Answer:
f(x) = 100*(1/2)ˣStep-by-step explanation:
Exponential function is:
f(x) = a*bˣUse two points on the graph to determine the value of a and b:
(0, 100), (1, 50)Find the values of a and b:
f(0) = a*b⁰ = a = 100f(1) = a*b¹ = ab = 100b = 50 ⇒ b = 50/100 = 1/2The function is:
f(x) = 100*(1/2)ˣGeneral equation
y=ab^xNos
Plot (0,100)
100=ab⁰a=100Again put (1,50)
50=ab¹50=100bb=0.5so
final equation
y=100(0.5)^xWhich expression represents the prime factorization of 243?
A ) 3×3×3×3×2
B ) 3×3×3×3×3
C ) 3×3×3×3×2×2
D ) 3×3×3×3×3×3
Answer: B) 3 × 3 × 3 × 3 × 3
Concept:
In factorization, the easiest way is to divide the term multiple times by the least factor each time until the answer is not divisible. Then, multiply all the factors and the remainder together to get the factorization of a term.
Solve:
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Therefore, the prime factorization of 243 = 3 × 3 × 3 × 3 × 3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
B
Step-by-step explanation:
how could it not be??
The length of a rectangle is 3 cm more than twice the width. If the area of the rectangle is 90 square cm, find the dimensions of the rectangle.
Let the width of the rectangle be "w".Then the length of the rectangle is given by "3 cm more than twice the width."Therefore, length (l) = 2w + 3.The area of a rectangle is given by the product of its length and width. Thus we can write an equation for the area of the rectangle.
A = l × w Substituting l and w in terms of each other we get; A = (2w + 3) × w ⇒ 2w² + 3w - 90 = 0This quadratic equation can be factored as (2w + 15)(w - 6) = 0.So the width of the rectangle can be either -15/2 (rejected) or 6 cm. And the length of the rectangle is (2 × 6) + 3 = 15 cm. The dimensions of the rectangle are 6 cm by 15 cm. The length of a rectangle is 3 cm more than twice the width. If the area of the rectangle is 90 square cm, find the dimensions of the rectangle.
In summary, data markers are used in charts to represent individual data points. They are often used in combination with other chart elements, such as axes, gridlines, and legends, to help viewers understand the data being presented. The column, bar, area, dot, pie slice, or other symbol in a chart that represents a single data point is a data marker. Data markers provide you with a visual representation of the data in a chart. For example, in a column chart, each column represents a single data point.
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Jay needs $20 to buy her radio she has saved $15 what percent of the cost of the radio has she saved
Answer:
25% would be the answer hope this helps. have a good day!
Answer: 75%
Step-by-step explanation:
0.75 x 20 = 15
Calculate the fee charger for R2500 withdrawal from town Bank
The fee charged for the R 2, 500 withdrawal from TownBank would be R 33. 30.
How to find the fee charged ?To find the total fee charged to withdraw the sum of R 2, 500 from TownBank, the formula is :
= 3. 30 + R 1, 20 per R 100
The amount withdrawn was R 2, 500 so the total fee charged would be :
= 3. 30 + 1, 20 x ( 2, 500 / 100 )
= 3. 30 + 1. 20 x 25
= 3. 30 + 30
= 33. 30
= R 33. 30
In conclusion, the total fee charged was R 33. 30.
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First part of the question :
The TownBank current account charges R3,30 plus R1,20 per R100 or part thereof for a cash withdrawal from a TownBank ATM. The first five withdrawals in a month are free. Determine the bank charges for a withdrawal of:
Kirsten drew two sides of a square on the grid shown below. Each side had a length of 5 units. The three vertices of the square are shown on the grid.
u Pau
у
5
+
3
2
2
1 2 3 4 5
X
-5-4-3 -2 -10
-2
-2
N
4
Which of the following ordered pairs best describes the location of the fourth vertex of the square?
O A. (2.2)
O B. (2.1)
O C. (12)
Answer:
If each square (from the squared paper) has side length 1, then that hexagon has four sides of length √12+42=√17 and two sides of length √32+32=√18.Step-by-step explanation:
Si quieres construir un marco para una pintura ¿como puedes calcular la cantidad de madera que necesitaras ?
To calculate the amount of wood needed to build a frame for a painting, you would need to consider the dimensions of the frame.
How to determine the wood needed ?Measure the length and width of the painting in the desired unit of measurement. Decide how wide you want the frame to be around the painting. Add twice the desired width of the frame to both the length and width of the painting.
Multiply the sum of the length and width of the frame by 2. If you want to create mitered corners for a more professional look, you will need to add some extra length to account for the angled cuts. Multiply the length of wood needed for each side by the number of sides .
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A data set comparing a woman's shoe size to her height is represented by the table.
Shoe Size Height (inches)
7.5 63
9 72.5
11 70
7 62
9 69.5
10 72
12 72.5
13 73
13 70
What is the equation for the line of best fit for a woman's height, y, based on her shoe size, x?
Answer:
10 72
Step-by-step explanation:
product of 2 and the difference between t and 1 is 14
Answer:
2x + t - 1 =14
Step-by-step explanation:
give me brainliest plz and hope this helps also i am very good at math so that is a reassurance that this is correct
RATING BRAINLIEST Which of the following demonstrates the Distributive Property?
4(2a + 3) = 8a + 3
4(2a + 3) = 2a + 12
4(2a + 3) = 6a + 7
4(2a + 3) = 8a + 12
Answer:
D: 4(2a+3)=8a+3
Step-by-step explanation:
4x2a = 8a and 4x3 = 12
Answer:
just saying this so other can get brainliest
Step-by-step explanation:
d
If a 32 pack of 12oz, soda cans cost
$11.20, what would a sixtenn pack of
12oz. soda cans cost?
Answer:
$5.6
Step-by-step explanation:
32÷2 = 11.20 ÷2
16 = 5.6
therfore ,answer should be $5.6
Angie scored 77 points on a test but only received a 35% grade on the test. How many points were possible on the test.
Answer:
77 is 35% of: 220
Step-by-step explanation:
Who wants to play Among us with me!!!
josephine has three chemistry books, three history books, and nine statistics books. she wants to choose one book of each type to study. in how many ways can she choose the three books?
She can choose three books in 54 ways
What is permutation?
Permutation is a technique involving in which a set or number of things can be ordered or arranged. We use permutation to solve and compute answers
We are given that, Josephine has three chemistry books, three history books, and nine statistics books
She has to choose one from each subject
Firstly She has 3 chemistry books
This can be selected in 3 ways
Then She has 3 history books
This can be selected in 3 ways
Ans finally she has 9 statistics books
This can be selected in 9 ways
Hence total ways in which she can select 3 books is 3*3*9= 54 ways
Hence in 54 ways she can choose three books
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If you have a line with a Slope of -4 and a y-intercept of -2, what would be the equation of that line?
Question 6 options:
y = -4x + 2
y = -2x - 4
y = -4x - 2
y = -2x + 4
Answer:
y = -4x - 2
Step-by-step explanation:
y = mx + b where
m = slope, and b = y-intercept
slope = -4 = m
y-intercept = -2 = b
y = mx + b
y = -4x - 2
Answer: y = -4x - 2
(PLEASE HELP) what equation represents this graph
Answer:
b
Step-by-step explanation:
Answer:
the answer should be B
Step-by-step explanation:
the +2 at the end is the y intercept and the 2/4 simplifys to 1/2 is rise over run. If you start where the line hits the x axis you will go up 2 (rise) and over 4(run)
From 2006 to 2010, the population of a town declined to 22,000. The population is expected to continue to decline at a rate of 2. 8% each year.
What will the population be in 2040?
Round to the nearest whole number
Enter your answer in the box
The population of the town in 2040 will be 9384.
According to the question,
We have the following information:
From 2006 to 2010, the population of a town declined to 22,000. The population is expected to continue to decline at a rate of 2.8% each year.
Rate of decline = 2.8/100
Rate of decline = 0.028
Number of years = 30 years (time between 2010 and 2040)
We know that the following formula is used to find the future population:
Future population = present population\((1-I)^{n}\) where I is the rate of decline and n is the number of years
Future population = 22000\((1-0.028)^{30}\)
Future population = 9384.49
Future population = 9384
Hence, the population of the town in 2040 will be 9384.
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Look at the simultaneous equations below.
(1) x-2y=10
(2) x-2=6y
a) Rearrange equation (2) to make x the subject.
b) Using your answer to part a), solve the simultaneous equations using substitution.
Answer:
a) To make x the subject of equation (2), we need to isolate x on one side of the equation. We can do this by adding 2 to both sides, and then dividing both sides by 6:
x - 2 = 6y
x = 6y + 2
b) We can now substitute the expression 6y + 2 for x in equation (1):
6y + 2 - 2y = 10
Simplifying the left-hand side, we get:
4y + 2 = 10
Subtracting 2 from both sides, we get:
4y = 8
Dividing both sides by 4, we get:
y = 2
Now we can substitute y = 2 back into either equation to find x. Let's use equation (2), since we have already rearranged it to make x the subject:
x = 6y + 2
x = 6(2) + 2
x = 14
Therefore, the solution to the simultaneous equations is x = 14 and y = 2.
Step-by-step explanation:
The range of computer-generated random numbers is
[0, 1)
[–8, 8]
[–8, 0)
[1, 8]
The confusion matrix for a classification method with Class 0 and Class 1 is given below. What is the percent overall error rate? a. \( 45.67 \% \) b. \( 37.50 \% \) c. \( 55.82 \% \) d. \( 38.70 \% \
The correct option is option (b). The percent overall error rate for the given confusion matrix is approximately 37.5%.
In the confusion matrix, the diagonal elements represent the correct predictions, while the off-diagonal elements represent the incorrect predictions. The overall error rate is calculated by summing up the incorrect predictions and dividing it by the total number of predictions.
In this case, the total number of predictions is the sum of all the elements in the confusion matrix, which is 80 + 100 + 20 + 120 = 320.
The total number of incorrect predictions is the sum of the off-diagonal elements, which is 100 + 20 = 120.
The percent overall error rate is then calculated by dividing the total number of incorrect predictions by the total number of predictions and multiplying by 100:
(120 / 320) * 100 = 37.5%.
Therefore, the percent overall error rate is approximately 37.5%, which corresponds to option b.
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The range of computer-generated random numbers is
[0, 1)
[–8, 8]
[–8, 0)
[1, 8]
The confusion matrix for a classification method with Class 0 and Class 1 is given below. What is the percent overall error rate?
confusion matrix
actual/predicted 0 1
0 80 100
1 20 120
\(a. \( 45.67 \% \)\\b. \( 37.50 \% \)\\ c. \( 55.82 \% \)\\ d. \( 38.70 \% \\)
The running trail in the local park is 2.826 miles long. If the park board were planning to extend the trail by 1.46 miles, what would the new length of the running trail be?
A.
4.093
B.
4.286
C.
4.682
D.
5.216
E.
5.443
Answer:
The answer is B. 4.286
Step-by-step explanation:
2.826+1.46= 4.286
AB = 9 cm and BC = 6.75 cm. Find DB.
A
B
D
C
DB
cm
Answer:
11.25
Step-by-step explanation:
Answer:
DB = 11.25cm
Step-by-step explanation:
We need to find the diagonal.
d² = 9² + 6.75²
d² = 81 + 45.5625
d² = 126.5625
d = 11.25
Best of Luck!
the magical coin that doubles every day.
will the value of the magical coin exceed to a million dollars within 28 days? explain or show your reasoning.
yes, if the value of the coin is 1 dollar, then it will exceed the million dollars within 28 days.
Will the value of the magical coin exceed to a million dollars within 28 days?
It will depend on the original value of the coin, value that we don't know, so I will assume that the value of the coin is $1.
If this coin doubles each day, then the day zero its value is $1.
After one day its value is 2*$1 = $2
After another day its value is 2*$2 = $4
And so on, this is modeled by the exponential equation:
y = $1*(2)^x
Where y is the total value and x is the number of days.
After 28 days (this means we use x = 28) the value will be:
y = $1*(2)^28 = $268,435,456
That is a lot more than one million dollars.
So yes, if the value of the coin is 1 dollar, then it will exceed the million dollars within 28 days.
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20 POINTS TO WHOEVER SOLVE THIS !
Applying the linear pair theorem and the sum of interior angles of hexagon, we have:
Angle 7 = 92°
Angle 1 = 107°
What is the Linear Pair Theorem?According to the linear pair theorem/postulate, when two angles lie on a straight line, the sum of their measures equals 180 degrees.
Angle 7 lie on a straight line with 88°, therefore, applying the linear pair theorem, we have:
Angle 7 + 88 = 180
Subtract both sides by 88
Angle 7 + 88 - 88 = 180 - 88
Angle 7 = 92°
Also, using the linear pair theorem, we have:
Angle 5 = 180 - 64
Angle 5 = 116°
Angle 3 = 180 - 57
Angle 3 = 123°
Sum of interior angles of hexagon equals 720°, therefore:
Angle 1 + angle 3 + angle 5 + angle 7 + 118 + 164 = 720°
Plug in the known values
Angle 1 + 123 + 116 + 92 + 118 + 164 = 720
Angle 1 + 613 = 720
Subtract both sides by 613
Angle 1 + 613 - 613 = 720 - 613
Angle 1 = 107°
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The test scores of students in a math class are 46, 40, 50, 43, 35, 41, 50, 42, 38, and 48. What is the mean of this set of data? A. 35.6 B. 40 C. 43.3 D. 50
Answer:
C. 43.3
Step-by-step explanation:
The mean or average of a data set can be found by adding up all the values and dividing by the number of values.
1. Add up all the values
The values: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
Add them together: 46 +40+50+ 43+35+41+50+ 42+38+48
433
2. Divide by the number of values
Count how many numbers are in the set of data.
Data Set: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
10 values
Divide 433 by 10
433/10
43.3
The mean of the set of data is 43.3 and the correct answer is C.
Answer:
43.3
Step-by-step explanation:
I added up all the numbers and divided by the number of numbers.
A store is designing the space for rows of nested shopping carts.
Each row has a starting cart that is `4` feet long, followed by the nested carts. (`0` nested carts means there's just the starting cart.)
• A row of `13` nested carts is `23.5` feet long.
• A row of `18` nested carts is `31` feet long.
Enter the appropriate label and scale for each axis, and drag the movable points to create a graph of the situation.
By creating a graph that shows the relationship between the number of carts and the space required, the store can better design the space for rows of nested shopping carts.
To design the space for rows of nested shopping carts in a store, a graph can be created that shows the relationship between the number of carts and the amount of space required.
This can be done by plotting the number of carts on the x-axis and the space required on the y-axis.The appropriate labels for each axis are "Number of Carts" for the x-axis and "Space Required" for the y-axis.
The scale for the x-axis would depend on the maximum number of carts that the store wants to accommodate, while the scale for the y-axis would depend on the amount of space that each cart takes up.
The movable points on the graph can be used to illustrate different scenarios.
For example, if the store wants to know how much space would be required for 50 carts, the movable point can be placed at 50 on the x-axis, and the corresponding space required can be read off the y-axis.
Similarly, if the store wants to know how many carts can be accommodated in a given amount of space, the movable point can be placed at the desired space on the y-axis, and the corresponding number of carts can be read off the x-axis.
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The perimeter (adding up all the sides) of a rectangular
piece of land is 42 meters. The length of the land can
be shown by (x + 4) and its width can be shown by
(2x – 7).
Solve for x, and then plug it back in to find the Length
and the Width of the land.
-7)
Answer:
x = 8
length is 12 meters
width is 9 meters
Step-by-step explanation:
P = 2l + 2w
where l is the length and w is the width.
(There are two sides with the same length, and two sides with the same width.)
Let l = x + 4 and w = 2x - 7
so 2(x+4) + 2(2x-7) = 42
Distribute the 2s
2x + 8 + 4x - 14 = 42
Combine like terms
2x + 4x + 8 - 14 = 42
Group
6x - 6 = 42
Add 6 to both sides
6x = 48
Divide 6 on both sides
x = 8
Plug back in
l = 8 + 4 = 12 meters
and w = 2(8) - 7 = 16 - 7 = 9 meters
Double-check: 2 * 12 + 2 * 9 = 24 + 18 = 42
What is the area of a triangle with a height of 4mn^5 and a base of 5m^3n^4?
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
16=x
Step-by-step explanation:
the two sides are equal, soo i set them equal to each other and add 18 to 16 then divide each side by two and get 16 = x
A scientist has 315 cells in a container. she expects the number of cells to triple in one day. how many cells will the scientist have after one day? include all necessary work to support your answer.
If a scientist has 315 cells in a container and she expects the number of cells to triple in one day then the number of cells the scientist will have after one day is equal to 945.
The number of cells the scientist will have after one day can be figured out using multiplication. Multiplication is one of the four parts of arithmetic. It can be considered as the opposite of division and can be defined as the repeated addition of the same number or groups of equal sizes.
The number of cells the scientist will have after one day can be calculated as follows;
Number of cells = 315
As it is expected to triple, which means that it is expected to increase three times in amount.
Therefore;
3 × number of cells in the container
3 × 315 = 945
Hence, the number of cells the scientist will have after one day is calculated to be 945.
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need help asap. low geometry grade
Answer:
x=9.3
Step-by-step explanation:
use SohCahToa
in this case u use cos
cos(41°)=7/x
x=7/cos(41)
x=9.275090953
x=9.3
simplfy 5 + 2(6 - 4)3LaTeX: \div÷4(4) - 2 + 8
The answer is 5 enjoy the answer!