Using a system of equations, it is found that there are 3 sliders and 8 onion rings in the combination meal.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Number of sliders in the combination.Variable y: Number of onion rings in the combination.The meal has a total of 11 sliders and onion rings, hence:
x + y = 11.
The meal contains 1370 calories, hence, considering the calorie load of each food, we have that:
350x + 40x = 1370.
From the first equation, we have that:
y = 11 - x.
Replacing in the second, we have that:
350x + 40(11 - x) = 1370
310x = 930.
x = 930/310
x = 3.
y = 11 - x = 11 - 3 = 8.
There are 3 sliders and 8 onion rings in the combination meal.
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A bakery sells 6 bagels for $2.99. What is the cost, in dollars, for 48 bagels?
A. $10.76
B. $13.16
C. $23.92
D. $37.08
Answer: $23.92
Step-by-step explanation:
First, we know that 6 bagels is $2.99.
48/6=8
This means that 6 is a multiple of 48, which makes it easier to solve.
$2.99 x 8 = 23.92
= $23.92
y = 4x 2 is shifted 5 units to the right
Answer:4
Step-by-step explanation: y=mx+b is the slope intercept form of an equation. m is the slope and b is the y-intercept. just substitute 4 for m and 2 for b and get the original equation y = 4x + 2. since 4 is m, then 4 is the slope.
Answer:
y= 4(x-5) 2
Step-by-step explanation:
It seems counterintuitive, but to shift a parabola, you have to subtract five from x. To shift to the left, you would simply add five to x instead of subtract.
Solve the initial value problem
y" + 6y' — 16y = 0, y(0) = α , y'(0) = 56.
Find α so that the solution approaches zero as t → [infinity].
α = ______
The given differential equation is y" + 6y' — 16y = 0, with the initial conditions y(0) = α and y'(0) = 56. The value of α = 4.
We need to solve the given differential equation y" + 6y' — 16y = 0.
The characteristic equation is given by:
r² + 6r - 16 = 0, which gives us the roots as r = -8 and r = 2.
The general solution is given by
y(t) = c₁e^{-8t} + c₂e^{2t}.
Applying the initial conditions:
y(0) = αc₁ + c₂ = α ...(1)
y'(0) = -8α + 2c₂ = 56 ...(2)
On solving (1) and (2), we get:
c₁ = α and c₂ = 8α + 28.
Therefore, the general solution of the differential equation is:
y(t) = αe^{-8t} + (8α + 28)e^{2t}.
As t → [infinity], the solution will approach zero only if α = 4.
Hence, α = 4 is the required solution.
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the apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.
The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.
A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.
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Select all the expressions which are equivalent to –43p – 25. –43p + 25 –25 – 43p 43p – 25 –43p + (–25) 25 + 43p
Answer:
the answer is -43p + ( 25 )
Step-by-step explanation:
the correlation between variables x and y is .50. You compute a least squares regression line wit this bivariata data. Which of the following is true?
a. the r^2 is greater than .50
b. the regression constant is positive
c. the regression coefficient is positive
d. the slope of the regression line is negative
e. all of the above
The correlation between variables x and y is 0.50 . The true option is option (c) .
that's the regression coefficient is positive for given bivariata.
Correlation: Correlation is a statistical measure of how linearly two variables are related (meaning they change together at a constant rate). The
sample correlation coefficient r quantifies the strength of the relationship.
Correlation Coefficient: The Correlation Coefficient formula is used to examine the strength of the relationship between data. The formula returns a value between -1 and 1.
Here:
1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at allPearson's correlation coefficient is denoted by "r" and is
r = (n∑xy - ∑x∑y )/√( n ∑x² - (∑x )² ) ( √ n∑y² - (∑y)²)
We have given that correlation between x and y is 0.50.
cor(x,y) = √r^2 => √r^2 = 0.50 => r ^2 = (0.50)^2
=> r^2 = 0.25 > 0 but less than 0.50 ---( 1)
Regression coefficient is the constant "b" in the regression equation that gives the change in the value of the dependent variable equal to the unit change in the independent variable.
Symbolically it can be expressed as:
bₓᵧ= r σ ₓ /σ ᵧ
where x and y are correlated
σ ₓ --> standard deviation of X
σᵧ ---> standard deviation of y
We know that standard deviations is square root value of variance of observations. we also know square root any quantity is always positive or zero.
Using the above fact about standard deviations and correlation coefficient (r) is also positive we see that bₓᵧ is postive.
Hence, Regression cofficient is positive.
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Which fraction is equal to the decimal 0.137?
Answer:
137/1000
Step-by-step explanation:
Answer:
137/1000 also 13.7 percent
Step-by-step explanation:
What is m less than 8 thirds greater than or equal to negative 19
Answer:
greater then tell me if i'm wrong
1. (10 points) Explain how to factor the following:
A: 3m2 + 4m +1 = 0
B: 16n- 25
C: 20n3 - 15n2 + 4n - 3
D: 864.3 + 4
Answer:
A. 3m² + 4m + 1 = 0
3m² + 3m + m + 1 = 0
3m (m + 1) + 1 (m + 1) = 0
( 3m + 1 ) (m + 1) = 0
B. 16n - 25
16n = 25
n = 25/16
Jean took out a 5- year car loan of Rs 600 000.
He paid back a total of Rs 840 000.
What simple interest rate did he pay for this load?
interest= 840000-600000= 240000
P= 600000
R=?
t= 5 yrs
I = prt
240000 = 600000 × r × 5
r= 240000/600000×5
r = 0.08
interest rate = 0.08× 100 = 8%
- Josh and Gerald are having a throwing contest. Josh's first throw landed 20 feet away from the throwing line. They also measured that the
highest point of the throw occurred when the ball was 10 feet away from Josh and 30 feet in the air. Which equation models the path of Josh's
throw?
Answer:
y = -3x^2/10 + 6x
Step-by-step explanation:
Select the correct answer from each drop-down menu.
The function f is given by the table of values as shown below.
Drop down box options:
The parent function of the function represented in the table is: Linear, Exponential, Quadratic
If function f was translated down 4 units, the: x- and f(x), x, or f(x)
-values would be: divided by 4, increased by 4, decreased by 4, multiplied by 4
A point in the table for the transformed function would be : (1, 52), (2,23), (4,87), (3,29)
The above Exponential function has the parent function to be F(x).
The value will decreased by 4.A point in the table for the transformed function would be : (1, 52), What is the transformation about?The difference between successive terms is: 6, 18, 54, 162. These are known to be in the powers of 2 and therefore one can say that there is an exponential increase in the parent function.
The new function is said to g(x). Translating down by 4 means that the new y-values are 4 units lower and so the answer is that the f(x)/y-values will be decreased by 4.
Therefore, looking at the above, since g(x)=f(x)-4 one need to know the value of x, the new y-value is lower by 4 from the old one. This is the case only for (1, 52) since the old function is (1, 13).
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i don’t get this help lol
The equation of the parabola using vertex form in the graph is given as; y = (-19/9)(x + 3)².
What is meant by the term parabola?A parabola is a collection of points in a plane which are the same distance apart from a given point and line in that plane. The given point is known as the focus, and the line is known as the directrix. The vertex of the parabola is the midpoint of a perpendicular segment from of the focus to the directrix. The axis of symmetry is the line that connects the vertex and the focus.For the given question;
The curve on the graph in the vertex form is defined by the the equation;
y = a( x – h) 2 + k
Where, (h,k) are the vertex of the curve.
From the graph.
Vertex (h,k) = (-3, 0)
Point = (x, y) = (0, -19)
Put the values in the curve.
y = a( x – h)² + k
-19 = a( 0 – (-3))² + 0
Solving.
a = -19/9
Now, the put the value of a in the equation of parabola.
y = (-19/9)(x + 3)² + 0
y = (-19/9)(x + 3)²
Thus, the equation of the parabola in the graph is given as; y = (-19/9)(x + 3)².
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WILL MARK BRAINLIST An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Hey there!
The first step in solving this equation is
using the Distributive property & distributing 2:2(7x-3)=9
14x-6=9
Now, add 6 to both sides:
14x=15
Divide both sides by 14:
x=15/14
Hope everything is clear.
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Solve for x -6x > 17 Give your answer as an improper fraction in its simplest form.
Answer:
Answer: x ≤ q - 17/6.
Step-by-step explanation:
Divide both sides of the inequality by the coefficient of variable
Find the slope of the line through each pair of points (12,-11), (15, 12)
07713800878 it will help you in your life
Answer:
The slope is 23/3
Step-by-step explanation:
y2-y1/x2-x1
(12,-11), (15, 12)
(x1, y1), (x2,y2)
12+11/15-12
23/3
Help I need the answer dont send NO FILE only answer if you know it step by step explanation
Answer:
See below.
Step-by-step explanation:
Use the same method as before. Go from each original point in a direction perpendicular to the line of reflection, and then go the same distance to the other side of the line.
help please! hurry!! NO SPAM!!! I'll mark brainliest, if you are correct.
Which of the following represents the series in summation notation?
1 + 1/3 + 1/5 + 1/7 + 1/9 + 1/11.
Answer:
A- 1/2K-1
Step-by-step explanation:
Answer:
1/2K-1
Step-by-step explanation:
What is a possible value for the missing term of the geometric sequence 1250?.
A possible value for the missing term of the geometric sequence 1250,__,50,.. is 250.
How to calculate the nth term of a geometric sequence?In Mathematics and Geometry, the nth term of a geometric sequence can be calculated by using this mathematical equation (formula):
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Next, we would determine the common ratio as follows;
Common ratio, r = a₂/a₁ = ar²/ar
x/1250 = 50/x
x² = 1250 × 50
x² = 62500
x = √62500
x = 250
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Complete Question;
What is a possible value for the missing term of the geometric sequence 1250,__,50,..?
I don't know how to do this −1(−3 1/2)
Answer:
3.5
Step-by-step explanation:
The parenthesis means you multiply the inside number by the outside number.
the negatives cancel each other out so the answer would be positive 3.5.
How many more of Collin's classmates chose football than chose soccer?
Answer: (C) 5
Step-by-step explanation:
To find the percentage of classmates who chose soccer lets add the percentage of all the other sports and substract it by 100.
So,
100 - (10 + 10 + 10 + 30 + 15)
100 - 75
= 25
Now, we have to find out how many classmate chose football over soccer.
For this we have to substract the percentage of classmates who chose soccer (25) from the percentage of classmates who chose football(30)
30 - 25
= 5
Thus, the answer is 5.
The type of slope represented in the picture is positive.
True
False
Answer:
This statement is True.
Step-by-step explanation:
The slope is positive, because it's view it's pointed towards the sky, or upwards.
Answer:
True
Step-by-step explanation:
If this slope were to be represented on a coordinate plane it would be facing towards the positive side of the plane since it is facing to the right.
The number of incidents in which police were needed for a sample of 9 schools in Allegheny County is 8, 39, 6, 12, 45, 16, 3, 0, 15. Find the first and third quartiles for the data
The first quartile is 4.5.
The third quartile is 27.5.
What are the quartiles in a data set?A quartile divides data into three points: lower, middle, and upper quartiles, resulting in four groupings of the dataset. The lower quartile, or first quartile, is designated as Q1 and is the 9 halfway number between the dataset's lowest and median values. The median is also in the second quartile, Q2. The upper or third quartile, abbreviated as Q3, is the center point of the distribution that sits between the median and the highest value.
How to solve the question?In the question, we are given the number of incidents in which police were needed for a sample of 9 schools in Allegheny County is 8, 39, 6, 12, 45, 16, 3, 0, 15.
We are asked to find the first and the third quartile for the data.
We first arrange the data in ascending order as follows:
0, 3, 6, 8, 12, 15, 16, 39, 45.
We have 9 data points.
Thus, the first quartile is the data at the point (9 + 1)/4 th observation,
or, the first quartile is the data at the point 2.5th observation,
or, the first quartile is the data at the average of 2nd and 3rd observation, = ( 3 + 6 )/2 = 4.5.
Thus, the first quartile is 4.5.
Thus, the third quartile is the data at the point 3(9 + 1)/4 th observation,
or, the third quartile is the data at the point 7.5th observation,
or, the third quartile is the data at the average of 7th and 8th observation, = ( 16 + 39 )/2 = 27.5.
Thus, the third quartile is 27.5.
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Please I need help with this fast!! (I'll also give brainliest!!)
A university student completed courses worth 3 credits and some courses worth 4 credits. The student earned a total of 54 credits after completing 15 courses. How many courses worth 4 credits did the student complete?
A 9
B 6
C 20
D 32
I'm thinking it's 6, but I'm not sure.
The student completed 9 courses worth 4 credits. The solution has been obtained by using the linear equation.
What is a linear equation?
It follows that a linear equation has the highest degree of one. As a result, it is evident that there are no variables in a linear equation with an exponent bigger than one. A straight line is produced by this equation on the graph.
Let the courses worth 3 credits be 'x' and worth 4 credits be 'y'.
We are given that the student earned a total of 54 credits.
So,
3x + 4y = 54 ...(1)
Also, we are given that in total 15 courses were completed.
So,
x + y = 15 ...(2)
From (2), we get
x = 15 - y
Substituting this value in (1), we get
⇒3(15-y) + 4y = 54
⇒45 - 3y + 4y = 54
⇒45 + y = 54
⇒y = 9
Therefore, x = 15-9 = 6
Hence, the student completed 9 courses worth 4 credits.
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On a house blueprint, 2 feet is represented by 1inch. If a room on the blueprint measures 5 inches by 6 inches, what is the area of the actual room?
Answer:
the answer is 120 feet
Step-by-step explanation:
Which value of x is a solution ta this equation?
2x^2 - 4x + 16 = 0
A x = 3
Bx = -3
Cx = -2
Dx=2
Answer:
Dx=2
the Value of x=2 I hope this help
Subtract -2x^2+3x-9
from 8x^2+10x-10
Answer:
-6x^2 - 7x +1
Step-by-step explanation:
2x^2+3x-9 -(8x^2+10x-10)
3x^2+3x-9 -8x^2-10x+10
Combine like terms
-6x^2 - 7x +1
Identify the initial conditions y(0) and y'(0) for the vertical motion of an object, if the object is thrown downward at a velocity of 6 m/s from a height of 30m. (take the origin to be on the ground)
Answer:
The right solution is "y(0) = 30 m" and "y'(0) = -6 m/s²".
Step-by-step explanation:
Given,
Velocity,
u = -6 m/s
Height,
h = 30 m
Now,
By using shifting of origin, we get
⇒ \((y-30)=-6t+\frac{1}{2}(-9.8)t^2\)
\(y-30=-6t-4.9t^2\)
\(y=30-6t-4.9t^2\)
hence,
The value of y(0) is:
y(0) = \(30-0-0\)
= \(30 \ m\)
The value of y'(0) is:
y'(t) = \(-6-9.8t\)
y'(0) = \(-6 \ m/s^2\)
Using AES, answer these questions given: Plaintext=\{0FOEODOCOBOA09080706050403020100\} Key ={02020202020202020202020202020202} Question 1 [ 10 points]: Show the value of State after initial AddRoundKey?
The Advanced Encryption Standard (AES) is a symmetric encryption algorithm that has a block size of 128 bits. AES is used to encrypt sensitive data like passwords, credit card numbers, and other personal data.
Here's the answer to the question given:
Given values:
\(Plaintext = {0FOEODOCOBOA09080706050403020100}\)
\(Key = {02020202020202020202020202020202}\)
Solution:
First, we'll create a State array using the given plaintext.
State array is a 4x4 matrix.
\(State array (S) = 0F OE OD OC BO A0 90 80 70 60 50 40 30 20 10 00\)
Next, we'll apply the AddRoundKey transformation to the State array.
AddRoundKey:
In this step, the bits of the State array are XORed with the bits of the key to produce a new State array.
The AddRoundKey transformation is performed in the first round of AES and is repeated in every round thereafter.
For this example, we'll use the given key.
Key array is also a 4x4 matrix.
\(Key array (K) = 02 02 02 02 02 02 02 02 02 02 02 02 02 02 02 02\)
The State array is XORed with the Key array to produce the new State array.
\(State array (S) = 0F XOR 02 = 0D OE XOR 02 = OC OD XOR 02 = 0F OC XOR 02 = 0E A0 XOR 02 = A2 90 XOR 02 = 92 80 XOR 02 = 82 70 XOR 02 = 72 60 XOR 02 = 62 50 XOR 02 = 52 40 XOR 02 = 42 30 XOR 02 = 32 20 XOR 02 = 22 10 XOR 02 = 12 00 XOR 02 = 02\)
The value of State after initial AddRoundKey is:
\(0D OC 0F 0E A2 92 82 72 62 52 42 32 22 12 02\),
which is the output of the AddRoundKey transformation.
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The integers that are multiples of 10 (Check all that apply.) Check All That Apply The set is countably finite with one-to-one correspondence 1艹0, 2艹10, 3艹-10, 4艹20,5艹-20,6艹30, and so on. The set is countably infinite with one-to-one correspondence 1艹0, 2艹10.3艹-10,4艹20, 5艹-20, 6艹30, and so on. 0 The set is countably infinite with one-to-one correspondencen10 The set is uncountable.
The set of integers that are multiples of 10 is not finite, but rather infinite. An integer is a whole number that can be positive, negative, or zero and is not a fraction.
The integers that are multiples of 10 form a set that is countably infinite with one-to-one correspondence 1↔0, 2↔10, 3↔-10, 4↔20, 5↔-20, 6↔30, and so on. The integers that are multiples of 10 form a countably infinite set with a one-to-one correspondence to the set of positive integers. This can be seen from the given list of multiples: 1艹0, 2艹10, 3艹-10, 4艹20, 5艹-20, 6艹30, and so on. Each positive integer corresponds to a unique multiple of 10 and vice versa. Therefore, the set of integers that are multiples of 10 is not finite, but rather infinite.
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