Function f(x) to represent the 10-point bonus. f(x) = x+10
Function g(x) to represent the 9% increase. g(x) = X +0.09x
g(x) = 1.09x
Use a composite function to find your grade if the 10-point bonus is applied before the 9% increase.
(g.f)x = g(f(x))
f(75) = 85
g(85) = 92.65
Use a composite function to find your grade if the 9% increase is applied before the 10-point bonus.
(f.g)(x) = f(g(x))
g(75) = 1.09(75) = 81.75
f(x) = 81.75+10 = 91.75
You would want 10 point bonus applied before percentage increase. the 10 point bonus is flat increase.
whereas the percentage increased larger if multiplying by a bigger number your grade would be almost 1% higher with is option
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Makayla is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday and flips a coin?
The different possible outcomes are there if she spins a spinner with 5 equal-sized sections-
So, there are are total 10 outcomes of flipping a coin
A coin has two faces head and tail . On flipping a coin there are total 2 outcomes i.e. a head and a tail.
There is a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday.
On Spinning a spinner with 5 equal-sized sections there are total 5 outcomes . They are Monday, Tuesday, Wednesday, Thursday, Friday.
So there are two events flipping a coin and spinning a spinner.
possible outcomes are
(Head, Monday) (Tail , Monday) (Head, Tuesday) (Tail, Tuesday)
(Head, Wednesday) (Tail , Wednesday) (Head, Thursday) (Tail, Thursday)
(Head, Friday) (Tail, Friday)
So, there are are total 10 outcomes.
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What is the quotient of negative 192 over negative 16?
Answer:
12
Step-by-step explanation:
[tex]Borrow\:2\:from\:"-192"\\|16| \times 1 = 16\\= 16 - 19\rightarrow Remember\:we\:borrowed\:2\\= 3\\Drop\:the\:borrowed\:2\\= 32\\|16| \times 2 = 32\\= 32 - 32\\= 0\\\\= 12\:\sf R0[/tex]
Answer:
12 (please use a calculator next time)
Step-by-step explanation:
When I have to simplify a tough fraction, I like to constantly divide both the numerator and the denominator by 2 until I can no longer do so, as it's a lot easier to divide most numbers by 2.
[tex]\frac{-192}{-16}\\ \\\to \frac{96}{8} \\ \\\to \frac{48}4 \\ \\\to \frac{24}2 \to 12[/tex]
5. If the cost of two tires is $130,56, how much will it cost
Answer:6528
Since there are 2 tires, both of which are $130,056 you would need to divide by 2 to get the price of the tires separately.
solve each equation,with work shown
-6 = a/13
m/11 =19
p -1 = -17
3= 3/5n
31/10= r+ 2⅗
-6/5 =⅘k
-12/5 = 1+a
p+ ½ = 5/2
The values of the variables in the equation will be:
1. a = -78
2. m = 209
3. p = -16
4. n = 1/5
5. r = 1/2
6. k = = -3/2
7. a = -13.5
8. p = 2
How to illustrate the information?-6 = a/13
Cross multiply
a = 13 × -6
a = -78
m/11 =19
Cross multiply
m = 19 × 11
m = 209
p -1 = -17
p = -17 + 1
p = -16
3= 3/5n
5n = 3/3
5n = 1
Divide
n = 1/5
31/10= r+ 2⅗
r = 31/10 - 2 3/5
r = 31/10 - 13/5
r = 5/10
r = 1/2
-6/5 =⅘k
Divide
k = -6/5 × 5/4
k = -3/2
-12/5 = 1+a
a = -12.5 - 1
a = -13.5
p+ ½ = 5/2
p = 5/2 - 1/2
p = 2
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Stefan and Kendrick both walk to work each day. It takes them the same amount of time, even though Stefan lives farther away. One morning, they decide to meet at a coffee shop. The coffee shop is the same distance from each of their apartments. Who will likely get to the coffee shop in less time?
If one morning, they decide to meet at a coffee shop. The coffee shop is the same distance from each of their apartments. The person that will likely get to the coffee shop in less time is: Stefan.
SpeedIf it takes both of them the same amount of time to walk to work per day. The person that will likely get to the coffee shop in less time is Stefan based on the fact that despite Stefan live a great distance away he still get to work at the same as Kendrick.
Since the coffee shop is the same distance from both of their apartments there is likelihood or tendency that Stefan get to the coffee shop in less time.
Therefore the person that will likely get to the coffee shop in less time is: Stefan.
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Factor ab + bc + b 2 + ac.
The factor of the terms ab + bc + b² + ac is ( a + b ) ( b + c ).
Given ab + bc + b² + ac
A factorization is a mathematical object of multiplying several factors usually smaller or simpler objects of the same kind.
To factor the terms we need to write like terms on one side as below
= ab + ac + bc + b²
Separating the common terms as
= a ( b + c ) + b (c + b )
= a ( b + c ) + b ( b + c )
= ( a + b ) ( b + c )
Therefore, the factor of the given terms ab + bc + b² + ac is ( a + b ) ( b + c ).
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The point C(4,5) is rotated 270° counterclockwise around the origin. What are the coordinates of the resulting point, C'?
The coordinates of the resulting point C' are (-5, 4).
What are coordinates?A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold, such as Euclidean space. The order of the coordinates matters, and they are sometimes identified by their position in an ordered tuple and other times by a letter, as in "the x-coordinate."Since we know that rotating a point 270° counterclockwise about the origin causes the point (x,y) to become (-y, x), we can swap the positions of the x and y coordinates and make y negative.
We have, using the above transformation:
(x, y) ⇒ (-y, x)(4, 5) ⇒ (-5, 4)Therefore, the coordinates of the resulting point C' are (-5, 4).
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Answer:
Step-by-step explanation:
(5,-4)
Which answer choice below is not a correct way to show the answer to a division problem?
A) 913 ÷ 29 = 31 r 14
B) 913 ÷ 29 = 31 14/29
C) 913 ÷ 29 = 31.14
D) 913 ÷ 29 = 31
Answer:
option D
Step-by-step explanation:
it is the incomplete answer
Write each expression in simplest form. (x³/x⁻¹)⁻¹/₄
The result of simplifying the expression (x³/x⁻¹)⁻¹/₄ using the exponent rules is 1/x
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(x³/x⁻¹)⁻¹/₄
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
(x⁽³⁻⁽⁻¹⁾)⁻¹/⁴
(x⁽³⁺¹⁾)⁻¹/⁴
(x⁴)⁻¹/⁴
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:
x⁽⁴*⁻¹/⁴⁾
x⁽⁻⁴/⁴⁾
x⁽⁻¹⁾
As we have a negative exponent, you have to pass the exponent to the denominator:
1/x
What is an exponent?In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
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Which statements are true about the function represented by the graph? select all that apply.
a) The function is negative over the interval (-♾️, -5).
b) The function has zeros at -5,3.
c) The function is negative over the interval (-16,0).
d) The function is positive over the interval (-♾️, -5).
e) The function has zeros at -3,5.
f) The function is positive over the interval (-5,3)
g) The function is positive over the interval (3,♾️)
h) The function is negative over the interval (-5,3)
Choice B) The function is negative over the interval (−5,3).
Choice C) The function is positive over the interval (3,∞).
Choice D) The function is positive over the interval (−∞,−5).
====================================================
Explanation:
The portion below the x axis is when f(x) is negative. This happens on the interval -5 < x < 3−5<x<3 . Note how -5 and 3 are the x intercepts or roots. So because f(x) is negative when -5 < x < 3−5<x<3 we can say f(x) is negative over the interval (-5, 3). This is interval notation and not ordered pair notation.
----------
The function f(x) is positive in two places. When x < -5 and when x > 3. This is where the purple parabola is above the x axis.
The x < -5 portion converts to the interval notation (−∞,−5)
The x > 3 portion converts to the interval notation (3,∞)
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How to simplify it as a fraction?
0.7 bar can be expressed as 7/9 in fraction.
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.
In mathematics, a fraction is referred to as a portion of a whole. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.
Part of a whole number and a means of dividing a number into equal parts are represented by fractions. The numerator, also known as the number of equally divided parts, is how it is written.
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Which of the following tables shows a rate greater than 1 kilometer per hour? A Kilometers 1··51··41··31··2Hours7··57··47··37··2B Kilometers 3··46··49··412··4Hours3··86··89··812··8C Kilometers 2··34··36··38··3Hours4··38··312··316··3D Kilometers 1··41··23··43··2Hours3··43··29··49··
Based on the calculations, table B shows a rate that is greater than 1 kilometer per hour.
What is the average rate of change?The average rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.
Mathematically, the average rate of change can be calculated by using this formula;
Average rate of change = Δy/Δx = Change in kilometer/Change in hour
For table A, we have:
Rate = kilometer/hour
Rate = (1/5)/(7/5)
Rate = 1/5 × 5/7
Rate = 1/7 kilometer per hour.
For table B, we have:
Rate = (3/4)/(3/8)
Rate = 3/4 × 8/3
Rate = 2 kilometer per hour.
For table C, we have:
Rate = (2/3)/(4/3)
Rate = 2/3 × 3/4
Rate = 1/2 kilometer per hour.
For table C, we have:
Rate = (2/3)/(4/3)
Rate = 2/3 × 3/4
Rate = 1/2 kilometer per hour.
For table D, we have:
Rate = (1/4)/(3/4)
Rate = 1/4 × 4/3
Rate = 1/3 kilometer per hour.
Therefore, table B shows a rate greater than 1 kilometer per hour.
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I need assistance; on question #1
Answer:150 minutes
Step-by-step explanation: divide 30 x 5 = 6 and multiply 6 x 25 = 105 minutes
PLEASE HELP! NEED THIS ASAP! HELP PLSS!!!!!
Kevin has a pitcher that holds 2.75 quarts of juice. How many 1.4 quart cups can he fill up with one pitcher of juice?
Based on the quarts of juice that are in the pitcher that Kevin has, the number of 1.4 quart cups that can be filled up by one pitcher of juice is 1.96 cups.
How to find the number of cups?In order to find the number of 1.4 quart cups that Kevin would be able to fill up with the pitcher, you should divide the number of quarts that the pitcher can hold, by the number of quarts that each cup can hold.
The number of 1.4 quart cups that can be filled with one pitcher of juice is therefore:
= Number of quarts in pitcher / Number of quarts per cup
= 2.75 / 1.4
= 1.96 cups
In conclusion, the pitcher that Kevin has can fill up 1.96 cups.
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Please hekp! the value of FG the drawing is not a scale.
EF equals 11 and EFequals 21 what is FG?
Answer:
yo cant help u good do
San diego San Diego California is about 2,683,824 feel away from san francisco.los Los angeles is about 700000 feet closer to san francisco then san diego is. Which of the following cold be the actual distance between los angeles and san francisco
The actual distance between Los Angeles and San Francisco will be 19,83,824 feet.
Given that,
The distance between San Diego and San Francisco = 2,683,824 feet,
And,
Los Angeles is about 7,00,000 feet closer to San Francisco than San Diego,
Now,
Distance is the total movement of an object without any regard for direction i.e. the distance covered by the object.
So,
Now,
According to the question,
To find the actual distance,
The actual distance between Los Angeles and San Francisco = The distance between San Diego and San Francisco) - (The difference in the distance)
i.e.
The actual distance between Los Angeles and San Francisco = 2,683,824-700,000
On solving we get,
The actual distance between Los Angeles and San Francisco = 19,83,824
Hence we can say that the actual distance between Los Angeles and San Francisco will be 19,83,824 feet.
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URGENT! homework due tmrw!!
Answer: donut no
Step-by-step explanation:
12345
A toy helicopter flies forward with a force of 15 N into an oncoming wind of 10 N. The force of gravity pulls the helicopter down
with a force of 5 N, but the propeller is providing an upward force of 10 N.
Which of the following accurately describes the helicopter's force?
(1 point)
O The toy helicopter is flying forward with a force of 15 N.
O The toy helicopter is flying forward with a force of 10 N and upward with a force of 5 N.
O The toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.
O The toy helicopter is flying forward with a force of 15 N and upward with a force of 10 N.
The statement which accurately describes the helicopter's force is: C. the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.
What is Newton's Third Law of Motion?Newton's Third Law of Motion states that for every action there is an equal but opposite reaction. This ultimately implies that, in every interaction, there is a pair of forces acting on the two interacting objects.
Next, we would determine the resultant forces in the two scenarios as follows:
Resultant force A = Forward force - Wind force
Resultant force A = 15 N - 10 N
Resultant force A = 5 Newton.
Resultant force B = Upward force - Force of gravity
Resultant force B = 10 N - 5 N
Resultant force B = 5 Newton.
In this context, we can reasonably infer and logically deduce that the toy helicopter is flying forward with a force of 5 N and upward with a force of 5 N.
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You make $9.25 an hour and want to buy a new watch that’s costs $277.50. Write and solve an inequality to find out how many hours you will have to work to have enough money for the new watch.
a) The ratio 20 minutes to 1 hour can be written in the form 1: n.
Find the value of n.
n =
b) The scale on a map is 1 : 25 000
How many kilometres on the ground is represented by 9 cm on the map?
The result for the given ratio are-
Part a: The value of n = 3.
Part b: For 9 cm on map there are 225,000 km on ground.
What is defined as the ratio?A ratio in mathematics is a comparable of two or more numbers that shows their sizes in regards to each other. A ratio compares two quantities by dividing them, with the dividend or number divided referred to as the antecedent as well as the divisor or number divided referred to as the consequent.A ratio can be expressed as a part-to-part or part-to-whole comparison.Now, as per the given question;
Part a: The value of 'n'.
The ratio 20 minutes to 1 hour can be written in the form 1: n.
20 minutes/1 hour = 1/n
We know that; 1 hour = 60 minutes.
20 minutes/60 minutes = 1/n
Cross multiplying;
20n = 60
n = 60/20
n = 3
The value of n is found to be 3.
Part b: kilometres on the ground.
The scale on a map is 1 : 25 000
It means;
1 cm on map = 25,000 km on grounds.
Thus, for 9 cm om map.
Multiplying both side of ratio with 9.
9 : 9 × 25 000
9 : 225,000
Thus, 9 cm on map there are 225,000 km on ground.
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on Arya birthday about 20 chocolate Her friends finished 7/10 chocolates How many chocolates were left
Answer:
6
Step-by-step explanation:
She had 20 chocolate pieces and her friends ate 7/10 of them.
20 x 0.7 = 14
20 - 14 = 6 pieces left over
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Use the commutative property to simplify the expression 1/4 + 1/3 + 3/4
A. 1/4 + ( 1/3 + 3/4) = 1/4 +13/12 = 16/12 = 1 1/3
B. 1/4 + 3/4 + 1/3 = 1 + 1/3 = 1 1/3
C. ( 1/4 + 1/3 ) + 3/4 = 7/12 + 9/12 = 16/12 =1 1/3
D. 1/12 (3+ 4+ 9) = 1/12(16) = 16/12 = 1 1/3
Answer:
B is the correct use of the commutative property.
Step-by-step explanation:
Let's use the process of elimination.
We can see that A is not using the commutative property because the sum of the numbers in the parentheses are just being combined.
C doesn't work because they just added 1/3 and 3/4, which doesn't work.
And finally D doesn't work because they used the distributive property instead.
B works because they combined 1/4 and 3/4 to equal 1, an easy number to calculate, and added 1/3 to get a final answer is 1 1/3.
So B is the answer.
Hope this helped! Have a great day!
Answer:
B is the correct answer for commutative property
Step-by-step explanation:
what is a word phrase i could use for this algebraic expression 7x-2?
0.96 x 0.12 what is it but step by step
You normally multiply 96 and 12 without the decimal point which makes 1152, and then you have 2 places after the decimal point in each number so you add the 2 of the decimal places and that makes 4. Finally, you move the decimal point to the left 4 times, which makes 0.1152.
Answer: 0.1152
During breakfast, the school cafeteria sells half of the milk they have. they sell twice as much milk as orange juice. by the end of breakfast, they have sold 3 gallons of orange juice. write and explain how to find how much milk the cafeteria had at the beginning was f the day.
Solving The problem with the help of a linear equation, we can say that the cafeteria had 1.5 gallon of milk at the beginning of the day.
A linear equation refers to an algebraic equation where when the graph plotted with an equation gives a straight line.
First of all we have to assume the amount of the milk is x gallon .
As per the question the amount of sold orange juice is twice as much milk as . So the orange juice was 2x gallon .
They sold 3 gallon of orange juice .
∵ we can generate an equation,
2x = 3
or, x = 3/2
or, x = 1.5
Now we can conclude , the amount of the sold milk is 1.5 gallons.
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George’ family is preparing backpacks filled with school supplies to donate to children in
need. They have 60 pencils and 80 notebooks. If they want to make all backpacks the same,
with no school supplies left over, what is the greatest number of backpacks they can fill?
A. 480 B. 240 C. 20 D. 40
The greatest number of backpacks they can fill if they want to make all backpacks the same with no school supplies left over is 20
What is the greatest number of backpacks they can fill if they want to make all backpacks the same with no school supplies left over?The given parameters are
Pencils = 60
Notebooks = 80
Express 60 and 80 as the products of their factors
So, we have
Pencils = 2 * 2 * 3 * 5
Notebooks = 2 * 2 * 2 * 2 * 5
Multiply the common factors
Common factor = 2 * 2 * 5
Evaluate the product
Common factors = 20
Hence, the greatest number of backpacks they can fill if they want to make all backpacks the same with no school supplies left over is 20
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O
An escalator runs from the first floor of a shopping mall to
Answer: D.) the hypotenuse
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Question:
What is the longest side of a right triangle?
Answer:
The answer would be D. hypotenuse
Step-by-step explanation:
Leg A and B would be the legs remember pythagorean theorem. Pythagorean theorem would be a2 + b2 = c2, a is a side of right triangle b is also a side of right triangle and c is the hypotenuse.
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PLUMBING Raven is deciding between two plumbing services. Service Provider A multiplies the average number of hours spent at a residence by $50, where the average number of hours spent at a residence is 1.5 hours for a new house and 3.75 hours for an old house. Service Provider B multiplies the exact number of hours spent at a residence by $60. Suppose Raven has a new house and needs a plumber for 1.75 hours. Find the cost of service charge using both methods.
The cost of service charge using service provider A and service provider B is $58.33 and $105 respectively.
The cost of service of each service providerService provider A:
Cost of plumbing service = $50Average number of hours spent at a residence for a new house = 1.5 hoursAverage number of hours spent at a residence for a old house = 3.75 hoursService provider B:
Cost of plumbing service = $60Since Raven has a new house
Cost of service charge using service A:
Cost of plumbing : average hours spent
50 : 1.5 = x : 1.75
50/1.5 = x/1.75
cross product
50 × 1.75 = 1.5 × x
87.5 = 1.5x
x = 87.5 / 1.5
x = $58.33
Cost of service charge using service B:
multiplies the exact number of hours spent at a residence by $60.
= 1.75 × 60
= $105
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Evaluate 3.5 raised to the seventh power divided by 3.5 raised to the sixth power, all raised to the second power. 1 3.5 7 12.25
The value of given expression is 12.25.
From the given statement, the required expression is = ((3.5)⁷/(3.5)⁶)²
Since, the numerator and denominator of the expression are same.
Hence, their power will get subtracted
[tex] {({3.5}^{7 - 6} )}^{2} [/tex]
= 3.5²
= 12.25
∴ The value of the expression ((3.5)⁷/(3.5)⁶)² is equal to 12.25
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The equation is y = 2x.
Reason is because when I saw the number 4 on the x-axis, I saw that it was multiplied by 2 to make 8. It also works with the other numbers.
Answer:
y=2x
Step-by-step explanation:
The gradient is 2 which gives the 2x
The lines crosses the y-axis at 0
Hope this helps! Have a great day!
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