c) Draw the line 4x + 2y = 8 for values
of x from -2 to 3.
Answers
Answer:
Attached Picture
Step-by-step explanation:
if anything remains unclear, let me know in the comments.
Related Questions
The current of a river is 3 miles per hour. A boat travels to a point 8 miles upstream and back in 2 hours. What is the speed of the boat in still water?
Answers
Given:
The current of a river is 2 miles per hour. A boat travels to a point 8 miles upstream and back in 3 hours.
Required:
What is the speed of the boat in still water?
Explanation:
A boat has to travel 8 miles against the current and 8 miles with the current.
Ustream(against the current) the boat's speed is:
speed in still water - current OR x - 2.
Downstream( with the current) the speed is:
speed in still water + current speed OR x + 2.
We know the distance
OR
The total time is 3 hours
The time upstream + The time downstream = 3 hours
work out the area of this circle take pi to be 3.142 and write down all the digits given by your calculator diameter 13cm
Answers
Area of circle of diameter with 13cm is 132.74
What is area of circle?
The space a circle takes up in a two-dimensional plane is known as the area of the circle.Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. A = r², where r is the circle's radius, is the formula for calculating a circle's surface area. The square unit—for instance, m², cm², in², etc.—is the unit of area. In square units, the area of a circle is equal to r² or d²/4 where (Pi) = 22/7 or 3.14. The ratio of a circle's circumference to its diameter is known as pi (). This unique mathematical constant exists.Given :
Diameter of circle, d = 13cm
Radius of a circle, r = d/2
=13/2
=6.5
Area of circle = πr²
= 3.142 * 6.5 * 6.5
= 132.74
Hence, the Area of circle of diameter with 13cm is 132.74.
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Rose wants to buy a bike and the price was $275. When she goes to the store a second time, she found that the price was parked up by 10% due to an increase in demand. Which stamens below are true? Select all that apply.
Answers
Answer:
She can determine the new cost of the bike by multiplying 275 by 1.1
. Estimate the area of a parallelogram with a base of 3 ¼ yards and a height of 5 ½ yards.
Answers
We are given the dimensions of a parallelogram and are asked to estimate its area
Recall that the area of a parallelogram of base b and height h is given by the formula
\(A=b\cdot h\)So the area of the parallelogram would be
\(3\frac{1}{4}\cdot5\frac{1}{2}\)as 3 1/4 and 5 1/2 are mixed numbers, we need to transform them to fractions
Recall that given a mixed number of the form
\(a\frac{b}{c}\)we can transform it into a fraction by multiplying the whole number by the denominator and adding the result to the numerator while leaving the denominator fixed. In this case, that is
\(a\frac{b}{c}=\frac{a\cdot c+b}{c}\)So, applying this formula to both numbers, we get
\(3\frac{1}{4}=\frac{3\cdot4+1}{4}=\frac{13}{4}\)and
\(5\frac{1}{2}=\frac{5\cdot2+1}{2}=\frac{11}{2}\)so the area of the parallelogram would be
\(\frac{13}{4}\cdot\frac{11}{2}=\frac{143}{8}\approx18\)so the area of the parallelogram is approximately 18 square yards
4. Alex wants to measure lengths of rope for a knot-tying activity at camp What is the best customary unit of measurement for Alex to use to measure the rope? Why?
Answers
The best unit of measurement for Alex to use for the ropes he is going to use at camp would be centimeters because it is a measurement that fits the needs of his knot shop.
What is a unit of measure?A unit of measure is a unit that is used as a reference and international standard on length, weight, height, among others.
In the case of length, there are several units of measurement such as:
KilometresMetersMilesCentimetersMillimetersFor a knot-making workshop in a camp, the ideal would be to have a rope of at least 2 or 3 meters. However, the ideal unit of measurement for teaching about knots is centimeters because knots do not require a large amount of rope to tie.
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what is the distance between points (4,0) and (0,3)1 unit 5 unit7 unit25 unit
Answers
We want to find the distance between the points:
\((4,0)\text{ and }(0,3)\)For doing so, we remember the formula of the distance between two points:
\(d(P,P^{\prime})=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}\)Where P(x₁,y₁) and P'(x₂,y₂). Applying the formula we get:
\(\begin{gathered} d=\sqrt[]{(4-0)^2+(0-3)^2} \\ =\sqrt[]{4^2+3^2} \\ =\sqrt[]{16+9} \\ =\sqrt[]{25} \\ =5 \end{gathered}\)This means that the distance between the points (4, 0) and (0, 3) is 5 units.
What is the simple answer to,12y2-6y2
Answers
Answer:
Final answer
= 6y²
Step-by-step explanation:
12y² - 6y²
= 6y²
-8x+44\geq 60 \quad \maroonC{\text{ AND}} \quad -4x+50 -2x>−2x, is greater than, minus, 2 (Choice B) B x\leq -2x≤−2x, is less than or equal to, minus, 2 (Choice C) C x=-2x=−2x, equals, minus, 2 (Choice D) D There are no solutions (Choice E) E All values of xxx are solutions
Answers
Answer:
Use a website named to get math equation answersStep-by-step explanation:
wuieufheufheufhieuhdsjjdhfjdhjshkjhdjkhjdhfjkdhsjfhjdhskjfds
Determine the number of triangles ABC possible with the given parts.
b = 24, c = 29, B = 43°
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
In general, if the given angle is opposite the shorter of the two given sides, there will be 0 or 2 possible triangles. The attachments show the two possibilities.
__
There will be zero possible triangles if the ratio of sides is less than the sine of the angle. Here, 24/29 ≈ 0.8276, sin(43°) ≈ 0.6820. The ratio of sides is greater, so there are two possible triangles.
If the given angle is opposite the longer of the two given sides, there is one possible triangle. The same is true if the given angle is between the two given sides.
(c) Find four numbers that fit all the rules:
The median is 5
The mode is 5
The range is 1
Answers
1. The median is 5: Since we have four numbers, the median is the average of the two middle numbers. Let's call the two middle numbers x and y. Then, we have:
(x + y) / 2 = 5
2. The mode is 5: The mode is the number that appears most frequently. Since 5 is the mode, at least two of the four numbers must be 5. Let's say that the other two numbers are a and b.
3. The range is 1: The range is the difference between the largest and smallest numbers. Since the range is 1, we have:
max(x, y, a, b) - min(x, y, a, b) = 1
Now we can use these equations to solve for the four numbers:
From equation 1, we have:
x + y = 10
From equation 2, we know that two of the numbers are 5. Without loss of generality, let's assume that x = 5 and y = 5. Then, from equation 1, we have:
5 + 5 = 10
So, we still have:
a + b = 0
From equation 3, we know that the largest number minus the smallest number is 1. Since we have two 5's, either a or b must be the smallest number, and the other must be the largest number. Without loss of generality, let's assume that a is the smallest number and b is the largest number. Then, we have:
b - a = 1
Substituting x = 5 and y = 5 into the first equation, we get:
5 + 5 + a + b = 10
a + b = 0
So, we have:
b = -a
Substituting b = -a into the third equation, we get:
(-a) - a = 1
-2a = 1
a = -1/2
b = -a = 1/2
Therefore, the four numbers that fit all the rules are:
-1/2, 5, 5, 1/2.
The wheel on a scooter completes 124 revolutions and travels 22.4 meters. What is the diameter of the wheel in mm? Use 3.14 for pi and round to the nearest whole millimeter.
Answers
If wheel on a scooter completes 124 revolutions and travels 22.4 meters then diameter of the wheel is 57 mm
Each revolution of the wheel covers a distance equal to the circumference of the wheel.
The diameter of the wheel "d".
The distance covered in 124 revolutions is:
distance = 124 x circumference
= 124 x pi x d
= 124 x 3.14 x d
We know that this distance is equal to 22.4 meters, so we can set up an equation:
124 x 3.14 x d = 22.4
Simplifying and solving for d:
d = 22.4 / (124 x 3.14)
d = 0.057 meters
As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters
d = 57 millimeters
Therefore, the diameter of the wheel is approximately 57 mm.
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Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
Answers
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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Mara uses this equation to determine the value of her investment after t years.
A = 2,200 (1 + 0.03/12) 12t
Mara's principal investment is $________
The interest on Mara's investment is compounded __________times each year.
After 10 years, the value of Mara's investment, rounded to the nearest dollar, will be $__________
Answers
a. Mara's prinicipal investment is $2200
b. The interest on Mara's investment is compounded 12 times each year
c. After 10 years, the value of Mara's investment is $2,986.54
What is Mara's principal investment?Based on the equation provided, we can determine the principal investment, the compounding frequency, and the value after 10 years.
The principal investment is represented by the initial amount, A.
The equation A = 2,200 (1 + 0.03/12)^(12t) indicates that the principal investment is $2,200.
The compounding frequency is determined by the exponent, 12t, in the equation. In this case, it is raised to the power of 12t, which means the interest is compounded 12 times per year.
After 10 years, we can substitute t = 10 into the equation and calculate the value of the investment, rounded to the nearest dollar.
A = 2,200 (1 + 0.03/12)⁽¹²*¹⁰⁾
Simplifying the equation:
A = 2,200 (1 + 0.0025)⁽¹²⁰⁾
Calculating the exponent:
A = 2,200 (1.0025)¹²⁰
A ≈ 2,200 * 1.357
A ≈ 2,986.54
Rounded to the nearest dollar, the value of Mara's investment after 10 years is $2,987.
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Your daughter found three pieces of ribbon in all different colors. Their lengths were 2 meters and 1 decimeter; 3 meters and 9 decimeters; and 6 meters and 4 decimeters. What was the length of the ribbons in all? Give a decimal answer in meters.
Answers
Answer:
convert the lengths to meters
10dm=1m
1dm=0.1m
hence, firs ribbon
2m+0.1m=2.1m
Second Ribbon
3m and 9dm
convert 9dm into Metres we get 0.9m
hence, 3m+0.9m=3.9m
Third Ribbon
6m+0.4m=6.4m
a popular theater has had 399,867,231 visitors since it opened. Which number, written in scientific notation, is the best approximation of the number of visitors
Answers
Answer:
4 x \(10^{8}\)
Step-by-step explanation:
Round the number to
400,000,000
4 x \(10^{8}\)
We moved the decimal 8 places.
Answer:
4 x 10^8 (four times ten to the power of eight) is the best approximation of the number 399,867,231 written in scientific notation.
Step-by-step explanation:
what is 5/8 - 1/10 please help
Answers
Answer:
0.525
Step-by-step explanation:
by using two simple numbers just subtract with a regular calculator <3 If I got it wrong very sorry
ways to select the 7 math help websites
Answers
Answer:
Step-by-step explanation:
If the order you select them is important
nmber of ways = 9! / (9-7)!
= (9*8*7*6*5*4*3*2*1) / (2*1)
= 9*8*7*6*5*4*3
= 181,440.
If the order does not matter:
nmber of ways = 9! / ((9-7)! * 7!)
= 9*8 / 2*1
= 36.
MATH HELP PLEASE HELPPPPPPPPPPPPPPPPP
Answers
Answer:
Hello! answer: 70
These are vertical angles meaning they Will have the same measurements Hope that helps!
Express the following 10√3 as a Single surds
Answers
Answer:
The expression 10√3 can be written as a single surd as (10√3) = (10 √3/1) = (10 √3)¹/¹ = (10√3)^(1/1) = 10√3.
Plot the GNP series, gnp, and then test for a unit root against the alternative that the process is explosive. State your conclusion.
Hint: [in R]
library(astsa)
library(tseries)
head(gnp)
print(gnp)
Answers
there are about millions of multinational and national companies which are working for the better Gross National Product(GNP).
The United States is super power and has multiple resources to maintain itself and the over all economic system. As, there are about millions of multinational and national companies which are working for the better Gross National Product(GNP). As, there is agriculture, car manufacturer, and the military industry for improving and adding the value to the over all GNP of the United States.
The Oil and gas sector is the one major factor for the development of the United State's GNP(Gross National Product). As, the exports of the region is well known to be very high and generates more revenue for the over all system as well.
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The access code of a garage door consists of 4 digits (0 through 9). All digits can be repeated.
Find the number of possible access codes.
Find the probability of randomly selecting the correct access code on the first try.
Find the probability of not selecting the correct access code on the first try.
Answers
Answer:
1
Step-by-step explanation:
a) The number of possible access codes is 1000.
b) The probability of randomly selecting the correct access code on the first try is 1/1000
c) The probability of not selecting the correct access code on the first try is 999/1000.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
a) There are 10 digits from 0 to 9.
First digit= 10 ways
Second digit= 10 ways
Third Digit = 10 ways
Then, possible outcomes
= 10 x 10 x 10
= 1000
b) Exactly 1 out of 1000 codes will be correct
Favorable outcomes= 1
so, probability of randomly selecting the correct access code on the first try
= 1/1000
c) The probability of not selecting the correct access code on the first try.
=1- 1/1000
= 999/1000
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A machine fills containers with 35 ounces of raisins
Answers
The correct graph will be the first one (A)
32 base 4 plus 12 base 4
Answers
Answer:
110 base 4
Step-by-step explanation:
The answer is 110 base 4
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8%
interest, what is the immediate effect on the money supply?
A. It is increased by $64,800.
B. It is decreased by $60,000.
C. It is increased by $60,000.
D. It is decreased by $64,800.
Answers
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8% interest, the immediate effect on the money supply is B. It is decreased by $60,000.
What decreases the money supply?One of the monetary factors that decreases the money supply in the economic is when the Federal Reserve raises the banks' reserve requirements.
Another factor that can decrease the money supply is the sale of treasury bonds to banks.
Raising the interest rates also decreases the money supply.
Thus, by selling $60,000 in Treasury bonds to a bank at 8% interest, it decreases the money supply.
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can anyone help me? :)
Answers
Answer:
7\11
Step-by-step explanation:
you just multiply to get an integer then convert that
What is the answer?? 3(b-5)<-2b
Answers
Answer:
b < 3
Step-by-step explanation:
3 ( b - 5 ) < - 2b
3 ( b ) - 3 ( 5 ) < - 2b
3b - 15 < - 2b
3b + 2b < 15
5b < 15
b < 15/5
b < 3
3(b-5)<-2b
3b<-2b+5
Add the 2b over.
5b<5
Divide by 5.
b<1
Check by plugging in.
3(1-5)<-2(1)
3(-4)<-2
-12<-2
1 is a possibly solution to the inequality.
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
Answers
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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Name and define the two areas of statistics.
Answers
Answer:The two major areas of statistics are known as descriptive statistics, which describes the properties of sample and population data, and inferential statistics, which uses those properties to test hypotheses and draw conclusions.
In a class of 20 kindergarteners, 10 are wearing blue shirts, 5 are wearing green shirts, and 5 are wearing red shirts. A group of 10 kindergarteners is chosen at random to go outside for play time. What is the probability that exactly two of the group are wearing red shirts
Answers
as there are 30 children and from 30 children 2 will be picked (which will than be 2/30)
but if we simplify that by 2, than that will lead to the ANSWER OF: 1/15
Drag each statement to show whether it is true, based on
the graph
Answers
Answer:
see attached
Step-by-step explanation:
The independent variable is the one displayed on the horizontal axis: pounds. The dependent variable is the one shown on the vertical axis: cost.
Then the ordered pair shown represents ...
(pound, cost) = (0.65, 2.20)
That is, the cost of 0.65 pounds is $2.20. The cost per pound is found by dividing cost by pounds:
price per pound = $2.20/0.65 lb
__
There is no information shown regarding the weight or cost of a bag of almonds.
The categorization is shown in the attachment.
