In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned, x, according to the equation L(x) = 20 – 0.4x
Answers
Here is the complete question
1. State coordinates of x axis
2. State coordinates of y axis
3. State the slope
4. Graph the function
5. Is learning rate increasing or decreasing?
Answer:
1. (50,0)
2. (0,20)
3. Slope = -0.4
4. Check attachment for graph
5. Learning rate is decreasing
Step-by-step explanation:
1.
L(x) = 20-0.4x
20 = 0.4x
x = 20/0.4
x = 50
(50,0)
2
For y coordinate;
L(0) = 20-0.4(0)
= 20
(0,20)
3.
Slope,
Y = -0.4x+20
We compare with
Y = mx+c
m = -0.4
Intercept c = 20
4. Check attachment
5. The slope is negative at m = -0.4 therefore the rate of learning is on a decline. As number of words learnt increases, learning rate falls.
Answer:
Step-by-step explanation:
Related Questions
In the picture above, ∠3 and ∠7 are ______
angles which are _____.
Answers
Answer:
Corresponding
Equal, Congruent
Step-by-step explanation:
Manuel can walk 5 miles In one hour. At this rate, how many miles can he walk in 8 minutes? Round to the nearest tenth
Answers
Answer:0.6666664
Step-by-step explanation:
You take 5 and divide by 60. Then multiply by 8.
2/3 of a mile.
If he can walk 5 MILES a hour, lets use 5/60.
Multiply 5/60 by 8 since each minute he travels 5/60 of a MILE.
You get 0.66(repeating) OR 2/3
(-26) + (+6) - (-67)
Answers
Answer:
the correct answer is 47
Answer:
47
Step-by-step explanation:
-26 + 6 = -20
-20 - - 67= -20 +67
67-20= 47
[tex]5/6(-8/15)[/tex]
Answers
Answer:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=-\frac{4}{9}[/tex]
Step-by-step explanation:
Fraction Multiplying
The product of two fractions can be obtained by multiplying their numerators and denominators separately. Then, simplify and show the result.
We are given the product:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}[/tex]
Multiply as directed:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=\frac{5*(-8)}{6*15}=-\frac{40}{90}[/tex]
Simplifying by 10:
[tex]\displaystyle -\frac{40}{90}=-\frac{4}{9}[/tex]
Thus:
[tex]\boxed{\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=-\frac{4}{9}}[/tex]
Can the determinant of a 2 x 2 matrix be zero
Answers
Answer:yes
explanation: It’s given that the determinant of the 2x2 matrix is zero. This means that the rows of the matrix are not linearly independent. i.e one row can be made zero by some transformation. R2 - (a)R1 = 0 for some real number a. If we make R2 zero, the rank can not be 2.
#9A
What is a reasonable first step to solve for y?
1/ 4x + 3y = 2z
Answers
Barry used a number line to simplify a numerical expression on a math test.
Which number did Barry add to get a result of 4 on the numerical expression he simplified?
A: 4
B:-14
C:-6
D:14
Answers
Answer:
i think its 14 if the number starts all the way at -10 youd have to add 14 to get to four
There are three consecutive even integers. Three times the smallest is twice the largest. What are the integers?
Answers
Answer:
8, 10, 12 are the integers
Step-by-step explanation:
Guess and check
Solve x2 − 8x + 15 < 0.
Recall that the quadratic factors as:
(x − 3)(x − 5) < 0
Therefore, the intervals that must be tested are
x < 3, 3 < x < 5 and x > 5.
The solution set for the quadratic inequality is:
Answers
Answer:
Step-by-step explanation:
Given the quadratic inequality we are to find the interval of x
x² − 8x + 15 < 0
Factorize
x²-3x-5x+15<0
x(x-3)-5(x-3)<0
(x-3)(x-5)<0
(x-3)<0 and x-5<0
if x+3<0
x<-3
If x-5<0
x<5
Hence the solution yo the quadratic inequality are x<3 and x<5
Hence
Answer:
(3, 5)
Step-by-step explanation:
Correct on e2020
Mrs. Lofton created a histogram of her first two test grades for her class. if the combines the two tests, what percentage of the grades were below 70. (image below)
Answers
Answer: the answer is 84
Step-by-step explanation:
Sam lives near a lagoon in the Caribbean that is populated by flamingos. Sam decides to figure out approximately how many flamingos live in the area. He catches 45 flamingos, put tags on them, and releases them. Later, he catches 280 flamingos, 30 of which are tagged. To the nearest whole number, what is the best estimate for the flamingo population?
Answers
Answer:
about 330
Step-by-step explanation:
280 rounded is 330 and 30 is already rounded so you would add 30 plus 330
Answer:
THE ANSWER IS 330 BUT YOU WOULD ADD 300 PLUS 30
Step-by-step explanation:
i need points :)
Tracy sells water at a fair in 17oz bottles or 11oz cans. If on one shelf she has 11 containers of water that hold a total of 157oz of water, how many bottles and cans of water are on the shelf?
Answers
Answer:
Number of bottles = 6
Number of cans = c
Step-by-step explanation:
Given that:
Container for selling water :
17 oz bottle
11 oz can
Let number of bottles = b
Number of cans = c
b + c = 11 - - - (1)
17b + 11c = 157 - - - (2)
b = 11 - c
Substitute into (2)
17(11 - c) + 11c = 157
187 - 17c + 11c = 157
187 - 6c = 157
-6c = 157 - 187
-6c = -30
c = 30/6
c = 5
From ; b = 11 - c
b = 11 - 5
b = 6
Hence,
Number of bottles = 6
Number of cans = c
Answer:
6 bottles and 5 cans
Step-by-step explanation:
Express 27x81 as a power of 3
Answers
Answer:
3^7
Step-by-step explanation:
27 = 3^3
81 = 3^4
3+4 = 7
In a certain chemical, the ratio of zinc to copper is 4 to 17 . A jar of the chemical contains 663 of copper. How many grams of zinc does it contain?
Answers
Answer:
The jar contains 156 grams of zinc
Step-by-step explanation:
Ratios
Let's call
Z=gr of zinc
C=gr of copper
We know the ratio between them in a certain chemical is:
[tex]\displaystyle \frac{Z}{C}=\frac{4}{17}[/tex]
The jar of the chemical contains C=663 gr of copper. Calculate the grams of zinc by solving the above relation for Z:
Multiplying by C:
[tex]\displaystyle Z=\frac{4}{17}\cdot C[/tex]
Substituting the value of C:
[tex]\displaystyle Z=\frac{4}{17}\cdot 663[/tex]
Z=156 gr
The jar contains 156 grams of zinc
The following dotplot shows the number of e-mails that Alejandro deleted each day. Each dot represents a
different day
+
0
2
4 6
10
Number of e-mails
Here is the five-number summary for these data:
Five-number summary
Answers
Answer:
0
Step-by-step explanation:
Answer: 0 high outliers
Step-by-step explanation:
I hope this helps!
What is the error in this problem?
Answers
Answer:
Reflect or flip over the shape is the step missed
Step-by-step explanation:
Answer:
AK matched the wrong points together. She should've translated shape A six units to the left and seven units up.
An architect wants to build a scale model of a building that is in the shape of a rectangular prism. The building has a height of 500 ft., a width of 120 ft., and a length of 600 ft.The scale model is 1% of the size of the building based off its length and width, so the length of the scale model is and the height of the scale model is .
Answers
Height: 5ft.
Legnth: 6ft.
Width: 1.2 ft.
1% of 500 is 5ft
1% of 600 is 6ft
1% of 120 is 1.2ft
Type you're name and if you get it right you get brainliest
Answers
Match the numbers with the correct label
Answers
Answer:
a= -3/7
b= -0.2
c = -2/8
Step-by-step explanation:
Answer:
-3/7
-2/8
-0.2
Step-by-step explanation:
i did it on khan
What is the number that comes in 21,7,15,11 times table
Answers
Answer:
i think it is 105
but 105 divide by 11 is 9.54
Bc I just think it is
tell whether the lines through the given points are parallel, perpendicular, or neither. (-9, 3), (-5, 7) (-11, 6) (-7, 2)
Answers
Answer:
did you ever did the answer
Step-by-step explanation:
△ABC ≅ △EDF.
Determine the value of x.
Answers
20+10x=180
10x=170
Answer
X=17
Answer: 17
Step-by-step explanation:
What is the constant of the following:
19x - 4y - 2?
Answers
Jasmine's cell phone company charges her $35 a month for phone service plus 0.50 for each text message. How many text messages does she send in a month if her bill was $52. explain how you did the math and let T= the # of text messages
Answers
Answer:
Step-by-step explanation:
you have to divid 52 by 0.50 i think
The equation is: y = 0.50x + 35
Now you’re going to plug 52 in y as the total.
52 = 0.50x + 35
-35 = 0.50x -35
(Then subtract both sides by 35)
It will equals to: 17 = 0.50x
17 = 0.50x
———= ———-
0.50 = 0.50
Now divide both sides by 0.50)
ANSWER: 34 text messages!
Help me Idk how to do this one
Answers
Answer:
Hmm im not sure
Step-by-step explanation:
Convert 5 over 6 to a percent rounded to the nearest tenth.
Answers
Answer:
0.8
Step-by-step explanation:
5/6 = 0.83333333...
To round to the tenth, we must count only one number past the decimal.
This leaves us with 0.8.
Which area of this sound wave represents a compression?
A)A
B)B
C)C
D)D
Answers
Answer:
c
Step-by-step explanation:
on usa test prep
your friend claims that because you can find the distance from a point to a line, you should be able to find the distance between any two lines. Is your friend correct? Explain your reasoning.
Answers
9514 1404 393
Answer:
yes
Step-by-step explanation:
Yes, you can find the distance between two lines using the formula for the distance to a line.
In general, the notion of distance between two lines only make sense when the lines are parallel.
The usual formula for the distance between a point (x, y) and the line ...
ax +by +c = 0
is ...
d = |ax +by +c|/√(a^2 +b^2)
Two lines that are parallel will differ only in their values of 'c'. That is, if the two lines are ...
ax +by +c1 = 0ax +by +c2 = 0we can arrive at the formula by considering a point (x, y) such that it satisfies the equation for line 2: ax +by +c2 = 0. The distance of that point from line 1 will be ...
d = |ax +by +c1|/√(a^2 +b^2)
Since we can add or subtract 0 from anything without changing its value, we choose to subtract 0 from the numerator:
d = |(ax +by +c1) -(ax +by +c2)|/√(a^2 +b^2)
Simplifying gives ...
d = |c1 -c2|/√(a^2 +b^2)
Suppose two trains leave a station at the same time, traveling in opposite directions. Train B travels 10 mph faster than Train A. In 3.5 hours, the trains are 336 miles apart. Find the speed of each train.
Answers
Answer:
B
Step-by-step explanation:
Train B is faster
Find the dimensions of the rectangular box of maximum volume if the sum of the length, width, and height equals 180. (Give exact answers. Use symbolic notation and fractions where needed.)
Answers
Step-by-step explanation:
Let the dimension of the box be x, y and z.
Volume of the box V = xyz
Since the box is a rectangular box, the base will be a square of equal length.
V = x²h where h is the height of the box
If the sum of the length, width, and height equals 180, then x+x+h = 180
2x+h = 180
h = 180-2x
Substitute h = 180-2x into the volume of the box
V = x²(180-2x)
V = 180x²-2x³
The box has its maximum volume when [tex]\frac{dV}{dx} = 0[/tex]
[tex]\frac{dV}{dx} = 360x-6x^{2}[/tex]
[tex]360x-6x^{2} = 0\\360x = 6x^2\\360 = 6x\\6x = 360\\x = \frac{360}{6}\\ x = 60[/tex]
Since 2x+h = 180
Substitute x = 60 into the equation ang get the height h
2(60)+h = 180
120+h = 180
h = 180-120
h = 60
Hence the dimension of the rectangular box is 60 by 60 by 60
The dimensions of the rectangular box of maximum volume are;
Length = 60
Length = 60Width = 60
Length = 60Width = 60Height = 60
Let the dimensions of the rectangular box be;
Length = x
Width = y
Height = h
Volume of a rectangular box is given by;
V = length × width × height
Thus;
Volume of this box in question is;
V = xyz
The box is called a rectangular box because it's sides are rectangular in shape but it's base will be square in shape.
Thus;
width = x and so;
V = x²h
We are given the sum of the length, width, and height of the rectangular box to be equal to 180.
Thus; x + x + h = 180
2x + h = 180
h = 180-2x
Put 180 - 2x for h in the equation for volume;
V = x²(180 - 2x)
V = 180x² - 2x³
The maximum volume will occur at the dimensions when dV/dx = 0. Thus;
dV/dx = 360x - 6x²
At dV/dx = 0, we have;
360x - 6x² = 0
6x² = 360x
x = 60
Recall that; h = 180 - 2x, thus;
h = 180 - 2(60)
h = 60
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