The prep club and honor society are joining forces
Answers
Given that the inequalities and that
x ⇒ pep club donations
y ⇒ represent donations raised by the honor society
The inequality is represented by x + y≥ 500
The solution for this is the shaded area above the solid line.
Given x ≥ 100, this is also indicated by the shaded region to the right
What does point (300, 100) represent? is it a viable Solution? why?The point (300,100) indicates that the contributions made for the pep club were $300 and the donations raised by the honor society were $100.
The point (300,100) is NOT a feasible solution since it does not conform to the gray area of the system of inequalities solution.
To proof the above,
Let x = 300; and y = 100
Plugin in both values in the inequalities we have:
300 + 100 [tex]\ngeq[/tex] 500
400 [tex]\ngeq[/tex] 500 ; Hence it is NOT true; also
300 [tex]\ngeq[/tex] 500.
What does (500, 200) represent? Is it a viable Solution? why?The point (500,200) indicates that the contributions raised for the pep club were $500 and the donations raised by the honor society were $200.
The point (500,200) IS A possible solution since it falls inside the darkened area of the system of inequalities solution.
To proof the above,
Let x = 500; and y = 200
Plugin in both values in the inequalities we have:
500 + 200 ≥ 500
700 ≥ 500; hence, this is true and it is safe to indicate that the ordered pair satisfies the inequality A.
Conclusion:
The point (500, 200) is a viable solution.
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Related Questions
30 feet below the surface of the water. You are ascending towards the
surface of the water. The graph models this situation. What is the slope of the line?
Answers
Answer is slope of 5
Step by step
You can graph the slope as seen on the attached picture. You go up 30, you go right +6. Slope is y/x, so 30/6, equals 5
You can also use the slope formula
(y2-y1) over (x2-x1)
Using points on the graph
(6,0) and (0,-30)
(-30-0 ) over (0-6)
-30 over -6
-30/-6
= 5
A sample of 40 observations is selected from one population with a population standard deviation of 5. The sample mean is 102. A sample of 50 observations is selected from a second population with a population standard deviation of 6. The sample mean is 99. Conduct the following test of hypothesis using the .04 significance level.
Is this a one-tailed or a two-tailed test?
State the decision rule.
Compute the value of the test statistic.
What is your decision regarding H0?
What is the p-value?
Answers
1) This is a Two tailed Test.
2) Decision rule is; If the p-value is greater than 4% fail to reject H₀.
3) P-value = 0.00968764 and so we reject H₀
How to state the decision rule in hypothesis testing?We are given the hypothesis as;
Null Hypothesis; H₀: m₁ = m₂
Alternative Hypothesis; H₁: m₁ ≠ m₂
1) Since the alternative hypothesis has "not equal to sign", then it is a two tailed test.
2) Since we are told to use significance level as 0.04, then we can say that the decision rule is;
If the p-value is greater than 4% fail to reject H₀.
3) Using a 2-Sample Z-Test online TI calculator gives the test statistic as;
z = 2.5868
4) From z-score calculator, p-value equals 0.00968764. This is less than 0.04 and as such the decision regarding H₀ is to reject H₀.
5) P-value = 0.00968764
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if x+4/4= y+3/3 then y/3=
Answers
The value of y / 3 in the equation is x / 4.
How to use equation to find y / 3 ?Therefore,
x + 4 / 4 = y + 3 / 3
then y / 3 can be found as follows,
x + 4 / 4 = x / 4 + 4 / 4 = x / 4 + 1
y + 3 / 3 = y / 3 + 3 / 3 = y / 3 + 1
x / 4 + 1 = y / 3 + 1
subtract 1 from both sides of the equation
x / 4 + 1 - 1 = y / 3 + 1 - 1
x / 4 = y / 3
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Place value in the thousands for the 0 in 10000
Answers
The place value in the thousands for the 0 in 10,000 is three (3).
What is a place value?A place value refers to a numerical value which denotes a digit based on its position in a given number and it includes:
TenthsHundredthsThousandthsUnitTensHundredsThousandsIn this scenario, the place value in the thousands for the 0 in 10,000 is three (3).
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For A (1, –1), B (–1, 3), and C (4, –1), find a possible location of a fourth point, D, so that a parallelogram is formed using A, B, C, D in any order as vertices.
Answers
The possible coordinates for the vertex D of the parallelogram could be (-4, 3)
It is given that A(1, –1), B (–1, 3), and C (4, –1) are the three vertices of the parallelogram.
Let us assume that the vertices are in the order A, C, B, and D where the coordinates of D are (a, b).
In this scenario, if we join AB and CD, they will become the diagonals of the parallelogram ABCD.
According to the properties of a parallelogram, diagonals bisect each other.
Hence, mid-point of AB = mid-point of CD
Now, according to the mid-point theorem, if mid-point of AB is given as (x,y), then,
x = (x₁ + x₂)/2 and y = (y₁ + y₂)/2
Here, for AC,
x₁ = 1, y₁ = -1
x₂ = -1, y₂ = 3
Then, x = ( 1 - 1)/2 and y = (-1 + 3)/2
(x, y) ≡ (0, 1) ............. (1)
Since (x, y) is also the mid-point of CD, we also have,
x₁ = 4, y₁ = -1
x₂ = a, y₂ = b
Then, x = (4 + a)/2 and y = (-1 + b)/2
(x, y) ≡ ((4 + a)/2, (-1 + b)/2) ................... (2)
From (1) and (2),
(4+a)/2 = 0 and (-1+b)/2 = 1
4+a = 0 and (-1+b) = 2
a = -4 and b = 3
Hence, the fourth vertex D of the parallelogram can be possibly located at (-4, 3)
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12480 es divisible de 6
Doy 50
Answers
12,480 es par y la suma de sus digitos da un multiplo de 3, por ello concluimos que es divisible por 6.
¿Como saber si un número es divisible por 6?Para que un número sea divisible por 6 debe cumplir dos condiciones.
Ser par.La suma de sus digitos debe ser multiplo de 3.En este caso tenemos 12,480, que sabemos que es par.
La suma de sus digitos da:
1 + 2 + 4 + 8 + 0 = 15
15 es multiplo de 3.
Entonces este número cumple ambas condiciones, por lo que concluimos que 12,480 es divisible por 6.
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A Submarine goes 23 000M deep into the sea
Answers
The pressure of the submarine at a depth of 23000 meters is 2.3575 * 10⁸ N/m²
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Pressure = density * acceleration due to gravity (g) * depth
g = 10 m/s², hence:
Pressure = 1025 * 10 * 23000 = 2.3575 * 10⁸ N/m²
The pressure of the submarine at a depth of 23000 meters is 2.3575 * 10⁸ N/m²
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Without exponents
logc (xy^6z^-4) what is the equivalent expression
Answers
By eliminating exponents, the logarithmic expression [tex]\log_{c} x\cdot y^{6}\cdot z^{-4}[/tex] is equivalent to the logarithmic expression [tex]\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z[/tex].
How to simplify logarithmic functions
In this problem we are supposed to eliminate all exponents of a logarithmic function by applying any of the following properties:
㏒ x · y = ㏒ x + ㏒ y㏒ x/y = ㏒ x - ㏒ y㏒ yˣ = x · ㏒ yNow, we proceed to simplify the function:
[tex]\log_{c} x\cdot y^{6}\cdot z^{-4}[/tex]
[tex]\log_{c} x + \log_{c} y^{6} + \log_{c} z^{-4}[/tex]
[tex]\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z[/tex]
By eliminating exponents, the logarithmic expression [tex]\log_{c} x\cdot y^{6}\cdot z^{-4}[/tex] is equivalent to the logarithmic expression [tex]\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z[/tex].
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A city currently has 2.16 thousand residents. Each year the city's population grows by around 220 persons.
After 15 years what will the approximate population of the city be? Round to three significant digits.
Answers
hi
I cannot figure the number 2.16 thousand has it does not mean anything to me.
But the only thing you need to do is to add 15 times 220
so = 3300
Answer:
5,460 people
Step-by-step explanation:
2,160 + 220x is the expression. Now, we plug in 15 for x.
2,160 + 220(15)
2,160 + 3,300 = 5,460
Brainliest, please :)
If B is the midpoint of AC, which of the following equations is correct?
AB + AC = B
OBA + BC = AC
O None of these choices are correct.
O
AB = AC
Answers
Answer:
BA + BC = AC
Step-by-step explanation:
B is the midpoint of AC
Then
BA = AC/2 and BC = AC/2
Then
BA + BC = AC/2 + AC/2 = AC
Answer:a
Step-by-step explanation:
Seven more than 4 times a number is 43 solve in algebraic equation?
Answers
Answer:
x = 9
Step-by-step explanation:
4x + 7 = 43
4x = 36
x = 9
According to the Rational Root Theorem, which statement about f(x) = 12x3 – 5x2 + 6x + 9 is true?
Any rational root of f(x) is a multiple of 12 divided by a multiple of 9.
Any rational root of f(x) is a multiple of 9 divided by a multiple of 12.
Any rational root of f(x) is a factor of 12 divided by a factor of 9.
Any rational root of f(x) is a factor of 9 divided by a factor of 12.
Answers
The complete statement is (d) Any rational root of f(x) is a factor of 9 divided by a factor of 12.
How to determine the rational roots?The polynomial is given as:
12x^3 - 5x^2 + 6x + 9
The first term in the above equation is 12 i.e. 12x^3, while the last term is 9
To determine the possible rational roots, we divide the factors of the last term i.e. 12 by the factors of the first term i.e. 12
Hence, the complete statement is (d) Any rational root of f(x) is a factor of 9 divided by a factor of 12.
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Answer:
D
Step-by-step explanation:
I took the test
(x-1)^2 + (y-2)^2 = 6.25
Answers
Answer: The center of the circle will be (1,2) and the radius will be 2.5
Step-by-step explanation: Basically since its (x-1) it would become x=1 so that's ur first value same thign with y but that would be ur second value. And since in your equation it is 6.25 that would be 2.5 because 6.25 is r^2 and you are looking for r.
A cube has it's one edge 5 cm and a cuboid measures 4m multiple 3m multiple 2m which has a greate surface area and how much ?
Answers
Answer:
Gievn that l=3m,b=5m,h=4m
L.S.A=2(l+b)h
=2×(3.5)×4
=2×8×4
=64sq.m
Step-by-step explanation:
For f(x) = 4x+1 and g(x)=x²-5, find (f-g)(x).
Answers
Answer: -x² + 4x + 6
Given:
f(x) = 4x + 1
g(x) = x² - 5
Solve:
= (f - g)(x)
= f(x) - g(x)
= 4x + 1 - (x² - 5)
= 4x + 1 - x² + 5
= -x² + 4x + 6
Answer:
(f-g) (x) = 4x+1 - x² + 5 = -x² + 4x + 6
Step-by-step explanation:
Explanation can be given if needed in the comments (ㅅ´ ˘ `)
HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The recursive formula for f(n) is f(n) = 4.25 + f(n - 1), f(0) = 2.25.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let f(n) represent the total cost of shoe rentals for n games, hence:
The recursive formula for f(n) is f(n) = 4.25 + f(n - 1), f(0) = 2.25.
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Is (1, -1) a solution of y=3x-4?
Answers
Answer:
Yes because putting value of x and y as 1 and -1 in equation :
y=3x-4
-1 = 3 * 1 - 4
-1 = -1 (True)
(x-2)(x+3)=(x-2)(4-x)
Answers
The value of x is 0.5
How to evaluate the equation?The equation is given as:
(x -2)(x + 3) = (x - 2)(4 - x)
Divide both sides by x - 2
x + 3 = 4 - x
Evaluate the like terms
2x = 1
Divide by 2
x = 0.5
Hence, the value of x is 0.5
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If 70 mL of solution contains 280 mg of drug, how many milligrams of drug are in 50 mL of solution?
Answers
280/70 = 4
50 mL x 4 = 200 mg
200 mg
47 POINTS !,!!!!!!!!!!!!!!
Answers
If no less than 100000 packets must be packed each week, the minimum number of packets needed to be packed each day for the remaining days is 21250.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
There are 6 days from Monday to Saturday. The factory is closed on Tuesday and 15000 packets were packed on Monday. If no less than 100000 packet must be packed, hence:
4x + 15000 ≥ 100000
x ≥ 21250
If no less than 100000 packets must be packed each week, the minimum number of packets needed to be packed each day for the remaining days is 21250.
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Find the slope-intercept form of the line that
passes through the point (-7, 3) and is
parallel to the line 2x+5y = 3.
Answers
Which statement is NOT true about Euclidean geometry?
F. The shortest distance between two points is a straight line.
G. Basic geometric elements are points, lines, and planes.
H. Parallel lines may intersect.
J. The sum of the measures of any triangle always equals 180 degree.
Answers
Answer: H. Parallel lines may intersect.
Step-by-step explanation:
By definition, parallel lines never intersect.
Given the following exponential function, identify whether the change
represents growth or decay, and determine the percentage rate of increase or
decrease.
y = 38(1.09)^x
Answers
Step-by-step explanation:
We can determine whether the change represents exponential growth or exponential decay by making a table for a few values of x.
0 -> [tex]38(1.09)^0[/tex] = 38 * 1 = 38
1 -> [tex]38(1.09)^1[/tex]= 38 * 1.09 = 41.42
2 -> 38(1.09)² = 38 * 1.09 * 1.09 = 45.1478
We see that y increases as x increases, which makes this function represent exponential growth.
The percentage rate of increase is how much the value of y increases by each time x increases.
Since we are multiplying by 1.09 each time, we are taking 109% of the previous y value to get the current y value. Hence, the rate of increase is 9%.
Given quadrialateral PQRS is similar to TUVW, find side PS.
Answers
The length of side PS according to the quadrilateral descriptions is; 21.
What is the length of side PS?Since, it follows from the task content that the two quadrilaterals given are congruent, hence, the corresponding sides are congruent and are in proportion to each other.
On this note, we have;
x/35 = 15/25
x = (35×15)/25
x = 21.
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who knows ow to solve this triangle?
Answers
The measure of x in the right angled triangle shown is 4.09
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
From the diagram shown:
sin(17) = x / 14
x = 4.09
The measure of x in the right angled triangle shown is 4.09
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giving brainliest !!!!!!!!!!!
Answers
The parabola vertex is (1,5), the focus of the parabola is (1,6), and the directrix y = 4.
What is the graph of a parabolic equation?The graph of a parabolic equation is a U-shape curve graph that is established from a quadratic equation.
From the given information:
[tex]\mathbf{y=\dfrac{1}{4}(x-1)^2+5}[/tex]
The vertex of an up-down facing parabolic equation takes the form:
y = ax² + bx + c is [tex]\mathbf{x_v = -\dfrac{b}{2a}}[/tex]
Rewriting the given equation:
[tex]\mathbf{y = \dfrac{x^2}{4}-\dfrac{x}{2}+\dfrac{21}{4}}[/tex]
[tex]\mathbf{x_v = -\dfrac{b}{2a}}[/tex]
[tex]\mathbf{x_v = -\dfrac{(-\dfrac{1}{2})}{2(\dfrac{1}{4})}}[/tex]
[tex]\mathbf{x_v =1}[/tex]
Replacing the value of x into the equation, y becomes:
[tex]\mathbf{y_v = 5}[/tex]
Thus, the parabola vertex is (1,5)
From the vertex, the focus of the parabola is (1,6), and the directrix y = 4.
The graphical representation of the parabola is seen in the image attached below.
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please answer every question here
Answers
If the company sells 0 computers, they will not make a profit. They will lose $10780
How to interpret the slope?The function is given as:
P = 490n - 10780
A linear equation is represented as:
P = mn + c
Where
m represents the slope
By comparison, we have:
m = 490
This means that the slope is 490
Hence, the interpretation is
Slope; 490
The company earns $490 per computer sold
How to interpret the vertical intercept?The function is given as:
P = 490n - 10780
A linear equation is represented as:
P = mn + c
Where
c represents the vertical intercept
By comparison, we have:
c = -10780
This means that the vertical intercept is -10780
Hence, the interpretation is
Vertical intercept; -10780
If the company sells 0 computers, they will not make a profit. They will lose $10780
How to interpret the horizontal intercept?The function is given as:
P = 490n - 10780
A linear equation is represented as:
P = mn + c
Where
-c/m represents the horizontal intercept
By comparison, we have:
-c/m = 10780/490
-c/m = 22
This means that the horizontal intercept is 22
Hence, the interpretation is
Horizontal intercept; 22
If the company sells 22 computers, they will break even. They will earn $0
How to evaluate P when n = 46We have:
P = 490n - 10780
This gives
P = 490* 46 - 10780
P = 11760
If the company sells 46 computers, they will earn $11760
How to evaluate n when P = 15190We have:
P = 490n - 10780
This gives
15190 = 490n - 10780
490n = 15190+10780
490n = 25970
n = 53
The company will earn $15190, if they sell 53 computers
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A store is having a sale on chocolate chips and walnuts. For 5 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $25 . For 7 pounds of chocolate chips and 9 pounds of walnuts, the total cost is $53 . Find the cost for each pound of chocolate chips and each pound of walnuts.
Answers
Answer:
one pound of chocolate chips = $2.75
one pound of walnuts = $3.75
Step-by-step explanation:
we can solve this by first making an equation
let's write the number of chocolate chips in c
and the number of walnuts in w
5c + 3w = 25
7c + 9w = 53
let's first solve for c by multiplying the top equation by 3 and subtracting the bottom equation from it
(15c + 9w = 75) - (7c + 9w = 53)
8c = 22
c = $2.75
Let's now start to solve for w by inputting c into one of the equations.
(2.75)7 + 9w = 53
19.25 + 9w = 53
9w = 53 - 19.25
9w = 33.75
w = $3.75
a pound of chocolate chips = 2.75
a pound of walnuts = 3.75
give me brainliest, please!
Hope this helps :)
Answer:
each pound of chocolate chips costs $2.75
each pound of walnuts costs $3.75
Step-by-step explanation:
let c be the cost of a pound of chocolate chips
and w be the cost of a pound of chocolate chips
For 5 pounds of chocolate chips and 3 pounds of walnuts,
the total cost is $25 means 5c + 3w = 25
For 7 pounds of chocolate chips and 9 pounds of walnuts,
the total cost is $53 means 7c + 9w = 53
Now we have to solve the system:
[tex]\begin{cases}5c+3w=25&\\ 7c+9w=53&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}15c+9w=75&\\ 7c+9w=53&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}15c+9w=75&\\ 8c=22&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}15c+9w=75&\\ c=\frac{11}{4} &\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}9w=75-15 \times \frac{11}{4} &\\ c=\frac{11}{4} &\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}9w=\frac{135}{4} &\\ c=\frac{11}{4} &\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}w= \frac{15}{4} &\\ c=\frac{11}{4} &\end{cases}[/tex]
Consider the dot plot below. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?
A dot plot with an axis marked from 0 to 10 at increments of 1 is shown. Plot shows 8 dots at 10, 7 dots at 9, 6 dots at 8, 3 dots at 7, 2 dots at 0 and 6, and 1 dot at 5.
The mean is equal to the median and the data are symmetric.
The peak is equal to the median and the data are skewed.
The data are symmetric and there are outliers.
The data are skewed and there are outliers.
Answers
The two characteristics that makes the median a better choice are: A. The data are skewed and there are outliers.
What Characteristics of a Dot Plot Makes Median a Better Choice?In a data distribution, the median is a better choice to use to describe the data over the mean when an outlier exist and the data is skewed.
IN the dot plot given below, the data has an outlier of 10 while the data distribution is also screwed, this makes the median a better choice.
Therefore, the answer is: A. The data are skewed and there are outliers.
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A. Reflection around the x-axis:
1. A (5, 1)→ A'
2. B (1, 3) B¹.
3. C (-2, 2)→ C'.
4. D (-5, 4) D'
B. Reflection around the y-axis:
1. A (5, 1)→ A'
2. B (1, 3) B¹.
3. C (-2, 2)→ C'_
4. D (-5, 4) D'
Answers
Part A
1) (5, -1)
2) (1, -3)
3) (-2, -2)
4) (-5, -4)
Part B
1) (-5, 1)
2) (-1, 3)
3) (2, 2)
4) (5, 4)