Answer:
Three solutions were found :
x = 3/2 = 1.500
x = 2
x = -1
Step-by-step explanation:
Find the perimeter of this semi-circle with radius, r = 31cm. Give your answer rounded to 1 DP
Answer:
97.4cm
Step-by-step explanation:
The radius is 31cm so π x 31= 97.3893 rounded to 1DP is 97.4cm
Zoe invested $5,500 in an account paying an interest rate of 8 1/2% compounded continuously. Aubrey invested $5,500 in an account paying an interest rate of 8 1/4% compounded annually. To the nearest dollar, how much money would Aubrey have in her account when Zoe's money has doubled in value?
Answer:
Audrey will have $10,498.10 when Zoe's money has doubled in value.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra II
Natural Logs and Exponentials
Compounded Continuously Interest Rate Formula: [tex]\displaystyle A = Pe^{rt}[/tex]
P is the principle amountr is the interest ratet is timeCompounded Annually Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]
P is the principle amountr is the interest ratet is timeStep-by-step explanation:
Step 1: Define
Identify.
Zoe:
P = $5,500
r = 0.085
A = 2P
Aubrey:
P = $5,500
r = 0.0825
Step 2: Find Time
Find time elapsed by using Zoe.
Substitute in variables [Compounded Continuously Interest Rate]: [tex]\displaystyle 2P = 5500e^\big{0.085t}[/tex]Substitute in P: [tex]\displaystyle 2(5500) = 5500e^\big{0.085t}[/tex]Simplify: [tex]\displaystyle 2 = e^\big{0.085t}[/tex]Isolate t term: [tex]\displaystyle \ln 2 = 0.085t[/tex]Isolate t: [tex]\displaystyle t = \frac{\ln 2}{0.085}[/tex]So the time it takes for Zoe to get double her money is approximately 8.15467 years.
Step 3: Find Audrey's Money
Substitute in variables [Compounded Annually Interest Rate]: [tex]\displaystyle A = 5500(1 + 0.0825)^\big{\frac{\ln 2}{0.085}}[/tex]Evaluate: [tex]\displaystyle A = 10498.10[/tex]∴ after the elapsed time of approximately 8.15467 years, Zoe would have made double her money valued at $11,000 and Audrey would have made $10,498.10.
---
Topic: Algebra II
Unit: Logarithmic Functions
Jimmy jogged for a total of 6.8 miles last week. How many feet did Jimmy jog last
week? (1 mile - 5,280 feet)
Answer:
35904 ft
Step-by-step explanation:
We can set up an unit converter to find how many feet Jimmy jogged...
[tex]6.8 mi(\frac{5280ft}{1mi})[/tex]
Note that in this case, the miles (units) cancel out leaving us with:
[tex]6.8*5280ft=35904\ ft[/tex]
please help
i reallly need it
Answer:
300 in³Step-by-step explanation:
The volume is:
V = Bh, where B- area of base, h - heightFind the area of base, which is the trapezoid:
B = 1/2*(5 + 7.5)*6 = 37.5 in²Find the volume:
V = 37.5*8 = 300 in³numbers or variables that form a product are _____
Answer:
it is called a monomial
Step-by-step explanation:
kuz I said
6 inch popsicle sticks or 4.5 inch popsicle sticks which is better
Answer:
6
Step-by-step explanation:
help for 100 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
In the PDF. All the answers should be there. Let me know if I'm missing any.
Answer:
Answers are below
Step-by-step explanation:
help me. help me please
First Blank is to the 'left'
Second blank is to the 'right'
Hope that helps!
What is the correct justification for the first step in solving this equation? 3(x - 4) + 1 = 12x
Answer:
x = -11/9
Step-by-step explanation:
3(x-4) + 1 = 12x
Step 1: Use distributive property
3*x - 3*4 + 1 = 12x
3x - 12 + 1 = 12x
Step 2: Combine like terms
3x - 11 = 12x
Step 3: Subtract '3x' from both sides
-11 = 12x - 3x
-11 = 9x
Step 4: Divide both sides by 9
-11/9 = x
Answer:
Solve the first part in Parenthese
Step-by-step explanation:
3(X-4)
3x-12+1=12x
-1 -1
3x-11-12=12x
-12 -12
3x-11=0x
-11 -11
3x= -11x
/3 /3
x= -11/9
Jake spends 30% of his monthly budget on food. He total monthly budget is $2500. How much does he spend on food? *
I really need the answer
Answer:
$450
Hope This Helps! :D
Which of the following is a quadratic function?
A)f(x)=2-7x^2
B)f(x)=4^x
C)f(x)=0x^2+7x-4
D)f(x)=3x+8
Answer:
A.
Step-by-step explanation:
A quadratic equation is raised to a degree of 2. Because there is an [tex]x^{2}[/tex] term, it is considered a quadratic equation.
Answer:
The curve will touch the x-axis at x = 2, but not pass through it.
Step-by-step explanation:
I got it right on my test.
Activity 1. Evaluate the following limits.
5. lim
1. lim 13 (1 point)
x-1
2. lim 2x (1 point)
x +4
3. lim 2x2 + 3x + 5 (2 points)
x-1
x+1
4. lim (2 points)
x+3x-2
8x3-27
(4 points)
X
V 4x2-9
2
8x+1
6. lim (2 points)
2+1 V X+3
Vh+2-12
7. lim
(4 points)
れ→0
h
2x2-2-3
8. lim
(4 points)
3---1x3+2x2+6x+5
4x²_g
9. lim (3 points)
3 2x+3
x 2
x2-9
10. lim
(3 points)
X--3 V
2x2+7x+3
The limits are important in calculus and mathematical analysis and can be used to define integrals, derivatives and continuity. The limit of the given function is 4.
What is limit of a function?In mathematics, the limit is defined as the value that a function approaches the output for the given input values. It is used in the analysis process and it always concerns about the behaviour of the function at a particular point.
The upper and lower limits are used to define the definite integrals whereas the indefinite integrals are defined without using the limits and it have an arbitrary constant while integrating the function.
The limit of the given function is:
limₓ → -1 (2x² + 3x + 5)
(2 × (-1)² + 3 × (-1) + 5)
(2 × 1 + (-3) + 5) = ( 2 - 3 + 5)
= 4
So the limit of the given function is 4.
To know more about limit of the function, visit;
https://brainly.com/question/29795597
#SPJ7
Your question is incomplete most probably your full question was:
Evaluate the given limit lim ₓ → -1 (2x² + 3x + 5)
A rhombus is
a parallelogram.
always
sometimes
never
Answer:
Always
Step-by-step explanation:
Rhombi hold all the characteristics of parallelograms and have their own too added on.
Hope that helps!!
Please Help!
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences. g(x) = -2x - 3 and f(x) = Ix+1I - 4
Answer:
(0,3)
Step-by-step explanation:
It is where the lines intersect
The value of the g(x) is equal to the value of f(x). Then the solution of the equation is at (0, -3).
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The given expression are as follows
g(x) = -2x - 3 and f(x) = Ix+1I - 4
For the solution of the system, the value of the g(x) is equal to the value of f(x). Then we have
[tex]\begin{aligned} \rm g(x) &= \rm f(x)\\\\\rm -2x - 3 &= \rm x + 1 - 4\\\\-\rm 2x - 3 &= \rm x - 3\\\\\rm 3x &= 0\\\\\rm x &= 0 \end{aligned}[/tex]
Then the g(x) will be
g(x) = -2(0) - 3
g(x) = - 3
Then the solution of the equation is at (0, -3).
More about the linear system link is given below.
https://brainly.com/question/20379472
help pls its attached as a file
Ignore all of my extra work and the words my hand are "after each week (the very top one" and "represents the"
Answer:
Green nails
Step-by-step explanation:
Girl Scouts are selling cookies for $5 a box. Mark buys four boxes and donated $10 extra. What equation represents this situation?
If anyone can help me with this problem that will be amazing, thank you!!!
Answer:
y= 4x + 10
Step-by-step explanation:
It would equal this because mark buys 4 boxes x and he donated 10 dollars. So it would be that. You could also plug in 5 for x so it could be
y= 4(5) +10
But, either one should work.
Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon. How long is the blue ribbon if the red ribbon is 12 inches?
Answer:
12 inches of red ribbon + 7 inches
therefore the length of a blue ribbon is = 19 inches
Answer:he right
Step-by-step explanation:
please i cannot slove it. can u
Answer:
Step-by-step explanation:
[tex]a^{-1}=\dfrac{1}{a} \ ; \ b^{-1}=\dfrac{1}{b} \ ; \ c^{-1}=\dfrac{1}{c}[/tex]
[tex]\dfrac{1}{1+a+b^{-1}}+\dfrac{1}{1+b+c^{-1}}+\dfrac{1}{1+c+a^{-1}}=\dfrac{1}{1+a+ \dfrac{1}{b}}+\dfrac{1}{1+b+\dfrac{1}{c}}+\dfrac{1}{1+c+\dfrac{1}{a}}[/tex]
[tex]= \dfrac{1}{\dfrac{1*b}{1*b}+\dfrac{a*b}{1*b}+\dfrac{1}{b}}+\dfrac{1}{\dfrac{1*c}{1*c}+\dfrac{b*c}{1*c}+\dfrac{1}{c}}+\dfrac{1}{\dfrac{1*a}{1*a}+\dfrac{c*a}{1*a}+\dfrac{1}{a}}\\\\\\=\dfrac{1}{\dfrac{b+ab+1}{b}}+\dfrac{1}{\dfrac{c+bc+1}{c}}+\dfrac{1}{\dfrac{a+ac+1}{a}}\\\\\\=\dfrac{b}{b+ab+1}+\dfrac{c}{c+bc+1}+\dfrac{a}{a+ac+1}[/tex]
abc = 1
c = 1/ab
[tex]=\dfrac{b}{b+ab+1}+\dfrac{\dfrac{1}{ab}}{\dfrac{1}{ab}+b*\dfrac{1}{ab}+1}+\dfrac{a}{a+a*\dfrac{1}{ab}+1}\\\\\\[/tex]
[tex]= \dfrac{b}{b+ab+1}+\dfrac{\dfrac{1}{ab}}{\dfrac{1+b+ab}{ab}}+\dfrac{a}{\dfrac{ab+1+b}{b}}\\\\\\=\dfrac{b}{b+ab+1}+\dfrac{\dfrac{1}{ab}*ab}{1+b+ab}+\dfrac{ab}{ab+1+b}[/tex]
[tex]=\dfrac{b}{b+ab+1}+\dfrac{1}{1+b+ab}+\dfrac{ab}{1+b+ab}\\\\\\=\dfrac{b+1+ab}{b+1+ab}\\\\\\=1[/tex]
In Frank's toy bin there are 17 red blocks. There are 2 more yellow blocks than red blocks. There are also 12 more blue blocks than red blocks. How many blocks are there in all?
Answer:
65
Step-by-step explanation:
17 red
19 yellow
29 blue
add them together, = 65
how to know if an angle is congruent?
Answer:
Two angles are congruent if they have the same measure. If you didn't already know, when two lines intersect the vertical angles formed are congruent. For example, all the angles in a square are congruent. All the angles in a regular pentagon are 108°, therefore all the angles are congruent because they are the same.
Step-by-step explanation: Hope this helps:).........if not sorry:(
Answer:
Well, AN angle (as you've stated in your question) can't, by definition, be congruent; you need at least two angles. Once that condition is met, then we can say that two angles are congruent if they have the same measure.
Step-by-step explanation:
Ben had $40.00..he gave his brother 2/5 of the amount.how much money did Ben's brother receive?
Answer:
16
Step-by-step explanation:
2.4 as a mixed number
Answer:
2 2/5
Step-by-step explanation:
Tri scored a total of 31 points in the basketball game, and he scored p points in the second half of the game. Write an expression to determine the number of points he scored in the first half of the game. Then, find the number of points he scored in the first half of the game if he scored 7 points in the second half of the game
Please No Fake Answers this QUESTION IS ALOT OF POINTS ON A TEST
Answer:
If he scored x points in the first half, then x + p = 31
Answer:
expression: y = 31 - pHe scored 24 points in the first half.expression:
first half points + second half points = total points obtained
Let first half points be y
y + p = 31
y = 31 - p ......this is the expression.
solve:
y = 31 - p
y = 31 - 7
y = 24 points
How is the surface area of an open cylinder calculated?.
Answer:
SA = [tex]2\pi rh[/tex]
Step-by-step explanation:
Surface area of an open cylinder = circumference x height
⇒ SA = [tex]2\pi rh[/tex]
(where r is the radius and h is the height)
18x + 27 divided by 9
Answer:
that is the answer
Step-by-step explanation:
I hope it's help
The rule T⟨4, −1⟩ is used on the preimage point (2, −7). What is the image point?
The image point for the given rule and preimage is (6 - 8)
What is the image point?When we apply a rule T<a, b> to a preimage point (x, y) we get the image (x + a, y + b), so this is like a translation.
So if we apply the rule T<4, -1> to the preimage point (2, -7), the image will be:
(2 + 4, - 7 + (-1)) = (6 - 8)
Concluding, the image point is (6 - 8)
If you want to learn more about translations, you can read:
https://brainly.com/question/2972832
3.
The area of a circular region is increasing at a rate of 96pi square meters per second. When the area of
the region is 64pi square meters, how fast, in meters per second, is the radius of the region increasing?
Answer:
32pi
Step-by-step explanation:
The weight of an object is affected by gravity. Something that weighs 1 pound on earth will weigh 1.08 times that weight on Saturn. If a rock weighs 2 1/2
pounds on Earth, what will the object weigh on Saturn?
Answer:
2.7 lb
Step-by-step explanation:
2x1.08=2.16
1/2x1.08=0.54
2.16
+ 0.54
2.70
2.70 = 2.7
scored 28 points in his basketball game by shooting only two point and three point shots. He scored a total of 13 baskets
te a system of equations to represent the number of each type of basket Jake scored. Explain your thinking:
Answer:
Let x represent the number of 2 pointers made.
Let y represent the number of 3 pointers made.
We have to create a system of equations to solve this problem:
Isolate for in Equation #1:
Substitute the new Equation #1 into Equation #2:
Solve for :
Distribute the Parenthesis:
Combine like terms:
Add -46 to both sides:
Substitute this value into Equation #1:
Add -7 to both sides:
The Solution Is:
Jake made 16 two-pointers and 7 three-pointers!
I hope this helped!
Step-by-step explanation:
