Answer:
6/17
Step-by-step explanation:
Robyn paid $45,
Rachel paid $65
Rocky paid $60.
Total amount paid = $45 + $65 + $60 = $170
Fraction paid by Rocky will be:
= 60/170
= 6/17
Use π = 3
Calculate the area of a circle with
diameter
of 5cm
Answer:
18.75
Step-by-step explanation:
[tex]Area=\pi r^{2} \\Area=3(\frac{5}{2} )^{2} \\Area=18.75[/tex]
3 quick algebra 1 questions for 50 points!
Only answer if you know the answer, shout-out to subtomex0, tysm for the help!
The range of the function across the domain is {18, 2, -6}
The range of the functionThe function is given as:
f(x) = -2x + 12
The domain is given as:
{-3, 5, 9}
So, we have:
f(-3) = -2*-3 + 12 = 18
f(5) = -2*5 + 12 = 2
f(9) = -2*9 + 12 = -6
Hence, the range of the function across the domain is {18, 2, -6}
The value of the functionThe function is
f(x) = 3x - 11
To calculate f(4), we have:
f(4) = 3 * 4 - 11
Evaluate
f(4) = 1
Hence, the value of f(4) is 1
The value of the functionThe function of the graph is given as:
w(x)
To calculate w(2), we check the corresponding point on the graph where x = 2
From the graph, we have:
w(2) = 5
Hence, the value of w(2) is 5
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Answer:
1. f(4) = 1
2. range: {18, 2, -6}
3. w(2) = 5
Step-by-step explanation:
Question 1
[tex]\textsf{Given}: \quad f(x)=3x-11[/tex]
To find f(4) substitute x = 4 into the given function:
[tex]\begin{aligned}\implies f(4) & = 3(4)-11\\& = 12-11\\& = 1\end{aligned}[/tex]
Question 2
Domain: set of all possible input values (x-values)
Range: set of all possible output values (y-values)
[tex]\textsf{Given}: \quad b(x)=-2x+12[/tex]
To find the range of the given function for the domain {-3, 5, 9} simply input these values of x into the function:
[tex]\implies b(-3)=-2(-3)+12=18[/tex]
[tex]\implies b(5)=-2(5)+12=2[/tex]
[tex]\implies b(9)=-2(9)+12=-6[/tex]
Therefore, the range of the given function is {18, 2, -6}.
Question 3
Given: The graph of function w(x)
To find w(2) simply find the y-value of the point on the graph where x = 2:
Find x = 2 on the x-axis. Trace vertically until you meet the line. Trace horizontally to the y-axis to find the corresponding value of y.Therefore, w(2) = 5
Maribel leaves school at 3:10 to walk home. One day, she stopped at the store
n the way home and spent 20 minutes shopping. If she got home at the time
hown on the clock, how much time did she she spend walking?
Maribel leaves school at 3:10 to walk home, spent 20 minutes shopping and spent 30 minutes walking
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let us assume that Maribel reaches home at 4:00, hence:
Time spent walking = 4:00 - (3:10 + 20 minutes) = 4:00 - 3:30 = 30 minutes
Maribel leaves school at 3:10 to walk home, spent 20 minutes shopping and spent 30 minutes walking
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Evaluate the expression for x = 6.
12 + 2x - 5
A. 19
B. 79
C. 14
D. 54
Answer:
A. 19
Step-by-step explanation:
Slove this expression using the order of operation PEMDAS.
12 + 2x -5
Replace x with 6
12 + 2(6) - 5
12 + 12 - 5
24 -5
19
Therefore the answer is the first option A.19 .
The height of an
equilateral triangle is
11√12. What is a side
of the triangle?
Answer:
I don't know the answer
Step-by-step explanation:
it's hard solve it for me
5-|n-1|=-2
| | stands for absolute value
Answer:
n = 8 or n = −6
Explanation:
First, isolate the absolute value:
5 − |n − 1| = −2
7 − |n − 1| = 0
7 = |n − 1|
Then, split this into two equations, since the result of the absolute value could be positive or negative:
7 = n − 1 7 = −(n − 1)
8 = n 7 = −n + 1
n = −6
Answer:
[tex]\{-6\} \cup \{8\}[/tex]
Step-by-step explanation:
[tex]5 - |n - 1| = -2; \\ -|n - 1| = -2 - 5 \\ -|n - 1| = -7 \\ |n - 1| = 7 \\ \left \ [ {{n - 1 = 7} \atop {n - 1 = -7}} \right. \Leftrightarrow \left \ [ {{n = 7 + 1} \atop {n = -7 + 1}} \right. \Leftrightarrow \left \ [ {{n = 8} \atop {n = -6}} \right.[/tex]
Use the inverse variation equation to fill in the table.
p =
8.31
V
Volume
(Liters) Pressure
(kilopascals)
83.1 a
b 0.4
415.5 c
a =
4.17
⇒ 0.1, b =
⇒ 20.775, c =
8.31
⇒ 0.02
The value of a is 0.10.
The value of b is 20.78.
The value of c is 0.02.
What are the missing values?
When two variables have inverse variation, the two variables move in opposite directions. If one variable increases, the other decreases.
p = 8.31 / V
V = 8.31 / p
a = 8.31 / 83.1 = 0.10
b = 8.31 / 0.4 = 20.78
c = 8.31 / 415.5 = 0.02
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Answer:
a= 0.1
b=20.775
c=0.10
Step-by-step explanation:
edge 2023
Help Pls! I need this fast!
Answer: 36
Step-by-step explanation:
[tex]\overline{AB} \cong \overline{BC}[/tex] (Triangle ABC is isosceles)
[tex]m\angle CAB=m\angle CBA=30^{\circ}[/tex] (base angles of an isosceles triangle are congruent)
[tex]\angle MCB=90^{\circ}[/tex] (In triangle CMB, angles in a triangle add to 180 degrees)
[tex]\angle ACM=30^{\circ}[/tex] (triangle sum theorem)
[tex]MB=24[/tex] (30-60-90 triangle CMB)
[tex]AB=12[/tex] (sides opposite congruent angles in a triangle are congruent)
[tex]AB=36[/tex] (segment addition postulate)
A school laboratory has two types of conical flask. Large conical flasks can hold 1.6 litres and small conical flasks can hold 600 ml. a) Mark has f large flasks and w small flasks, all full of hydrochloric acid. Write an expression for how many millilitres (ml) of acid he has. b) Bev has 2f large flasks and 2w small flasks, all full of hydrochloric acid. Write an expression for how many millilitres (ml) of acid she has.
Answer:
[tex](a)1600f+600w\\\\(b)1600\times2f+600\times2w[/tex]
This table shows the scores that Mario had on his last five math tests.
Which statement does NOT describe this set of data?
A. The mode is 85.
B. The mean is greater than the median.
C. The median is 81.
D. The mode and the median are equal.
Answer:
Step-by-step explanation:
its A i just did it lol
Solve for x in the equation x squared 20 x 100 = 36. x = –16 or x = –4 x = –10 x = –8 x = 4 or x = 16
Possible values of x is -4 or -16
How to solve?
[tex]{x}^2[/tex] + 20x +100 = 36
[tex]\\{x}^2[/tex] + 20x + 100-36 = 0
[tex]\\{x}^2[/tex] + 20x + 64 = 0
Using middle term split
In this method splitting of middle term in to two factors, In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term.
[tex]{x}^2[/tex] + 4x + 16x + 64 = 0
x(x+4) + 16(x+4) = 0
taking common (x+4)
(x+4)(x+16) = 0
Either
x+4 = 0
⇒ x = -4
or (x+16) = 0
⇒ x = -16
Thus possible values of x is -4 or -16
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Answer: A
Step-by-step explanation:
Find the measure of the angle indicated in bold
Answer:
60 for both
Step-by-step explanation:
Since these angles are parallel, they are equal to each other :
6x = 5x + 10
Subtracting 5x from both sides gives us :
x = 10
Substituting this value back into both angles gives us
6x = 60
5x+10 = 60
On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function C of F = five-ninths (F minus 32) to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?
the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit
the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius
the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit
The function is C(F) = (F-32) * 5/9
This means the function C, is using variable F to get the output.
C is Celsius, F is Fahrenheit, so the answer is "the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius"
Answer:
a
Step-by-step explanation:
(bus, cab, or train) to school, and in the evening he has the same 333 choices for his trip home.
The probability that he will use both bus and the train among bus, cab, train is 0.11.
Given There are 3 choices to people each among bus, cab, train for his trip home.
Probability is the likeliness of happening an event among all the events possible. The value of probability lies between 0 and 1. The formula to calculate probability is as under:
Probability= number of things/ total things.
The value of probability cannot be negative.
Number of buses=3
Number of cab=3
Number of train=3
Probability that he will go through train and bus is 3/9*3/9
=9/81
=1/9
=0.11
Hence the probability that he will travel with bus and train is 0.11.
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Question is incomplete as it includes:
What is the probability that he will use both train and bus?
32. Find the ratio of the side lengths of the small triangle to the large
triangle.
3/10
6/20
3/2
2/3
Answer:
2/3
Step-by-step explanation:
that the ratio of that number
calls arrive at lynn ann fish's hotel switchboard at a rate of 2.0 per minute. the average time to handle each is 10 seconds. there is only one switchboard operator at the current time. the poisson and negative exponential distributions appear to be relevant in this situation. what is the probability, as a percent, that the operator is busy
The probability that the operator is busy is 33.33% if the call rate is 2 per minute and average time to handle is 10 seconds.
Given rate of calls 2 per minute and average time to handle a call is 10 seconds.
We have to find the probability that the operator is busy.
Probability is the chance of happening an event among all the events possible. The value of probability lies between 0 and 1.
Probability= number of items/ total items
If rate is 2 per minute then the customers handled in 1 hour=2*60=120
The average time to handle a call=10 seconds.
Therefore customers to be handled in 1 hour=360 (10*6*60)
Probability that the operator is busy is as under:
Probability=λ/μ
=120/360
=1/3
=1/3*100
=33.33%
Hence the probability that the operator is busy is 33.33%.
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PLS HELP ME ILL MARK U BRAINLEST
Answer:
See below
Step-by-step explanation:
x^2 +2x -8 = (x-2)(x+4)
x^2 + 6x - 16 = (x + 8)(x-2) now you can cancel the ( x-2 ) to get
(x+4) / (x+ 8)
Question 10(Multiple Choice Worth 1 points)
(01.04 LC)
Choose the missing step in the given solution to the inequality -x-3 < 13 + 3x.
-x-3<13 + 3x
-4x< 16
X>-4
O-4x-3> 13
O
2x-3 <13
0-4x-3 <13
2x-3> 13
The missing step in the given solution to the inequality -x-3 < 13 + 3x is - 4x - 3 < 13
InequalityIncorrect steps:
- x - 3 < 13 + 3x
-4x < 16
X > -4
Correct steps:
- x- 3 < 13 + 3x
-x - 3x - 3 < 13
- 4x - 3 < 13
- 4x < 13 + 3
- 4x < 16
x < 16/-4
x > -4
Therefore, the missing step in the given solution to the inequality -x-3 < 13 + 3x is - 4x - 3 < 13
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Cindy works at Jurassic Park and has been tasked to design a container in the shape of a
rectangular prism for the incoming baby dinosaurs. The scaled model of the container has
dimensions 2m by 4m by 6m. Cindy has decided to increase each dimension of the scaled model
by the same amount in order to produce a container with a volume of 84 times the volume of the
scale model. By what amount should Cindy increase each dimension of the scaled model?
The amount Cindy should increase for each dimension of the scaled model will be 12 meters.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that:-
The scaled model of the container has dimensions of 2m by 4m by 6m. Cindy has decided to increase each dimension of the scaled model by the same amount in order to produce a container with a volume of 84 times the volume of the scale model.The scale model will be solved as follows:-
Present volume = 2 x 4 x 6 = 48 cubic meters
Let the lengths be increased by x meters now the new volume will be:-
( 2 + x ) ( 4 + x ) ( 6 + x ) = 48 x 84
( x² + 6x + 8 ) ( 6 + x ) = 48 x 84
( x³ + 44x + 12x² - 3984 ) = 0
By solving the cubic equation we will get the value of x = 12 meters.
Therefore the amount Cindy should increase for each dimension of the scaled model will be 12 meters.
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Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. The interval around the mean that contains 95% of the airfares is ________.
The interval around the mean that contains 95% of the airfare is (250.2,524.2).
Normal Distribution is bell shaped and symmetrical in nature.
We use standard normal to find probabilities of normal distribution
Normal distributions have key characteristics that are easy to spot in graphs: The mean, median and mode are exactly the same. The distribution is symmetric about the mean—half the values fall below the mean and half above the mean. Diagram below shows standard normal figure.
In a normal distribution, 95% of the values fall between mean±2*sd
Give: mean=387.20
sd=68.50
So the interval around the mean that contains 95% of the airfare is (250.2,524.2).
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17-19, deal with the ambiguous SSA. For each, find all possible solutions and sketch the triangle(s) in each case
The possible solutions using the Sine Law are given as follows:
Triangle A:
B = 50.26°
C = 79.74°
Triangle B:
B = 62.79°
C = 70.21°
What is the sine Rule?
The sine law asserts that the ratio of a triangle's side length to the sine of the opposing angle is the same for all three sides. The sine rule is another name for it.
What is the explanation for the above solution?Triangle A
Given the sine law:
a/SinA = b/SinB
Hence
Sin B = (b/a) SinA
Sin B = 15/10 (Sin 50)
Sn B = (15/10) * 0.766
Sin B = 1.5 * 0.766
B = Sin⁻1 (1.14)
B = 50.26°
Hence, C =
180 - B - A
= 180 - 50.26 - 50
C = 79.74°
Solution B
Given the sine law:
a/SinA = b/SinB
Hence
Sin B = (b/a) SinA
Sin B = 2/1.6 (Sin 47)
Sn B = 1.25 * 0.73
Sin B = 0.9125
B = Sin⁻1 (0.9125)
B = 62.79°
Hence,
C = 180 - 62.79 - 47
C = 70.21°
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What is the domain of function m based on the graph?
Answer:
let why is equal to FX b and function with an independent variable X and dependent variable y if a function of f provide a way to successfully produced the single value using for the prepos a value of x then the chosen X value is called belong to domain f
An american tourist changed us $1100 into barbados currency at the exchange rate us $1.00= bbd=$5.50. calculate the amount of bbd he received.
The amount of bbd received for the given currency exchange rate is 6050 bbd.
What is the currency exchange rate?The value of one country's currency in relation to the currencies of other countries or economic zones is known as the currency exchange rate.
The majority of currency exchange rates are free-floating and fluctuate according to market supply and demand.
There may be restrictions on some currency exchange rates since they are fixed to the value of other currencies.
According to the question,
Currency exchange rate: $1.00=5.50bbd
So, $1100=1100*5.50 bbd
=6050 bbd
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please help!!!!!!!!!!!!
Answer: $233
Step-by-step explanation:
- A flat fee is an amount that is charged or paid that doesn’t account for hourly use or work
- Then, you must pay by the hour for use
- So you would use the equation:
(22 • 9) + 35
- 22 is the maximum hours and 9 is the hourly rate
- 35 is your flat fee
- So, (22 • 9) + 35 = $233
hope this helps :)
Answer:
$233
Step-by-step explanation:
We can make up a linear equation. We already know that it costs $35 to rent a small auger.
Every hour there is a extra fee of 9$.
So, 9 can be the slope, while 35 can be the x intercept.
y=9x+35
x=22; maximum hours
y=9(22)+35
y=198+35
y=$233
Here is a more simple way
multiply 22 hours with 9 dollars, =$198
then add the 35 dollars; 198+35=$233
This is quadratic equations
Help asap!!
Answer:
x = - 3 ± [tex]\sqrt{2}[/tex]
Step-by-step explanation:
x² + 6x + 7 = 0 ( subtract 7 from both sides )
x² + 6x = - 7
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = - 7 + 9
(x + 3)² = 2 ( take square root of both sides )
x + 3 = ± [tex]\sqrt{2}[/tex] ( subtract 3 from both sides )
x = - 3 ± [tex]\sqrt{2}[/tex]
Please help me!!
Find the value of x:
Answer:
x = 34 degrees
Step-by-step explanation:
Corresponding Angles Theorem: If 2 parallel lines are cut by a transversal, their corresponding angles are congruent.
Angle RNM = 78 degrees
Triangle RMN = 180 degrees
180 = 78 + 2x + x
102 = 3x
x = 34
3. (05.02 LC)
The lengths of two sides of a triangle are 14 inches and 4 inches. Which of the following dimensions is the third side of this triangle? (5 points)
10 inches
O11 inches
O 8 inches
O9 inches
In GeoGebra, display the slope of AB and the slope of the perpendicular line passing through C. Use this to verify your responses in parts B and C. Then move points A, B, and C on the grid to several different locations, and record the slopes of the two lines and the coordinates of A, B, and C.
The slope of the perpendicular line passes through C in GeoGebra.
What is GeoGebra?GeoGebra is the software for the mathematical question for all levels of academics.
GeoGebra brings many mathematical problem solutions like geometry, algebra, spreadsheets, graphing, statistics, and calculus in one search engine.
Display the slope of and the slope of the perpendicular line passing through C.
Hence, the slope of the perpendicular line passes through C in GeoGebra.
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solve the following system of equations for x : y=4-x2 x-y=2
a. x= 2,-4
b. x= 2,-3
c. x= -2,4
d. x= -3
Answer:
b. x=2, -3
Step-by-step explanation:
So I'm assuming the two equations are: [tex]y=4-x^2[/tex] and [tex]x-y=2[/tex]
Since it's asking to solve to solve for x. Then we need to solve for y in one of the equations, so that's it's defined using x, then substitute that into the other equation, that way the only variable left is going to be the x variable.
So since y is already solved for in the first equation. I'll plug that into the second equation.
Original equation:
[tex]x-y=2[/tex]
Substitute 4-x^2 in as y
[tex]x-(4-x^2)=2[/tex]
Distribute the negative sign
[tex]x-4+x^2=2[/tex]
Organize it so it's in order by degree
[tex]x^2+x-4=2[/tex]
Subtract 2 from both sides
[tex]x^2+x-6=0[/tex]
So now we have a quadratic equation and we're trying to find the zeroes. You can use the quadratic equation, but since the only options are integers, we can easily factor this equation. So you need to look for factors of -6, which add up to 1. I like to think about it as find two numbers with a difference of 1, and then figure out which is going to be positive and which is going to be negative after. So knowing this you can easily see 3 and 2 have a difference of 1. Since the 1 is positive, that means the 3 has to be positive and the 2 has to be negative
Use the factors: 3 and -2 to rewrite the equation:
[tex](x+3)(x-2)[/tex]
Now set each factor equal to 0
x+3 = 0
x=-3
x-2=0
x=2
this gives you the two solutions: -3, and 2
A number of friends decided to go on a picnic and planned to spend rs. 96 on eatables. four of them, however, did not turn up. as a consequence, the remaining ones had to contribute rs. 4 each extra. the number of those who attended the picnic was
The number of those who attended the picnic was 8.
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = [tex]ax^{2} + bx + c[/tex] = 0 where a, b, c, ∈ R and a ≠ 0.
Such questions are best examples of quadratic equations where the unknown is simply assumed to be a variable which when substituted according to the conditions yield a quadratic equation which can easily be solved.
Let x represent the whole population.
Total Spending = Rs. 96
Thus, each individual's contribution is equal to 96/x.
Four people did not show up causing
others to contribute Rs. 4 extra.
So the given condition can be written as
96/(x-4) – 96/x = 4
=>96x – 96(x-4) = 4x(x-4)
=> 96x -96x + 384 = 4x2 – 16x
=> 4x2 – 16x – 384 = 0
=> x2 – 4x – 96 = 0
=> (x – 12)(x + 8) = 0
=> x = 12 or x = -8 (neglect)
So x = 12
x-4 = 8 ( because four of them did not turn up)
∴ The number of those who attended the picnic was 8.
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