Answer:
Principal=$2000
Rate=3%
Time=3 years
Interest=P*T*R/100
=$2000*3*3/100
=$18000/100
=$180
Step-by-step explanation:
Neegan paddles a kayak 21 miles upstream in 4.2 hours. the return trip downstream takes him 3 hours. what is the rate that neegan paddles in still water? what is the rate of the current?
The speed of Neegan paddles in still water will be 6 miles/Hr, while the rate of the current will be 1 mile/Hr.
Neegan paddles a kayak 21 miles upstream in 4.2 hours.
As he is moving in Upstream, so during returning the flow will be downstream
Downstream refers to the direction of the flow's termination, which is at the other end of the canal from the source. You are travelling upstream, for instance, if you are sailing from Kingston to Toronto. You are travelling downstream if you are moving from Kingston to Cornwall.
Let the speed of Neegan paddles in still water = x miles/Hr.
Let the rate of the current be = y miles/Hr.
As Speed = Distance/Time
So, for Upstream speed, Speed will be = x-y
For downstream, the speed will be = x+y
From question,
(x-y) = 21/4.2 = 5-----(i)
(x+y)= 21/3 = 7 -----(ii)
Solving (i) and (ii)
2x = 12
=> x = 6
So, the value of y (From (i), will be = (x-5) = 6-5 = 1
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When a calcium atom forms an ion, it loses two electrons. what is the electrical charge of the calcium ion? responses −2 negative 2 −1 negative 1 1 1 2
When a calcium atom forms an ion, it loses two electrons. The electrical charge of the calcium ion is +2
What do you meant by electrical charge of a calcium ion?Calcium ions are net positive two charges. In calcium, when it has assumed its most stable state, the relationship between the quantity of protons (20) and the quantity of electrons (18) is represented by the +2 charge.
In the event that calcium (Z = 20) picks up two electrons, the resultant ion will have 18 electrons and 20 protons, giving it a charge of +2. (two more positive protons than negative electrons). It's a cation, this ion. Using the Ca2+ symbol, we can identify a calcium ion.
Atoms that lose electrons acquire a positive charge as there are fewer electrons left with negative charges to balance the positive charges of the protons in the nucleus. Positively charged ions are known as cations.
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In a math question, Magda correctly answered a question that asked for a typical measure of orange juice in a full family-size jug. Which was her answer
Magda said the typical measure of orange juice in a full family-size jug is 1 gal in value.
What is meant by mathematical expression?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.
The collection of mathematical symbols that emerges from the right arrangement of numbers is known as a mathematical expression and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.
The three different types of algebraic expressions are monomial, binomial, and polynomial.
The complete question is : In a math question, Magda correctly answered a question that asked for a typical measure of orange juice in a full family-size jug. Which was her answer?
a. 2 cups
b. 1 gal
c. 10 gal
d. 10 fl oz
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change from quadratic to vertex form.
Answer:
Factor out 1/3 because its a coefficient of x².
Why?
In order to proceed and complete the square... We need the coefficient of x² to be 1 and luckily for us.... Factoring 1/3 even makes everything easier
y=1/3[ x² + 20x + 97]
Using completing square on the function inside the bracket
x² + 20x + 10² + 97 – 10²
We have it to be( x + 10)² - 3]
y = 1/3[ (x +10)² - 3]
This is our Vertex Form... y=1/3[(x + 10)² - 3]
v(-10,-3).
In the figure below, what is m∠2if m∠4 = 120°?
[tex]343^{-4/3}[/tex]simplify
The value of the expression [tex]343^{-4/3}[/tex] is 1/2401.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]343^{-4/3}[/tex]
This can be written as,
1/[tex]343^{4/3}[/tex]
343 = 7³
= 1/[tex]7^{3\times4/3}[/tex]
= 1/[tex]7^4[/tex]
[tex]7^4[/tex] = 7 x 7 x 7 x 7 = 49 x 49 = 2401
= 1/2401
Thus,
The value of the expression is 1/2401.
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Please help ASAP. Which of the following are solutions of the system of linear inequalities? y > 4x+1 y≥x+4.
Using graphical method, the solution to the system of linear inequality (x, y) are (1, 5)
What is System of Linear InequalityA mathematical statement called a linear inequality depicts the relationship between two different variables, typically on a graph. A line or border that divides the area of all the points that fulfill the inequality from the areas of the points that do not constitutes the graph of a linear inequality. A set of lines in the coordinate plane that represent the equations of a system of linear inequalities is called a graph. The region of the coordinate plane where each of the inequalities holds can be seen by joining these lines to create a graph.
The inequality given are;
y > 4x + 1y ≥ x + 4This can be solved using a graphing calculator;
The point of intersection shows the solution to the graph
The solution to the linear inequalities (x, y) are (1, 5)
The broken lines in the graph is from the greater than inequality, while then straight unbroken lines is the inequality with greater than or equal to sign.
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How many solutions does the system of equations below have?
y = -5x + 9
y = -5x + 9
A) no solution
B) one solution
C) infinitely many solutions
Answer:
C
Step-by-step explanation:
They are both the same equation
Answer:first answer
Step-by-step explanation:
The picture below shows two electrically charged objects.
+ = positive
-= negative
What will happen to the two objects in the picture as they are slowly moved toward each other?
OA.
The objects will be pulled toward each other
OB
The objects will push away from each other
OC.
The objects will both be pushed in the same direction
OD.
The objects will not affect each other
Answer:
B. The objects will push away from each other
Step-by-step explanation:
I did the quiz :)
hope this helped!
Arlene buys a phone case and charging cord for 15% off. The original cost of the phone case is $18. Her total discount is $4. 20.
Write and solve an equation to find the original price of the charging cord, x
The equation to find the original price of the charging chord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.
Let the price of the phone case is x.
And the price of the charging cord is y.
Discounted price for phone case: 15% of x = 0.15x
Discounted price for charging cord = 0.15y
Now, according to the question, the total discount is $4. 20
⇒0.15x + 0.15y = 4.20
⇒0.15 * 18 + 0.15y = 4.20
⇒2.7 + 0.15y = 4.20
⇒0.15y = 4.2 - 2.7
⇒y = 1.5/0.15
⇒y = $10
Therefore the equation to find the original price of the cord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.
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Select the equation in standard form for the line that passes through (-9, 8) and (1, -12).
A) x + 2y = -20
B) 2x + y = -13
C) 2x+y = 7
D) 2x+y = -10
E) x + 2y = 20
Answer: D
Step-by-step explanation:
Since we are given 2 points, we can use that to find slope, convert to slope-intercept form, and then manipulate it to be standard form. Standard form is ax+by=c.
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-8}{1-(-9)} =\frac{-20}{10} =-2[/tex]
With m=-2, we can plug it into slope-intercept form to find the y-intercept.
[tex]y=-2x+b[/tex] [plug in point]
[tex]8=-2(-9)+b[/tex] [multiply]
[tex]8=18+b[/tex] [subtract both sides by 18]
[tex]b=-10[/tex]
With m and b, we can plug in the equation.
[tex]y=-2x-10[/tex] [add both sides by 2x]
[tex]2x+y=-10[/tex]
This gives D as the answer.
Find the area. Simplify your answer.
Answer:
x^2+x-2
Step-by-step explanation:
To calculate the area of the shape we need to multiply height to the base
(x-1) * (x+8) = x^2+7x-8
Where is Point B on the number line? ?? im Stuck on this ?????
Answer:
-0.4
Step-by-step explanation:
............................
What is the relationship between the circumference of a circle and its diameter?
A. The diameter is about 3 times the circumference.
B. The circumference is a little more than 3 times the diameter.
C. The diameter is about half the circumference.
D .It depends on the circle.
Answer:B
Step-by-step explanation:
Find a circle. Measure the diameter and circumference.
You can use a tape measure, a piece of string or roll the circle along a ruler.
In every case you will find the circumference is a little more than three times bigger than the diameter.
The more accurate your measurements are, the closer you will get to pi = 3.14159...
write an equation that expresses the following relationship p varies derectly with d and inversly with the square of u. In your equation use k as the proportionality
P= kd/u^2 is the equation which expresses the following relationship p varies derectly with d and inversly with the square of u.
What is Equation?Equation is a mathematical statement that expresses the equality of two expressions. An equation is written as an expression containing an equal sign, with each side of the equal sign representing a mathematical expression. The purpose of an equation is to show the relationship between two or more variables, such as a change in one variable resulting in a change in another. Equations are used to solve problems in mathematics, physics, economics, and many other fields.
The equation states that p is directly proportional to d, and inversely proportional to u squared. This means that as d increases, p increases, and as u increases, p decreases. The constant of proportionality, k, is a measure of the strength of the relationship between p, d, and u.
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What is the volume of the composite figure? Leave the answer in terms of pi.
Answer:
33 pi
Step-by-step explanation:
113.1/2 = 56.55
56.55 + 47.12 = 103.67
103.67/ pi = 33
11. Solve the inequality.
g-6> -1
Answer:
g>5
Step-by-step explanation:
Simply add 6 to both sides to get g>5
The table shows lunch
preferences recorded in a
school cafeteria.
What is the relative
frequency of a female
preferring chicken for lunch?
A) 42%
B) 16%
C) 20%
D) 55%
Answer:
D
Step-by-step explanation:
Jordann is painting her kitchen. To get the color she wants, she mixes 6 parts red paint and 2 parts yellow paint.
1) Write the ratio of parts red paint to parts yellow paint as a fraction.
2) Then, write the unit rate of red paint to yellow paint. (How many parts of red paint does she need for every 1 yellow part?)
What color do you imagine her kitchen will be?!
Answer:
1. 6:2
2.for every 1 yellow paint, she needs 3 red paints
3.an orange
Step-by-step explanation:
1. It would be 6:2 because for every 2 parts yellow she needs 6 parts red
2. Since the ratio is first 6:2, just divide it by 2 since there is 2 yellow and it's asking how much red you need for 1 yellow
What is a 69 sided shape called?
A 69 sided shape called"Hexacontakaienneagon".
Naming a polygon by its number of sides requires that we know the appropriate:
3=tri, 4=tetra, 5=penta, 6=Hexa, 7=hepta, 8=octa, 9=Nona or ennea, 10=deca,11=hendeca,12=dodeca,13=triskaideca,14=tetradeca,15=pentadeca,16=hexadeca,17=heptadeca,18=octadeca,19=enneadeca,20=icosa
For polygons with 3 through 20 sides, simply add "gon" to the prefixes at the left.
For more than 20 sides, we "construct" the name by using so-called combining prefixes:
For Tens Digit:
20=icosi,30=triaconta,40=tetraconta,50=pentaconta,60=hexaconta,70=heptaconta,80=octaconta,90=enneaconta
for One's Digit:
1=hena,2=di,3=tri,4=tetra,5=penta,6=hexa,7=hepta,8=octa,9=ennea
60 and 9
hexaconta kai ennea
As per the given information, 69 is defined as "Hexacontakaienneagon".
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Can Sombody help me fast will mark brainliest
Answer:
2950
Step-by-step explanation:
List the key features of the quadratic function y = -x^(2) + 4x - 3
A) x-intercepts: (1,0) and (3,0), y-intercept: (0,3), vertex: (2,–1)
B) x-intercepts: (–1,0) and (–3,0), y-intercept: (0,–3), vertex: (2,–1)
C) x-intercepts: (1,0) and (3,0), y-intercept: (0,–3), vertex: (–1,2)
D) x-intercepts: (1,0) and (3,0), y-intercept: (0,–3), vertex: (2,1)
The key features of the quadratic function y = -x² + 4x - 3 include the following: D) x-intercepts: (1, 0) and (3, 0), y-intercept: (0, –3), vertex: (2, 1).
What is y-intercept?In Mathematics, the y-intercept of any graph such as a quadratic function, generally occur at the point where the value of "x" is equal to zero (x = 0).
When x = 0, the y-intercept is given by;
y = -x² + 4x - 3
y = -0² + 4(0) - 3
y = -3
Therefore, the y-intercept of this quadratic function y = -x² + 4x - 3 is given by the ordered pair (0, -3).
What is the x-intercept?In Mathematics, the x-intercept can be defined as the point at which the graph of a quadratic function crosses the x-coordinate and the value of "y" is equal to zero (0).
By critically observing the graph of this quadratic function y = -x² + 4x - 3, the x-intercept include the following:
Ordered pair = (1, 0).Ordered pair = (3, 0).In conclusion, the vertex of this quadratic function y = -x² + 4x - 3 is (2, 1).
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2x+5=x+9
3x +2= 2 x +7
Answer:
explain?
Step-by-step explanation:
Shoes and hats are on sale. The expression 1/4(s + 24. 80) can be used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24. 80. Write another expression that can be used to determine the discount
The expression (1/4)(s + 24.80) is used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24.80. The expression calculates the discount as a quarter of the total retail price of the shoes and hats. So another expression is 0.25s + 6.20.
Another expression that can be used to determine the discount would be to calculate the discount as a percentage of the total retail price of the shoes and hats. For example, if the discount is 25%, the expression would be:
Discount = 0.25 × (s + 24.80)
This expression calculates the discount as 25% of the total retail price of the shoes and hats.
Another expression can be :
Discount = 0.25×s + 6.2
This expression calculates the discount as 25% of the shoes price and $6.2 for hats.
It is important to note that the specific expression used to determine the discount will depend on the details of the sale and how the discount is being offered. The above expressions are just examples of how the discount can be calculated using different methods.
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Nellie had $48.She spent 1/4 of it on a calculator. She also bought a book for $14.How much money did she spend all together?
Answer:
26$
Step-by-step explanation:
¼×48=12
so 12 was spent on calculator
12+14= 26
What does f ∘ G mean?
F ∘ G is a mathematical operation that is used to find the composite of two functions, f and G. This operation is also known as function composition or composition of functions.
Function composition (also known as function composition of functions) is a mathematical operation that allows one to combine two or more functions into a single, larger function. This operation is symbolized by F ∘ G. The composite of two functions, f and G, is defined as the composite of two functions f and G, which is a new function h, such that h(x) = f(G(x)) for all x in the domain of the function. This means that the output of G is the input of f and the output of f is the output of h. Function composition is a useful tool for combining functions in order to create more complex functions. It can also be used to simplify and shorten existing functions, as well as to simplify an equation by reducing the number of operations that need to be performed.
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Donny is raising money for the school charity drive by mowing lawns for $9.75 per lawn. How much will he raise for the drive? its a liner equation.
Answer:
y = 9.75x
Step-by-step explanation:
y = the money earned
x = number of lawns.
help help help plssssss
Answer:
SA = 108π cm²
Step-by-step explanation:
The surface area (SA) of a sphere is calculated as
SA = 4πr² ( r is the radius )
Thus the SA of a hemisphere is
SA = [tex]\frac{1}{2}[/tex] × 4πr² = 2πr²
The area of the circular base = πr²
Then total SA is
SA = 2πr² + πr² = 3πr² = 3π × 6² = 3π × 36 = 108π cm²
hello, can anyone help me out? ill give brainliest
Answer:
ur correct
Step-by-step explanation:
if ∠N and ∠Y are the same then we know the missing angle is 30.°
30
Step-by-step explanation:
do angle sum property
x + z + y = 180
60 + 90 + y = 180
150 + y = 180
y = 180-150
y = 30
Factor the expression completely.
x^4-17x^2+72
Step-by-step explanation:
x^4-9x^2-8x^2+72
x^2(x^2-9)-8(x^2-9)
(x^2-8)(x^2-9)
(x^2-8)(x+3)(x-3)