A sample of a radioactive isotope had an initial mass of 240 mg in the year 1995 and
decays exponentially over time. A measurement in the year 2000 found that the
sample's mass had decayed to 80 mg. What would be the expected mass of the
sample in the year 2006, to the nearest whole number?
Answer:
21
Step-by-step explanation:
-4 < y + 2 < -2 solve for the inequality
Answer:
-6<y<-4
Step-by-step explanation:
-4<y+2<-2
-4-2<y+2-2<-2-2
-6<y<-4
It takes 0.250.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.505.50 cups of sugar. How many batches of cookies can I make?
Answer:
22
Step-by-step explanation:
just 5.505.50/0.250.25=22
Give the exact value of the trigonometric function.
sec([tex]\frac{\pi }{2}[/tex])
A. 1
B. -1
C. 0
D. undefined
Please explain your answer, thank you! I'll give brainliest.
Answer:
D) undefined
Step-by-step explanation:
we would like to simplify the following
[tex] \displaystyle \sec \left( \frac{\pi}{2} \right) [/tex]
remember that, sec is the recipocal of cos
so,
[tex] \displaystyle \frac{1}{\cos \left( \frac{\pi}{2} \right) }[/tex]
by unit circle we acquire
[tex] \displaystyle \frac{1}{0}[/tex]
remember that, dividing by 0 is undefined
hence,
[tex] \displaystyle \sec \left( \frac{\pi}{2} \right) =\rm undefined [/tex]
What the volume?
Find the volume?
Answer:
5 x 4 = 20, 20 x 1/2 (basically just dividing by 2) = 10
10 x 3(width) = 30 inches is your answer.
Answer:
30 inches cubed
Using the triangle theorem solve this triangle.
Answer:
8 and 8√3
Step-by-step explanation:
Sin90 = b/8
1 x 8 =b
b=8
Tan 30 = 8/a
1/√3 = 8/a
a=8√3
Answer:
take 30 degree as reference angle
using sin rule
sin 30=p/h
1/2=8/h(do cross multiplication)
h*1=8*2
h=16
therefore hypotenuse (b)=16
now for base(a)
using cos rule
cos 30 =b/h
[tex]\sqrt{3}[/tex]/2=b/16(do cross multiplication)
b*2=16*[tex]\sqrt{3}[/tex]
b=16[tex]\sqrt{3}[/tex]/2
b=8[tex]\sqrt{3}[/tex]
b=13.85
b=13.9
Step-by-step explanation:
Help please....I’m desperate
Answer:
6
Step-by-step explanation:
8×4=32/2=16
2×5=10
16-10=6
get the area of the entire large triangle, then subtract the are of the rectangle
Answer:
44
Step-by-step explanation:
I got 44
Gl
A living room wall is 20 feet long, and 12 feet high. How much paint do you need to cover one wall?
Answer:
240
Step-by-step explanation:
hello! i'm assuming you need to find the area, so you would need to multiply 20 and 12. Hope this helped and have a nice day/night!
- Holl ^^
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The area of the living room wall = The area of the rectangle
The amount of paint needed to cover one wall is 240 square feet.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
Example:
The area of a rectangle with length 2cm and width 3cm is 6cm².
We have,
A living room wall is 20 feet long, and 12 feet high.
The living room can be considered a rectangle.
Length = 20 feet
Width = 12 feet
The area of the living room wall = Area of a rectangle
Now,
Area of the living room wall.
= 20 x 12
= 240 square feet
Thus,
The amount of paint needed to cover one wall is 240 square feet.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ5
please help with this..........
Rewrite the function, differentiate, and then simplify
y= 3/√x
Answer:
-3/ (2x√x)
Step-by-step explanation:
y=3/√x
y= 3x^(-½)
y'= -3/2 x^(-3/2)
= -3 / (2x√x)
What is the area of this triangle
Answer:
This is kinda hard to answer, but i'm going to say the answer might be 14 cm squared.
Step-by-step explanation:
I don't have much info, but I can say that the 7 cm side can be split into 2 lengths of 5 cm, and 2 cm.
Using this i can do 5 times 4 to get 20, but sense it's a triangle, the triangle would be half of a square making it 10 cm for the left part of the triangle.
Using the knowledge of the left triangle, I can do 2 times 4, which equals 8, half of 8 cm is 4 cm, and now i can do the equation of 10 cm plus 4 cm equals the answer of 14 cm squared.
For each set of angles or sides lengths, determine whether they could form a unique triangle, more than one triangle, or no triangle.
5 cm, 10 cm, 12 cm
8 ft, 12 ft, 20 ft
40°, 50°, 80°
28°, 51°, 101°
Answer: They can form one triangle.
Step-by-step explanation: Since all triangle must have 180 degrees, there’s only one set of degrees that sum up to 180.
28+51+101=180
I’m sorry, but the feet/centimeters part you have to solve on your own. Remember, this is a learning community! No stress :) I can guarantee you won’t get it wrong though.
There’s many different triangles, and I’m sure from these feet/centimeters you can make at least one of the listed: Scalene (none of the sides are equal), isosceles (only 2 sides are equal) or equilateral triangle (all sides are equal). There’s also right triangles (which are triangles with one right angle also known as 90 degrees) that are either isosceles or scalene or both! Try your best and remember, no stress :)
Anna enjoys dinner with her family at a restaurant in Washington, D.C. She leaves a 15% tip on the price of her meal. She also has to pay a 10% sales tax on her meal, which is calculated on the pre-tip amount. She spends a total of $27.50 for dinner, including tax and tip. What is the cost of her dinner without tax and tip? Show your work.
Answer:
$22
Step-by-step explanation:
tax and the tip increase the price paid for the meal
she paid 15 + 10 = 25% more than the price of her meal
p = original price
1.15 x p = 27,50
p = 27.50 / 1.15 = 22
19.05 divided by N = 12.7
Answer:
1.5
Step-by-step explanation:
19.05 divided by 12.7 = 1.5
Answer:
1.5
Step-by-step explanation:
19.05 divided by 12.7 = 1.5
Which table represents the statement “A car is traveling at a rate of 60 miles per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 30, 10. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60,61, 62. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 65, 70. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled miles with entries 60, 120, 180. HURRY LIKE HURRY
Answer:
ITS D
Step-by-step explanation:
If ur doing the exam like me i figured it out its 4
Thank for doing it love you
Answer:
1 is 1/9 2 is 1/9 3 is 5/9 4 is 8/9
Step-by-step explanation:
A(Ab AC AA) B(ba bb bc) C(ac bc cc)
Determine which gym's membership grows faster from Month 2 to Month 4 by calculating the average rates of change.
Answer:
Gym A is growing faster
Gym A gained 13 members between months 2 and 4
Gym B gained 10 members between months 2 and 4
Step-by-step explanation:
Gym A: (2,20) (4,46)
rate of change = (46-20)/(4-2) = 26/2 or 13
Gym B: (2,40) (4,60)
rate of change = (60-40)/(4-2) = 20/2 or 10
My father's age 5 years ago plus twice my age now gives 65. My age 5
years ago plus three times my father's age now gives 130. What is my
father's age?
Mis wants to earn 2,000 in her job at a bicycle store. She is paid $55 for each bicycle she tunes up. The minimum number of bicycles Mia needs to tune up to reach her goal of $2,500 is?
Answer:
Step-by-step explanation:
ok. you said 2000 and 2500 so I'll just solve for both.
this is very simple, mis/mia wants to earn 2000/2500 so let's solve
this can be done two ways. an equation way, or a dividing way. I personally like the dividing way.
2000 divided by 55= 36.36-- so she will have to tune up 37 bicycles
2500 divided by 55= 45.45-- so she will have to tune 46 bicycles. this is because 46 bicycles, times the amount of money == just a little over 2500 so she has reached her goal
23. A cooking teacher divides 4 pounds of flour evenly among all her students. Each student gets 1/4 pounds of flour. How many students are in the class? A. 1 B. 4 C. 16 D. 20
Please HELP ASAP
Please help!! I can't figure this out
Answer:
1 miles
Step-by-step explanation:
5 min = 0.5 miles
so 10 min = 1 miles
Mother has 1 kg of tomatoes.She gave 1/4 to aling nena and 3/8 to aling ana.How many kilograms of tomatoes was left to mother
Answer:
3/8 kg of tomatos
Step-by-step explanation:
1/4 * 2 = 2/8
2/8 + 3/8 = 5/8
1 - 5/8 = 3/8
The amount of tomatoes was left to the mother in kilograms will be 0.375 kilograms.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Mother has 1 kg of tomatoes.
She gave 1/4 to aling nena and 3/8 to aling ana.
Then the amount of tomatoes was left to the mother in kilograms will be
Let x be the amount of tomatoes.
x = 1 - 1 × 1/4 - 1 × 3/8
x = 1 - 0.25 - 0.375
x = 1 - 0.625
x = 0.375 kilograms
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
A function is described by the equation f(x) = 2x + 3. The replacement set for the independent variable is (2,4,6,8). Which set is the corresponding set for the dependent variable?
Write the values in the order shown. The curly braces indicate a set.
=================================================
Explanation:
The replacement set for the independent variable is {2,4,6,8}
This means we'll plug x = 2, x = 4, x = 6, and x = 8 into the function one at a time to find the corresponding y = f(x) value.
---------
Plug in x = 2 to find that,
f(x) = 2x+3
f(2) = 2*2+3 ... replace every x with 2
f(2) = 4+3
f(2) = 7
If the input is x = 2, then the output is y = 7. Therefore, the '2' in the domain corresponds to '7' in the range.
If you repeat those steps for x = 4, then you should find that f(4) = 11. Do the same thing for x = 6 and it should lead to y = 15. The last value in the range is y = 19 which corresponds to x = 8.
In short, the domain {2,4,6,8} corresponds to the range {7, 11, 15, 19}
Usually with sets, order doesn't matter. However, in this case, the order is important because we need to match the 2 with the 7, the 4 with the 11, etc.
Si a una persona le deben 7/9 de $450000 y sólo le cancelan 3/5 de esa deuda. ¿Cuánto dinero le quedan debiendo?
Answer:
$140,000
Step-by-step explanation:
Paso 1
Si a una persona le deben 7/9 de $ 450,000
La cantidad que se le debe a la persona se calcula como:
7/9 × $ 450,000
= $ 350,000
Paso 2
Solo se cancela 3/5 de esa deuda.
El monto de la deuda que se cancela se calcula como:
3/5 × $ 350,000
= $ 210,000
Paso 3
Por lo tanto, la cantidad de dinero que debe se calcula como:
$ 350,000 - $ 210,000
= $ 140,000
HELPPPPPPPPP ASAPPPPPPPPPPPPPPPPPPPPPP!
Answer:
Step-by-step explanation:
1.<ABC sides=AC and BC
<DEF sides=DE and DF
2.<KLM sides=KLM
Answer:
1 side BC and DF
Side AB and EF
Side DE and AC
Angle B=F
Angle A=E
Angle C=D
2 side PN and KL
Side LM and NO
Side PO and KM
Angle P=K
Angle N=L
Angle O=M
Step-by-step explanation:
In Triangle XYZ, measure of angle X = 49° , XY = 18°, and
YZ = 14°. Find the measure of angle Y.
Answer:
There are two choices for angle Y: [tex]Y \approx 54.987^{\circ}[/tex] for [tex]XZ \approx 15.193[/tex], [tex]Y \approx 27.008^{\circ}[/tex] for [tex]XZ \approx 8.424[/tex].
Step-by-step explanation:
There are mistakes in the statement, correct form is now described:
In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:
The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:
[tex]YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X[/tex] (1)
If we know that [tex]X = 49^{\circ}[/tex], [tex]XY = 18[/tex] and [tex]YZ = 14[/tex], then we have the following second order polynomial:
[tex]14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}[/tex]
[tex]XZ^{2}-23.618\cdot XZ +128 = 0[/tex] (2)
By the Quadratic Formula we have the following result:
[tex]XZ \approx 15.193\,\lor\,XZ \approx 8.424[/tex]
There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:
[tex]XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y[/tex]
[tex]\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}[/tex]
[tex]Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)[/tex]
1) [tex]XZ \approx 15.193[/tex]
[tex]Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right][/tex]
[tex]Y \approx 54.987^{\circ}[/tex]
2) [tex]XZ \approx 8.424[/tex]
[tex]Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right][/tex]
[tex]Y \approx 27.008^{\circ}[/tex]
There are two choices for angle Y: [tex]Y \approx 54.987^{\circ}[/tex] for [tex]XZ \approx 15.193[/tex], [tex]Y \approx 27.008^{\circ}[/tex] for [tex]XZ \approx 8.424[/tex].
(pleas help) Which statement describes the following expression? 6 x (3,117 + 724)
6 times the value of 3,117 minus 724
6 times the value of 3,117 times 724
6 times the value of 3,117 divided by 724
6 times the value of 3,117 plus 724
Answer:
6 times the value of 3,117 plus 724
Step-by-step explanation:
Hope that helps :)
A family went to a baseball game. They parked the car in a parking lot which charged $5. The cost
per ticket was $21. Write an equation for the total cost of going to the baseball game, where y is
the total cost and x is the total number of people,
Complete the equation: y=0
(Use integers or decimals for any numbers in the expression)
Enter your answer in the answer box
Bow progno
Answer:
y = 21x + 5
Step-by-step explanation:
What expression is equivalent to 32
Answer:
8x=32
Step-by-step explanation:
Answer:
16 is the equivalent to 32
z - 5 = 7
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
z = 12
Step-by-step explanation:
z - 5 = 7
z = 7 + 5
z = 12
hope that helped