Answer:
Step-by-step explanation:
Glacier National park has the area in year 2007 = 142 acres
It's shrinking at a rate = 4.4% per year
a). Since, shrink in the size of the glacier is an exponential process,
Therefore, formula for the size of the glacier in 'n' years,
A = 142(1 - 0.044)ⁿ
A = 142(0.956)ⁿ
b). Difference between year 2007 and 2020 = 13 years
By substituting n = 13 years in the formula,
A = 142(0.956)¹³
= 79.11 acres
Therefore, size of the glacier in year 2020 = 79.11 acres
c). Difference between year 2007 and 2010 = 3 years
By substituting n = 3 years in the formula,
A = 142(0.956)³
A = 124.07 acres
Loss of the ice from the glacier = 142 - 124.07
= 17.93 acres
Therefore, loss of the ice from the glacier in 3 years = 17.93 acres
Diana buys 7 cups of orange juice. Each cup of orange juice cost $0.81. How much does diana spend?
help pls
Answer: $5.67
Step-by-step explanation: Multiply
Answer:
$5.67
Step-by-step explanation:
Since Diana bought 7 cups of orange juice and each cost $0.81, you just need to multiply $0.81 by 7.
Find each missing number
Z
+ 179
496
Answer:
317
Step-by-step explanation:
496 - 179 = 317. Z = 317.
Sand falls onto a conical pile at the rate of 10 cubic feet per minute. The radius of the pile is always equal to one half it altitude. How fast is the altitude of the pile increasing when the pile is 5 feet high?
Answer:
Either one of these.
Step-by-step explanation:
volumepile=1/3 (PI r^2)h
but r=h/2, so
volume=1/12 PI h^3
dv/dt=10 ft^3/min
but dv/dt=1/12 PI 3h^2 dh/dt
solve for dh/dt
This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula
_______________________________________________
given: r = h/2
V = (1/3)π r^2 h
= (1/3)π (h/2)^2 (h)
= (1/12) π h^3
dV/dt = (1/4)π h^2 dh/dt
for the given data ...
10 = (1/4)π(25)dh/dt
dh/dt = 10(4)/((25π) = 1.6/π feet/min
Which list shows the numbers ordered in ascending order
C
Step-by-step explanation:
C is the only one that goes greater and greater
C. [tex]-2\frac{3}{8}[/tex] < -8/6 < -0.85 < 0.8 < 4/3 < 140% in ascending order.
What is ascending and descending order ?In ascending order we write numbers from smaller to greater and in descending order we write numbers from greater to smaller.
According to the given question we have list of fractions decimals and percentages and we have to write them in ascending order.
given [tex]-2\frac{2}{8}[/tex], - 0.85, 4/3, 140%, -8/6, 0.8.
Now let convert all these into one form we choose to convert them in percentage.
[tex]-2\frac{3}{8}[/tex] is -19/8 = -2.375 = -237.5 %.
-0.85 = - 85%.
4/3 = 133%.
140% = 140%
-8/6 = -133%
0.8 = 80 %.
∴ [tex]-2\frac{3}{8}[/tex] < -8/6 < -0.85 < 0.8 < 4/3 < 140%.
learn more about ascending and descending order here :
https://brainly.com/question/320500
#SPJ2
A gray whale's heart beats 64 times in 8 minutes. What is the whale's heart rate in beats per minute? 8 heartbeats per minute 56 heartbeats per minute 72 heartbeats per minute 512 heartbeats per minute
Answer:
8 heart beats per minute
Step-by-step explanation:
64/8
Please help this is for another person who doesn’t know the answer :)
Answer:
The answer is,
[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]
8
The following three shapes are based only on squares, semicircles, and quarter circles.
Find the perimeter and the area of each shaded part. Give your answer as a completely
simplified exact value in terms of 7 (no approximations).
b
A
D
1
1
B
9 cm
You probably have a mistake in the highlighted field(s).
FInD THE PERIMETER
Answer:
18+9pi
Step-by-step explanation:
Area of square minus area of the circle
Answer:
WHAT WAS THE ANSWER TO 9A PLEASEEEEE
Step-by-step explanation:
The number of DVDs sold at a store in a month was 925 and the number of DVDs sold decreased by 12 per month. The number of Blu-ray discs sold in the same store in the same month was 507 and the number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t represent the time in months.
Write a system of equations by filling in the blanks:
d= _ t+ _
d= _ t+ _
Solve the system of equations using the substitution method. Complete the sentence to describe the solution.
There will be _ DVDs and Blu-Ray discs sold per month in _ months
Answer:
See belowStep-by-step explanation:
DVDs
d = 925 - 12tBlu-rays
d = 507 + 26tSolve the system:
925 - 12t = 507 + 26t26t + 12t = 925 - 50738t = 418t = 418/38t = 11Number of disks sold in 11 months:
925 - 12*38 = 469There will be 469 DVDs and Blu-Ray discs sold per month in 11 months
Change 41 out of 50 to a percentage.
Step-by-step explanation:
50x=41*100
50x=4100
x=4100/50
x=82%
Pls help extra points and mark brainlist
Answer:
Freetime!
Step-by-step explanation:
Leisure means happy place or a free space or in this case "Freetime"!
PRE CALC HELP 50 PTS
Answer:
[tex] \sec( \frac{x}{3} ) + 4 > 2 - \sec( \frac{x}{3} ) \\ 2 \sec( \frac{x}{3} ) > - 2 \\ \sec( \frac{x}{3} ) > - 1 \\ \boxed{y = \sec( \frac{x}{3} )} \\ \boxed{y = - 1}[/tex]
B) is the right answer.
Answer:
B
Step-by-step explanation:
We want to solve the inequality:
[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)+4>2-\sec\Big(\frac{x}{3}\Big )[/tex]
First, we can add sec(x/3) to both sides:
[tex]\displaystyle2 \sec\Big(\frac{x}{3}\Big)+4>2[/tex]
Subtracting 4 from both sides yields:
[tex]\displaystyle 2\sec\Big(\frac{x}{3}\Big)>-2[/tex]
And dividing both sides by 2 yields:
[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)>-1[/tex]
Therefore, we can graph the following two functions:
[tex]\displaystyle y=\sec\Big(\frac{x}{3}\Big)\text{ and } y=-1[/tex]
Where our solutions will be all the intervals where y = sec(x/3) is above the line y = -1.
Question 13 please I really need help and if you can show your work thank you
Answer:
20.34 % of annual net income is spend on food.
Step-by-step explanation:
Amount spend on food = $7104
Annual net income = $ 34,910
We need to find what percent of their annual net income is the amount spend on food.
The Formula used will be:
[tex]Percentage=\frac{Amount\:spend\:on\:food}{Annual\:net\:income}\times 100[/tex]
Putting values of amount spend on food and Annual net income and finding percentage
[tex]Percentage=\frac{7104}{34910}\times 100\\Percentage=0.2034 \times 100\\Percentage=20.34\%[/tex]
So, 20.34 % of annual net income is spend on food.
Which congruent theorem can be used to prove..
Answer:
Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent? Two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.
GIVE THE CORRECT ANSWER AND I WILL THANK, RATE 5 STARS, AND GIVE BRAINLIEST!!!
System Of Equations:
Solve by substitution:
y = x + 3
7x - y = 3
Group of answer choices
(1 , 4)
(-1 , -4)
(-1 , 4)
(1 , -4)
Answer:
(1, 4)
Step-by-step explanation:
subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3
get rid of the (), which you will get 7x-x-3=3
combine like terms and get 6x-3=3
move 3 to the other side and divide both sides by 6 and get x=1
use the first equation y=x+3 and subsitude 1 for x and get y=1+3
y=4
3 2/3 divide 1 2/7 in simplest form
Answer:
2 23/27
Step-by-step explanation:
3 2/3 / 1 2/7
= 11/3 / 1 2/7
= 11/3 / 9/7
= 77/27
= 2 23/27
Hope it helped!
what the other person said
Answer:
2 23/27
Step-by-step explanation:
3 2/3 / 1 2/7
= 11/3 / 1 2/7
= 11/3 / 9/7
= 77/27
= 2 23/27
X+8=0 in standard form please show work
Step-by-step explanation:
X + 8 = 0
- 8 -8
X = -8
Answer: -8
4x - 3y = 11
2x - 5y = 25
solve using elimination and substitution method
Answer:
hope it helps forget about my writing
Answer:
(-1.43, -5.57)
Step-by-step explanation:
Elimination:
First we need to line up x or y to be the opposite so they can be eliminated:
4x - 3y = 11
-2( 2x - 5y = 25) which is
-4x + 10y = -50
Next step we cancel out the x but adding both equations which would isolate the y:
7y = -39
y = -5.57
After finding y, plug it back into the equation to find x:
4x - 3(-5.57) = 11
4x + 16.71 = 11
4x = -5.71
x = -1.43
To ensure it is correct, we can plug it back into both equations:
4(-1.43) - 3(-5.57) = 11
2(-1.43) - 5(-5.57) = 25
need help with this
Answer:
There are 3 parts yellow and when mixed with the blue, we end up 5 parts. So its 3 to 5
Step-by-step explanation:
Answer:
3:5
Step-by-step explanation:
I think that it's 3:5 because
Mixed paint:3+2=5
Yellow:3
yellow : mixed paint
3:5
I will give brainiest to whoever answers correctly !!
Answer:
The graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.
Step-by-step explanation:
This can be determined using the formula for calculating the future value (FV) formula as follows:
FV = PV * (1 + r)^n ................................. (1)
Where;
FV = Future value or the amount the graduate will have at end of 36 months = ?
PV = Present value or the total amount invested = Cash gifts from friends and relatives + Amount of 3 scholarships he received = $900 + $250 + $300 + $1,400 = $2,850
r = daily interest rate = 1% / 360 = 0.01 / 360 = 0.0000277777777777778
n = number of days = 36 months * 360 days = 12,960
Substituting the values into equation (1), we have:
FV = $2,850 * (1 + 0.0000277777777777778)^12,960
FV = $2,850 * 1.43332224806396
FV = $4,084.96840698229
Approximating to the nearest cent as required, we have:
FV = $4,084.97
Therefore, the graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.
a greater number than -8
Simplify -2(8a + 6) + 10a
Answer:
The correct answer is,
[tex] - 6a - 12[/tex]
Answer:
-6(a+2)
Step-by-step explanation:
-2(8a + 6) + 10a
-16a-12+10a
a banker pays 564 for a bill of 600 due at 6 months hence. What is the rate percent per annum the bank has deducted from the bill ?
Answer:
Rs.18
Explanation:
[tex]T= 6 months = 1/2 year[/tex]
[tex]R=6[/tex]%
[tex]TD=\frac{BD(100)}{100+TR} = \frac{18.54(100)}{100+((\frac{1}{2}) 6)}=Rs.18[/tex]
Solve for x
5x + 2 = 17
Answer:
r
Step-by-step explanation:
r
Answer:
Step-by-step explanation:
Here you go mate
Step 1
5x+2=17 Equation/Question
Step 2
5x+2=17 Simplify
5x+2=17
Step 3
5x+2=17 Subtract 2
5x=15
Step 4
5x=15 Divide
answer
x=3
Hope this helps
Admission to the the zoo is $15 and each individual ticket costs $3.50. What of the following expressions could represent the scenario?
15x + 3.5
15 +3.5x
18.50x
3.5x - 15
Answer:
b.
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
Middle School A and Middle School B both planned trips to Washington D.C. using the
same rental company. Middle School A rented 6 vans and 6 buses for its 186 students.
Middle School B rented 2 vans and 4 buses to transport its 110 students. How many
students do the rental vans seat? How many students do the rental buses seat?
Answer:
each van can transport 15 students
Step-by-step explanation:
186 divied by 2 and you get 93 then you divied that by 6 and you get 15.5 you cant have .5 sutdents on a van so you round down and get 15 students.
Ashley is buying her husband new video games for his PS4. The new Call of Duty and Madden Football is a total of $98.35. How much does each game cost if they cost the same amount?
Answer: $49.18
Step-by-step explanation:
$98.35 divided by 2 equals 49.175 if rounded it is $49.18
Please help me I will mark you BRAINLIST
Answer:
probably 300
Step-by-step explanation:
I have no idea I'm in 6 grade sorry
Two pools are leaking After 15 minutes pool A has leaked 2/3 gallon After 20 minutes pool B has 3/4 gallon Which pool is leaking faster
Pls fast
hope it will help you...........
Need help on this one, can someone please answer this?
Answer:
quadrant 3
Step-by-step explanation:
John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What is the sale price?
A.$22.50
B.$65.00
C.$67.50
D.$112.50
Answer:
A
Step-by-step explanation:
Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100
divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.
then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.