Answers
Step-by-step explanation:
Since y is on a straight line, it'll be easy
The degree of a straightine is 180
You have one angle of 57, so all we do is subtract 57 from 180
180-57 = 123
Related Questions
Solve for r in terms of q, s, and t.
s = -tqr
r=
Answers
Answer:
I didn't understand the question 100% but I think the question is asking you to give an equation from the given one
so the answer will be
-s divided over tq
ver the next 14 months you have to read at least 42 books. You have to read x books per month. The inequality 14x242 represents this situation. Solve the inequality to
nd the number of books you have to read per month.
ou have to read at leastbooks per month.
Answers
The number of books to read per month is 3 or more.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
14x ≥ 42
Solve for x.
14x ≥ 42
Divide both sides by 14.
x ≥ 42/14
x ≥ 3
This means,
The number of books to read per month is 3 or more.
Thus,
The number of books to read per month is 3 or more.
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what is the size of the key space if all 8 characters are randomly chosen 8-bit ascii characters? how long does the average key search take with a single pc?
Answers
The size of the key space is 256^8, or 2^64. The average key search time would be 2^64/processing power of PC, which would be a very large number.
The question is asking about the size of the key space if 8 randomly chosen 8-bit ASCII characters are used, and how long it would take to find a key on a single PC.
The size of the key space if all 8 characters are randomly chosen 8-bit ASCII characters is 256^8 = 2^64 = 18,446,744,073,709,551,616.
The average key search time with a single PC would be 18,446,744,073,709,551,616 / 2,000,000,000,000 (2 trillion) operations per second = 9,223,372,036,854,775.8 seconds, which is approximately 292,030 years.
The size of the key space for an 8-bit ASCII character is 2^64 combinations. On average, it will take a single PC 2^64 / (processing speed of PC in Hz) seconds to search through the entire key space.
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Question 10:
A plumber cut a
pipe into 5
equal pieces and had 27 cm of the pipe left. For a second
pipe 15m long, he cut 11 pieces of the same length as that of each piece cut from the
first pipe and had 15 cm of the second pipe left. What was the length, in cm, of each
shorter piece of the second pipe? What was the length of the first pipe originally?
Answers
If a plumber cut a pipe into 5 equal pieces and had 27 cm of the pipe left. the length of the first pipe originally is 702 cm.
How to find the length?Let's call the original length of the first pipe "L"
Let the length of each of the 5 equal pieces "x".
set up the equation:
5x + 27 = L
Each piece of the second pipe is "x" cm long. The second pipe is 15 m long, which is equivalent to 1500 cm. The plumber cut 11 pieces of the same length as each of the 5 equal pieces from the first pipe, so the total length of the 11 pieces is:
11x
The plumber had 15 cm of the second pipe left over after cutting 11 pieces, so we can set up another equation:
1500 - 11x = 15
Solving for "x" in the second equation:
11x = 1485
x = 135
So each piece of the second pipe is 135 cm long.
To find the original length of the first pipe, we can substitute x = 135 into the first equation and solve for L:
5x + 27 = L
5(135) + 27 = L
L = 702
Therefore, the original length of the first pipe was 702 cm.
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State how the triangles are congruent using SSS, SAS, ASA, AAS, or
HL. If they are not congruent, type NOT.
Answers
Answer:
AAS
Step-by-step explanation:
[tex]\overline{PR} \cong \overline{PR}[/tex] by the reflexive property.
Your Assignment
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. (2 points)
2. Simplify both sides. Show your work. (2 points)
3. Is x = 6 a solution to the equation? Why or why not? (3 points)
4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution. (3 points)
Your Assignment
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. (2 points)
2. Simplify both sides. Show your work. (2 points)
3. Is x = 6 a solution to the equation? Why or why not? (3 points)
4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution. (3 points)
Answers
Answer:
6 is not the solution. 7 is the solution.
Step-by-step explanation:
5(x -3) = x + 13 Substitute 6 for x
5(6 -3) = 6 + 13
5(3) = 19
15 ≠ 19
6 is not a solution because it results in a false statement. The two sides do not equal each other.
5(x - 3) = x + 13 Distribute the 5
5x -15 = x + 13 Subtract x from both sides
5x - x - 15 = x - x + 13
4x - 15 = 13 Add 15 to both sides
4x - 15 + 15 = 15 + 13
4x = 28 Divide both sides by 4
x = 7
7 is the solution to the equaion.
Suppose that a motorboat is moving at 83 ft/s when its motor suddenly quits, and that 1 s later the boat has slowed to 23 ft/s. Assume that the resistance it encounters while coasting is proportional to the square of its velocity so that dv/dt =-kv^2 where k > 0. How far will the boat coast in the first 2 minutes after its motor quits?
Answers
The boat will coast approximately 16752.9 feet (or about 3.17 miles) in the first 2 minutes after its motor quits.
From the problem statement, we know that the velocity of the boat, v, changes from 83 ft/s to 23 ft/s over a period of 1 second. Therefore, we can write:
[tex]dv/dt = -k v^2[/tex]
Separating variables and integrating from v = 83 at t = 0 to v = 23 at t = 1, we get:
[tex]∫83^23 dv / v^2 = ∫0^1 -k dt[/tex]
=> [1/83 - 1/23] = k
So the equation for the velocity of the boat as it coasts is:
[tex]dv/dt = -[(1/83 - 1/23)] v^2[/tex]
The differential equation is separable:
[tex]dv/v^2 = -[(1/83 - 1/23)] dt[/tex]
Integrating both sides, we get:
-1/v = [(1/83 - 1/23)] t + C
where C is an integration constant. Using the initial condition v(0) = 83, we get:
C = -1/83
Substituting this back, we have:
-1/v = [(1/83 - 1/23)] t - 1/83
Solving for v, we have:
v(t) = 83 / [1 + (83/23 - 1) t]
To find the distance traveled, we integrate v(t) from t = 0 to t = 120:
s =[tex]∫0^120 v(t) dt[/tex]
Substituting v(t) and simplifying, we have:
s = 23 ln(1 + 3.6087t) + 60.391t + C
where C is another integration constant. Using the initial condition s(0) = 0, we get:
C = 0
Therefore, the distance traveled by the boat in the first 2 minutes after its motor quits is:
s = 23 ln(1 + 3.6087t) + 60.391t
Evaluating this expression at t = 120 seconds, we get:
s = 23 ln(433.044) + 7246.92 ≈ 16752.9 ft
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2. Two observers are 600 ft apart on opposite sides of a flagpole. The angles of elevation from the
observers to the top of the pole are 19 and 21°. Find the height of the flagpole. Round to the nearest
foot.
Answers
The height of the flagpole is 110 feet.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
tan 19 = f/x
tan 21 = f/(600 - x)
Now,
tan 16 x = tan 21 x (600 - x)
0.34x = 0.38 x 600 - 0.38x
0.34x = 230 - 0.38x
0.34x + 0.38x = 230
0.72x = 230
x = 319
Now,
tan 19 = f/319
0.34 x 319 = f
f = 109.8
f = 110 feet
Thus,
110 feet is the height of the flagpole.
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For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]A =1 2 11 1 1
Answers
We can solve this equation by setting B2 = [c d], so that AB2 = [c+d 1] = [0 1]. This gives us the system of equations c + d = 0 and c = 1. Solving this system, we have c = 1, where I is the 2x2 identity matrix
Let A be the given 2x2 matrix A = [1 2 ; 1 1]. To find a 3x2 matrix B such that AB = I, where I is the 2x2 identity matrix, we can use the hint provided: If B1 and B2 are the columns of B, then ABj = Ij. This means that for each column j of B, we need to solve the equation ABj = Ij. For j = 1, we have AB1 = I1 = [1 0]. We can solve this equation by setting B1 = [a b], so that AB1 = [a+b 1] = [1 0]. This gives us the system of equations a + b = 1 and a = 0. Solving this system, we have a = 0 and b = 1, so B1 = [0 1].For j = 2, we have AB2 = I2 = [0 1]. We can solve this equation by setting B2 = [c d], so that AB2 = [c+d 1] = [0 1]. This gives us the system of equations c + d = 0 and c = 1. Solving this system, we have c = 1.
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On the first night of Rosh Hashanah, David cuts 5 apples into slices and gives 3/8 of an apple to each of his guests. He has 2 apples left over. How many guests does david have? Let g equal the number of guests David has. Write an equation that represents the situation.
Answers
Based on the information provided, the number of guests was 8 guests and the equation to represent this situation is 3/8 x + 2 = 5.
How to calculate the number of guests?The first step to get to know the number of guests is to write an equation, this will help us discover the number of x or guests. To write the equation, let's include the variable and values given:
3/8 x + 2 = 5
Now, let's solve this equation:
0.375x + 2 = 5
x = 5 -2/ 0.375
x = 3 / 0.375
x = 8 guests
Based on the above, it can be concluded that the number of guests, in this case, was 8.
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Which quantity is unknown?
the number of guest
_____________________________________
Write an equation that represents the situation.
3/8g + 2 = 5
_____________________________________
How many guests does David have?
g = 8
Camden is working two summer jobs, making $10 per hour babysitting and making $18 per hour lifeguarding. In a given week, he can work no more than 14 total hours and must earn no less than $180. If Camden worked 9 hours lifeguarding, determine the minimum number of whole hours babysitting that he must work to meet his requirements. If there are no possible solutions, submit an empty answer.
Answers
Camden must work a minimum of 2 hours babysitting and 9 hours of lifeguarding to meet the requirements.
What is the solution to the equation?A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
Let's call the number of hours Camden works babysitting "x".
We know that x + 9 (hours of lifeguarding) cannot be more than 14 and that his total earnings must be at least $180. So we can write two equations based on these conditions:
x + 9 ≤ 14 (hours worked can't exceed 14)
10x + 18 × 9 ≥ 180 (earnings must be at least $180)
Now we can substitute the first equation into the second:
10x + 18 × 9 ≥ 180
10x + 162 ≥ 180
10x ≥ 18
x ≥ 1.8
Since x has to be a whole number of hours, we round up to find that Camden must work at least 2 hours babysitting.
So, Camden must work a minimum of 2 hours babysitting and 9 hours of lifeguarding to meet the requirements.
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A system of linear equations is shown in the graph. How many solutions does the system have?br /> One solution at (0, 4) One solution at (−3, 0) Infinitely many solutions No solution
Answers
There are two solutions to the system of linear equations depicted in the graph: one at (0,4) and one at (-3,0). There is only one distinct solution to the system of equations where the two lines intersect at the points (-3,0) and (0,4).
How can the number of solutions to a system of linear equations be determined?If the slopes are the same but the y-intercepts vary, the system has no solution. If the slopes are different, the system only has one solution. The system has an endless number of solutions if the slopes and y-intercepts match.
How many possible solutions can there be for a system of two linear equations?There are therefore countless possible answers. A different kind of linear equation system is a system with two parallel lines represented by the equations is referred to be an inconsistent system. The lines have distinct y-intercepts but the same slope.
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A bag contains only red and blue marbles. There are a total of 36 marbles in the bag. There are 5 red marbles for every 4 blue marbles in the bag.
Part A) How many of each color marble are in the bag?
Part B) A student removes 1 blue marble from the bag. The student reasons that the ratio of red to blue marbles is now 5:3 since 4 - 1 = 3.
Explain the error in the student's reasoning.
Compute the correct ratio of red to blue marbles after 1 blue marble is removed.
Answers
Answer:
The ratio computed shows that the student's reasoning that there are now 5 red marbles in the bag for every 3 marbles is incorrect.
How to illustrate the ratio?
From the information given, there are 36 marbles in the bag. The number of red marbles will be:
= 5/9 × 36
= 20 marbles
The number of blue marbles will be:
= 4/9 × 36
= 16 marbles
When a student removes 1 blue marble from the bag, the number of blue marbles will be:
= 16 - 1
= 15 marbles.
Therefore, the ratio of red to blue marbles will be:
= 20:15 = 4:3
Therefore, the student's reasoning that there are now 5 red marbles in the bag for every 3 marbles is incorrect.
10+3s≥19 Need help pls
Answers
Answer: s≥3
Step-by-step explanation: fist you need to get the variable by itself on one side. So subtract the 10 from each side and you have 3s≥9. Then you divide each side ny 3 to get s by itself, divide 9 by 3. Then your answer is s≥3
15a2+12b-9a2 Solve with step by step please
Answers
Answer:
(assuming the 2 was an exponent, if I am wrong don't use this answer) 6a^2 + 12b
Step-by-step explanation:
Add like terms
6a^2 + 12b
hello can anyone help me wiith this
Answers
Answer: Correct answer is -1
Step-by-step explanation:
A cookie company made 40 batches of
cookies in 8.25 hours. Assuming a constant
rate of production, at what rate, in hour(s) per
batch, was the cookies made?
Answers
The hourly rate that the batches of cookies were made is given as follows:
4.85 batches per hour.
How to obtain the hourly rate?The hourly rate is obtained applying the proportions in the context of the problem.
A proportion is applied as the rate is obtained dividing the total production by the time in hours.
The parameters for this problem are given as follows:
Production of 40 batches.Time of 8.25 hours.Hence the rate is given as follows:
40/8.25 = 4.85 batches per hour.
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A quilter created the following shape to use in a block for a new quilt. A six-sided figure with a large base of 16 inches. The side to the right of the base is 9 inches. The small side parallel to the base is 6 and two fifths inches. There are two sides that form a point at a right angle. The smaller is 6 inches, and the larger is 7 and one-half inches. What is the area of the shape for the quilt block? ninety-four and one half in2 one hundred sixty-six and one half in2 189 in2 333 in2
Answers
The total area of the quilt is: 166.5 square inches
How to determine the total area of the quilt?The six-sided figure is given, and we can deduce the following parameters from the question:
The shape is made of a triangle and a rectangle
The side lengths derived from the question are:
The triangle on top:
base: 6 inches and height: 7.5 inches
The rectangle at the bottom:
Base: 16 inches with a height of 9 inches
So, we have the total area of the figure to be
Area of figure = (1/2 * 7.5 * 6) + (16 * 9)
Area of figure = 22.5 + 144
Area of figure = 166.5 in²
Based on the parameters, the total area is 166.5 square inches
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PLEASE LOOK AT IMAGINE BELOW
Answers
Answer: D
Step-by-step explanation:
Jamal mows lawns and wants to save money. Jamal currently
has $25 and plans to save an additional $25 per month. Which
graph represents the number of months it will take Jamal to
save at least $250?
Answers
Answer: eat grass whor
Step-by-step explanation:
The Grade 8 learners decided to start living more healthily.They will either jog or cycle.there are 125 Grade 8 learners and they jog and cycle in the ratio 3:2.calculate how many learners participate in each sport
Answers
Answer:
We can start by finding the total number of learners who participate in jogging and cycling by multiplying the ratio by the total number of learners. Let's say x is the number of learners who jog. Then, the number of learners who cycle is 2x.
The total number of learners who jog and cycle is 125, so:
x + 2x = 125
3x = 125
x = 125 / 3
x = 41.67
Since x represents the number of learners who jog, there are 41.67 learners who jog. Since the number of learners who cycle is 2x, there are 2 * 41.67 = 83.33 learners who cycle.
Since these are whole numbers of learners, we round up to the nearest whole number to get 42 joggers and 83 cyclists.
The number of students participating in each of the sports will be 75 for jogging and 50 for cycling.
Solution:
Let's assume that the number of students who participated in jogging will be 3x and those in cycling will be 2x
Given,
3x + 2x = 125
5x = 125
So, x = 25
Therefore, the number of students in jogging will be 3*25 = 75 and in cycling will be 2*25 = 50
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Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plan in still air.
Answers
The speed of the plane is 135 km/h and wind speed is 23 km/h. The solution has been obtained by forming linear equations.
What is a linear equation?
This is the linear equation with the largest degree of one. This demonstrates that there are no variables in linear equations with exponents greater than 1. A straight line appears on the graph as a result of such an equation.
Let the plane speed be 'P' and the wind speed be 'W'.
We are given that while flying to Kampala with a tailwind a plane averaged 158 km/h.
So, we get an equation as
P + W = 158 ...(1)
Also, on the return trip plane only averaged 112 km/h while flying back into the same wind.
So, we get another equation as
P - W = 112 ...(2)
Now, on adding the equations we get,
⇒P + W + P - W = 158 + 112
⇒2P = 270
⇒P = 135
Now substituting the value into either equation, we get
⇒P + W = 158
⇒135 + W = 158
⇒W = 23
Hence, the speed of the plane is 135 km/h and wind speed is 23 km/h.
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An online furniture store sells chairs for $100 each and tables for $450 each. Every
day, the store can ship at most 16 pieces of furniture and must sell at least $3000
worth of chairs and tables. If 9 chairs were sold, determine the minimum number of
tables that the store must sell in order to meet the requirements.
Answers
The minimum number of tables the store must sell is 5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Using t and c as variables, we get
100c + 400t ≥ 3000
c+t≤16
The online furniture store must sell at least $3000 worth of chairs and tables each day, and can ship at most 16 pieces of furniture.
If the store sells 9 chairs for a total of $900, it needs to sell at least 5 tables to reach a total revenue of $3000.
Since the total number of pieces of furniture sold is 14 (9 chairs + 5 tables), which is less than the maximum of 16, the store meets the daily shipping requirement.
Therefore, the minimum number of tables the store must sell is 5.
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what is the discriminant of 4x^2+4x-3=0
Answers
Answer:
-47
Step-by-step explanation:
The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
b^2−4 (ac)
Substitute in the values of a, b, and c.
1^2 − 4 (4 x 3)
Evaluate the result to find the discriminant.
Simplify each term.
One to any power is one.
1 − 4 (4 x 3)
Multiply
−4 (4 x 3)
Subtract 48 from 1.
-47
2. Suppose the New York Yankees play a double-header (two games). Using W for a win and L
for a loss, list all the possible outcomes for the double-header. If we are only interested in the
total number of games the Yankees win, what are the possible events for the two games?
Answers
If we are only interested in the total number of games the Yankees win, the possible events for the two games are: 0 wins: LL , 1 win: LW, WL and 2 wins: WW
What is event in probability ?
In probability, an event is a subset of the sample space of a random experiment. In other words, an event is a collection of possible outcomes of the experiment.
For example, consider flipping a fair coin. The sample space of this experiment is {heads, tails}. An event could be defined as "getting heads", which is a subset of the sample space that includes only one outcome.
There are four possible outcomes for the double-header, which can be represented using W for a win and L for a loss:
WW (Yankees win both games)
WL (Yankees win the first game, but lose the second game)
LW (Yankees lose the first game, but win the second game)
LL (Yankees lose both games)
Therefore , If we are only interested in the total number of games the Yankees win, the possible events for the two games are: 0 wins: LL , 1 win: LW, WL and 2 wins: WW
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Could someone help me please??
Answers
Answer:
0.32958 kilometers per minute
Step-by-step explanation:
Distance covered = 26.219 miles
Step 1: Convert this distance to kilometers using the conversion( 1mi = 1.609 km)
==> 26.219 miles = 26.219 miles x 1.609 km/mile = 42.186371 km
This distance was covered in 128 minutes
Step 2: To find the speed in km/min, divide 42.186371 by 128
= 42.186371/128
= 0.32958 kilometers per minute
------------------------------------------------------------------------------------
We could also solve this problem using the following alternative technique
Step 1 Determine speed in miles/minute = 26.219/128 = 0.2048 m per min
Step 2: Multiply by conversion factor 1.609:
0.2048 x 1.609 = 0.32958 kilometers per minute
Shade ______ line
for greater than (>).
Answers
[tex]above \: the \: line[/tex]
Complete the function for this graph.
1 y=|x-[?]|+[]
-Hint: y = |x - h| + v
Answers
The absolute value function on the graph is:
f(x) = |x + 2| + 3
How to write the function for the graph?We know that for an absolute value function with a vertex at (a, b), then the absolute value function is:
f(x) = |x - a| + b
Here we can see that the vertex is at the point (-2, 3)
Then:
a = 2
b = 3
The function will be:
f(x) = |x + 2| + 3
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Question 15 (5 points)
Anthony's teacher told him that he needed to read more than 20 minutes each day.
Which inequality represents the amount of time he needs to read daily if m
represents the number of minutes?
Om > 20
m < 20
Om > 20
Om ≤ 20
Answers
Answer:
m<20
Step-by-step explanation:
(x + 1) /x³ − 3x² + 6x +11.
Answers
The polynomial expression cannot be divided
How to divide the polynomial expressionFrom the question, we have the following parameters that can be used in our computation:
(x + 1) /x³ − 3x² + 6x +11.
The degree of the numerator is 1
While the degree of the denominator is 3
For a polynomial quotient to be evaluated, the degree of the numerator must be greater than the degree of the denominator
Because 1 is less than 3, then the polynomial expression cannot be divided
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