addition, subtraction, division, multiplication, equal, inequal sign and so on.
How many numbers of terms in the above expression?In the question, we notice there are three expressions. The first one, 3 × 2y
3 is multiplied by 2y, here 3 is numbers and it is called constant, y is a variable and 2 is also a number but coefficient of y.
In the second expression, 2y2z, there are 3 terms, but number 2 is used in two times. In both cases, 2 is a coefficient of y and z respectively.
In the last, z2 × 5, we find there are 3 terms. 2 is a number called coefficient of variable z and 5 is constant.
we can say 2z is multiplied by 5.
hence, we find total 6 terms x, y, z, 2, 3 and 5.
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Target pays a clothing company $12.00 for each tee shirt it buys. Target then sells each tee shirt to its own customers at a mark up rate of 25%. For how much does target sell each shirt?
Answer:
$15.00
Step-by-step explanation:
Multiply the original cost by 1.25 to represent the mark up rate.
how do you find cube roots and squared roots without calculating
The methods of finding cube roots and squared roots without calculating include: Estimation, Logarithms and factoring
How to find cube roots and squared roots without calculatingHere are some general methods:
1. Cube roots
- Estimation: Finding the nearest perfect cube and taking its cube root is one approach to estimate the cube root of a number.
- Logarithms: Logarithms are another method for calculating the cube root of an integer.
2. Square roots:
- Estimation: Finding the nearest perfect square and taking its square root is one approach to estimate the square root of an integer.
- Factoring: Another method for determining the square root of a number is to divide it into its prime factors and then take the square root of the result.
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Question 9 Consider the following Fourier transfos pairs: W x(t) = 2 sinc (t) + X(w) = 2 mrect() find the Fourier Transforms X(w) in each of the following cases: v(t) = 2x(4t-2) 3 Marks v(t) = 2 rect() 3 Marks 3 r v(t) = cos(2)x(t) v(t) = 2e²i sinc (t) ml For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
Main Answer:
The Fourier Transform X(w) for the given cases is as follows:
1. v(t) = 2x(4t-2): X(w) = 1/2 rect(w/4) * e^(-jw/2)
2. v(t) = 2 rect(t): X(w) = 1/2 sinc(w/2)
3. v(t) = cos(2)x(t): X(w) = 1/2 [mrect(w - 2) + mrect(w + 2)]
4. v(t) = 2e^(2i) sinc(t): X(w) = 1/2 [mrect(w + 2) + mrect(w - 2)]
In the given question, we are provided with a set of Fourier Transform pairs. The task is to find the Fourier Transform X(w) for different cases of v(t). Let's analyze each case:
1. For v(t) = 2x(4t-2):
By applying the time-scaling property of the Fourier Transform, we can express v(t) as 2x(t/4) * e^(-j(2/4)w).
The Fourier Transform of x(t) = sinc(t) is given as X(w) = rect(w) * e^(-jw/2).
Using the time-scaling property, the Fourier Transform X(w) for v(t) is obtained as 1/2 rect(w/4) * e^(-jw/2).
2. For v(t) = 2 rect(t):
The rectangular pulse function rect(t) has a Fourier Transform of sinc(w).
By scaling the amplitude by a factor of 2, the Fourier Transform X(w) for v(t) is obtained as 1/2 sinc(w/2).
3. For v(t) = cos(2)x(t):
The Fourier Transform of cos(at) is given by 1/2 [mrect(w - a) + mrect(w + a)] multiplied by the Fourier Transform X(w) of x(t).
Here, a = 2, and X(w) is sinc(w).
Therefore, the Fourier Transform X(w) for v(t) is 1/2 [mrect(w - 2) + mrect(w + 2)].
4. For v(t) = 2e^(2i) sinc(t):
By applying the complex modulation property, we can express v(t) as e^(2i) * 2x(t), where x(t) = sinc(t).
The Fourier Transform X(w) of x(t) = sinc(t) is given as rect(w).
Applying the complex modulation property, the Fourier Transform X(w) for v(t) is obtained as 1/2 [mrect(w + 2) + mrect(w - 2)].
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What is the value of x in the figure below?
Answer:
I blieve that X would be 9 , good luck ^^
The table shows three functions and their output values for different values of x. Which equation represents h(x)? h(x) = (f(x))(g(x)) h(x) = f(x) – g(x) h(x) = f(x) + g(x)
The equation that represents h(x) is h(x) = (f(x))(g(x)).
To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).
Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).
Let's examine the table and compare the values:
x | f(x) | g(x) | h(x)
1 | 3 | 4 | 12
2 | 5 | 2 | 10
3 | 2 | 6 | 12
From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).
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Answer:
It's B.
Step-by-step explanation:
Edge 2020.
Now write 40,630 in scientific notation
Answer:
40630=4.063× 10 power 4(1/b^2-ab)-(1/ab-a^2)
A bus company charges $1.35 a kilometre for chartering a bus. Each bus can transport a maximum of 54 students. Assuming that the a bus is full, how much should each child pay if the distance to be covered is 50 km?
Answer:
$1.25 is the answer in my opinion
Answer:
Each child should pay $1.25
Step-by-step explanation:
$1.35 * 50 = $67.5
$67.5/54 = $1.25
100 points for the correct answer
what are the solutions of the following system?
\(\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.\)
Step-by-step explanation:
x-2y=-6 ...(1)
-2x+4y=-3 ...(2)
Multiply equation (1) by 2
So,
2x-4y=-12 ...(3)
Now add equation (2) and (3).
-2x+4y + 2x-4y = -3+(-12)
0=-15
It means that there is no solution of the given equations.
chris has been given a list of bands and asked to place a vote. his vote must have the names of his favorite and second favorite bands from the list. how many different votes are possible?
There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.
To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.
Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.
Therefore, the number of different votes possible is m * (m-1) / 2.
In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.
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A bag contains ten tlles labeled B, C, D, E, F, G, H, I, J, and K. One tile will be randomly picked.What is the probability of picking a letter that is not a vowel?Write your answer as a fraction in simplest form.
The number of vowels is:
\(2\)The total number of tiles is:
\(10\)Therefore, the total number of letters not vowels is given by:
\(10-2=8\)Hence, the probability of picking a letter that is not a vowel:
\(\frac{8}{10}=\frac{4}{5}\)Therefore the required probability is 4/5
((5x+2)/2)-((5x-2)/4)=3
Answer:
Explanation:
Given:
\(\frac{5x+2}{2}-\frac{5x-2}{4}=3\)To solve for the value of x, we simplify it first. So,
We multiply both sides by 4.
\(\begin{gathered} \frac{5x+2}{2}-\frac{5x-2}{4}=3 \\ 4(\frac{5x+2}{2}-\frac{5x-2}{4})=3(4) \\ \text{Simplify and rearrange} \\ 2(5x+2)-(5x-2)=12 \\ 10x+4-5x+2=12 \\ 5x+6=12 \\ 5x=12-6 \\ 5x=6 \\ x=\frac{6}{5} \end{gathered}\)Therefore, the answer is x=6/5.
Emily buys 14 balloons. 3 are red, 4 are white, and the rest are blue. what is the ratio of blue balloons to the total number of balloons a. 1/2 b. 2 to 1 c. 11:14
The ratio of blue balloons to the total number of balloons a. 1/2.
To find the ratio of blue balloons to the total number of balloons, firstly we need to find the number of blue balloons. Performing addition and subtraction for the same as follows -
Total number of balloons = Number of blue balloons + number of red balloons + number of white balloons
Number of blue balloons = 14 - (3 + 4)
Number of blue balloons = 14 - 7
Number of blue balloons = 7
Ratio = Number of blue balloons to the total number of balloons
Ratio = 7:14
Performing division of both digits by 7
Ratio = 1:2
Hence the ratio of blue balloons to the total number of balloons a. 1/2.
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Help is needed folks plz will give brainiest!
Answer:
I belive the answer is F
Step-by-step explanation:
In question/ option F it tells us that she started with 12 bannanas before getting 4 more bunchs, the question then asks how many bannanas were in each bunch, which then added plus 12 would of gotten you 32 bannans.
F
Step-by-step explanation:
G makes no sense, it says 5 bunches when there is 4x. H makes no sense, x will equal to 5. J makes no sense, 32 is the total.
suppose iq scores are normally distributed with μ = 100 and σ = 15. what percent of iq scores are between 85 and 130?
If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, we can use the normal distribution properties to find the percentage of IQ scores between 85 and 130.
Specifically, we can standardize the scores and use a normal distribution table or calculator to find the area under the curve between the z-scores corresponding to 85 and 130.To find the percentage of IQ scores between 85 and 130, we first need to standardize the scores by subtracting the mean and dividing by the standard deviation. This gives:
z1 = (85 - 100) / 15 = -1.00
z2 = (130 - 100) / 15 = 2.00
We can then use a normal distribution table or calculator to find the area under the curve between these two z-scores. For example, using a standard normal distribution table, we can find that the area to the left of z = -1.00 is 0.1587 and the area to the left of z = 2.00 is 0.9772. Therefore, the area between these two z-scores is:
0.9772 - 0.1587 = 0.8185
This means that approximately 81.85% of IQ scores are between 85 and 130. Alternatively, we can use a normal distribution calculator to find the same result. For example, using an online calculator, we can input the mean (100), standard deviation (15), and the lower and upper limits (85 and 130) and obtain a probability of 0.8185, or 81.85%.
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PLEASE HURRY!!!!!!!!!!!!!!!!!
Insert two geometric means between 729 and 64
Answer:
324 and 144
Step-by-step explanation:
We require
a₁, a₂, a₃, a₄
where a₂ and a₃ are the required geometric means
The n th term of a geometric sequence is
\(a_{n}\) = a₁\((r)^{n-1}\)
where a₁ is the first term and r the common ratio
Here a₁ = 729 and a₄ = 64, thus
729(r³) = 64 ( divide both sides by 729 )
r³ = \(\frac{64}{729}\) ( take the cube root of both sides )
r = \(\sqrt[3]{\frac{64}{729} }\) = \(\frac{4}{9}\) , then
a₂ = 729 × \(\frac{4}{9}\) = 81 × 4 = 324
a₃ = 324 × \(\frac{4}{9}\) = 36 × 4 = 144
Thus
729, 324, 144, 64
Which of the following represents a rotation of △EFG, which has vertices E(4,−3), F(−7,5), and G(2,8), about the origin by 180°?
Using translation concepts, the vertices of the rectangle after the translation about the origin by 180° will be as follows:
E'(-4,3), F'(7,-5) and G(-2,-8).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The rule for a rotation of 180º about the origin is:
(x,y) -> (-x,-y).
Hence, for triangle EFG, the vertices after the translation will be given as follows:
E'(-4,3), F'(7,-5) and G(-2,-8).
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Answer:
Step-by-step explanation:
pretty easy i just need to know if i put these in the right order please help !
Answer:
the cone is not a prism, as it is not a cylinder. the star prism(lookimg like thing) is. alsp it is circular so it cannot be a prism(like the cylinder)
Find the measurements of X
pt
Answer:
x = 15°
Step-by-step explanation:
the inscribed angle APB is half the measure of the central angle AOB , so
x = \(\frac{1}{2}\) × 30° = 15°
The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:
Candy Bars 3
5
Total Cost $6.65
8
$10.45 $16.15
12
$23.75
15
$29.45
20
$38.95
25
$48.45
Based on the data in the table, find the slope of the linear model that represents the cost
of the candy per bar: m =
Answer:
The slope of a linear model can be calculated using the formula:
m = Δy / Δx
where:
Δy = change in y (the dependent variable, in this case, total cost)
Δx = change in x (the independent variable, in this case, number of candy bars)
This is essentially the "rise over run" concept from geometry, applied to data points on a graph.
In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.
Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).
Δy = $48.45 - $6.65 = $41.8
Δx = 25 - 3 = 22
So the slope m would be:
m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar
This suggests that the cost of each candy bar is $1.9 according to this linear model.
Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.
analytics is often described as the study of historical data to
Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.
Analytics is often described as the study of historical data to extract insights and make informed decisions. It involves the collection, processing, and analysis of data to discover patterns, identify trends, and gain insights into business operations. By examining data sets, analytics can help businesses identify areas of improvement, optimize performance, and increase efficiency. Analytics tools and techniques can be used across many different fields, including finance, marketing, healthcare, and sports. In finance, analytics can be used to analyze market trends and predict future outcomes. In marketing, analytics can help businesses identify customer behavior patterns and optimize marketing campaigns. In healthcare, analytics can help identify patterns in patient data and improve healthcare outcomes. In sports, analytics can be used to analyze player performance and predict game outcomes.
Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.
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Plz show work if ya can so I can understand this thanks
Answer:
area = 57√3 cm²
Step-by-step explanation:
lower polygon:
14-8 = 6, 6/2 = 3
3 is the base of the lower left triangle
cos 60° = 3/hypotenuse
hypotenuse = 6
height of triangle² = 6² - 3² = 45
height of triangle² = 36 - 9 = 27
height of triangle = √27 = √(9 x 3) = 3√3
area of lower polygon = 1/2(8+14)(3√3) = 33√3 cm²
upper parallelogram:
area = 8(3√3) = 24√3 cm²
total area = 24√3 + 33√3 = 57√3 cm²
Serenity filled up her car with gas before embarking on a road trip across the country. Let � G represent the number of gallons of gas remaining in her gas tank after driving for � t hours. A graph of � G is shown below. Write an equation for � G then state the � y-intercept of the graph and determine its interpretation in the context of the problem.
The equation is: G = -⁵/₄t + 15
The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.
How to find the linear equation of the graph?The formula for the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
From the graph, we see that:
y-intercept = 15 gallons
Now, the slope is gotten from the formula:
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope = (10 - 5)/(4 - 8)
Slope = -⁵/₄
Thus, equation is:
G = -⁵/₄t + 15
The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.
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the score you get is the score you earn in the gradebook. you have unlimited attempts. the test is still on Friday.
MATH
NATION
Question 1 of 3
1
Your parents gave you $225 to spend on a weeklong school trip. You have budgeted $23 per day for snacks and souvenirs.
Complete the equation to represent this situation, where y is the amount of spending money you have left in your budget and is the number of
days you have been on the trip.
2
3
x+
Answer:
y = -23x+225
Step-by-step explanation:
Bugdet=spending
225 is the y-intercept and 23 is the slope or amount spent per day.
Is (- 2, 2) a solution to the system y - x = - 4 and -3x - 2y =
- 10?
• No, because (- 2, 2) is a solution to only one equation.
• Yes, because (- 2, 2) is a solution to both equations.
•Yes, because ( - 2, 2) is a solution to one equation.
•No, because ( - 2, 2) is a solution to neither equation.
(-2, 2) is not a solution to the system of equations y - x = -4 and
-3x - 2y = -10.
Option D is the correct answer.
We have,
We can check whether (-2, 2) is a solution to the system by substituting the values of x and y into both equations and verifying whether they are true.
y - x = -4:
(2) - (-2) = -4
4 = -4
This is false, so (-2, 2) is not a solution to the first equation.
-3x - 2y = -10:
-3(-2) - 2(2) = -10
6 - 4 = -10
2 = -10
This is also false, so (-2, 2) is not a solution to the second equation.
Therefore,
(-2, 2) is not a solution to the system of equations y - x = -4 and
-3x - 2y = -10.
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Matthew Westhoven deposited $925 in a new regular savings account that earns 5.5% interest compounded semiannually for 1 year. What is the compound interest?
Answer: The compound interest on a savings account is calculated by multiplying the principal (initial amount deposited) by the interest rate, and then multiplying that result by the number of compounding periods.
In this case, the principal is $925, the interest rate is 5.5%, and the number of compounding periods is 2 (since the interest is compounded semiannually).
To calculate the compound interest, we can use the following formula:
Compound interest = principal * (1 + interest rate/number of compounding periods)^(number of compounding periods * number of years) - principal
Plugging in the values from the problem, we get:
Compound interest = $925 * (1 + 5.5%/2)^(2 * 1) - $925
= $925 * 1.0275^2 - $925
= $925 * 1.056 - $925
= $973.44 - $925
= $48.44
Therefore, the compound interest on Matthew's savings account is $48.44.
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
R
:
T
D
A. ZDTN and ZATP
B. ZRTP and ZATB
C. ZATN and ZRTD
D. BTD and ZATP
HELPPPPPP
The statements that must be true are:
B. FH ≅ GH
D. <DHF is a right angle
E. H is the midpoint of FG
What is a perpendicular bisector?
A perpendicular bisector is a straight line which partitions a given line segment into two equal parts. As such, it is at a right angle to the bisected line segment.
From the given diagram, given that line DE is the perpendicular bisector of line segment FG, then the statements that must be true are:
B. FH ≅ GH
D. <DHF is a right angle
E. H is the midpoint of FG
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i need major help but y’all don’t help
Answer:
What is the question
Step-by-step explanation: