Answer:
82
Step-by-step explanation:
if g(3)= substitute a as 3 = (3)^3 +5(3)^2= 27+45= 72
if f(3)= substitute a as 3= 2(3) +4=10
join them up since it said there to add g(3) +f(3)
72 +10= 82
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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Your robot is 3 inches wide. Its legs are 1 inch apart.
For each robot, enter the distance between the legs.
When the robot width is 6 inches, the distance between the legs will be 2 inches.
When the robot width is 5 inches, the distance between the legs will be 1.67 inches.
How to illustrate the information?It should be noted that from the information, the robot is 3 inches wide and its legs are 1 inch apart.
Therefore, when the robot width is 6 inches, the distance between the legs will be:
= 1/3 × 6
= 2 inches.
When the robot width is 5 inches, the distance between the legs will be:
= 1/3 × 5
= 5/3
= 1.67 inches.
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What is the tax due for a single taxpayer reporting a taxable income of 64,725
The tax due for a single taxpayer by virtue of the tax rate for single filers; 22% as required in the task content is; 14,239.5.
What is the tax due for a single tax payer whose taxable income is; 64,725 as required in the task content?It follows from the task content that the taxable income of the single taxpayer as discussed in the task content is; 64,725.
Since, the tax rate which is alloted to such individual single filers is; 22%.
It simply follows that the tax due on the individual can be determined as follows;
Tax due = 22% of 64, 725
= (22/100) × 64,725
= 14,239.5
Ultimately, the tax due for a single taxpayer by virtue of the tax rate for single filers; 22% as required in the task content is; 14,239.5.
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Jamar writes 4 x 6 = 24 to find the total number of
marbles he has. How might Jamar describe what each
factor represents in the multiplication equation?
There 6 number of bags and each bag will have 4 marbles in it.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
4 x 6 = 24
If 24 represents total bof marbles.
So, we can assume that there 6 number of bags and each bag will have 4 marbles in it.
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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
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.
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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PLS HURRY WILL GIVE BRAINLIEST
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:
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.
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)
Suppose that every person that sees an image on social media
shares it with 6 people, who each share it with 6 people, who
each share it with 6 people. If two people saw an image, how
many people was it shared to?
Answer:
its 432
(ps. if your having trouble with focusing with school or work, try music. Would recommend lessoning to Wilbur Soot.)
O
An escalator runs from the first floor of a shopping mall to
Answer: D.) the hypotenuse
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Have a good day!
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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.
I hope it helps you!
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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
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
Question 1 options:
Find the distance between the points (-10, -2) and (-8,0).
*round to the nearest tenth
The distance between the given pair of points (-10, -2), (-8,0 ) round to the nearest tenth is 2.8.
What is the distance between the given pair of points?The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point 1(-10, -2)
x₁ = -10y₁ = -1Point 2( -8,0 )
x₂ = -8y₂ = 0Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √( ( (-8) - (-10) )² + ( 0 - (-2) )² )
D = √( ( -8 + 10 )² + ( 0 + 2 )² )
D = √( ( 2 )² + ( 2 )² )
D = √( 4 + 4 )
D = √8
D = 2.8
Therefore, the distance between the given pair of points (-10, -2), (-8,0 ) round to the nearest tenth is 2.8.
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what is a word phrase i could use for this algebraic expression 7x-2?
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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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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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
Hope this helps <3
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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i will mark brainlest
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!
ps. i answered the previous question
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
1. Give two other names for CD.
2. Give another name for plane M.
3. Name three points that are collinear. Then name a fourth point that is not collinear with these three points.
4. Name a point that is not coplanar with points A, C, E.
1. The other two names for CD is DC and line m
2. The another name for plane M is plane AEB , ABE ,BEA ,ACE.
3. The points which are collinear are A ,C , B and the point which is not collinear is D or E .
4. The point that is not coplanar with points A, C, E is D.
A line can be defined as a series of straight lines extending in opposite directions. A collinear point is a point that lies on the same straight line or a single line. Two or more points on a line are said to be collinear if they are close or far apart. The word "coplanar" means "on the same plane".1. CD lies on m so , other name for CD can be DC and line m.
2. As point A , B , E lies on plane M so , other name for plane M can be AEB , ABE , BEA and ACE .
3. As A , C and B are in straight line hence , they are collinear and point D and E are not in collinear with these three points .
4. Only D point is not on the plane hence , it is not coplanar with points A, C, E.
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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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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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URGENT! homework due tmrw!!
Answer: donut no
Step-by-step explanation:
12345
The dimensions of a rectangular prism are shown below with one 1/2 feet with 1 foot high 2 1/2 feet the weight of the size of a small Cubes 1/2 of each how many small cubes can be packing rectangle prism show your work
Final Answer:
Rectangular Prism: A rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of the opposite faces are congruent. Like all three-dimensional shapes, a rectangular prism also has volume and surface area.
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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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