The addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2 + a +6.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We have to find when 3a^2 + a^2 added to a + 6.
3a^2 + a^2 + a +6
This cannot be added further because they do not have any like terms.
Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.
Those terms which have same variables raised with same power are like terms.
For example, 5t^3 and 6t^3 are like terms since variable is same, and it is raised to same power 3.
Thus, the addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2+ a +6
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[tex]4a^2 + a + 6[/tex] is the final expression represents the sum of the given terms.
To add the expressions 3a2 + a2 to a + 6, follow these steps:
Identify and group the like terms:3a2 + a2 for the squared termsa for the linear term6 for the constant termCombine the like terms:3a2 + a2 = 4a2Write down the final expression after addition:4a2 + a + 6Thus, the result of adding the given expressions is[tex]4a^2 + a + 6.[/tex]
Find the area of a circle with a diameter of 16.
*First time asking a question. I would appreciate any help.*
Which triangle side lengths form a right triangle? Choose all that apply.
5,6,7
6, 8, 14
8,15, 17
10,12,15
15, 20, 25
16, 18, 20
The side lengths ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-angle triangle.
What is a right triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
According to the given problem,
We know, in a right-triangle,
Hypotenuse² = Perpendicular² + Base²
For sides, 8, 15, 17
⇒ Hypotenuse ² = 8² + 15²
⇒ Hypotenuse² = 64 + 225
⇒ Hypotenuse = √289
⇒ Hypotenuse = 17
For sides, 15, 20, 25,
⇒ Hypotenuse² = 15² + 20²
⇒ Hypotenuse² = 225 + 400
⇒ Hypotenuse = √625
⇒ Hypotenuse = 25
Hence, we cam conclude, the sides, ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-triangle.
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Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are true about additional information for proving that the triangles are congruent? Select two options. If AngleA ≅ AngleT, then the triangles would be congruent by ASA. If AngleB ≅ AngleP, then the triangles would be congruent by AAS. If all the angles are acute, then the triangles would be congruent. If AngleC and AngleQ are right angles, then triangles would be congruent. If BC ≅ PQ, then the triangles would be congruent by ASA.
Answer:
If Angle A ≅ Angle T, then the triangles would be congruent by ASA
If Angle B ≅ Angle P, then the triangles would be congruent by AAS.
Step-by-step explanation:
It's already given that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So if angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.
Since you only need to pick 2 answer choices, you can stop there.
If Angle A ≅ Angle T, then the triangles would be congruent by ASA
If Angle B ≅ Angle P, then the triangles would be congruent by AAS.
Congruent triangles:Since
Sides A C and T Q are congruent. Angles B C A and P Q T are congruent.
So here we can say that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So in the case when angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.
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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
A. X-2
B. X-1
C. X+1
D. X+2
Answer:
Step-by-step explanation:
Answer C (x + 1) is correct; if we let x + 1 equal 0, we get the root (x-intercept) -1, which appears on this graph
X + 1 must be a factor of the polynomial graphed
How to find the factor
The factor is solved using the points where the graph intersects the x-axis.
This points are called the roots
Examining the graph the roots are x = -1 and x = 4
Hence x + 1 must be a factor
A new car is purchased for $ 41 , 000 $41,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the nearest hundred dollars?
Answer:
$800
Step-by-step explanation:
A = P [tex](0.5)^{t}[/tex]
Because it's every 3 years, you need to find how many 3 years in the 17-year-period of time.
17/3 = 5.666...
P is initial amount:
A = $41, 000 [tex](0.5)^{5.666...}[/tex]
A = 41, 000 (0.01968...)
A = 807.13692...
A ≈ $800
Rounded to the nearest hundred dollars.
Answer:$800
Step-by-step explanation: trust
Please please please please help!
Wait bro you already got it
The plot shows the temperatures (in ºF) for a group of children who visited a doctor’s office.
A plot shows the temperature of children at a doctor's office. 1 child had a temperature of 96 degrees; 2, 97 degrees; 5, 98 degrees; 2, 99 degrees; 1, 100 degrees.
What conclusions can be drawn from the data set? Check all that apply.
The measures of center are the same.
The interquartile range is 4.
There is little variability in the data.
The average temperature is 98.
The data is clustered around the mean.
Answer:
1.The measures of center are the same.
3.There is little variability in the data.
4.The average temperature is 98.
5.The data is clustered around the mean.
Step-by-step explanation:
Answer:1,3,4,5
Step-by-step explanation:i did the quiz
i need help please
Answer:
9/10
Step-by-step explanation:
1/2+2/5= 5/10+4/10= 9/10
Answer:
9/10
Step-by-step explanation:
You first need to find the Least Common Denominator, which is ten. Next, multiply the numerator by what you multiplied the denominator to get 10. You should have 5/10+4/10. Combine like terms to get 9/10
TL:DR
5/10+4/10
9/10
Consider the sequence 60, 53, 46, 39, 32, 25, ...
The common difference of this sequence is
Select one
formula for the sequence is
The tenth term for this sequence is
Select one
Answer:
The common difference of the sequence is -7
Step-by-step explanation:
Because each time the the numbers are going down by minus 7
The common difference of this sequence is, - 7
And, One formula for the sequence is,
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (10) = - 3
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
⇒ 60, 53, 46, 39, 32, 25, ...
Now, The common difference of this sequence is,
⇒ 53 - 60
⇒ - 7
And, One formula for the sequence is,
⇒ a (n) = a + (n - 1) d
⇒ a (n) = 60 + (n - 1) (- 7)
⇒ a (n) = 60 - 7n + 7
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (n) = 67 - 7n
⇒ a (10) = 67 - 7 x 10
⇒ a (10) = 67 - 70
⇒ a (10) = - 3
Thus, The common difference of this sequence is, - 7
And, One formula for the sequence is,
⇒ a (n) = 67 - 7n
And, The tenth term for this sequence is,
⇒ a (10) = - 3
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HVAC technician average salary = $28/hour with a one-year Tech school certification costing an average of $7,500. What would your first pay be for your first year a work? Assume you work a 40 hour week for 50 weeks.
Answer:
The answer will be
$56,000
Step-by-step explanation:
40 times 28 times 50
If CDE ~ GDF, find ED
Answer:
10
Step-by-step explanation:
[tex]\triangle CDE \sim \triangle GDF.. (given) \\\\
\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\
\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}[/tex]
If triangle CDE ~ GDF , then length of ED is 10 unit.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion
In Triangles CDE and GDF, sides CD and DG , sides ED and DF are corresponding sides.
So, these corresponding sides will be in proportion.
[tex]\frac{CD}{DG}=\frac{ED}{DF}\\\\\frac{15}{x+3}=\frac{3x+1}{4}\\\\(3x+1)*(x+3)=60\\\\3x^{2} +10x-57=0\\\\3x^{2} +19x-9x-57=0\\\\x(3x+19) -3(3x+19)=0\\\\(x-3)(3x+19)=0\\\\x=3,x=-19/3[/tex]
Since, side can not be negative. Therefore, x= 3
[tex]ED=3x+1=3(3)+1=10 unit.\\[/tex]
Thus, length of ED is 10 unit.
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What is the value of x?
Answer:
x=15
Step-by-step explanation:
Definition of Isosceles triangle --- two side lengths are always equal!
Answer: 15
Step-by-step explanation: By looking at the shape, you can tell it's the exact same size.
send help , 20 points !!
what is 1 and 2/9 minus 3 and 1/3
Answer:
-1 and 8/9
Step-by-step explanation:
Answer:
The answer would be -19/9
Solve the equation. 4k2= 5k
Answer:
0,5/4
Step-by-step explanation:
4k·2= 5k
4·2k= 5k
8k=5k
Please mark me brainliest if the helped (I need it)
A certain drug dosage calls for 21 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 181 pounds, how much of the drug should they get each dosage?
To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms and multiply it by the dosage of 21 mg per kg per day. Then, we divide the total amount by 2 to get the amount of the drug per dosage.
Explanation:To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms. Since 1 kilogram is equal to 2.2 pounds, we can divide the weight in pounds by 2.2 to get the weight in kilograms. In this case, 181 pounds is approximately 82.27 kilograms.
Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. This gives us the total amount of the drug needed per day. In this case, the total amount is approximately 1728.67 mg.
Since the drug is divided into two doses every 12 hours, we divide the total amount by 2 to get the amount of the drug per dosage. Each dosage should be approximately 864.34 mg.
Final answer:
To determine the amount of the drug that should be given each dosage, convert the weight from pounds to kilograms and multiply by the dosage of 21 mg per kg per day. The person should receive approximately 862.05 mg of the drug each dosage.
Explanation:
To determine the amount of the drug that should be given each dosage, we first need to convert the weight of the person from pounds to kilograms. 181 pounds is approximately equal to 82.10 kilograms. Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. Thus, the person should receive approximately 1724.10 mg of the drug per day. Because the dosage is divided into two doses, they should receive approximately 862.05 mg of the drug each dosage.
Which of the following are polynomial functions?
Check all that apply.
Answer:
Step-by-step explanation:
Subtract.
4x^3−6x^2+8x−9 from 7x^3−16x+18
NEEDED ASAP (25pts)
The dot plot shows the number of hours students in the
band practiced their instruments.
Which describe the dot plot? Select all that apply.
There is a cluster from 3 to 4.
There is a gap between 1 and 3.
There is a peak at 4.
The data shows symmetry.
The data is skewed left.
The data is skewed right.
Answer:
There is a cluster from 3 to 4.
There is a gap between 1 and 3.
There is a peak at 4.
The data is skewed left.
Step-by-step explanation:
Edg
The correct statements are as follows:-
There is a cluster from 3 to 4.There is a gap between 1 and 3.There is a peak at 4.The data is skewed left.What is a scatter plot?Scatter plots are graphs that show how two variables in a data collection relate to one another. On a two-dimensional plane or in a Cartesian system, it represents data points.
The right statements for the dot plots are as follows:-
There is a cluster from 3 to 4.There is a gap between 1 and 3.There is a peak at 4.The data is skewed left.More about the scatter plot link is given below.
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Triangle JKL are drawn on a coordinate plane. The coordinates are J: (2,4) K: (1,1) and L: (4,0). Using the scale factor of 2, what is L'?
A. (4,2)
B. (8,2)
C. (8,0)
Answer:
c
Step-by-step explanation:
You are given a random 4-digit PIN for your bank card. How many 4 digit PINs are
possible if the numbers can be repeated?
Answer:
There are 10,000 possible combinations that the digits 0-9 can be arranged to form a 4-digit pin code
Step-by-step explanation:
Answer:
10k
Step-by-step explanation:
What is the surface area of a rectangular prism with A length of 4 cm, width of 5 cm and a height of 10 cm?
Answer:
220
Step-by-step explanation:
plug it into surface area formula for rectangular prisms
A=2(wl+hl+hw)
The value of x is_degrees
Answer:
x=19
Step-by-step explanation:
The total angle in a straight line is 180 degrees.
To work this out you would first add 7 and 4 to -2, this gives you 9. Then you would minus 9 from 180, which gives you 171. This is because you are removing the extra numbers and so all you are left with is the x's. Then you would add 5x and x and 3x, which gives you 9x. Then you would divide 171 by 9, which gives you 19.
1) Add 7 and 4 and -2.
[tex]7+4+(-2)=9[/tex]
2) Minus 9 from 180.
[tex]180-9=171[/tex]
3) Add 5x and x and 3x.
[tex]5x+x+3x=9x[/tex]
4) Divide 171 by 9.
[tex]171/9=19[/tex]
5) [tex]x=19[/tex]
The sum of all the angles is 180 degrees because this is a supplementary angle.
5x + 4 + x - 2 + 3x + 7 = 180
Now you can combine like terms:
(5x + x + 3x) + (4 - 2 + 7) = 180
9x + 9 = 180
Now you must isolate x:
9x + 9 - 9 = 180 - 9
9x + 0 = 171
9x = 171
9x/9 = 171/9
x = 19
Check:
5(19) + 4 + 19 - 2 + 3(19) + 7
95 + 4 + 19 - 2 + 57 + 7
180
Hope this helped! Let me know if you have any further questions
~Just a girl in love with Shawn Mendes
y = 3x – 5, what would the output be for an input of 4?
Answer: y = 7
Step-by-step explanation:
y = 3(4) - 5
y = 12 - 5
y = 7
Answer:
y=12
Step-by-step explanation:
Substitute the given value into the function and evaluate.
(Plug in your input to get your output, in this case, x=4)
y=3(4)-5
y=12-5
y=12
The answer is y=12.
5, –20, 80,
The geometric sequence?
Step-by-step explanation:
This sequence is that you should multiply the number by 4 and one number should be positive the other should be negative so
5 -20 80 -320 1280
Which expression is equivalent to 5(4f+3)-2f
Answer:
f = 5/6
Step-by-step explanation:
5(4f + 3) - 2f
= 20f + 15 - 2f
= 18f + 15
18f = 15
f = 15/18
f = 5/6
Find the volume of the figure.
Answer:
233 in^3
Step-by-step explanation:
First we will find the volume of the square at the bottom
V = s^3 where s is the side length
V = 5^3
V = 125 in^3
Then we will find the volume of the rectangular prism at the top
V = l*w*h
V = 12*3*3
V =108 in^3
The total volume is the sum of the two volumes
V = 125+108
= 233 in^3
Answer:
233 in³
Step-by-step explanation:
Cube + cuboid
(5×5×5) + (3×3×12)
233 in³
The heights of a group of boys and girls at a local middle school are shown on the dot plots below.
2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60.
When comparing the shapes of the two sets of data, what conclusion can someone draw?
The shortest boy is taller than the shortest girl.
The range for the girls is greater than the range for the boys.
There is an outlier in the data for the boys, but not for the girls.
The girls are generally taller than the boys.
Mark this and return
I wish my teacher could explain how to do this plz help
Answer: (-2,7)
Step-by-step explanation:
Answer:
The answer is c
Because it reflects over the y axis,soo the x axis stays the same
But the y dosent stay the same it turns into a negative
Brainliest plz
Happy to help
Step-by-step explanation:
Solve for x. −18<9x
Answer:
ok its 6969 np btw <3;)
Work Problem: Mrs. Perry needs Mr. Chesah's help painting her new office. Perry could paint her office in 4 hours. She heard that Chesah has the new PAINTMASTER3000...and could paint Perry's fancy new office in half the time. If they work together, how long would it take them to paint Perry's new office?
A 0.75 hrs
B 1.333 hrs
C 6 hrs
D 3 hrs
Answer:
6 hrs
Step-by-step explanation: If Im reading corectly your saying that Mrs. Perry is painting for 4 hours plus Mr. Chesah painting for 2 hours (half of 4 hours) Add them up and get 6 hrs. I hope this is what you meant.
To find out how long it would take Mrs. Perry and Mr. Chesah to paint the office together, we can use the idea of work completion rate. When two people work together, their work completion rates are added. Therefore, if they work together, it would take them 1 hour and 20 minutes to paint the office.
Explanation:To find out how long it would take Mrs. Perry and Mr. Chesah to paint the office together, we can use the idea of work completion rate. Let's say that Mrs. Perry can paint 1 office in 4 hours, which means her work completion rate is 1/4 offices per hour. Since Mr. Chesah can paint the same office in half the time, his work completion rate is 1/2 offices per hour.
When two people work together, their work completion rates are added. So, the combined work completion rate of Mrs. Perry and Mr. Chesah is 1/4 + 1/2 = 3/4 offices per hour.
To determine how long it would take them together to paint Perry's office, we can take the reciprocal of the combined work completion rate. This gives us 4/3 hours, which is equivalent to 1 hour and 20 minutes. Therefore, if they work together, it would take them 1 hour and 20 minutes to paint the office.