An antiderivative of a function is also known as integral of function. We are being ask to integrate the following function.
[tex]\int f(x)dx=\int 10x+3dx[/tex]
This function is relatively easy to integrate because its just a sum of terms with various exponents.
[tex]\int 10x+3dx=5x^2+3x+C[/tex]
To check, you can perform derivative on the function you got from antideriving. If it equals to the original function, then antiderivation procedure was done correctly.
[tex]\frac{d}{dx}5x^2+3x+C=10x+3=f(x)[/tex].
Et voilà.
Hope this helps.
2x = 4y + 8, x - 2y = 4
System of Equations
Answer:
Step-by-step explanation:
2x=4y+8
divide by 2
x=2y+4
and x-2y=4
or x=2y+4
so both the equations represent the same line.
What's the answer for m⁶ - 25
Step-by-step explanation:
[tex] {m}^{6} - 25 \\ { {m}^{3} }^{2} - {5}^{2} \\ x = {m}^{3} b = 5 \\ ( {m}^{3} - 5)( {m}^{3} + 5)[/tex]
A class has three fewer girls than boys. If the ratio of girls to boys is four to five, how many students are there in the class?
Answer:
27
Step-by-step explanation:
Girls = boys - 3
girls / boys = 4/5
Substitute (boys - 3) in for girls
boys - 3 / boys = 4/5 Cross multiply
5(boys - 3) = 4* boys Remove the brackets
5boys - 15 = 4boys Subtract 5 boys from both sides.
-5boys -5boys
- 15 = - boys Multiply both sides by - 1
15 = boys
Girls = boys - 3
girls = 15 - 3
girls = 12
Total 15 + 12
total = 27
Nachelle went to the store to buy some almonds. The price per pound of the almonds is $6.50 per pound and she has a coupon for $4.75 off the final amount. With the coupon, how much would Nachelle have to pay to buy 5 pounds of almonds? Also, write an expression for the cost to buy pp pounds of almonds, assuming at least one pound is purchased.
Step-by-step explanation:
hope this will help you mark me as brinalist friend please
The amount paid for the 5 pound of almond by Nachelle is $27.75.
What is meant by the term equation?In its most basic form, an equation is a numerical declaration that demonstrates that two formulas are equal. 3x + 25 = 14, for example, is an equation whereby a 3x + 25 and 14 are 2 expressions separated by a 'equal' sign.Let 'p' be the number of pounds of almonds purchased by Nachelle.
Let 'c' be the total cost paid.
The cost of per pound of the almonds is $6.50 per pound.
The amount of the coupon is $4.75.
Thus, the equation will be ;
c = 6.50p - 4.75 ......equation.
For number of pounds p = 5.
c = 6.50×5 - 4.75
c = $27.75
Thus, the amount paid for the 5 pound of almond by Nachelle is $27.75.
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Which equation represents the line that passes through (-8,11) and
and (4, 7/2)?
A) y = -5/8x + 6
B) y = -5/8x + 16
C) y = 15/2x - 49
D) y = -15/2x + 71
Answer:
A) y = -5/8x + 6
Step-by-step explanation:
y2 - y`1 / x2 - x1
7/2 - 11 / 4 - (-8)
-15/2 / 12
= -5/8
y = -5/8x + b
11 = -5/8(-8) + b
11 = 5 + b
6 = b
Answer:
Option (A)
y = - 5 / 8 x + 6
Step-by-step explanation:
Two points are
(x', y') = ( - 8, 11 )
(x'', y'') = (4, 7/2)
The equation o line passing through two points is given by
[tex](y - y') = \frac{y'' - y'}{x''-x'}(x-x')\\\\(y - 11)= \frac{\frac{7}{2}-11}{4+8} (x + 8)\\\\y - 11 = \frac{-5}{8}(x + 8)\\\\y -11 = \frac{-5x}{8} - 5\\\\y = \frac{-5x}{8} + 6[/tex]
So, option (A) is correct.
El solar de María tiene forma rectangular los lados miden 36 cm y 40 cm cuántos metros cuadrados tiene el terreno? cuál es el perímetro del terreno?
Answer:
Area of rectangular land = 1,440 cm².
Perimeter of rectangular land = 152 cm
Step-by-step explanation:
Given:
Length of rectangular land = 36 cm
Width of rectangular land = 40 cm
Find:
Area of rectangular land
Perimeter of rectangular land
Computation:
Area of rectangle = length x width
Area of rectangular land = 36 x 40
Area of rectangular land = 1,440 cm²
Perimeter of rectangle = 2[l + b]
Perimeter of rectangular land = 2[36 + 40]
Perimeter of rectangular land = 2[76]
Perimeter of rectangular land = 152 cm
can anyone help with integers?
Fill in the blanks.
6) 83 + 17 = 17 +
7) |46| – |50| =
8) 42 – 2 + (18 – 10) =
9) 18 – (3 – 1) =
10) 8 - 0 =
Answer:
a) 83,b) -4,c) 48,d) 16,e) 8
Adrian is putting streamers across the ceiling of his dining room to decorate for his nephew’s birthday party. The ceiling is rectangular. Its area is 122.5 square feet, and its width is 7 feet. How long should Adrian cut a streamer that will run the length of the ceiling?
Answer: hello there here is your answer:
17.5 feet
Step-by-step explanation:
Area of rectangle = Length x Width
Length = Area/Width = 122.5 / 7 = 17.5 feet
hope this helps
have a god day bye
Someone help me asap
Answer:
A
Step-by-step explanation:
There are 270 minutes in 4.5 hrs.
divide that by 45, you get 6.
50*3^6 is 36,450
find the area of the trapezoid. helppppopop thank you
Answer:
[tex]\frac{4}{3}\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The area of a trapezoid can be found by multiplying the average of its bases and its height.
We're given:
One base of 4 cmOne base of 12 cmHeight of 1/6 cmTo find the average of a set of [tex]n[/tex] values, add all the values in the set and divide by [tex]n[/tex]. Therefore, to find the average of the two bases, we add 4 to 12 and divide by 2.
The average of the bases is therefore [tex]\frac{4+12}{2}=\frac{16}{2}=8[/tex]
Thus, the area of the trapezoid is [tex]8\cdot \frac{1}{6}=\frac{8}{6}=\boxed{\frac{4}{3}\:\mathrm{cm^2}}[/tex]
Can someone help me with this math homework please!
Answer:
The vertical line test can be used to determine whether a graph represents a function.
If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
If sin theta equals to a divided by b what is the value of sec square theta minus tan square theta
Answer:
Square is the answer
hope it helps u
plz mark it as brainliest
Set up a proportion to solve for x in the following similar triangles.
Answer:
C
Step-by-step explanation:
I took the quiz and it was C! Hope this helps :)
write the equation of the line that passes through the points (1,6) and (9,-8). put your answer in fully reduced slope form, unless it is a vertical or horizontal line.
Answer:
Y = - 7/4 X + 31/4
Step-by-step explanation:
M = 14/-8 = - 7/4
6 = - 7/4 + B
24 = -7 + 4B
31 = 4B
B = 31/4
Which graph represents a function?
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.Which of these steps will eliminate a variable in this system
3x-3y=6
6x+9y=3
Answer:
A
Step-by-step explanation:
This is because when you do a the answer states, multipliying the top by 2, makes the top equation 6x-6y=12. When you subtract the second from the first you get:
6x - 6y = 12
- 6x + (-)9y = (-)3
Which results in -15y = 9.
This results in an eliminated variable from the start of the system of equation.
The steps that will eliminate a variable in this system are:
Multiply the first equation by 2.
Then subtract the second equation from the first.
What is method of elimination?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
[tex]3x - 3y = 6\\6x +9y = 3\\\\6x - 6y = 12\\6x +9y = 3\\\\15y = -9\\y = -3/5\\x= 2-3/5 = 7/5[/tex]
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Please help ASAP! D,:
What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.
Answers:
14 units × 4 units
16 units × 8 units
24 units × 14 units
64 units × 4 units
I have a goal of getting exactly $100. But I have to pay a tax of 10%. How much money do I need to get in order to have exactly $100 after paying tax? Explain your answer please.
=======================================================
Explanation:
Let's say you earn x dollars.
You pay 10% tax on that, which means you pay 0.10x dollars.
This would drop to x-0.10x = 0.90x which is the amount earned after tax.
So you pay 10% of what you earn, and keep 90% of the rest.
Set this equal to the target $100 you want and solve for x.
0.90x = 100
x = 100/0.90
x = 111.11
Notice that 10% of this is 0.10*x = 0.10*111.11 = 1.11 when rounding to the nearest penny. So you'll pay $1.11 in tax. Therefore, you'd have x-0.10x = 111.11 - 1.11 = 100 left over. So the answer checks out.
the diagram on the right shows a circle.given that the length of arcs RS=2QR , angle QPR=35° and anglePSQ=45°,determine the value of
(a) angle SPR
(b) angle SRP
9514 1404 393
Answer:
(a) ∠SPR = 70°
(b) ∠SRP = 30°
Step-by-step explanation:
The applicable relationships are ...
the measure of an arc is twice the measure of the inscribed angle it subtendsthe sum of measures of the arcs of a circle is 360°the sum of measures of the angles of a triangle is 180°__
QR is subtended by 35° inscribed angle QPR, so is 2×35° = 70°.
PQ is subtended by 45° inscribed angle PSQ, so is 2×45° = 90°.
RS is 2×QR, so is 2×70° = 140°.
(a) Inscribed angle SPR is half the measure of arc RS, so is 140°/2 = 70°.
__
(b) Arc SP is the remaining arc in the circle, so is ...
arc SP = 360° -arc PQ -arc QR -arc RS = 360° -90° -70° -140° = 60°.
Inscribed angle SRP is half the measure of arc SP, so is 60°/2 = 30°
En una radio, 1/8 del dia esta destinado a emitir publicidad. Del total de publucidad, 3/5 corresponden a comerciales de univercidades. En esta radio,¿que fraccion del tiempo diario corrsponde a publicidad de univercidades.
Respuesta:
3/40
Explicación paso a paso:
Dado :
Fracción de tiempo diario dedicado a publicidad = 1/8
Del tiempo diario dedicado a publicidad, 3/5 corresponde a comerciales de universidad
Fracción del tiempo diario dedicado a la publicidad de las universidades:
3/5 de 1/8
3/5 * 1/8 = (3 * 1) / (5 * 8) = 3/40
Determine the simplest expression for the area of shaded region below
Answer:
5x^2+3x^2+(3x+1)^2+(2x-4)^2
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle.
What is the equation of the following line?
Answer:
The equation of the line is y=7x
When two parallel lines are cut by a transversal then the interior angles on the same side of the transversal are
Answer:
Same side interior angles
Step-by-step explanation:
Same side interior angles are interior angles and on the same side. Sorry don't know how to better explain.
hamood spelled backwards is hamood also let me know if u want my account by 12 AM PDT 6/2/21
Answer:
yo congratulations on finishing 10th grade (congratulate me on finishing 8th)
hamood spelled backwards is doomah so...um...
also do u mean 7/2/21..bc 6/2/21 is like in June and we're in July
A pipe 11/15 liters of tub in 22/45 minutes what is its flow rate in terms of liters per minute
Answer:
3/2 liters/minute
Step-by-step explanation:
Divide 11/15 liters by 22/45 minutes:
11
------
15
-----------
22
-----
45
This is equivalent to:
11 45
----- * ----- = 3/2 (liters/min)
15 22
The flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).
Given:
Volume of water = 11/15 liters
Time taken = 22/45 minutes
Flow rate = Volume / Time
Flow rate = (11/15) liters / (22/45) minutes
To divide by a fraction, we multiply by its reciprocal:
Flow rate = (11/15) x (45/22) liters/minutes
Simplifying the expression:
Flow rate = 495/330 litres/minutes
The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:
Flow rate = (495/165) / (330/165) litres/minutes
Flow rate = 3/2 liters/minutes
Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.
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Maria has 72 flowers and four vases she put the same number of flowers in each vase how many flowers are in one vase
simplify (-9)×5×6(-3)
[tex]\bf \large \hookrightarrow \:( - 9) \: \times \: 5 \: \times \: 6 \: \times \: ( - 3) \\ \\ \bf \Large \hookrightarrow \: \: \: - 45 \: \times \: ( - 18) \\ \\ \bf \Large \hookrightarrow \: \: 810[/tex]
A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5
feet casts an 8-foot shadow. What is the height of the light house, rounded
to the nearest foot? *
Answer:
80 ft
Step-by-step explanation:
Let the height of the light house be x feet.
[tex] \therefore \: \frac{128}{8} = \frac{x}{5} \\ \\ x = \frac{128 \times 5}{8} \\ \\ x = \frac{640}{8} \\ \\ x = 80 \: feet[/tex]
Choices:
One-sixth cups
Five-sixths cups
1 and two-thirds cups
1 and 5 / 6 cups
Answer:
Patel will require more orange juice = [tex]\frac{371}{660}[/tex] cups
Step-by-step explanation:
Patel needs the orange juice for his family = 3 cups
He needs more orange juice = 3 cups - Sum of juice squeezed from different oranges
[tex]=3-(\frac{13}{15}+\frac{1}{5}+\frac{9}{20}+\frac{5}{11}+\frac{7}{15})[/tex]
L.C.M. of the denominators = 660
[tex]=3-\frac{572+132+297+300+308}{660}[/tex]
[tex]=3-\frac{1609}{660}[/tex]
= [tex]\frac{1980-1609}{660}[/tex]
= [tex]\frac{371}{660}[/tex]
Therefore, amount of orange juice required more = [tex]\frac{371}{660}[/tex] cups
