Answer:
The decrease in the use of older version is given by,[tex]y = 10000 \cdot0.60^{t}[/tex].
Step-by-step explanation:
It is provided that the number of people using an older version of a spreadsheet program decreases at a rate that is proportional at any time to the number of people still using the version at that time.
The exponential decay function is given as follows:
[tex]y=a(1-r)^{t}[/tex]
Here,
y = final value
a = initial value
r = decay rate
t = time taken
It is provided that there were 10,000 people using the older version of the spreadsheet program when the new version first came out. And the number of people still using the older version decreases by 20% every 6 months.
So, every half-yearly the decrease in the number of people using the older version is 20%. This implies for a year the decay rate is 40%.
Then the decrease in the use of older version is given as follows:
[tex]y=10000(1-0.40)^{t}\\\\y=10000\cdot 0.60^{t}[/tex]
Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts’s work?
StartFraction x Over x squared minus 1 EndFraction minus StartFraction 1 Over x minus 1 EndFraction
Step 1: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 Over x minus 1 EndFraction
Step 2: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 (x + 1) Over (x + 1) (x minus 1) EndFraction
Step 3: StartFraction x minus x + 1 Over (x + 1) (x minus 1) EndFraction
Step 4: StartFraction 1 Over (x + 1) (x minus 1) EndFraction
In step 1, he did not correctly factor the denominator.
In step 2, he did not use the correct common denominator.
In step 3, he did not distribute the negative sign when he subtracted.
In step 4, he did not correctly subtract the numerator.
Answer:
He did not distribute the negative sign when he subtracted.
Step-by-step explanation:
x-(x+1) is equal to a -1. He did not distribute the negative.
In third step, he did not distribute the negative sign when he subtracted. Then the correct option is C.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
Mr. Knotts found the difference of the following expression.
The expression is given below.
[tex]\rm \rightarrow \dfrac{x}{x^2-1} - \dfrac{1}{x -1}[/tex]
Then the first step of the expression will be
[tex]\rm \rightarrow \dfrac{x}{(x+1)(x-1)} - \dfrac{1}{x -1}[/tex]
The second step of the expression will be
[tex]\rm \rightarrow \dfrac{x}{(x+1)(x-1)} - \dfrac{1(x+1)}{(x+1)(x -1)}[/tex]
The third step of the expression will be
[tex]\rm \rightarrow \dfrac{x - (x +1)}{(x+1)(x-1)}\\\\\rm \rightarrow \dfrac{x - x -1}{(x+1)(x-1)}[/tex]
In third step, he did not distribute the negative sign when he subtracted.
Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
{1, 5, 10, 15} {1, 3, 5, 7} Which of the following shows the union of the sets?
Answer:
{1, 5}
Step-by-step explanation:
the union is all the values in both sets. The only shared numbers in these two sets are 1, and 5. therefore, the union of the sets is {1, 5}
Hope this helps have a great day! <3
also, pls mark brainliest!!
Mr. Sanders teaches a painting class. He makes the histogram below to summarize the
number of paintings each student has completed since the class began. Mr. Sanders says
that the histogram shows that of the students have finished 12 or more paintings.
Number of Paintings
Finished by Students
Number of Students
N
0-2 3-5 6-8 9-11 12-14 15-17
Number of Finished Paintings
What error did Mr. Sanders likely make, and what is the actual fraction of students who have
completed 12 or more paintings? Use the drop-down menus to explain his reasoning and correct
his mistake.
Mr. Sanders likely found that of the students have completed 12 or more paintings because
there are Choose... bars on the histogram, and choose... of the bars represent
students with 12 or more completed paintings. The actual fraction of the students who have
completed 12 or more paintings is Choose...
Answer:
Answer: (1st box) = 6 (2nd box) = 2 (3rd box) = 2/3
Step-by-step explanation:
I got this question too and I got it right. ❤️
Mr. Sanders most certainly discovered that one-third of pupils have done 12 or more paintings because the histogram has six bars, two of which reflect students who have completed 12 or more paintings. The actual percentage of pupils who have completed 12 or more paintings is [tex]\frac{4}{19}[/tex].
Mr. Sanders' class has 19 students. That histogram has six bars. He most likely assumed it because [tex]\frac{2}{6} = \frac{1}{3}, \frac{1}{3}[/tex] of his pupils finished 12 or more paintings. That is not the case. 2 different isn't even a whole number. The other dates are[tex] \frac{2}{3}, \frac{4}{19}, \ and \ \frac{4}{17}[/tex]. Two-thirds and 4 are not whole figures either. That leaves [tex]\frac{4}{19}[/tex]. Four-nineteenths equal a complete number four. Since there are no such things as partial pupils, we must enter [tex]\frac{4}{19}[/tex].Therefore, the answer is "[tex]\to (1^{st}\ box) = 6 (2^{nd}\ box) = 2 (3^{rd}\ box) = \frac{2}{3}[/tex]"
Learn more:
brainly.com/question/20427581
Which statement is true about the circumference of a circle?
Answer:
A) The circumference is equal to the radius of a circle.
Step-by-step explanation:
Here are the options:
A) The circumference is equal to the radius of the circle.
B) The circumference is equal to the diameter of the circle.
C) The circumference is found by multiplying Pi by the radius.
D) The circumference is found by multiplying Pi by the diameter.
The circumference of a circle is the distance around the circle. The radius is a line segment with one end point on the circle and the other endpoint on the center of the circle.
Which types of quadrilaterals have four congruent angles
Answer:
I'm gonna go with rectangle and square
Step-by-step explanation:
rectangle: 2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent.
Square: 4 congruent sides. 4 right angles (90°). Opposite sides are parallel. All angles are congruent.
The rectangle and square are the types of quadrilaterals that have four congruent angles. Then the correct option is A.
What is a quadrilateral?It is a polygon with four sides. The total interior angle is 360 degrees.
Types of the quadrilateral are as follows;
Square: All the angles of square are right angle that is 90°.Rectangle: All the angles of rectangle are right angle that is 90°.Rhombus: Opposite angles are same and adjacent angles are difference.Parallelogram: Opposite angles are same and adjacent angles are difference.Thus, the rectangle and square are the types of quadrilaterals that have four congruent angles.
Then the correct option is A.
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
#SPJ5
What is the area of the following right triangle?
Answer:
30 square units
Step-by-step explanation:
The area of the given right triangle can be found a couple of ways:
Pythagorean theoremThe missing side length can be found using the Pythagorean theorem relation between the sides:
c² = a² +b²
13² = a² +5²
a² = 169 -25 = 144
a = √144 = 12
Then the area is ...
A = 1/2ab = 1/2(12)(5) = 30 . . . square units
__
TrigonometryThe angle at lower right can be found from the trig relation ...
Cos = Adjacent/Hypotenuse
cos(A) = 5/13
A = arccos(5/13) ≈ 67.38°
The area can be found from these side lengths and the angle:
A = 1/2bc·sin(A)
A = 1/2(5)(13)sin(67.38°) = 30 . . . square units
_____
Additional comment
The sine of the angle can be computed from the cosine using the identity ...
sin(x) = √(1 -cos²(x))
In this case, the sine of the angle would be found to be 12/13, so the area would be computed as ...
A = 1/2(5)(13)(12/13) = 1/2(12)(5) . . . . same as using the Pythagorean theorem
Find the measure of angle U
Answer:
30 degrees
Step-by-step explanation:
first you have to find angle TSU which is 70 degrees
you get this my doing 180 - 110
then you add up all the angles in the triangle
so, 80 plus 70
you get 150
then you do 180 - 150 and get 30 degrees
Jarods bicycle wheel has a diameter of 27 inches. How far will the wheel have traveled in one full rotation? Use 3.14 for pi
Answer:
84.78 in
Step-by-step explanation:
in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is [tex]2*3.14*13.5[/tex] which equals 84.78
Which ordered pair in the form (x,y) is a solution of this equation?
7x-5y=28
A) (-3,-2)
B) (-2,-3)
C) (0,4)
D) (4,0)
This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?
144 square inches
184 square inches
224 square inches
264 square inches
Answer: 224
Step-by-step explanation:
I did the calculations don’t worry
Answer:
the person above me is correct
Step-by-step explanation:
math question screen shot down below
Answer:
A
Step-by-step explanation:
If the current amount he has is B and its 7 LESS then he had earlier add 7 back to find the amount he add at the start.
Answer:
b+7,Option 1
Step-by-step explanation:
Let the number of buttons Cole had at first be a,
We know,now he has b buttons remaining which is 7 less than a
In other words,
a-7=b
or,a=b+7
Which is the graph of g(x) = [X + 3]?
Answer
D or the fourth one because i took the quiz and got it right
The probability that a student guesses the correct answer to a five-choice multiple choice question is
P(correct) = 0.2. How many correct answers should a student expect to guess on a test with 95
five-choice multiple choice questions?
A student should expect to guess correct answers.
Answer:
19?
Step-by-step explanation:
Hope this helps
The possible outcomes are 0, 1, 2, …, 95 correct answers.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
P(correct) = 0.2
N=95
Now,
In this case, the random variable is the number of correct answers on a test with 95 five-choice multiple choice questions. Each question has a probability of 0.2 to be guessed correctly and a value of 1 point for each correct answer.
To find the expected value, we need to multiply the probability and the value for each possible outcome and then add them up.
Therefore, by probability the answer will be 0, 1, 2, …, 95 correct answers.
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
Which statement must be true?
Answer:
A
the two are parallel
Step-by-step explanation:
I hope its right
good luck!
How do you find the area of a pizza with a diameter is 18 inches
Answer:
The area of the pizza with a diameter of 18 inches is 254.34 inches.
Step-by-step explanation:
The formula to find the area of a cirlce is A = pi x r^2 or pi times radius squared.
Second, we need to find our radius. To find the radius we need to divide the diameter by 2 to get the radius. In this case; 18 divided by 2 is 9.
Then, we need to plug the radius in the formula:
A = 3.14 x 9^2
9 squared or 9 times 9 equals 81
Next, multiply 81 by 3.14 and you get 254.34
Lastly, add the units of measurement, which would be inches.
math question screen shot down below
Answer:
48
Step-by-step explanation:
100-52=48
Answer:
48
Step-by-step explanation:
1.First u have to order the numbers from least to greatest.
-52,58,66,71,72,79,82,84,85,94,98,100
2.Find the lowest number and the highest number.
-52 nd 100
3.Subtract the 2 numbers
100-52=48
To multiply two fractions, multiply the numerator by the numerator
and the denominator by the
RETRY
Answer:
multiply the numerator by the other numerator and denominator by the other denominator
1/2×2/4=2/8=1/4
HOPE YOU FOUND IT HELPFUL , PLEASE MARK AS BRAINLIEST
HELP!!!!!!!!!
Plz Show working:)
Step-by-step explanation:
Hope this help you !! ;))answer of (ii) : perimeter = 66m
area = 272m^2
Please help due in 30 min
Answer:
take your time dont rush
Step-by-step explanation:
can someone please find the volume of this ?
Answer:
998.4 m to the 3rd power
Step-by-step explanation:
BRAINLIEST!!!! PLZ HELP..
18. Identify the asymptotes of each function.
Answer:
x = 4, f(x) = 0
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{x-4}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x - 4 = 0 ⇒ x = 4 ← is the vertical asymptote of f(x)
Since the degree of the denominator > degree of denominator
There is a horizontal asymptote at y = 0 , that is f(x) = 0
help me you don’t have to explain!!
Answer:
option b ................
does anyone know this ????
Answer:
What exactly is the question asking? Is that the full question? The answer is 20
Step-by-step explanation:
Answer:
20 sq units
Step-by-step explanation:
The two triangles illustrated below are similar. What are the values of x and y?
Solve the following inequality in two ways and make a claim as to which
method is more efficient.
1/4 (8n - 12) < n + 2
Answer:
The solution of the given inequality n < 5
Step-by-step explanation:
Explanation:-
Given inequality
[tex]\frac{1}{4} (8 n -12 ) < n +2[/tex]
Step(i):-
Cross multiplication '4' we get
8 n - 12 < 4 ( n +2)
8 n - 12 < 4 n + 4×2
8 n - 12 < 4 n +8
Subtracting '4 n ' on both sides, we get
8 n - 4 n - 12 < 4 n - 4 n +8
4 n - 12 < 8
Step(ii):-
Adding ' 12 ' on both sides , we get
4 n -12 + 12 < 8 + 12
4 n < 20
Dividing "4' on both sides , we get
n < 5
The solution is n < 5
Conclusion:-
The solution of the given inequality n < 5
wil give bianleast
What are the first four terms in the multiplication pattern given by the formula: 2 • 4n?
8, 32, 128, 512
8, 32, 64, 512
2, 8, 32, 128,
32, 128, 512, 2048
Answer: B, but technically, all of them are correct except C.
Step-by-step explanation:
First, you fill in 1 for n:
= 2 x 4(1)
= 2 x 4
= 8
Next, I filled in 4 for n:
= 2 x 4(4)
= 2 x 16
= 32
Then, I filled in 8 for n:
= 2 x 4(8)
= 2 x 32
= 64
You can already figure this one out, and the answer is B.
Answer:
all are correct except the third choice.
Edward has $8000 in a savings account, has $2500 invested in the stock
market, owns home worth $30,000, has $20,000 left on his student loan
payment, and he has a $600 outstanding credit card debt. What is Edward's
total net worth?
A.19,900
B. 30,000
C. 20,600
D. 40,500
Answer:A 19900
Step-by-step explanation:
Answer:
A.19,900
Step-by-step explanation:
hope this helps!!
What is the solution to log Subscript 5 Baseline (x + 30) = 3
x= -95
x= -5
x= 5
x=95
Answer:
95
Step-by-step explanation:
The radius of a sphere is 8 centimeters. Which formula can be used to find the volume of the sphere?
Hey there! I'm happy to help you!
The formula for the volume of a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex], which is the the radius cubed multiplied by pi and 4/3. There are a lot of interesting proof videos out there about how this formula is derived and it is super cool and you would love it!
If our radius is 8 centimeters, we can plug it in like this:
[tex]V=\frac{4}{3} \pi (8)^{3}[/tex]
I hope that this helps! Have a wonderful day!
You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal
size. In this game, you win if the spinner lands on 1, 4, or 7. Your friend wins if the spinner lands on 2.5. or 8.
You tie if the spinner lands on 3. 6. or 9.
All the possible outcomes of the game are listed in the sample space
S = {1,2,3,4,5,6,7,8,9).
If we take A = {1.3.4.6:7.9} as a subset of the sample space, which of the statements below describe the
subset A?
Choose all answers that apply:
Answer:
-The subset consists of all of the outcomes where you do not lose.
-The subset consists of all of the outcomes where your friend loses, or there is a tie.
Step-by-step explanation:
Khan Academy
Statements that describe the subset A are option (a) and option (d).
What is a subset?A set of which all the elements are contained in another set. Subset can be empty or equal to the set.
Given sample of space S = {1,2,3,4,5,6,7,8,9}
And subset M of S = {1,4,7} where you win in the spinner game.
If the spinner lands on the subset N of S = {3,6,9} , you tie.
Given A = {1,3,4,6,7,9,} is a subset of S.
Now to verify the options;
In option (a) ;
The subset consists of all the outcomes where you win that means your friend loses or there is a tie. Because subset A does not contain any elements of subset {2,5,8}, where you lose.
In option (b) ;
The subset consists of all the outcomes where your friend ties. That means subset should only contain the elements of subset N = {3,6,9}. Which is clearly not. So this option is incorrect.
In option (c) ;
The subset consists of all the outcomes where there is not a tie and your friend does not win. That means subset S should only contain the elements from {1,4,7}. which is contradiction so this option is also incorrect.
In option (d) ;
The subset consists of all the outcomes where you do not lose. That means subset does not have any element from {2,5,8}.
Hence Correct answers are option (a) and option (d).
To learn more about the subset;
https://brainly.com/question/23454979
#SPJ2
The complete question is ;
You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal size. In this game, you win if the spinner lands on 1,4, or 7. Your friend wins if the spinner lands on 2,5, or 8. You tie if the spinner lands on 3,6, or 9.
All the possible outcomes of the game are listed in the sample space S= { 1,2,3,4,5,6,7,8,9} If we take A= { 1,3,4,6,7,9} as a subset of the sample space, which of the statements below describe the subset A?
a) The subset consists of all the outcomes where your friend loses or there is a tie.
b) The subset consists of all the outcomes where your friend ties.
c) The subset consists of all the outcomes where there is not a tie and your friend does not win.
d) The subset consists of all the outcomes where you do not lose.
