The gradient is -4/5, so the equation is of the form
[tex]y=-\frac{4}{5}x+c[/tex]
Substituting in the coordinates (4, -2),
[tex]-2=-\frac{4}{5}(4)+c \\ \\ c=\frac{6}{5} \\ \\ \therefore y=-\frac{4}{5}x+\frac{6}{5}[/tex]
Necesito ayuda con los ejercios 3,5,7,9,11,13
Slope of the line passing through (-5,-4) and (-1,3)is 1.75
The slope formula
slope = (y₂ - y₁) / (x₂ - x₁)
Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.
The points belong to an increasing, linear function.
Equation: y = 1.75x + 4.75.
m=7/4=1.75.
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A Laboratory technician needs to make a 81-liter batch of a 20% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration
Answer:
You would need 9 liters of pure acid and 72 liters of 10% acid to make a mixture of of 81 liters of 20% acid.
Step-by-step explanation:
See attached picture.
3y + 6 = 4 - 7y
solve for y and show steps!
Answer:
3y+7y=4-6
10y= -2
y= -2÷10
y =1/2
Ans
A zero-order reaction of reactant a is found to have [a]0=0.25 m. if [a]=0.10 m at t=100. s, what is the rate constant k?
The rate constant K is 0.0015.
Zero-order reaction of reactant a is found to have [a]0=0.25 m and
if [a]=0.10 m at t=100s, then we need to find the rate constant k.
What is the formula for rate constant k?The rate constant, k, is a proportionality constant that indicates the relationship between the molar concentration of reactants and the rate of a chemical reaction
k=([a]0-[a])/t
where k is rate constant,
By the given data we have [a]0=0.25 m
[a]=0.10 m
t=100s
k=?
The rate constant, is a proportionality constant that indicates the relationship between the molar concentration of reactants and the rate of a chemical reaction.
The rate constant is denoted by k.
k=([a]0-[a])/t
Subtract 0.10 from 0.25 and divide it by 100
=(0.25-0.10)/100
=0.15/100
=0.0015
Therefore 0.0015 is the rate constant when a zero-order reaction of reactant a is found to have [a]0=0.25 m and [a]=0.10 m at t=100.
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Answer and how to solve this
Translate the phrase into an algebraic equation:
m+6
Solve:
39
Step-By-Step:
If m = 33, then the equation would just be 33 + 6, which equals 39
Evaluate 40-15/t for t=5 step by step
Answer:
37
Step-by-step explanation:
Evaluate 40-15/t for t=5 step by step
first, remember PEMDAS
substitute in 5 for t
40-15/5
since division (D) comes before subtraction (S) in PEMDAS, we divide first
15/5 is 3
we are left with
40-3
if we subtract, we are left with
37
Answer:
37
Step-by-step explanation:
PEMDAS
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
^
This is the order you should complete your problem in...
Find the equation of the line show
Answer:
the equation is y=1/2+0.5
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use.
With one method, the one-time will total $13,238, and the variable costs will be $24.75 per book.
With the other method, the one time fixed costs will total 50,107, and variable costs will be 11.75 per book. For how many books produced will the costs from the two methods be the same?
2836 numbers books produced will the costs from the two methods be the same.
From the given data
There are two production methods could be used so we can get two equations for cost (c) from two methods
Let x be the numbers of books produced.
Now, To calculate the total production cost.
Total production cost by selling books = Fixed one time cost + Cost for production of books.
From method 1 the equation we get
C = 24.75x + 13238
and from method 2 the equation we get
C = 11.75x + 50107
Method 1 cost = Method 2 cost
24.75x + 13238 = 11.75x + 50107
24.75x - 11.75x = 50107 - 13238
13x = 36869
x = 36869/13
x = 2836
x = 2836 numbers of books will have same cost.
How can I create a mathematical expression using the provided description?By using variables, you may represent the unknowable amounts. As you follow the description, perform each mathematical conversion individually. For instance, if you are asked to increase an item by 4, you can do it by adding 4 to the item. There are various ways to translate descriptions into mathematical formulas, such as multiplying something by 2 if it is, for instance, doubled.
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Please help due soon.
Answer:
Step-by-step explanation:
Answer:D
Step-by-step explanation:
A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2. how far is the point from the axis of rotation of the second hand?
The distance of point from the axis of rotation of the second hand is 8.2 cm.
Here,
A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.
We have to find the distance of point from the axis of rotation of the second hand.
What is Rotation?
The circular motion of an object around the circle is called Rotation.
Now,
Let us consider the equation for the centripetal acceleration given by;
[tex]a_{c} = \frac{v^{2} }{r}[/tex]
where, v is the velocity and r is the radius.
Now, the velocity can be expressed as;
[tex]v = wr = \frac{2\pi r}{T}[/tex]
where, ω is the angular velocity and T is the period.
Solving for the radius using these equations given as;
[tex]a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm[/tex]
Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.
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Two students are running on a circular path. It takes the first student 20 minutes to complete one lap, and it takes the second student 35 minutes to complete one lap. If they both start at the same time and run in the same direction, when will they meet each other at the starting point?
5 minutes
55 minutes
140 minutes
175 minutes
The time they would both meet at the starting point is 140 minutes (third option).
When would they meet at the starting point?The time they would both meet at the starting point will be a common multiple of the time it takes each of them to complete a lap.
A multiple of a number is the product of an integer and that number. A common multiple is a multiple that is common to two or more numbers.
Multiple of 20 = 20, 40, 60, 80, 100, 120, 140
Multiple of 35 = 35, 70, 105, 140, 175
Lowest common multiple of 20 and 35 = 140
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PLEASE DUE TODAY!! Which remarkable thing was made bye the Mound Builders? (A) boat canals (B) buffalo traps
(C) large cities (D) coastal towers (BTW will give 20 points and brainly)
The remarkable thing that was made by the Mound Builders is (C) large cities
How to illustrate the information?In the Ohio River Valley, Native American tribes constructed mounds and enclosures for burial, religious, and even defense purposes. For dramatic effect, they frequently constructed their mounds on or near tall cliffs or bluffs, as well as in rich river valleys.
Mound Builders were not one particular group of people; rather, they were pre-Columbian tribal groups that erected massive earthen constructions known as mounds throughout North America. These mounds were used as houses, burial grounds, and ceremonial hubs, among other things.
In conclusion, the remarkable thing that was made by the Mound Builders is large cities.
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On Wednesday, a local hamburger shop sold a combined total of 544 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answerham=136
Step-by-step explanation:
ham=x,,cheese=3x....=544...4x=544 which makes x to be 136 which is the no of hamburgers
If four dice are rolled, what is the probability of obtaining two identical odd numbers and two identical even numbers?
Answer:
1/24 = 0.041666666...
Step-by-step explanation:
when rolling 4 dice, we have
6 × 6 × 6 × 6 = 6⁴ = 1296
different possible outcomes (each die has 6 possible outcomes).
so, the probability of any particular pattern is then
1/1296.
we need to find how many patterns there are to represent the desired result of 2 identical odd numbers combined with 2 identical even numbers.
there are on every die 3 out of 6 options for an odd number, and the other 3 out of 6 options for an even number.
when we roll 2 dice, the patterns for 2 identical odd numbers are
1 1
3 3
5 5
so, 3 out of the possible 36.
similar for 2 identical even numbers.
2 2
4 4
6 6
3 out of the possible 36.
so, combining this together for a roll of 4 dice, we get then
3 × 3 out of the possible 36 × 36
9 out of the possible 1296 patterns.
that means the probability (desired over total possible cases) for a specific combination of 2-and-2 dice is
9/1296 = 1/144 = 0.006944444...
but there are 4! / (2! × 2!) = 6 possibilities (pick 2 out of 4, where the sequence of the picked ones does not matter) to pick 2 dice out of 4 and to show the same pattern across the 4 dice, as e.g. for the basic pattern 1 1 2 2 we can have
1 1 2 2
1 2 1 2
1 2 2 1
2 1 2 1
2 1 1 2
2 2 1 1
all of the 9 patterns have these 6 combination possibilities.
so, we need to multiply the individual pattern probability by 6 for the total probability
1/144 × 6 = 6/144 = 1/24 = 0.041666666...
Jason is driving his car at 55mi/h he needs to keep his car within 5 mi/h of his current speed. write and solve an absolute-value equation to find jason's max and min speeds.
The absolute-value equation to find Jason's max and min speeds is |x| = |55 ± 5| mi/h and the maximum speed is 60 mi/h and the minimum speed is 50 mi/h.
Absolute Value equation:
An absolute value equation in the form | ax + b | has the following properties:
If c < 0 , | a x + b | = c has no solution .
If c = 0 , | a x + b | = c has one solution .
If c > 0 , | a x + b | = c has two solutions .
Given,
Jason is driving his car at 55mi/h he needs to keep his car within 5 mi/h of his current speed.
Here we need to write solve an absolute-value equation to find Jason's max and min speeds.
We know that, the current speed = 55 mi/h
And he want to keep the speeds within 5 mi/h of his current speed.
Let x be the unit that measure the maximum and minimum speed.
So,
The maximum speed.
|x| = 55 + 5 = 60 mi/h
and the minimum speed,
|x| = 55 - 5 = 50 mi/h
So, the absolute value of the equation is,
|x| = |55 ± 5| mi/h
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(50 Points!!!)
Gwen is finding the area of the shaded sector in the given circle, which has a circumference of 6 units.
Identify the step where Gwen first made an error.
A. Step 5
B. Step 6
C. Step 3
D. Step 7
The step in which Gwen made an error for the area of the shaded region in the circle is given by:
A. Step 5.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by:
C = 2π r.
For this problem, the circumference is of 6π units, hence the radius is given as follows:
6π = 2π r.
r = 6/2.
r = 3 units.
What is the area of a circle?The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:
A = πr².
The entire area of the circle englobes 360º, but we want only the area at an angle of 72º, hence it is given by:
A = (72/360) πr².
Which is where Gwen made an error, at Step 5, hence option A is correct.
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If your car gets 34 miles per gallon, how much does it cost to drive 330 miles when gasoline costs $3.40 per gallon?
Answer:
$33.
Step-by-step explanation:
330 miles x (1 gal/34 miles) x ($3.40/gal)= $33.
I hope this helps, have a blessed day! :)
Answer: $33
Step-by-step explanation:
1 gallon=$3.40
Hence,
Make a proportion:
34 milles - $3.40
330 milles - x gallones
Thus,
[tex]\displaystyle\\x=\frac{330*3.40}{34} \\\\x=\frac{33*34}{34}\\\\x=33\ dollars[/tex]
The function h (x) = startfraction 2 (x 3) over x endfraction is a result of the composition (g ∘ f)(x). if g (x) = startfraction 2 over x endfraction, what is f(x)? f (x) = startfraction 1 over x 3 endfraction f (x) = startfraction x over x 3 endfraction f(x) = x 3 f (x) = startfraction x 3 over x endfraction
The value of the function f(x) = 2x/(2x + 3).
What is defined as the function?A function is defined as a relationship between a set of inputs that each have one output.
A function is a connection between inputs in which each input is related to precisely one output. Every function does have a domain and a co-domain, as well as a range. In general, a function is denoted by f(x), where x is the input.Now, as per the question, the functions are give as;
h(x) = (2x + 3)/x
g(x) = 2/x
And, g(f (x) ) = h(x) = (2x + 3)/x ......(equation 1)
To estimate the value of f (x); Substitute x for f(x)
g(f (x) ) = 2/f (x) ......(equation 2)
Equation (equation 1 and 2).
2/f (x) = (2x + 3)/x
f (x) = 2x/ (2x + 3)
Thus, the value of the function f (x) = 2x/ (2x + 3).
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The correct question is-
The function h (x) = StartFraction 2 (x + 3) Over x EndFraction is a result of the composition (g compose f) (x). If g (x) = StartFraction 2 over x EndFraction, what is f(x)?
Lupita has five times as much money as David. Lupita also has $20 more than David. How much money does each person have?
Lisa is making activity baskets to donate to charity. She has 12 coloring books, 28
markers, and 36 crayons. What is the greatest number of baskets she can make if each
type of toy is equally distributed among the baskets? How many of each supply will go
into the baskets? GCF *
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil? 5,730 years old 34,380 years old 40,110 years old 45,840 years old?
Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.
What is calibration?Calibration is the comparison of measurement values delivered by a device under test with those of a calibration standard of known accuracy in measurement technology and metrology. A standard could be another known-accuracy measurement device, a device that generates the quantity to be measured, such as a voltage or a sound tone, or a physical artifact, such as a meter ruler. Calibration's goal is to reduce measurement uncertainty by ensuring the accuracy of test equipment. Calibration quantifies and controls measurement errors or uncertainties to an acceptable level.So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.
Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.
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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?
a. 5,730 years old
b. 34,380 years old
c. 40,110 years old
d. 45,840 years old
A rectangular bathroom mirror has a perimeter of 24 feet and an area of 20 square feet. What are the dimensions of the mirror?
A rectangular bathroom mirror having a perimeter of 24 feet and an area of 20 square feet, The length and breadth of rectangle are 10 feet and 2 feet respectively.
Given,
perimeter of the rectangle = 24 feet
area of rectangle = 20 sq. feet
Formula of perimeter of rectangle = 2(L + B)
where L = length of the rectangle , Breadth of the rectangle.
⇒ 24 = 2(L + b)
⇒ 12 = L + B
⇒ L = 12 - B ........(1)
Formula of area of rectangle = L × B
⇒ 20 = L × B
⇒ L = 20 / B .......(2)
From (1) and (2)
equating two equations,
12 - B = 20 / B
⇒ 12B = 20 + B²
⇒ B² - 12B + 20
On solving,
⇒ B = 10, 2
So, the Length and breadth of rectangle are 10 feet and 2 feet
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The number of rabbits on a farm at the end of month n is Pn The number of rabbits at the end of the next month is given by Pn+1 = 1.2P - 50 At the end of March there are 200 rabbits on the farm. (a) Work out how many rabbits there will be on the farm at the end of June. (b) Considering your results in part (a), suggest what will happen to the number of rabbits on the farm after a long time.
We need to know how to solve the equations by substituting values for this problem. (a)The number of rabbits on the farm at the end of June is 164 and (b) after a long time the number of rabbits on the farm will become zero.
In the given question we know that the number of rabbits on a farm at the end of month n is [tex]P_{n}[/tex] and that the number of rabbits at the end of the next month is [tex]P_{n+1} =1.2P_{n} -50[/tex]. We know that the number of rabbits at the end of March is 200, so we can have [tex]P_{1}[/tex]=200, we need to find the number of rabbits at the end of June, which will be [tex]P_{4}[/tex], we can form an equation from here
[tex]P_{4} =1.2P_{3} -50[/tex]
Since we don't know what [tex]P_{3}[/tex] is we can replace it by [tex]P_{2}[/tex] and then replace that by [tex]P_{1}[/tex].
[tex]P_{4} =1.2P_{3} -50\\P_{4} =1.2(1.2P_{2} -50)-50\\P_{4} =1.2(1.2(1.2P_{1} -50)-50)-50 = 1.2(1.44P_{1} -60-50)-50=1.728P_{1} -72-60-50=1.728P_{1} -182[/tex]
We know that [tex]P_{1} =200[/tex]
So, [tex]P_{4}[/tex]=1.728x200-182=345.6-182≈164
Therefore the number of rabbits at the end of June is 164 and after a long time the number of rabbits on the farm might become zero since the number of rabbits is decreasing with every month.
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misha is the 50th best as well as the 50th worst student in her grade. how many students are in misha's grade?
There are 99 students in Misha's grade.
What do we mean by Venn diagrams?A Venn diagram is a popular diagram style that shows the logical relationship between sets. It was popularized in the 1880s by John Venn (1834-1923). The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach elementary set theory and to illustrate simple set relationships. To represent sets, a Venn diagram employs simple closed curves drawn on a plane. These curves are frequently circles or ellipses.So,
We'll make a Venn diagram (consider the diagram given below).Misha is common in both groups.According to the diagram, 49 + 49 + 1 = 99.Therefore, there are 99 students in Misha's grade.
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Keisha cuts a triangle from a rectangular strip of cloth. What type of triangle did Keisha cut?
A. Scalene,Right
B. Scalene, Acute
C. Isosceles, Right
C. Isosceles, Acute
Answer: i think its d
Step-by-step explanation:
Which of the points a(8, 0, 6), b(9, 6, 2), and c(2, 9, 3) is closest to the yz-plane? which point lies in the xz-plane?
The point closest to -
the yz-plane is c(2, 9, 3).the xz-plane is a(8, 0, 6).What is a plane in 3-D?A plane is a two-dimensional flat surface that can extend indefinitely. A plane would be the two-dimensional equivalent of a point with zero dimensions, a line with one dimension, and three-dimensional space.
The equation is written on a three-dimensional plane is;ax+by+cz+d=0,
where minimum one number out of a, b, and c must be non-zero.
In 3D coordinate space, a plane is defined by a point and a vector perpendicular to the plane.Now, as per the question;
A point (x, y, zdistance )'s from the yz plane is equal to |x|.
As a result, for small |x|, the point would be closest to the yz plane.
C does have the smallest among A, B, and C that is |x| = 2.
Thus, c point is closest to yz-plane.
If the point is in the xz-plane, after which y equals 0.
Only A has a y value of zero.
As a result, A is in the xz-plane.
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Different plans are available from two cellphone carriers. AT&K charges a monthly flat rate of $100 plus $10 for each gigabyte of data used,verikon communications does not have a flat rate, but instead charges $40 for each gigabyte of data used let c represent your total cost and d represent the data used. What is the equation system that represents these two plans
The equation system to represent these two plans is:
c=100+10d, c=40d where c is the total cost and d represents the data used.
We have to understand the plans provided by AT&K and Verikon separately to find the equation system. We know that the total cost incurred is c and the amount of data used is d. It is given that AT&K charges a monthly flat rate of $100 and additional $10 for every gigabyte of data used. We can say that for a month the total cost incurred from AT&K is $100 plus $10xd, the amount of data used.
c=100+10d
For verikon it is given that it does not have any flat monthly rate and it charges $40 for each gigabyte of data used.We can easily say that the total cost in this case is $40 multiplied to amount of data used.
c=40d
Thus the system of equation for the two different plans is
c=100+10d and c=40d
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If a closet organizer has a total width of 69 1/8 inches and the closet is 69 3/4 inches wide, will the organizer fit?
Yes the organizer will fit. See the explanation of the word problem below.
How do you know that the organizer will fit?Because 3/4 = 6/8,
69 6/8 is larger than 69 1/8 by 5/8".
That is 6 eighths minus 1 eighth is 5 eighths).
Hence, we may disregard the 69 inches because there is no difference in total inches.
The only distinction is in fractions of an inch.
Hence the organizer will be able to fit inside the closet.
What is a word problem?A word problem in mathematics is a math question expressed in one or more sentences that demands students to apply their arithmetic skills to a'real-life' setting.
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three quarters of the 84 crayons are broken. How many crayons are broken?
Answer:
63 crayons are broken
Step-by-step explanation:
84 ÷ 4 = 21
21 x 3 = 63
can be checked by 84 - 63 = 21
Please Help!!
Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve.
6x^(2)-x-2=0
the discriminant is:
D = (-1)^2 - 4*(-2)*6 = 49
We have a positive discriminant, which means that we have two real solutions.
How to find the discriminant?
For the general quadratic equation, the discriminant is:
a*x^2 + b*x + c = 0
The discriminant is:
D = b^2 - 4ac
In this case, the quadratic equation is:
6*x^2 - x - 2 = 0
Then we have:
a = 6, b = -1, c = -2
Replacing that in the discriminant equation:
D = (-1)^2 - 4*(-2)*6 = 49
We have a positive discriminant, which means that we have two real solutions.
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