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]
Indicate whether each of the following fractions is proper or improper.
a. 4⁄16
b. 75⁄70
c. 2⁄15
d. 6⁄6
Answer:
Answers are below
Step-by-step explanation:
a. 4⁄16 Proper because the numerator is less than the denominator.
b. 75⁄70 Improper because the numerator is greater than the denominator.
c. 2⁄15 Proper because the numerator is less than the denominator.
d. 6⁄6 Proper because the numerator is less than or equal to the denominator.
If these answers are correct, please make me Brainliest!
Help me on both these please :(
Answer:
25. C
26. F
Step-by-step explanation:
26.
You know that the sum of all of the angles in a triangle must be equal to 180º, we can make an equation.
55º + 67.5º + 3xº + 14º = 180º
Combine like terms:
136.50º+ 3xº = 180º
Subtract 136.50º
3xº = 180º - 136.50º
3xº = 43.50º
Divide by 3
xº = 43.50º / 3º
x = 14.50º
The grid you see below is in the shape of a rectangle. What is the area, in square
units, of the shaded part?
Answer:
The area of the shaded region is [tex]18\ \text{units}^2[/tex].
Step-by-step explanation:
On the attached figure, a rectangle is shown. It is required to find the area of the shaded part. The shaded part forms a triangle. The area of a triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h[/tex]
b is base and h is height
From this figure, each box is a square of side 1 unit say.
Its height will be 4 units and its base is 9 units
So,
[tex]A=\dfrac{1}{2}\times 9\times 4\\\\A=18\ \text{units}^2[/tex]
So, the area of the shaded region is [tex]18\ \text{units}^2[/tex].
What is the length of the hypotenuse
Answer:
15ft
Step-by-step explanation:
a^2 + b^2 = c^2
12 or 9 can equal to b or a
12^2 + 9^2 = c^2
144 + 81 = c ^2
225 = c^2
Square root of 225
15 = c
Answer:
15
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
81+144 = c^2
225 = c^2
15 = c
help as soon as possible plss
Answer:
By using the Pythagorean Theorem, we know that the length of the slide is 17 ft.
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this equation.
[tex]a^2+b^2=c^2[/tex]
a = 8
b = 15
Now, let's plug in these numbers so we can know the length of the slide.
[tex]8^2+15^2=c^2\\64+225=c^2\\289=c^2\\\sqrt{289}=\sqrt{c^2}\\17=c[/tex]
So, the length of the slide is 17 ft which is answer choice C.
Answer:
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
64 + 225 = c^2
289 = c^2
[tex]\sqrt{289}[/tex] = c
17
Solve for x. Explain the steps taken to find the solution.
3/2 + 3x/5 = 9/2 4x/5
Answer:
46
i just got it right
Which interval represents a peak in the histogram?
0-99
100-199
200-299
300-499
400-499
Describe the overall shape of the histogram:
Answer:
it is 200-299
Step-by-step explanation:
i think that because it shows it and it is easy i mean if u look at it it shows the answer
The graph of F(x), shown below in pink, has the same shape as the graph of
G(X) = x2, but it is flipped over the x-axis and shifted down 1 unit. What is its
equation?
We have been given that the graph of [tex]F(x)[/tex] has the same shape as the graph of [tex]G(x)=x^2[/tex], but it is flipped over the x-axis and shifted down 1 unit. We are asked to find the equation of [tex]F(x)[/tex].
We will use transformation rules to solve our given problem.
The rule of reflection of a graph about x-axis is [tex]f(x)\Rightarrow -f(x)[/tex].
Let us find [tex]-G(x)[/tex] as:
[tex]-G(x)=-(x^2)=-x^2[/tex]
Now we will shift our graph 1 unit down.
[tex]f(x)-a\Rightarrow\text{Graph shifted downwards by a units}[/tex], where a is a positive number.
This is same as subtracting 1 from [tex]-x^2[/tex] as:
[tex]F(x)=-x^2-1[/tex]
Therefore, our required function would be [tex]F(x)=-x^2-1[/tex].
what is 9^3 as a power of 3
Answer:
729
Step-by-step explanation:
9³ you just type that in the calculator
Answer:
[tex] {3}^{6}[/tex]
Step-by-step explanation:
[tex] \huge {9}^{3} \\ \huge= ( {3}^{2} )^{3} \\ \huge = {3}^{2 \times 3} \\ \huge= {3}^{6}[/tex]
The points (-16,r) and (-4,11)lie on a line with slope 1/2. Find the missing coordinate r?
Answer: The missing coordinate R is 5.
Step-by-step explanation:
11=1/2(-4) + B
11=-2 +B
B= 13
B represents the y-intercept
so we will use the equation y=mx + B and we know the slope and y intercept.
r= 1/2(-16) + 13
r= 5
How many 3-letter combinations can be made from this set if no letter can be repeated?
{a, b, c, d, e, f}
A.100
B.120
C.240
D.30
Answer:
B 120 different combinations
Step-by-step explanation:
There are 6 letters to choose from
Picking a letter for the first spot 6
Then there are 5 letters left
Picking a letter for the second spot 5
Then there are 4 letters left
Picking a letter for the second spot 4
6*5*4
= 120
Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a to the power of 5 and 9a to the power of 5.
Answer:
[tex]36a^5[/tex].
Step-by-step explanation:
In a right angle triangle,
Length of one leg [tex]=12a^5[/tex]
Length of other leg [tex]=9a^5[/tex]
According to the Pythagoras theorem,
[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]
Using Pythagoras theorem,
[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]
[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]
[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]
[tex]Hypotenuse=15a^5[/tex]
Perimeter of right angle triangle is the sum of all sides of the triangle.
[tex]Perimeter=12a^5+9a^5+15a^5[/tex]
[tex]Perimeter=36a^5[/tex] units.
Therefore, the required expression is [tex]36a^5[/tex].
Sandra bought 3 pounds of sweet potatoes for
$4.50. What is the cost per pound of the sweet
potatoes?
Answer:
$1.5
Step-by-step explanation:
A line passes through the point (-8,3) and had a slope of -3/4. Write an equation in point-slope form for this line
Answer:y-3=-3/4(x+8)
Step-by-step explanation: you plug the numbers into the formula y-y1=slope(x-x1)
Solve 5(g-2)+g=6(g-4
Answer:
g = -13
Step-by-step explanation:
5(g-2)+g=6(g-4)
5g - 10 + g = 6g - 24
5g + g - 6g = -24 + 10
6g - 6g = -13
g = -13
What is the mean absolute deviation of this data set? 26, 31, 32, and 39
Answer:
3.5
Step-by-step explanation:
26, 31, 32, and 39
First we need to find the mean
(26+ 31+ 32+ 39) /4
128/4 = 32
The mean absolute deviation is sum of the positive difference between the number and the mean divided by the number of terms
((32-26)+ (32-31)+ (32-32)+ (39-32)) /4
14/4
3.5
What is the y-intercept of the graph of the equation y = 4(3^x)?
a. (0,3)
b.(0,12)
c.(0,8)
d.(0,4)
A weight is attached to a spring which moves up and down as a function of time
plt) uves the position of the weight at time (t). Position is in centimeters and time is in seconds
Complete the following sentences based on the graph of the function,
• The graph is a nonlinear function
• The initial position of the weight is centimeters
• The weight first reaches equilibrium Whent = seconds)
Note: We say that the weight is at equilibrium whenever plt) = 0 cm, and we say that the initial position of the block
is its position when t = 0
a circle with a radius of 1 unit
Answer:
C= 6.28 A: 3.14
Step-by-step explanation:
Circumference of a circle is 2* pi * r
Based on this, we can subsitute r for 1
2* pi * 1= 2pi which is around 6.28 units
Area of a circle is pi* r* r
Based on this, we can subsitute r for 1
pi* 1* 1= pi= 3.14 units squared
Sarah solved this system of equations. 4x + 2y = –14 –10x - 7y = –25 Step 1: 40x + 20y = –140 –40x - 28y = 100 Step 2: –8y = –40 Step 3: y = 5 Step 4: 4x + 2(5) = –14 Step 5: x = –6 Step 6: Solution: (–6, 5) Did Sara find the correct solution to the system of equations? Explain. Yes, Sara found the correct solution. No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4. No, in step 4, she substituted the value of y back into the wrong equation to solve for x. No, in step 6, she switched the order of the solution. It should be (5, –6).
Answer:
The answer is B "No, in step 1 she multiplied the right side of the second equation by -4 instead of by 4"
Step-by-step explanation:
Answer:
A) Yes, Sara found the correct solution.
B) No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4.
C)No, in step 4, she substituted the value of y back into the wrong equation to solve for x.
D)No, in step 6, she switched the order of the solution. It should be (5, –6).
Answer = B) No, in step 1 she multiplied the right side of the second equation by –4 instead of by 4.
Step-by-step explanation:
I just did the assignment.
Yesterday, the price of a gallon of gas at five gas stations was $3.72, $3.87, $3.78, $4.09, and $3.989, respectively, but today each gas station raised its price by $0.08. What is today's mean price of a gallon of gas at the five stations?
A. 3.97
B. 4.05
C. 3.89
D. 3.81
Answer:
Option (A) 3.97.
Step-by-step explanation:
Price for one gallon of gas in gas station 1 = $3.72 (Yesterday)
Price for one gallon of gas in gas station 2 = $3.87 (Yesterday)
Price for one gallon of gas in gas station 3 = $3.78 (Yesterday)
Price for one gallon of gas in gas station 4 = $4.09 (Yesterday)
Price for one gallon of gas in gas station 5 = $3.989 (Yesterday)
Prise raised by each gas station Today = $0.08
Price for one gallon of gas in gas station 1 = $3.72 + $0.08
= $3.80 (Today)
Price for one gallon of gas in gas station 2 = $3.87 + $0.08
= $3.95 (Today)
Price for one gallon of gas in gas station 3 = $3.78 + $0.08
= $3.86 (Today)
Price for one gallon of gas in gas station 4 = $4.09 + $0.08
= $4.17 (Today)
Price for one gallon of gas in gas station 5 = $3.989 + $0.08
= $4.069 (Today)
Mean = Sum of the Terms Number of Terms / Total Number of Terms
= $3.80 + $3.95 + $3.86 + $4.17 + $4.069 / 5
= 19.849 / 5
= 3.9694
= 3.97 (Approximately)
As we can see that the Option (A) 3.97 correctly matches the answer.
So the correct answer is Option (A) 3.97.
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Find an explicit formula for the geometric sequence 3, 15, 75, 375...
Answer:
3 * 5 ^ (n-1)
Step-by-step explanation:
3 is the first term and it multiplies by 5
The explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]
The standard explicit formula for a geometric sequence is expressed as:
[tex]T_n = ar^{n-1}\\[/tex]
a is the first term
r is the common ratio
n is the number of terms
Given the sequence of numbers 3, 15, 75, 375...
r = 15/3 = 75/15 = 5
a = 3
Substitute the given parameters into the formula to have:
[tex]T_n = ar^{n-1}\\T_n=3(5)^{n-1}[/tex]
Hence the explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]
Learn more here: https://brainly.com/question/20548958
please help im having trouble with these problems
Answer:
B I think
Step-by-step explanation:
Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
A quadratic function is represented as:
[tex]y = a(x - h)^2 + k[/tex]
The vertex of the quadratic function is given as:
[tex](h,k) = (0,6)[/tex]
So, we have:
[tex]y = a(x - 0)^2 + 6[/tex]
This gives:
[tex]y = ax^2 + 6[/tex]
The quadratic function passes through (-1,-2).
So, we have:
[tex]-2 = a(-1)^2 + 6[/tex]
[tex]-2 = a + 6[/tex]
Subtract 6 from both sides
[tex]a = -8[/tex]
Substitute -8 for a in [tex]y = ax^2 + 6[/tex]
[tex]y = -8x^2 + 6[/tex]
Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
Read more about quadratic functions at:
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PLS HELP!! AND HURRY!! Find an expression for the nth term (tn) in each of the following sequence:
2, 6, 10, 14, 18…
Answer:
For the expression they are adding by 4.
Step-by-step explanation:
2+4=6, 6+4=10, 10+4=14, 14+4=18, 18+4=22, and it goes on and on.
A data set is normally distributed with a mean of 115 and a standard deviation of 23. What is the probability that a value in the data set is greater than or equal to 162?
The probability is about __
Answer:
The probability that a value in the data set is greater than or equal to 162
P(X≥162) = 0.0207
Step-by-step explanation:
Step(i):-
Given mean of the Population = 115
Given standard deviation of the Population = 23
Let 'x' be the random variable of normal distribution
Let x = 162
[tex]Z = \frac{x-mean}{S.D} = \frac{162-115}{23}[/tex]
z = 2.043
Step(ii):-
The probability that a value in the data set is greater than or equal to 162
P(X>x) = P(Z>z) = P(Z> 2.043)
P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)
= 1- ( 0.5 +A(2.043)
= 1-0.5 -A(2.043)
= 0.5 - 0.4793
= 0.0207
Final answer:-
The probability that a value in the data set is greater than or equal to 162
P(X≥162) = 0.0207
If the probability of a chance event is 0.67, it is less likely to happen
than which of the following probabilities of another chance event?
Select one:
0.76
0.61
0.65
0
Answer:
.76
Step-by-step explanation:
Find one value of x that is a solution to the equation:
(2x-3)^2=4x-6
Answer:
5/2 or 3/2
Step-by-step explanation:
(2x-3)(2x-3)
FOIL it out
4x^2-6x-6x+9
4x^2-12x+9=4x-6
add 12x to each side
4x^2+9=16x-6
add 6
4x^2+15=16x
4x^2-16x+15=0
use quadratic formula
!!15p!!
Which statement explains how to calculate the mean of a set of data?
A
Subtract the smallest from the largest value.
B. Add the largest and the smallest values and divide by 2.
C. Find the sum of all the values and then divide by the number of values.
D. Organize the data from least to greatest and find the value in the middle.
E Organize the data from least to greatest and identify which value is repeated the most often.
Answer:
C
Step-by-step explanation:
Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!
box and whisker 45 50 55 60 65 70 75
Answer: 40 45 50 55 60 65 70 75 80 40 45 50 55 60 65 70 75 80 H J G 40 45 50 55 60 65 70
Step-by-step explanation: Keeps repeating
Answer:
Please see attached image of a box plot.