Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm, An award for creating the monster causes these feelings.
How does Victor first react to the monster and what happens to both after the first encounter?Victor is the first to enter and is relieved to see no evidence of the creature. But, exhausted by months of labour and the horror of the creature he has created, he becomes ill with a nervous fever that lasts several months.Victor begins to grasp, for the first time, that what he has made is not only the scientific result of an experiment in animated matter, but a genuine living entity with needs and desires.He informs Victor that all of his horrible deeds stemmed from his desperate loneliness. He offers to take his new friend to South America, where they will hide in the bush away from human interaction. He claims that with the sympathy of a fellow monster, he will no longer be compelled.'Frankenstein,' by Mary Shelley, is the narrative of Victor, who creates a monster with the goal of generating life. He was a genius in college, and he created a monster. His own creation was a failure.To learn more about Frankenstein, refer,
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Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm, An award for creating the monster causes these feelings.
How does Victor first react to the monster and what happens to both after the first encounter?Victor is the first to enter and is relieved to see no evidence of the creature. But, exhausted by months of labor and the horror of the creature he has created, he becomes ill with a nervous fever that lasts several months.Victor begins to grasp, for the first time, that what he has made is not only the scientific result of an experiment in animated matter, but a genuine living entity with needs and desires.He informs Victor that all of his horrible deeds stemmed from his desperate loneliness. He offers to take his new friend to South America, where they will hide in the bush away from human interaction. He claims that with the sympathy of a fellow monster, he will no longer be compelled.'Frankenstein,' by Mary Shelley, is the narrative of Victor, who creates a monster with the goal of generating life. He was a genius in college, and he created a monster. His own creation was a failure.To learn more about Frankenstein, refer,
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Pete's appliance received a bill dated July 15 for $26,000 with terms of 2/10, 1/15, n/60. On July 27 Pete sent in a partial payment of $6,000. What is the amount credited as well as the balance due?
The amount that would be credited, given the partial payments and the terms, would be $6, 060.61. The balance due would be $19, 939.39.
How to find the balance due?The terms 2/10 and 1/15 mean that if the buyer pays their bill in 10 days, they get a 2% discount. If they pay in 15 days, they get a 1% discount.
Pete paid on the:
= 27 - 15
= 12 days
This means that the 1 % discount would apply on the $6, 000. The credited amount would be:
= 6, 000 / (1 - 1%)
= $6, 060.61
The balance due would be:
= 26, 000 - 6, 060.61.
= $19,939.39
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The expression 45h +225 represents the total cost in dollars of
renting a large party tent from a local rental store for h hours. Jamal's
parents are willing to spend between $500 and $750 for the tent.
Part A. Write an inequality to represent the possible lengths of time
the tent can be rented.
Part B. Using your inequality in Part A, what is one possible length of
time the tent could be rented? Give your answer in number of hours.
Part A Write an inequality to represent the possible lengths of time
the tent can be rented
[tex]6.11\leq h\leq 11.66[/tex]
Part B. Using your inequality in Part A, what is one possible length of
time the tent could be rented
[tex]6hr 6min\leq h\leq 11hr39min[/tex]
The definition of a linear inequality
The inequality symbol is used to compare two mathematical expressions in what are referred to as linear inequalities. The expression could be both numerical and algebraic, or it could just be one.
What does a linear inequality in mathematics look like?
What Is an Example of Linear Inequality? An example is the linear inequality x - 5 > 3x - 10. The LHS is obviously greater than the RHS because the greater than symbol is being utilized in this inequality. After being resolved, the inequality appears as follows: 2x 5 x (5/2).
Given That
45h+225 is total cost in dollars for renting tent and parents are willing to spend between $500 and $750 for the tent.
Part A
[tex]500\leq 45h+225\leq 750\\500-225\leq 45h+225-225\leq 750-225\\275\leq 45h\leq 525\\\frac{275}{45} \leq h\leq \frac{525}{45} \\6.11\leq h\leq 11.66[/tex]
Part B
[tex]6.11hr\leq h\leq 11.66hr[/tex]
6.11 hr = 366 minute approx.
11.66 hr = 699 minute approx.
[tex]6hr 6min\leq h\leq 11hr39min[/tex]
Hence this is the answer
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Given (0.25 x 12.3) x 8, which two numbers are compatible, and which
property would you use to calculate this mentally?
4a) Two numbers
4b) Property
The two numbers that are compatible are 0.25 and 8. The property which helps to calculate it is commutative property.
What is the commutative property?
This law merely asserts that while adding and multiplying integers, you can rearrange the numbers in a problem without changing the solution.
Given numerical expression is (0.25 x 12.3) x 8.
First remove the parenthesis from the numerical expression:
(0.25 x 12.3) x 8 = 0.25 x 12.3 x 8
Now apply commutative property:
(0.25 x 12.3) x 8 = (0.25 x 8) x 12.3
(0.25 x 12.3) x 8 = 2.00 x 12.3
(0.25 x 12.3) x 8 = 24.6
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1. Which expression has a whole-number product?
(A) (4- 2i) (4 - 2i)
(B) (3 + 2i) (3 - 2i)
C (-6+ i)(3- i)
D(-4+3i)(4-3i)
Option (B) (3 + 2i) (3 - 2i) is the expression that has the whole number product.
Whole number:
Whole number refers the numbers without fractions and it is a collection of positive integers and zero and represented by the symbol “W” and the set of numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……………}.
Given,
Here we have the following expression:
(A) (4- 2i) (4 - 2i)
(B) (3 + 2i) (3 - 2i)
(C) (-6+ i)(3- i)
(D) (-4+3i)(4-3i)
Now, we need to find the whole number product.
In order to find the solution we have to perform the multiplication on the given expression,
First expression will gives the following,
(A) (4 - 2i) (4 - 2i)
When we apply the (a-b)² formula in it then we get,
=> 4²+ (2i)² - (2 x 4 x 2i)
=> 16 - 4 - 16i
=> 12 - 16i
Which is not a whole number product.
Second expression,
(B) (3 + 2i) (3 - 2i)
Apply the (a + b)(a - b) formula in it,
Then we get,
=> 3² - (2i)²
=> 9 + 4
=> 13
Therefore, this one is the whole number product.
Third expression,
(C) (-6 + i) (3 - i)
When we perform the multiplication on it, then we get,
=> -18 + 6i +3i -i²
=> -18 + 9i + 1
=> -17 + 9i
his one is not a whole number product.
Final expression,
(D) (-4 + 3i) (4 - 3i)
When we perform the multiplication on it, then we get,
=> -16 + 12i + 12i - (3i)²
=> -16 + 24i + 9
=> -7 + 24i
This one is also no the whole number product.
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Pahelpppp po pang grade 6 po yan na math
5k+(2k)-(-1)……………..
……………………
Translate the equation into a verbal sentence 8-x=2
Answer:
See below
Step-by-step explanation:
Eight minus unknown quantity 'x' equals two.
The total number of restaurant-purchased meals that the average person will eat
in a restaurant, in a car, or at home in a year is 169. The total number of these
meals eaten in a car or at home exceeds the number eaten in a restaurant by
13. Twenty more restaurant-purchased meals will be eaten in a restaurant than
78 meals are eaten in a restaurant, 58 meals are eaten in a car, 33 meals are eaten at home and the question is solved by using linear equations.
What is the linear equation?
A linear equation is an algebraic equation of the form y =mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Given that the total number of meals is 169.
Assume that,
a = number of meals eaten in a restaurant
b = number of meals eaten in a car
c = number of meals eaten at home
a + b + c = 169 .....(i)
Since the total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 13.
Thus b + c = a + 13 .....(ii)
Again twenty more restaurant-purchased meals will be eaten in a restaurant than at home.
a = 20 + c .....(iii)
Subtract equation (ii) from (i)
a + b + c - b - c = 169 - a - 13
2a = 156
Divide both sides by 2
a = 78
Substitute a = 78 in equation (iii)
78 = 20 +c
c = 58
Putting c =58 and a =78 in equation (ii)
b + 58 = 78 + 13
b = 33
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Question:
The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 169. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of restaurant-purchased meals eaten in a restaurant, the number eaten in a car, and the number eaten at home.
How can i find the domain
Complete steps to find domain of function is describe below.
What is domain ?Domain is defined as the all input values which satisfy the function or can say all inputs any function have.
Steps to find the domain of function:suppose we have a function f(x) = 6x^2 + 5x - 4
For domain solve it for x
⇒ 6x^2 + 5x - 4
⇒ 6x^2+ 8x - 3x - 4
⇒ 2x(3x + 4)· -1(3x + 4)
⇒ (3x + 4) (2x - 1)
values of x are positive for quadratic equation,
⇒ (3x + 4) (2x - 1)≥0
⇒ x ≥ 1/2 or x ≥ -4/3
These are the domain of function.
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step by step solution
x+1≥ 3or4/3x<-8
Answer:
Step-by-step explanation:
The answer for this can be an inequality or an interval notation or a graph
* Subtraction of (1) in both sides of the inequality
* Let's call part A: [tex]X+1\geq 3[/tex]
* Let's call part B: [tex]\frac{4}{3} X < -8[/tex]
* Solve part A first:
Do the subtraction of (1) on both sides of the inequality.
X ≥ 3 −1
X ≥ 2
Subtract
* Solve part B now:
Multiply for 3/4 both sides of the inequality to eliminate the [tex]\frac{4}{3}[/tex]
[tex]\frac{4}{3} X (\frac{3}{4} < -8 (\frac{3}{4})[/tex])
X < -24/4
X < -6
Answer
Inequality Form:
x < −6 or x ≥ 2
Interval Notation:
( − ∞,−6)∪[2,∞)
In Graph:
See the attach
A speed limit in Europe is 80 km per hour. What is the speed in miles per hour? There are about 1.6 kilometers in 1 mile. (1 point)
Responses
50 miles per hour
50 miles per hour
75 miles per hour
75 miles per hour
128 miles per hour
128 miles per hour
50 miles
ned asap
pls answer rightly not spam
Answer:
50 miles per hour
Step-by-step explanation:
80 km 1 mi
---------- x ------------ = 50 mi/hr
1 hr 1.6 km
what the area and pelase explain give brainly points
Answer: 10 squares
Step-by-step explanation:
The answer for the area is 10 squares but I’m not sure that’s what they’re asking for.
Finding slope for (-1,1) and (5,4)
Answer:
Slope = 0.75
Step-by-step explanation:
Slope Formula: y2-y1/x2-x1
4-1/5-1=3/4=0.75
Question 3(Multiple Choice Worth 1 points)
(02.04 MC)
In triangle DEF, if mZD = (2x)°, mZE = (2x - 4)º, and mZF = (x + 9)°, what is the value of x?
A)35
B)37
C)44
D)71
By using property of triangle and trapezium, it is obtained that
a) value of x is 35°
b) Third option is correct
What is a triangle and trapezium?
Triangle is a three sided two dimensional figure.
Trapezium is a quadrilateral whose one pair of opposite side is parallel and another pair of opposite side is non parallel
Here property of triangle is used
[tex]m \angle D = (2x)^{\circ}, \ m\angle E = (2x - 4)^{\circ}, m \angle F = (x +9)^{\circ}[/tex]
[tex]m \angle D + m\angle E + m \angle F = 180\\2x + 2x - 4 + x + 9 = 180\\5x + 5 = 180\\5x = 180 - 5\\5x = 175\\x = \frac{175}{5}\\x = 35^{\circ}[/tex]
In the second question, if the trapezoid is rotated 90° clockwise, then (x, y ) will change to (y, -x) and new coordinate of A is (1, 5)
Third option is correct
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Kenneth is making a cake for the first time. His recipe calls for 280 grams of sugar, but he accidentally pours 295 grams on his first try. He uses a small spoon to remove the extra suger. If he needs to remove 12 spoonfuls, how many milligrams of sugar does his spoon hold?
The spoon holds 1250 milligrams of sugar if Kenneth needs to remove 12 spoonfuls.
We are given;
Kenneth is making a cake for the first time.
His recipe calls for 280 grams of sugar, but he accidentally pours 295 grams on his first try.
He uses a small spoon to remove the extra sugar.
He needs to remove 12 spoonfuls.
We need to find the quantity of sugar his spoon hold.
First, let us find the extra amount of sugar;
Extra sugar = 295 - 280 = 15 grams.
We will find each spoon by using the unitary method;
Since 12 spoonfuls hold 15 grams.
So, 1 spoonful holds 15 / 12 grams = 1.25 grams = 1250 milligrams.
So, 1 spoonful holds 1250 milligrams of sugar.
Thus, the spoon holds 1250 milligrams of sugar if Kenneth needs to remove 12 spoonfuls.
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When Max was a puppy, he weighted 5 1/2 pounds. At his 1-year check-up with the vet, Max weighted 15.8 pounds. How much weight did Max gain between the time he was a puppy and his 1-year check-up?
Max gain 10.3 pounds of weight between the time he was a puppy and his 1-year check-up.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
When Max was a puppy, he weighted [tex]5\frac{1}{2}[/tex] pounds
At his 1-year check-up with the vet, Max weighted 15.8 pounds
We need to find the weight did Max gain between the time he was a puppy and his 1-year check-up.
To find this we need to find the difference when Max was a puppy and after one year check up.
Difference is nothing but subtracting one value from another value.
Let us convert mixed fraction [tex]5\frac{1}{2}[/tex] pounds to improper.
[tex]5\frac{1}{2}[/tex] =11/2=5.5
Now subtract 15.8-5.5
10.3 pounds.
Hence, max gain 10.3 pounds of weight between the time he was a puppy and his 1-year check-up.
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3. what is the probability of drawing four red cards in a row without replacement.
out of a standard deck with 52 playing cards
Answer: There are 52 cards in a standard deck and half of them, 26 in all, are red.
Suppose that you are drawing 4 cards without replacement from a thoroughly shuffled deck. You have 26 cards choose 4 over 52 choose 4.
∴ P(pulling 4 cards from deck) = (264)(524)
What’s the the anwser?
The solution to the compound inequality is x < 3 and x >6. The graph of the solution is shown.
What is inequality?The relation between two unequal expressions is defined as inequality.
The given inequalities are 3x + 6 < 15 and 2x - 5 >7.
Solve the first inequality:
3x + 6 <15
3x < 15 -6
3x < 9
x < 3
Solve the second inequality:
2x - 5 > 7
2x > 7 + 5
2x > 12
x > 6
Hence, the solution to the compound inequality is x < 3 and x >6.
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Use the formula F = mg-3t²
m = 4, g = 6 and t = 2
1. Which is an important aspect of a randomized survey's design?
A. The survey should always contain at least 5 questions.
B. Each survey question should have at most 3 choices.
C. The survey participants should be randomly selected.
D. The survey should have questions for multiple populations.
2. Identify the leading question.
A. How much would you be willing to pay for a new living room furniture set?
B. During what time of day are you most likely to watch TV?
C. How interested would you be in purchasing a blue car?
D. How much did you enjoy your great experience at our waterpark?
3. Frederick is creating a plan to conduct a randomized survey. He will be asking guests at a baseball stadium to rate their experience. At which location should he take the survey to ensure randomization?
A. the section of seats directly behind home plate
B. the hot dog stand
C. the stadiums front gate
D. the gift shop
Answer: 1) C- the survey participants should be randomly selected
2) C- how interested would you be in purchasing a blue car?
3) C- the stadiums front gate
Step-by-step explanation: I took the quick check.
Answer:
1. c
2. d
3. c
Step-by-step explanation:
Help it’s due tmr…………..
Answer:
7
Step-by-step explanation:
13x - 7 + 30 = 30 + 84
13x - 7 + 30 - 30 = 30 - 30 + 84
13x - 7 = 84
13x = 84 + 7
13x = 91
x = 91 / 13
x = 7
Alicia deposited $400 in the bank. The bank paid her simple interest at the rate of 5 percent
she have in her account at the end of 6 months?
O $10
O $20
O $410
O $420
At the end of 6 months she will have $410 when calculated using simple interest.
What is simple interest?
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
Main Body:
Principle =$400
Rate = 5%
Time = 6 months = 1/2 years
Simple interest = P*R*T/100
S.I. = 400*5*(1/2)/100
S.I. = 10
Hence total amount is 400+ 10= $410.
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F(x)=3x^4-4x^3+x^2+6x-2
The rational zeros for f(x) = 3x^4 - 4x^3 + x^2 + 6x - 2 are x = -1 and x = 1/3 whereas the linear factors of f(x) are (x + 1) and (3x - 1).
We will use the synthetic division method to determine the rational zeros and linear factors of given polynomials.
Polynomials are divided via synthetic division.
The procedure entails of synthetic division:
Step 1: Create a synthetic divide.
Step 2: Bring the leading coefficient down to the bottom row.
Step 3: Divide this by the value stated in the bottom row.
Step 4: Finally, add the column you defined in step 3.
This can proceed as:
Given: f(x) = 3x⁴- 4x³ + x² + 6x - 2
3x⁴ - 4x³ + x² + 6x - 2 = 0
We will put x = -1 in f(x). In this case, replace x with -1. This will be:
f(-1) = 3 * 1⁴ - 4 * 1³ + 1² + 6 * 1 - 2 = 0
Since f(-1) = 0, so (x + 1) is a factor of f(x).
Using synthetic division:
-1)....3....-4....1....6....-2
.........3.....-7...8....-2..|..0
Remainder = 0
Quotient = 3x³ - 7x² + 8x - 2
For 3x³ - 7x² + 8x - 2, f(1/3) = 0, so (x - 1/3) is a factor.
1/3)....3....-7....8....-2
..........3.....-6...6...|..0
Remainder = 0
Quotient = 3x² - 6x + 6 = 3(x² - 2x + 2)
Because x² - 2x + 2 has no more rational zeros or linear components. The rational zeros are hence x = -1 and x = 1/3.
Thus, the rational zeros for f(x) = 3x^4 - 4x^3 + x^2 + 6x - 2 are x = -1 and x = 1/3 whereas the linear factors of f(x) are (x + 1) and (3x - 1).
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Suppose a basketball player has made 215 out of 322 free throws. If the player makes the next 2 free throws, I will pay you $32. Otherwise you pay me $24. Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
The expected value of the proposition is -$1007.41
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
P(X = x) = [tex]C_{n},x.p^x.(1-p)^n^-^x[/tex]
In which [tex]C_{x},x[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{x},x= \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Suppose a basketball player has made 215 out of 322 free throws.
This means that p = 215/322 = 0.6677
2 free throws:
This means that
Probability of making two free throws.
This is P(X = 2).
P(X = x) = [tex]C_{n},x.p^x.(1-p)^n^-^x[/tex]
P(X = 2) = [tex]C_{2},2.(0.6677)^2.(0.3323)^0[/tex] = 0.29629
Expected value:
If he makes both free throws, you earn $24. So 0.29629 probability of you earning $24.
Otherwise, you have to pay $32. 1 - 0.29629 = 31.70371 probability of you losing $32.
E = 0.29629*24 - 31.70371*32 = -1007.41
Hence, The expected value of the proposition is -$1007.41
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You have a budget of $300 to order shirts for a math club. The equation 10x + 12y = 300 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.
a. Interpret the terms and coefficients in the equation.
b. Graph the equation. Interpret the intercepts.
c. Find three possible solutions in the context of the problem.
a) The coefficients are the costs of the respective shirts.
b) The graph can be seen on the image at the end, the intercepts are (0, 25) and (30, 0)
c) 3 solutions are:
(0, 25), (30, 0), (25, 4)
What does each coefficient means?
Here we know that:
x = number of short-sleeved shirtsy = number of long-sleeved shirts.And we have the linear equation:
10x + 12y = 300
The first coefficient is the one in the term "10x"
The coefficient 10 will mean the cost, in dollars, of each short-sleeved shirt.
The second coefficient is on the term "12y"
And 12 means the cost in dollars of each long-sleeved shirt.
b) The graph of the linear equation can be seen on the image at the end.
The y-intercept (when x = 0) is the number of long-sleeved shirts you can buy if you don't buy any short-sleeved one.
The x-intercept is the number of short-sleeved shirts you can buy if you don't buy any long-sleeved one.
c) 3 possible solutions can be seen on the graph, some examples are:
(0, 25), (30, 0), (25, 4)
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A movie producer wants to cast a dog and a cat in her next film, and the talent agency
has 18 dogs and 24 cats to choose from.
How many different dog-cat options are possible for the producer? (please explain)
Step-by-step explanation:
there are 18 dogs to choose 1 dog.
therefore, these are 18 options.
for each of these 18 options there are 24 cats to choose from.
so, altogether, there are
18×24 = 432
dog-cat options.
There are are 432 ways to choose dog-cat options are possible for the producer.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
Total Number of Dogs= 18
Total Number of cats= 24
so, the number easy to select
= 18 x 24
= 432
Hence, there are 432 ways to choose dog-cat options are possible for the producer.
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Write the equation of a line, in slope-intercept form, that is perpendicular to y = - 1/3 x + 4 and passes through the point (-2-5)
The equation of the line perpendicular to the given line is, y = 3x + 1.
What is slope of the line?
The change in y coordinate relative to the change in x coordinate is referred to as a line's slope in mathematics. The symbols Δy and Δx stand for the net change in the y-coordinate and the net change in the x-coordinate, respectively. where "m" denotes a line's gradient. tanθ then represents the slope of a line.
Consider, the given equation of line
[tex]y = -\frac{1}{3}x+4[/tex]
We have to find the equation of line passes through the point (-2, -5) and perpendicular to the given line.
Here, the point is (-2, 5).
First to find the slope of the line.
Since, the slope of the line, perpendicular to the given line is negative reciprocal of the slope of given line.
Here, the slope of given line is, -1/3.
So, the slope of perpendicular line is [tex]-(\frac{1}{(-\frac{1}{3}) }) = 3[/tex]
Therefore, the slope of the line is 3.
Now to find the equation of the line.
Consider, the point - slope form of the line
[tex]y-y_1=m(x-x_1)[/tex]
Plug [tex](x_1, y_1) = (-2, -5) , m = 3[/tex]
⇒
[tex]y-(-5)=3(x-(-2))\\y+5=3(x+2)\\y+5=3x+6\\y=3x+6-5\\y=3x+1[/tex]
Hence, the equation of line in slope - intercept form, is y = 3x + 1.
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Rodrigo needs a total of 3 pounds of vegetables for a stew.
He already has 3/8 pound of onions and 1/3 pound of tomatoes.
How many more pounds of vegetables does he need to buy?
Using mathematical operations of addition and subtraction, Rodrigo needs to buy additional 2⁷/₂₄ pounds of vegetables.
What are mathematical operations?The basic mathematical operations are addition, subtraction, division, and multiplication.
These mathematical operations can be used to determine the results of mathematical expressions.
The total pounds of vegetables required for a stew = 3 pounds
Available pounds of vegetables:
Onions = 3/8 pounds
Tomatoes = 1/3 pounds
The total available pounds = 17/24 pounds
Additional pounds required = 3 - 17/24 pounds
= 2⁷/₂₄ pounds
Thus, based on addition and subtraction, Rodrigo needs additional 2⁷/₂₄ pounds of vegetables.
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Find the volume of the prism. Round to the nearest tenth if necessary.
options: 504.0 cm3 204.7 cm3 252.0 cm3 291.7 cm3
The volume is the amount of space thus the volume of the given prism will be 204.7 cm³ thus option (B) is correct.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of the given prism will be the area of the front triangle with a length of 12 cm.
The form triangle has been attached below,
The length x will be,
x = √(6² - 3.5²) = 4.87 cm.
The area of from triangle = (1/2) × 7 × 4.87
A = 17.06 cm²
The volume of the prism = A × length (12 cm)
Volume = 17.06 × 12 = 204.68 cm².
Hence "The volume is the amount of space thus the volume of the given prism will be 204.7 cm³".
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The complete question has been attached below ;
Pedro has $18 to spend at the grocery store. His mother wants him to use the money to buy fruit. Apples cost $2 a pound and pears cost $3 a pound
Answer:
Pedro can buy 4 pounds of pears and 3 pounds of apples.
Step-by-step explanation:
Pedro has a total of $18, Apples cost $2 a pound, and Pears cost $3 a pound.
$2×3lb + $3×4lb=$18