Answer:
Option C.
Step-by-step explanation:
In a linear function, the change in y-values with respect to x-values is constant.
We need to find table from the given tables which represents a non-linear function.
In option A, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.
In option B, x is increasing by 1 unit and y is decreasing by 1 unit. So, rate of change is constant.
In option C, x is increasing by 1 unit but y is not decreasing by same units. So, rate of change is not constant.
In option D, x is increasing by 1 unit and y is increasing by 1 unit. So, rate of change is constant.
Only in option C, the rate of change is not constant. So, it represents a non-linear function.
Therefore, the correct option is C.
Answer:
The Correct Answer would be C
Step-by-step explanation:
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
Find dy/dx of (3 - 2x)-1/2
Answer:
Step-by-step explanation:
To evaluate the derivative of this function you need the chain rule. The pattern I teach to my calculus students is to find
u =
u' =
f(u) =
f'(u) =
First pick your "u". u will be the inner function, the one inside the parenthesis.
u' will then be the derivative of u.
f(u) is the function in terms of u, and
f'(u) is the derivative of the function in terms of u.
The derivative then, finally, will be u' * f'(u). Let's begin.
Our u, or the part of the function inside the parenthesis is 3 - 2x; hence,
u = 3 - 2x
The derivative, u', then is
u' = -2
f(u) is the function in terms of u, so
f(u) = [tex]u^{-\frac{1}{2}[/tex] and the derivative in terms of u is
f'(u) = [tex]-\frac{1}{2}u^{-\frac{3}{2}[/tex]
u' * f'(u) then is
[tex]-\frac{1}{2}u^{-\frac{3}{2}*(-2)[/tex] Simplify that by subbing back in for u and multiplying -2 by -1/2 to get
[tex]y'=(3-2x)^{-\frac{3}{2}[/tex]
Help please........please
Answer:
58, 38 and 76
Step-by-step explanation:
(a)
The median is represented by the vertical line inside the box
median = 58
(b)
The interquartile range is the difference between the upper quartile and the lower quartile.
The upper quartile is the value at the right of the box, that is 72
The lower quartile is the value at the left of the box, that is 34
Interquartile range = 72 - 34 = 38
(c)
The range is the difference between the largest and smallest value
max value is the value at the right of the data, that is 86
min value is the value at the left of the data, that is 10
Range = 86 - 10 = 76
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
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!
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.
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
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
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...
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.
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]
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
Find lateral surface area in square units, of the following 3-
dimensional figure.
Enter just a number for your answer.
-
14 ft
7 ft
9 ft
Answer:
Lateral surface area of cuboid = 448 ft²
Step-by-step explanation:
Given:
Height of cuboid(h) = 14 ft
Length of cuboid(l) = 9 ft
width of cuboid(b) = 7 ft
Find:
Lateral surface area of cuboid
Computation:
Lateral surface area of cuboid = 2 h(l + b)
Lateral surface area of cuboid = 2(14)(9 + 7)
Lateral surface area of cuboid = 28(16)
Lateral surface area of cuboid = 448 ft²
Mrs smith invests £30,000 (some in a 5% account, some in an 8% account). After the year shes earned £2100. How much did she put in each account? PLEASE HELP!!
Answer:
She deposited £10,000 in the 5% yield account and deposited £20,000 in the 8% yield account
Step-by-step explanation:
Let the amount she put in each account be £x and £y respectively
Total amount deposited is ;
x + y = 30,000 ••••••(i)
Now, let’s look at the earnings:
in the £x , amount earned would be;
5/100 * x = 5x/100
For the £y, amount earned would be;
8/100 * y = 8y/100
Adding both gives the total which is £2,1000
5x/100 + 8y/100 = 2,100
Multiply through by 100
5x + 8y = 210,000 ••••••••(ii)
From the first equation, we know that
x = 30,000 -y
Let’s put this into the second
5(30,000-y) + 8y = 210,000
150,000-5y + 8y = 210,000
3y = 210,000 -150,0000
3y = 60,000
y = 60,000/3
y = £20,000
So mathematically;
x = 30,000-y
x = 30,000 -20,000
x = £10,000
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.
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
Given: ∆KLM, KL ≅ LM A∈ KM , B ∈ KM AK ≅ BM Prove:△AKL ≅ △BML ΔALB is isosceles
Answer:
ΔAKL is congruent to ΔBML by the Side Angle Side rule of congruency and ΔALB is isosceles as two of its sides [tex]\overline {AL}[/tex] and [tex]\overline {BL}[/tex] are congruent
Step-by-step explanation:
The given parameters are;
The given triangle ΔKLM has sides [tex]\overline {KL}[/tex] ≅ [tex]\overline {LM}[/tex], Given
ΔKLM is isosceles Δ (two equal segments), Definition of isosceles Δ
∠LKM ≅ ∠LMK, Base ∠s of isosceles Δ are ≅
Point A is on segment [tex]\overline {KM}[/tex], Given
Point B is also on segment [tex]\overline {KM}[/tex], Given
Segment [tex]\overline {AK}[/tex] ≅ segment [tex]\overline {BM}[/tex], Given
ΔAKL ≅ ΔBML, SAS rule of congruency
Segment [tex]\overline {AL}[/tex] ≅ segment [tex]\overline {BL}[/tex], CPCTC
ΔALB is isosceles (two equal segments), Definition of isosceles Δ
Where:
SAS = Side Angle Side
CPCTC = Congruent parts of congruent triangles are congruent.
Answer:
m∠AKL=m∠BML | Base Angle Theorem (Base ∠ TH.)
Step-by-step explanation:
KL=LM | Given
A ∈ KM | Given
B ∈ KM | Given
AK=BM | Given
m∠AKL=m∠BML | Base ∠ TH.
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!!!!!
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
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 new hockey stick costs $57.00 at the sporting goods store. If there is a 6%
sales tax, what is the actual cost of the hockey stick?
Answer:
$60.42
Step-by-step explanation:
0.06 x $57 = $3.42
$57 + $3.42 = $60.42
Hope this helped! :)
help me please :) thanks
Answer: B
Step-by-step explanation: graph b
If 6x - y = 21 and -x + 6y = 14, what is the value of x - y?
Answer:
the value of x_y is 1.
hope u get it.....
Steve Fossett is approaching the shores of Australia on the first successful solo hot air balloon ride around the world. His balloon, the Bud LightTM Spirit of Freedom, is being escorted by a boat (directly below him) that is 108 meters away. The boat is 144 meters from the shore. How far is Fossett's balloon from the shore?
Answer:
180 meters
Step-by-step explanation:
Distance from the balloon to the boat = 108 meters
Distance from the boat to the shore = 144 meters
Since the boat is directly below the balloon, the problem forms a right triangle in which the distance from the balloon to shore is the hypotenuse.
Let the length of the hypotenuse = l
Using Pythagoras Theorem
[tex]l^2=108^2+144^2\\l^2=11664+20736\\l^2=32400\\l=\sqrt{32400} \\l=180$ meters[/tex]
The distance from Fossett's balloon to the shore is 180 meters.
Fossett's balloon is 180m from the shore
data;
escort boat to the ballon = 108mboat from the shore = 144mdistance between the ballon and the shore = xPythagoras TheoremTo solve this problem we can assume this is situation forms a right angle triangle and we can solve this using pythagoras theorem.
[tex]x^2 = y^2 + z^2\\[/tex]
Let's substitute the values and solve
[tex]x^2 = y^2 + z^2\\x^2 = 108^2 + 144^2\\x^2 = 32400\\x = \sqrt{32400} \\x = 180m[/tex]
Fossett's balloon is 180m from the shore
Learn more on pythagorean theorem here;
https://brainly.com/question/231802
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:
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 )
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
Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope
Answer:
y = (1/3)x +4
Step-by-step explanation:
The line intercepts the y-axis at y=4. It has a "rise" of 1 unit for each "run" of 3 units, so its slope is rise/run = 1/3.
The slope-intercept form of the equation of a line is ...
y = mx + b . . . . . where m is the slope and b is the y-intercept.
When we put the proper numbers in the equation, we have ...
y = (1/3)x + 4
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