Answer:
y=3/2x-8
Step-by-step explanation:
The slope of a line parallel to 3x-2y=-14 will be equivalent to the slope of this equation.
Rewrite the given equation in Slope/Intercept Form y=mx+b to get the slope m.
3x-2y=-14
2y=3x+14
divide both sides by 2 to solve for y.
y=(3x+14)/2
y=3/2x+7
slope m =3/2
Now that we have found the slope of our equation, we can put it into point-slope form : y-y1=m(x-x1) 2=x1 -5=y1
y--5=3/2(x-2)
y+5= 3/2x-3
subtract 5 from both sides to solve the equation for y
y=3/2x-8
integrate (1-x³)² with respect to x
Answer:
Start off by expanding the square:
x^6 -2x³ + 1.
Now, we can integrate it in dx:
∫x^6 - 2x^3 + 1 dx = ∫x^6 dx - 2∫x^3 dx + ∫1 dx = (x^7)/7 - 2((x^4)/4) + x = (x^7)/7 - (x^4)/2 + x.
That's the result!
[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^3)^2dx[/tex]
[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^6+2x^3)dx[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^{6+1}}{6+1}+2\dfrac{x^{3+1}}{3+1}[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+2\dfrac{x^4}{4}[/tex]
[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+\dfrac{x^4}{2}[/tex]
Approximately what portion of the circle is shaded blue?
Answer: C. (1/6)
Step-by-step explanation: If you split the circle in half horizontally, the top part would be 1/3 and the bottom part would be 3/3. 1/3 + 3/3 = 4/6 and 4/6 simplified is 1/6.
plzzz what is the difference between the 15th square number and the 7th square number
Answer:
176
Step-by-step explanation:
15² - 7² = (15+7)*(15-7) = 22*8 = 176
check: 225 - 49 = 176
Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalent decimal for the fraction of friends that prefer trail mix? Drag and drop the correct number to the box. 1/6 0.16 or 6
Answer:
hlp
Step-by-step explanation:
hlp
Elsa is selling bracelets at craft shows to raise money for an animal shelter.
She is also accepting additional cash donations. She plans to give 75% of the
money from all bracelet sales and donations to the shelter. She will use the
remaining money to buy more supplies. Bracelet sales and donations from
the first craft show are represented by the expression 24n + 32, where n
represents the amount Elsa charges for each bracelet. The second craft
show sales and donations is represented by the expression 40n + 56. If Elsa
charges $4 for each bracelet, how much money will she donate to the
Answer:
$258
Step-by-step explanation:
75% = 0.75 when we divide by 100 to convert a percentage to a decimal
75% of total sales = money donated
Total sales = sales from first show + sales from second show
= 24n+32 + (40n+56)
= 64n + 88
0.75 of (64n+88) = money donated
= 0.75 * (64n+88)
= 48n + 66
substitute 4 for n, as she charges $4 for each bracelet
money donated = 48*4 + 66 = 258
?/5 =8/10 type the missing number that makes this fraction equal
Answer:
[tex]?=4[/tex]
Step-by-step explanation:
[tex]\frac{?}{5}=\frac{8}{10}[/tex]
[tex]\frac{2?}{10}=\frac{8}{10}[/tex]
[tex]2?=8[/tex]
[tex]?=4[/tex]
Is 6.32332333... a rational or irrational number? a Choose the correct answer below. O rational number O irrational number
Answer:
Irrational number because it cannot be written in fraction form a/b where b is not supposed to be 0
-16-|-2-4|+7 please solve this for me and explain. i would really appreciate it.
Answer:
-15
Step-by-step explanation:
-16 -|-6| +7
-16 - 6 + 7
= - 15
Absolute value is just taking the positive value of a number.
Step-by-step explanation:
-16-(-2-4)+7=
-16-(-6)+7=
-16+6+7=
-16+13=
-3
Complete the table of ordered pairs for the linear equation
Answer:
Step-by-step explanation:
See attachment.
Which quadrilateral is a trapezoid?
Answer:
Hey mate!Step-by-step explanation:
A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)
pls mark me as brainliest!!PLS HELP BEST ANSWER=BRAINLIEST
3a² - ac + 2c - 6a/ 3a - c = a - 2
i have been looking everywhere but i cannot find the steps on how to simplify/solve this
PLS SHOW STEPS
Answer:
a-2=a-2
Step-by-step explanation:
Here it is, you just have to notice that the numerator has common factors alternated. You will then collect the same parentheses and simplify with the denominator.
Answer:
Step-by-step explanation:
Parentheses are missing in your problem statement if you intend to simplify ...
[tex]\dfrac{3a^2-ac+2c-6a}{3a-c}\\\\=\dfrac{a(3a-c) -2(3a-c)}{3a-c}\qquad\text{factor pairs of terms}\\\\=\dfrac{(a-2)(3a-c)}{(3a-c)}\\\\=\boxed{a-2}\qquad\text{cancel common factors}[/tex]
The "steps" are ...
factor numerator (and denominator, if necessary)cancel common factorsThe diagram shows the distance between my home, H. and two towns, A and B.
It also shows information about journey times.
What is the average speed of the journey from my home to town A?
I do not know English :33333
I NEED HELP ON QUESTION B AND C ASAP.
Answer:
See belowStep-by-step explanation:
Part BAssumed the dimensions of the top and bottom parts are identical.
Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:
h = 1.8 cm - 0.3 cm = 1.5 cmPart CFind the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.
V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³Total sand in the bottom part:
7.96 + 4.6 = 12.56 cm³Time taken:
12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?
Answer:
217 Seconds.
Step-by-step explanation:
The answer is 217 seconds because 60x3+37=217.
Can somebody, anybody please helppp
Simplifiy the expression.
x^2 + 3x - 28/ x^2 - 7x + 12
show your work! (this part is REALLY important) thanks(:
Answer:
Step-by-step explanation:
3x3 then 4 x v ?
9
11 (a) Grapes cost £2 per kilogram.
Calculate the cost of 380g of grapes.
Answer:
£0.76
Step-by-step explanation:
1kilogram = 1000grams
1000g of grapes costs £2
380g costs = (380 × 2)/ 1000
760/1000 = £0.76
1985 x 99 I already know the answer: 196515
Answer:
196515
Step-by-step explanation:
Answer:
196515
Step-by-step explanation:
If f(x) and g(x) are inverse functions, find f(g(x)).
A)
-1
B)
0
C)
1
D)
х
Answer:
x.
Step-by-step explanation:
f(g(x)) = x.
Evaluate the expression when c=4. c^4 + 6
Answer:
262
Step-by-step explanation:
4x4x4x4+6
256+6
262
the first person to get this right earns breainlesit!!!!!!!!
witch expressions are evculient to 4b?
Answer:
B,C,D,F, those are yhe right answer
Helppp it’s due today
Answer:
128
Step-by-step explanation:
A passenger plane flew from Texas to Frankfurt and back. The round trip is 9900 km.
return trip took 4 hours less than the trip to Frankfurt because of the 50 km/hr wind over the ocean on the return trip. Assume there was no wind on the trip to Frankfurt. Let x km/hr represent the average speed of the plane in still air.
We want to find the average speed of the plane in still air, we will get that the average speed of the plane in still air is 355.3 km/hr
So we know that the total trip is 9900km, so from Texas to Frankfurt the distance is half of that:
9900km/2 = 4950km
Now, The speed of the plane in still air is x km/hr
The speed of the air is 50 km/hr, and it flows from Frankfurt to Texas.
So in the first part of the trip, the wind blows in opposite direction to the motion of the plane, thus the speed of the plane will be:
(x - 50) km/hr
While in the return trip the wind blows in favor of the plane, in this case, the speed is:
(x + 50)km/hr
Then if the first part of the trip lasts for T hours (the second for T - 4 hours) we can write the system of equations:
(x - 50)*T = 4950
(x + 50)*(T - 4) = 4950
Where I removed the units so it is easier to read.
If we isolate T in the first equation we get:
T = 4950/(x - 50)
Now we can replace this in the other equation to get:
(x + 50)*(4950/(x - 50) - 4) = 4950
If we multiply both sides by (x - 50) we get:
(x + 50)*4950 - 4*(x + 50)*(x - 50) = 4950*(x - 50)
Now we can solve this for x:
(x + 50)*4950 - 4*(x^2 - 2500) - 4950*(x - 50) = 0
100*4950 - 4*(x^2 - 2500) = 0
495000 - 4*x^2 + 10000 = 0
505000 = 4*x^2
√(505000/4) = x = 355.3
The average speed of the plane in still air is 355.3 km/hr
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13476446
A line with a slope of 2 passes through the point (3,9).
Write an equation for this line in point-slope form.
Answer:
y-9=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-9=2(x-3)
Solve the following equation 2x-17=-53
Step-by-step explanation:
2x - 17 = - 53
2x = - 53 + 17
2x = - 36
x = - 36/2
x = - 18
Answer:
x = -18
Step-by-step explanation:
2x - 17 = -53
+17 = + 17 Add 17 to both sides
2x = -36
x = -36 ÷ 2 Divide by 2
x = -18
B(14, 12)
A(-5,-2)
A. Find the midpoint of Segment AB
Select the correct answer.
Simplify the following expression.
Answer:
B. 1/3
Step-by-step explanation:
This question is designed to show if you know the exponent rules. Exponent Rules are short cuts. If you are multiplying two terms and they both have the same base (the big bottom number), then you could ADD the exponents (the small font raised numbers) Here the base is 3 in both terms. We keep that base. Then add 2/5 and -7/5 to get -5/5. This is just -1.
Another Exponent Rule is how to use negative exponents. So far we have 3^-1 (that means three to the negative one power)
In order to make that negative exponent positive, you just move it across the fraction bar. So we would lower it below the fraction bar to make it a positive one exponent. So you end up with 1/3
Question 3 help pls
Answer:
< greater than
Step-by-step explanation:
u need to turn each one into decimals than find out which ones greater that's how you'll get your answer
Answer: The answer would be D
Simplify the expression. Write your answer as an improper fraction.
-2/3x divided by (-4/9)
Answer:
3/2x
Step-by-step explanation:
−
2
3
x
−
4
9
=
3
2
x
To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?
Answer:
Step-by-step explanation:
So 4 cakes = 6 sugars, right so try taking it slow and think to yourself, 3=? then take it even slower until you go to 1=0.67 repeated
The answer to this question?
Answer:
1. 59 2.90 4.31 3. Sorry I dunno
Step-by-step explanation:
1. the 59 degrees is the same.
2. It's a perfect angle
3. Sorry
4.180-90-59=31