Answers
Related Questions
A group of art students are painting a mural on a wall. The rectangular dimensions of (6x+7) by (8x+5) and they are planning the mural to be (x+4) by (2x+5). What is the area of the remaining wall after the mural has been painted?
Answers
Answer:
The area of remaining wall after the mural has been painted is [tex]46x^2+73x+15[/tex] square units.
Step-by-step explanation:
If the dimensions of a rectangle are l and w, then area of rectangle is
[tex]A=l\times w[/tex]
The dimensions of wall are (6x+7) and (8x+5). So, the area of wall is
[tex]A_1=(6x+7)\times (8x+5)[/tex]
[tex]A_1=6x(8x+5)+7(8x+5)[/tex]
[tex]A_1=48x^2+30x+56x+35[/tex]
[tex]A_1=48x^2+86x+35[/tex]
The dimensions of mural are (x+4) and (2x+5). So, the area of mural is
[tex]A_2=(x+4)\times (2x+5)[/tex]
[tex]A_2=x(2x+5)+4(2x+5)[/tex]
[tex]A_2=2x^2+5x+8x+20[/tex]
[tex]A_2=2x^2+13x+20[/tex]
The area of remaining wall after the mural has been painted is
[tex]A=A_1-A_2[/tex]
[tex]A=48x^2+86x+35-(2x^2+13x+20)[/tex]
[tex]A=48x^2+86x+35-2x^2-13x-20[/tex]
[tex]A=46x^2+73x+15[/tex]
Therefore area of remaining wall after the mural has been painted is [tex]46x^2+73x+15[/tex] square units.
Answer:
46x^2 + 73x + 15
Step-by-step explanation:
name the postulate or theorem, 50 points please help!
Answers
When you use postulates and theorems, you need to make sure to only use the given information that you know. Look for the given statements, and congruence marks on the figure. Those are also considered given.
By looking, you are given an angle and a side. The side comes first. SU=TV.
So, that makes it so Side-Angle-Side would be the best option.
I hope this helps!
When you use postulates and theorems, you need to make sure to only use the given information that you know. Look for the given statements, and congruence marks on the figure. Those are also considered gives
Solve for x. Simplify completely.
x^2+4x+4=8
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x^2 + 4x - 4 = 0
Now that we have a quadratic expression equaling ZERO, we need to use the quadratic formula: x= [tex] \frac{-b + or - \sqrt{b^2 - 4ac} }{2a} [/tex]
a= coefficient of x^2
b= coefficient of x
c= last term
[tex] \frac{-4 + or - \sqrt{16 +16} }{2} = \frac{-4 + or - 4 \sqrt{2} }{2} = -2 +or- 2 \sqrt{2} [/tex]
The final answer would be x = [tex]x = (-2+ \sqrt{2}) or (-2 - \sqrt{2} [/tex]
A. x=-6 or x=2 is the answer
If f(x) = (1/9)(9^x) what is f(3)
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Answer: The required value of f(3) is 81.
Step-by-step explanation: We are given the following function :
[tex]f(x)=\left(\dfrac{1}{9}\right)9^x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the value of f(3).
Substituting x = 3 in equation (i), we get
[tex]f(3)\\\\\\=\left(\dfrac{1}{9}\right)\times9^3\\\\=9^2\\\\=81.[/tex]
Thus, the required value of f(3) is 81.
Answer:
81
Step-by-step explanation:
APEX
What does it mean to say that a polynomial equation is solvable by radicals?
Answers
Which represents the solution set of 5(x+5)<85
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i hope this help you bro
For this case, the first thing we will do is clear the expression step by step.
Step 1:
Pass the five to divide:
5 (x + 5) <85
(x + 5) <85/5
(x + 5) <17
Step 2:
Pass the 5 inside the parenthesis to subtract:
(x + 5) <17
x <17-5
x <12
The answer is:
x <12
equivalently:
x: (-inf, 12)
Answer:
x <12
x: (-inf, 12)
You are studying for your final exam on the semester. Up to this point, you received 3 exam scores of 99%, 80%, And 70%. To receive a grade of B in the class, you must have an average exam score between 80% and 89% for all 4 exams including the final. Find the widest range of scores that you can get on the final exam in order to receive a grade of B for the class. Use interval notation
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89*4=356
This is the range of the addition of all 4 scores.
99+80+70=249
320-249= 71
356-249= 107
[71, 100] would be the answer, unless you can get extra credit on the final.
Answer: The interval would be [71,107]
Step-by-step explanation:
Since we ave given that
Scores received in 3 exams are 99%, 80%, and 70%.
To receive a grade of B in the class, he must have an average exam score between 80% and 89% for all 4 exams for all 4 exams.
So, Minimum marks he needs for all 4 exams is given by
[tex]80\times 4=320[/tex]
Maximum marks he needs for all 4 exams is given by
[tex]89\times 4=356[/tex]
And his total marks in 3 exams is
[tex]99+80+70\\\\=249[/tex]
Minimum marks he needs in final exam is given by
[tex]320-249\\\\=71[/tex]
Maximum marks he needs in final exam is given by
[tex]356-249\\\\=107[/tex]
Hence, the interval would be [71,107]
A cylindrical water tank has a diameter of 6 meters and a height of 9 meters. What is the maximum volume of water the tank can hold? (to nearest whole number) A) 254 m3 B) 509 m3 C) 1018 m3 D) 2290 m3
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Answer:
The answer is A) 254 m3
Which of the following statements best describes the graph of x + y = 4?
It is a line which intersects the x-axis at (4, 4).
It is a line which intersects the y-axis at (4, 4).
It is a line joining the points whose x- and y-coordinates add up to 8.
It is a line joining the points whose x- and y-coordinates add up to 4.
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Whatever numbers you fill in (for x and y), in this formula, it is only correct when their sum is 4. Therefore the graph x + y = 4 is a line joining the points whose x and y coordinates add up to 4. The fourth answer is correct.
y = -x + 4
This graph has a negative 1 slope and is translated 4 units above the origin. Because the slope is -1, it will intercept the x - axis at 4 units and intercept the y - axis at 4 units as well.
The correct answer is D) It is a line joining the points whose x and y coordinates add up to 4
What is the measure of angle x? Enter your answer in the box. x = º Three intersecting lines. Three of the six angles formed by the intersecting lines are labeled. Every other angle is labeled. Going clockwise, they are labeled 56 degrees, x, and 41 degrees.
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83 i am quite certain hope this helps (why did echo delete my answer the first time could of gave me a reason why because that was rude!)
im pretty sure it is 83
hope this help you guys
Anna took a job that paid $200 the first week. She was guaranteed a raise of 5% each week.
How much money will she make in all over 8 weeks?
Round the answer to the nearest cent.
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10*8= 80
total after 8 weeks= $280
The answer is 1909.82 (rounded to the cent).
I just took this test.
Solve each system using elimination.
3x+3y=27
x-3y=-11
9. 2x+4y=22
2x-2y=-8
11. 5x-y=0
3x+y=24
Please show your work!! Thank you!!
Answers
x - 3y = -11-------(2)
Multiplying (2) by 3 we have 3x - 9y = -33 ----(3)
Subtracting (3) from (1) we have
-9y - 3y = -33 - 27
So y = 5. Substituting value of y into (1) we have 3x + 3(5) = 27. So x = 27 -
15/ 3 = 4.
B) Also 2x + 4y= 22 ----(1)
2x - 2y= -8 -----(2)
Subtracting (2) from (1) we have
-2y - 4y = -8 - 22 = -30
-6y = - 30. Hence y = 5. Substituting into (1) we have 2x + 4(5) = 22. X = 22 - 20/2 = 1
C) 5x - y = 0 -------(1)
3x + y = 24 ------(2)
Adding (2) to (1) we have
3x + 5x = 24. X = 24/8 = 3. So y = 5(3) - y = 0. y = 15
On level ground, a vertical rod 12 feet tall casts a shadow 4 feet long, and at the same time a nearby vertical flagpole casts a shadow 12 feet long. how many feet tall is the flagpole?
Answers
[tex] \frac{12}{4} [/tex] = [tex] \frac{Actual₂}{12} [/tex]
Actual = 36 feet
Answer:
36 feet.
Step-by-step explanation:
We have been given that on level ground, a vertical rod 12 feet tall casts a shadow 4 feet long, and at the same time a nearby vertical flagpole casts a shadow 12 feet long.
To find the length of flagpole, we will use proportions as:
[tex]\frac{\text{Actual length of flagpole}}{\text{Shadow of flagpole}}=\frac{\text{Actual length of rod}}{\text{Shadow of rod}}[/tex]
Substitute given values:
[tex]\frac{\text{Actual length of flagpole}}{12\text{ ft}}=\frac{12\text{ ft}}{4\text{ ft}}[/tex]
[tex]\frac{\text{Actual length of flagpole}}{12\text{ ft}}\times 12\text{ ft}=\frac{12\text{ ft}}{4\text{ ft}}\times 12\text{ ft}[/tex]
[tex]\text{Actual length of flagpole}=12\text{ ft}\times 3[/tex]
[tex]\text{Actual length of flagpole}=36\text{ ft}[/tex]
Therefore, the actual length of flagpole is 36 feet.
What is the surface area of the figure shown?
989.1 square centimeters
910.6 square centimeters
1,852.6 square centimeters
832.1 square centimeters
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The total surface area = 910.6 square centimeters. Option B
The surface area of a cylinder with a conical top can be found by calculating the sum of the areas of the circular base, the curved surface of the cylinder, and the lateral surface of the cone.
From the image, we can find that the radius of the cylinder is 5 cm and the height of the cylinder is 13 cm. We are not given the slant height of the cone.
Let's denote the slant height of the cone as sl.
Here's how to find the surface area of each part:
Curved surface area of the cylinder:
2πrh = 2π(5 cm)(20 cm)
= 628.31 cm²
Lateral surface area of the cone
A=πrl+πr2
= π*5*13+π*5²
= 282 square centimeters
Therefore, the total surface area of the cylinder with a conical top is equal to:
Total surface area = Area of circular base + Curved surface area of cylinder + Lateral surface area of cone
Total surface area = 282 + 628.31 cm²
Total surface area = 910.6 square centimeters
At a sporting event the price for 3 cheeseburgers and 2 cups of lemonade is $14 and the price for 2 cheeseburgers and 4 cups of lemonade is $12. how much does it cost for 1 cheeseburger and 2 cups of lemonade
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The Lemonades are $1 each
The answer is $6 for 2 lemonades and 1 cheesburger
please help algebra 2!!
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u^2 + 12u - 64
(u - 4)(u + 16)
Back-substitute for u.
(x^2 - 4)(x^2 + 16)
(x + 2)(x - 2)(x + 4i)(x - 4i)
Answer: Choice a.
The waiter places a bowl in front of Caesar. In a counterclockwise direction, he passes the soup to jada who then passes it to Haifa. Which two rotations about the center of the table describes passing the soup?
A) First 200° and then 80°
B) First 180° and then 72°
C) First 150° and then 60°
D) First 100° and then 40°
Answers
Answer:
Step-by-step explanation:
first 150 then 60
The question is asking for the correct degree of rotations to simulate the passing of a soup bowl at a circular table. Without specific arrangement details, it's challenging to give a definitive answer, but if people are equidistant, option B 'First 180° and then 72°' would be the closest match.
Explanation:The question asks which two rotations about the center of a circular table would describe the passing of a soup bowl from Caesar to Jada and then to Haifa. Given that the rotation is counterclockwise, we must determine the correct degree of rotations that match the sequence of passing the soup. We can visualize the table as a circle and consider that a full rotation around a circle is 360°.
Depending on the actual arrangement of the people around the table, the combined angles of rotation to pass the soup from Caesar to Jada to Haifa should add up to less than 360°, as they would not have gone a full circle. If we were to look at the options provided:
First 200° and then 80° adds up to 280°,First 180° and then 72° adds up to 252°,First 150° and then 60° adds up to 210°,First 100° and then 40° adds up to 140°.The only way to determine the correct answer is to know the specific arrangement of people around the table, which the question does not provide. Without this information, we cannot definitively choose the correct rotations. However, in general terms, if each person is equidistant from the others in a regular polygon arrangement, we can then divide 360° by the number of people to find the angle corresponding to one pass. Assuming five people at the table, each angle would be 72°. In this case, the closest matching option provided would be First 180° and then 72°.
Solve the following system of equations
x + y =-5
-3x - y =7
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-3x-y=7------>【2】×1
3x+3y= -15
-3x-y=7
So,
2y=-8
y=-4
And
-3x-y=7
-3x-(-4)=7
-3x=7-4
x=-1
HOPE IT HELPS UH!!☺️
PLZ MARK IT AS BRAINLIST
2) -3x - y = 7
-----------------
-2x = 2
x = -1
x + y = -5
-1 + y = -5 (put the value of x = -1)
y = -5 + 1
y = -4
So, x = -1
and y = -4
Alternate method:-
1) x + y = -5
x = -5 - y
2) -3x - y = 7
-3(-5 - y) - y = 7 (take the value of x = - 5 - y from equation(1) and put in 15 + 3y - y = 7 equation(2))
2y = 7 - 15
2y = -8
y = -4
1) x = - 5 - y (put the value of y = -4 in equation(1))
x = - 5 -(-4) (negative * negative = positive)
x = - 5 + 4
x = -1
Answer:- x = -1
y = -4
In the circle graph what is the measure of the central angle for carrots and potatoes combined
Potatoes 8%
Carrots 11%
Green beans 12%
Corn 15%
Broccoli 20%
Other 34%
Answers
Combined, carrots and potatoes are 8% + 11% = 19%.
A full circle has 360 deg, so we need 19% of 360 deg.
19% of 360 deg = 19% * 360 deg = 0.19 * 360 deg = 68.4 deg
Answer: The central angle measures 68.4 deg.
Carrots 11%
Green beans 12%
Corn 15%
Broccoli 20%
Other 34%
8+11+12+15+20+34=100
potatoes+carrots=8+11=19
Percent of potatoes and carrots is 19/100.
If we remember that a circle spans 360°, we can find out the measure of the angle for potatoes and carrots.
19 x
____ = ____
100 360
cross multiply
100x= 6840
divide both sides by 100
x=68.4°
Answer=68.4°
What is the area of the manhole if it is 2 ft wide use 3.14 as pi and round to the nearest hundredth
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Formula
------------------------------------
Area = πr²
------------------------------------
Find Radius
------------------------------------
Diameter = 2 ft
Radius = Diameter ÷ 2
Radius = 2 ÷ 2
Radius = 1 ft
------------------------------------
Area of the manhole
------------------------------------
Area = πr²
Area = (3.14)(1)²
Area = 3.14 ft²
------------------------------------
Answer: 3.14 ft²
------------------------------------
Find the average rate of change of
f(x) = -2x² - x from x=1 to x=6
Simplify your answer as much as possible
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can someone help me find the y-intercept and explain how you got that answer?
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recall point slope form of a line is
[tex]y - y1 = m(x - x1)[/tex]
we plug in a point (6,0) and a slope from our line and get
[tex] y - 0 = - 4(x - 6)[/tex]
simplify
[tex]y = - 4x + 24[/tex]
FINAL ANSWER
[tex]y \: int = 24[/tex]
A toddler crawled 2 yards, stopped, then continued to crawl 8 more feet. How many feet did he travel in total?
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The toddler crawled a total of 14 feet after converting the initial 2 yards into feet and adding the additional 8 feet crawled.
To determine the total distance the toddler traveled, we first need to convert the units so they are the same. We know that 1 yard is equivalent to 3 feet. If the toddler crawled 2 yards initially, we can calculate this distance in feet as follows:
2 yards * 3 feet/yard = 6 feet
After stopping, the toddler continued to crawl for 8 more feet. To find the total distance traveled, we simply add the two distances together:
6 feet + 8 feet = 14 feet
Therefore, the toddler traveled a total of 14 feet.
What is the value of x?
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JL = LK*sin(30°) = (8√2)*(1/2) = 4√2
LM/JL = sin(45°)
LM = JL*sin(45°) = (4√2)*(1/√2) = 4
x = LM = 4
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.
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The inscribed quadrilateral conjecture says that opposite angles in an inscribed quadrilateral are supplementary. Thus we know that
A+C = 180
(x+2) + (x-2) = 180
Combining like terms we have:
2x = 180
Divide both sides by 2:
2x/2 = 180/2
x = 90
Thus A = x+2 = 90+2 = 92°,
C = x-2 = 90-2 = 88° and
D = x-10 = 90-10 = 80°.
To find the measure of ∠B, we subtract the sum of the three other angles from 360°:
∠B=360 - (92+88+80) = 360-260 = 100°
In a circle, adjacent angles of a quadrilateral sum up to 180 degrees. Thus, all angles in quadrilateral ABCD inscribed in a circle would each sum up to 180°. Consequently, sum of all the angles of the quadrilateral is 360°.
Explanation:In a circle, adjacent angles of a quadrilateral sum up to 180 degrees. Since a circle consists of 360 degrees, the quadrilateral ABCD has four angles, each angle would sum up to 180 degrees as well. This is because when two cords intersect each other in a circle, they split each other into two segments and the product of the segments of one chord is equal to the product of segments of the other chord.
Let's take an example if we have the angles as A, B, C, and D: A + B = 180° and C + D = 180°. So all the angles of the quadrilateral ABCD inscribed in a circle will sum up to 360°. Hence, A + B + C + D = 180° + 180° = 360°
Learn more about Quadrilateral in Circle here:https://brainly.com/question/35548403
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What is the graph of the equation 4x – 5y = 15?
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have a good day
Factor the polynomial. 6x2 - 7x - 3 A) (6x - 1)(x + 3) B) (6x + 3)(x - 1) C) (2x - 3)(3x + 1) D) (3x - 3)(2x + 1)
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= (3x + 1)(2x - 3)
answer
C) (2x - 3)(3x + 1)
hope it helps
Pleasee hurryyyy
Asap
Correct as will get brainliest
Answers
So: (1,27) and (5, -213):
Using rate of change formula:
-213 - 27 = -240
5 - 1 = 4
-240/4 = -60, so it works.
19/8 as a mixed number
Answers
think
Here is your answer:
The proper answer to this question is "2 3/8"
Here is how:
Divide 19 by 8.
19/8=
2 3/8
All you have to do is find the closest number that its multiplied to (which is 16) and 2 times 8 =16 then add 3 to get to 19 which equals 19/8.
Your answer is 2 3/8!
If you need anymore help feel free to ask me!
Hope this helps!
Austin left for school at 7:35
a.M.He arrived at school 15 minutes later.What time did Austin arrived at school?