Answer:
50 kg
Step-by-step explanation:
Put the given numbers into the given formula and do the arithmetic.
q = q0(2^(-t/k))
q = (87 kg)(2^(-20/25)) = (87 kg)(0.574349)
q ≈ 50 kg
The amount remaining after 20 years is about 50 kg.
2.5 times 1,760 in steps.
Answer:
2.5 times 1760 is 4400
Step-by-step explanation:
math lol
Answer:
. We assume, that the number 1760 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 1760 is 100%, so we can write it down as 1760=100%.
4. We know, that x is 2.5% of the output value, so we can write it down as x=2.5%.
5. Now we have two simple equations:
1) 1760=100%
2) x=2.5%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
1760/x=100%/2.5%
6. Now we just have to solve the simple
equation, and we will get the solution we are looking for.
7. Solution for what is 2.5% of 1760
1760/x=100/2.5
(1760/x)*x=(100/2.5)*x - we multiply both sides of the equation by x
1760=40*x - we divide both sides of the equation by (40) to get x
1760/40=x
44=x
x=44
Use the four-step definition of the derivative to find f'(x) if f(x)= -3x^3 + 10.
After all tryouts are completed, the school will be hosting a party for all the new athletes. At the party, hot dogs and hamburgers will be provided to all athletes and their guests, if they choose to bring a guest. The ratio of hot dogs purchased to number of guests is 1:0.8. Determine how many hot dogs you would need if 150 people attend the party. Explain how you found your answer.
120 hotdogs would be served if 150 people attend the party.
RatioA ratio is the quantitative relationship between two value, showing how many times one number contains another.
The ratio of hot dogs purchased to number of guests is 1:0.8. For 150 people:
Number of hotdogs = 150 * 0.8/1 = 120 hotdogs
Therefore 120 hotdogs would be served if 150 people attend the party.
Find out more on Ratio at: https://brainly.com/question/2328454
PLEASE HELP ASAP!!!!( 50 POINTS)
Chef Alfredo invested $4800 at a simple interest rate of 5% and can now afford a $6,000 state-of-the-art pizza
oven. How many years ago did he make this investment? Show all your work and answer in a complete sentence.
15 is nine more than j
Answer:
here ya go.
Step-by-step explanation:
15=j+9
subtract 9 from both sides.
j= 6
Can you help with this problem?
Find the area.
Answer:
132 sq cm
Step-by-step explanation:
There is a rectangle on top of your shape and a trapezoid below.
Area of a rectangle:
A = length•width
A = 7•4
A = 28sq cm
Area of a trapezoid:
A= 1/2(b_1 + b_2)•h
A=1/2(19 + 7)•8
=1/2(26)•8
=13•8
=104 sq cm
Area of total:
A_rect + A_trapzd
=28 + 104
= 132 sq cm
3. Choose the single logarithmic expression that is equivalent to the one shown.
log; 4 - log2
log 2
O
log 4
O
log, 2
log, 3
Answer:
log, 2
Step-by-step explanation:
the answer is log, 2 or c
The solution of the single logarithmic expression that is equivalent to the one shown is,
⇒ log₃ 2
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ log₃4 - log₃2
Now, We can simplify as;
⇒ log₃4 - log₃2
⇒ log₃4/2
⇒ log₃ 2
Thus, The solution of the single logarithmic expression that is equivalent to the one shown is,
⇒ log₃ 2
Learn more about the mathematical expression visit:
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On Monday, Janelle earned $21 for 7 hours of babysitting. Getting paid the
same rate, she earned $48 for babysitting on Saturday. How many hours
did Janelle babysit on Saturday? *
Answer:
16
$21 ÷ 7 = 3
which means she get $3 each hour she babysit
$48 ÷ 3 =16
Step-by-step explanation:
hope it helps
pls mark me as brainliest I need it
The volume of the figure is 9ft 15ft 15ft 15ft please help fast PLEASE!
Step-by-step explanation:
Formulas.
Square: [tex]V = L \times W \times H[/tex]
Square Pyramid: [tex]V = \frac13b^2h[/tex]
b = base.
Let's work on the square first.
Substitute the Length, Width, and Height of the square into the formula:
[tex]V=15 \times15\times15[/tex]
Solve:
[tex]V=15^{3} =3,375[/tex]
Let's work on the square pyramid.
Substitute 225 into the formula, and 9 (height):
[tex]V=\frac{1}{3}(15)^2(9)[/tex]
Solve:
[tex]V=\frac{1}{3}225(9)[/tex]
[tex]V=\frac{1}{3}(2025)[/tex]
[tex]V=675[/tex]
Add each volume:
[tex]3,375+675=4,050 ft^{3}[/tex]
The total volume of the figure is [tex]4,050 ft^{3}[/tex].
this one too please help me learn math
Answer:
[tex]x=\frac{1}{2}[/tex]
Step-by-step explanation:
equation of a circle: [tex](x - h)^2+(y-k)^2=r^2[/tex]
where (h, k) = center and r = radius
From inspection, we can see that the center of the circle = (0, 0)
and the radius = 1
[tex]\implies (x - 0)^2+(y-0)^2=1^2[/tex]
[tex]\implies x^2+y^2=1[/tex]
Substitute [tex]y=\frac{\sqrt{3}}{2}[/tex] into [tex]x^2+y^2=1[/tex] and solve for [tex]x[/tex]:
[tex]\implies x^2+(\frac{\sqrt{3}}{2})^2=1[/tex]
[tex]\implies x^2+\frac{3}{4}=1[/tex]
[tex]\implies x^2=\frac{1}{4}[/tex]
[tex]\implies x=\pm \sqrt{\frac{1}{4}}[/tex]
[tex]\implies x=\pm\frac{1}{2}[/tex]
As point P is in quadrant 1, [tex]x[/tex] is negative, so [tex]x=\frac{1}{2}[/tex]
help I WILL GIVE Brainiest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the solution to the system of equations?
-1/2x+1/2y=-1
x-y=2
a. There is no solution.
b. There are infinitely many solutions.
c. There is only one solution, (3, 1).
d. There is only one solution, (–6, –8).
Answer:
b. infinite solutions
Step-by-step explanation:
[tex]-\frac{1}{2}x+\frac{1}{2}y=-1\\\\\textsf{subtract} \ -\frac{1}{2}y \ \textsf{from both sides:}\\\\\implies -\frac{1}{2}x=-1-\frac{1}{2}y\\\\\textsf{mulitply both sides by -2:}\\\\\implies x=2+y\\\\\textsf{subtract} \ y \ \textsf{from both sides:} \ x-y=2[/tex]
Therefore, the graphs are the same.
If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Answer:
There's one solution (2,0)
Hope this helps!
Lin uses an app to graph the charge on her phone.
When did she start using her phone?
When did she start charging her phone?
While she was using her phone, at what rate was Lin’s phone battery dying?
Answer:
See belowStep-by-step explanation:
Use the graph to answer the following questions:
When did she start using her phone?
At 2 afternoonWhen did she start charging her phone?
At 8 afternoonWhile she was using her phone, at what rate was Lin’s phone battery dying?
From 100% to 40% between 2PM and 4 PM:
(100 - 40)/(4 - 2) = 60/2 = 30% per hourAnswer:
she start using her phone at 2 hours after noonshe start charging her phone at 8 hours after noon.rate when Lin’s phone battery dying: [tex]\frac{40-100}{4-2}[/tex] : [tex]\frac{-60}{2}[/tex] : [tex]-30[/tex]%/hr{ observation from the graph given }
9. Which is the quadratic equation the
best fits the scatterplot?
A. f(x) = x² – 8x + 22
B. f(x)=-X2 – 8x-10
C. f(x)=-x? + 8x - 32
D. f(x)=-x? + 8x-10
Answer:
c
Step-by-step explanation:
can you please solve this question please
Answer:
false
Step-by-step explanation:
x=1
4+24= 24
28=24
flase
A coordinate plane with a line graphed passing through (negative 2.5, negative 5) and (2.5, 0).
Which input was substituted into the function f(x) = x to create the given graph?
f(x + 2.5)
f(x – 2.5)
f f (StartFraction 5 Over 2 EndFraction x)
f f (StartFraction 2 Over 5 EndFraction x)
Answer:
um i dont understand sorry
Answer:
B
Step-by-step explanation
How many is x - 87 = 13 just answer pls
Answer:
100
Step-by-step explanation:
I hope this helps you
2. If final price of an article is Rs.2000 and the discount is 50% then the marked price of the article is ______.
(a) Rs.2050 (b) Rs.4200 (c) Rs.4000 (d) Rs.2400
Layla is baking a Double Chocolate Chocolate Chip cake. For this recipe, she will need one bag of flour and a number of bags of chocolate chips. At the grocery store, she sees that a bag of flour costs $3.59 and each bag of chocolate chips, c, costs $2.75. Write an algebraic expression to represent the total amount she will spend at the store.
Answer:
2.75c +3.59
Step-by-step explanation:
She only needs one bag of flour so it is a constant 3.59. She needs multiple bags of chocolate chips which is unknown so that will be c times the 2.75 for each bag
The wire supporting the tower makes a 25° angle of elevation with the ground. If the wire is attached to the ground 50 feet from the base of the tower, how tall is the tower
Check the picture below.
Make sure your calculator is in Degree mode.
In rectangle KLMN, KM = 9x+26 and LN = 84.5. Find the value of x.
Answer:
x = 6.5
Step-by-step explanation:
square is rectangle
9x+26 = 84.5
84.5 - 26 = 58.5
9x = 58.5
x = 58.5 divided by 9
x = 6.5
3
Suppose that a very la: Enter your search term
cameras and that of them are defective. A sample of 2 cameras is
8
selected at random. Define the random variable X as the number of defective cameras in the sample.
a. Write the probability distribution for X. Round to two decimal places.
X
P(X)
b. What is the expected value of X? Round to two decimal places.
Preview
Answer:
you were present when a senor student bullied a junior one. describe what happened to the teacher on duty
A -Domain: all numbers from 0 to 85. Range: all numbers from 0 to 14
B -Domain: whole numbers only from 0 to 14. Range: whole numbers only from 0 to 85.
C -Domain: all numbers from 0 to 14. Range: whole numbers only from 0 to 85.
Step-by-step explanation:
Notes:
The domain represents all x-values.
The range represents all y-values.
Domain: Whole numbers to represent the graph.
Range: Whole numbers to represent points.
A and C are incorrect.
A has the incorrect domain and range.
C represents all whole numbers and all real numbers.
B is correct.
Why?
B represents the whole numbers for where the line has been for x (0 - 14).
B represents the whole numbers for where the lines have been at for y (0 - 85)
B represents that the graph has ended.
Ann wants to set up chairs in rows of 8. If she sets 14 rows, how many seats will she have?
Answer:
112
Step-by-step explanation:
8×14 if each row has 8 chairs, and there's 14 rows that means 8×14 which equals 112 :)
Answer:
14 x 8=112
8 chairs are row multiply by the of rows
Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y=-7x2 + 26x + 6 and
y=-6x2 + 25x + 4 where y represents the height in meters and x represents the time in seconds after the launch. What is the time in seconds that the balloons
collided at the highest point?
O 1.75 seconds
O 20 seconds
O2 25 seconds
O 2.5 seconds
The time in seconds that the balloons collided at the highest point is; B: 2.0 seconds
What are quadratic equations?We are told that the water balloons were modeled by the quadratic functions:
y = -7x² + 26x + 6 and y = -6x² + 25x + 4
where;
y = the height in meters
x = the time in seconds after the launch
The time at which they will collide has to be at the same height.
Thus;
-7x² + 26x + 6 = -6x² + 25x + 4
Rearranging this gives;
x² - x - 2 = 0
Using online quadratic equation solver gives us x = 2 or -1. We will take the positive one as x = 2.0 seconds
Read more about quadratic equations at; https://brainly.com/question/1214333
Answer:
the answer is 2.0 seconds
Step-by-step explanation:
I just took the test:)
F(x)x^2-x+3 find f(x+2)
Answer: =7
Step-by-step explanation:
a
triangle
The measure of the First angle of
is 25 degree less than the measure of the
Second angle. The measure of the third angle
of the triangle is triple the measure of the
second angle.
Alright, lets say the measure of the 3rd angle (the smallest one) is x degree, then measure of the 1st angle will be (x + 25) degree, and 2nd one: 3x degree. The sum of all the angles in any triangles is 180 degrees.
(x + 25) + 3x + x = 180
5x + 25 = 180 ---> 5x = 180 - 25 ---> 5x = 155 ---> x = 155/5 ---> x = 31o (third angle)
31 + 25 = 56o (first angle)
3 × 31 = 93o (second angle)
56 + 93 + 31 = 180
The price of an item yesterday was $140 today the price is $343 what’s the percentage increase
Answer:
145% increase
Step-by-step explanation:
1) 343 - 140 = 203
2) 203/140 = 1.45
3) 1.45 x 100 = 145
Use the zero product property to find the solutions to the equation x2 -x-6 = 0.
X = -3 or x =-2
x X = -3 or x = 2
X =-2 or x = 3
X=2orx=3
Answer-----> C
Answer:
[tex]x = 3, -2[/tex]
Step-by-step explanation:
1: factor
[tex](x-3)(x+2)[/tex]
2: check
[tex]x^2 + 2x -3x -6[/tex]
3: solve for x
[tex]x = 3, -2[/tex]
Answer:
correct thank you
Step-by-step explanation:
?????????? WHAT ??????????
Answer:
Side of the square (a) = 3½ = 7/2 m
Area of the square
= a²
= (7/2)²
= 49/4
= 12.25 m²
Hope it helps ⚜
What is 48(2)+1=
Please answer
Answer:
97
Step-by-step explanation:
48 ( 2 )
= 48 x 2
= 96
48 ( 2 ) + 1
= 96 + 1
= 97
Answer:
97
Step-by-step explanation:
Given the following question:
[tex]48(2)+1[/tex]
In order to find the answer, we apply the rule where 48(2) = 48 × 2
[tex]48(2)+1[/tex]
[tex]48(2)=48\times2[/tex]
[tex]48\times2=96[/tex]
[tex]96+1[/tex]
[tex]96+1=97[/tex]
[tex]=97[/tex]
Hope this helps.