Answer:
x=u+k
Step-by-step explanation:
Answer:
x = k+u
Step-by-step explanation:
u = x - k
+k +k
u + k = x
Hope this helps!
Calcium-41 is being used in studies testing the effectiveness of drugs for preventing osteoporosis. The half-life of calcium-41 is 100,000 years. If 20 grams of calcium-41 are present initially, how long would it take until only 2 grams
remains?
Answer:
332,193 years
Step-by-step explanation:
From the question above, we are to calculate the time in an half life question, hence, the formula is given as
t = In(Nt/No) ÷ -(In2/t½)
Where
t = time is takes for an substance to decay or reduce
Nt = Amount of sample after time = 2g
No = Initial amount of sample = 20g
t½ = Half life = 100,000 years
Hence,
t = In(2/20) ÷ (In 2/ 100,000)
t = 332192.80948874 years
Approximately = 332,193 years
5/9 x 9=?
simplify if possible and show the work
Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.
Answer: f(x) = -cos(x) + 4.584
Step-by-step explanation:
we know that f'(x) = sin(x)
if we integrate that, we get:
f(x) = -cos(x) + C
Where C is a constant of integration.
And we also want that:
f(2) = 5
with that relationship we can find the value of C.
f(2) = 5 = -cos(2) + C
(The calculation is done in radians)
5 = -(-0.416) + C
5 - 0.416 = C = 4.584
Then the function is:
f(x) = -cos(x) + 4.584
Which of the statements below is true for the following set of numbers?
42, 20, 36, 51, 60, 28
The range is 14 and the midrange is 35.
The
range is 60 and the midrange is 39.
The range is 40 and the midrange is 20.
The range and the midrange are equal.
Answer:
The range is 40 and the midrange is 20.
For the given number, the range is 40 and the midrange is 20. Option C is correct.
Given that,
42, 20, 36, 51, 60, 28,
Range, it is the set of values that come out to an outcome for a certain mathematical operation.
Here,
In the given series least number = 20
Largest number = 60
Range = 60 - 20 = 40
Midrange = 40 / 2 = 20
Thus, For the given number, the range is 40 and the midrange is 20. Option C is correct.
learn more about the range here:
https://brainly.com/question/12239390
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please help i’ll give brainliest
Answer: it's a (1,2)
Step-by-step explanation:
The price of mangoes in a grocery store is 3 for $5. How much will 5
mangoes cost? Round the answer to the nearest hundredth.
Answer:
8 and one thirds
Step-by-step explanation:
5 times 5 is equal to 25 and 25 divided by 3 is 8.3333
Answer:
$8.33
Step-by-step explanation:
So, to figure out how much one mango costs, I did $5 divided by 3, which gave me 1.66.
I then multiplied that by 5 to see how much 5 mangos cost, and I got $8.33
. The ratio of boys to girls in Ms. Cunningham's class is 2 to 3. There are 21 girls in the class. What is the total number of students in Ms. Cunningham's class?
Answer:
14
Step-by-step explanation:
21 times 2 = 42
42 divided by 3 = 14
Which of the following represent an exponential growth function?
Answer:
[tex]y=3^x[/tex]
Step-by-step explanation:
Exponential Growth Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential growth function is expressed as:
[tex]C(t)=C_o\cdot(1+r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the (positive) growth rate, expressed in decimal
Since r is positive, 1+r is greater than 1.
From the available options, only the last two of them correspond to exponential functions according to the definition above.
Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.
The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is
[tex]\mathbf{y=3^x}[/tex]
Solve 7x + 2 =4x+11 please i have 100 points to offer
Answer:
x=3
Step-by-step explanation:
7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side
7x-4x=11-2 ---> combine like terms
3x=9 ---> divide by 3
x=3
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
7x + 2 = 4x + 11
Step 2: Solve for x
Subtract 4x on both sides: 3x + 2 = 11Subtract 2 on both sides: 3x = 9Divide 3 on both sides: x = 3Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 7(3) + 2 = 4(3) + 11Multiply: 21 + 2 = 12 + 11Add: 23 = 23Here we see that 23 does indeed equal 23.
∴ x = 3 is the solution to the equation.
Need Help with this!
Answer: it's about 46.6% for the first card the second card depends on the first card if the first card is even the likelihood of the second being even is 40%, if the first card is odd then the likelihood of the second card being odd too be about 46,6%
The vertices of are F(2,1), G(4,1), and H(4,-1). The vertices of the image of the triangle after a dilation centered at (0,0) are F'(4,2), G'(8,2), and H'(8,-2). What is the scale factor of the dilation?
Answer:
The scale factor of the dilation is 2
Step-by-step explanation:
The given vertices the ΔFGH are;
F(2, 1), G(4, 1), and H(4, -1)
The lengths of the sides of the triangle ΔFGH are;
The length of segment FG = √((4 - 2)² + (1 - 1)²) = 2
The length of segment FH = √((4 - 2)² + ((-1) - 1)²) = 2·√2
The length of segment GH = √((4 - 4)² + ((-1) - 1)²) = 2
After a dilation with the center of dilation = (0, 0), to give the ΔF'G'H', we have;
The given vertices the ΔF'G'H' are F'(4, 2), G'(8, 2), H'(8, -2)
The length of segment F'G' = √((8 - 4)² + (2 - 2)²) = 4
The length of segment F'H' = √((8 - 4)² + ((-2) - 2)²) = 4·√2
The length of segment G'H' = √((8 - 8)² + ((-2) - 2)²) = 4
The length of the sides of ΔFGH = 1/2 × The length of the sides of ΔF'G'H' or the length of the sides of ΔF'G'H' = 2 × The length of the sides of ΔFGH
Therefore, the scale factor of the dilation is 2.
Find the difference.
60°
30°
40"
50"
40
What is m=3 and the line goes through the point (2,4) in point - slope form
Answer:
y-4=3(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.
By the binomial theorem,
(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴
(1 + 2x)³ = 1 + 6x + 12x² + 8x³
In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying
• x⁴ and 1 to get x⁴;
• 4x³ and 6x to get 24x⁴;
• 6x² and 12x² to get 72x⁴; and
• 4x and 8x³ to get 32x⁴.
Add these up:
x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴
IMPORTANT!!!
Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x
5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4
Writing Linear Equations from Key Information slope = 3, y-intercept = −1
Answer:
y = 3x - 1
Step-by-step explanation:
if hector ran 35.5 kilometers last week and 22.5 kilometers this week how many meters did he run over the last two weeks
Answer:
58000m
Step-by-step explanation:
he ran 35.5km+22.5km=58km
58km(1000m/km)=58000m
PLEASE HURRY!!!
Use the graph of the function to answer the question.
A line that passes through points (negative 4, 5), (negative 3, 3) and (negative 2, 1).
What is the output of the function when the input is −3?
Which graph represents a nonlinear function?
Answer:
It's the second one :) I think?
In a collection of dimes and nickels, the number of dimes is five less than three times the number of nickels. The value of the collection is $5.80.Let D represent the number of dimes and N represent the number of nickels. You need to know how many of each type of coin there is. Make "LET" statements and write a system of equations to model this situation. Check your answers.
Answer:
D= 3N-5
0.10D+0.05N=5.80
Step-by-step explanation:
So, Let D represents the number of dimes
N represents the number of nickels.
For the given statement "The number of dimes is 5 less than 3 times the N"
So, we could set up equation as
D=3N-5
Now, for the statement "The value of collection is $5.80"
So, we can set up equation for this as (please remember 1 dime is same as $0.10 and 1 nickel is same as $0.05)
0.10D+0.05N=5.80
The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': BY C' 7 B 6 2 A 3= + 2 -7-6-5-4-3-2-1 Which of the following completes the rule for this translation, (x, y) = (x - 8, points) ? (4 O y-6 Oy-3 O y + 6 O'y+3
need help asap please
Answer: y+3
Step-by-step explanation: I'm taking the test rn
Answer:
y + 3
Step-by-step explanation:
I took the test and got it right.
whats -33 + -20 , show how you can describe it.”
Step-by-step explanation:
-33 + -20 is -53. and I don't how
Hannah took $50.00 to go shopping and she bought 2 shirts for $17.00 each how change did she have left
Answer: Hannah had $16.00 left.
Step-by-step explanation: First, you add $17.00 plus $17.00 or $17.00 times 2 which gives you $34.00. Then, you subtract $50.00 minus $34.00 which gives you $16.00.
A restaurant sold tacos and burritos. Tacos cost $2.00 and burritos cost $1.00. The restaurant sold 48 items for a total of $86.00. Write a system of equations.
Answer:
blank 1-2x+y1=86
Blank 2- x+y=48
Step-by-step explanation:
Cual es la respuesta
Alguien que me ayude
Answer:
yes because it goes through the origin and has a constant rate is the correct answer hope it helps you :)
Identify the slope (m) and y-intercept (b) of each linear equation.
52. 3x+4y=24
Answer:
Step-by-step explanation:
[1] 3x - 4y = -24
[2] -x - 16y = -52
Graphic Representation of the Equations :
-4y + 3x = -24 -16y - x = -52
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -16y + 52
// Plug this in for variable x in equation [1]
[1] 3•(-16y+52) - 4y = -24
[1] - 52y = -180
// Solve equation [1] for the variable y
[1] 52y = 180
[1] y = 45/13
// By now we know this much :
x = -16y+52
y = 45/13
// Use the y value to solve for x
x = -16(45/13)+52 = -44/13
Solution :
{x,y} = {-44/13,45/13}
Kendra washes windows in an office building. She washes 25 2 5 of the windows on Monday. She washes 13 1 3 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?
I think you mean 2/5 and not 25 for Monday and 1/3 and not 13 on Tuesday. So i will solve with the fraction.
Answer: The fraction of the windows remaining for Kendra to wash=4/15
Step-by-step explanation:
Step 1
The fraction of windows washed on Monday = 2/5
The fraction of windows washed on Tuesday= 1/3
Fraction remaining to be washed = Total windows - Fraction already washed
Step 255
Fraction already washed=2/5 + 1/3 =6+ 5/15 = 11/15
The total numbers of windows in the office will be represented as 1 whole number since we are dealing with fractions such that the
Fraction remaining to be washed = 1- Fraction already washed
= 1- 11/15 = 15/15-11/15= 4/15
Answer:
Step-by-step explanation:
What is the y-intercept when a line has a slope of 1/2 and passes
through the point (2, -1)?
Answer:
2
Step-by-step explanation:
You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.
I am doing a percent equation problem and I need help please here’s the question 20% of blank =10
Answer:
[tex]50[/tex]
Step-by-step explanation:
Let [tex]x =[/tex] blank (for convenience)
[tex]20\%x=10[/tex]
[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)
[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)
[tex]x=50[/tex]
∴ Blank = 50
Hope this helps :)
Determine the value of −14.1 × (-7.33)
Answer:
Multiply -14.1 by -7.33.103.353 ?
Step-by-step explanation:
Sorry I'm not very good at math hope this helps..
