Answer:
1 3
y = - ----- x + -----
2 2
Step-by-step explanation:
x + 2y = 3
-x -x
--------------------
2y = -x + 3
÷2 ÷2 ÷2
--------------------
1 3
y = - ----- x + -----
2 2
I hope this helps!
what is the answer for this maths watch question?
Answer: 7
Step-by-step explanation:
Combine like terms
7^15/7/^14 = 7
Jayden went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each frozen dinner has 650 mg of sodium. Jayden purchased a total of 13 cans of soup and frozen dinners which collectively contain 4400 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.
The number of cans are 9 and number of frozen food is 4.
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given that, Jayden bought cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each frozen dinner has 650 mg of sodium. Jayden purchased a total of 13 cans of soup and frozen dinners which collectively contain 4400 mg of sodium.
Let she bought x cans and y frozen food.
Therefore, establishing the equations,
x + y = 13
y = 13-x...(i)
200x + 650y = 4400...(ii)
Put eq(i) in eq(ii)
200x + 650(13-x) = 4400
200x + 8450 - 650x = 4400
450x = 4050
x = 9
Put x = 9 in eq(I)
y = 13-9
y = 4
Hence, the number of cans are 9 and number of frozen food is 4.
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What is simplest radical form in math?
The radical form of a number involves a square root. The number under the square root is a natural number or real number.
What is a radical?
The square root or nth root is represented by the symbol. Expression with a square root is referred to as a radical expression. Radicand: A value or phrase contained within the radical symbol. An equation with radical expressions and variables as radicands is referred to as a radical equation.
The term "simplest radical form" refers to an algebraic expression's or number's most basic radical form. If the number or algebraic expression under the radical has no factors that are perfect nth powers, then the radical is said to be in its simplest radical form.
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Find The Length S Of The Circular Arc. (Assume R = 6 And 0 = 126º.) S = O
The required length of the arc of the circle is approximately 13.08 cm.
What is arc?In mathematics, an arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.
According to question:The length of an arc of a circle is given by the formula:
L = θ * r / 180 * π
Where θ is the central angle in radians, r is the radius, and π is pi.
In your case, the radius of the circle is 6, and the central angle is 126°, so we need to first convert 126° to radians:
θ = 126° * π / 180 = 2.18 radians
Substituting the values in the formula, we get:
L = θ * r / 180 * π = 2.18 * 6 / 180 * π = 2.18 * 6 / π = 13.08 cm
So the length of the arc of the circle with radius 6 and central angle 126° is approximately 13.08 cm.
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Write a compound inequality that represents the annual profits P ( in millions or dollars) from 2006 to 2013
Using inequality views, the compound inequality is given by:
50 ≤ P ≤ 90
An inequality is said to be compounded if it includes two terms, for example:a ≤ x ≤ b
Which has the following interpretation: x is more than a and x is less than b.From the graph, the minimum profit, in millions of dollars, was 50, in 2009.The maximum profit was 90, in 2012.From this, a compound inequality can be written, that the profit is more than 50 and less than 90, thus:50 ≤ P ≤ 90
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After it has been harvested, corn stored at a particular temperature will lose market value at a rate of 7% per day. If a corn harvest with 92389 is being stored at the temperature, what will it’s market value be
in 5 days?
Corn's market value in 5 days will be 64273.95.
What is exponential decay function?
A exponential decay is a function that, as the name implies, decays exponentially. So it decays fast at the beginning and slower as the value of the variable increases.
The form of the general exponential decay is:
f(x) = A*(r)ˣ
r is rate
A=initial value
Exponential decay:
y=a(1-r)ᵗ
a= initial value, r in decimal = 0.07, t = 5 days
y= 92389 (1-0.07)⁵
y= 92389(0.93)⁵
y= 64273.95
Corn's market value in 5 days will be 64273.95
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List all values c guaranteed by the Mean Value Theorem forf(x)=x3+x2−4x+2on the interval[−1,3]
The Mean Value Theorem guarantees that the values of c for f(x)=x^3+x^2-4x+2 on the interval [1,3] are [7,9].
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.
Here,
f(c)=f'(b)-f'(a)/(b-a)
f(x)=x^3+x^2−4x+2
f'(x)=3x²+2x-4
x=-1, 3
f'(-1)=3-2-4
=-3
f'(3)=27+6-4
=29
f(c)=29+3/3+1
=32/4
f(c)=8
=[7,9]
The values of c guaranteed by the Mean Value Theorem for f(x)=x^3+x^2−4x+2 on the interval [−1,3] is [7,9].
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people attending a basketball game either supported the home team or visiting team. Of 2940 of the people attending supported the home team and 560 supported the visiting team, what percentage supported the home team?
The required 84% of the people attending the basketball game supported the home team.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
To find the percentage of people who supported the home team, we need to calculate the proportion of people supporting the home team and convert it to a percentage.
The total number of people attending the game is,
2940 + 560 = 3500.
The proportion of people supporting the home team is,
= 2940 / 3500
= 0.84.
To convert this proportion to a percentage, we multiply it by 100:
= 0.84 × 100 = 84%
Thus, 84% of the people attending the basketball game supported the home team.
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A simple random sample of items resulted in a sample mean of. The population standard deviation is.
Answer: n/a
Step-by-step explanation:
there are no numerical values given to derive an answer from.
to find the mean, take the sum of all numbers and divide it by the number of added numbers.
for the standard deviation, subtract every data point from the mean and square it. add all of those together and divide it by the number of data points. then find the square root of that number
round answers to the nearest tenth
A. the value of x = 6.5( nearest tenth)
B. the value of x = 8.0 ( nearest tenth)
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Sin(tetha) = opp/hypotenuse
cos (tetha) = adj/hyp
tan (tetha) = opp/adj
in the first figure,
Tan22 = x/16
x =tan 22 × 16
x = 6.5(nearest tenth)
in the second figure,
sin42 =x/12
x = sin42× 12
x = 8.0 ( nearest tenth)
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What is a compound angle
1. (D) Which of the following statements is true?
Explain your answer!
A.
B.
C.
13
19
13
19
13
19
2
2|22|3
Taking LCM and comparing the values we see that: 39/57 > 38/57. Hence, option C is the correct statement.
What is LCM?In mathematics, the value that is equally divided by the two supplied numbers is known as the LCM of any two. Least Common Multiple is its full name. Another name for it is the Least Common Divisor (LCD).
When the fractions' denominators differ, LCM can also be used to add or subtract any 2 fractions. LCM is used to make the denominators common when doing any arithmetic operations using fractions, such as addition and subtraction.
The two values are:
13/ 19 and 2/3
Taking LCM we have:
13(3)/ 19(3) and 2(19) / 3(19)
39/ 57 and 38/57
Hence, comparing the values we see that:
39/57 > 38/57
Option C is the correct answer.
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if an aircraft is certificated with 275 seats, but only 249 passengers are aboard for that flight segment, how many flight attendants are required? group of answer choices 6 4 7 5
5 flight attendants are required.
The number of flight attendants required on an aircraft is determined by regulatory agencies such as the Federal Aviation Administration (FAA) in the United States and the European Aviation Safety Agency (EASA) in Europe.
The number of flight attendants depends on several factors, including the type of aircraft, the number of passenger seats, the length of the flight, and the number of passenger exits.
The number of flight attendants required can be determined by the following formula:
The minimum number of flight attendants = (N / 50) + 1 where N is the number of passenger seats.
So, for an aircraft with 275 seats and 249 passengers:
(249 / 50) + 1
= 5 flight attendants are required.
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Jimmy begins at the house. He walks to the horse barn. Then he walks 3 units up and 4 units right before returning back to the house. List the ordered pairs of the places jimmy visits in he order he visits them
There are 3 ordered pairs of the places jimmy visits in the order he visits them.
An ordered pair is a pair that is formed by two elements and are separated by a comma and written inside the parenthesis.
An example of ordered pair is (x,y).
where x is called the first element and y is called the second element of the ordered pair.
If we consider 2 order pairs the first-order pair is not equal to the second-order pair.
Example: (x,y) [tex]\neq[/tex] (y,x)
Now as per the diagram, jimmy has started at home next he walks to the horse which is the intersection of (1,1) points.
After then he walks 3 units up which is (1,3) which reaches the horse barn from that point he is supposed to move 4 units right and reached (5,6) At the Storage barn.
so the order pairs are:
(1,1) - At the house
(1,3) - At the horse barn
(5,6) - At the Storage barn
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Help Please!! thanksssss
The volume of the given object would be the addition of the volume of the cone and the volume of the rectangular prism = 3,648 in³.
How to calculate the volume of the object?The volume of cone = v = πr²h/3
where π = 3
r = 8/2 = 4ft
h = 12ft
Volume = 3× 4² × 12/3
= 576/3 = 192ft³
The volume of the rectangular prism = l×w×h
where;
l = 7ft
w = 2ft
h = 8ft
volume = 7×2×8 = 112ft³
Therefore the volume of the object = 192+112 = 304ft³
To convert to inches the following is carried out;
1 ft = 12 inches
304 ft = 304× 12 = 3,648 in³
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Question 3 of 10
Find the solution(s) to x2 - 12x + 36 = 0.
A. x = 6 and x = -6
B. x = 6 only
C. x = 4 and x = 9
OD. x = -2 and x = 18
SUBMI
Answer: B. x=6 only
Explanation: A fast way to check these kind of multiple choice questions is to just plug in one of the values into the equation and see if it works. For example you can put (6^2)-(12×6)+36 and it would equal 0 making the equation true. All other options wouldn't have equaled 0 so it would make x=6 the only right option.
Which of the following notations correctly describe the end behavior of the
polynomial graphed below?
Answer:
A
Step-by-step explanation:
As x gets larger, the y-values became more and more negative. This means that as x approach infinity, y approaches negative infinity.
On the other side, as x gets smaller, the y-value also gets more and more negative. This means as x approaches negative infinity, y also approaches negative infinity.
This is shown in answer option A.
Try again
A party rental company ha chair and table for rent. The total cot to rent 5 chair 3 and table i 36$. The total cot to rent 2 chair and 6 table i 54$. What i the cot to rent each chair and table?
The cost to rent each chair and table is $7.2 and $6.6 respectively.
What are Simultaneous Equations?Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables that satisfies all such equations. This implies that the simultaneous equations have a common solution.
Let chairs = c
Let tables = t
5c + 3t = 36 --- 1
2c + 6t = 54 --- 2
From equation 2
2c + 6t = 54
c = 27 - 3t
Substitute c in equation 1
5(27 - 3t) = 36
135 - 15t = 36
135 - 36 = 15t
t = 99/15
t = $6.6
c = 27 - 3(6.6)
c = 27 - 19.8
c = $7.2
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Figure ABCD has vertices A(1, 1), B(1, 4), C(4, 4), and D(4, 1). What are the coordinates of the vertices of Figure
A’B’C’D’ after a reflection across the line x = –2 and a translation 3 units up? Drag numbers to complete the coordinates.
Numbers may be used once, more than once, or not at all.
Answer:A(-5,4),B(-5,6),C(-7,6),D(-7,4)
Step-by-step explanation:If you draw a big enough graph it is easy to do.
which scale is based on tenths and hundredths of an inch?
The decimal inch scale is based on tenths and hundredths of an inch. This scale is a common unit of measurement used for industrial, mechanical, and construction purposes.
The formula for a decimal inch is 1 inch = 0.1 decimal inch. This means that every 0.1 decimal inch is equal to 1 inch. To calculate a decimal inch, simply divide the number of inches by 10. The decimal inch scale is based on tenths and hundredths of an inch. This scale is a common unit of measurement used for industrial, mechanical, and construction purposes. For example, if you have a measurement of 6 inches, the decimal inch measurement would be 0.6. You can also convert decimal inches to inches by multiplying the decimal number by 10. For example, if you have a measurement of 0.6 decimal inches, the inch measurement would be 6 inches.
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ANSWERING ANY QUESTIONS FOR BRAINLIEST ANY QUESTION U MIGHT BE STUCK ON !!!
Step-by-step explanation:
Is power of mind is truee
The concept of the power of the mind is a widely debated topic, with varying opinions and perspectives. Some people believe in the power of positive thinking and visualization to achieve goals and create positive changes in one's life. Others may be more skeptical and question the scientific evidence supporting these ideas. Ultimately, whether or not the power of the mind is "true" is subjective and depends on one's personal beliefs and experiences.
the scatter plot shows hikers elevation above sea level during a hike from the base of the top of a mountain equation of a trend line for the hikers elevation is Y = 8.16 X + 695 where X represents the number of minutes and Y represents the hikers of elevation and feet use the equation of the trend line to estimate the hikers the elevation after 150 minutes
The equation of the trend line to estimate the hiker's elevation after 165 minutes is 2291.3 feet.
What is linear equation ?
Linear equation can be defined as equation in which highest degree is one.
Given that,
The equation of a trend line for the hiker's elevation is y = 9.82x + 671.
We have to determine,
The equation of the trend line to estimate the hiker's elevation after 165 minutes.
According to the question,
The equation of a trend line for the hiker's elevation is y = 9.82x + 671.
Where, x represents the number of minutes and y represents the hiker's elevation in feet.
To find the trend line to estimate the hiker's elevation after 165 minutes, substitute the value of x = 165 minute in the given equation.
Hence, The equation of the trend line to estimate the hiker's elevation after 165 minutes is 2291.3 feet.
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The sum of 2 and y translate phrase into an algebraic question
The algebraic expression is 2 + y.
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,
Sum of 2 and y
This can be written as,
2 + y
Thus,
The expression is 2 + y.
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18 is the quotient of a number and 6. What is the number
If 18 is the quotient of a number and 6, the value of the unknown number is 108.
What is the unknown number?Given the statement in the question;
18 is the quotient of a number and 6
Let the unknown number be represented by 'x'.
The quotient of a number and 6 the same as x / 6
Hence
18 = x / 6
Solve for x
Cross multiply the equation
18 × 6 = x
x = 18 × 6
Multiply 18 and 6
x = 108
Therefore, the value of x is 108.
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Miguel has 14 action videos and 21
adventure videos. Use a ratio to compare the number of action videos and the number of adventure videos.
The ratio of action videos to adventure videos is 14:21.
What is the ratio of action videos to adventure videos?This question uses the concept of ratios, which is a comparison of two or more values. Ratios are used to compare quantities in a variety of situations.
Count the number of action videos and the number of adventure videos. In this example, there are 14 action videos and 21 adventure videos.
Create a ratio by writing the number of action videos first, followed by a colon, followed by the number of adventure videos. In this example, the ratio is 14:21.
Simplify the ratio if needed. In this example, the ratio is already in its simplest form.
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suppose that [infinity] ∑ n = 0 c n 1 = 9 . find the exact value of c . enter your answer as a fraction, not a decimal.
Since the sum is given to be equal to 9, then the exact value of c must be equal to 9/1.
The given equation is ∑ n = 0 c n 1 = 9. This means that the sum of all of the terms beginning at n = 0 and continuing for infinity is equal to 9. Therefore, the exact value of c must be equal to 9/1. In other words, c must have a value of 9 in order for the given equation to be true. As such, the exact value of c is 9/1. Since the sum is given to be equal to 9, then the exact value of c must be equal to 9/1.
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Gabby uses a scissor to cut `\frac{5}{16}` inch off the top of a photo and `\frac{3}{8}` inch off the bottom. How much shorter is the total height of the photo now? Explain.
The length of the photo is shorter by 11/16 inches.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Top cutoff length = 5/16 inch
Bottom cutoff length = 3/8 inch
Now,
The length of the photo is shorter by:
= 5/16 + 3/8
= (5 + 6) / 16
= 11/16 inch
Thus,
The photo is shorter by 11/16 inches.
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What is the linear velocity in miles per hour of the tip of a lawnmower blade spinning at 3000 revolutions per minute in a lawnmower that cuts a path that is 24 inches wide?
Answer:v = ωr
v = speed in miles per hour (mph)
is the angle's speed in radians per hour.
r is the radius in miles.
(2400-rpm/60 minutes) =
(two radians per rev) Equals __ radians per hour
r=16 inches/2 = (8 inches)
(1/5280 miles/ft) (1/12 feet/in) = ______ miles
v = r = _ miles per hour
Step-by-step explanation:
v = ωr
v = speed in miles per hour (mph)
is the angle's speed in radians per hour.
r is the radius in miles.
(2400-rpm/60 minutes) =
(two radians per rev) Equals __ radians per hour
r=16 inches/2 = (8 inches)
(1/5280 miles/ft) (1/12 feet/in) = ______ miles
v = r = _ miles per hour
a dog in an open field runs 12.0 m east and then 27.0 m in a direction 54.0 ∘ west of north. how far must the dog then run to end up 10.0 m south of her original starting point
A dog in an open field runs 12.0 m east and then 29.0 m in a direction 51.0 west of north, 69.50 south of east or 20.50 east of south must the dog then run to end up 10.0m south of her original starting point.
A dog in an open field runs 12.0 m east and then 27.0 m in a direction 54.0 degree west of north.
The dog's displacement vector is d(1) = [tex]12 \hat{i} + 29 [-sin51^{o} \hat{i} + cos51^{o} \hat{j}][/tex]
Thus, d(1) = [tex]12 \hat{i} + (-22.5 ) \hat{i} + (18.2) \hat{j}[/tex]
d(1) = [tex]-10.5 \hat{i} + 18.2 \hat{j}[/tex]
The dog's overall displacement is then
P = -10[tex]\hat{j}[/tex] - d(1)
P = [tex]-10 \hat{j} - [-10.5 \hat{i} + 18.2 \hat{j}][/tex]
P = [tex]10.5 \hat{i} - 28.2 \hat{j}[/tex]
The dog's direction is
θ = [tex]tan^{-1}[/tex][(28.2/10.5)]
θ = 69.50 south of east or 20.50 east of south
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Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. [2 -1 -4 2 6 -3] x = x_2 + X_3 (Type an integer or fraction for each matrix element.)
A general solution to the system Ax = 0 in parametric vector form is given by:
X = X_2 * [1 0 1 0 0] + X_3 * [0 1 0 1 0]
How to find all solutions of Ax = 0 in parametric vector form?The matrix [2 -1 -4 2 6 -3] can be row-reduced to the row-echelon form [2 -1 -4 0 6 -9], which has a pivot in the first, second and fourth columns. This implies that the columns with zero entries in the row-echelon form correspond to free variables in the solution.
Since there are two free variables in the row-echelon form, the solution to the homogeneous linear system Ax = 0 will be in the form of a parametric vector, where X_2 and X_3 are the free variables and X_1, X_4, and X_5 are expressed in terms of X_2 and X_3.
A general solution to the system Ax = 0 in parametric vector form is given by:
X = X_2 * [1 0 1 0 0] + X_3 * [0 1 0 1 0]
where X_2 and X_3 are arbitrary constants. This represents a two-dimensional subspace in R^5, which consists of all linear combinations of the two linearly independent vectors [1 0 1 0 0] and [0 1 0 1 0].
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