Answer:
Initial amount of the material is 67 kgHal-life is 83 hoursThe required equation is:
m(x) = 67 * [tex](1/2)^{x/83}[/tex], where m- remaining amount of the radioactive material, x - number of hoursAfter 5 hours the material remains:
m(5) = 67 * [tex](1/2)^{5/83}[/tex] = 64.260 (rounded)Solve 56 > -7x
Thank you!
Answer:
-8 > x
Step-by-step explanation:
56 divided by -7 = -8
-8 > x
make sure to double check before turning it in!
what is 100 divide by 1,000?
Answer:
0.1
Step-by-step explanation:
Rewrite 19/ 5 as a mixed number.
Answer:
3/4
Step-by-step explanation:
Please Mark me Brainiest! ~Kira
the area of square garden is 625 m^2 find its length
Answer:
25
Step-by-step explanation:
length for square is square root it's area
[tex] = \sqrt{625} \\ = 25[/tex]
How to prove this using trig identities?
(Tan B + Cot B)^2 = sec^2B + csc^2B
Thanks and please shows steps. I will vote best answer and helpful and do more.
Step-by-step explanation:
tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)
= (sin2B + cos2B)/[(cosB)(sinB)]
= 1/[(cosB)(sinB)]
= (1/cosB)(1/sinB)
= (secB)(cscB)
help me pls i need you guys help
Write an equation in slope-intercept form that would have infinitely many solutions in a system of
equations with 6x - 2y = 8.
help!!!!!
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
x = 5.
y = -2
Step-by-step explanation:
y = x - 7
2x + y = 8
substitute the first equation into the second
2x + (x -7) = 8
2x + x - 7 = 8
3x - 7 = 8
3x = 8 + 7
3x/3 = 15/3
x = 5.
substitute 5 in the second equation
y = 5 - 7
y = -2
Franklin needs 1.25 meters of ribbon to wrap each gift. He has a spool of ribbon that contains 25 feet of ribbon. One meter is equivalent to approximately 3 feet. How many gifts of the same dimension can he wrap using the spool of ribbon?
Answer:
6
Step-by-step explanation:
convert 1.25 meters to feet
1 meter = 3 feet
1.25 meters = 1.25 x 3 = 3.75 feet
Number of gifts he can warp = 25 feet / 3.75 = 6.6
Your brother is driving 40 km/hour when he slams on his brakes to avoid
hitting a dog crossing the road. if it takes him 5 seconds to stop, what is his
rate of acceleration?
A. 8 km/hr/sec
B. 40 km/hr/sec
C. 45 km/hr/sec
D.200 km/hr/sec
Answer:
8
Step-by-step explanation:
40 divided by 5 is 8 :D
Answer: A. 8 km/hr/sec
Step-by-step explanation:
You divide 40 by 5
40/5
which you'll get
8
Connor invested $8,000 in an account paying an interest rate of 82% compounded
monthly. Henry invested $8,000 in an account paying an interest rate of 8 %
compounded daily. After 5 years, how much more money would Henry have in his
account than Connor, to the nearest dollar?
Answer:
Connor would have $83.37 more than Henry.
Step-by-step explanation:
Connor:
Initial investment= $8,000
Interest rate= 8.2% = 0.082/12= 0.00683
Number of periods= 12*5= 60 months
Henry:
Initial investment= $8,000
Interest rate= 8% = 0.08/365= 0.00022
Number of periods= 365*5= 1,825 days
To calculate the future value, we need to use the following formula on each investment:
FV= PV*(1+i)^n
Connor:
FV= 8,000*(1.00683^60)
FV= $12,035.35
Henry:
FV= 8,000*(1.00022^1,825)
FV= $11,951.98
Difference= 12,035.35 - 11,951.98= $83.37
Connor would have $83.37 more than Henry.
what is the perimeter of figure B ?
Answer:
35 for perimeter of b
122.5 for perimeter of a
Step-by-step explanation:
To find the perimeter, you add all of the values of the outside of the shape together. Since 12+9+9+5 = 35, the answer is 35.
Okay, so what you have to do is set up a proportion for a to b. To do that, you have to have a fraction where a is the numerator and b is the denominator. 7/2 equals x/35. Then cross multiply
7*35 = 2x
x = 122.5 :)
Answer:
The perimeter is 35.
Step-by-step explanation:
To find perimeter, add all the sides together.
9 + 9 + 5 + 12 = 35
The perimeter is 35.
Please help!!! What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = x - 40
Step-by-step explanation:
Points on the graph: (0, -40) and (60,20)
Slope:
m=(y2-y1)/(x2-x1)
m=(20+40)/(60-0)
m=60/60
m = 1
Slope-Intercept
y - y1 = m(x - x1)
y + 40 = 1(x -0)
y + 40 = x
y = x - 40
Answer:
y=-x-40
Step-by-step explanation:Slope intercept form is y=mx+b
slope=rise/run
slope= -40/40 = -1
y-y1=m(x-x1)
y-(-40)= -1(x-0)
y+40=-x+0
y=-x+0-40
y=-x-40
hope that helps?
32 is what percent of 110? (round to the nearest percent)
Ramona is installing a kitchen counter that is 9 feet by 3 feet. The counter has a hole in it for a sink that is 2 feet by 3 feet. What is the area of the kitchen counter? Complete the equation to calculate the area.
Answer:
Therefore the area of the kitchen counter is 21 square feet
Step-by-step explanation:
Area of the sink = 2 x 3
= 6 square ft.
Area of the kitchen counter = 9 x 3 -(6)
=27 - 6
= 21 square ft.
The area of the kitchen counter is 21 square ft.
Answer:
Therefore the area of the kitchen counter is 21 square feet
Step-by-step explanation:
Area of the sink = 2 x 3
= 6 square ft.
Area of the kitchen counter = 9 x 3 -(6)
=27 - 6
= 21 square ft.
The area of the kitchen counter is 21 square ft.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
the answer is C.two parallel lines.
Samantha fills her car's gas tank. It now has 18 gallons of gas. She uses 1/2
of the gas when she drives to the beach. Then, she uses 3/4 of the
remaining gas when she drives to the mall. How many gallons of gas does
Samantha's car have left? *
Answer:
18 x 1/2 = 9
18 - 9 = 9
9 x 3/4 = 27/4
9 - 27/4 = 2 1/4 or 2.25 gallons
Gina is comparing the membership fees for two museums. The art museum charges a one-time fee of $7.25 plus $3.50 per month. - The science museum charges a one-time fee of $10.50 plus $4.50 per month. How much does she save after m months by joining the art museum instead of the science museum? (Hint: write the expressions for the art museum and the science museum FIRST and then find the difference)
Answer:
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Step-by-step explanation:
The art museum charges a one-time fee of $8.25 plus $2.25 per month.
So, the cost function for membership for x months in the art museum f(x) = 8.25 + 2.25x .............. (1)
Again, the science museum charges a one-time fee of $10.75 plus $3.5 per month.
Hence, the cost function for membership for x months in the science museum g(x) = 10.75 + 3.5x ........... (2)
So, from both the equations it is clear that for only joining the monthly charges are zero.
So, f(0) = 8.25 and g(0) = 10.75.
Therefore, Barrett will save by joining the art museum instead of the science museum by $(10.75 - 8.25) = $2.5. (Answer)
Step-by-step explanation:
How do you write 60.39% as a decimal?
Answer: 0.6039
Step-by-step explanation:
Answer:
60.39% = 0.6039
Step-by-step explanation:
To write it as a decimal we have to divide it by 100.
60.39% ÷ 100 = 0.6039
Can someone pleade help me on this question 8
Sugar Rounds Donut Shop offers 2 free donuts with every 20 purchased donuts. Sweet Delights Donut Shop offers 3 free donuts with every 30 purchased donuts. Which donut shop offers a greater ratio of free donuts to purchased donuts?
Answer:
there the same ratio because there both offering the same ratio of of there number
3x10=30 ratio : 10
2x10=20 ratio: 10
Step-by-step explanation:
Becky is working on a weekly budget. She earns $385 per week. Becky spends $200 per week on rent and utilities plus $57 on food. After paying for rent, utilities, and food, Becky deposits 3/4 of the amount left over into a savings account. She spends the rest on entertainment. How much money does she spend on entertainment?
Answer:
$32
Step-by-step explanation:
200 + 57 = 257.
385 - 257 = 128
128 x 3/4 = 96 (deposited)
128 - 96 = 32
Becky spends $32 on entertainment
two angles of a quadrilateral are 67 and 100. what is the sum of the other two angles
Answer:
93
Step-by-step explanation:
1533996.553x7+95%x63
Answer:
2823x34
Step-by-step explanation:
plz give brainluest
Answer:
the answer is 10738035.721
Find the area of the shaded region. Round to the nearest hundredth when necessary.
What is the function
X
- 1
0
1
2
3
у
-1
-0.5
0
0.5
1
The table represents
a linear function.
Write the function.
y=
Answer:
Step-by-step explanation:
x y Difference (d)
-1 -1 -
0 -0.5 -0.5 - (-1) = 0.5
1 0 0 - (-0.5) = 0.5
2 0.5 0.5 - 0 = 0.5
3 1 1 - 0.5 = 0.5
There is a common difference (d) = 0.5
Therefore, table represents a linear function.
Let the equation of the linear function is,
y = mx + b
Here, m = Slope and b = y-intercept
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Two points from the given table are (-1, -1) and (0, -0.5)
m = [tex]\frac{-0.5-(-1)}{0-(-1)}[/tex]
m = 0.5
Y-intercept of the line 'b' = -0.5 (Value of y at x = 0)
Therefore, equation of the line will be,
y = 0.5x - 0.5
Find inequalities with solutions that have this graph.
Please help! Slope intercept form
Answer:
3x + 5
Step-by-step explanation:
plug in (1,8) as x in y so it looks like this
8 = 3(1) + B then solve for B to get 5 then plug it in as y=3x+5
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Answer:
240 ounces
Step-by-step explanation:
y'know you could just look this up lol
Answer:
240 oz
Multiply pounds by 16
15 × 16 = 240
Please help me find the length of EC
Answer:
15
Step-by-step explanation:
BD=AC
E is the midpoint of both lines, so BE=CE