The rate of y with respect to x for this function is -0.2
What is the rate of y with respect to x for this function?from the question, we have the following parameters that can be used in our computation:
The graph
Where we have
(-3, 3.6) and (5, 2)
The rate of y with respect to x for this function is calculated as
Rate = change in y/x
So, we have
Rate = (2 - 3.6)/(5 + 3)
Evaluate
Rate = -0.2
Hence, the rate is -0.2
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Which of the following examples has a unit rate of 25 feet
per second? Select all that apply.
A) 100 feet in 4 seconds
B) 150 feet in 10 seconds
C) 225 feet in 9 seconds
D) 275 feet in 11 seconds
E) 100 feet in 5 seconds
Answer:
Step-by-step explanation:
A) 100 / 4 = 25 ✅
B) 150 / 10 = 15❌
C) 225 / 9 = 25✅
D) 275 / 11 = 25✅
E) 100 / 5 = 20 ❌
For the function h defined by h(x) = 2x² - 2, find h(-1/2).
Answer:
-1.5
Step-by-step explanation:
h(-1/2)=2 \((\frac{-1}{2})^{2}\) -2
h(-1/2)= \(\frac{1}{2} -2\\\)
h(-1/2)=-1.5
Deon had 3/5 of a spool of yarn. He used 3/7 of it for his project. What fraction of the spool was used for his project?
Answer:
6/35
Step-by-step explanation:
TO start you have to get a common denominator.
The lowest common multiple is 35, which just requires you to multiply the bottom two numbers to their fractions.
so you would do 3/5 times 7 on the top and bottom to get 21/35
then on the other one you would take 2/7 times 5 to get 15/35
you now have 21/35-15/25 or essentially 21-15 which is 6 and keep the denominator
you come out with 6/35
Please help me with this question
The number of combinations to define a 4-member committee will be 70.
What are the permutation and combination?Let 'x' be the number of things chosen out of 'n' number of things. Then the combination is given as,
ⁿCₓ = n! / [(n - x)! · x!]
And the permutation is written as,
ⁿPₓ = n! / [(n - x)!]
The committee of 4 people is chosen out of 8 people. Then the number of combinations is given as,
⁸C₄ = 8! / [(8 - 4)! · 4!]
⁸C₄ = (8 × 7 × 6 × 5 × 4!) / (4 × 3 × 2 × 1 × 4!)
⁸C₄ = (8 × 7 × 6 × 5) / (4 × 3 × 2 × 1)
⁸C₄ = 1680 / 24
⁸C₄ = 70
The number of combinations to define a 4-member committee will be 70.
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you have a cake that is 16 inches by 18 inches.you want each piece to be exactly the same size.how many people can u serve equal sized piece of cake
The number of people are 72.
What is HCF?Highest Common Factor is the full name for HCF in mathematics.
According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.
What is LCM?Least Common Multiple is the full name for LCM in mathematics.
LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.
We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.
Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.
We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:
288 / x² = (16*18) / x² = 288 / x²
Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.
As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.
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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
What is area?A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.
To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.
The total area of the cake is:
16 inches x 18 inches = 288 square inches
To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:
√(288 square inches) ≈ 16.97 inches
Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:
Each piece of cake will be approximately 16 inches by 16 inches.
To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:
288 square inches ÷ (16 inches x 16 inches) = 18
Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
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What is the area of a rectangle with a length of 3 ⅓, feet and a width of 1 ⅔ feet?
2 7/9 ft²
3 2/9 ft²
5 5/9 ft²
8 ⅓ ft²
Solution:
Note that:
Length = 3 1/3 = 10/3Width = 1 2/3 = 5/3Area of rectangle = LBFind the area by substituting the values in the expression.
10/3 x 5/3=> 50/9=> 5 5/9 ft² (Option C)Answer: Your answer is 5 5/9 ft²
Step-by-step explanation: I did the test Here's proof
Hope it helped :D
In an analysis of variance problem if SST = 120 and SSTR-80, then SSE is
a. 200
b. 40
c. 80
d. 120
The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.
How to find SSE in an analysis of variance problems with the SST and SSR values?Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.
In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.
The formula is SST = SSR + SSE ⇒ SSE = SST - SSR
Calculation:The given values of the analysis of the variance problem are
SST = 120; SSR = 80
Then, the value of SSE = SST - SSR = 120 - 80 = 40
So, option b is correct.
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HOW DO I SOLVE THIS 20POINTS
The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1
Determining the solution of the system of equationsFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2^x + 1
g(x) = 3^x
The above expression is a system of exponential equations
We are required to solve by graph
That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system
Next, we plot the graph
See attachment for the graph of the equations
The ordered pairs of the intersection point is (1, 3)
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the equation y=17.5x shows the rate for a hair cut at a hair salon #1, where x is the number of hair cuts, and y is the total earned from hair cuts. the table below shows the amounts earned after different number of haircuts at hair salon #2!! i need the help please
The equation for hair salon #2 is y = 10x + 10.
What is the equation?An equation is a mathematical statement that states the equality of two expressions, which are separated by an equal sign. It is typically used to represent the relationship between two variables, such as x + y = z. An equation can also be used to solve for a single unknown variable in a more complicated set of equations. Additionally, equations are used to describe physical laws and phenomena in physics, chemistry, and other sciences.
To calculate the equation for hair salon #2, we need to use a linear equation of the form y=mx+b. In the equation, m is the slope or rate, and b is the y-intercept or the starting amount. In this case, the slope of the line represents the rate of the hair cut, and the y-intercept represents the starting amount.
To calculate the rate of the hair cut at hair salon #2, we need to determine the slope (m) of the equation. To do this, we can use the two points of data given in the table. We will use the points (x1, y1) and (x2, y2). Using these points, we can calculate the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Using the data from the table, we get:
m = (30 - 20) / (2 - 1) = 10/1 = 10
Therefore, the equation for hair salon #2 is y = 10x + b
To calculate the y-intercept (b) of the equation, we can use any one of the points of data given in the table. Let's use the point (x1, y1) = (1, 20). We can then substitute this point into the equation:
This equation shows the rate for a hair cut at hair salon #2, where x is the number of hair cuts, and y is the total earned from hair cuts.
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John spent 80% of his money and saved the rest. Peter spent 75% of his money and saved the rest. If they saved the same amount of money, what is the ratio of John’s money to Peter’s money? Express your answer in its simplest form.
The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.
Let's assume John has 'x' amount of money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'
So,
p = x - 80x/100 (equation 1)
q = y - 75y/100 (equation 2)
According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.
p = q
x- 80x/100 = y - 75y/100
x - 0.8x = y - 0.75y
0.2x = 0.25y
x = 0.25y/0.2
x/y = 0.25/0.2
x/y = 25/20
x/y = 5/4
Hence, the ratio of John's money to Peter's money is 5/4.
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Solve for x. Round your answer to the nearest tenth. Will brainlist first correct
Answer: 11.013
Step-by-step explanation: use soh cah toa
sin 0 =opp/hyp
sin27^o=5/x
(1x5) divded by (sin27) = x
x= 11.013
Greatest Common Factor To factor, it is helpful to look for a greatest common factor (GCF) first. Select all of the polynomials below that have a greatest common factor (GCF) other than 1. Hive you soectid at of the correct bores? Not yet Keep tying: 2x+8y 2x+5y 2xy+3x 2
y 2x 2
+6x 2x 2
+3x+6 2x 2
+4x+6
It is true that in order to factor, it is useful to identify the greatest common factor (GCF). When a polynomial is factored, it is broken down into smaller parts that are then multiplied together. The GCF is the largest term that can be factored out of all the terms.
A polynomial with a GCF other than one is one that can be factored. Select all of the polynomials below that have a GCF other than one.In order to discover the GCF of these terms, we must first write them in a way that makes it easier to identify the common factors.2x + 8yThe GCF of this expression is 2.2x + 5yThe GCF of this expression is 1.2xy + 3xThe GCF of this expression is x.2yThe GCF of this expression is 2.2x² + 6xThe GCF of this expression is 2x.2x² + 3x + 6The GCF of this expression is 1.2x² + 4x + 6The GCF of this expression is 2.After reviewing all of the choices, only the first, fifth, sixth, and seventh have a GCF other than one.
When it comes to factoring polynomials, there are a variety of techniques. In order to factor, it is critical to start with the greatest common factor (GCF). This is the largest factor that all of the terms share. It is critical to identify this so that it can be removed and factored separately, simplifying the process. When a polynomial has a GCF of one, it cannot be factored further. When a polynomial has a GCF other than one, it can be factored down into simpler parts. For the polynomial 2x + 8y, for example, the GCF is 2. Each term can be divided by 2, resulting in x + 4y. The same is true for the polynomial 2x² + 6x, which has a GCF of 2x. This can be taken out, resulting in x + 3.
It is important to remember that to factor a polynomial, you must first identify the GCF. If a polynomial has a GCF of 1, it cannot be factored any further. If a polynomial has a GCF other than 1, it can be broken down into simpler parts, which makes the process of factoring much easier. It is critical to understand these basics before moving on to more complex factoring techniques.
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MANY POINTS IF YOU CAN HELP!!!!
Answer: wait what, umm, why did math change so much, is it like linear relationships
Step-by-step explanation:
y is an integer.
Write down all the solutions of the inequality. -8 < 2y < 0
Answer:
y = - 3, - 2, - 1
Step-by-step explanation:
Given
- 8 < 2y < 0 ( divide each interval by 2 )
- 4 < y < 0
Then y can equal - 3, - 2, - 1
What are 10 examples of irrational numbers?
Step-by-step explanation:
numbers that can not be written as a fraction
Divide the product of 11 1/5 and 47 by the difference of 6/45 and 1/10
(x+3)^2=4
solve the following equation,giving your answer correct to 2 decimal places
where necessary
Answer:
x = -1, -5
Step-by-step explanation:
\( {(x + 3)}^{2} = 4 \\ = > {x}^{2} + 2 \times x \times 3 + {3}^{2} = 4 \\ = > {x}^{2} + 6x + 9 = 4 \\ = > {x}^{2} + 6x = 4 - 9 \\ = > {x}^{2} + 6x = - 5 \\ = > {x}^{2} + 6x + 5 = 0 \\ = > {x}^{2} + 5x + x + 5 = 0 \\ = > x(x + 5) + 1(x + 5) = 0 \\ = > (x + 1)(x + 5) \\ = > x = - 1 \: \: or \: \: - 5\)
Hope it helps.
Don't forget to click the "Brainliest" button if you like my answer.
Answer:
x= -1
Step-by-step explanation:
(x+3)^2=4
2x + 6 = 4
2x = 2
divide each term in 2x = -2 by 2 and simplify.
answer ( x = -1 )
What is the sum of these numbers?
+7+(-4)=
Answer:
3
Step-by-step explanation:
Since + × - = -
The - sign will change
+7 - 4 = 3
Can someone help me?
Answer:
1 feet
Step-by-step explanation:
15-14
A bag contains 3 red, 4 blue, and 6 yellow marbles. one marble is selected at a time, and once the marble is selected, it is not replaced. what is the probability of selecting a blue marble, then a red marble.
The probability of selecting a blue marble, then a red marble without replacement is 2/39.
To find the probability of selecting a blue marble, then a red marble without replacement to consider the total number of marbles and the number of favorable outcomes.
Total marbles = 3 red + 4 blue + 6 yellow = 13 marbles
calculate the probability of selecting a blue marble:
Probability of selecting a blue marble = (Number of blue marbles) / (Total number of marbles)
= 4 / 13
After selecting a blue marble left with 12 marbles in total, with 2 red marbles.
calculate the probability of selecting a red marble:
Probability of selecting a red marble = (Number of red marbles) / (Total number of remaining marbles)
= 2 / 12
= 1 / 6
To find the probability of both events occurring, multiply the individual probabilities:
Probability of selecting a blue marble, then a red marble = (4 / 13) × (1 / 6)
= 4 / 78
= 2 / 39
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solve (2+2)+(4+4). help please otherwise I will fail in my test
I need help with this
Which proportion can be used to find 65% of 90?
Answer: 65/100 = x/90
Step-by-step explanation: 65/100 = 65%
So, x/90 = 65/100
Thus, the answer is 65/100 = x/90
Would appreciate brainliest <3
how many different refrigerants may be recovered into the same cylinder
In general, different refrigerants should not be mixed or recovered into the same cylinder.
Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.
When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.
The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.
To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.
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The number of different refrigerants that may be recovered into the same cylinder is zero.
When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.
The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.
Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.
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A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?
A) Yes, because 4 + 5 > 8
B) Yes, because 5 + 8 > 4
C) No, because 4 + 5 > 8
D) No, because 5 + 8 > 4
Answer: Yes, because 4 + 5 > 8
Step-by-step explanation: The sum of 4 + 5 must be more than 8 to be a triangle
Answer:
The answer is A) Yes, because 4 + 5 > 8
Step-by-step explanation:
I got it right loves <3
The population of a town is 32600 about 27% are over 60 years old about 19% are 16 or under how many are between 16 and 60
PLEASE HELP MEEEEE THIS IS SO HARDDD
Answer:
B and $684
Step-by-step explanation:
B, because wednesday is three days after sunday so 4 times 3 because she walks 4 more laps each day until saturday. Add the 24 laps she already walks 4(3)=12+24=36
By saturday she would've walked 48 laps, so 48 times 3 for the 3 dollars each lap. 48(3)=144 now u have to find the other days so the equation you would use is 3(24 + 4x), x for the day until saturday. 3(24+4(1))=3(28)=84,just do that for each day and then add all them together because the question asked by the end of the week, saturday, how much money so yea. 84+96+108+120+132+144=684
(honestly u could just keep adding 12 to the previous number as that's what it's increasing by.) haha rlly hope I'm not wrong on the second one. Have a nice day!
juan owns 7 pairs of pants, 5 shirts, 6 ties, and 8 jackets. how many different outfits can he wear to school if he must wear one of each item?
Answer: I believe he could wear 768 outfits
Step-by-step explanation: I had a similar question consisting of the same numbers.
Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
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More algebra, giving 15 points for this one.
Answer:
B
Step-by-step explanation:
11x - 6x + 20
combine like terms:
5x + 20
How do you calculate 24 3/8 - (-54 1/8)=
Answer:
78.375
Step-by-step explanation:
24 3/8 equals 24.25. 54 1/8 equals 54.125. Since your subtracting from a negative number, you add the two numbers and get 78.375 as your final answer.