Answer:
-4
Step-by-step explanation:
We can use the slope formula: [tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
this formula is really just representing: [tex]\frac{\Delta y}{\Delta x}\\[/tex] or in other words, change in y/change in x
The slope formula is calculating that difference by subtracting the y and x-values.
By just looking at the tables we can easily see that from x=6 to x=8 there is a change in 2
and from y=-16 to y=-24 there is a change in -8
So plugging this into the slope formula we get [tex]\frac{-8}{2}=-4[/tex]
Give the slope and the y-intercept of the line with the
given equation. Then, graph the linear equation.
y = 3x +5
What is the slope? Select the correct choice below and
fill in any answer boxes within your choice.
OA. The slope is
(Simplify your answer.)
OB. The slope is undefined.
What is the y-intercept? Select the correct choice
below and fill in any answer boxes within your choice.
OA. The y-intercept is
(Type an integer or a simplified fraction.)
OB. There is no y-intercept.
Graph the equation.
Click to
enlarge
graph
Determine which integer will make the inequality x − 3 > 15 true.
D: S:{15}
A: S:{17}
B: S:{18}
C: S:{30}
Answer:
c) S : {30}
Step-by-step explanation:
a) S : {17}
→ 17 - 3 > 15
→ 14 < 15
So, it is not suitable.
b) S : {18}
→ 18 - 3 > 15
→ 15 = 15
So, it is not suitable.
c) S : {30}
→ 30 - 3 > 15
→ 27 > 15
So, it is correct answer.
d) S : {15}
→ 15 - 3 > 15
→ 12 < 15
So, it is not suitable.
given line A has a slope of m=-2/5, what is the slope of a line parallel to line A
Given line A has a slope of m = -2/5, the slope of a line parallel to line A is m = -2/5
What is the slope of a line?The slope of a line y = mx + c where
m = slope of line and c = y - interceptIs given by m = Δy/Δx where
Δy = change in y and Δx = change in xHow to find the slope of a line [parallel to another line?Given a line y = mx + c where
m = slope of line and c = y - interceptAlso, given another line y' = m'x + c' where
m' = slope of line and c' = y - intercept.If y is parallel to y' then their slopes are equal. That is m = m'
How to find the slope of the line parallel to line A?Given that line A has a slope of m = -2/5, then by the condition above, the slope of a line paralllel to line A must also equal m.
So, the slope of a line parallel to line A is m = -2/5
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Based on the graph of z (x), what is the value of z-¹ (-2)?
Answer:
-9
Step-by-step explanation:
[tex]z^{-1}(-2)=k \implies z(k)=-2 \\ \\ k=-9 \implies z^{-1}(-2)=-9[/tex]
How many grams are in 0.0564 mol of sodium?
Answer:
1.296623028 grams
Step-by-step explanation:
your answer is 1.296623028 grams because you multiply the given number of moles which was 0.0564 by the molar mass to get the grams
could someone help me understand what I need to do in this problem?
[tex]p(x-1)[/tex] is a quadratic in the form
[tex]a(x-1)^2 + b(x-1) + c[/tex]
We want to write [tex]p(x-1)[/tex] instead in the form
[tex]a' x^2 + b' x + c[/tex]
To do this, simply expand the first form completely.
[tex]a(x-1)^2 + b(x-1) + c = a(x^2 - 2x + 1) + b(x-1) + c \\\\ ~~~~~~~~ = ax^2 + (-2a + b)x + (a - b + c)[/tex]
Then [tex]a'=a[/tex], [tex]b'=-2a+b[/tex], and [tex]c'=a-b+c[/tex].
Given
[tex]p(x-1) = 2(x-1)^2 + 3(x-1) + 4[/tex]
(so [tex]a=2[/tex], [tex]b=3[/tex], and [tex]c=4[/tex]) it follows that
[tex]a' = a = 2[/tex]
[tex]b' = -2a + b = -2^2 + 3 = -1[/tex]
[tex]c' = a - b + c = 2 - 3 + 4 = 3[/tex]
[tex]\implies p(x-1) = \boxed{2}\,x^2 - \boxed{1}\,x + \boxed{3}[/tex]
Write the equation of a line perpendicular to 3x - 8y = - 7 that passes through the point (-3,3).
3y = -8x -27
Solution :
A line equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system. The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.
Given line: 3x - 8y = -7
-8y = -7 -3x
y=- (-7 -3x)/8
y= 7+3x/8
So, the slope (m1) = 3/8
Let’s consider the slope of the line perpendicular to the given line as m2
Then, m1 x m2 = -1
3/8 x m2 = -1
m2 = -8/3
Now,
The equation of the line perpendicular to the given line and passing through the point (-3, -3) will be
y – y1 = m (x – x1)
y – (-3) = -(8/3) (x – (-3))
y + 3 = (-8/3) (x +3)
3y + 3 = - 8x - 24
3y = -8x -24-3
3y = -8x -27
Thus, the equation of the required line is 3y = -8x -27
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Insert brackets in this expression
to make it correct:
8 – 2 + 1 × 5 – 3 = 2
Answer: 8 – (2 + 1) × (5 – 3) = 2
Step-by-step explanation:
8 – 2 + 1 × 5 – 3 = 2
8 – 2 + 1 × 5 – 3 = 2 ==> notice there is an '8-' in the equation, Let's solve for the difference between 8 and 2.
8 – (2 + 1 × 5 – 3)+(2 + 1 × 5 – 3) = 2 + (2 + 1 × 5 – 3)
8=2 + (2 + 1 × 5 – 3)
8-2=2-2+(2 + 1 × 5 – 3)
6=2 + 1 × 5 – 3 ==> 6 is a multiple of 2 and 3. Let's see how we can convert 2 + 1 × 5 – 3 into the product of 2 and 3
6=(2 + 1) × (5 – 3)
6=3 × 2
6=6√ ==> since this is right, let's substitute the parentheses to the original equation
8 – 2 + 1 × 5 – 3 = 2 ==> 8 – (2 + 1) × (5 – 3) = 2
A $25,000 machine depreciates linearly to 0 over a 10 year period. What is the value of the machine after 3 years?
The value of machine after 3 years which costs $25000 will be $17500.
What is the depreciation in value ?
An asset loses value over time as a result of use, damage, or obsolescence. This decline in value is known as depreciation.
The value of a machine is $25000.
The value of the machine after 3 years must be found.
Let y be the machine's price and x be its production time.
We are aware that the line's equation is y = mx + c.
Machine costs $25,000, therefore the point is (0,25000), and when it costs nothing after 10 years, the point becomes (10,0).
Regarding the first point (0 , 25000)
25000 = 0(x) + c
c = 25000
For a second point which is (10,0)
0 = 10(m) + 25000
m = -2500
As a result, y = -2500x + 25000 is the equation.
We know that , we have to find the value of machine after 3 years i.e., x = 3.
So ,
y = - 2500 × 3 + 25000
y = -7500 + 25000
y = $ 17500
Therefore , the value of machine after 3 years which costs $25000 will be $17500.
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The machine after 3 years when depreciates linearly to 0 over a 10 year period is 17500.
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
A $25,000 machine depreciates linearly to 0 over a 10 year period.
According to given question we have
At the time of launch, its cost is $25,000 so the point becomes (0,25000) and after 10 years its cost becomes zero then the point becomes (10,0).
For the first point (0, 25000)
25000 = 0(x) + c
c = 25000
For second point (10,0)
0 = 10(m) + 25000
m = -2500
Thus the equation become y = -2500x + 25000.
When x=3
y = -2500x + 25000
y=-2500*3+25000
y=17500
Therefore, the machine after 3 years when depreciates linearly to 0 over a 10 year period is 17500.
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Determine the following geometric probabilities:
A. Tal-mart parking lot is 500 feet by 800 feet. You just parked your car, which is
approximately a rectangle with the dimensions 6 feet by 10 feet. A bird flying
overhead has just relieved himself by having a bowel movement. If the waste
material has an equal chance of landing anywhere in the parking lot then what are
the chances of it hitting your car.
The geometric probability which represents the chances of having the waste material hit the car as described in the task content is; 3/20,000.
What is the probability of having the waste material hit the car?It follows from the task content that the probability which is to be evaluated is the chance of having the waste material hit the car.
First, since the dimension of the parking lot is; 500 by 800 feet. It follows that;
Area of parking lot = 500 × 800 = 400,000.
Also, since the dimension of the rectangular car is approximately 6 by 10. It follows that;
Area occupied by car = 6 ×10 = 60.
Consequently, the chances of the waste material hitting the car is the ratio of desired outcome to the possible outcome and hence is;
P = 60/400,000
P = 3/20,000.
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You water your succulent every ninth day and your pothos every seventh
day. Today you water both plants. In how many days will you water both
plants on the same day again?
College Level Quantitative Reasoning - See Screenshot
The absolute and relative errors are 0. 8 and 0. 01 respectively.
What is absolute error?Absolute error can be defined as the difference between the inferred or measured value and the actual value of a given quantity.
The formula for absolute error is expressed as;
Absolute error = | VA - VE |
Where;
VA is the actual value = 60. 8 InchesVE is the expected value = 60. 0 InchesSubstitute the values into the formula
Absolute error = | 60. 8 - 60. 0|
Find the difference
Absolute error = | 0. 8|
Absolute error = 0. 8
Relative error = Absolute error/ actual value
Relative error = 0. 8/ 60. 0
Relative error = 0. 01
Thus, the absolute and relative errors are 0. 8 and 0. 01 respectively.
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The equation y= 10x models the cost to attend the aquarium, where x is the number of students in the class and y is the total cost?
The total cost based on the equation illustrated as y= 10x is $230.
How to illustrate the information?It should be noted that from the information, the equation y= 10x models the cost to attend the aquarium, where x is the number of students in the class and y is the total cost.
Therefore, it should be noted that the total cost when x is 23 will be illustrated thus:
y = 10x
y = 10 (23)
y = 230
Therefore, the total cost based on the equation illustrated as y= 10x is $230.
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The equation y= 10x models the cost to attend the aquarium, where x is the number of students in the class and y is the total cost. Calculate the total cost when x is 23.
g. Use a spreadsheet to solve the absolute value equations in part (f).
Explain your method.
123456
7
8
9
10
11
A
X
-8
-7
-6
-5
-4
-3
-2
-1
0
B
|x + 21
6
=abs(A2 + 2)
Pls help omg
Starting from the x-value (A column) for -7 and going down the y-values values (B column) are 5, 4, 3, 2, 1, 0, 1, 2
Step-by-step explanation:The function is given to us in the B column. We can use this to find the y-values without having to plug them in each time.
Finding the Vertex
In absolute value functions, there is a vertex. The vertex, in this case, is the minimum where the y-values change from decreasing to increasing. The absolute value formula is y = a|x - h| + k.
The vertex is equal to (h,k). The h-value in the function above is -2 and the k-value is 0. Thus, the vertex is at (-2,0).
Finding Slope
The slope of an absolute value function is written before the x. Since there isn't anything before the x in this function, the slope must be 1. So, the values either increase or decrease by 1.
Like all positive absolute value functions, the graph will decrease, reach 0, then begin to increase. The graph will reach 0 at the vertex.
Writing Out the Values
The table shows us that the y-values begin at 6. Then, we decrease by one until we get to 0.
So, the first values are 6, 5, 4, 3, 2, 1, 0Each of these x-values matches up with one of the y-values. Then, the graph begins to increase once again.
The next values are 1 and 2So together the y-values for the x-values -8 through 0 are 6, 5, 4, 3, 2, 1, 0, 1, 2.
Solve x^2 + 4x = 1 for x by completing the square.
x = −3
x = −1
x equals plus or minus square root of 5 minus 2
x equals plus or minus square root of 5 plus 2
Answer:
x equals plus or minus square root of 5 minus 2
Step-by-step explanation:
Let's solve your equation step-by-step.
x²+4x=1
Step 1: Subtract 1 from both sides.
x²+4x−1=1−1
x²+4x−1=0
For this equation: a=1, b=4, c=-1
1x²+4x+−1=0
Step 2: Use quadratic formula with a=1, b=4, c=-1.
[tex] \sf \: x = \frac{−b± \sqrt{ b {}^{2} −4ac}}{2a}[/tex]
[tex]\sf \: x = \frac{−(4)± \sqrt{4 {}^{2} −4(1)( - 1)}}{2(1)}[/tex]
[tex] \sf \: x = \frac{−4±√20}{2} [/tex]
x=−2+√5 or x=−2−√5
A total of 52 microphones are to be purchased. Each microphone costs $548. Estimate the total purchase price by using rounded numbers.
The total purchase price is $28496 if a total of 52 microphones are to be purchased. Each microphone costs $548.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A total of 52 microphones are to be purchased. Each microphone costs $548.
Let x be the total purchase price
x = 52x548
x = $28496
Thus, the total purchase price is $28496 if a total of 52 microphones are to be purchased. Each microphone costs $548.
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x^2+48=14x
Show work please
Answer:
Step-by-step explanation:
x^2 - 14x = -48
x^2 +48 -14 x
x^2 - 14x - 48 = 0
a = 1
b = -14
c = 48
x=8, x=6
help pls i gyg soonn
Answer:
Step-by-step explanation:
8806
I need help I give a lot of points and answer all of them for star
Step-by-step explanation:
1. 10.58
2. 15.87
3. 20.37
4 25.88
5. 8.89
6. 2.24
7. 9.95
8. 4.80
Length 10cm width 4 cm
Help help me me me me
Answer:
(-6, 26),( -4, 8,) (0, -4), (2,2), (8,68)
Step-by-step explanation:
Answer:
(-6, 26),( -4, 8,) (0, -4), (2,2), (8,68)
Your answer is incorrect.
Suppose 2 quarts of pure antifreeze is mixed with 3 quarts of a solution that is 18% antifreeze.
Answer the questions below. Do not do any rounding.
(a) How many quarts of antifreeze are in the resulting mixture?
(b) What percentage of the resulting mixture is antifreeze?
a) There is 2.54 quarts in the resulting mixture (b) The percentage of the resulting mixture is 50.8% antifreeze.
Percentage is defined as parts per hundred. Percentage is calculated by dividing the given amount by the total amount and multiplying by 100.
a) 18% of 3 quarts antifreeze contains (18/100) × 3 quarts of antifreeze.
amount of antifreeze = 0 .18 × 3 = 0.54 quarts
Now to this solution 2 quarts of antifreeze is added.
Therefore total amount of antifreeze in the resulting mixture = 2 + 0.54 = 2.54 quarts.
b) Total amount of the resulting mixture = 2 + 3 = 5 quarts
amount of antifreeze in the mixture = 2.54 quarts
Percentage antifreeze in the mixture = (2.54 / 5) × 100 % = 50.8 % .
Therefore there is 2.54 quarts of antifreeze in the mixture and its percentage is 50.8% of the total mixture.
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What pages will be favored for the following search terms:
Chevrolet AND Corvette
The pages that will be favored for the search terms Chevrolet AND Corvette are Pages that include Chevrolet Corvette. Option B
This is further explained below.
What pages will be favored for the following search terms Chevrolet AND Corvette?Generally, We may think about AND as the intersection of two sets by applying the concept of the set union to it.
The intersection of two sets is a representation of the components that are included in or shared by both.
In conclusion, For the sake of this discussion, the sites that contain both Chevrolet and Corvette will be regarded as the most reliable resources.
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what pages will be favored for the following search terms:
Chevrolet AND Corvette
A. Pages about Chevrolet and pages about corvette
B. Pages that include Chevrolet Corvette
C. pages that include Chevrolet and pages that include Corvette plus pages about both.
D. Pages about chevrolet, pages about OR plus pages about corvette
What was Fred Korematsu arrested for which sparked the Korematsu v. United States case?
A. Inciting violence against the military
B. Refusing to move to the detention center
C. Providing military secrets to the Japanese government
D. Leading the attack on Pearl Harbor
Correct answer is B. Fred Korematsu was arrested for Refusing to move to the detention center.
Fred Korematsu is detained on May 30, 1942, in San Leandro, California, for defying President Franklin Roosevelt's contentious Executive Order 9066, which called for the internment of almost all Japanese Americans in the US following Japan's assault on Pearl Harbor.
Korematsu, who was 23 at the time, sued in federal court after being found guilty and being imprisoned in a Utah camp. The U.S. Supreme Court ultimately heard his case, and in 1944 it affirmed the government's argument that the detention was necessary due to "military necessity."
However, a federal court overturned Korematsu's sentence for escape internment in 1983, declaring that he had been the victim of a "grave injustice."
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Please help me with 7, 11, 15, 9, 13, 17, . Please explain your answer for each one. I will give an Brainly and extra points.
The truth values of the composite propositions are listed below:
Case 7: T, Case 9: T, Case 11: F, Case 13: T, Case 15: F, Case 17: F
What are the truth values of composite proposition?
Propositions are constructions that contain itself a truth value. This exercise presents a proposition p is false and proposition q is true. Then, we proceed to find the truth value of each composite proposition, that is, a combination of propositions and operators.
Case 7
p → F Given¬ p → T Definition of negation / ResultCase 9
p → F, q → T Givenp ∨ q → T Definition of disjunction / ResultCase 11
p → F, q → T Given¬ q → F Definition of negationp ∨ ¬ q → F Definition of disjunction / ResultCase 13
p → F, q → T Given¬ p → T, ¬ q → F Defintion of negation¬ p ∨ ¬ q → T Definition of disjunction / ResultCase 15
p → F, q → T Givenp ∧ q → T Definition of conjunction¬ (p ∧ q) → F Definition of negation / ResultCase 17
p → F, q → T Given¬ p → T, ¬ q → F Definition of negation ¬ q ∨ p → T Definition of disjunction¬ p ∧ (¬ q ∨ p) → T Definition of conjunction¬ (¬ p ∧ (¬ q ∨ p)) → F Defintion of negation / ResultTo learn more on propositions: https://brainly.com/question/13011669
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Someone please solve this for me and show your work
It should be noted that the multiplication of 2.102 × 12.62 is 25.39144.
How to illustrate the information?It should be noted that multiplication simply means the product of a number. It should be noted that this contains the number a specified number of times.
Therefore, it should be noted that the value of 2.012 multiplied by 12.62 will be illustrated thus:
= 2.102 × 12.62
= 25.39144
In conclusion, it should be noted that the multiplication of 2.102 × 12.62 is 25.39144.
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1. The soccer team is making pizzas for a fundraiser. They put1/4 of a pound of cheese on each pizza. If they have 12 one-pound packages of cheese, how many pizzas can they make? pizzas ?
2. Dan purchased 3 ½ yards of mulch for his garden. Mulch costs $25 a yard. How much did Dan pay for his mulch? $
3. Mr. Hamilton owns 2 ¾ acres of land. He plans to buy 1 and 1/3 more acres. How many acres will he own? Write your answer as an improper fraction. acres
1) The soccer team can make 48 pizzas using 12 one-pound packages of cheese.
2) The total cost Dan paid for the mulch was $87.50.
3) The number of acres that Mr. Hamilton will own after the planned purchase is 3¹³/₁₂.
How are the values determined?The above values are determined using mathematical operations of addition, division, and multiplication.
For instance, Mr. Hamilton's land increased to 3¹³/₁₂ through the addition of 2¾ and 1¹/₃ acres.
The total cost that Dan paid for the mulch was a multiplication operation.
The number of pizzas the soccer team could make resulted from a division operation.
Data and Calculations:1) Quantity of cheese on each pizza = 1/4 lb
The total quantity of cheese = 12 lb
The number of pizzas to make = 48 (12/1/4) or (12/0.25)
2) The number of yards of mulch purchased = 3¹/₂ yards
Cost of mulch per yard = $25
The total cost for the mulch = $87.50 ($25 x 3¹/₂)
3) Measurement of land owned = 2¾ acres
The planned purchase of additional land = 1¹/₃
The total acres Mr. Hamilton will own = 3¹³/₁₂ (2¾ + 1¹/₃)
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There is exactly 1 pair of parallel sides in the
following shape.
Base=6 base=8 height=5
What is the area of the shape?
The area of the shape with parallel sides is 35 unit² of trapezoid .
Describe the trapezoid shape?
An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel.A = (1/2) * (a + b)h
Where a, b is the length of the parallel sides and h is the height of the trapezoid.
Given that a = 8, b = 6 and h = 5, hence:
A = (1/2) * (8 + 6) * 5 = 35 unit²
The area of the shape with parallel sides is 35 unit².
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A computer with software costs 2903 and Catherine stevens has agreed to pay a 20% per year finance charge on the cash price. If she contracts to pay the loan in 18 months, how much will she pay each month?
If she contracts to pay the loan in 18 months, Catherine would pay 209.66 in each month
What simple interest ?The simple interest on purchase finance is determined as the cost of the items purchased multiplied by the annual interest of 20% and the period the month payments would last:
I=PRT
Where:
I=simple interestP=principal=2903R=interest rate=20%T=time=18months/12 months=1.5So we have:
I=2903*20%*1.5
I= 870.90
total payments=2903+ 870.90
total payments= 3,773.90
monthly payment=3,773.90/18
monthly payment= 209.66
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How many 250ml containers can fill a 5 litter container?
Answer:
20
Step-by-step explanation: