answer:
16.20
step by step
what is the rate of change of the area of a circle with respect to the radius when the radius is r=3
Now the formula for the area of a circle is: πr². So we take 3 and just put it into the equation. π·3²=28.27. This is the area of the circle. Now the rate of change I think would just be the difference between the radius and the area of the circle so 28.27-3=25.27.
Sheila has investments totaling $8000 in two
accounts. The savings account pays 6% interest and the
other account is in bonds paying an interest rate of
11%. If the annual interest from the two investments
totaled $780, how much did she invest in each account?
The amount she invested in each account is:
$6,000 invested at 11%
$6,000 invested at 6%
Let x represent the amount invested at 11%
Hence:
.11x+.06(8000-x)=780
.05x+480=780
Collect like terms
.05x=300
Divide both side by .05x
x=300/.05
x=$6,000
Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.
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Emily went to soccer practice 6 times last month. Each practice is 90 minutes long.
How long did Emily spend at soccer practice last month?
Answer:
74 days. thanks me later lol nag check out
Answer:
What is 540 minutes or 9 hours spent practicing soccer
Step-by-step explanation:
90*6=540 minutes
540/60(minutes in 1 hour)
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what is 4 7/10 × 1/2 plz help me I don't know it please im thankful to whoever help me thank you so much
Answer:
2 7/20
Step-by-step explanation:
4 7/10 × 1/2 = 47/10 × 1/247/10 × 1/2 = 47/2047/20 = 2 7/20Therefore, 4 7/10 × 1/2 = 2 7/20.
Answer:
47/20
Step-by-step explanation:
Converting 4 7/10 into improper fraction:
((4*10)+7)/10
= (40+7)/10
= 47/10
Multiply 47/10 by 1/2
= 47/(10*2)
= 47/20
Hope this helps and have a great time ahead at Brainly! :D
Let f(t) represent the temperature of a turkey baking in an oven as a function of time (t) in the oven (in minutes). This means time is the independent variable and temperature of the turkey f(t) is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant.
1. Describe the rate of change pattern over each interval of the graph listed below:
a) 0 < t < 345
b) 345 < t < 360
c) t > 360
2. Explain what is happening in each interval of your graph in terms of the turkey and its temperature, using complete sentences.
3. Let's say that the turkey sat on the counter for an additional hour (beyond the 390 minutes) and its temperature cooled to 80 degrees. Write that value in function notation.
SOMEONE PLEASE HELP!!
I need someone to explain how to simplify radicals.
The picture is attached
Answer:
35√2
Step-by-step explanation:
[tex]5\sqrt{98}[/tex] = [tex]5\sqrt{2*49}[/tex] = 5 × √2 × √49 = 5 × 7 × √2 = 35√2
Joe overheard his father complaining about having to pay $300 in interest in just one year. The simple annual interest rate was 16%. How much money did Joe’s father borrow?
Answer:
$1,875
Step-by-step explanation:
Interest = Principal x Rate x Time
Principal = amount of money borrowed
I = $300
r = 16% or .16
t = 1 (year)
300 = .16P
300/.16 = P
P = $1,875
Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?
refection and translation i think
hdjdjsjsj I hope I got it right
I'm not sure if its a dilation if its getting smaller not bigger
Replace ? with a whole number to make the statements true.a. 20 ÷ 4 = ? means ? × 4 = 20b. 2,725 ÷ 5 = ? means ? × 5 = 2,725c. ? ÷ 5 = 0
ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!
Answer: y = -5/3x + 4 and 5x + 2y = 4
Step-by-step explanation:
1. Firstly, we should substract 5x on both sides of the equation.
3y = -5x + 12
Then we divide by 3 on both sides of the equation. This would give us our answer.
y = -5/3x + 4
2. The answer is 5x + 2y = 4.
The slope of parallel lines should be the same. If we want to isolate y of the above the equation we should first substract 5x on both sides.
2y = -5x + 4
Then we should divide 2 on both sides of the equation.
y = -5/2x + 4
The equation above and y = -5/2x -7 have the same slope. Therefore, they are parallel.
Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?
Answer:
A Translation 4 units leftwards followed by a reflection across the x-axis.
Step-by-step explanation:
he transformations are:
Translation 4 units leftwards.
Reflection across the x-axis.
You can deduct this transformations by using one vertex. Notice that E(4, -9) and E'(0, 9). You can observe that the transformed coordinate has the inverse y-coordinate, which indicates a x axis reflection. Also, it was shifted 4 units leftwards only.
Identify which of the following sets of numbers each number belongs
to: rational numbers, integers, whole numbers.
9. -1 1/2
10. 7
11. -6
12. 4.25
an integer is the number that is not a fraction,
irrational number can be positive or negative with fractions or decimal points
a whole number cannot be negative or fractional or decimal
Multiply. (−3 1/8)⋅(1 3/5) What is the product? Enter your answer in the box.
Answer:
-5
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
To gather data on a 1200-acre pine forest in Louisiana, the U.S. Forest Service laid a grid of 1410 equally spaced circular plots over a map of the forest. A ground survey visited a sample of 10% of the plots. 13 a. Explain how you would use a random number generator to choose an SRS of 141 plots. Your description should be clear enough for a classmate to carry out your plan. b. Use your method from part (a) to choose the first 3 plots.
To make a random selection using a random number generator, we could make use of a computer programming to execute the task by following the steps below ;
Total number of plots = 141010% of total = 0.1 × 1410 = 141 plotsA.) Using python 3 to generate a random sample of 141 plots :
import random
#import the random module
random_sample = random.sample(range(1410), 141)
#using the sample method, randomly select a sample of 141 plots from the total number of plots, 1410
print(random_sample)
#display the randiy selected plots which is 10% of the total
B.) Choosing the first three plots using the method described in (A)
first_3 = random_sample[:3]
#from the 141 random samples, use list slicing to select the first three plots from the sample
print('\n The first 3 plots are : ' , first_3)
#display the first three sample plots selected.
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The price of a sweater was reduced from $25 to &19. By what percentage was the sweater reduced by?
Answer:
24%
Step-by-step explanation:
Difference in price of sweater
=$25-$19
=$6
6/25×100%=24%
I just started this chapter someone help me with these 2 questions
write the equation for the slope intercept form
Answer:
y=2/3x-1
Step-by-step explanation:
Ruben and his friends are celebrating Ruben's birthday at Adventure Zone, which has trampolines, mini golf, laser tag, and an arcade. Ruben's mom gives 18 arcade tokens to each kid at the party. In all, she gives out 144 tokens.
Use an equation to find the number of kids at Ruben's party.
The number of kids that are at Ruben's party will be 8 kids.
Let the number of kids at the party be represented by x.Number of arcades token given to each person = 18Total number of arcade tokens given out = 144Based on the information given, the equation to solve the question will be:
18 × x = 144
18x = 144
x = 144/18
x = 8
Therefore, there are 8 kids at the party.
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Doug entered a canoe race. He rowed 3 ½ miles in ½ hour. What is his average speed in miles per hour
Answer:
7 miles per hour
Step-by-step explanation:
3.5 times 2.
the value of x - y is
Answer:
Yes, in a Cartesian Coordinate system each point is given by two numbers. If the question is "where" the function has a max or min value, that's "x", the first number in pair. If the question is "what" is that max or min function value, thats "y", the second number in the pair
in a scholl there are 720 boys and 640 girls find the % of girls
Answer:
47%
Step-by-step explanation:
720+640=
1360. 640/1360 = 47
The first term in an arithmetic sequences is 8. The fourth term in the sequences is -4. The eighth term in the sequences is -20. Write the explicit form that would be used to find the nth term in the sequence. Show the steps you took to write the simplified explicit form.
HURRY PLEASE!!!!!!
Answer:
do you need that or something else
If the original quantity is 10 and the new quantity is 14, what is the percent increase?
Answer:
40% increase
Step-by-step explanation:
10 is you 100%
if it increased to 14, then that means your 100% = 10 increased +4 which is the 40%
Ed is 7 years older than Ted. Ed's age is also 3/2 times Ted's age. How old areTed and Ed.
What is the sum of 1 + 1?
1 + 1 = 2
Have a beautiful and joyful day ahead.
Answer:
1+1= 2
have a nice day stay safe <3
write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi
Show your work and leave your answer it terms of pi
Answer:
72π m³Step-by-step explanation:
Cylinder volume:
V = πr²hSubstitute the values of r and h:
V = π(3²)(8) = 72π m³________
[tex] \: [/tex]
V = [tex]\pi[/tex] × r² × h
V = [tex]\pi[/tex] × 3² × 8
V = [tex]\pi[/tex] × 9 × 8
V = 72[tex]\pi[/tex]m³✔
Compare the graph of Car A to the table of Car B to determine which car is traveling at the greates
speed and by how much. Show work.
Answer:
Car a is moving at 15 miles per hour
Its slope is 15/1
Its equation is y = 15x
Car b is moving at 7.5 miles per hour
Its slope is 7.5
Its equation is y = 7.5x
Car a is moving twice as fast as car b
Step-by-step explanation:
But here's how you solve
Chose 2 points and find the change in y and change in x, then divide in the same order.
Point 1: (1, 15)
Point 2: (2, 30)
Change in y = 15
Change in x = 1
y = miles
x = hours
15 miles/1 hour
You can also do this
Pick a point and just divide it's y by its x. For example:
(4, 60)
60 miles/4 hours
15 miles per hour
Now that we have the slope, we can get the equation for the graph:
y = 15x + 0
or just y = 15x, because there is no y-intercept
Now let's solve for car b:
Chose a point:
(3, 22.5)
Divide its y by its x
22.5/3
7.5
Car b is moving at 7.5 miles per hour
Now that we have the slope, we can get the equation for the graph:
y = 7.5x + 0
or just y = 7.5x, because there is no y-intercept
Compare the speeds
Car a: 15 mph
Car b 7.5 mph
15 > 7.5
So, Car a > Car b
15/7.5 = 2
So Car a moves twice as fast as Car b
Help Please!!!!!!!!
Answer:
40
Step-by-step explanation:
both angles are corresponding angles which means both are equal
i.e
4x-50 = 2x+30
4x-2x = 50+30
2x = 80
x = 80/2
therefore x = 40
keep smiling
what is 4 divided by 2 3/4. for 6th grade math
Answer:
3 1/3
Step-by-step explanation:
4/(2 3/4)
4/(6/4)
4÷6/4
4*4/6
20/6
3 2/6 =3 1/3
The following table shows how many pizzas Dave’s pizzeria has sold each hour.
Write the slope intercept equation, and find the constant rate of change and the vertical intercept of the line. Explain how they are related to this situation.
Answer:
x=3.3333333333333333333333333333333