Answer:
1 a: 1.46
2 a : .73
3 a : 1.54
____
1 b: 9.42
2 b: 2.9
3 b: 16.96
- I hope that helps :)
Step-by-step explanation:
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Find equation of the line shown
The equation of the line is y = x + 6
How to detemrine the equatiin of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following highlights
The graph intersect the y-axis at y = 6
This means that the intercept c is 6
Also, as x changes by 1, the y values changes by 1
This mean sthat the slope is 1
So, we have
y = mx + c
This gives
y = x + 6
Hence, the equation is y = x + 6
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The linear equation on the graph can be written as:
y = (3/2)*x + 6
How to find the equation in the graph?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁), then the slope will be:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we can see the points (0, 6) (so the y-intercept is b = 6) and (4, 10)
Then the slope will be:
a = (10 - 6)/(4 - 0) = 6/4 = 3/2
Then the linaer equation is:
y = (3/2)*x + 6
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The rear windshield wiper of a car rotated 120 degrees,as shown. Find the area cleared by the wiper. 25inch,120 degrees, 14inch
The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.
The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.
The wiper's arm is represented by a line segment and has a length of 14 inches.
The wiper's blade is perpendicular to the arm and has a length of 25 inches.
Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.
As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.
The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.
In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.
Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Find the value of tan L rounded to the nearest hundredth, if necessary.
Using it's formula, it is found that the tangent of F is given by:
tan F = 6√85 / 85
How to find the tangent of an angle?
In a right triangle, the tangent of an angle is given by the length of the opposite leg divided by the length of the adjacent leg.
Researching the problem in the internet, it is found that for the right triangle in this problem:
The length of the opposite leg to angle F is of 6.
The length of the adjacent leg to angle F is of x.
The length of the hypotenuse is of 11.
Applying the Pythagorean Theorem, we have that:
6² + x² = 11²
36 + x² = 121
x = √85
Considering that the tangent is the length of the opposite leg divided by the length of the adjacent leg, we have that:
tan F = 6√85 / 85
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If f(x) = 2x + 1, find f(1). Just write the answer no equals or variable!!!
Answer:
3
Step-by-step explanation:
f(1)=2(1)+1
f(1)=3
how many like terms are in the expression 4j^2 +3j^2-9j^2
Answer: 16j^3+2
Step-by-step explanation:
Which is greater, 2 5/6 hours or 2.8 hours?
Answer:
2.8 hours
Step-by-step explanation:2.8 hours is greater because 2.8 hours is 3 hours and 20 minutes.
2 5/6 is not a full 3 hours, its just 2 hours and 50 minutes
A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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Select the correct answer.
What is the value of x in the triangle?
a 30-60-90 triangle with long leg length x and shorter leg length of 7 times the square root of 3
The length of the hypotenuse is 7m.
Let the side opposite to 30° be the shortest leg.
The side opposite to 60° is the longest leg.
So, the side opposite to 90° is hypotenuse.
Length of the shortest side is x.
Length of longest side is \(\sqrt{3}x\)
Length of the hypotenuse is 2x.
We know x = 7
So, \(\sqrt{3}(x)=\sqrt{3}(7)\)
Thus, the length of the longer leg is \(\sqrt{3}(7)\) m
Length of hypotenuse = 2x = 2(7) = 14m
\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)
Taking square root on both sides:
\(2x = \sqrt{196}\)
2x = 14
x = 7
Therefore, the length of the hypotenuse is 7m.
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Which is the better buy?
20 pounds of pet food for $14.99 or 50 pounds of pet food for $37.99?
Please help me!!!!!!!!!
The items have different y intercepts and different rate of change, option A is correct.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
For II, let us find the slope
m=2-4/0-3
m=2/3
Now let us find y intercept
2=b
Slope intercept form is y=2/3x+2
Hence, the items have different y intercepts and different rate of change, option A is correct.
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Help me please! This is so confusing!
Answer:
a) yes, 2, 1/2
b) b = 2t; t = 1/2b
Step-by-step explanation:
a) The number of batteries is twice the number of toys. Using the variables of part B, this relation is ...
b = 2t
This is of the form required for a proportional relation: y = kx, with a value of k=2.
__
If we divide the above equation by 2 on both sides, we get ...
1/2b = t
This is also a proportional relation, with a constant of proportionality of 1/2.
Toys and batteries are in a proportional relationship. The constants of proportionality are 2 or 1/2.
__
b) As we saw above, the equations can be ...
b = 2t
t = 1/2b
Y=x-2 and y=3x +5 what does x and y =
Answer:
x = - 3.5 , y = - 5.5
Step-by-step explanation:
y = x - 2 → (1)
y = 3x + 5 → (2)
substitute y = 3x + 5 into (1)
3x + 5 = x - 2 ( subtract x from both sides )
2x + 5 = - 2 ( subtract 5 from both sides )
2x = - 7 ( divide both sides by 2 )
x = - 3.5
substitute x = - 3.5 into either of the 2 equations for y
substituting into (1)
y = x - 2 = - 3.5 - 2 = - 5.5
then x = - 3.5 and y = - 5.5
Are x = -4 and x = 6 solutions to 5x + 7 < 22?
TRUE OR FALSE
Answer:
false
Step-by-step explanation:
only x=-4 would work in the inequality
The traditional way of writing a number.
Step-by-step explanation:
In legal prose it is traditional to write every number twice, first in words, followed by the same number written in digits enclosed in brackets: That sentence contained twenty-five (25) words. Easy as one (1), two (2), three (3).
In a triangle ABC, let G denote its centroid and let M,N be points in the interiors of the segments AB,AC, respectively, such that M,G,N are collinear. If r denotes the ratio of the area of triangle AMN to the area of ABC then find r.
Answer: hello options related to your question is missing attached below is the missing option
answer :
4/9 ≤ r < 1/2 ----- ( c )
Step-by-step explanation:
Given that G denotes the centroid of triangle ABC and points M, N are points found in the interiors of segments AB,AC
also Given that r denotes ratio of triangles AMN to triangle ABC
attached below is a detailed solution
Elena receives $95 per year in simple interest from three investments totaling $2100 . Part is invested at 3%, part at 4%, and part at 5%. There is $1000 more invested at 5% than at 4%. Find the amount invested at each rate.
The amount invested at 3% is $
the amount invested at 4% is $
and the amount invested at 5% is $
The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.
Let's assume the amount invested at 4% is x dollars.
According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.
So, the amount invested at 5% is (x + $1000).
The total amount invested is the sum of the amounts invested at each rate, which is $2100.
Therefore, we can write the equation:
x + (x + $1000) + (amount invested at 3%) = $2100
Now, we can calculate the amount invested at 3%.
We subtract the sum of the amounts invested at 4% and 5% from the total investment:
(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)
Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:
Simple Interest = Principal × Interest Rate
The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.
According to the problem, the total interest earned is $95.
So we can write the equation:
(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95
Now we can substitute the expression for (amount invested at 3%) and solve for x.
Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.
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how to solve 17/34=7/f
Answer:
cross multiple
17×f=34×7
17f/17=578/17
f=34
Kira solved the equation in the following way.
7
2
− 2x = 11
2
7
2
− 7
2
− 2x = 11
2
− 7
2
−2x ÷ −2 = 4
2
÷ − 2
x = −1
Describe the properties of equality that Kira used.
I can barely understand this.
Step-by-step explanation:
why are all the numbers on the side for
please help me im stuck on this question
Answer:
78.0 kilo
Step-by-step explanation:
85.8- 93.6= 7.8
101.4-93.6= 7.8
85.8-7.8 = 78.0 kilo
The Smith family just took out a variable-rate mortgage on their new home. The mortgage value is $100,000, the term is 30 years, and initially the interest rate is 8%. The interest rate is guaranteed for 5 years, after which time the rate will be adjusted according to prevailing rates. The new rate can be applied to their loan either by changing the payment amount or by changing the length of the mortgage.
(a) What is the original yearly mortgage payment? (Assume payments are yearly.)
(b) What will be the mortgage balance after 5 years?
(c) If the interest rate on the mortgage changes to 9% after 5 years, what will be the new yearly payment that keeps the termination time the same?
(d) Under the interest change in (c), what will be the new term if the payments remain the same?
Answer:
(a) $8,882.74
(b) $94,821.32
(c) $9,653.40
(d) 43 years
Step-by-step explanation:
These calculations are best done using a financial calculator or app, or a spreadsheet. The attachment shows the results using a spreadsheet.
(a)The annual payment amount is given by the spreadsheet formula ...
=PMT(8%,30,100000)
The yearly payment will be $8,882.74.
__
(b)The remaining balance on the loan is its future value after 5 payments. That is given by the spreadsheet formula ...
=-FV(8%,5,-8882.74,100000)
The balance after 5 years will be $94,821.32.
__
(c)The payment on $94,821.32 at 9% amortized over the remaining 25 years of the original loan is given by ...
=PMT(9%,25,94,821.32)
The new yearly payment will be $9,653.40.
__
(d)The time required to pay off the remaining $94,821.32 with the original payment amount of $8,882.74 and an interest rate of 9% is given by the spreadsheet formula ...
=NPER(9%,-8882.74,94,821.32)
It will take about 37.6 more payments if the payments remain the same. The final payment will be made at the end of the 43rd year.
_____
Additional comment
When using spreadsheet formulas, you need to pay attention to signs. Generally, payments will have a negative sign, and amounts received will have a positive sign. Financial calculators will often have a similar convention. Loan apps may be different.
50 Points! Multiple choice algebra question. If r(x)=x^3-2x+1, find r(2a^3). Photo attached. Thank you!
Answer:
D
Step-by-step explanation:
Answer:
D. \(8a^{9} -4a^{3} +1\)
Step-by-step explanation:
Given \(r(x)=x^{3} -2x+1\) and find \(r(2a^{3} )\) :
\(r(2a^{3} )\) is the same as saying \(x=2a^{3}\)So, we have \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)Solve for \(r(2a^{3} )\) :
1. \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)
Start with simplifying \((2a^{3})^{3}\)\((2a^{3})^{3}=2^{3}*(a^{3})^{3}=8*a^{3*3}=8a^{9}\)When you have a quantity raised to a power, or an exponent, you have to distribute the exponent to each term multiplied.When you multiply two terms that are raised to a power, you add the powers.When you divide two terms that are raised to a power, you subtract the power in the numerator from the power in the denominator.When you have a power raised to a power, you multiply the powers.2. \(r(2a^{3} )=8a^{9} -2(2a^{3})+1\)
Simplify \(2(2a^{3})\)Multiply two times the quantity\(2(2a^{3})=4a^{3}\)3. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)
Answer:
So, if \(r(x)=x^{3} -2x+1\), then \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1=8a^{9} -4a^{3}+1\).
Then the answer is D. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)
Molly is 54 3/4 inches tall. Nancy is 1 1/2 inches taller than Molly and Jane is 1 1/5 inches taller than Nancy. How tall is Jane?
Answer:
Jane is 57 9/20 inches tall.
Step-by-step explanation:
The capacity of a syringe is 0.08 liters. Convert this to milliliters.
Answer:
80 millilitres (mL)
Step-by-step explanation:
Multiply by 1000 because there are 1000 mL in 1 L
Could someone pls help, math exponents
Answer:
c.3 and an exponent of 12
Answer: Give brainly and ill say answer
Step-by-step explanation:
so yeah.
question is in the image below
The perimeter of Sam's string is 178 inches.
Given information:
Sam has a rectangular shaped window.
Length = 65 inches.
Width = 24 inches.
To find the perimeter:
you can use the formula:
Perimeter = 2 x (Length + Width)
Substituting the values into the formula, we have:
Perimeter = 2 x (65 + 24)
Perimeter = 2 x 89
Perimeter = 178 inches
Therefore, the perimeter of the rectangular window is 178 inches.
So, the perimeter of the rectangular window is 178 inches. This means that if you were to walk along the outline of the window, you would cover a total distance of 178 inches. It's important to note that the perimeter represents the total length of all the sides combined, and it is measured in the same unit (in this case, inches) as the length and width of the window.
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What does slope mean?
Slope is a measure of its steepness
Mathematically,
Slope = Rise / Run
Rise = y2 - y1
Run = x2 - x1
Slope = y2 - y1 / x2 - x1
Answer:
Suppose a linear equation describes something (say, population growth). The slope is the rate (say, of growth) and the y-intercept gives the starting value.
Step-by-step explanation:
can someone help me please
Answer:
\( {x}^{4} = 2880\)
Step-by-step explanation:
\( {y}^{2} = 20 \: (eq . \: 1)\)
\( {x}^{2} = {(2 \sqrt{3y)} }^{2} = 12y \)
Putting value of eq. 1 in the following:
\( {x}^{4 } = {(12y)}^{2} = 144{y}^{2} = 144 \times 20 = 2880\)
In a 21 meter race between a tortoise and a hare, the tortoise leaves 8 minutes before the hare. The hare by running at an average speed of 0.5 meter per hour faster than the tortoise, crosses the finish line 4 minutes before the tortoise. What are the average speeds of the tortoise and the hare?
Step-by-step explanation:
Let's call the average speed of the tortoise "t" (in meters per hour) and the average speed of the hare "h" (in meters per hour).
From the problem, we know that:
The tortoise leaves 8 minutes before the hare, so they have a 4-minute head start.
The hare crosses the finish line 4 minutes before the tortoise, so they have a 4-minute lead.
Therefore, the total time it takes for the hare to finish the race is 8 minutes less than the time it takes for the tortoise to finish the race. Let's call this time difference "dt".
The distance the hare runs is 21 meters, and the distance the tortoise runs is also 21 meters, so we have:
h * dt = 21 - t * (dt + 4 minutes)
To solve for the average speeds "t" and "h", we need to convert everything to units of hours. Let's convert 4 minutes to hours:
4 minutes = 4/60 hours = 1/15 hours
So, we can now rewrite the equation in terms of hours:
h * dt = 21 - t * (dt + 1/15 hours)
Rearranging and solving for t, we find:
t = (21 + h * dt) / (dt + 1/15)
Now, the hare runs 0.5 meters per hour faster than the tortoise, so:
h = t + 0.5
Substituting h = t + 0.5 into the equation for t, we get:
t = (21 + (t + 0.5) * dt) / (dt + 1/15)
Solving for t, we find:
t = 40/3 meters per hour
Finally, we can find the average speed of the hare by using h = t + 0.5:
h = 40/3 + 0.5 = 40/3 + 30/60 = 40/3 + 30/3 / 60 = 70/3 meters per hour
So the average speed of the tortoise is 40/3 meters per hour, and the average speed of the hare is 70/3 meters per hour