Answer:
(x + 7)(x + 5)
Step-by-step explanation:
Given
x² + 12x + 35
Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)
The factors are + 7 and + 5 , since
7 × 5 = + 35 and sum = 7 + 5 = + 12, then
x² + 12x + 35 = (x + 7)(x + 5) ← in factored form
Lincoln invested $2,800 in an account paying an interest rate of 5\tfrac{3}{8}5
8
3
% compounded continuously. Lily invested $2,800 in an account paying an interest rate of 5\tfrac{7}{8}5
8
7
% compounded quarterly. After 15 years, how much more money would Lily have in her account than Lincoln, to the nearest dollar?
Answer: 445
Step-by-step explanation:
Lincoln’s Final Amount:
Compounded Continuously: A=Pe^rt
P= 2800
r= 0.05375
t=15
A=2800e^0.05375(15)
A=2800e^0.80625
A=6270.5833
Lily’s final amount:
Compounded quarterly:
A=P(1+r/n)^nt
P=2800
r=0.05875
t=15
n=4
A=2800(1+ 0.05875/4)^4(15)
A=2800(1.0146875)^60
A=6715.7829
How much more money does Lily have?
6715.7829-6270.5835
=445.1994
The money would Lily have in her account than Lincoln, to the nearest dollar 445.
We have to determine the compound interest Lincoln’s final amount
Compounded Continuously
A=Pe^rt
P= 2800
r=0.05375
t=15
A=2800e^0.05375(15)
A=2800e^0.80625A=6270.5833
What is the formula for compound interest?
A=P(1+r/n)^nt
P=2800
r=0.05875
t=15
n=4
A=2800(1+ 0.05875/4)^4(15)
A=2800(1.0146875)^60
A=6715.7829
=6715.7829-6270.5835
=445.1994
Therefore money would Lily have in her account than Lincoln, to the nearest dollar 445.
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If x = 3 and y= -2, then
7x — Зу
2x + y
Answer:
(7 *3 -3*(-2))/(2*3+(-2)) = 6.75
Step-by-step explanation:
I NEED HELP WIT DIS ASSIGNMENT ASAP
What is the distance between -70 and -30 on
Answer:
-40 I wanna say
Step-by-step explanation:
Answer:
Brainliest??
Step-by-step explanation:
40 units
will mark the best awnser :)
Answer:
15 square feet
Step-by-step explanation:
i need some help on my exit ticket lol
Answer:
The area of a circle can be found using the formula [tex]A=\pi r^2[/tex]
Step-by-step explanation:
100 points. Can someone help
If a set of parallel lines contains the two points, (-2, 3) and (8, -5). If the lines are rotated 180 degrees clockwise, what would the two coordinates be after the rotation? Show or explain your work.
The two coordinates after the rotation are (2,-3) and (-8,5)
How to determine the coordinates after rotation?The points are given as:
(-2,3) and (8,-5)
The rule of 180 degrees clockwise rotation is:
(x,y) = (-x,-y)
This means that:
(2,-3) => (-2,3)
(-8,5) => (8,-5)
Hence, the two coordinates after the rotation are (2,-3) and (-8,5)
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Answer:
(2, -3) and (-8, 5)
Step-by-step explanation:
If a point is rotated 180° clockwise about the origin (0, 0) then:
(x, y) → (-x, -y)
Therefore,
(-2, 3) → (-(-2),-3) = (2, -3)
(8, -5) → (-8, -(-5)) = (-8, 5)
So the two coordinates after rotation would be (2, -3) and (-8, 5).
Is 14 19 23 a right triangle
Answer:no
Step-by-step explanation: because it is an acute triangle
Which equation can be rewritten as x + 4 = x2?
Assume x>0.
O √x+2=x
O √x+2 = X
O √x+4 = X
O √x2 + 16 = X
Which equation can be rewritten as x + 4 = x2?
Right ans is √x+4 = x
❣️
The equation x + 4 = x² will be written as √( x+2 ) = x. The correct option is B.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The given expression is x + 4 = x². The given expression will be simplified as below,
x + 4 = x²
Remove the square and apply the square root on the left side of the equation.
x = √ ( x + 4 )
Therefore, the equation x + 4 = x² will be written as √( x+2 ) = x. The correct option is B.
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***PLEASE HURRY***
***WILL MARK BRAINLEST***
Find the y-intercept for the parabola defined by this equation: y = -x^2 - 2x + 3 separate the values with a comma
Answer:
y-intercept is (0, 3)
Step-by-step explanation:
To find the y-intercept, substitute in 0 for x and solve for y.
What is the horizontal distance
(tricky, pay attention to the scale on the graph)
Answer:
2
Step-by-step explanation:
HELP PLEASE 24 POINTS
A large quantity of waste material contains metal. At the successive passes through a recovery
process the mass of the metal recovered is:
32kg at the first pass,
24kg at the second pass;
18kg at the third pass;
13,5kg at the fourth pass, and so on, to form a geometric sequence,
1. How much metal would be recovered at the eighth pass?
(Round off the answer to TWO decimal places)
Answer:
The amount of metal recovered at the eight pass is approximately 4.27 kg
Step-by-step explanation:
The mass of metal recovered formed the following geometric sequence;
32 kg, 24 kg, 18 kg, 13.5 kg
∴ The first term, a = 32 kg
The common ratio in the geometric sequence is found as follows;
r = a·r/a = 24 kg/(32 kg) = 0.75
r = a·r²/a·r = 18 kg/(24 kg) = 0.75
r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75
The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;
nth term = a·rⁿ⁻¹
a = 32, r = 0.75, n = 8
∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27
The amount of metal recovered at the eight pass ≈ 4.27 kg.
The eight term of the geometric sequence is 4.27.
Geometric sequenceA geometric sequence is in the form:
aₙ = ar⁽ⁿ⁻¹⁾
where aₙ is the nth term, a is the first term and r is the common difference.
Given that a = 32, r = 24/32 = 0.75
The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27
The eight term of the geometric sequence is 4.27.
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HELP PLEASE!!!!!!!!!!
Volunteers at Sam's school use same of the student council's savings for a special project. They buy 3 backpacks for $6 each and fill each backpack with paper and pens that cost $6. By how much did the students council's savings change because of this project?
multiple choice pls help
A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1 to 6, are rolled. After each roll, a player is given a certain number of points depending on the outcome.
If the sum is 2 or 12, the player receives +5 points.
If the sum is 3 or 11, the player receives +2 points.
If the sum is any other number, the player receives -1 points.
What is the expected value of the number of points a player will receive after a roll?
-1/3
7/11
4/3
2
Inez has $72 to buy video games each game costs $9 how many video games can Inez buy
Answer:
8
Step-by-step explanation:
1 video game = 9
? = 72
72/9=8
Answer:
8
Step-by-step explanation:
Find the time.
I = prt
Principal: $500
Rate: 5%
Interest earned: $25
Time: ?
Answer:
1 year
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
t = 25 / ( 500 × 0.05 ) = 1
t = 1 years
The time required to
accumulate simple interest of $ 25.00
from a principal of $ 500.00
at an interest rate of 5% per year
is 1 year.
don’t answer if you don’t know
Can someone help? Will mark Brainliest
Answer: The answer is the 3rd one
Step-by-step explanation:
9514 1404 393
Answer:
(d) AE = (32√6)/3
Step-by-step explanation:
The side length ratios in a 30-60-90 triangle are 1 : √3 : 2. In a 45-45-90 triangle, they are 1 : 1 : √2.
So, we have the side length ratios ...
CE : CD = 2 : √3
BE : CE = √2 : 1
AE : BE = 2 : √3
Then the ratio AE : CE is ...
[tex]\dfrac{AE}{CD}=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{2}}{1}\cdot\dfrac{2}{\sqrt{3}}=\dfrac{4\sqrt{2}}{3}[/tex]
Multiplying by the length of CD, we have ...
AE = (8√3)(4√2)/3
AE = (32√6)/3 . . . . . matches the last choice
Which comparison is not correct?
-7 > -9
-2 < -9
8 > -9
-8 < -4
Answer:
a
Step-by-step explanation:
screenshot attached on the bottom
Answer: 1st circle 0.42n
Step-by-step explanation:
Answer:
p=0.42n
Step-by-step explanation:
Im not sure but if you do 2.52 divided by 6 you get 0.42 so my answer is A (p=0.42n)
The volume of the rectangular pyramid is ___ cubic units.
Answer:
600 cubic units.
Step-by-step explanation:
The formula for a rectangular pyramid is[tex]V=\frac{lwh}{3}[/tex] or volume is equal to length x width x height divided by 3. The length is 15, the width is 10, and the height is 12. This equals to 1800, then we divide it by three for the answer.
Please help!! I don’t understand how to do this problem
Answer:
D.
Step-by-step explanation:
[tex]y = 3x \\ \frac{y}{3} = x \\ \\ \frac{3y}{3} + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y = \frac{45}{3} \\ y = 15 \\ \\ x = \frac{y}{3} \\ = \frac{15}{3} \\ = 5[/tex]
If Measure of angle a is 155°, what is Measure of angle c? Line l intersects line m to form 4 angles. Clockwise, from the top, the angles are: a, b, c, d. 25° 35° 155° 180°
Answer:
c. 155
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I took the test. Im sorry for the late response.
Difference of two whole numbers is 33 and its ratio is 2:5 then find those
numbers.
Answer:
Step-by-step explanation:
Let the two whole numbers be 5x and 2x then
by the question
5x - 2x = 33
3x = 33
x = 33/3
x = 11
Therefore the numbers are
5x = 5*11 = 552x = 2*11 = 22hope it helps:)
i need help due asap
Step-by-step explanation
the third one
Step-by-step explanation:
Let's solve for y.
8x−3y>11
Step 1: Add -8x to both sides.
8x−3y+−8x>11 −8x −3y>−8x+11
Step 2: Divide both sides by -3.
−3y/−3 > −8x+11/−3
y<8/3x−11/3
Answer:
y<8/3x−11/3
Anyone know the correct answer to this?
Answer:
It should be y=4x-7
Step-by-step explanation:
M is the slope meaning Δx over Δy or rise over run
So if you look at (2,2) and count up to (3,6) the rise is 4 and the run is 1 meaning the slope is 4.
B is the y- intercept so then it would just be -7.
9514 1404 393Answer:
y=4x-6
Step-by-step explanation:
The line intersects the y-axis at y=-6, so that is the value of 'b' in the slope-intercept form.
The horizontal difference between marked points is 1 unit; the vertical difference is 4 units. That means the slope is . . .
m = rise/run = 4/1 = 4
Filling in these values (m=4, b=-6), we get ...
y = 4x -6
What is the value of x in the figure below?
Answer:
x = 10
Step-by-step explanation:
Find the missing sides of the triangle. Leave your answers in simplest radical form.
Answer5
34
Step-by-step explanation: 45
Ap calculus need help please
Answer:
[tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 11[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Integrals
Definite IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^1_0 {f(x)} \, dx = 4[/tex]
[tex]\displaystyle \int\limits^1_0 {g(x)} \, dx = -3[/tex]
[tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx[/tex]
Step 2: Find
[Integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = \int\limits^1_0 {2f(x)} \, dx - \int\limits^1_0 {g(x)} \, dx[/tex][1st Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 2\int\limits^1_0 {f(x)} \, dx - \int\limits^1_0 {g(x)} \, dx[/tex]Substitute in integral values: [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 2(4) - (-3)[/tex]Multiply: [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 8 - (-3)[/tex]Subtract: [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 11[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e