Answer:
For example, the position of a planet is a function of time. ... A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.
Step-by-step explanation:
Wendy is creating a large soup based on a recipe. Her recipe calls for of a pint of milk, but she only has of a pint of milk, so she can only make a portion of her soup. Wendy can only make _____ of her recipe with the amount of milk that she has.
Answer:
She can only make 5/6 of her recipe with the amount of milk that she has.
Step-by-step explanation:
Some data of this problem is missing, the data missing is:
Her recipe calls for 3/4 of a pint of milk and she only has 5/8 of a pint of milk.
Now, to know what's the portion she can do with that amount we need to divide the amount of milk she has by the total amount she needs:
[tex]\frac{5}{8}[/tex] ÷[tex]\frac{3}{4}[/tex]
When we divide we turn the second fraction upside down (the numerator becomes the denominator and viceversa) and multiply, thus:
[tex]\frac{5}{8}[/tex]÷[tex]\frac{3}{4}=\frac{5}{8}[/tex]×[tex]\frac{4}{3} =\frac{20}{24}[/tex]
If we simplify this last expression we have:
[tex]\frac{20}{24}=\frac{10}{12} =\frac{5}{6}[/tex]
Thus, she can only make 5/6 of her recipe with the amount of milk that she has.
Note: In case the data missing is different, you can apply this same procedure with the fractions you have.
what is the coefficient of b in the expression b² - 5b +18
Answer:
-5
Step-by-step explanation:
This is a quadratic polynomial that has the form ax²+bx+c :
a = 1b= -5 c= 18here the coefficient of b is -5
Answer:
5
but if you sure just looking for the coefficient to just plain b, it is 5
the coefficient of (b^2) is 1 and the coefficient of b itself -5
the reason i say coefficient to (b^2) is 1 because there is no numder in front
of the variable , it is automatically assumed to be 1
Step-by-step explanation:
a coefficient is a numder that a variable is multiplied by
Given that y is directly proportional tox, and when y = 8 when x=
10.
(a) Write down the equation of y in terms of x.
(b) Find the value of y when x = 25.
8
(c) Find the value of x when y==
25
Answer:
see explanation
Step-by-step explanation:
(a)
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 8 when x = 10. then
8 = 10k ( divide both sides by 10 )
0.8 = k
y = 0.8k ← equation of proportion
(b)
when x = 25, then
y = 0.8 × 25 = 20
(c)
when y = 25, then
25 = 0.8x ( divide both sides by 0.8 )
x = 31.25
Polynomial function in standard form with zeros 5,-4,1
Answer:
[tex]\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }[/tex]
Step-by-step explanation:
hello,
by definition we can write
[tex](x-5)(x+4)(x-1)[/tex]
as 5,-4,1 are the zeroes
now we have to write it in the standard form, let's do it
[tex](x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20[/tex]
hope this helps
A 1 km long train is travelling at 30km/h. If the train enters a tunnel that is 1 km long, how much time will it take for the train to clear the tunnel?
Answer: 240 seconds OR 4 minutes
Step-by-step explanation:
Length of the train = 1 km
Length of the tunnel = 1 km
Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km
= 2000 m
Speed of the train = 30 km/hr = 8.333 metres per second
Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.
= 240 seconds = 4 minutes
Gwendolyn shot a coin with a sling shot up into the air from the top of a building. The graph below represents the height of the coin after
x seconds.
Answer: A
Step-by-step explanation:
what is the area of shape below NEED HELP NOWWW
Answer:
15 units[tex] {}^{2} [/tex]Step-by-step explanation:
Given figure : Trapezium
Upper base of trapezium ( b1 ) = 7
Lower base ( b2 ) = 3
Height ( h ) = 3
Now, finding the area of trapezium:
[tex] \frac{1}{2} (b1 + b2)h[/tex]
Plugging the values
[tex] \frac{1}{2} \times (7 + 3) \times 3[/tex]
Calculate the sum
[tex] \frac{1}{2} \times 10 \times 3[/tex]
Reduce the numbers with G.C.F 2
[tex]5 \times 3[/tex]
Calculate the product
[tex] = 15 \: {units}^{2} [/tex]
Hope this helps..
Best regards!
What is the speed of a plane that goes 15000 miles per hour in per seconds?
Answer:
There are 60 * 60 = 3600 seconds in one hour so the plane goes 15000 / 3600 = 4 and 1/6 miles per second.
Answer:
[tex]4 \frac{1}{6} \: miles \: per \: seconds[/tex]Step-by-step explanation:
[tex]1500 \: miles \: \: per \: hour[/tex]
[tex] = \frac{15000}{60 \times 60} [/tex]
[tex] = \frac{15000}{3600} [/tex]
[tex] = \frac{25}{6} [/tex]
[tex] = 4 \frac{1}{6} \: miles \: per \: second[/tex]
Hope this helps...
Good luck on your assignment...
Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula. Find E, the voltage of a circuit, if I = (16 + i) amperes and R = (2 + 4i) ohms.
Answer:
E = (28 + 66i) Volts
Step-by-step explanation:
Note that: i = √-1 ; i² = -1
Ohm's law: E = IR
E = (16+ i) (2 + 4i)
Expand the equation.
E = 16x2 + 16x4i + ix2 + ix4i
E = 32 + 64i + 2i + 4i²
E = 32 + 64i + 2i + 4(-1)
E = 32 + 64i + 2i - 4
Collect like terms:
E = 32 -4 + 64i + 2i
E = (28 + 66i) Volts
What is 14v14 divided by 72 in simplest form?
Answer:
About 2.72
Step-by-step explanation:
From reading the comments, I suppose you meant v actually means x so:
14 × 14 = 196
196 ÷ 72 ≈ 2.72
Hope this helped! :)
Answer:
Hello!
I'm not sure what the " v " means but I think you meant to put x instead of v
____________________
14 x 14 = 196
196 ÷ 72 = [tex]\frac{49}{18}[/tex]
Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.
Hope I got this right.
If 6x - y = 21 and -x + 6y = 14, what is the value of x - y?
Answer:
the value of x_y is 1.
hope u get it.....
what is the formula for this equation?
hen spends 3 days baking 224 cookies. on the second day, he bakes twice as many as he did on the first day. on the third day, he baked half as many as he did on the first day. How many cookies did he bake o the 2nd day
Answer:
x + 2x + 1/2x = 224
Step-by-step explanation:
x + 2x + 1/2x = 224
3.5x = 224
x= 64
64×2=128
Hen baked 128 cookies on the second day
Use the graph to complete the given statements. Enter the letters A, B, C, or D in the boxes.
The function with the lowest output values as x approaches infinity is _. The function with the greatest output values as x approaches infinity is _.
The function with the lowest output values as x approaches infinity is A.
The function with the greatest output values as x approaches infinity is B
Find the interquartile range (IQR) of the data in the dot plot below. chocolate chips 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10. Number of chocolate chips. Chocolate chips in different cookies in a package
*The dot plot is shown in the attachment below
Answer:
2
Step-by-step explanation:
Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).
First, let's write out each value given in the data. Each dot represents a data point.
We have:
2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7
=>Find the median:
Our median is the middle value. The middle value is the 6th value = 4
==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.
2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7
Our upper median = 5
==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.
2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7
Lower median = 3
==>Interquartile range = Q3 - Q1 = 5-3 = 2
Answer:
2
Step-by-step explanation:
Find the area of this triangle..
Answer:
39.936 ( not rounded )
Step-by-step explanation:
Use Pythagorean theorem
a^2 + 6.4^2 = 9^2
height = 6.24 (rounded to nearest hundredth)
1/2 * base * height = area
1/2 * 12.8 * 6.24
= 39.936 ( not rounded )
help me please :) thanks
Answer: B
Step-by-step explanation: graph b
Which answers are equivalent to the fraction below? Check all that apply
12/16
A.1/2 B.6/8 C2/3 D.2/6 E.3/4 F.6/4
Answer: e
Step-by-step explanation: 12/16 6/8 3/4
Answer:
B and E.
Step-by-step Explanation:
B: 6/8
6*2=12
8*2=16
12/16
E: 3/4
3*4=12
4*4=16
12/16
Hope this helps!!!!!
From the information given, what is the biggest flaw in the study? A health researcher randomly selected 500 high school students from the city of Oak Grove. In a private interview the researcher asked the students whether they had ever used drugs. She concluded that only 8% of the high school students of Oak Grove have ever used drugs.
Answer:
The correct answer is - The setting may discourage honest responses.
Step-by-step explanation:
In this particular setting of research and interview regarding this research may not produce hones results as the question is too direct to ask students if they had ever used drugs.
Research should be anonymous and should avoid the questions that can lead to bias results like this case that may lead to dishonest results.
Thus, the correct answer is : The setting may discourage honest responses.
someone please help :( a sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Oregon are: $295, $475, $345, $595, $538, $460. A second sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Washington are: $495, $422, $370, $333, $370, $390. answer the following questions: What is the median price of rent for the University of Oregon? What is the median price of rent for the University of Washington? What is the mean price of rent near the University of Oregon? What is the mean price of rent near the University of Washington? Describe the standard deviation for both Universities.
Answer:
Oregon:
Median: 467.5
Mean: 451.33
Standard Deviation: 113.6
Washington:
median: 380
Mean: 396.6
Standard deviation: 56.3
Step-by-step explanation:
To calculate the median, we need to organize the price and select the value that is in the middle position.
To calculate the mean, we need to sum all the values and divide them by the number of values
To calculate the standard deviation, we need to square the distances between every price and the mean, sum it all and divide them by the number of values less 1 and finally calculate the square root.
So, for Oregon, the organized values are:
$295, $345, $460, $475, $538, $595
The median is a value between $460 and $475. it is calculated as:
[tex]\frac{460+475}{2}=467.5[/tex]
The mean is:
[tex]\frac{295+475+345+595+538+460}{6}=451.33[/tex]
The standard deviation is:
[tex]\sqrt{\frac{(295-451.3)^2+(475-451.3)^2+(345-451.3)^2+(595-451.3)^2+(538-451.3)^2+(460-451.3)^2}{6-1}}=113.6[/tex]
At the same way, we can calculate the median, mean, and standard deviation for Washington and get:
median: 380
Mean: 396.6
Standard deviation: 56.3
On a nearby pond, black and white ducks are swimming in groups of 3. James wants to find the experimental probability of two white ducks and one black duck swimming together. Design a simulation using a coin flip and explain why it is the best choice for James.U Will get BRAINLIEST
Answer:
The answer is below
Step-by-step explanation:
Given that, there are only two available choices, which are a black or white duck, this can be represented using a coin: H→White duck, T→Black Duck
Hence, to represent a set of possible outcomes, the coin has to be tossed three times.
Thus, we assume that, at the minimum we have total number of Ducks = 3 Black + 3 White = 6 Ducks
Total Favorable Outcome = 2 White + 1 Black
Total Possible Outcome = Selecting 3 Ducks (2 White +1 Black) from 6 Ducks
Formula to Calculate Probability
= Total favourable outcome ÷ Total possible outcome
Use ,C(n,r)= n! / (n - r)! r!
Therefore, the Probability of two white ducks one black duck swimming together
= ³C² * ³C¹ ÷ 6C3 = 9/20
To use Simulation Coin Flip, we have the following:
H→White duck, T→Black Duck
HHH→Three White Ducks Swimming together
TTT→Three black ducks Swimming together
HHT→Two white duck and a Black Duck swimming together
HTH→Two white duck and a Black Duck swimming together
THH→Two white duck and a Black Duck swimming together
TTH→Two Black duck and a White Duck swimming together
THT→Two Black duck and a White Duck swimming together
HTT→Two Black duck and a White Duck swimming together
Finally, to find the probability, divide the observed desired outcomes by the total number of trials.
Answer:
There are only two choices, a black or white duck, so a coin is the best choice. To represent a set of possible outcomes, toss the coin three times. Repeat the experiment multiple times. To find the probability, divide the observed desired outcomes by the total number of trials.
Step-by-step explanation:
edg2020
Find the product h · k(x) if h(x) = 2(3x – 5) and k(x) = –2x + 1?
Answer:
The answer is option C.
Step-by-step explanation:
h(x) = 2(3x – 5) = 6x - 10
k(x) = –2x + 1
h • k (x) = (6x - 10) ( - 2x + 1)
= - 12x² + 6x + 20x - 10
The final answer is
= - 12x² + 26x - 10
Hope this helps you
Answer:
C) h · k(x) = –12x2 + 26x – 10
Step-by-step explanation:
Which of the sets of ordered pairs represents a function? (1 point)
A = {(2, 7), (1, −5), (7, 2), (2, −9)}
B = {(5, 3), (−2, −9), (−3, 8), (9, 3)}
Answer:
B = {(5, 3), (−2, −9), (−3, 8), (9, 3)}
Step-by-step explanation:
A function has no repeating inputs (x-values). One input is assigned to exactly one output.
In set 'A', the input of two is repeated.
A = {(2, 7), (1, −5), (7, 2), (2, −9)}
In set 'B', there are no repeating inputs.
Set 'B' is a function.
Brainilest Appreciated.
If f(x) = x2 + 3x - 4, find f(4).
Answer:
f(4) = 24
Step-by-step explanation:
Plug in 4 for x in the equation:
f(x) = x² + 3x - 4
f(4) = (4)² + 3(4) - 4
Remember to follow PEMDAS. PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
and is the order of operation.
First, solve the power:
(4)² = 4 * 4 = 16
Next, multiply 3 with 4:
3 * 4 = 12
Next, combine the terms:
f(4) = 16 + 12 - 4
f(4) = (16 + 12) - 4
f(4) = 28 - 4
f(4) = 24
f(4) = 24 is your answer.
~
Answer:
24
Step-by-step explanation:
Plug x as 4.
(4)² + 3(4) - 4
16 + 12 - 4
= 24
Sonya made a graph showing the first ten minutes of her drive to the movies. A graph with time on the x-axis and speed on the y-axis. The graph increases, increases rapidly, and then remains constant. Which description is the best interpretation of the graph? Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway. Sonya backed out of her driveway at a constant speed and then accelerated until she reached the street where the movie was playing. She stopped the car. Sonya drove down her driveway at a constant speed until she reached the street. She turned and drove down the street at a constant speed. Her car went slower as she drove up a hill. At the top of the hill she drove into the parking lot of the movie theater. Sonya accelerated as she drove down her driveway. She accelerated on the street on her way to the highway entrance. She waited for a red light, then accelerated onto the highway.
Answer:
Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.
Step by step explanation:
The first scenario is the best match for the increasing slope, (leaving the house and accelerating) rapidly increasing slope (increasing speed on ramp) and level line (constant speed on the highway).
The best interpretation of the graph is,
Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.
What is Acceleration?When a point or an object moving in a straight line , the acceleration is the rate at which velocity changes with time, in terms of both speed and direction.
Here, we have,
The first scenario is the best match for the increasing slope, (leaving the house and accelerating) rapidly increasing slope (increasing speed on ramp) and level line (constant speed on the highway).
Hence, The best interpretation of the graph is,
Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.
To learn more on Acceleration click:
https://brainly.com/question/2303856
#SPJ3
I've attached the question in the picture below.
at a map scale of 1:1500, 12 centimeters on the map is equivalent to 1.8 kilometers on the ground.
step-by-step
since the scale is 1 to 15,000 you simply multiply it by the 12 cm
12cm × 15,000 = 180,000
but you still have to convert it to kilometers (the measurement on the ground).
to go from centimeters to kilometers move the decimal 5 place values to the left.
final answer
1.8 kilometers
Malachy, Sushil and Fiona share some sweets in the ratio 1:3:1. Malachy gets 5 sweets. How many did Sushil get?
Answer:
Sushil got 15 sweets
Step-by-step explanation:
we can use law of indices property as shown below
a:b:c = ax:bx:cx
that if we multiply each term of ratio by same number , the ratio does not change
____________________________
given
Malachy, Sushil and Fiona share some sweets in the ratio 1:3:1.
let
Malachy gets 1x sweets
sushil gets 3x sweets
Fiona gets 1x sweets
but given that
Malachy got 5 sweets
thus
1x = 5
x = 5
Sushil got 3x sweets = 3*5 = 15 sweets.
Sushil got 15 sweets.
Which system of equations below has no solution? A. y = 4x + 5 and y = 4x – 5 B. y = 4x + 5 and 2y = 8x + 10 C. y = 4x + 5 and y = One-fourthx + 5 D. y = 4x + 5 and y = 8x + 10
Answer: A y=4x -5 and y=4x+5
Step-by-step explanation:
They have no solutions because they have the same slopes but different y intercepts. That works with any equation.
Answer:
the answer is A
Step-by-step explanation:
Check all that apply. If csc0=13/5, then:
I hope this helps you
Answer: B) sin θ = 5/13 and D) tan θ = 5/12
Step-by-step explanation:
[tex]\csc\theta=\dfrac{r}{y}=\dfrac{13}{5}[/tex]
Use Pythagorean Theorem: x² + y² = r² to calculate x = 12
[tex]\sin \theta=\dfrac{y}{r}=\dfrac{5}{13}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\dfrac{13}{5}\\\\\\\\\cos \theta=\dfrac{x}{r}=\dfrac{12}{13}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\dfrac{13}{12}\\\\\\\\\tan \theta=\dfrac{y}{x}=\dfrac{5}{12}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\dfrac{12}{5}[/tex]
Which of the following are solutions to the quadratic equation? Check all that
apply.
2x2 + 7x- 14 = x2 + 4
Answer:
[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]
Step-by-step explanation:
hello,
[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]
hope this helps
This service is NOT important when comparing banks: a: Debit card design. b:Hours of operation. c:Convenience of location. D:Monthly fees and minimum balance required.
Answer:
A.
Step-by-step explanation:
Debit card design really has nothing to do with banks but has to do with personal preference. If you are comparing banks, you would want to see when they are open, how much you would need to deposit to start an account, that kind of stuff.