Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 4 ← is in slope- intercept form
with y- intercept c = - 4 → A
Find 0. Round to the nearest degree.
A. 20°
B. 69°
C. 21°
D. 70°
Answer:
21
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Hope this helped, and please mark as brainliest! <3
Pancho ordered a set of green and blue pencils. He
received 80 pencils, and 61% of them were blue.
About how many blue pencils did Pancho receive?
Translate the following arguments into symbolic form. Then determine whether each is valid or invalid by constructing a truth table for each.
If national elections deteriorate into TV popularity contests, then smooth-talking morons will get elected. Therefore, if national elections do not deteriorate into TV popularity contests, then smooth-talking morons will not get elected.
Symbolic Form:
P: National elections deteriorate into TV popularity contests
Q: Smooth-talking morons will get elected
The argument can be expressed as:
If P then Q
Therefore, if not P then not Q
This is a valid argument as it follows the logical form of Modus Ponens. We can verify this using a truth table:
P | Q | P → Q | ¬P | ¬P → ¬Q
T | T | T | F | T
T | F | F | F | T
F | T | T | T | T
F | F | T | T | T
The truth table shows that the argument is valid because the final column (¬P → ¬Q) is true for all four cases. This indicates that if the symbolic form of premise (P) is false, then the conclusion (Q) must also be false.
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PLEASE HELP ASAP :(( !!!!!!!!! Graph the function f(x) = x^2 + 7x + 10 on the coordinate plane.
Answer:
plot the coordinates(-5,0) (-4,-2) (-3,-2) (-1,4) (0,10)
Step-by-step explanation:
x= -5 y=0
x=-4 = y=-2
x=-3 = y=-2
x=-1 = y=4
x=0 = y=10
x=1 = y=18
x=2 y=28
x=3 y =40
x=4= y= 54
Eva swims 1/2 of a mile in 1/4 of an hour. How far will she swim in 1 hour?
Answer:
2 miles branliest pls
Step-by-step explanation:
Answer:
2miles in 1 hour
Step-by-step explanation:
miles hours
1/2 1/4
1 2/4
1 1/2 3/4
2 4/4
An asteroid travels 25 kilometres per second how far does it travel in a hour
Answer:
The asteroid will travel 90000 km in an hourStep-by-step explanation:
GivenThe speed of the asteroid is 25 km/secTo find The distance traveled in an hour.SolutionFirst, convert hour into seconds:
1 hour = 60 min = 60*60 sec = 3600 secNow find the distance:
25 km/sec * 3600 sec = 90000 km1.10 Select all the quantities that can be represented by 0. A. The elevation at sea level B. The elevation at the top of a mountain C. The temperature, in degrees Fahrenheit, at which water boils D. The amount of money in an account in which a person owes money E. The amount of money in an account in which a person does not have money or does not owe money (worth 100 points)
The requried, quantities that can be represented by 0 have been mentioned below.
The quantities that can be represented by 0 are:
A. The elevation at sea level (since sea level is defined as 0 elevations)
D. The amount of money in an account in which a person owes money (since a negative balance is represented by 0)
Therefore, the correct options are A and D.
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Triangle ABC is right triangle. The length of one leg is 80 centimeters, and the hypotenuse is 120 centimeters. What is the length, in centimeters, of the other leg?
The length of the other leg of the right triangle is; 89.44 centimetres
Right triangles and the Pythagoras theoremAccording to the question;
We are required to determine the length, in centimetres of the other leg of the right triangle.By the Pythagoras theorem;
Hyp² = Opp² + Adj²Hence, It follows that;
120² = 80² + X²x² = 14400-6400x² = 80,000Find the square root of both sides of the equation;
x = √80,000x = 89.44 centimeters
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the ratio of the area of two similar rooms is 4/25 find the area of the bigger room in the area of the smaller room is 8 m squared
Answer:
50\(m^{2}\)
Step-by-step explanation:
\(\frac{4}{25}\) = \(\frac{8}{x}\)
4 x 2 = 8
25 x 2 = 50
The area of bigger room in this question will be 50 square meters.
Given :
The ratio of the areas of the smaller room to the bigger room = 4/25
The area of the smaller room = 8 square meters.
Lets consider area of bigger room as x.
Now let's find the value of x. To do that, we have to equate both the ratio.
(area of smaller room) / (area of bigger room) = 4/25
Substituting the given values we have,
8 / x = 4/25
To get the value of x we have to cross multiply
4 * x = 8 * 25
This results as
4 * x = 200
Now we take 4 to the RHS and it becomes
x = 200 / 4
x = 50
Therefore, we find that the area of the bigger room is 50 square meters.
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https://brainly.com/question/12024093A small manufacturing company makes $125 on each stereo sound bar produces, and $100 profit on each flat screen TV makes. Each sound bar and TV must be processed by cutting machine (A), A fitting machine (B), and a polishing machine (C). each sound bar must be processed on machine A for one hour, Machine B for one hour machine C for four hours. each TV must be processed on machine A for two hours, machine B for one hour, machine C for one hour. Machine A is available for 16 hours, machine B for nine, machine C for 24. Using the information in the problem, right the constraints. Let X represent the number of sound bars made, and Y represent the number of TVs
Constraint Equations : \(X + 2Y \leq 16 , X + Y \leq 9 , 4X + Y \leq 24\)
Time required for producing sound bar 'X' = 1 hour of machine A , 1 hour of machine B , 4 hour of machine C
Time required for producing flat screen TV 'Y' = 2 hours of machine A, 1 hour of machine B, 1 hour of machine C
So, constraint for machine A (needed for sound bar & flat screen TV) : \(1X + 2Y \leq 16\)
Similarly, constraint for machine B (needed for X & Y) : \(1X + 1Y \leq 9\)
Also, constraint for machine C = \(4X + 1Y \leq 24\)
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The area of a circle is modeled by the equation A = πr^2. Rewrite the equation in terms of the circles radius r. In your final answer, include all of your calculations. (brainliest to best answer)
Answer:
First off, the area of a circle should be pi times r squared, not r times pi squared. I will do my math using this correction.
If A = (pi)r^2 then first we can devide both sides by pi, leaving
A/pi = r^2
To solve for r, we need to take the square root of both sides, leaving
sqrt(A/pi) = r
or
r = sqrt(A/pi)
Step-by-step explanation:
this would be your answer
r = √(A/π)
Step-by-step explanation:
A = πr²
A/π = r²
±√(A/π) = r
But the only thing is that you can't have a negative radius, so you just have to rewrite the answer as positive.
√(A/π) = r
pls help whoever gets it right gets marked brainliest
Answer:
b
Step-by-step explanation:
Solve each equation. Check for extraneous solutions. √x+3 -1=x
the extraneous solution for the equation √ (x + 3) - 1 = x is x = 1 or x = - 2.
We are given an equation:
√ (x + 3) - 1 = x
√ (x + 3) = x + 1
Raise both sides to the power 2, we get that:
x + 3 = x² + 1 + 2 x
x² + 2 x - x + 1 - 3 = 0
x² + x - 2 = 0
x² + 2 x - x - 2 = 0
x ( x + 2) - 1 ( x + 2) = 0
(x - 1)(x + 2) = 0
x = 1 or x = - 2.
Therefore, we get that, the extraneous solution for the equation √ (x + 3) - 1 = x is x = 1 or x = - 2.
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PLEASE EXPLAIN!!!
You are planning to use a ceramic tile design in your new bathroom. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 11cm, what will be the exact area of each hexagonal shape?
A: 3,993 cm^2
B: 181.5√3 cm^2
C: 132√3 cm^2
D: 33cm^2
The exact area of each hexagonal shape is 181.5sqrt(3) cm^2. Option B
To determine the exact area of each hexagonal shape formed by the equilateral triangles, we need to calculate the area of one equilateral triangle and then multiply it by the number of triangles that make up the hexagon.
The formula to calculate the area of an equilateral triangle is:
Area = (sqrt(3) / 4) * side^2
Given that the side of each tile measures 11 cm, we can substitute this value into the formula to find the area of one equilateral triangle:
Area = (sqrt(3) / 4) * (11 cm)^2
= (sqrt(3) / 4) * 121 cm^2
= 121sqrt(3) / 4 cm^2
Now, since the hexagon is formed by six equilateral triangles, we can multiply the area of one triangle by 6 to find the total area of the hexagon:
Hexagon Area = 6 * (121sqrt(3) / 4 cm^2)
= 726sqrt(3) / 4 cm^2
= 181.5sqrt(3) cm^2
Therefore, the exact area of each hexagonal shape is 181.5sqrt(3) cm^2.
The correct answer is B: 181.5√3 cm^2.
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How do I solve x/8+15=20
Answer:
x = 40
Step-by-step explanation:
1/8x + 15 = 20
-15 -15
1/8x = 5
x8 x8
x = 40
Answer:
Hey! The answer to your question is 40
Step-by-step explanation:
First you have to simplify both sides of the equation.
And than you subtract 15 from both sides.
Finally the last step is to multiply both sides by 8.
which will give you:
x = 40
hope this helps!
Question: 7 After seven years, the age of father will be 4 times the age of his daughter. If x stands for the present age of the daughter and y stands for the present age of the father, which of th following linear equations represents the above statement?
x+y-17=0
2xy-187=0
x+y+17=0
2xy+187=0
Answer:
Here is your answer
Step-by-step explanation:
Step -1: Forming equations.
Let, present age of son = x
And, present age of father = 3x+3
3 years later, age of son = x+3
age of father = 3x+3+3=3x+6 ...(i)
According to the given condition, age of father = 10+2(x+3) ...(ii)
Step -2: Solving for x
From (i) and (ii)
∴3x+6=10+2(x+3)
⇒3x+6=10+2x+6
⇒3x−2x=10+6−6
⇒x=10
∴Present age of son = 10
and present age of father = 3x+3=3×10+3=33
Hence, son’s present age is 10 years and father’s
The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?
Answer:
2
Step-by-step explanation:
If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means
there can only be 2.5 different committees because you can't subtract 3 from 8
Answer:
125790 different committees can be chosen.
Step-by-step explanation:
The principal would like to assemble a committee of 8 students from the 20-member student council.
We need to find How many different committees can be chosen?
Since the order is not important, so we use Combinations to solve the question.
The formula used is: \(^nC_r=\frac{n!}{(n-r)!r!} \\\)
In the question given: we have n = 20 and r = 8
Putting values and finding the number of ways committees can be chosen:
\(^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970\)
So, 125790 different committees can be chosen.
For a given week, latoya's coffee house has available ounces of a grade coffee and ounces of b grade coffee. these are blended into -pound packages as follows: an economy blend that contains ounces of a grade coffee and ounces of b grade coffee, and a superior blend that contains ounces of a grade coffee and ounces of b grade coffee. (the remainder of each blend is made of filler ingredients.) there is a profit on each economy blend package sold and a profit on each superior blend package sold. assuming that the coffee house is able to sell as many blends as it makes, how many packages of each blend should it make to maximize its profit for the week?
Certainly! Let's consider an example with arbitrary numbers to illustrate the concept.
Let's assume Latoya's Coffee House has the following values:
Available ounces of grade A coffee: 100 ounces
Available ounces of grade B coffee: 80 ounces
Economy blend composition: 4 ounces of grade A coffee and 2 ounces of grade B coffee
Superior blend composition: 5 ounces of grade A coffee and 3 ounces of grade B coffee
Profit per economy blend package: $5
Profit per superior blend package: $7
Now, we can proceed to determine the number of packages of each blend that should be made to maximize the profit for the week.
Let's say Latoya's Coffee House produces 'x' packages of the economy blend and 'y' packages of the superior blend.
Profit for the economy blend: P_economy = 5 * x
Profit for the superior blend: P_superior = 7 * y
The total profit for the week, P_total, is given by:
P_total = P_economy + P_superior
P_total = 5x + 7y
We need to maximize P_total while considering the available ounces of grade A and grade B coffee.
The constraints are as follows:
4x + 5y ≤ 100 (Available ounces of grade A coffee)
2x + 3y ≤ 80 (Available ounces of grade B coffee)
Additionally, 'x' and 'y' should be non-negative since we cannot produce negative packages.
To solve this linear programming problem and find the optimal values for 'x' and 'y', we can use optimization techniques such as the simplex method or graphical methods.
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1 point
4. One printing machine printed 1680 books in 70 hours this week. A
second printing machine printed for 50 hours this week but printed books at twice the hourly rate of the first machine. How many books did the second machine print this week?
Answer:
Find the unit rate of each printing machine and compare.
Step-by-step explanation:
Answer:
2400
Step-by-step explanation:
What is -1/2 x 1/2 in the simplest form possible?
-1/2 x 1/2 = -1x1 / 2x2 = -1/4
The answer is -1/4
help me please i dont understand
h(x)=x²+3x-2; 12-h(7)
How would I input 12-h(7) in place of x to solve this function?
Solve for 12 - h(7)
First find h(7)
h(7) = 7^2+3(7)-2
h(7) = 49 + 21 - 2
h(7) = 68
12 - 68 = - 56
12 - h(7) = -56.
I'm not sure if the question wants h(-56) as well, but just plug that in.
H(-56)=2966
hope this helps :)
Factorise 3b + 18
i dont get it :|
Answer:3(b+6)
Step-by-step explanation:
The factorization of the expression is 3(b+6).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 3b + 18. The factorization of the expression will be done as,
E = 3b + 18
Take 4 as common from the above expression.
E = 3b + 18
E = 3(b+6).
Therefore, the factorization of the expression is 3(b+6).
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Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What is the minimum score you would need to be in the top 2%?.
If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.
This type of problem can be referred to as a normal distribution problem.
It can be solved by using the z-score.
Formula;
Z = x - μ / σ
Here,
Z represents the standard score
x represents the observed value
μ represents the mean
σ represents the standard deviation
The z- score can be found by using the p-value on a standard table.
As the minimum score to be in the top 2% is needed to be found, p-value = 0.02
z- score that corresponds to the p-value of 0.02 in the standard table is equal to 2.054
Hence,
2.054 = x - 76.4 / 6.1
2.054(6.1) = x - 76.4
12.529 = x - 76.4
x = 12.529 + 76.4
x = 88.929
Hence the minimum score needed to be in the top 2% is calculated to be 88.929
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A plane is traveling at a constant speed of K miles per hour. Which coordinate is
represented on the graph?
A. 1,K
B. K,K
C. K,1
Brainly
Answer:
Option (A)
Step-by-step explanation:
Plane is travelling at a constant speed = K miles per hour
K = \(\frac{\text{Distance}}{\text{Time}}\)
Distance = k(Time)
For Time of traveling = 1 hour
Distance traveled = k × 1
= k miles
Therefore, k miles will be traveled in one 1 hour and ordered pairs of the given point on the line will be (1, k)
Option (A) will be the correct option.
What value of x makes the following equation true?
31 = x + 14
A)45
B)27
C)25
D)17
Answer:
D) 17
Step-by-step explanation:
31 = x + 14
x = 31 - 14
x = 17
An earthquake wave travels 55 km of rock in 25
seconds. Which equation represents the relationship
between t the number of seconds, and d, the total
distance the wave travels?
d=5/11t
d=1 4/7t
d= 2.2t
d=80t
Answer:
The answer is D) 2.2km
Step-by-step explanation:
5. Simplify the expression
-4(2x - 3)
ASAP NEED HELP PLS
Answer:
-8x + 12
Step-by-step explanation:
It is asking us to simplify. Therefore, we multiply the terms. -4(2x - 3) =
- 8x + 12
Answer:
-8× + 12
Step-by-step explanation:
-4x (2x - 3) simplify
Apply the distributive property
-4 (2x) - 4 × -3
multiply 2 by -4
-8x -4 × -3
multiply -4 by -3
= -8x + 12
Simplify the radical expression. Sqrt 64x ^10 (power 10)
Answer: 8x^5
Step-by-step explanation: you can also go to math-way to get answers
can you please help me before it kicks me out of the session
EXPLANATION
Let's see the facts:
------------------------First triangle ----------------------------
First side measure =3
Second side measure = 4
Included angle measure = 62
----------------------Second triangle ------------------------
First side measure = 27
Second side measure= 36
Included angle measure = 62
We have two included and congruent angles because 62=62.
Let's make a representation:
Now, in order to conclude if both triangles are similar we need to prove that the relationship or ratios between the sides is the same, and then, by the S-A-S Postulates, we could infer that both triangles are similar.
First side relationship: 3/27 = 1/9
Second side relationship: 4/36 = 1/9
1/9 = 1/9
As First side relationship = Second side relationship, then the relationship is the same and by SAS Postulate, the triangles are similar.
Are the triangles similar? Yes, by SAS postulate.