Answer:
9/25 = 36%
Step-by-step explanation:
First add up all of the students (150)
Then divide 54 by 150, 0.36
0.36 = 36% = 9/25
What is 0.¯47 expressed as a fraction in simplest form?
Answer:
The answer would be 47/99
Step-by-step explanation:
Adam is helping make mashed potatoes for Thanksgiving. He plans to add 4 fluid ounces of heavy cream to his potatoes. If he buys 1-pint carton, how many fluid ounces will he have left?
Right answer gets brainliest!! :)
Question 3 of 12Which algebraic expression represents this mathematical statement?The product7 and a numberO A. n-7O B. 7.nO C. 7 + nO D, n+7SUBMIT
DEFINITIONS
Algebraic word problems are questions that require translating sentences to equations. The equations we need to write will only involve basic arithmetic operations and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.
SOLUTION STEPS
Step 1: Name the variable.
The variable, in this case, is n.
Step 2: Identify the mathematical operation in this mathematical statement.
Product refers to multiplication. Therefore, we will be using the multiplication operation for the question.
Step 3: Write out the algebraic expression for the statement: "The product of 7 and a number".
Since we are representing the number with n, the product of n and 7 will be given to be:
\(\Rightarrow7\cdot n\)ANSWER:
The correct option is OPTION B.
The first four terms in an arithmetic sequence are -3,-10,-17 and -24.which expression can be used to find the nth term? what is the 25th term of the sequence
A).-7(n-1);-168
B).-3+(n-1)(-7);-171
C).-3+(n-1)(-7);-185
D).3+(n-1)(-7);-165
Answer:The answer is B) -3+(n-1)(-7);-171
Step-by-step explanation:
Name each level of measurement for which data can be qualitative.
Select all the levels of measurement for which data can be qualitative.
A. Nominal Your answer is correct.
B. Ratio
C. Interval
D. Ordinal
Answer:
qualitative and ordinal.
Step-by-step explanation:
They are both two types of qualitative data under Categorical data.
Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.
What is level of measurement?A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.
This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.
Therefore, the correct option is option A, D.
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3(10 + 2) could be used to simplify which of the following problems? 130(26) 13(12) 13(20)
Answer:130(26).
Step-by-step explanation: It could basically be used to simplify 130(26) because if you multiply the number on the outside of the parentheses (13) with the numbers inside the parenthesis(10+2), you will get 130(26).
assign sum extra with the total extra credit received given list test grades. full credit is 100, so anything over 100 is extra credit.
To assign the sum of extra credit received to the total extra credit, you need to follow these steps:
1. Make a list of all the test grades, and mark the ones that have extra credit with a "+" sign. For example, if the test scores are: 95, 110+, 80, 120+, 100, you would mark the 110+ and the 120+.
2. Add up all the extra credit marks. In this example, that would be 110 + 120 = 230.
3. Count the number of extra credit marks. In this example, there are two.
4. Multiply the number of extra credit marks by the maximum extra credit value. If full credit is 100, then the maximum extra credit value is the amount that a student can exceed the maximum score by. In this case, that would be 20 (since 120 - 100 = 20). So, 2 x 20 = 40.
5. Add the extra credit value to the total score. In this example, the total score is 505 (95 + 110 + 80 + 120 + 100). So, you would add 40 to that to get 545.
Therefore, the answer is: To assign sum extra with the total extra credit received given list test grades, you need to add the extra credit value to the total score by multiplying the number of extra credit marks by the maximum extra credit value, and then adding that value to the total score.
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Explain your work please.
A recipe requires 1 cup of sugar to 4 cups of water. How many cups of sugar to 1 cup of water?
Answer:
1/4 cups of sugar
Step-by-step explanation:
just divide the amount of water by for go get the amount of sugar
A manufacturer of lighting Tutures has alruction of C-100 - 10+ 0.35 where the total cost in dolar) is the beruf units produced widely in the most Need Halo?
The rate at which the profit is changing with respect to x when (b + 1) thousand units are produced is -20ab - 20a + 100b.
To find the derivative of the function P(x) = -10ax² + 100bx - 1200 using the limit definition, we need to evaluate the following limit:
f'(x) = lim(h->0) [P(x + h) - P(x)] / h
Let's calculate the derivative step by step:
(A) Finding the derivative using the limit definition:
P(x + h) = -10a(x + h)² + 100b(x + h) - 1200
= -10ax² - 20ahx - 10ah² + 100bx + 100bh - 1200
Now, subtract P(x):
P(x + h) - P(x) = (-10ax² - 20ahx - 10ah² + 100bx + 100bh - 1200) - (-10ax² + 100bx - 1200)
= -20ahx - 10ah² + 100bh
Divide by h:
[P(x + h) - P(x)] / h = (-20ahx - 10ah² + 100bh) / h
= -20ax - 10ah + 100b
Now, take the limit as h approaches 0:
lim(h->0) [P(x + h) - P(x)] / h = lim(h->0) (-20ax - 10ah + 100b)
= -20ax + 100b
Therefore, the derivative of P(x) with respect to x is f'(x) = -20ax + 100b.
(B) To find the rate at which the profit is changing with respect to the level of production x when (b + 1) thousand units are produced, substitute x = b + 1 into the derivative:
f'(b + 1) = -20a(b + 1) + 100b
= -20ab - 20a + 100b
Hence, the rate at which the profit is changing with respect to x when (b + 1) thousand units are produced is -20ab - 20a + 100b.
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A manufacturer determines that when x thousand units of a particular commodity are produced, the profit generated will be
P(x) = -10ax² + 100bx - 1200 dolars, (A) Find the derivative of the function by using limit definition. (B) At what rate is profit changing with respect to the level of the production x when (b + 1) thousand units are produced?
Four stores are having a sale on video games. Circuit Shop is selling 6 games for $24.72. Electronic Center is selling 5 games for $20.50. Game Shop has 8 games for $32.00, and Cyber Central has 4 games for $17. Which store has the best deal?
A - Cyber Central
B - Electronic Center
C - GameShop
D - Circuit Shop
Answer: Its gameshop its being sold for only 4 dollars each
Step-by-step explanation:
you divide each sum of money by the amount of games and that tells you X the price per game
In the figure shown, m∠ABD=8x−28 and m∠DBC=4x+10.
What is the measure of ∠DBC?
Enter your answer in the box.
m∠DBC=_____
I will mark brainliest to correct please don't answer just for points! i seriously need help!
In geometry, the segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Can someone help me out
Answer:x value is 25
Answer:
30
Step-by-step explanation:
x=30
2x=60
3x=90
30+60+90=180 degrees
please view math question and help!!
Carlos has chosen twelve different compact discs (CDs) he would like to buy. Four are rap music, five are country music, and three are heavy metal music. Carlos then randomly selects five of the 12 CDs to purchase. What is the probability that his purchase includes at least one CD from each of the three categories
Answer:
185/198
Step-by-step explanation:
Since the are 12 Cd and we require them to be selected in 5 ways, the number of selections is ¹²C₅ = 12 × 11 × 10 × 9 × 8/5! = 95040/120 = 792 ways
Since we have Four are rap music, five are country music, and three are heavy metal music, the number of ways to select them in groups of five so as to have at least one of each CD from each category, we have
For the first selection 3 of one category, and 1 each of the other categories.
The second selection is 2 each of two categories and 1 of the last category.
So, doing this for each category, we have
⁴C₃ × ⁵C₁ × ³C₁ + ⁴C₂ × ⁵C₂ × ³C₁ + ³C₃ × ⁴C₁ × ⁵C₁ + ³C₂ × ⁴C₂ × ⁵C₁ + ⁵C₃ × ⁴C₁ × ³C₁ + ⁵C₂ × ³C₂ × ⁴C₁
= (4 × 3 × 2/3! × 5 × 3) + (4 × 3/2! × 5 × 4/2! × 3) + (1 × 4 × 5) + (3 × 2/2! × 4 × 3/2! × 5) + (5 × 4 × 3/2! × 4 × 3) + (5 × 4/2! × 3 × 2/2! × 4)
= 360/6 + 720/4 + 20 + 360/4 + 720/2 + 120/4
= 60 + 180 + 20 + 90 + 360 + 30
= 740 ways
So, the required probability is P = number of ways of selecting at least one CD/ total number of ways = 740/792 = 185/198
Hello people ~
factorise: : x^2 – 21x + 108
\(\\ \rm\rightarrowtail x^2-21x+108\)
Use midterm splitation\(\\ \rm\rightarrowtail x^2-12x-9x+108\)
\(\\ \rm\rightarrowtail x(x-12)-9(x-12)\)
\(\\ \rm\rightarrowtail (x-9)(x-12)\)
Done!
a least squares regression line . a.may be used to predict a value of y if the corresponding x value is given b.implies a cause-effect relationship between x and y c.can only be determined if a good linear relationship exists between x and y d.is only used for positively correlated data
The least square regression line implies a mathematical equation that models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given. The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope-intercept form.The predicted value of y or x if the corresponding value of either variable is given.
what is regression?
A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.
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Which storm is likely to cause quick destruction along a narrow path?
hurricane
thunderstorm
tornado
Answer:
tornado bc they are narrow and can cause great destruction :) hope I helped !
A tornado is the storm that is likely to cause quick destruction along a narrow path.
What is storm?A storm is any disturbed state of the natural environment or the atmosphere of an astronomical body.
Tornadoes are characterized by their rapidly rotating column of air that extends from the base of a thunderstorm to the ground.
They can cause widespread damage and destruction within a very short period, along a narrow path that can be just a few meters wide.
While hurricanes can produce powerful winds and storm surge that can cause significant damage and destruction, their effects are spread over a larger area, including a broad swath of coastal areas.
Thunderstorms can also produce damaging winds, hail, and flash flooding, but they usually affect smaller areas compared to hurricanes or tornadoes.
Hence, tornado is the storm that is likely to cause quick destruction along a narrow path.
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Given parallelogram L M N O below, LP = 81 If PN = -7x-3 solve for x
Answer:-12x
Step-by-step explanation:
just trust me on this
Algebra 2:
A boy has five-dollar coins and y ten dollar coins. There are 8 coins altogether and their total value is $55. How many of each coins do he have?
no links they don't open.
Answer:
5 five-dollar coins and 3 ten-dollar coins
Step-by-step explanation:
10x3=30
5x5=25
30+25=55
PLEASE HELP ME SOLVE
Seacausus stadium has a seating capacity for 25,000 spectators. The stadium has 25 exits and can be vacated in 20 minutes. The time taken to exit the stadium varies directly with the number of spectators and inversely with the number of exits. Determine the time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional.
The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .
In the question ,
it is given that
the time taken to vacate the stadium = 20 minutes
number of exits = 25 exits
capacity of the stadium = 25000 spectators .
given that ,
time taken to exit the stadium varies directly with number of spectators and inversely with the number of exits .
time taken ∝ number of spectators ∝ 1/number of exits .
to remove the proportionality sign , we write the constant
time taken = k * (number of spectators)/(number of exits) .
20 = k * 25000/25
20 = k * 1000
k = 20/1000
k = 2/100
k = 1/50 = 0.02
So, to find the time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional , we use the formula
time taken = (0.02)*(21000/15)
= 0.02*1400
= 28
Therefore , The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .
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Write an equation of the graph shown in terms of cosine:
Answer:
Step-by-step explanation:
A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:
y = A * cos(B * x) + C * sin(D * x)
In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.
Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each 10K participant. Her goal is to raise $9,500. If x represents the number of participants in the 5K race and y represents the number of participants in the 10K race, the linear equation for the given scenario is x + y = .
Answer:
225
Step-by-step explanation:
(9000/45) + (500/20) =200 + 25 = 225
x=25, y=200
Answer:
Step-by-step explanation:
It is given that x is the number of participants in the 5K race and y is the number of participants in the 10K race.
20x+45y=9500
Eve makes $20 for each 5K participant and $45 for each 10K participant. She wants to raise $9,500. The linear equation below represents the given scenario.
20x+45y=9500
20(200+45y=9500
4400+45y=9500
45y=9500
y ==113.3 (curvy equal sign)
If Eve raises exactly $9,500 and there are 220 5K participants, the number of 10K participants is found as shown below.
It is not possible to have 113.3 participants in the 10K race. So, no, it is not possible for Eve to raise exactly $9,500 if there are 220 participants in the 5K race.
Sylvia and Patrick plotted the information they gathered on the weight of cars and the mileage they get. Then they each drew a line on the graph that they felt best fit the data.
Sylvia and Patrick gathered information on the weight of cars and the mileage they get, and then proceeded to plot the data on a graph.
After plotting the data points, each of them independently drew a line on the graph that they believed best represented the relationship between car weight and mileage. Drawing a line on the graph is a way to visually approximate a trend or pattern in the data. Each line likely represents their interpretation of the general trend or correlation between car weight and mileage. It's important to note that the lines drawn by Sylvia and Patrick are subjective and based on their own perception or understanding of the data. The accuracy of their lines as a representation of the actual relationship between weight and mileage would depend on the quality and quantity of the data gathered and the methodology used to analyze it.
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Which of the following is equivalent to 3^4?
1. 12
2. 81
3. 7
4. 64
Answer:
81, Option 2.
Step-by-step explanation:
\(3^{4}\) means 3 x 3 x 3 x 3, that is 3 multiplied 4 times with itself.
Here's how to do it:-
3 x 3 = 9
9 x 3 = 27
27 x 3 = 81
So, \(3^{4}\) would be 81, Option 2.
How to solve 3x+4-4=2x+8
Answer:
x=8
Step-by-step explanation:
We move all terms to the left:
3x+4-4-(2x+8)=0
We add all the numbers together, and all the variables
3x-(2x+8)=0
We get rid of parentheses
3x-2x-8=0
We add all the numbers together, and all the variables
x-8=0
We move all terms containing x to the left, all other terms to the right
x=8
Answer:
your answer is
3+4−4=2+8
3=2+8
Subtract
2from both sides of the equation
then you Simplify and you get =8
Step-by-step explanation:
PLEASE HELP DUE IN HOUR!!!!!!!
gement System Grade 0.00 out of 10.00 (0%) Plainfield Electronics is a New Jersey-based company that manufactures industrial control panels. The equation gives the firm's production function Q=-L³+15
The equation Q = -L³ + 15 represents the production function of Plainfield Electronics, where Q is the quantity of industrial control panels produced and L is the level of labor input.
In this production function, the term -L³ indicates that there is diminishing returns to labor. As the level of labor input increases, the additional output produced decreases at an increasing rate. The term 15 represents the level of output that would be produced with zero labor input, indicating that there is some fixed component of output. To maximize production, the firm would need to determine the optimal level of labor input that maximizes the quantity of industrial control panels produced. This can be done by taking the derivative of the production function with respect to labor (dQ/dL) and setting it equal to zero to find the critical points. dQ/dL = -3L². Setting -3L² = 0, we find that L = 0.
Therefore, the critical point occurs at L = 0, which means that the firm would need to employ no labor to maximize production according to this production function. However, this result seems unlikely and may not be practically feasible. It's important to note that this analysis is based solely on the provided production function equation and assumes that there are no other factors or constraints affecting the production process. In practice, other factors such as capital, technology, and input availability would also play a significant role in determining the optimal level of production.
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3. Given the following open-loop single-input, single-output four-dimensional linear time-invariant state equations, namely, ⎣
⎡
x
˙
1
(t)
x
˙
2
(t)
x
˙
3
(t)
x
˙
4
(t)
⎦
⎤
= ⎣
⎡
0
0
0
−680
1
0
0
−176
0
1
0
−86
0
0
1
−6
⎦
⎤
⎣
⎡
x 1
(t)
x 2
(t)
x 3
(t)
x 4
(t)
⎦
⎤
+ ⎣
⎡
0
0
0
1
⎦
⎤
u(t)
y(t)=[ 100
20
10
0
] ⎣
⎡
x 1
(t)
x 2
(t)
x 3
(t)
x 4
(t)
⎦
⎤
+[0]u(t)
find the associated open-loop transfer function H(s).
The transfer function H(s) is given by the ratio of the output Y(s) to the input U(s):
H(s) = Y(s)/U(s) = C(sI - A)^(-1)B + D
To find the open-loop transfer function H(s) associated with the given state equations, we need to perform a Laplace transform on the state equations.
The state equations can be written in matrix form as:
ẋ(t) = A*x(t) + B*u(t)
y(t) = C*x(t) + D*u(t)
Where:
ẋ(t) is the vector of state derivatives,
x(t) is the vector of state variables,
u(t) is the input,
y(t) is the output,
A is the system matrix,
B is the input matrix,
C is the output matrix,
D is the feedforward matrix.
Given the system matrices:
A = ⎣
⎡
0
0
0
−680
1
0
0
−176
0
1
0
−86
0
0
1
−6
⎦
⎤
, B = ⎣
⎡
0
0
0
1
⎦
⎤
, C = [100 20 10 0], and D = [0]
We can write the state equations in Laplace domain as:
sX(s) = AX(s) + BU(s)
Y(s) = CX(s) + DU(s)
Where:
X(s) is the Laplace transform of the state variables x(t),
U(s) is the Laplace transform of the input u(t),
Y(s) is the Laplace transform of the output y(t),
s is the complex frequency variable.
Rearranging the equations, we have:
(sI - A)X(s) = BU(s)
Y(s) = CX(s) + DU(s)
Solving for X(s), we get:
X(s) = (sI - A)^(-1) * BU(s)
Substituting X(s) into the output equation, we have:
Y(s) = C(sI - A)^(-1) * BU(s) + DU(s)
Finally, the transfer function H(s) is given by the ratio of the output Y(s) to the input U(s):
H(s) = Y(s)/U(s) = C(sI - A)^(-1)B + D
Substituting the values of A, B, C, and D into the equation, we can calculate the open-loop transfer function H(s).
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Which graphs have rotational symmetry? Check all of the boxes that apply.
On a coordinate plane, a cubic function has an x-intercept of (0, 0).
On a coordinate plane, an absolute value function opens down.
On a coordinate plane, an oval is in quadrant 1.
Answer:
The correct option are;
On a coordinate plane, a cubic function has an x-intercept of (0, 0)
On a coordinate plane, an oval is in quadrant 1
Step-by-step explanation:
Rotational symmetry of a shape is a shape that when it is rotated on its axis to a given angle less than one complete revolution, the shape looks exactly like the pre-image or original appearance of the shape
For a cubic function that has x-intercept = (0, 0) we have;
y = f(x) = a·x³ + b·x² + c·x
Has the shape f a fan blade and therefore, looks the sane when rotated when rotated through 180°
The shape of an oval looks the same when rotated through 180°
Answer:
This graph has rotational symmetry about the point
(0,0).
This graph has rotational symmetry about the point (2,4).
Step-by-step explanation:
second part on edge 2020 !