The indefinite integral means the integration without limit is known as indefinite integral. The indefinite integral of the function (4 + x⁵) is given below.
[tex]4x + \dfrac{x^6}{6} + c[/tex]
What is integration?It is the reverse of differentiation.
Then the general indefinite integral will be
[tex]\rm \rightarrow \int (4+ x^5) dx \\\\\rightarrow 4x + \dfrac{x^6}{6} + c[/tex]
Where c is the constant of integration.
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Marilyn selects a piece of candy at random from a
jar that contains four peppermint, five cherry, three
butterscotch, and two lemon candies. What is the
probability that the candy she selects is not a cherry
candy?
(WILL MARK BRAINLIEST)
Answer: 9/14
Step-by-step explanation: 4+3+2/4+5+3+2 = 9/14
HELP ASAP PLS GUVING BRAINEST
Answer:
In order for the shapes to be in the same category, we need the following: 2 triangles and 1 quadrilateral with 2 sets of parallel lines.
Step-by-step explanation:
Remember Generalization is like an inference.
You need to write a statement that is based on the given information about Anna's shapes.
_______________________________________________________
If we look at Anna's shapes we have 2 quadrilaterals and 1 triangle.
Then, the "following" shapes have the same properties meaning 2 quads and 1 triangle.
We can go straightforwardly by saying the shapes that Anna chose are 2 quadrilaterals and 1 triangle.
Parallel sides are only shown on 2 of the shapes (the square and the parallelogram).
There are 3 triangles: 1 right, 1 obtuse, and 1 equilateral or acute.
______________________________________________________
Here's my generalization:
If we look at the shapes that Anna chose, we can identify 2 quadrilaterals and 1 triangle. The following shapes don't belong with the ones she chose because there are 2 triangles (equilateral and one right triangle). Then, we have a square with 2 sets of parallel lines which the parallelogram has. The other quadrilateral doesn't have any parallel lines which can't be a trapezoid either. In order for the shapes to be in the same category, we need the following: 2 triangles and 1 quadrilateral with 2 sets of parallel lines.
PLS HELP ME I NEED THE ANSWERS FOR EACH I WILL GIVE U A 5 RATING AND POINTS
Answer:
1. 600 cm^3
2. 24 cm^3
3. 540 cm^3
4. 1476 cm^3
Step-by-step explanation:
1. rectangular prism volume equation is: V = lwh, where l = length, w = width, h = height. Substitute known values into this equation: V = 5 x 8 x 15 and we get V = 600 cubic cm.
2. V = (1/2)bhl, where the base and height are dimensions of the triangle. V = (1/2)6 x 2 x 4 and we get V = 24 cubic cm
3. V = Bh, where B is the base area and h is the perpendicular height. V = 45(12). So, V = 540 cm^3
4. Same thing with this one: V = Bh. Substitute known values into this equation: V = 82(18), which means V = 1476 cm^3
helpppppp asapppppppppppp
Answer:
2,000
4,000
7,000
put points on (2, 2,000) - (4, 4,000) - and (7, 7,000)
Step-by-step explanation:
What’s the circumference?
Answer:
if you want in terms of π, then 3π
if you want it without π, then 9.42
Step-by-step explanation:
plug into formula
3= diameter
c=πd
c=π*3
3π or
π=3.14
so 3.14*3, which is 9.42
Answer:
3π if in terms of pi or 9.42 if π= 3.14
Step-by-step explanation:
what is (4/9) to the power of 2 AS a fraction??
Step-by-step explanation:
[tex] = ( \frac{4}{9} {)}^{2} \\ [/tex]
[tex] = \frac{ {4}^{2} }{ {9}^{2} } \\ [/tex]
[tex] = \frac{16}{81} \\ [/tex]
The required power 2 of 4/9 in fraction form is 16/81.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b be two numbers, then their fraction can be represented as a/b.
The given fraction is,
(4/9)
To find the power 2 of fraction 4/9,
Use mathematical operations,
4/9 to the power 2 = (4/9)²
= (4/9)x(4/9)
= 16 / 81
The power 2 of 4/9 as a fraction is 16/81.
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3 m
3 m
3 m
6 m
Area:
Answer:
The area is 27m.
Step-by-step explanation:
We can first seperate this shape into two shapes. I seperated the 3x6 rectangle and the 3x3 square. Now we can find the area of these individual shapes. 3x3=9 and 3x6=18. We can now add these two numbers together to get the area of this shape. 9+18=27m. Therefore, the area of this shape is 27m.
Can someone please help me
Answer:
1 true
2 false
3 false
4 true
a number that has four identical even
factors. Each factor must be greater than 1 and
can have only 1 and itself as factors.
Answer:
210?
Step-by-step explanation:
210 has factors of 2, 3, 5, and 7
PLS HELP ILL GIVE BRAINIEST PLSSSSS
An art test has 15 questions. A student answers 80% correctly.
How many questions does the student answer correctly?
Enter your answer in the box.
questions
Answer:
The student gets 12 questions correctly.
Step-by-step explanation:
The test has 15 questions, multiply this by .8 to get how many questions he got correct.
Questions answered correctly
80% of 150.8(15)120/1012QuestionsDone
A store buys 17 sweaters for $204 and sells them for $646. how much profit does the store make per sweater?
Total profit: 646 - 204 = 442
profit per shirt = 442 / 17 = 26
Answer: $26
Find the volume and surface area of the figure below.
The volume of the prism is determined as 1,416 m³ and the surface area of the prism is 664.8 m².
Volume of the prismThe volume of the prism is determined from the product of base area and slant height of the prism.
Base of the prism, A = ¹/₂bh = ¹/₂ x 12 x 20 = 120 m²
Volume = AL
where;
L is the slant heightL² = (12/2)² + (20.3/2)²
L² = 6² + 10.15²
L² = 139.0225
L = 11.8 m
V = AL
V = 120 x 11.8 = 1,416 m³
Surface area of the prismA = bh + pL
A = (12 x 20) + 11.8(12 + 12 + 12)
A = 664.8 m²
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Which of the following systems is dependent?
x − y = 2 and x y = −2
x − y = 2 and −2x 2y = −4
x − y = 2 and 3x − 3y = 2
x − y = 2 and −x − y = −2
The system of equation x − y = 2 and −2x+2y = −4 is dependent becasue the they have same coefficient of x and y option second is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
As we know, if the two linear equations have the same coefficient of x and y they are dependent or if the graph of two linear equations is the same then the equations are dependent.
From the given options, we can see the system of equations:
x − y = 2 and −2x + 2y = −4 are the same equation.
Take the equation −2x + 2y = −4 and divide by -2 on both sides, we get:
x - y = 2
This is the same equation as x − y = 2
Thus, the system of equation x − y = 2 and −2x+2y = −4 is dependent becasue the they have same coefficient of x and y option second is correct.
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factor 8x^3y + 38x^2y - 10xy
Answer:
2xy(x+5)(4x−1)
Step-by-step explanation:
1 Find the Greatest Common Factor (GCF).
GCF = 2xy
2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)
3 Simplify each term in parentheses.
2xy(4x^2 +19x−5)
4 Split the second term in 4x^2+19x-5 into two terms.
2xy(4x^2 +20x−x−5)
5 Factor out common terms in the first two terms, then in the last two terms.
2xy(4x(x+5)−(x+5))
6 Factor out the common term x+5.
2xy(x+5)(4x−1)
a circular flower bed is 20 meters in diameter and has a circular sidewalk around it that is 3 meters wide . find the area of the sidewalk in square meters . use 3.14 for pie. and round to the nearest whole number
Answer:
Step-by-step explanation:
this is two circles, one inside the other, circles have an area of pi*[tex]r^{2}[/tex] the flower bed is 20 meters in diameter or 10 meters in radius.
flower bed Area = 3.14*[tex]10^{2}[/tex]
flower bed Area = 314 [tex]m^{2}[/tex]
circle of sidewalk adds 3 meters
sidewalk circle area = 3.14*[tex]13^{2}[/tex]
sidewalk circle area = 530.66
subtract the flower bed area from the sidewalk area, and you have just the walk way it self.
530.66 - 314 = 216.66 [tex]m^{2}[/tex] for the sidewalk only
[tex] \huge \rm \color{red}help \: pls[/tex]
Choises :
• 1260°
• (n-2) × 180°
• 360°
• (n- 2)×180°
----------------
n
• 180°
•30m
1. YOU ARE ASKED TO FIND THE SUM OF THE MEASURES OF THE EXTERIOR ANGLES OF A DECAGON, WHAT DO YOU THINK IS THE TOTAL MEASUREMENT OF THE EXTERIOR ANGLES OF A DECAGON? _________
2. NINA IS CONFUSED ON WHAT FORMULA SHE WILL USE TO FIND THE MEASURES OF EACH INTERIOR ANGLE OF AN OCTAGON, CAN YOU GIVE HER THE APPROPRIATE FORMULA TO USE? ____________
3. VINCE WANTS TO BUILD A REGULAR HEXAGON PLAYGROUND IN HIS GARDEN. HOW MUCH FENCING HE WILL NEED TO BUY IF EACH SIDE MEASURES 5M? ___________
4. THE SURFACE OF A WARNING SIGN IS IN THE SHAPE OF A REGULAR TRIANGLE. WHAT IS THE SUM OF THE INTERIOR ANGLE OF THE SIGN?
_____________
5. LOU IS TRYING TO FIND OUT WHAT IS THE SUM OF ALL THE INTERIOR ANGLES OF A PENTAGON, WHAT IS THE APPROPRIATE FORMULA TO USE?
______________
The sum of the exterior angles of a decagon is 360 degree if each exterior angle measure is 36 degree.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have:
Decagon, in which the number of sides is 10
The formula for the sum of the interior angles in n number of polygon:
Sum = 180(n - 2)
Plug n = 10
Sum = 180(10-2)
Sum = 1440
Each interior angle = 1440/10 = 144 degree
Each exterior angle = 180 – 144 = 36 degree
The sum of the exterior angles = 36×10 = 360 degree
Similarly, we can find any angle measure for interior or exterior by using the formula:
Sum = 180(n—2)
Where n is the number of sides.
Thus, the sum of the exterior angles of a decagon is 360 degree if each exterior angle measure is 36 degree.
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The ratio of two angles is 5:3. The two angles are supplementary,
What is the measure of each of the angles in the angle pair?
A rectangle is four times as long as it is wide. If it has an area of 36 square inches, what are its dimension?. a. 6 by 6 c. 4 by 9 b. 3 by 12 d. 4 and 8 Please select the best answer from the choices provided A B C D
Answer:
B. 3 by 12
Step-by-step explanation:
[tex]x(4x) = 36[/tex]
[tex]4 {x}^{2} = 36[/tex]
[tex] {x}^{2} = 9[/tex]
[tex]x = 3[/tex]
[tex]4x = 12[/tex]
So the length is 12 inches, and the width is 3 inches.
Divide. Give the quotient and the remainder.
1197/2
Answer:
1197/2
598 R 1
598½
Step-by-step explanation:
use division method
Answer:
2 divided by 1197 equals 598 with a remainder of 1.
Step-by-step explanation:
There is also another way to do divison if it is confusing for others.
If you multiply 598 and 2 that equals 1196. That is the closest number that can go into 2 598 times. So what i am trying to say is that since the problem is 2 divided by 1197 you have to figure out what number you need to multiply that can go into two. So 2 divided by what equals 1197 OR 2 divided by what number can equal 1197 or any number that is close to 1197. So 598 times 2 equals 1196. With a remainder of 1
I hope this helps because this strategy worked for me when i first learned division so i hope this helps as well :)
Doreen Short was looking over the repayment schedule for a loan of $40,000. 00 at 9% for 4 years with a monthly payment of $995. 40.
Find the final payment and amount saved if :
A. ) The loan is paid off with payment 30 with a previous balance of $17,565. 74
B. ) The loan is paid off with payment 36 with a loan balance of $12,285. 66
C. ) The loan is paid off with payment 48 with a previous balance of $988. 9
Doreen Short was looking over the repayment schedule for a loan of $40,000, the final payment and amount saved for the options are mathematically given as
F=17697.5 , AS=1215.12F=12377.80, AS=$562.40F=$995.40, Amount saved is zeroWhat is the loan is paid off with payment 30 with a previous balance of $17,565. 74?Generally, the equation for the interest is mathematically given as
I= balance*percentage/12
Therefore
I=17,565. 74*0.09/12
I=131.7
The final payment
F=I+B
F=131.7+17,565. 74
F=17697.5
Amount saved
AS=19*995.40 -17697.5
AS=1215.12
b) For the loan is paid off with payment 36 with a loan balance of $12,285. 66
I= balance*percentage/12
Therefore
I= 12,285. 66*0.09/12I92.142
I=92.142
Final payment
F=I+B
F=92.142+12377.80
F=12377.80
Amount saved
AS=13*995.40-12377.80
AS=$562.40
c) For the loan is paid off with payment 48 with a previous balance of $988. 9
I= balance*percentage/12
I= 988.09*0.09/12
I=7.41
Therefore
F=7.41* +988.09
F=$995.40
The Amount saved is zero
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A rectangle has a length of 10 cm and the width of 7 cm. what the perimeter
Twice x increased by five is 27. What is x?
Answer:
x=11
Step-by-step explanation:
2x+5=27
2x=22
x=11
(30 BRAIN POINTS ) HELP ME I MUST WIN THIS TEST >:(
Answer:
it is greater for group B than group A
A, B and C form a triangle where ∠BAC = 90°
AB = 4.4mm and BC = 14.8mm
Find the length of AC, giving your answer rounded to 1 decimal place.
Answer:
............ .. .......
Answer:
14.1 mm
Given:
∠BAC = 90° (angle A should be 90°)
AB = 4.4mm
BC = 14.8mm
See the diagram given below.
Solving using Pythagoras Theorem: a² + b² = c²
x² + 4.4² = 14.8²
x = 14.8² - 4.4²
x = 219.04 - 19.36
x = 199.68
x = √199.68
x = 14.13 ≈ 14.1 mm (rounded to 1 decimal place)
A circle's radius is 6 inches. What is the circle's area?
Use 3.14 for pi and round your answer to the nearest tenth.
Answer:
9*9*3.14= 254.34
Area= 3.14 (pi)*radius suqare
Step-by-step explanation:
:)
A rectangle has a length of 11.8cm and a width of 8.3. What is the area of this rectangle?
A. 48.36cm
B. 96.76cm
C. 107.2cm
or 140.76cm?
Big thanks to anyone that helps
Answer:
a
Step-by-step explanation:
Answer:97.94
Step-by-step explanation:
11.8*8.3 = 97.94
A small bottle of water weighs 5/8 pound. A carton hdds 30 small bottles of water.
How many pounds do the 30 small water bottles weigh? Move numbers to the boxes to show the answer. If there is no whole number, put a 0 in the first box
in the first box
The weight in pounds do the 30 small water bottles when the weight of one bottle is 5/8 pound is 75/4 pounds.
How to measure the weight?Weight measurement is the measurement of the heaviness of a object. The units of weight measurement are pounds, grams, kilograms etc.
A small size bottle of water which has the weighs 5/8 pound. One carton has total 30 small bottles of water.
Let the weight in pounds do the 30 small water bottles has is x. Thus,
[tex]x=\dfrac{5}{8}\times30\\x=\dfrac{5}{4}\times15\\x=\dfrac{75}{4}\rm\; pounds[/tex]
Thus, the weight in pounds do the 30 small water bottles when the weight of one bottle is 5/8 pound is 75/4 pounds.
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D. When a number is subtracted from the numerator and denominator of 4/3 the result is more than 2/3. Find the number
Answer:
Let us solve this
We’ll do it by the elementary method
Suppose the original fraction be x/y
Given, x : y = 2:3 ……(i)
then y = 3/2x
Now , by condition,
(x-6)/y = 2/3 * x/y
=> (x-6)/y = 4/9 [ from (i) ]
=> x-6 = 4/9y = (4/9)(3/2)x = 2/3x
=> 3x-18 = 2x [cross multiplication]
=> x = 18
Your Answer: the numerator of the original fraction is = 18
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Have a nice day
Help Please…. I don’t really understand the question
Step-by-step explanation:
if you don't even understand the question, this is also something you need to tell your teacher. it is his/her job to make you understand it.
a probability is always
desired cases / possible cases
so, if we pick a single student randomly, how many possible options do we have ?
we have 2+5+6+9 = 22 students (as the 4 categories in the table are mutually exclusive).
therefore, our possible cases to pick a student are 22.
now, how many of these 22 students represent our desired cases ?
male, who does not have an A : 9
so, the probability to pick a student who is male and does not have an A is
9/22 = 0.409090909...
Justine ran for 35 minutes on monday, for 1 hour and 10 minutes on Wednesday , and for 1 hour and 15 minutes on friday. How many total minutes did Justine run?
Answer:
3 hours or 180 minutes
Step-by-step explanation:
This one should be an easy one
First, lets convert everything to units
35 + (1 hour and 10 minutes or 70 minutes) + (1 hour and 15 minutes or 75 minutes) = 35 + 70 + 75 = 180 minutes, or 3 hours.
Hope it helps :)