Mark says that the expression 2+3 is a binomial since it had two terms. Layla says that it is a monomial since 2+3=5,and 5 is just one term. Who is correct
The given expression in monomial. 2+3 is a monomial as it will give 5 which has only one degree. Layla is correct
What is monomial?
When an expression has only one similar like term of all the terms are of same degree then it is known as Monomial. When there are two distinct terms then it is said to be binomial.
We Are given an expression 2+3
Now both the number 2 and 3 have degree 0
Hence we can add them directly hence it become 5 which again has a degree 0 only
Hence it is a monomial term
Therefore Layla is correct
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QUICK HELP NEEDED PLEASE NOW
How do I answer the question?
The value of n for the given exponential function is 5/2.
Exponential function:
Exponential function means the function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Given,
Here we have the exponential function (√7)⁵ = 7ⁿ
Now, we need to find the value of n.
Based on the rule of exponent, we have written the square as 1/2, like the following,
√7 = [tex]7^{\frac{1}{2}}[/tex]
So, when we apply these on the given expression then we get,
(√7)⁵ = [tex](7^{\frac{1}{2}})^5[/tex]
Now, we have to multiply both values on the power then we get,
=> [tex](7^{\frac{5}{2}})[/tex]
When we equate this with the RHS, then we get the value of n as,
[tex]= > (7^{\frac{5}{2}})=7^n[/tex]
Therefore, the value of n is 5/2.
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Please help!!! 10 points!! The total price of 3 pencils and 1 protractor at $3 was 4 times the total price of 1 pencil and 1 eraser at $0.60. What is the price of 1 pencil?
Step-by-step explanation:
The total price of 3 pencils and 1 protractor at $3 was 4 times the total price of 1 pencil and 1 eraser at $0.60. What is the price of 1 pencil?
when pencil = p
3p + 3 = 4(p + 0.6)
expand right side:
3p + 3 = 4p + 2.4
subtract 3 from both sides:
3p + 3 - 3 = 4p + 2.4 - 3
3p = 4p -0.6
subtract 4p from both sides:
3p - 4p = 4p -0.6 - 4p
-p = -0.6
divide both sides by -1:
(-p)/-1 = (-0.6)/-1
p = 0.6
so each pencil costs $0.60
Find the exact value of the following if 0 ≤ x ≤pi/2 and 0 ≤ y ≤ pi/2
sin(x - y) if cos x = 3/5 and sin y = 24/25
The value of trigonometric function sin(x-y) = -44/125
Given ,
cos x = 3/5
sin y = 24/25
Sin( x - y) = sin(x)cos(y) - sin(y)cos(x)
substituting the values,
=> sin(x)cos(y) - sin(y)cos(x)
=> sin(x)cos(y) - (24/25)(3/5) ------(1)
As we know ,
sin(x) = √(1 - cos²x)
sin x = √(1 - (3/5)²)
=> sin x = √1 -9/25
=> sin x = √16/25
=> sin x = 4/5
Again ,
cos y = √(1 - sin²y)
=> cos y = √(1 - (24/25)²
=> cos y = √1 - 576/625
=> cos y = √49/625
=> cos y = 7/25
Substituting the values of sin x and cos y in equation (1)
=> sin(x - y) = (4/5)(7/25) - (24/25)(3/5)
=> sin(x - y) = (28 / 125) - (72 / 125)
=> sin(x - y) = -44/125
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How do you graph g(x)= -3x
(Algebra 1 Honors)
Put different values of x in the function and find values of g(x). Then plot the points on a graph.
What is a graph?Graphing a function involves tracing the curve on a coordinate plane that corresponds to the function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.
The given function is
g(x) = - 3x
Put x = - 3
g(x) = -3(-3)
g(x) = 9
Put x = - 2
g(x) = -3 (-2)
g(x) = 6
Put x = - 1
g(x) = -3 (-1)
g(x) = 3
Put x = 1
g(x) = - 3 (1)
g(x) = - 3
Put x = 2
g(x) = -3 (2)
g(x) = - 6
Plot the points on a graph, and keep the values of x on the x-axis and g(x) on the y-axis.
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Flaming Fish Emporium sold 15 fish on Monday and then received a shipment of 15 fish on Tuesday. If they started with an inventory of 365 fish on Monday morning, how many fish did they have at the end of the day on Tuesday?
Answer:
365
Step-by-step explanation:
As the amount of fish the emporium sold and received are the same, the inventory of fish has not changed. Therefore, the emporium has 365 fish at the end of the day on Tuesday.
Monday morning: 365 fish
After Monday's sales: 365 - 15 = 350 fish
Tuesday morning: 350 fish
After Tuesday's shipment: 350 + 15 = 365 fish
Answer:
End of Tuesday = 365 fishes
Step-by-step explanation:
Fishes in inventory,
→ n = 365 fishes
Let's take it as,
→ Monday (x) = 15
→ Tuesday (y) = 15
Forming the expression,
→ (n - x) + y
Let's solve the expression,
→ (n - x) + y
→ (365 - 15) + 15
→ 350 + 15
→ 365 fishes
Hence, there are 365 fishes.
the width of a rectangle is half the length g. write and simplify an expression that represents the perimeter and area of the rectangle
The perimeter 2a+g unit and area a*g/2 unit² of the rectangle.
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,
The area of rectangle is A = a*b
here given is b = g/2unit
The area will be a*g/2 unit²
The perimeter of the rectangle is 2(a+b)
perimeter will be 2(a+g/2) = 2a+g unit
hence the perimeter and area of the rectangle are a*g/2 unit² and 2a+g unit respectively.
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All numbers that round to 400 when rounded to the nearest hundred
2+2+2+2+2+2+2+2+2+0+0+0+0+0+0
Answer:
18
Step-by-step explanation:
18
step by step explanation: you literally add them up
11 ) (−11,−11) with slope 5 5
Slope-intercept form:
y= 8/5x+3
Point-slope form:
y+5= 8/5 • (x+5)
hi please help me im having trouble
Answer:
Your answer will be 7
Answer:
7
Step-by-step explanation:
i know
A rectangle is drawn so that the width is 5 feet shorter than the length. The area of the rectangle is 6 square feet. Find the length of the rectangle.
Answer:
Step-by-step explanation:
v1 v2
x1
- x2
Answer: 6, the answer is 6
Step-by-step explanation:
A teacher tells her students she is just over 1 and 1/2 billion seconds old.
A.) Right her age in seconds using scientific notation?
B.) How old is she in years?
Answer
47.56468797565 in years
Step-by-step explanation:
im not sure what her age is in seconds with scientific notation though sorry :(
Trey believes that 1/3 written as a decimal is the terminating decimal 0.3. Lilly believes that 1/3 written as a decimal is is the repeating decimal 0.33333…. Who is correct?, explain your reasoning.
Answer:
Lily is correct.
Step-by-step explanation:
Because 0.3 is out of a part that is split into 10 parts.
The table represents the amount of money in a bank account each month.
Month Balance ($)
1 3,600.00
2 2,880.00
3 2,304.00
4 1,843.20
5 1,474.56
What type of function represents the bank account as a function of time? Justify your answer.
This is a linear function because there is a common difference in the balance between the months.
This is a linear function because there is a common ratio in the balance between the months.
This is an exponential function because there is a common difference in the balance between the months.
This is an exponential function because there is a common ratio in the balance between the months.
The type of function that represents the bank account as a function of time is: this is an exponential function because there is a common ratio in the balance between the months.
How to determine the type of function?In order to determine the type of function that models or represents the bank account as a function of time, we would check whether or not there is a common difference or common ratio.
In Mathematics, a linear function is used to model a situation when there exist a constant or common difference between its consecutive terms. On the other hand, an exponential function there is used to model a situation when there exist a constant or common ratio between its consecutive terms.
For the common difference, we have:
d = 1,474.56 - 1,843.20 = -368.64
d = 1,843.20 - 2,304.00 = -460.8
Therefore, the bank account as a function of time is not a linear function.
For the common ratio, we have:
r = 1,474.56/1,843.20 = 0.8
r = 1,843.20/2,304.00 = 0.8
Therefore, the bank account as a function of time is an exponential function.
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Answer:
the bank account as a function of time is an exponential function.
Step-by-step explanation:
Solve the system.
2x + y = −3 −2y = 6 + 4x
Write each equation in slope-intercept form.
The given equations, 2x + y = -3 and -2y = 6 + 4x, written in slope-intercept form is y = -2x - 3
Writing equations in slope-intercept formFrom the question, we are to write the equations in slope-intercept form.
The given equations are
2x + y = -3
and
-2y = 6 + 4x
The slope-intercept form of the equation of a line is
y = mx + b
Where m is the slope
and b is the y-intercept
Writing 2x + y = -3 in slope-intercept form
2x + y = -3
Subtract 2x from both sides of the equation
2x - 2x + y = -3 - 2x
y = -3 - 2x
y = -2x - 3
Writing -2y = 6 + 4x in slope-intercept form
-2y = 6 + 4x
Divide through by -2
-2y/-2 = 6/-2 + 4x/-2
y = -3 - 2x
y = -2x - 3
Hence, the equation is y = -2x -3
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It takes 2 cups of water to cook 1 rice
Answer: About 1 to 1.5 ratio. You would use one cup rice to 1.5 cup water.
Step-by-step explanation:
Please help!!!
Write the compound inequality for the graph.
Answer:
-8 < x ≤ 0
Step-by-step explanation:Let's remember what open and closed circle mean:
Open Circle:
Less than ( < ) / Greater than ( > )
Closed Circle:
Greater than or equal to ( ≥ ) / Less than or equal to ( ≤ )
Now, let's review this graph:
Let's call this unknown value 'x'
Reading the graph left to right:
x is greater than -8, but is less than or equal to (Remember!! Closed circle!)
We can right this as:
-8 < x ≤ 0
And that is our answer! If your problem wants a different variable (y, z, q, etc) just put that in place of 'x'
Let me know if this helped!
A cell phone is on sale at $35 more than half of the regular price. The sale price is $140. Determine the regular price.
The regular price for the cell phone is $210
How to calculate the price?From the information given, the cell phone is on sale at $35 more than half of the regular price and the sale price is $140.
Let the regular price be represented as x.
This will be illustrated as:
1/2x + 35 = 140
0.5x + 35 = 140
Collect like terms
0.5x = 140 - 35
0.5x = 105
Divide
x = 105 / 0.5
x = 210
The regular price is $210.
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What is the degree of the polynomial? 3pq⁴-2p²q+q³
The degree of that polynomial is 5
What is the Degree of Polynomial?
The degree of polynomial is the highest degrees of individual term.
The first is to find each term.
The term is 3[tex]p[/tex][tex]q^{4}[/tex], 2[tex]p^{2}[/tex][tex]q[/tex], and [tex]q^{3}[/tex] (or can also be written as 3[tex]p^{1}[/tex][tex]q^{4}[/tex], 2[tex]p^{2}[/tex][tex]q^{1}[/tex], and [tex]p^{0}[/tex][tex]q^{3}[/tex]
The next step is to add up the exponents for each term and select the highest result.
3[tex]p^{1}[/tex][tex]q^{4}[/tex] : 1+4 = 5
2[tex]p^{2}[/tex][tex]q^{1}[/tex] : 2+1 = 3
[tex]p^{0}[/tex][tex]q^{3}[/tex] : 0+3 = 3
Therefore the degree of polynomial is 5
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ANSWERS LESS THAN , GREATER THAN , SAME . PLEASE HELP WILL MARK BRAINLYEST IF YOU REMIND ME AND GIVE ME THE CORRECT ANSWER!!!!!
Answer:volume of pyramid is equal to the volume of prism
Step-by-step explanation:
can someone help
p(n)=2n; find p(-1) work must be shown
The solution for p(-2) in the function when the function p(n) = 2n is -2
How to determine the solution for p(-1) in the function?From the question, we have the following equation that can be used in our computation:
p(n)=2n
To make the equation legible, we need to rewrite it
So, we have the following representation
p(n) = 2n
Also from the question, we have
p(-1)
This means that the value of n is -1, and we calculate p(n) when n = -1
Substitute the known values in the above equation, so, we have the following representation
p(-1) = 2 * -1
So, we have the following equation
p(-1) = 2 * -1
There is no constant to add or subtract to both sides of the equation
So, we have the following representation
p(-1) = -2
Hence, the solution is -2
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PLEASE I NEED THIS SUPER FAST
What is the area of a rectangle with side lengths of 6/8 meter and 4/10 meter
enter your answer as a fraction in simplest form
The area of a rectangle with side lengths of 6/8 meter and 4/10 meter is,
Area of rectangle = 6/8 meter × 4/10 meter
= 24 / 80 meters²
= 6 /20 meters²
= 0.3 meters²
Hence, The area of a rectangle with side lengths of 6/8 meter and 4/10 meter is 0.3 meters².
please help
Given △ C AT ≅ △DOG, m∠C = 25° , and m∠O = 37° , what is the measure of ∠G?
enter your answer in the box.
m∠G = __°
Answer:
m∠G = 118°
Step-by-step explanation:
The congruence statement that says:
△CAT ≅ △DOG,
says not only that the triangles are the same shape and size, it also says //which// angles (and sides) are conguent.
Angle C and Angle D are the same. Angle A and Angle O are the same. And Angle T and Angle G are the same.
So in △CAT, Angle C is 25° and Angle A (same as O) is 37°.
Also, all the angles in a triangle add up to 180°.
25° + 37° + T = 180°
62° + T = 180°
T = 118°
And T corresponds to G, so AngleG is also 118°.
a) How many edges does a triangular-based pyramid have?
b)
How many faces does a triangular prism have?
c) How many vertices does a cuboid have?
Triangular pyramids contain four sides, six edges, and four vertices.
What is a pyramid?
A pyramid is a structure with triangular exterior surfaces that converge to a single step at the summit, giving the form the shape of a pyramid in the geometric sense. A pyramid's base can be cooperation agreement, quadrilateral, or any polygon form. As a result, a pyramid has at least three triangular surfaces on its outside (at least four faces including the base). A typical alternative is the squares pyramid, which has a square shape and four triangular exterior surfaces. The design of a pyramid, with the majority of the weight closer to the bottom and the select at the apex, means that less material will be pushed from above. This center of mass enabled early civilizations to build sturdy massive constructions.
Triangular pyramids contain four sides, six edges, and four vertices.
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Work out an estimate for the mean time some people spent mowing their lawn
The mean time some people spent mowing their lawn is 1.01
Mean
Mean refers the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Given,
Here we have the table of data.
Now, we need to estimate for the mean time some people spent mowing their lawn.
According to the given problem, the mean is calculated for each time interval, then we get,
For the time period 0 ≤ t < 10, then the mean is,
=> 3/(3 + 11 + 14 + 2)
=> 3/30
=> 0.1
For the time period 10 ≤ t < 20, then the mean is,
=> 11/(3 + 11 + 14 + 2)
=> 11/30
=> 0.37
For the time period 20 ≤ t < 40, then the mean is,
=> 14/(3 + 11 + 14 + 2)
=> 14/30
=> 0.47
For the time period 40 ≤ t < 60, then the mean is,
=> 2/(3 + 11 + 14 + 2)
=> 2/30
=> 0.07
So, the mean time is obtained by adding the values,
=> (0.1 + 0.37 + 0.47 + 0.07)
=> 1.01
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i’ll give out sm points if u do this for me with the work!!
The value of "x" in the given triangles is 17.
We are given a triangle, ΔABC. The midpoint of the side AC is denoted by D. The midpoint of the side BC is denoted by E. The midpoints D and E are joined by a line segment. The line segment DE is parallel to the side AB. The triangles ΔABC and ΔDEC are similar triangles. The lengths of the sides of the triangle ΔDEC are half those of ΔABC. The ratio of the lengths of DE and AB is 1/2.
DE/AB = 1/2
(3x - 4)/(9x - 59) = 1/2
6x - 8 = 9x - 59
51 = 3x
x = 17
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Which of the following statements are TRUE? Select ALL that apply.
A. When dilating a figure with a scale factor greater than 1, the new figure will be further from the center of dilation.
B. When dilating a line, the new line will be parallel to the original line.
C. When dilating a figure with a scale factor less than 1, the new figure will be closer to the center of dilation.
D. When dilating a figure with a scale factor less than 1, the new figure will be further from the center of dilation.
Sam ran 63,756 feet in 70 minute. What i am' rate in mile per hour? (There are 5,380 feet in one mile. )
The rate of Sam in miles per hour is 10.13.
Based on the relation between the units feet and mile, firstly converting the distance in miles.
5380 feet = 1 mile
So, 63,756 feet = 63,756 ÷ 5380
Performing division to calculate the distance in miles
63, 756 feet = 11.85 miles
Now converting the time in hour. As per the known fact, 60 minutes = 1 hour
So, 70 minutes = 70÷60
70 minutes = 1.17 hours
Now, finding the rate in miles per hour = number of miles ÷ amount of time
Rate in miles per hour = 11.85 ÷ 1.17
Performing division on Right Hand Side of the equation
Rate in miles per hour = 10.13
Thus, the rate is 10.13 miles per hour.
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