Hello! To calculate the slope we have to use the formula below:
\(slope=\frac{y_2-y_1}{x_2-x_1}\)Considering (x1, y1) = (-6, 6) and (x2, y2) = (5, 6), we have to replace it in the formula:
\(slope=\frac{6-6_{}}{5_{}-(-6)_{}}=\frac{0}{5+6}=\frac{0}{11}=0\)As the slope is 0, the line will not vary (will keep constant).
Which list shows the rational numbers in order from greatest to least?
The list that shows the rational numbers in order from greatest to least is -7 1/3, 35% , 1/8 , -3 , -7 1/3.
How can the list of rational numbers be determined?We will need to covert the numbers to decimals one after the other so as to be able to arrange it in the required order.
The first number is -7 1/3 = -7.33
Thesecond nmber -3 = -3.00
The third number 1/8 = 0.125
Fourth number = 35%= 35/100 = 0.35
Fifth = 0.6 = 0.60
Moving from greatest to least we can see that -7.33< -3.00< 0.125 < 0.35 <0.60
Hence, option J is correct
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Please answer this is due today
"In a fruit salad, there are 12 strawberries, 14 grapes, and 4 mangos. Find the ratio of mangos to grapes. Write the ratio using a colon in the simplest form"
Answer:
The ratio of mangos to grapes is 2:7.
Step-by-step explanation:
The original ratio of mangos to grapes would be 4:14. When it says mangos to grapes, it means mangos first, then grapes. If it said grapes to mangos, the grapes would go first. But, in this case the mangos go first. Now, we don't worry about the strawberries because it says to find the ratio of mangos to grapes, which is 4:14. Now, it says to simplify it to the simplest form. So, we can do this by dividing both numbers by the same number down as far as they can go as a whole number (a number without a decimal):
4 ÷ 2 = 2
14 ÷ 2 = 7
So, this is as far as we can go. So, our final answer is 2:7.
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Answer:
2:7
Step-by-step explanation:
4 mangos for every 14 grapes
the ratio right now is 4:14 this can be simplified by dividing by 2
4 divided by 2 = 2 ( 2 x 2 = 4 )
14 divided by 4 = 7 ( 7 x 2= 14)
Now the ratio is 2:7, or 2 mangos for every 7 grapes we know this is right because in order to use the amount the recipe calls for you need to double the answer
(adding separately is easier)
2+2 = 4
7+7 = 14
= 4:14
The price of gasoline drops from $1.00 per
gallon to 95° per gallon. What is the percent of
decrease?
What is the volume of the sphere with the radius of 9 and round to the hundredths
Answer:
3046.389 units
Step-by-step explanation:
Given data
r=9units
Volume of sphere
V= 4/3πr^3
substitute
V= 4/3*3.142*9^3
V=1.33*3.142*729
V=3046.388 units
Hence the volume is 3046.389 units
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Answer:
uihuvbuh ufsghiusgu 8y39 8y3yy894y87y48jhfjhjbvhjjavjlh ailhli
Step-by-step explanation:
The government uses a variety of methods to estimate how the general public is feeling about the economy. A researcher wants to conduct a study to determine whether people who live in his state are representative of the latest government results. What type of study should the researcher use? Explain.
Using appropriate sampling techniques, and ensuring a diverse sample, the researcher can minimize these biases and increase the likelihood of obtaining valid and representative results.
The researcher should use a survey-based study to determine whether people who live in his state are representative of the latest government results regarding public sentiment about the economy.
A survey-based study involves collecting data directly from individuals through questionnaires or interviews. In this case, the researcher can design a survey that includes questions about people's opinions, attitudes, and perceptions regarding the economy. The survey should be carefully constructed to cover the same or similar aspects as the methods used by the government to estimate public sentiment.
By administering the survey to a representative sample of individuals living in the state, the researcher can gather data that reflects the opinions and feelings of the general public in that specific geographical area. To ensure representativeness, the sample should be diverse and inclusive, covering different demographic groups such as age, gender, occupation, income levels, and geographical locations within the state.
Once the survey data is collected, the researcher can compare the findings with the latest government results. If the responses from the state's residents align with the government's estimates, it suggests that the state's population is representative of the general sentiment. On the other hand, if there are significant discrepancies between the survey results and the government's findings, it indicates that the state's residents may have different views or experiences compared to the overall population.
It's worth noting that survey-based studies have limitations, such as potential sampling biases or response biases, which can affect the generalizability of the findings. However, by carefully designing the survey, using appropriate sampling techniques, and ensuring a diverse sample, the researcher can minimize these biases and increase the likelihood of obtaining valid and representative results.
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Loc can mow his entire lawn in 20 minutes; Loc's roommate Reza needs 30 minutes to mow the entire lawn. If Loc starts mowing at 1:00, mows for five minutes and then Reza starts to help with his own mower, at what time will they finish mowing the lawn
Loc and Reza together will finish the entire mowing process on the lawn at 1:14 p.m.
Calculation of total mowing time takenLoc mow the total area in 20 mins.
So, his pace is 1 lawn / 20 minutes or 1/20th of a lawn each minute.
Reza's pace is 1 lawn / 30 minutes, or 1/30th of a lawn each minute because he can mow the grass in that amount of time.
Reza joins Loc after he has been mowing for 5 minutes. He can mow 1/20th of the grass in these 5 minutes, which is 5/20th of the lawn =1/4th lawn
There is currently just
1-1/4=3/4 of the lawn left to complete.
We may construct the following equation by assuming that they mow together for x mins:
1/20x + 1/30x = 3/4 [amount done by Loc + Reza = total amount]
⇒(3x+2x)/60x = 3/4
⇒5x/60 = 3/4
⇒x/12= 3/4
⇒4x=36
⇒x= 9 mins
So, when they collaborate, they can complete the lawn in 9 minutes.
Hence, Loc mows alone for 9+5 mins = 14 mins
Therefore, it is concluded that starting at 1 p.m they finish the mowing at 1:14 p.m.
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The design plans for a new concert hall show elevations relative to ground level at 0 feet. The elevation of the balcony floor is 37 feet, and the elevation of the basement floor is -17 feet. How many feet above ground level is the balcony floor?
Answer: The bacony floor is 37 feet above the ground floor.
Step-by-step explanation:
Here, the ground level is marked as 0 feet.
The elevation of the balcony floor is 37 feet.
The elevation of the basement floor is -17 feet.
Since elevations relative to ground level at 0 feet.
i.e. elevation of balcony floor is same as the distance of balcony floor from ground.
That means the bacony floor is 37 feet above the ground floor.
Hence, the bacony floor is 37 feet above the ground floor.
Jaoquin buys 3 dozen lightbulbs. After changing the lightbulbs in his house, he has 15 lightbulbs left. How many lightbulbs did he use?
Answer:
21
Step-by-step explanation:
1 dozen=12
3 dozen= 36
15-36=21
Why is subtracting an expression similar to distributing a –1?
a. You increase each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.
b. You multiply each term inside the parentheses by –1 in order to add each term, since subtraction is the multiplicative inverse.
c. You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the multiplicative inverse.
d. You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.
Answer:
1+. -1 is 0. a
Step-by-step explanation:
Ii I'm god uhh
which term can be used to describe the relationship between <A and <B
A.Complementary
B.Supplementary
C.Vertical
D.Acute
(look at the picture)
Answer:
D. Acute
Step-by-step explanation:
Acute because both <A and <B are less then 90 degrees
Hope this helps :).
Answer:
Option A
Step-by-step explanation:
Given :-
A line is given which has three angles a , b and 90° .We need to find the relationship between a and b. Also we know that the measure of angle of straight line is 180 ° .
According to Question :-
\(:\implies\) a + b + 90° = 180°
\(:\implies\) a + b = 180° - 90°
\(:\implies\) a + b = 90°
Hence the angles a and b are complementary.The linear equation y = negative 2 x + 4 is represented on the graph below.
On a coordinate plane, a line goes through (0, 4) and (2, 0).
A second linear equation is represented by the data in the table.
x
y
–4
–3
0
–1
2
0
6
2
What is the solution to the system of equations?
(2, 0)
(0, 4)
(0, –1)
(4, –4)
The solution to the system of equations will be;
⇒ (2, 0)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The first equation is,
y = - 2x + 4
And, A line goes through (0, 4) and (2, 0).
Now,
For the second linear equation;
The coordinates are,
(-4, -3) (0, -1) , (2, 0) , (6, 2)
Hence, The equation of line passes through the points (-4, -3) and (0, -1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - (-3)) / (0 - (-4))
m = 2 / 4
m = 1/2
Thus, The equation of line with slope 1/2 is,
⇒ y - (-3)= 1/2 (x - (-4))
⇒ y + 3 = 1/2 (x + 4)
⇒ y = 1/2x + 2 - 3
⇒ y = 1/2x - 1
Now, We find the value of system of equations;
y = - 2x + 4
y = 1/2x - 1
Solve both above equation, we get;
1/2x - 1 = - 2x + 4
1/2x + 2x = 4 + 1
5/2x = 5
x = 2
And, y = 1/2 (2) - 1 = 0
Thus, The solution to the system of equations will be;
⇒ (2, 0)
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Answer:
A
Step-by-step explanation:
The width of a rectangle measures (9h - 1) centimeters, and its length measures (2h – 4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? 0-2 + 8h Submit Answer 0 -10 + 22h oh_5+ -5 + 11h O 16h - 4
Answer:
P = 22h - 10Step-by-step explanation:
Perimeter formula:
P = 2(l + w)Substitute the measures:
P = 2(9h - 1 + 2h - 4) = 2(11h - 5) = 22h - 10The answer options are unclear so you choose which is same with above.
Answer:
Perimeter of the Rectangle = 2 × ( Length + Width )
Here,
Width = ( 9h - 1 ) centimetres
Length = ( 2h - 4 ) centimetres
Perimeter = 2 × ( 2h - 4 + 9h - 1 )
Perimeter = 2 × ( 11h - 5 )
Perimeter = ( 22h - 10 ) centimetres
( 22h - 10 ) centimetres is the right answer.I really need help please someone
Answer:
B is the answer because if you put in a calculation that what you get
if a circle has a diameter of 46 centimeter what is the area of the circle
math problems she has completed.
Julie's Math
Assignments
Number of Problems
Completed
3
2 4
6
Number of Minutes
Worked
Which statement identifies the correct slope and provides the correct interpretation of the slope for this situation?
8
3
The slope of the line is so Julie completes 10 problems in 3 minutes.
10'
The slope of the line is approximately 1.36. Now let's interpret the meaning of this slope.
Based on the given slope, we can estimate that Julie would complete approximately 4.08 problems in 3 minutes.
The given table shows Julie's math assignments and the number of problems she completed for each assignment, as well as the number of minutes she worked. To find the slope and interpret its meaning, we need to calculate the rate at which Julie completes problems per minute.
First, we'll calculate the average rate of completing problems by dividing the total number of problems completed by the total number of minutes worked:
Average Rate = Total Number of Problems Completed / Total Number of Minutes Worked
Total Number of Problems Completed = (3 + 2 + 4 + 6) = 15
Total Number of Minutes Worked = 8 + 3 = 11
Average Rate = 15 / 11
Simplifying the fraction, we get:
Average Rate = 1.36 (rounded to two decimal places)
Therefore, the slope of the line is approximately 1.36. Now let's interpret the meaning of this slope.
Interpretation: The slope of 1.36 means that Julie completes approximately 1.36 problems per minute, on average. This implies that for every minute she works, she completes around 1.36 problems. However, it's important to note that the slope represents an average rate, so Julie's actual rate may vary from minute to minute.
To put it in context, if Julie works for 3 minutes, we can estimate the number of problems she would complete by multiplying the slope by the number of minutes:
Number of Problems = Slope × Number of Minutes
Number of Problems = 1.36 × 3
Number of Problems ≈ 4.08
Therefore, based on the given slope, we can estimate that Julie would complete approximately 4.08 problems in 3 minutes.
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Find the value of t in the interval [0, 2n) that satisfies the given equation.
Csc t = -2, cot t > 0
a. ㅠ/6
b. 5π/ 6
c. 7π/6
d. No Solution
Therefore, the value of t in the interval [0, 2π) that satisfies csc(t) = -2 and cot(t) > 0 is t = 7π/6.
To find the value of t in the interval [0, 2π) that satisfies the equation csc(t) = -2 and cot(t) > 0, we can use the following trigonometric identities:
csc(t) = 1/sin(t)
cot(t) = cos(t)/sin(t)
From the given equation csc(t) = -2, we have:
1/sin(t) = -2
Multiplying both sides by sin(t), we get:
1 = -2sin(t)
Dividing both sides by -2, we have:
sin(t) = -1/2
From the equation cot(t) > 0, we know that cot(t) = cos(t)/sin(t) is positive. Since sin(t) is negative (-1/2), cos(t) must be positive.
From the unit circle or trigonometric values, we know that sin(t) = -1/2 is true for t = 7π/6 and t = 11π/6.
Since we are looking for a value of t in the interval [0, 2π), the only solution that satisfies the given conditions is t = 7π/6.
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Amanda and Ameilio are sharing 72 candies in the ratio of 5:7 respectively. How many candies will Ameilia receive
Answer:
Ameilia will receive 42 candles.
Step-by-step explanation:
5+7=12
72/12=6
6*7=42
Ameilia will recieve 42 candles.
6*5=30
Amanda will recieve 30 candles.
hope this helped have an amazing day! :)
∠A=5x−5,∠B=3x+13=180
Answer:
x=9
Step-by-step explanation:
5x - 5(3x +13)=0
5x - 3x - 13 - 5 = 0
2x -18= 0
x=18/2
x=9
What is the rule for the reflection?
A company sells lab equipment. The daily revenue and costs are modeled by the functions below where x is the number of units sold.
Revenue: R(x) = -0.32x^2 + 270x
Costs: C(x) = 70x +52
The maximum profit is achieved when approximately 312.5 units of lab equipment are sold.
The revenue function R(x) represents the amount of money the company earns from selling x units of lab equipment. It is given by the equation:
R(x) = -0.32x^2 + 270x
The costs function C(x) represents the expenses incurred by the company for producing and selling x units of lab equipment. It is given by the equation:
C(x) = 70x + 52
To determine the company's profit, we subtract the costs from the revenue:
Profit = Revenue - Costs
P(x) = R(x) - C(x)
Substituting the given revenue and costs functions:
P(x) = (\(-0.32x^2 + 270x)\) - (70x + 52)
Simplifying the equation:
P(x) = -0.32x^2 + 270x - 70x - 52
P(x) = -\(0.32x^2\)+ 200x - 52
The profit function P(x) represents the amount of money the company makes from selling x units of lab equipment after deducting the costs. It is a quadratic function with a negative coefficient for the x^2 term, indicating a downward-opening parabola. The vertex of the parabola represents the maximum profit the company can achieve.
To find the maximum profit and the corresponding number of units sold, we can use the vertex formula:
x = -b / (2a)
For the profit function P(x) = -\(0.32x^2 + 200x\)- 52, a = -0.32 and b = 200.
x = -200 / (2 * -0.32)
x = 312.5
Therefore, the maximum profit is achieved when approximately 312.5 units of lab equipment are sold.
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James can hike f(n) miles after building up n days of stamina subject to a maximum of 10 days. Identify the domain that makes sense in this context.
The domain that makes sense in this context will be (0, 10].
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
James can hike f(n) miles after building up n days of stamina, subject to a maximum of 10 days.
Then the domain that makes sense in this context will be (0, 10].
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I'll give BRAINLIEST to whoever answers the question correctly!!!!
Which statement is needed to complete this syllogism?
If the angles of a triangle are all equal, then the sides of a triangle are all equal.
If the sides of a triangle are all equal, then the triangle is equilateral.
Therefore, if the angles of a triangle are all equal, then ________________________.
1. the triangle is equiangular
2. the triangle is equilateral
3. the sides of a triangle are all equal
4. the angles of a triangle are all equal
Answer:
2 = the triangle is equilateral ( took the test )
Step-by-step explanation:
Syllogisms are connected by a shared statement that connects a hypothesis to a different conclusion.
The complete statement is that the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.
What is an equilateral triangle?A triangle having all the three sides equal and all the angles equal is called the equilateral triangle.
From the given statement we can see that if the triangle is having all the angles equal then all three sides of the triangle must be equal.
The triangle is the equilateral triangle.
Hence, the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.
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if x = 7, then 7 = x is an example of which property
Answer/Step-by-step explanation:
What do you mean by property?
I will guess for now, but if it is not right I will update it.
It would be the associative property since you are flipping the equation around.
Hope this helps :)
HELP!! PLEASE!!!!!
Solve the equation by taking square roots
2-8n^2=-198
The best answer gets Brainiest!!
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
n=5, -5
Answer:
\(n=\frac{3i\sqrt{22}-2}{-8}\)
Step-by-step explanation:
\((2-8n)^2=-198\)
\(\sqrt{(2-8n)^2} =\sqrt{-198}\)
\(2-8n=i\sqrt{198}\)
\(2-8n=3i\sqrt{22}\)
\(-8n=3i\sqrt{22} -2\)
\(n=\frac{3i\sqrt{22}-2}{-8}\)
I hope this helps!
x over 5 - g = a … solve for x
Answer:
x = 5a + 5G
Step-by-step explanation:
x/5 - g = a
x/5 = a + g
x = 5(a+g)
x = 5a + 5G
If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
(35 ÷ 5) - 5
show work!! help
Answer:
Step-by-step explanation:
(35/5) - 5
7 - 5 = 2
If J=91 ,L=16 , and K=73 , list the sides of triangle JKL in order from smallest to largest
A. JL, KJ, LK
B. LK, JL, KJ
C. KJ, JL, LK
D. KJ, LK, JL
JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.
How are the angles arranged, from greatest to smallest?JKL, where K is the specified angle, is an example.Acute Angles are the smallest angles. An acute angle is a particular kind of angle that measures less than 90°.an acute angle. The planar surface typically produces obtuse angles.Straight angle. Right angle.Subtract the squares of the other sides, then calculate the square root to determine the shorter side.Reflex angle at its widest point.JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.To learn more about smallest angle refer to:
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Which y-intercept is smaller?
-6, -2, 1, or 1 1/2
Answer:
-6
Step-by-step explanation:
if you put all on a number line negitive six is the furthest to the left. meaning its the lowest number
Answer:
Coordinates on a graph cannot be larger or smaller than each other. They are just locations. If you are asking which number has the lowest value, it would be the negative with the highest number. In this case, -6 is the smallest value.
Step-by-step explanation: