So the question is just asking you to do 2^20 / 2^10 = 2^10 . So 2^10
What is the gradient of the blue line
Answer:
Up 2 to the right 1
Step-by-step explanation:
that would be i think
In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of △ABC.
Don't use trig to solve, don't know how to.
The area of the right triangle is 18.02 cm².
How to find area of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, let's find the area of the right angle triangle as follows;
let's find the height and base of the triangle.
using trigonometric ratios,
cos 75 = adjacent / hypotenuse
cos 75 = base / 12
base = 3.10582854123
Therefore,
sin 75 = opposite / hypotenuse
sin 75 = h / 12
height = 11.5911099155
height = 11.59
Therefore,
area of the triangle = 1 / 2 × 3.11 × 11.59
area of the triangle = 36.0483518371 / 2
area of the triangle = 18.0241759186
area of the triangle = 18.02 cm²
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The drama club earned $1040 from a production. A total of 64 adult tickets and 132 student tickets were sold. An adult ticket costs twice as much as a student ticket. What is the price of each type of ticket sold? Use x for adult tickets and y for student tickets.
Answer: $8
Step-by-step explanation:
one adult ticket costs twice as much as one student ticket so
cost of 1 student ticket=x
cost of one adult ticket=2x
total money made=1040
adults+students=1040 so
64(2x)+132(x)=1040
128x+132x=1040
260x=1040
divide both sides by 260
x=4
1 student ticket=$4
1 adult ticket=2x=2(4)=$8
Ike- I went geek sorry..
3 to 2 if there are 120 children who like pizza, how many total
Answer:
320
Step-by-step explanation:
Is the 3 to 2 part to part? Out of every 5 people, 3 prefer pizza and 2 do not. We can us this to set up a proportion.
3/5 = 120/x The 3 represent the part that like pizza over the whole of 5. The second ratio is showing the actual number of people that liked pizza over the total number of people.
What would be multiply 3 by to get 120? 40. So, we will multiply 5 times 40 to get the total number of people. 5 x 40 = 200
Student Enrollment
The enrollment at a local college has been decreasing linearly. In 2004, there where 975 students enrolled. By
2009, there were only 730 students enrolled. Determine the average rate of change of the school's enrollment
during this time period, and write a sentence explaining its meaning.
The average rate of change=
The enrollment at the college has been [Select an answer at a rate of
Select an answer v
The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:
Average rate of change = (Change in enrollment) / (Change in time)
The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.
Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:
Change in enrollment = 730 - 975 = -245 students
The change in time can be calculated as:
Change in time = 2009 - 2004 = 5 years
Now we can calculate the average rate of change:
Average rate of change = (-245 students) / (5 years) = -49 students per year
Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
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583.31 divided by 7 minus 7.46 is closest to _____ of 100.
A recipe calls for 1/1/2 teaspoons of cinnamon to make 2 dozen oatmeal cookies.
How many teaspoons of cinnamon are needed to make 60 oatmeal cookies?
Answer:
45
Step-by-step explanation:
Answer:
Step-by-step explanation:
I got 3 3/4 cookies.
(-1,1,5)
9
8
7-
6
5
4
3₂
-3-2-1₁
(1,5)
(0,3)
Which exponential function is represented by the graph?
Of(x)=2(3¹)
Of(x)=3(3)
Of(x)=3(2)
O f(x) = 2(2¹)
The value of the equation that defines the function is f(x) = 3(5/3)ˣ
Finding an equation defining the functionFrom the question, we have the following parameters that can be used in our computation:
(0, 3) and (1, 5)
An exponential function is represented s
y = abˣ
Where,
a = y when x = 0
So, we have
y = 3bˣ
Using the other point, we have
3b = 5
This gives
b = 5/3
So, we have
f(x) = 3(5/3)ˣ
Hence, the equation defining f is f(x) = 3(5/3)ˣ
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Consider the spreadsheet for Stone Age Surfboards provided below. Use this data to answer the following question(s), using the Standard Solver
.Stone Age Surfboards is a small manufacturer of two types of popular low-tide surfboards, the Graystone and the Lava models. The manufacturing process consists of two departments: fabrication and finishing. The fabrication department has 8 skilled workers, each of whom works 9.25 hours per day. The finishing department has 5 workers, each of whom works a 6-hour shift per day. Each pair of Graystone surfboards requires 2.5 labor hours in the fabrication department and 2 labor hours in finishing. The Lava model requires 4.2 labor-hours in fabrication and 3.6 labor-hours in finishing. The company operates 6 days a week. It makes a per unit profit of $40 on the Graystone model and $60 on the Lava model. The company anticipates selling at least twice as many Lava models as Graystone models.
1. What is the total number of hours used for fabrication?
2. What is the total profit generated?
3. What will be the total profit contribution from Lava surfboards?
4. If the unit profit on Graystone surfboards is increased by $10, what is the total profit generated?
5. Due to decreasing profits, if the production of Graystone surfboards is stopped, compute the total profit the firm can earn.
Based on the information provided, the total number of hours required for the finishing procedure will be 22.95.
The total amount of hours necessary to complete 4.1 Rockwell models will be,
= 1.5 × 4.1 = 6.15 hours.
The total amount of labor hours required to complete 8.4 limestone models is
= 2 × 8.4 = 16.8 hours
As a result, the total number of labor hours necessary will be:
6.15 hours plus 16.8 hours
= 22.95 hours
The definition of cash flow statements, also known as statement of funds flows, show the flow of entering and exiting cash. This statement evaluates the enterprise's ability to create and utilise cash. This statement is one of the methods used to measure the enterprise's liquidity and solvency.
A cash flow statement is a type of financial statement that displays entire information. Including cash inflows from ongoing operations and external financing sources, as well as all cash outflows that pay for trade activities and finances throughout a certain time period.
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You would like to have $950,000 when you retire in 30 years. How much should you invest each quarter if you can earn a rate of 4.3% compounded quarterly? a) How much should you deposit each quarter? b) How much total money will you put into the account? c) How much total interest will you earn?
If you would like to have $950,000 when you retire in 30 years.
a. The amount deposited each quarter is $9,348.97.
b. The Total amount is $284,969.64
c. The total interest is $665,030.36
How to find the amount deposited?a) To find out how much you should deposit each quarter, you can use the formula for the future value of an annuity:
FV = PMT * (((1 + r)^n - 1) / r)
where:
FV = $950,000 (the future value you want to have)
PMT = the amount you deposit each quarter
r = 4.3% / 4 (the interest rate compounded quarterly)
n = 30 * 4 (the number of quarters until you retire)
Solving for PMT, we get:
PMT = FV / (((1 + r)^n - 1) / r)
PMT = $950,000 / (((1 + 0.043 / 4)^(30 * 4) - 1) / (0.043 / 4))
PMT = $9,348.97
b) Total amount
Total money = PMT * n
Total money = $9,348.97 * (30 * 4)
Total money = $284,969.64
c) Total interest earned
Total interest = FV - Total money
Total interest = $284,969.64 - $950,000
Total interest = $665,030.36
Therefore the amount deposited each quarter is $9,348.97.
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what is 313 3/5 x 65
Answer
20384
Step-by-step explanation:
Two angles of a right angled triangle are (x+2)° and (2x+4)°.find x
Answer:
28
Step-by-step explanation:
180=90+x+2+2x+4
90=3x+6
84=3×
x=28
(3.5 x 10^5) : (7x10^8)
What is the answer to this question?
: is divide
Answer:
5 • 10^-4 I evaluate this by using scientific notation.
The value of the ratio (3.5 x 10⁵) : (7x10⁸) is 0.0005.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
To solve (3.5 x 10⁵) : (7x10⁸), we can simplify the expression by dividing the numerical coefficients and dividing the exponents separately.
Dividing the numerical coefficients 3.5 and 7, we get:
3.5 ÷ 7 = 0.5
Dividing the exponents 5 and 8, we get:
10⁵ ÷ 10⁸ = 10⁵⁻⁸
= 10⁻³
Therefore, the simplified expression is:
0.5 x 10⁻³
We can further simplify this expression by converting 10⁻³ to a decimal:
10⁻³ = 1/1000 = 0.001
So, the final answer is:
(3.5 x 10⁵) : (7x10⁸) = 0.5 x 10⁻³
= 0.5 x 0.001
= 0.0005
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If a rope four yards long is cut into three equal pieces, each piece will be A. 4feet B. 3 1/2 feet C. 3 1/3 D. 3 feet E. 2 1/4 feet
Answer:
A 4 Feet
Explanation 4yards=12feet 12 divided by 3=4
The probability of winning a school raffle is 2%. What is the probability of not winning the raffle?
Answer:
98%
Step-by-step explanation:
If the probability of winning a school raffle is 2%, the probability of not winning the raffle would be 98%.
In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. The function v = 150d represents the company’s production for the coming year, v, with respect to the number of days, d.
The rate of change of the function representing the number of vehicles manufactured for the coming year is , and its graph is a . So, the function is a function.
Given:
v = 150d
v represents company's production for the coming year
d represents the number of days
150 is the daily production
The rate of change of the function representing the number of vehicles manufactured for the coming year is CONSTANT (150) , and its graph is a STRAIGHT LINE . So, the function is a LINEAR function.
I hope this helps!
Answer:
v = 150d
v represents company's production for the coming year
d represents the number of days
150 is the daily production
PLEASE HELP 50 POINTS
The total leaf mass of a certain species of young plant saplings is approximately normally distributed with a mean of 14.2 grams and a standard deviation of 0.5 grams.
a. What is the probability of obtaining a randomly chosen plant sapling with a total leaf mass of more
than 15 grams?
b. Identify the leaf mass that would represent the 99th percentile.
Answer:
THE ANSWER IS A
Step-by-step explanation:
CORRECT IF I WRONG
Review the information given based on a principal balance of $18,000 to answer the question:
FICO Score Simple Interest Rate Total # of Payments Total Amount Paid
800-850 12%
29
740-799 15%
33
670-739 18%
38
48
580-669 21%
300-579 28%
60
$20,160.00
$20,700.00
$21,240.00
$21,780.00
$23,040.00
Calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a
730 credit score. Round the final answer to the nearest tenth. (4 points)
O 20.0%
O 17.3%
O 19.5%
O 18.4%
Answer:
To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.
From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 15% * 33/12) = $20,700
Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 18% * 38/12) = $21,240
Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:
Percent increase = |(New value - Old value) / Old value| * 100%
Plugging in the values, we get:
Percent increase = |($21,240 - $20,700) / $20,700| * 100%
Percent increase = 2.6%
Rounding to the nearest tenth, we get the final answer as:
Percent increase = 2.6% ≈ 2.5% (rounded to the nearest tenth)
Therefore, the answer is O 2.5%.
Step-by-step explanation:
Question 4 of 5 A carry-on bag can weigh at most 45 pounds before the airline charges extra. Your empty suitcase weighs 8 pounds. Write and solve an inequality that shows how many pounds of items, x, you can pack in your suitcase without paying extra. O A. x+8>45 X> 37 OB. x-8245 X≥ 53 OC. x+8 ≤45 x≤ 37 D. x+8 ≤45 x≤ 53
Answer:
C
Step-by-step explanation:
if your suitcase already weighs 8 lbs and the limit is 45:
assume x is how much additional weight you can have
x+8 has to be ≤ 45.
subtract 8 for both sides
x≤37
Which inequality is graphed below
Answer:
wheres it at?
Step-by-step explanation:
#Everything4Zalo
6.If Addison types at a constant rate of 2 pages per hour, how many hours will it take to
type a paper that is 5 pages long?Immersive Reader
(20 Points)
0.4 hour
2.5 hours
5 hours
10 hours
Answer:
2.5 hours
Step-by-step explanation
it takes 1/2 a hour to write one page so do
5 x 1/2 which is 2.5 since there are 5 pages
Lynn has a watering can that holds 16 cups of water and she feels hot build it have well then she Waters her 15 plants so that each plant gets the same amount of water how many cups of water will each plant get.
Answer:
15
Step-by-step explanation:
spread the water out equally
you dont need to use all if you do then 15 1/16
A student in eighth grade notices that the current cost of of tuition, books, and fees at a 4 year college is $16,000 per year. The family reads that there is an annual increase of $450 per year.
What will the the total cost of tuition, books, and fees for this student when this student attends college for four years, after graduating high school?
$73,700
$75,700
$77,100
$78,900
Answer: It's (B) $75,700
What is the solution to the linear equation 5x - 2= -22
Answer:
Step-by-step explanation:
x=24/5
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Gifts are packaged in cylinders.
Each cylinder is 12 cm high with a diameter of 8 cm.
Calculate the volume of each cylinder.
Use 3 as a value for at
Give your answer using the correct units.
Answer:
Step-by-step explanation:
V = \(\pi r^{2} h\)
V = (3.14)(16)(12)
V = 50.24 cm³
help asap ty
will possibly mark brainliest.
Answer:
Step-by-step explanation:
Letter B is the correct answer
Initial population is 200, tripled every hour
200 x 3 = 600
First hour 200
Second hour = 600 + 200 = 800
Third hour 800x3 = 2400 + 800 = 3200
and so on.
The figure below is made of two triangular prisms. What is the volume of the figure?
Answer:
1792
Step-by-step explanation:
What is 15% of 130.00
Which table represents a function?
Answer:
A (the first table)
Step-by-step explanation:
A is a function because none of the x-values are paired with more than one y-value