Answer:
8
Step-by-step explanation:
(4x-2)+(1/2xy-10)
4(4-2)+1/2(4*6-10)
8-2+2(6-10)
6+12-10
18-10
8
The required value would be 8 of the given expression (4x-12)+(1/2xy-10) for x = 4 and y = 6.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have been given that expression as
⇒ 4x - 12 + 1/2xy - 10
Substitute the values of x=4 and y=6 in the above expression,
⇒ 4×4 - 12 + 1/2(4×6) - 10
Apply the multiplication operation,
⇒ 16 - 12 + 1/2(24) - 10
⇒ 4 + 12 - 10
⇒ 8
Therefore, the required value would be 8 of the given expression (4x-12)+(1/2xy-10) for x=4 and y=6.
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If a translation takes triangle CAT to C'A'T', what is A'T'?
triangle CAT with vertex A at negative 2 comma 1, vertex T at negative 1 comma 4 and vertex C at 0 comma 0, side AT has a measure of square root of 10 units, side TC has a measure of square root of 17 units, and side AC has a measure of square root of 5 units
square root of 10
square root of 17
square root of 5
Cannot be determined
Answer:
square root of 10
Step-by-step explanation:
since triangle CAT with vertex A at negative 2 comma 1, vertex T at negative 1 comma 4 and vertex C at 0 comma 0, side AT has a measure of square root of 10 units, side TC has a measure of square root of 17 units, and side AC has a measure of square root of 5 units, therefore the square root will be 10
The length of A'T' is √10
What is translation?Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
Given:
TC = √17
AC = √5
AT = √10
as, ΔCAT with vertices A(-2, 1)
T (1, 4) and C(0, 0) .
so, there is translation without any shifting in terms of up and down.
Hence, the length of A'T' also be as AT = √10 units.
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HELP PLEASE I NEED A ANSWER ASAP
Answer:
5x+6+48+81=180°
5x+135=180
5x=45
x=9
Step-by-step explanation:
I HOPE it will help you
Answer:
answer is 9
Step-by-step explanation:
48+81=129
180-129=51
51-6=45
45/5=9
1) You are planning a school car wash fund raising. The equipment costs $150 to purchase. You plan to
charge $5 per car You would like to make a profit of at least 5500
Answer:
1130 cars need washed
Step-by-step explanation:
you plus $150 to how $5500 which equals $5650 then you divide $5650 divide $5 which is 1130 cars so to make a profit of $5500 you need to wash 1,130 cars
Obtain all zeroes of the polynomial x4 + 2x3 – 25x2 – 26 x + 120, if two of its zeroes are 2 and 4.
Answer:
x=-5, 2, 4, -3
Step-by-step explanation:
Factor and you get:
(x−2)(x+3)(x−4)(x+5)
Answer: the zeros are x = {-5, -3, 2, 4}
Step-by-step explanation:
x⁴ + 2x³ - 25x² - 26x + 120 = 0
Given: x = 2 and x = 4
Use synthetic division to find the reduced polynomial for x = 2 and then x = 4
2 | 1 2 -25 -26 120
| ↓ 2 8 -34 -120
1 4 -17 -60 0 ← remainder
4 | 1 4 -17 -60
| ↓ 4 32 60
1 8 15 0 ← remainder
1x² + 8x + 15 = 0
(x + 5) (x + 3) = 0
x + 5 = 0 x + 3 = 0
x = -5 x = -3
The zeros are: x = 2, x = 4, x = -5, and x = -3
joe wants to find all the four-letter words that begin and end with the same letter. how many combinations of letters satisfy this property?
Answer: There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.
Step-by-step explanation:
This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)
so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.
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9th grade
Which of the following correctly translates this equation?
5x - 7=3
o
Seven times a number decreased by 5 is 3
o Seven minus the product of 5 and a number is 3
o Seven less than 5 times a number is 3
o Five minus the product of 7 and a number is 3
Answer:
May be the second one
Step-by-step explanation:
hope it'll help ☺️
The correct translation of the equation 5x - 7 = 3 is "Seven less than 5 times a number is 3."
This translation accurately reflects the given equation. The term "5 times a number" represents 5x, indicating that the number is multiplied by 5. The term "Seven less than" signifies that 7 is subtracted from the result of 5 times a number. Finally, the phrase "is 3" states that the resulting expression is equal to 3. Therefore, the translation "Seven less than 5 times a number is 3" captures the essence of the equation 5x - 7 = 3 in a concise and accurate manner.
Therefore, The correct translation of the equation 5x - 7 = 3 is "Seven less than 5 times a number is 3."
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10.35 = 3(t − 10.3)
just need the answer
Answer:
t=13.75
Step-by-step explanation:
Sausages come in packets of 10. Bread rolls come in packets of 15. Dan wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
He needs to take the LCM of 15 and 10. ( LCM = 30 )
15 × 2 = 30
10 × 3 = 30
Therefore,
Dan has to buy -
3 packets of sausages
AND
2 packets of bread rolls
Answer:
Minimum 2 packets of sausage and 3 packets of roll can be bought in same cost.
Step-by-step explanation:
Minimum number of packets of sausages and roll brought which cost same.
Solution:
1) The cost of sausage packets is ₹10.
The cost of roll packets is ₹15.
2) If we want to make the cost of both roll same then we have to take the LCM of 10,15
LCM[10, 15] = 30
3) In ₹30 we can buy 3 packets of sausage and ₹30 we can buy 3 packets of roll.
Which situation best represents the following equation
6x > 50 + 2.8
Answer: number 3 i think
Step-by-step explanation:
John bought 5 notebooks for a total of $10. Which equation could be used to calculate the cost of the notebooks, y, based on the number
of notebooks purchased, x?
A field is 80m long and 60m wide. Find the ratio of its width to its length.
Answer:
Length of field = 80m
Width of field = 60m
Therefore, required ratio = 60
80
cut 0 by 0
cut 6 and 8 from 2
3
4
Step-by-step explanation:
I Hope it helps!I ate dinner at my favorite restaurant, The Lazy Dog
Cafe. My bill came to $27.60 and I left a 20% tip. What
was the total I paid?
27
Answer:
The total that you paid was $33.12
Step-by-step explanation:
The tip was 20% of 27.60 so,
20/100 = x/27.60 = (0.2)(27.60) = x
x = 5.52
hence the tip was $5.52
so the total that you paid was,
Total = bill + tip
Total = 27.6 + 5.52
Total = $33.12
Answer: 33.12
20% of 27.60 is 5.52, so add 5.52 to 27.60.
(5pts) Please help!!!!
Answer:
(-5,5)
Step-by-step explanation:
It went right one and up four, so it has to do that again.
(-5,5)
One week Michaela earned 142.20 at her job when she worked for six hours if she is paid the same hourly wig how many hours would she have to work the next week to earn 829.50?
Answer:
she should have to work 35 hours a week
Evaluate the following: −3 − (−6). (5 points) −3 −18 −9 3
Answer:
3
Step-by-step explanation:
Step 1: Write expression
-3 - (-6)
Step 2: Simplify
-3 + 6
Step 3: Combine
3
Answer:
hope it helps
Step-by-step explanation:
Rank Topic Problem Formatted Problem
1 Factor x^2‑4 x2−4x2‑4
2 Factor 4x^2+20x+16 4x2+20x+164x2+20x+16
3 Graph y=‑x^2 y=−x2y=‑x2
(b) You're an analyst for a renowned organization. The organization is considering a new manufacturing plant in Rajshahi, Dhaka, Comilla, or Chittagong. Fixed costs per year are $30k,$100k, $60k, and $110k, respectively. Variable costs per product are $45,$75, \& $35, and $60, respectively. Identify the range in volume over which each location would be best. If the price per product is $150,$120,$100, and $90, respectively, and forecast demand per year is 20k,50k,30k, and 40k, respectively, then determine the best site.
Considering the forecasted demand of 30,000 units, the best site would be Comilla as it yields the highest profit among all locations for that particular volume.
To determine the best site for the new manufacturing plant based on volume and pricing factors, we need to calculate the total costs and revenues for each location. The location with the highest profit will be considered the best site. Let's calculate the profits for each location based on the given information:
Location: Rajshahi
Fixed cost per year: $30,000
Variable cost per product: $45
Price per product: $150
Forecast demand per year: 20,000
Total Cost = Fixed Cost + (Variable Cost per Product * Forecast Demand per Year)
Total Revenue = Price per Product * Forecast Demand per Year
Profit = Total Revenue - Total Cost
Total Cost = $30,000 + ($45 * 20,000) = $1,050,000
Total Revenue = $150 * 20,000 = $3,000,000
Profit = $3,000,000 - $1,050,000 = $1,950,000
Performing similar calculations for the other locations, we get:
Location: Dhaka
Total Cost = $100,000 + ($75 * 50,000) = $4,850,000
Total Revenue = $120 * 50,000 = $6,000,000
Profit = $6,000,000 - $4,850,000 = $1,150,000
Location: Comilla
Total Cost = $60,000 + ($35 * 30,000) = $1,110,000
Total Revenue = $100 * 30,000 = $3,000,000
Profit = $3,000,000 - $1,110,000 = $1,890,000
Location: Chittagong
Total Cost = $110,000 + ($60 * 40,000) = $2,510,000
Total Revenue = $90 * 40,000 = $3,600,000
Profit = $3,600,000 - $2,510,000 = $1,090,000
Based on the calculated profits, we can determine the range in volume over which each location would be best:
Rajshahi: The best site for a volume range up to 20,000 units.
Dhaka: The best site for a volume range between 20,001 and 50,000 units.
Comilla: The best site for a volume range between 50,001 and 30,000 units.
Chittagong: The best site for a volume range above 30,000 units.
Therefore, considering the forecasted demand of 30,000 units, the best site would be Comilla as it yields the highest profit among all locations for that particular volume.
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can someone answer this ? i will give you the brainlest points
Answer:
4
Step-by-step explanation:
Order The Angles From Smallest To Largest
Answer: angle U, angle T, and then angle V.
Step-by-step explanation:
The shortest angle will be opposite to the smallest line segment.
The bigger angle will be opposite to the longest line segment...
I think this theorem is called "Longest and shortest sides of triangles"
Please mark this as brainliest answer..
a number of students were asked to name their favorite sport 1/4 of the students said tennis 1/8 said football and the rest said swimming what is the fraction of swimming?
Answer:
5/8; swimming
Step-by-step explanation:
1/4=2/8
2/8+1/8=3/8
8/8-3/9=5/8
What is 8% of 200?
25
4
16
8
Answer:
16
Step-by-step explanation:
Please mark brainliest!
A customer comes looking for items to get started painting. Neylin offers her a paint pallet, a paint brush, and a sketch book. She tells the customer that if she buys all three, she will give her a 15% discount. Approximately how much will the customer save? Round your answer to the nearest cent. Use percent proportion to solve the problem
please help me wit dis someone im begging :(
Answer:
(- 1, 0 )
Step-by-step explanation:
For the relation to be a function
Each value of x can only relate to exactly one unique value of f(x).
From the table
- 1 → - 4
Thus - 1 → 0
Means - 1 would map to 2 values of f(x)
This means the relation would no longer be a function.
PLZ QUICKLY HELP MEEE For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear green and white. What percent of the school population did NOT wear their school colors?
Question 17 options:
33%
20%
25%
15%
Answer:
20 percent
Step-by-step explanation:
Add 300 to 1200 to get 1500 and then divide 300/1500 to get 20
The percent of the school population, who wore their school colors is; 20%
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that 1,200 students wore their school colors of green and white.
Also, we are given he that 300 students did not wear school colours green and white.
Thus, the total number of students = 1200 + 300 = 1500
Therefore, The percent of the school population, who wore their school colors is;
= (1200/1500) × 100%
= 20%
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Calculate the Y* coordinate of the weighted center of gravity
for the new fire station, based on the information provided.
b. Other factors such as available space, zoning
considerations, and
The city of Green Valley, Arizona, is trying to determine where to locate a new fire station. The fire station is expected to serve four neighborhoods. Click the icon to view the locations and number
To calculate the Y* coordinate of the weighted center of gravity for the new fire station, we need additional information regarding the locations and population sizes of the four neighborhoods in Green Valley, Arizona. Once we have this information, we can calculate the weighted center of gravity by considering the population of each neighborhood as the weight and using the formula Σ(xi * wi) / Σwi, where xi represents the Y-coordinate of each neighborhood and wi represents the population weight.
In order to calculate the Y* coordinate of the weighted center of gravity for the new fire station, we require the Y-coordinates and population sizes of the four neighborhoods in Green Valley, Arizona. With this information, we can proceed to calculate the weighted center of gravity using the following formula:
Y* = Σ(xi * wi) / Σwi
where xi represents the Y-coordinate of each neighborhood and wi represents the population weight of each neighborhood.
The Y* coordinate obtained will represent the vertical position of the weighted center of gravity. It indicates the optimal location for the new fire station, taking into account the population distribution in the area.
However, since the exact locations and population sizes of the neighborhoods have not been provided, it is not possible to calculate the Y* coordinate of the weighted center of gravity in this scenario. To determine the optimal location for the fire station, the city of Green Valley, Arizona, would need to gather the necessary data on neighborhood locations and population sizes, and then apply the formula mentioned above.
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Imani won 50 super bouncy balls playing
hoops at her school's game night. Later,
she gave three to each of her friends. She
only has 2 remaining. How many friends
does she have?
Answer:
16
Step-by-step explanation:
50-2= 48
48 divide by 2 is 16
Find a matrix P such that P TP orthogonally diagonalizes A.
Verify that P TP gives the correct diagonal form
[5.3 -11 A=0 0 2 lo 2 0 7. (20%) Find a matrix P such that PAP orthogonally diagonal Ath PT AP gives the correct diagonal form 19 30 01 3900 0093
To orthogonally diagonalize a matrix A, we need to find a matrix P such that [tex]P^TAP[/tex] is a diagonal matrix. In this case, the given matrix A is:
A = [5, 3, -11 ]
[ 0, 2, 0 ]
[2, 0, 7 ]
First, we find the eigenvalues λ of the matrix A by solving the characteristic equation det(A - λI) = 0, where I is the identity matrix. The characteristic equation becomes:
det([[5-λ, 3, -11],
[0, 2-λ, 0], = 0
[2, 0, 7-λ]])
Expanding this determinant equation and solving for λ, we find the eigenvalues:
λ_1 = 2
λ_2 = 5
λ_3 = 7
Next, we need to find the eigenvectors corresponding to each eigenvalue. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector. By solving these equations, we obtain the eigenvectors:
For λ_1 = 2, the eigenvector v_1 = [1, 0, -1]
For λ_2 = 5, the eigenvector v_2 = [1, 0, 1]
For λ_3 = 7, the eigenvector v_3 = [11/5, 0, 1]
We normalize these eigenvectors to have unit lengths.
Now, we construct the matrix P using the eigenvectors as its columns:
P = [[1, 1, 11/5]
[0, 0, 0]
[-1, 1, 1]]
Finally, we calculate [tex]P^TAP[/tex] to verify that it gives the correct diagonal form. The matrix [tex]P^TAP[/tex] should be a diagonal matrix with the eigenvalues on its diagonal. Evaluating[tex]P^TAP[/tex], we obtain:
[tex]P^TAP[/tex] = [2, 0, 0]
[0, 5, 0]
[0, 0, 7]
which confirms that P orthogonally diagonalizes A, and the diagonal entries are indeed the eigenvalues of A.
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what is (f−g)(x)? f(x)=3x5 6x2−5 g(x)=2x4 7x2−x 16 enter your answer in standard form in the box.
Answer:
(f - g)(x) = 3x^5 - 2x^4 - x^2 + x - 11 in standard form.
Step-bystep-Explanation:
To find (f - g)(x), we need to subtract the function g(x) from the function f(x) by subtracting the corresponding terms.
Given:
f(x) = 3x^5 + 6x^2 - 5
g(x) = 2x^4 + 7x^2 - x + 16
To find (f - g)(x), we subtract each term of g(x) from the corresponding term of f(x):
(f - g)(x) = (3x^5 - 2x^4) + (6x^2 - 7x^2) + (-5 - (-x)) - 16
Simplifying this expression, we get:
(f - g)(x) = 3x^5 - 2x^4 + 6x^2 - 7x^2 + (5 + x) - 16
Combining like terms, we have:
(f - g)(x) = 3x^5 - 2x^4 - x^2 + x - 11
Therefore, (f - g)(x) = 3x^5 - 2x^4 - x^2 + x - 11 in standard form.
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if we select 4 young american men at random, what is the probability that they are all 68 inches or shorter (that is, each one of them is 68 inches or shorter)? enter your answer as a numerical value rounded to three decimal places (for ex., 0.111, no text).
The estimated probability that all four randomly selected young American men are 68 inches or shorter is approximately 0.004 or 0.4%.
To calculate the probability that all four randomly selected young American men are 68 inches or shorter, we need to consider the probability for each individual man and multiply them together.
Let's assume that the probability of an individual young American man being 68 inches or shorter is p. Since we are selecting four men at random, the probability of each man being 68 inches or shorter is the same, and we can multiply their probabilities together.
The probability of one man being 68 inches or shorter is p. Therefore, the probability of all four men being 68 inches or shorter is p × p × p × p = p^4.
However, we are not given the specific value of p in the problem statement. If we assume that the height of young American men follows a normal distribution, we can look up the corresponding z-score for a height of 68 inches or shorter and use the standard normal distribution to estimate the probability.
For example, if we find that a height of 68 inches corresponds to a z-score of -1.0, we can use a standard normal distribution table or a calculator to determine the probability of a z-score less than or equal to -1.0. Let's say this probability is approximately 0.1587.
Therefore, the estimated probability that all four randomly selected young American men are 68 inches or shorter would be (0.1587)^4 = 0.004.
Thus, the probability is approximately 0.004 or 0.4% rounded to three decimal places.
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Which polygons are similar to polygon A?
Answer:
b c e d.
Step-by-step explanation:
because it sounds rights
Answer:
Step-by-step explanation:
2
Suppose Zoe worked overtime at her job during a recent pay period, which is considered beyond 40 hours. Let the function P(t)=36t+960 represent the gross pay in dollars for Zoe as a function of the number of overtime hours worked, t. What do the slope and y-intercept of P(t) represent in this situation? Select the two correct answers.
The slope represents Zoe earning $36 for each hour worked in the first 40 hours of the pay period.
The y-intercept represents Zoe has a gross pay of $36 when she works 0 hours for the pay period.
The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.
The slope represents Zoe earning $36 for each hour of overtime.
The y-intercept represents Zoe has $960 of gross pay when she works a total of exactly 40 hours for the pay period.
Answer: The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.
The slope represents Zoe earning $36 for each hour of overtime.
Step-by-step explanation:
Given: The function P(t)=36t+960 represent the gross pay in dollars for Zoe as a function of the number of overtime hours worked, t.
For y-intercept , put t= 0 , we get
P(0)=0+960=960
As per situation, The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.
Slope is the scaler multiple of independent variablein linear equation[like m in y=mx+c] which is t here .
So, slope = 36
And The slope represents Zoe earning $36 for each hour of overtime.
Answer:
The y-intercept represents Zoe has $960 of gross pay when she works 0 hours for the pay period.
The slope represents Zoe earning $36 for each hour of overtime.
Step-by-step explanation:
