An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant.
What must an answer about a indefinite integral of a function include?
A definite integral is an infinitesimal sum derived from a integrable function, that is, a function that exist for all value x within the range of integration.
[tex]\int {f(x)} \, dx = \lim_{n \to \infty} \sum\limits_{i=0}^{n} f(x) \Delta x + C[/tex] (1)
Where C is the integration constant.
An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant. [tex]\blacksquare[/tex]
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Explain the difference between acute, right, and obtuse angles.
Source
StylesFormatFontSize
Answer:
Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.
Step-by-step explanation:
Answer:
Skip to the bottom for image examples, read on for definitions.
Acute angles are angles less than 90 degrees.Right angles are exactly 90 degrees.Obtuse angles are 91 degrees or more.For example, I sliced a pie, and it was an acute angle. Or I could have bought a taco and that taco has an obtuse angle, while if I just picked up a mini-square-cake, it is made of many right angles. And yes, I did draw those images myself as examples.
________________________________________________________
Look around you, there are angles everywhere! Your computer might even have a few acute and right angles in it.
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What have we learned?We learned the three main types of angles.
Related questions? Ask me in the comments box.
Hello, for those who wanted examples, you have reached the bottom. Please view the images for the examples of each angle type, definitions are not listed on purpose, I want you to guess them yourself as an easy review.
Michael solved this inequality as shown:
Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x > -1
What property justifies the work shown between step 3 and step 4?
A.
transitive property
B.
division property of inequality
C.
distribution property
D.
addition property of inequality
Answer:
D. addition property
Step-by-step explanation:
at step 3 you would have to add 8 to both sides of the inequality, so it would be the addition property
Answer:
D
Step-by-step explanation:
customer pays
$
96
for
6
pillows. If each pillow costs the same amount, what is the cost per pillow, in dollars?
Answer:
96 / 6 = 32 / 2 = 16 / 1 = 16 per pillow
Step-by-step explanation:
Answer:
$16
Step-by-step explanation:
To find the cost of a single pillow, you have to divide the total cost of the pillows ($96) by the number of pillows purchased (6).
96 / 6 = 16
Therefore, the cost per pillow, in dollars, is $16. I hope this helps! Have a lovely day!! :)
PLS PLS PLS PLS HELP WITH THIS MATH
Answer:
Step-by-step explanation:
Sequence 1 Sequence 2 Ordered Pair
9 5 (9,5)
11 8 (11,8)
13 11 (13,11)
15 18 (15,18)
17 20 (17,20)
Rebekah finds that a solution of sugar in water has a volume of 1.32 fl. oz. how should she report this amount using the metric system? (1 fl. oz. = 29.6 ml) 0.403 m 1.40 qt 37.5 g 39.1 ml
Rebekah reports the volume of sugar solution using metric system as 39.1 mL. Thus, option D is correct.
What is metric system?The metric system has been the measurement system introduced in 1790s. The system has mediated the units for the measurement of volume, mass, length.
The volume has been the space that has been occupied by matter. The volume can be denoted with SI unit L. However, the another accepted unit for volume has been mL.
Thus, the volume of sugar solution has been reported in mL.
The given sugar solution has volume of 1.32 fl. Oz
The volume in mL can be given as:
[tex]\rm 1\ fl\ oz=29.6\ ML\\\\1.32\ fl\ oz=-1.32\times 29.6\ ML\\\\1.32\ fl\ oz=39.1\ ML[/tex]
The volume of the sugar solution reported by Rebekah on the metric scale has been 39.1 mL. Thus, option D is correct.
For more information about the metric system, refer to the link:
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Answer: 39.1 mL (D)
Step-by-step explanation:
ed
ignore the scribble but could somebody please help me?
Answer:
Below in bold.
Step-by-step explanation:
To get a stratified sample you work out the proportion of girls from each school.
From school A we take: (126/461) * 80 = 22 girls.
From B :- (82/461) * 80 = 14 girls.
From C :- (201/461)*80 = 35 girls
From CD :- (52/461)*80 = 9 girls.
Which transformation or sequence of transformations would produce an image that is not congruent to its pre‐image?
A translation of (x − 2, y + 9)
A translation followed by a rotation
A rotation of 270 degrees about the origin
A dilation followed by a translation
Answer:
A dilation followed by a translationStep-by-step explanation:
A dilation would change the size of the figureHence, on changing it, the transformation will form an image that is not congruent to its pre-imageThe transformation or sequence of transformations that would produce an image that is not congruent to its pre-image is:
A dilation followed by a translation.
If we follow a dilation with a translation, the image will be both resized and shifted. The combination of these transformations will result in an image that is not congruent to its pre-image.
On the other hand:
A translation of (x − 2, y + 9) will shift the object without changing its size or shape. The resulting image will be congruent to the pre-image.
A translation followed by a rotation can result in a congruent image if the rotation angle and translation distance are appropriately chosen. It depends on the specific values used in the transformation.
A rotation of 270 degrees about the origin will preserve the shape and size of the object. The resulting image will be congruent to the pre-image.
To learn more about translation in geometry;
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A 10 ft extension ladder is positioned to reach 7.4 ft up a wall. How far from the wall is the foot of the ladder.
Answer:First, draw a picture.
Distance on ground = 10 feet
Length of ladder (hypotenuse) = x [unknown for now]
Height on wall = x-2
The Pythagorean theorem says, for a right triangle: a2+b2=c2
[note: the hypotenuse, c, is always the longest side]
102 + (x-2)2 = x2
100 + x2 -4x + 4 = x2 [expand using F-O-I-L]
100 -4x + 4 = 0 [subtract x2 from both sides]
104 - 4x = 0 [collect terms]
-4x = -104 [subtract 104 from both sides]
x = 26 [divide both sides by (-4)]
Check:
Is 102 + 242 = 262 ?
100 + 576 = 676 ?
676 = 676 ?yes
Step-by-step explanation:
a construction crew is lengthening a road
Answer:
Step-by-step explanation:
possible answers for both domain and range can be the following:
all set of all real numbers from 0 to 90;
all set of all real numbers from 200 to 560;
all set of all real numbers from 4 to 200;
(90, 91, 92, 93, ..... 560) ;
90, 91, 92, 93, .......; or
0, 1, 2, 3, .... 200
5. Find the Mean Absolute Deviation of the set: 56, 21, 55, 30, 34
Answer:
[tex] mean = \frac{56 + 21 + 55 + 30 + 34}{5} \\ mean = 39.2[/tex]
When a tangent line and a radius intersect on the surface of a circle,
which of the following holds true?
Answer:
c
Step-by-step explanation:
When a tangent line intersects with a radius of a circle at the point of tangency, they will be perpendicular. Tangent lines that meet two different circles. Since a tangent line is perpendicular to the radius of the circle, extend the radius outside of the circle.
Mrs. G bought 6 boxes of Girl Scout Cookies. 3 boxes had 16 cookies each and 2 boxes has 12 cookies each. If the total number of cookies in all 6 boxes is 102. how many cookies are in the last box? Write an equation to solve.
PLEASEEE HELPPP 30 POINTSSS!!!
Professor Plum is putting a brick border around his irregular shaped garden. Before installing
the border, Professor Plum must cut the bricks to fit the angles of the garden. Use the given
measures to answer the question.
∡ = (6)°
∡ = (3 + 45)°
∡ = (7)°
∡ = (4 + 2)°
∡ = (2 + 15)°
∡ = ( − 9)°
What are the angle measures of each vertex of the garden? Show your work.
Answer:
174; 132; 203; 118; 73; 20°.
Step-by-step explanation:
1) the sum of the internal angles of the given figure is:
S=180*(n-2), where 'n' is number of the angles.
2) according to the rule above the sum of all the internal angles is 720°;
3) according to the item 2, m∠A+m∠B+m∠C+m∠D+m∠E+m∠F=720°. If all the angles are known, then it is possible to re-write this equation as:
6x+(3x+45)+7x+(4x+2)+(2x+15)+(x-9)=720;
23x=667; ⇔ x=29.
4) if x=29, then m∠A=174; m∠B=132; m∠C=203; m∠D=118; m∠E=73; m∠F=20°.
don't spam!! complete answe= Brainliest answer
Answer:
Step-by-step explanation:
1) [tex]\sf v_{f} =v_{i} +gt[/tex]
= 50 + (-9*8) *1
= 50 - 9.8
= 40.2 m/s
2) The acceleration of the ball at its maximum height equals to the force of gravity. -9.8 m/s²
3) The velocity at its top of the path:When the ball is thrown straight up, its velocity keeps on decreasing due the pull of gravity which pulls it towards the ground. So, the velocity at the top of its path is zero.
Two-step inequalities
Find the solution set of the inequality
4.2 - 1< 11.
Answer:
x < 3
Step-by-step explanation:
Your inequality: 4x - 1 < 11
4x - 1 < 11
Add 1 to both sides
4x < 11 + 1
4x < 12
**Don't switch signs because no negatives nor any specifications**
Divide 12 by 4
x < 3
The freight charge on a shipment of 1200 kg is $84. 0.
Which is the rate per 100 kg?
A $0. 78
B. $4. 00
C. $5. 70
D. $7. 00
E $10. 8
9)Which expression is equivalent to 3(2x + 5), no matter what value is substituted in for x?
A) 5x + 8
B) 5x + 5
06x+5
D) 6x + 15
Answer:
D) 6x+15 is the correct answer.
Step-by-step explanation:
You need to do distributive property to simplify the expression.
3(2x+5) is your expression
You need to multiply 3 by 2x and 5
6x+15 is your final.
Therefore, D is the correct answer.
what is the inequality shown
Answer:
[tex]-2\leq x < 8[/tex]
Step-by-step explanation:
It is between -2 and 8, and includes -2 but not 8
What’s the distance between the points (-4,3) and (1,-2) on the cord I ate plane
Answer:
[tex]5\sqrt{2}[/tex] or 7.07 (rounded to hundredths place)
Step-by-step explanation:
what is the "cord I ate plane"?
Calculate the perimeter of the shape below
Answer:
21.2
Step-by-step explanation:
4.1 + 6.5 = 10.6
10.6 x 2 = 21.2
log4(2-x)=log4(-5x-18)
[tex]\log_4 (2-x) = \log_4 (-5x-18)\\\\\implies 2-x = -5x -18\\\\\implies 5x -x = -18-2\\\\\implies 4x = -20\\\\\implies x = -\dfrac {20}4\\\\\implies x = -5[/tex]
while on vacation Ernesto travelled from us to Europe when he got there he converted his american dollar to euros he gave the bank teller 850$and was given back 630 euros at the end of vacation Ernesto has 150 euros to convert back to dollar how much money in us dollar did Ernesto have when he got home
Answer:
I think it would be 161.9 or 162
Please help me it's very important that this gets done asap
Answer:
√32 or 4√2 or 5.657 (3 d.p.)
Step-by-step explanation:
Use Pythagoras’ Theoremd² + 7² = 9²Evaluate the known squaresd² + 49 = 81Subtract 49 from both sides to make d² the subjectd² = 81 - 49 = 32d = √32 = 4√2 = 5.657 (3 d.p.)Help me pls I don't understand this pls help me! :I
350in^3 x 1 gal/231in^3
Answer:
3 1/16 galones = 707 pulgadas cúbicas
Step-by-step explanation:
Fórmula: multiplica el valor en gal por 231
Luego, 3 1/16 gal × 231 = 707 in³
What is the product of 5/8 x 3/4 A 8/32
B 15/32
C 8/12
D 15/12
Susan mixes red and blue paint to make purple.
Red
2 parts of red paint with 3 parts of blue paint make purple.
Susan has 50 ml of red and 100 ml of blue.
What is the maximum amount of purple she can make?
Answer:
125 mL
Step-by-step explanation:
Susan's purple paint has the proportions 2 parts red and 3 parts blue. That means the total amount of paint is (2+3)/2 = 5/2 the amount of red paint, or (2+3)/3 = 5/3 the amount of blue paint.
__
The total amount of paint Susan has is 50 mL +100 mL = 150 mL.
If Susan uses all of her red paint (with sufficient blue paint), she would have an amount of purple paint equal to ...
(5/2)(50 mL) = 125 mL . . . . purple paint
If Susan uses all of her blue paint (with sufficient red paint), she would have an amount of purple paint equal to ...
(5/3)(100 mL) = 166 2/3 mL . . . . purple paint
This is more paint than Susan has, so the amount of purple paint Susan can make is limited by the amount of red paint she has. Susan can make a maximum of 125 mL of purple paint.
_____
Additional comment
Essentially, we have rewritten the proportion to show corresponding amounts of red and blue paint:
red : blue = 2 : 3 = 50 : 75 = 66 2/3 : 100
Since Susan has only 50 mL of red, and more than 75 mL of blue, the red paint is the limiting ingredient.
hey guys is this correct?
Please help I am confused:)
Step-by-step explanation:
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Please help I will give
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and a THANKS
Answer:
19, 39
Step-by-step explanation:
10 colums w/ 2 rows = 20 with 1 non blue = 19 blue blocks
20 columns w/ 2 rows = 40 with 1 non blue = 39 blue blocks
If a box of anything is £5. 50 for 1kg, what would 320g cost?
Answer:
Your answer is £1,760
Step-by-step explanation:
1 kg = £5.50
5.50 x 320 = 1,760