Answer:
it is already lowest terms
Step-by-step explanation:
In A GHI, IG = HI and m
Answer:
Step-by-step explanation:
That would be 5
Answer:
That would be 5
Step-by-step explanation:
The functions shown represent the populations of six cities after x years. Which function best represents each situation? Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.
The exponential function is given by f ( x ) = 15,000 ( 1 + r )ⁿ , where n is the number of years and r is the rate of increase or decrease in population
What is exponential growth factor?
The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the initial population of the city be represented as x₀
The value of x₀ = 15,000
Let the number of years be represented as n
Now , when the rate of decrease is 5 % each year ,
The exponential decay equation is
f ( x ) = 15,000 ( 1 - 5/100 )ⁿ
f ( x ) = 15,000 ( 1 - 0.05 )ⁿ
On simplifying , we get
f ( x ) = 15,000 ( 0.95 )ⁿ
Now , when the rate of increase is 15 % each year
The exponential growth equation is
f ( x ) = 15,000 ( 1 + 15/100 )ⁿ
f ( x ) = 15,000 ( 1 + 0.15 )ⁿ
f ( x ) = 15,000 ( 1.15 )ⁿ
Hence , the exponential equations are solved
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-1 - 3 - (-9) + (-5)
Answer:
0
Step-by-step explanation:
- 1 -3 - (- 9) + (- 5) = - 4 + 9 - 5 = 5 - 5 = 0
The answer is 0
Answer:
0
Step-by-step explanation:
-1-3-(-9)+(-5)=-1-3+9-5
-1-3=-4
9-5=4
-4+4=0
Find the inverse function in slope-intercept form (mx+b):
f(3) = 5x – 15
Answer:
m=5
Step-by-step explanation:
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
If two medians of a triangle are congruent, then what is the triangle?
The volume of the right cone below is 2767 units³. Find the value of x.
The value of x is approximately 49.4 units.
What is volume ?
Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically expressed in cubic units such as cubic meters, cubic centimeters, or cubic feet. Volume is a fundamental concept in mathematics and physics, and it is an important property for describing the size, capacity, or amount of material contained within an object.
Let's start by defining some variables:
r: radius of the cone
h: height of the cone
V: volume of the cone
A right cone has a circular base, and its volume can be calculated as follows:
V = (1/3) * π * r² * h
If the diameter of the base is 12 units, then the radius is half of that:
r = 6 units
We also know that the volume is 2767 units³, so we can write:
2767 = (1/3) * π * 6² * h
Simplifying:
h = (2767 * 3) / (π * 6²)
h ≈ 49.15 units
Now, we need to find the value of x. We can use the Pythagorean theorem to relate x, r, and h:
x² = r² + h²
Substituting the values we have:
x² = 6² + 49.15²
x ≈ 49.4 units
Therefore, the value of x is approximately 49.4 units.
In summary, we used the formula for the volume of a cone to relate the radius and height of the cone to its volume. Then, we used the Pythagorean theorem to relate the unknown value of x to the known values of r and h. Finally, we substituted the known values to find the approximate value of x.
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Your complete question is :-The volume of the right cone below is 2767 units³. Find the value of x if it's diameter is 12
What is the area of the triangle in the diagram?
theres no diagram given
Choose the equation that represents the solutions of 0 = 0.25x² - 8x. 0.25± √(0.25)² - (4)(1)(-8) 2(1) O O X = X = X = X = -0.25± √√(0.25)² – (4)(1)(-8) 2(1) 8± √(-8)²-(4)(0.25) (0) 2(0.25) -8± √(-8)²-(4)(0.25)(0) 2(0.25)
The given equations represent the solutions of 0 = 0.25x² - 8x
What is an equation?An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.
Redirecting to answer:
The equation 0 = 0.25x² - 8x can be rewritten as:
0.25x² - 8x = 0
Factoring out x gives:
x(0.25x - 8) = 0
So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.
Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x
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Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection. Which function f represents the relationship between the number of stamps (s) and the number of weeks (w)?
A.
s = f(w) = 12 + 4w
B.
w = f(s) = 12s + 4
C.
s = f(w) = 12 + 4s
D.
w = f(s) = 12w + s
E.
s = f(w) = s – 12
The function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection.
The number of stamps is s and the number of weeks is w.
s = f(w) = 12 + 4w
Because Every week, he adds 4 more stamps to the collection
Thus, the function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.
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PLEASE HELP................
1. The scale factor here in the dilation is 4/3.
2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.
What is dilation?During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:
A rise in an object's size is referred to as expansion.
Contraction is the term used for a reduction in size.
Here in the question,
The coordinates of the point B change from (-3,6) to (-4,8).
The scale factor here is -4/-3=4 or 8/6=4/3.
Now, when the dilation happens below the plane, the coordinates will be (x,-y)
So, the dilation factor will be -4/3.
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Find the sum of the following finite geometric series.
The sum of the geometric sequence in this problem is given as follows:
5.77.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.
The first term, the common ratio and the number of terms for this problem are given as follows:
\(a_1 = 10, q = -\frac{2}{3}, k = 8\)
The formula for the sum of the first n terms is given as follows:
\(S_n = a_1\frac{1 - r^n}{1 - r}\)
Hence the sum for this problem is given as follows:
\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)
\(S_8 = 5.77\)
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The scale factor and the value of x for each figure is given as follows:
A) Scale factor of 1/3, x = 7 m.
B) Scale factor 0.4747, x = 4.5 in.
How to obtain the scale factor and the value of x?For Figure A, we have that the ratio between the areas is given as follows:
510/4590 = 1/9.
As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:
1/3.
Then the value of x is obtained as follows:
x = 21 x 1/3
x = 7 m.
For Figure B, we have that the ratio between the areas is given as follows:
16/71 = 0.22535.
The scale factor is then the square root of 0.22535, which is given as follows:
0.4747.
Then the value of x is given as follows:
x = 9.5 x 0.4747
x = 4.5 in.
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Expert Card has an APR of 16.2% compounded monthly. Passport has a daily periodic interest rate of 0.0398%. Explore has a monthly periodic interest rate of 1.35%. Which card has the higher APR?
Answer:
Explore is Answer
Step-by-step explanation:
1,300 aliens from Area 51 escaped at 2:00am on Wednesday, and the armed forces are able to capture half of them every four hours. How many aliens will remain free at 8:00pm on Wednesday?
Answer:
Let's start by figuring out how many aliens are captured every four hours. If half of the aliens are captured every four hours, that means the number of remaining aliens is also halved every four hours. So we can use exponential decay to model the number of aliens remaining after t four-hour periods:
N(t) = N₀ (1/2)^t
where N₀ is the initial number of aliens and t is the number of four-hour periods that have passed.
The initial number of aliens is 1,300, and we want to know how many remain after 14 four-hour periods (from 2:00am to 8:00pm, a total of 16 hours with 4-hour intervals):
N(14) = 1,300 (1/2)^14
N(14) ≈ 20.16
So there will be approximately 20 aliens remaining free at 8:00pm on Wednesday. Note that the actual number may be slightly different due to rounding, and also because we assumed that the capture rate remains constant throughout the 16-hour period.
Step-by-step explanation:
Let's start by figuring out how many aliens are captured every four hours. If half of the aliens are captured every four hours, that means the number of remaining aliens is also halved every four hours. So we can use exponential decay to model the number of aliens remaining after t four-hour periods:
N(t) = N₀ (1/2)^t
where N₀ is the initial number of aliens and t is the number of four-hour periods that have passed.
The initial number of aliens is 1,300, and we want to know how many remain after 14 four-hour periods (from 2:00am to 8:00pm, a total of 16 hours with 4-hour intervals):
N(14) = 1,300 (1/2)^14
N(14) ≈ 20.16
So there will be approximately 20 aliens remaining free at 8:00pm on Wednesday. Note that the actual number may be slightly different due to rounding, and also because we assumed that the capture rate remains constant throughout the 16-hour period. please give brainliest! :D
Could I get some help? QUESTION: This table shows the profit for a company (in millions of dollars) in different years.
The quadratic regression equation that models these data is y=-0.34x^2+4.43x+3.46. Using the quadratic regression equation, what was the predicted profit in year 8?
A. $17.14 million
B. $16.8 million
C. $17 million
D. $16 million
Answer:
17 million
Step-by-step explanation:
-0.34(\(8^{2}\)) + 4.43(8) + 3.46
-21.76 + 35.44 + 3.46
13.68 + 3.46
17.14
Answer: C 17 million
Have an amazing day!
PLEASE RATE!
Which is the correct answer
Answer:
I think it is -34 but i might not be right
Step-by-step explanation:
• Write this number as a fraction:178.25
Answer: 178 1/4 or 713/4
Step-by-step explanation:
178.25 = 178+0.25 = 178+25/100
gcd(25,100) = 25
178.25 = 178+(25/25)/(100/25) = 178+1/4 = 713/4
Mr. T gave the clerk $10 to pay for 5 pairs of blue gloves. The clerk gave him $4.65 in
change. Each pair of blue gloves cost the same amount. What is the cost in dollars and
cents for each pair of gloves?
Answer:
each blue glove is 1.07
Step-by-step explanation:
10-4.65=5.35
5.35/5=1.07
Answer:1.07
Step-by-step explanation:10-4.65=5.35
5.35/5=1.07
Please help, I will give brain list.
Answer:
12.25
Step-by-step explanation:
3.5*3.5=12.25
Answer:
12.25m^2
Step-by-step explanation:
3 1/2 × 3 1/2
3 1/2 is equivalent to 7/2
7/2 × 7/2= 49/4
this simplifies to 12.25
answer: 12.25 m^2
Can someone help me please
Answer:
\(\frac{-2.2}{6.1}\)
Step-by-step explanation:
If you use the slope formula:
and you plug everything in you will get -2.2/6.1
Answer:
\(\frac{-2.2}{6.1}\)
A bike race takes place over a 3 mile course. How many feet is it?
a
15280 ft
b
3000 ft
c
15,840 ft
d
15000 ft
Answer:
A
Step-by-step explanation:
Here is ur answer
- BRAINLIEST answerer
Schedule K-1 (Form 8865) (irs.gov) use this form provided to Natalie Maloney
Schedule K-1 (Form 8865) is used to report the partner's share of income, deductions, credits, and other items for the tax year of a foreign partnership.
Some guidelines for completing the form:Identification information: Fill out the partnership's name, employer identification number (EIN), and address.
Partner's identifying information: Fill out the partner's name, identifying number (usually their taxpayer identification number or TIN), address, and their percentage of ownership in the partnership.
Income items: Report the partner's share of ordinary income, net rental income, gain or loss from the sale of property, and other income items on lines 1-7. Make sure to also include any foreign source income or deductions.
Deductions: Report the partner's share of partnership deductions, such as business expenses, depreciation, and depletion, on lines 8-15.
Credits: Report the partner's share of any foreign taxes paid or other credits on lines 16-21.
Other items: Report any other items that are required to be reported on Schedule K-1, such as guaranteed payments, charitable contributions, and Section 743(b) adjustments, on lines 22-27.
At-risk limitation: If the partnership is engaged in an activity subject to the at-risk rules, report the partner's share of the at-risk limitation on line 28.
Passive activity limitation: If the partnership is engaged in a passive activity, report the partner's share of the passive activity limitation on line 29.
P.S Your question is incomplete, so I gave a general overview of the tax form for better understanding.
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The difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
Answer:
spoke out of term and with no true option.
classify the quadrilateral formed at the points: A(-3,1) B(4,2) C(9,-3) and D (2,-4)
tags: geometry homework help need fast
Answer:
Step-by-step explanation:
To classify the quadrilateral formed by the given points, we need to find the length of each side and the measure of each angle.
Using the distance formula, we can find the length of each side:
AB = sqrt((4 - (-3))^2 + (2 - 1)^2) = sqrt(49 + 1) = sqrt(50)
BC = sqrt((9 - 4)^2 + (-3 - 2)^2) = sqrt(25 + 25) = 5sqrt(2)
CD = sqrt((2 - 9)^2 + (-4 - (-3))^2) = sqrt(49 + 1) = sqrt(50)
DA = sqrt((-3 - 2)^2 + (1 - (-4))^2) = sqrt(25 + 25) = 5
Using the slope formula, we can find the measure of each angle:
Angle ABC: m1 = (2 - 1)/(4 - (-3)) = 1/7
m2 = (-3 - 2)/(9 - 4) = -1/5
tan(ABC) = |(m2 - m1)/(1 + m1m2)| = 3/4
ABC = arctan(3/4) ≈ 36.87°
Angle BCD: m1 = (-3 - 2)/(9 - 4) = -1/5
m2 = (-4 - (-3))/(2 - 9) = 1/7
tan(BCD) = |(m2 - m1)/(1 + m1m2)| = 3/4
BCD = arctan(3/4) ≈ 36.87°
Angle CDA: m1 = (-4 - 1)/(2 - (-3)) = -1
m2 = (1 - (-3))/(-3 - 9) = 1/2
tan(CDA) = |(m2 - m1)/(1 + m1m2)| = 7/5
CDA = arctan(7/5) ≈ 54.46°
Angle DAB: m1 = (1 - (-4))/(4 - (-3)) = 5/7
m2 = (-4 - (-3))/(-3 - 2) = 1/5
tan(DAB) = |(m2 - m1)/(1 + m1m2)| = 3/4
DAB = arctan(3/4) ≈ 36.87°
Therefore, the quadrilateral formed by the given points is a kite, because adjacent sides are congruent and one diagonal bisects the other diagonal at a right angle.
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
answer ASAP pic below
"alice and Chloe had a total of 308 seashells at first. After Alice sold 56 seashells, Chloe had thrice as many seashells as her. How many sea shells does Alice have at first?" singapore math
Answer:
119
Step-by-step explanation:
308 - 56 = 252
252/4 = 63
63 + 56 = 119
Hope this helps!
Answer:
let Alice seashells be X and Chloe's be Y
x + Y = 308.........i
3(X - 56) = Y.......... ii
simultaneous equation created
{X + Y = 308}
{3X - 168 = Y}
X + Y = 308
3X - Y = 168........by elimination method
4X + 0 = 476
X = 119
therefore.... Alice had 119 seashells at first
from eqn(i)...
X + Y = 308
119 + Y = 308
Y = 308 - 119
Y = 189
therefore.... Chloe had 189 seashells at first
A piece of office equipment purchased for dollar-sign 67,500 depreciates in value each year. Suppose that each year the value of the equipment is StartFraction 1 Over 15 EndFraction less than its value the preceding year.
Calculate the value of the equipment after 2 years.
The value of the equipment after 2 years is dollar-sign
9514 1404 393
Answer:
$58,800
Step-by-step explanation:
Each year, the value is multiplied by 1-1/15 = 14/15. Then after 2 years, the initial value has been multiplied by (14/15)^2 = 196/225. The value after 2 years is ...
$67,500×196/225 = $58,800
the product of two numbers and the difference them are 289 and 20 respectively. find the numbers
Answer:
x = 10 + √389, y = -10 + √389 // x = 29.7231, y = 9.72308
or
x = 10 - √389, y = -10 - √389 // x = -9.72308, y = -29.7231
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStandard Form: ax² + bx + c = 0Quadratic Formula: \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)Step-by-step explanation:
Step 1: Define Systems
xy = 289
x - y = 20
Step 2: Rewrite Systems
x - y = 20
Subtract x on both sides: -y = 20 - xDivide -1 on both sides: y = x - 20Step 3: Redefine Systems
xy = 289
y = x - 20
Step 4: Solve for x
Substitution
Substitute in y: x(x - 20) = 289Distribute x: x² - 20x = 289Rewrite [SF]: x² - 20x - 289 = 0Define variables: a = 1, b = -20, c = -289Substitute [QF]: \(x=\frac{20\pm\sqrt{(-20)^2-4(1)(-289)} }{2(1)}\)Exponents: \(x=\frac{20\pm\sqrt{400-4(1)(-289)} }{2(1)}\)Multiply: \(x=\frac{20\pm\sqrt{400+1156} }{2}\)Add: \(x=\frac{20\pm\sqrt{1556} }{2}\)Simplify: \(x=\frac{20\pm 2\sqrt{389} }{2}\)Factor GCF: \(x=\frac{2(10\pm \sqrt{389} )}{2}\)Divide: \(x=10\pm \sqrt{389}\)Step 5: Solve for y
Possibility 1: x = 10 + √389
Define equation: x - y = 20Substitute in x: (10 + √389) - y = 20Isolate y term: -y = 20 - (10 + √389)Isolate y: y = (10 + √389) - 20Combine like terms: y = -10 + √389Evaluate: y = 9.72308Possibility 2: x = 10 - √389
Define equation: x - y = 20Substitute in x: (10 - √389) - y = 20Isolate y term: -y = 20 - (10 - √389)Isolate y: y = (10 - √389) - 20Combine like terms: y = -10 - √389Evaluate: y = -29.7231Step 6: Identify Solutions
Possibility 1:
x = 10 + √389, y = -10 + √389
x = 29.7231, y = 9.72308
Possibility 2:
x = 10 - √389, y = -10 - √389
x = -9.72308, y = -29.7231