The sum of Paul’s and Sam’s ages is 4 and the difference between their ages is 0. Two equations to model this situation are x + y = 4 and x - y = 0. The solution represents both of their ages. What quadrant does the solution lie in?
A.) IV
B.) II
C.) III
D.) I
Answer:
D.) |.
Step-by-step explanation:
x + y = 4
x - y = 0 Adding:
2x + y - y = 4
2x = 4
x = 2
and y = 4 - 2 = 2.
The point (2, 2) is in quadrant |
write an expression which maximizes the sugar your could gain from street so that you can satisfy your sweet tooth. hint: define m[i]m[i] as the maximum sugar you can consume so far on the i^{th}i th vendor.
To maximize the sugar you can gain from street vendors and satisfy your sweet tooth, you can use the following expression:
m[i] = max(m[i-1] + s[i], s[i])
Here, m[i] represents the maximum sugar you can consume so far on the i-th vendor, and s[i] denotes the sugar content of the i-th vendor's offering.
The expression utilizes dynamic programming to calculate the maximum sugar consumption at each step. The variable m[i] stores the maximum sugar you can have up to the i-th vendor.
The expression considers two options: either including the sugar content of the current vendor (s[i]) or starting a new consumption from the current vendor.
To calculate m[i], we compare the sum of the maximum sugar consumption until the previous vendor (m[i-1]) and the sugar content of the current vendor (s[i]) with just the sugar content of the current vendor (s[i]). Taking the maximum of these two options ensures that m[i] stores the highest sugar consumption achieved so far.
By iterating through all the vendors and applying this expression, you can determine the maximum sugar you can gain from the street vendors and satisfy your sweet tooth.
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Does the table define y as a function of x?
In the given table to determine if the relation is a function we need to check if each input (x) maps to exactly one output (y).
In other words, if the x-values are not repeated then it is a function.
In the table there is not x-values repeated, so, the table define y as a function of x.
The answer is yes.
What numbers belongs at the top? Really confused on how to solve this one
Answer:
What is it? Like what type of math?
Step-by-step explanation:
I'm confused cause it can't be geometry cause a square would not have squares within it that are different area units????
in a recent survey, % of the community favored building a police substation in their neighborhood. if 14 citizens are chosen, find the probability that exactly of them favor the building of the police substation. round the answer to the nearest thousandth.
The probability that exactly 5 of them favor the building of the police substation is 0.0258.
What is probability?
Probability theory is the mathematical underpinning that makes it possible to analyze random events in a way that makes sense.
The probability of an occurrence is a quantitative measure of how probable it is that a given event will transpire.
This number is always between 0 and 1, where 0 indicates impossible and 1 indicates confidence.
Given that,
n=14, p=0.63
P(x=5) = \(^{14}C_5(0.63)^5(0.37)^9\)
=0.0258
The probability that exactly 5 of them favor the building of the police substation is 0.0258.
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Let S = ∑ n = 1 [infinity] ln n n 2 p
The integral test implies that the series S = ∑ n = 1 [infinity] ln n n^2 p converges if and only if the integral ∫₁^[∞] ln(x)/x^2 dx converges.
The integral test can be used to evaluate whether the series is convergent. Suppose f(x) = ln(x)/x2. When x exceeds 1, f(x) is continuous, positive, and declining.
∫₁^[∞] f(x) dx = ∫₁^[∞] ln(x)/x^2 dx
Integrating by parts with u = ln(x) and dv = dx/x2 yields the following result:
1[-ln(x)/x] = dx = ln(x)/x.
₁^[∞] + ∫₁^[∞] 1/x^2 dx
= 0 + [1/x]₁^[∞] = 1
The series S = n = 1 [infinity] ln n n2 p is said to converge if and only if the integral ∫₁^[∞] ln(x)/x^2 dx is found to converge by the integral test. This total converges, so we deduce that the series S converges as well.
Therefore, the integral test implies that the series S = ∑ n = 1 [infinity] ln n n^2 p converges if and only if the integral ∫₁^[∞] ln(x)/x^2 dx converges.
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Rico spins the spinner twice and determines the sums of the spins. Fill in the sample space to determine the possible outcomes. What is the probability that Rico will get a sum less than or equal to 8? A 13\frac{1}{3} 3 1 B 23\frac{2}{3} 3 2 C 89\frac{8}{9} 9 8 D 59\frac{5}{9} 9 5
Answer:
2/3
Step-by-step explanation:
Sample space for the sum of 2 spins :
Number on spinner = 2, 5, 4
____ 2 ___ 5 _____4
2___ 4 ___ 7 _____ 6
|
5___ 7 ___ 10 ____ 9
|
4___ 6 ___ 9 ____ 8
Hence,
(4, 7, 6, 7, 10, 9, 6, 9, 8)
Probability of getting a sum less than or equal to 8;
Probability = required outcome / Total possible outcomes
Required outcome =, sum ≤ 8 = 6
Total possible outcomes = 9
P(sum ≤ 8) = 6/9 = 2/3
Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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Find the missing value using the given slope.
(-3,y) (9,-2); m=1/3
Answer:
Y= (-6)
Step-by-step explanation:
I plugged the given info into the slope formula and solved by finding the fraction
that could be simplified into 1/3
I hope this helps!
Consider the equation r = 5 sin(θ). Use the drop-down boxes to complete the sentences.
The solutions to the blanks are Circle, y-axis and 5 units, respectively.
What is the equation of the circle?The equation of the circle whose center is coordination at (h,k) and radius is r will be
(x -h)² +(y -k)² = r²
where (h,k) is the coordination of its center and r is the radius.
We have,
r = 5 sinΘ
So,
When the center of the circle is at origin (0,0);
Then x² + y² = r²
So,
We have, r = 5 sinΘ
So,
For 0 ≤ θ ≤ π,
The circle is developed above the x-axis and symmetrical about the y-axis (θ=π/2)
The circle has a radius of 5/2, centered at (0, 5/2), so the diameter is 5 units.
And hence the greatest distance between any two points on a graph is 5 units.
Therefore, the solutions to the blanks are Circle, y-axis, and 5 units, respectively.
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Please Help me - You will get 60 points for the rapid reply- Use isosceles trapezoid ABCD to determine the following measurements-
Answer:
1) AD = 9 in
2) DE = 9.25 in
3) ∠EDC = 36°
4) ∠AEB = 108°
5) 11.5 in
Step-by-step explanation:
1) AD = BC = 9in
2) AC = BD (diagonals are equal)
⇒ BD = 14.25
⇒ BE + DE = 14.25
⇒ 5 + DE = 14.25
DE = 9.25
3) Since AB ║CD,
∠ABE = ∠EDC = 36°
4) ∠ABE = ∠BAE = 36°
Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)
⇒ 36 + 36 + ∠AEB = 180
∠AEB = 108
5) midsegment = (AB + CD)/2
= (8 + 15)/2
11.5
10.
(15x - 7)
х
37°
11.
Check the picture below.
What is the unknown side length
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Leg a = x
Leg b = 12
Hypotenuse c = 13
Step 2: Solve for x
Substitute in variables [Pythagorean Theorem]: x² + 12² = 13²Evaluate exponents: x² + 144 = 169[Subtraction Property of Equality] Subtract 144 on both sides: x² = 25[Equality Property] Square root both sides: x = 5Choose all the ways the ratio of five girls to 9 boys can be written. the options are
9:5
9 to 5
5:9
5 to 9
5/9
9/5 i need helppp im so confused.
Answer:
5/9
5 to 9
5:9
hope this helps <3
Answer:
5/9,
5:9,
and 5 to 9
Find the area of the figure below
77.25 cm^2 154.5 cm^2 87.55 cm^2 175.1 cm^2
The area of the given triangle is 87.55 square centimeter.
From the given triangle, base=17 cm and height=10.3 cm.
The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here, area of a triangle = 1/2 ×17×10.3
= 87.55 square centimeter
Therefore, area of the given triangle is 87.55 square centimeter.
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Suppose f(x) = - 3x² + 9x − 2. Compute the following:
A.) ƒ( − 2) + f(1) =
B.) ƒ( − 2) – ƒ(1) =
Step-by-step explanation:
\( f(x) = - 3 {x}^{2} + 9x - 2\)
A) f(-2) + f(1) = -32 + 4 = -28
B) f(-2) - f(1) = -32 - 4 = -36
a partial food web is represented in the diagram below. letter x most likely represents: select only one answer choice. producers carnivores decomposers parasites
The diagram below depicts a portion of the food web. letter x no doubt addresses Producers. The diagram below depicts a partial food web, and it is option A.
The letter x probably stands for producers. Producers give humans, other animals, and chickens energy.
Essential makers use energy from the sun to deliver their own food as glucose, and afterward essential makers are eaten by essential buyers who are thus eaten by optional customers, etc, with the goal that energy streams from one trophic level, or level of the natural order of things, to the following.
A producer is an autotrophic creature equipped for delivering complex natural mixtures from basic inorganic particles through the course of photosynthesis.
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Question:
a fractional food web is addressed in the graph beneath. letter x in all probability addresses:
a) producers,
b) carnivores,
c) decomposers,
d) parasites are all examples.
In a survey, 9 out of 10 dentists recommend PurWhite toothpaste for their patients. If 80 dentists were surveyed, how many doctors recommend PurWhite toothpaste?
Answer:
72 dentists
Step-by-step explanation:
In this case, we can multiply 80 by 9/10 or .9 to get our answer.
If we were to multiply by 9/10 it would look like this:
\(80 * \frac{9}{10} \\\frac{720}{10} = 72\)
But, if we were to multiply by .90 (remember that 9/10 = .9) it would look like this:
\(80(.90) = 72\)
Therefore, if 9 out of 10 dentists recommended PurWhite toothpaste and 80 were surveyed then 72 out of the 80 would have recommended it.
I hope this helps!!
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- Kay :)
1 y=2x+3
y=2x-3
is it perpendiclular parallel or neither
?show that 33105 is divisible by 15?
Answer:
um 2207 times 15 is 33105
Which table represents the graph below?
Answer:
it is that table
Step-by-step explanation:
how many dimensions of space can you move in if you are on the surface of a sphere, and you cannot leave that surface? - 1 dimension - 2 dimensions - 3 dimensions - 4 dimensions
If you are on the surface of a sphere and cannot leave that surface, you can move in two dimensions. The surface of a sphere is a two-dimensional space.
To understand this, imagine yourself standing on a globe. You can move along the surface by walking in any direction, such as east-west or north-south. These movements are described by two coordinates, typically latitude and longitude, which define your position on the sphere.
However, you cannot move in the third dimension, which would involve going up or down from the surface of the sphere.
The concept of dimensions in this context refers to the number of independent directions in which you can move. In the case of a sphere, the surface is curved and can be represented using two coordinates, giving you the ability to move in two dimensions.
Adding a third dimension would involve moving away from the surface, which is not possible within the constraints of being confined to the sphere's surface.
Therefore, you can move in two dimensions but not in three or four dimensions while on the surface of a sphere.
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The ale price of every item in a tore i 85% of it regular price
1. The regular price of a backpack i $30 what’ it’ ale price?
2. The ale price of a occer ball i $15. 30 what’ it regular price?
3. The ale price of a jacket i $21. 08 what’ it regular price?
The sale price of the backpack is $25.5, the sale price of the soccer ball is $13.005, and the sale price of one jacket is 17.918.
Given:
The sale price of every item in a store is 85 percent of its regular price.
1. The regular price of a backpack is $30.
Then, the sale price = 85% of (the regular price of a backpack )
= 0.85 x ($30)
= $25.5
Hence, the sales price of the backpack = $25.5
2. The regular price of a soccer ball is = $15.30
The sale price of the soccer ball is 85% of its regular price.
Therefore, the sale price = 85% of $15.30
= $13.005
So, the sale price of the soccer ball is $13.005.
3. The regular price of a jacket is $21. 08
The sale price of a jacket is 85% of its regular price.
Therefore, the sale price = 85% of $21. 08
= $17.918
So, the sale price of a jacket is $17.918.
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PLEASE ANSWER PLEASE PLEASE PLEASE
I4x + 3I = 15
Please set up two equations and list your answers from least to greatest.
Use the definition of absolute value.
• If 4x + 3 ≥ 0, then
|4x + 3| = 15
4x + 3 = 15
4x = 12
x = 3
• Otherwise, if 4x + 3 < 0, then
|4x + 3| = 15
-(4x + 3) = 15
4x + 3 = -15
4x = -18
x = -9/2
Then the solutions are {-9/2, 3}.
WILL MARK BRAINIEST IF CORRECT!
What is the median of the following numbers?
23, 30, 54, 81, 17,61
Answer:
42
Step-by-step explanation:
Median = Middle numbers in terms of value
To find the median we are going to want to list the numbers in order from lest to greatest
17, 23, 30, 54, 61, 81
Now we find the middle number
Because there is an even amount of numbers there will be two middle numbers.
When there are two middle numbers we add them together and divide by 2 to get the median
The two middle numbers are 30 and 54
That being said the median = \(\frac{30+54}{2}\)
30 + 54 = 84
\(\frac{84}{2} =42\)
So we can conclude that the median of the number set is 42
find the weight in kilograms of a 150 pound person
Answer:
The weight in kilograms of a 150 pound person is 68.039 kg
Step-by-step explanation:
Weight = 150 pounds.
We need to convert this to kg,
Now, 1 pound = 0.453592 kg.
Then, 150 pounds will be,
150 pounds = 150(0.453592) kg
So, 150 pounds = 68.039 kg
The weight of a 150 pound person is approximately 68.04 kilograms.
To convert the weight of a person from pounds to kilograms, we can use the conversion factor of 1 pound = 0.4536 kilograms.
Given that the person weighs 150 pounds, we can multiply this value by the conversion factor to find the weight in kilograms:
Weight in kilograms = 150 pounds * 0.4536 kilograms/pound
Weight in kilograms = 68.04 kilograms
Therefore, the weight of a 150 pound person is approximately 68.04 kilograms.
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The production cost, represented by y, of smart phone devices are equal to the product of computing components (a) and the square of the number of devices (x), added to the produ of labour (b) and number of devices (x)after which savings on reusable material (c) are subtracted. 2.1 Write down an equation to represent the production cost (y) in terms of a. x, b and c. 2.2 Change the subject of the equation/formula in 2.1 to: 2.2.1 a= 2.2.2 b = 2.2.3 = 2.3 Determine the production cost of 7 devices, if labour amounts to R4 140, computin components cost is R 1 035 and the savings on reusable material is R 1 725.
The production cost is an illustration of a quadratic function
How to determine the equationWe have the following parameters:
Computing components (a)Number of devices (x),Labor (b) Savings on reusable material (c)Using the instructions in the question, the equation of the production cost would be:
\(y =ax^2 + bx -c\)
Hence, the production cost is \(y =ax^2 + bx -c\)
Change the subject of the equationIn (a), we have:
\(y =ax^2 + bx -c\)
Subtract bx - c from both sides
\(y - bx + c = ax^2\)
Divide through by x^2
\(a = \frac{y - bx + c}{x^2}\)
Hence, the equation that represents the computing component is \(a = \frac{y - bx + c}{x^2}\)
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The tourism industry has been badly affected due to the COVID-19 situation. At a tourist resort the number of guests remaining after t days can be modelled by the expression shown below. 200e⁻⁰.¹⁹ᵗ Determine how many tourists continued to stay at the resort after 1 day, and after 10 days. Give your answers to the nearest integer. (1) The number of tourists remaining after 1 day, to the nearest integer, is __ (ii) The number of tourists remaining after 10 days, to the nearest integer, is ___
The number of tourists remaining at a tourist resort after t days can be modeled by the expression 200e⁻⁰.¹⁹ᵗ. To determine how many tourists continued to stay at the resort after 1 day and after 10 days, we can substitute these values into the expression and solve for the number of tourists.
The expression 200e⁻⁰.¹⁹ᵗ models the number of tourists remaining at a tourist resort after t days. The coefficient 200 represents the initial number of tourists at the resort, and the exponent -0.19 represents the rate at which the number of tourists is decreasing. As t increases, the value of the expression decreases. To determine how many tourists continued to stay at the resort after 1 day, we can substitute t = 1 into the expression and solve for the number of tourists. This gives us:
200e⁻⁰.¹⁹(1) = 200e⁻⁰.¹⁹
≈ 197.8
Therefore, to the nearest integer, there were 198 tourists remaining at the resort after 1 day. To determine how many tourists continued to stay at the resort after 10 days, we can substitute t = 10 into the expression and solve for the number of tourists. This gives us:
200e⁻⁰.¹⁹(10) = 200e⁻¹.⁹
≈ 10.8
Therefore, to the nearest integer, there were 11 tourists remaining at the resort after 10 days. It can be seen that the number of tourists remaining at the resort is decreasing rapidly. After only 10 days, the number of tourists has decreased to less than half of the initial number. This is a clear indication of the impact that the COVID-19 pandemic has had on the tourism industry.
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Please help me on this question
Answer:
a= -2
Step-by-step explanation:
Answer: a = -2
Step-by-step explanation: Provided in the attachment.
Help needed ASAP!!!!!!!
Answer: 4 is 110 degrees and 3 and 1 is 70 degrees.
Step-by-step explanation: 4 is equal to 2 so 4 is 110 degrees 4
110 x 2 = 220 360 - 220 = 140/2 = 70 so 3 and 1 = 70 degrees