The Given integral is :
∫x²√x³ + 37 dx ; u = x³ + 37
Answer:
2/9(x³ + 37)^3/2 + C
Step-by-step explanation:
∫x²√x³ + 37 dx ; u = x³ + 37
∫x²√u dx
Since u = x³ + 37
Differentiate u with respect to x
du/dx = 3x²
du = 3x²dx
dx = du / 3x²
∫x²√u dx = ∫x²√u du/3x²
1/3x²∫x²√u du
1/3 ∫ √u du
Integrating √u with respect to u
1/3 ∫ u^1/2 du
1/3 [u^(1/2+1) / 1/2 + 1] + C
1/3 [u^3/2 / 3/2] + C
1/3 u^3/2 * 2/3 + C
1/3*2/3 u^3/2 + C
2/9 u^3/2
u = x³ + 37
2/9(x³ + 37)^3/2 + C
14/15 divided by 7/5
9514 1404 393
Answer:
2/3
Step-by-step explanation:
There are a couple of different ways that division of fractions can be done.
1) "invert and multiply"
[tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}[/tex]
__
2) use the numerators when the denominators are the same
[tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}[/tex]
(05.05) On a coordinate plane the coordinates of vertices R and T for a polygon are R(-7, 3) and T(3,3). What is the length of Side RT of the polygon?
4 units
6 unts
10 units
15 units
PLEASE HELP!!
Answer:
c) 10 units
The length of side RT of the polygon RT = 10
Step-by-step explanation:
Step(i):-
Given the coordinates of vertices R and T
R( -7 ,3) and T (3 ,3)
we have to find the length of side RT
We will use distance formula
RT = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
Step(ii):-
RT [tex]= \sqrt{(3-3)^{2} +(3-(-7))^{2} }[/tex]
[tex]RT = \sqrt{0+(10)^{2} }[/tex]
RT = √100
RT = 10
The length of side RT of the polygon RT = 10
6x + 7 = -5
How to solve
Answer:
-2
Step-by-step explanation:
-5-7 = -12
6x = -12
x = -2
d) Did you have to make an exchange?
Rosie had 56 pencils to share between 4 pots
Answer:
Your answer is 14
Step-by-step explanation
56÷4=14
Define altitude in a geometric way. (in geometry)
A 120 120 -volt battery is connected to a circuit with 30 30 ohms of resistance. The current in amperes c c flowing through the circuit can be found using the equation 30c=120 30c=120 . How many amperes of current are there in the wire?
Answer:
just divide 120 divided by 30 is 4 I know it right bc I had the same question on into math if thats what you were on
Step-by-step explanation:
how do i do this :(
where are the heck are you getting 18
1) How many terms does the expression r- 9 + 5.5 have? Explain.
Answer:
The first term is 9 and the second term is 5.5, and the third term is r.
Step-by-step explanation:
Hope this helps! ^^
After reading a book about ancient Egypt, Cassie decided to build a model of a pyramid out of cardboard. How much cardboard does Cassie need to make the model, including the bottom? 30cm and 25 cm
ANSWER IN DA PHOTO =))))
Hence Cassie need to make the model is 2250[tex]cm^{2}[/tex]
What is square pyramid?A square pyramid has a square base and four lateral faces in geometry. A pyramid is a polyhedron with a base and three or more triangular faces that meet above it . A square pyramid, also known as a pentahedron, is a three-dimensional geometry with a total of five faces.
How to solve?As ancient pyramid models were in shape of square pyramid hence we apply
[tex]A = a(a + \sqrt{ (a^{2} + 4h^{2} ))}[/tex]
where a =25cm
and h=30 cm
[tex]A = 25(25 + \sqrt{ (25^{2} + 4(30^{2}) ))}[/tex]
=25(25+65)
=2250[tex]cm^{2}[/tex]
Hence Cassie need to make the model is 2250[tex]cm^{2}[/tex]
Learn more about square pyramids https://brainly.com/question/10707107
#SPJ2
It takes half of a yard of ribbon to make a bow. How many bows can be made with 7 yards of ribbon?
Answer:
hey there is a snowman challenge for virtual
Step-by-step explanation:
join challenge at #snowmanchallenge
Two students drive separate cars.
• Student 1 begins driving 90 minutes before student 2.
• Student 1 drives at a speed of 48 miles per hour.
• Student 2 drives at a speed of 64 miles per hour.
For how many hours has student 1 been driving when both students have driven exactly the same distance?
O 1 hour 30 minutes
3 hours 0 minutes
6 hours 0 minutes
7 hours 30 minutes
Student take 7hours30 mins to drive.
Will make you brainlistt if it is right
Answer:
The amount of weeks is your independent variable, or X variable, and the height is you dependents variable.
Step-by-step explanation:
I don't know what this question is about so I'm gonna use plants as an example. The amounts of weeks that you are growing a plant is not dependent on anything. Nothing can cause change to that variable, so it would be your X. The height that your plant has grown DOES depend on how long you've grown it, so the amount of weeks, making it your Y variable.
- 6х + Зу = 15 solve for y?
Step-by-step explanation:
[tex] - 6x + 3y = 15 [/tex]
[tex]3y = 15 + 6x[/tex]
[tex]y = \frac{15 + 6x}{3} \\ [/tex]
[tex]y = 5 + 2x[/tex]
the volume of a rectangular prism is 72 cubic centimeters. the prism is 2 centimeters wide and 4 centimeters high.
Answer:
9 cm
Step-by-step explanation:
Answer:
it is 9 cm because 9 x 8 is 72
Step-by-step explanation:
Solve and Share
Tyrone partitioned a rectangle into thirds. Sally partitioned a rectangular of the same size
into fourths. How could you partition a rectangle of the same size so that you see both
thirds and fourths?
Answer:
Step-by-step explanation:
The least common multiple of 3 and 4 is 12. Divide the rectangle in twelfths.
⅓ = 4/12
¼ = 3/12
Joanie has 15 hair ribbons. She has 7 less hair ribbons than her friend, Sara. Which equation
can be used to determine the number of hair ribbons Sara has, s?
S-7 = 15
7 - S =15
7s = 15
S + 7 = 15
Solve the Equation
P + 75 = 100.
Answer:
P= 25 so
25+75= 100
Step-by-step explanation:
100-75
Answer:
P=25
Step-by-step explanation:
P+75=100
-75 -75
_________
P=25
PLEASE I NEED IT ASAP
find the value of t if t - 7 = 12
Answer:
19
Step-by-step explanation:
t-7=12
or,t=12+7
or,t=19
Last night you went to a restaurant, and the bill for 3 adult meals and 2 children’s meals was £73.
Last week you went to the same restaurant and paid £89 for 2 adult meals and 5 children’s meals.
Let a = cost of an adult meal,
and c = cost of a child meal.
A) Form an equation for last night’s meal
? = ?
B) Form an equation for last week's meal
? = ?
Answer: 3a + 2c = 73 (last night)
2a + 5c = 89 (last week)
Step-by-step explanation:
Given that
P
=
x
+
y
.
Find
P
when:
x
=
22
and
y
=
10
Answer:
32
Step-by-step explanation:
p=x+y , P=22+10 , P=32
Pls help me ASAP I’ll brainlest for the right answer
Answer:
I would say the answer is 13.5
Step-by-step explanation:
Times 7.5 (hours) and $1.80 (dollars).
The reason why this works:
It is $1.80 per hour so if you multiply it by 7.5 the amount of hours that would make it so you'd get the answer $13.5
Which of the following sets of possible side lengths forms a right triangle?
11, 60, and 61
6, 12, and 13
9, 40, and 45
12, 35, and 38
Answer:
Which of the following sets of possible side lengths forms a right triangle?
11, 60, and 61✓6, 12, and 13
9, 40, and 45
12, 35, and 38
Step-by-step explanation:
[tex] \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{121 + 3600} \\ = \sqrt{3721} \\ = \sqrt{ {61}^{2} } \\ = 61[/tex]
11, 60 and 61 is the right answer.Luigi has a piece of cloth that is 42 inches long. He wants to divide it into 3 equal pieces. What is the length of each piece?
Answer:
if you divide it by 2, you would have 128 slices because 256 ÷ 2 gives you 128, and when you multiply 128 by 2 you get 26.
Step-by-step explanation:
Sketch and shade the region in the xy-plane defined by the equation or inequalities.
|x| < 7 and |y| < 3 g
Answer:
attached below is the solution
Step-by-step explanation:
|x| < 7
= -7 < x < 7
| y | < 3
= -3< y < 3
attached below is the shaded region in the xy-plane
Kara sells bracelets for $5 each. She represents the price of x bracelets with the expression 5 x. Which expression represents another way Kara could determine the price of x bracelets?
a: x 10/2
b: x+5
c:(x divided by 5) times 5
d: (x divided by 2 ) times 10
Answer:
C. x divided by 5 times 5
Answer: A
Step-by-step explanation: X is a variable is does not actually have a value also because 10/2 =5 and that's the same as x 5 or 5 x
Please someone help?
Answer:
C
Step-by-step explanation:
C is congruent to A
Given: Point C is the midpoint of AB¯¯¯¯¯.
AC=7x−10; CB=3x+10
Prove: AC=25
Drag and drop reasons into the boxes to correctly complete the proof.
Statement Reason
Point C is the midpoint of AB¯¯¯¯¯. Given
AC=7x−10; CB=3x+10 Given
AC=CB Definition of midpoint
7x−10=3x+10 Response area
4x−10=10 Response area
4x=20 Addition Property of Equality
x=5 Response area
AC=7(5)−10 Substitution Property of Equality
AC=35−10 Simplify.
AC=25 Simplify.
Answer:
See proof below
Step-by-step explanation:
If C is the midpoint of AB, then AC = CB
Given
AC=7x−10;
CB=3x+10
Then 7x - 10= 3x+10
Add 10 to both sides
7x-10+10 = 3x +10+10
7x = 3x + 20
7x - 3x = 10+10
4x = 20
x = 20/4
x = 5
Get AC
AC = 7x - 10
AC= 7(5) - 10
AC = 35-10
AC = 25 (Proved)
which expression is equilvalent to (5g-2h)-(3h+8-4g). RIGHT ANSWER GETS 13 POINTS AND BRAINLIST
Answer:
4(2h + g)
4h + 4h +3g + g
2(4h + 2g)
Which of the following equations can be used to find three consecutive odd integers whose sum is 147?
n+n+1+n+3=147
n+n+1+n+2=147
n+n+n=147
n+n+2+n+4=147
Answer:
It’s the last one
Step-by-step explanation:
Plz mark me brainliest