Answer:
x=17/5
i hope this helps
Quadrilaterals LMNO and STUV are similar. What is the value of x in inches?
A. 27.1
B. 9.2
C. 22.9
D. 6.6
Answer:
D
Step-by-step explanation:
2.2 : x = 4.1 : 12.3
2.2/x = 4.1/12.3 = 1/3
so x = 2.2 * 3 = 6.6
D
Given the triangles are similar. Solve for x.
1st
3.5 cm
8.4 cm
2nd
2x cm
5 cm
Answer:
6
Step-by-step explanation:
By CSSTP,
2x/8.4 = 5/3.5
2x=(8.4)(5/3.5)
2x=12
x=6
Jose has 3/5 kilogram of prepped mints and 2/3 kilogram of candy canes. How many kilograms of candy does he have?
Answer:
1 4/15
Step-by-step explanation:
Fractions are added using a common denominator. When the denominators have no common factors, the least common denominator is their product.
[tex]\dfrac{3}{5}+\dfrac{2}{3}\\\\=\dfrac{3}{5}\cdot\dfrac{3}{3}+\dfrac{2}{3}\cdot\dfrac{5}{5}\\\\=\dfrac{9+10}{15}=\dfrac{19}{15}=\boxed{1\dfrac{4}{15}}[/tex]
Jose had 1 4/15 kilograms of candy.
Wah value of c makes the equation 15-8+c=11
[tex]\mathbb{FINAL\;ANSWER:}[/tex]
[tex]\huge\boxed{\sf{c=4}}[/tex]
[tex]\mathbb{SOLUTION:}[/tex]
Hi! Hope you are having a nice day!
Let's solve the equation for c.
First, subtract 15 and 8:
15-8+c=11
7+c=11
We can actually solve this equation using mental maths.
7+4=11, right? :)
Hope you could comprehend everything.
#CarryOnLearning
How can 10% of 45 be used to determine 30% of 45?
Enter your answers in the boxes to correctly complete the sta
10% of 45 is
so 30% of 45 is
Answer: 10% of 45 is 4.5
So 30% of 45 is 13.5
Step-by-step explanation:
Evaluate the integral. (Use C for the constant of integration.)
2x^2+ 5x + 2/(x² + 1)2 dx
Answer:
[tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x - \frac{5}{2(x^2 + 1)} + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Method: U-Substitution
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integrand] Rewrite [Factor]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = \int {\frac{2(x^2 + 1) + 5x}{(x^2 + 1)^2}} \, dx[/tex]Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = \int {\frac{2(x^2 + 1)}{(x^2 + 1)^2}} \, dx + \int {\frac{5x}{(x^2 + 1)^2}} \, dx[/tex][Left Integral] Simplify: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = \int {\frac{2}{x^2 + 1}} \, dx + \int {\frac{5x}{(x^2 + 1)^2}} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \int {\frac{1}{x^2 + 1}} \, dx + 5 \int {\frac{x}{(x^2 + 1)^2}} \, dx[/tex][Left Integral] Trigonometric Integration: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + 5 \int {\frac{x}{(x^2 + 1)^2}} \, dx[/tex]Step 3: Integrate Pt. 2
Identify variables for u-substitution for the remaining integral.
Set u: [tex]\displaystyle u = x^2 + 1[/tex][u] Differentiate [Derivative Properties and Rules]: [tex]\displaystyle du = 2x \ dx[/tex]Step 4: Integrate Pt. 3
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \int {\frac{2x}{(x^2 + 1)^2}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \int {\frac{1}{u^2}} \, du[/tex]Apply Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \bigg( \frac{-1}{u} \bigg) + C[/tex][u] Back-substitute: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x + \frac{5}{2} \bigg( \frac{-1}{x^2 + 1} \bigg) + C[/tex]Simplify: [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx = 2 \arctan x - \frac{5}{2(x^2 + 1)} + C[/tex]∴ the integration of the given integral [tex]\displaystyle \int {\frac{2x^2 + 5x + 2}{(x^2 + 1)^2}} \, dx[/tex] is equal to [tex]\displaystyle \bold{2 \arctan x - \frac{5}{2(x^2 + 1)} + C}[/tex].
---
Learn more about integration: https://brainly.com/question/21023287
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---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
What is the missing reason?
Answer:
D
Step-by-step explanation:
you distribute the 2 to both numbers in the parentheses, and you get 2x+6=10 I HOPE THIS HELPS
The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part. Give your answer as a completely simplified exact value in terms of π (no approximations).
57cm
because you get to subtract
A pair of jeans cost £40 there is a discount of 15% on everything In the shop how much do the jeans cost after the discount
Answer:
34 Euros
Step-by-step explanation:
15% of 40 is 6.
40 minus 6 = 34
[tex][Hello,BrainlyUser][/tex]
Answer:
£34
Step-by-step explanation:
Given:
A pair of jeans cost £40
Discount of 15%
Question:
How much do the jeans cost after the discount
Solve:
£40 x 15% =6
£40 - 6 = 34
Hence, Jeans cost £34 after the discount
[CloudBreeze]
Find the missing value.
Hint: Use the number line to find the missing value.
-3=7-?
Answer:
X = 10
Step-by-step explanation:
-3=7-x
-7 -7
-10=-x
10=x
Consider the work sample and statements below. Select ALL that apply.
Answer:
A, B, D, F
Step-by-step explanation:
The work of solving the standard-form equation that is the difference of squares is properly shown except for Line 4. Statement [F] correctly describes the proper solution, which results in the solution set shown in Statement [B].
The first step was necessary to put the equation into standard form (Statement [D]). That form is the difference of squares (Statement [A]).
The statements that correctly describe the work are A, B, D, F.
3. Explain why (x – 4)2 = -9 has no real solutions.
Answer:
an equation is said to have no real solutions when value of x < 0
Step-by-step explanation:
here,
(x-4) 2= -9
2x - 8 = -9
2x = -1
x = -1/2
which is less than 0
The equation (x – 4)² = -9 has no real roots.
What is the solution of a quadratic equation?The solution of a quadratic equation is the value of the variable for which the expression becomes true.
Given,
(x – 4)² = -9
The LHS of the equation is either positive or zero.
But, the RHS of the equation is a negative value.
Therefore, RHS and LHS can never be equal.
Hence, the equation (x – 4)² = -9 has no real roots.
To learn more about quadratic equations visit:
https://brainly.com/question/17177510
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In what quadrant is the point (5,4)?
Step-by-step explanation:
1st quadrant
hope it helps you
what is 5a + 2/3= -1/6 with two step equations fractions
Answer:
-1/6
Step-by-step explanation:
5a+2/3=-1/6
5a=-1/6-2/3
5a=-1/6-4/6
5a=-5/6
a=(-5/6)/5
a=(-5/6)(1/5)
a=-5/30
simplify
a=-1/6
Which of the following are solutions to the equation below?
Check all that apply.
x2 + 6x + 9 = 20
O A. X = 215 + 3
B. X = -2,5 - 3
O c. x= -1/3 + 20
O D. x = -2.75 +3
O E. x = 215 - 3
h
O F. X = _3 + 20
Find the 40th term 360,353,346,...
Answer:
87
Step-by-step explanation:
First method:
- Open Excel and enter 360, 353 and 346 in column A (below each other)
- Select all 3 cells and drag the bottom-right square down to row 40.
Second method:
- Use the equation t(n) = 360-7(n-1)
- Solve for n=40
- t(40) = 360 - 7*39 = 87
Find the average rate of change of the function between the given values of x.
y = -5x - x^2 between x = -5 and x = 7
Answer:
Use integrals to find the area between the curves.
32
3
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
0
,
0
)
,
(
4
,
4
)
Equation Form:
x
=
0
,
y
=
0
x
=
4
,
y
=
4
To find the volume of the solid, first define the area of each slice then integrate across the range. The area of each slice is the area of a circle with radius
f
(
x
)
and
A
=
π
r
2
.
V
=
π
∫
4
0
(
f
(
x
)
)
2
−
(
g
(
x
)
)
2
d
x
where
f
(
x
)
=
−
x
2
+
5
x
and
g
(
x
)
=
x
Simplify the integrand.
Tap for more steps...
V
=
x
4
−
10
x
3
+
24
x
2
Split the single integral into multiple integrals.
V
=
π
(
∫
4
0
x
4
d
x
+
∫
4
0
−
10
x
3
d
x
+
∫
4
0
24
x
2
d
x
)
By the Power Rule, the integral of
x
4
with respect to
x
is
1
5
x
5
.
V
=
π
(
1
5
x
5
]
4
0
+
∫
4
0
−
10
x
3
d
x
+
∫
4
0
24
x
2
d
x
)
Combine
1
5
and
x
5
.
V
=
π
(
x
5
5
]
4
0
+
∫
4
0
−
10
x
3
d
x
+
∫
4
0
24
x
2
d
x
)
Since
−
10
is constant with respect to
x
, move
−
10
out of the integral.
V
=
π
(
x
5
5
]
4
0
−
10
∫
4
0
x
3
d
x
+
∫
4
0
24
x
2
d
x
)
By the Power Rule, the integral of
x
3
with respect to
x
is
1
4
x
4
.
V
=
π
(
x
5
5
]
4
0
−
10
(
1
4
x
4
]
4
0
)
+
∫
4
0
24
x
2
d
x
)
Combine
1
4
and
x
4
.
V
=
π
(
x
5
5
]
4
0
−
10
(
x
4
4
]
4
0
)
+
∫
4
0
24
x
2
d
x
)
Since
24
is constant with respect to
x
, move
24
out of the integral.
V
=
π
(
x
5
5
]
4
0
−
10
(
x
4
4
]
4
0
)
+
24
∫
4
0
x
2
d
x
)
By the Power Rule, the integral of
x
2
with respect to
x
is
1
3
x
3
.
V
=
π
(
x
5
5
]
4
0
−
10
(
x
4
4
]
4
0
)
+
24
(
1
3
x
3
]
4
0
)
)
Simplify the answer.
Tap for more steps...
V
=
384
π
5
The result can be shown in multiple forms.
Exact Form:
V
=
384
π
5
Decimal Form:
V
=
241.27431579
…
image of graph
To find the volume of the solid, first define the area of each slice then integrate across the range. The area of each slice is the area of a circle with radius
f
(
x
)
and
A
=
π
r
2
.
V
=
π
∫
4
0
(
f
(
x
)
)
2
−
(
g
(
x
)
)
2
d
x
where
f
(
x
)
=
−
x
2
+
5
x
and
g
(
x
)
=
x
Simplify the integrand.
Tap for more steps...
V
=
x
4
−
10
x
3
+
24
x
2
Split the single integral into multiple integrals.
V
=
π
(
∫
4
0
x
4
d
x
+
∫
4
0
−
10
x
3
d
x
+
∫
4
0
24
x
2
d
x
)
By the Power Rule, the integral of
x
4
with respect to
x
is
1
5
x
5
.
V
=
π
(
1
5
x
5
]
4
0
+
∫
4
0
−
10
x
3
d
x
+
∫
4
0
24
x
2
d
x
)
Combine
1
5
and
x
5
.
V
=
π
(
x
5
5
]
4
0
+
∫
4
0
−
10
x
3
d
x
+
∫
4
0
24
x
2
d
x
)
Since
−
10
is constant with respect to
x
, move
−
10
out of the integral.
V
=
π
(
x
5
5
]
4
0
−
10
∫
4
0
x
3
d
x
+
∫
4
0
24
x
2
d
x
)
By the Power Rule, the integral of
x
3
with respect to
x
is
1
4
x
4
.
V
=
π
(
x
5
5
]
4
0
−
10
(
1
4
x
4
]
4
0
)
+
∫
4
0
24
x
2
d
x
)
Combine
1
4
and
x
4
.
V
=
π
(
x
5
5
]
4
0
−
10
(
x
4
4
]
4
0
)
+
∫
4
0
24
x
2
d
x
)
Since
24
is constant with respect to
x
, move
24
out of the integral.
V
=
π
(
x
5
5
]
4
0
−
10
(
x
4
4
]
4
0
)
+
24
∫
4
0
x
2
d
x
)
By the Power Rule, the integral of
x
2
with respect to
x
is
1
3
x
3
.
V
=
π
(
x
5
5
]
4
0
−
10
(
x
4
4
]
4
0
)
+
24
(
1
3
x
3
]
4
0
)
)
Simplify the answer.
Tap for more steps...
V
=
384
π
5
The result can be shown in multiple forms.
Exact Form:
V
=
384
π
5
Decimal Form:
V
=
241.27431579
…
y
=
3
x
+
4
,
[
2
,
3
]
y
=
3
x
−
2
,
(
0
,
4
)
y
=
√
x
,
[
1
,
4
]
Step-by-step explanation:
A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches. Which of the following could be used to calculate the volume of water in the vase?
π(12in)2(3in) − 7(four over threeπ(1.5in)3)
π(3in)2(12in) − 7(four over threeπ(1.5in)3)
π(12in)2(3in) − 1.5(four over threeπ(7in)3)
π(3in)2(12in) − 1.5(four over threeπ(7in)3)
Answer:
Step-by-step explanation:
Vase:
h = 12 in
r = diameter/2 = 6/2 = 3 in
Volume of vase = πr²h
= π(3)²*12
Marbles:
r = 3/2 = 1.5 in
[tex]Volume \ of \ marbles = \dfrac{4}{3}\pi r^{3}\\\\\\Volume \ of \ 7 marbles=7*\dfrac{4}{3}\pi (1.5)^{3}[/tex]
Volume of water = Volume of vase - volume of 7 marbles
[tex]= \pi (3)^{2}*12 - 7*\dfrac{4}{3}\pi (1.5)^{3}[/tex]
Answer:
second choice
Step-by-step explanation:
the volume of water in the vase
= volume of the vase up to the height 12 inches - volume of 7 marbles
= π(6/2)²(12) - 7(4/3)π(3/2)³
so answer is the second choice
Which of the following choices are equivalent to the expression below? Check
all that apply.
318
A. (40)
B. x
c C. ()"
D. x
E. (88)
OF. (10)
Answer:
A
Step-by-step explanation:
because A is a Equivalent when you times it by 4
two friends share 1/2 of a pizza equally. What fraction of the pizza does each friend get?
Answer:
1/4
Step-by-step explanation:
In this equation, from the beginning we know two things, that there are two people, and that the whole is 1/2
So we just have to divide! Use this equation whenever dealing with word problems like these and you’re stuck.
Amount of object (Pizza Size) divided by Number of Groups (People) = Amount of object in group
So our equation is 1/2 divided by 2
Calculate this and we will get our final answer of
1/4!
Hope this helped and please award brainliest!
Please help
Use the distributive property to fill in the blanks below. 9x(7-2)=(_x7)-(_x2)
Answer:
9x(7-2)=(9x7)-(9x2)
Step-by-step explanation:
You're just multiplying 9 by the numbers inside the parenthesis... I hope this helps you :)
which number comes next 10 7 11 12 9 13 14 ___
Answer:
11
Step-by-step explanation:
the pattern is
-3 +4 +1 -3 +4 +1
MATH QUESTION SCREEN SHOT DOWN BELOW
15. When working with the expression 6(2+.03) if we multiply first before adding, that is an example
of using the
property?
Answer:
Distributive Property
Step-by-step explanation:
If you multiply first,
6(2 + .03)
6•2 + 6•.03
You must multiply the 6 times BOTH of the terms inside the parenthesis.
This is using the Distributive Property.
Who Logarithmic equation is equivalent to the exponential equation below? e^4c=5
A. Log 5= 4x
B. In 5= 4x
C. Log 4x= 5
D. In 4x= 5
Step-by-step explanation:
option a 5 = 4x
please mark me as brainlist pleaseAnswer:
ln 5 = 4x
Step-by-step explanation:
What is the area of this polygon ?
Answer:
51
Step-by-step explanation:
ΔABC: AC = 5 - (-1) = 6
height = (-1) - (-4) = 3
Area = 6*3/2 = 9
Rectangle ACDE, length AE = 6 - (-1) = 7
height DE = 5 - (-1) = 6
Area = 7 * 6 = 42
So the area of this polygon = 9 + 42 = 51
PLS HELP!! (40PTS.) (PRE-CALCULUS)
Step-by-step explanation:
All of these vectors are in DE Moviere Form, so let put them in Vector notation
To this this, multiply the modulus by the exact values of trig functions,
So using this, Vector u
[tex]u= 3j + 3 \sqrt{3} i[/tex]
Vector V
[tex]v = 2 \sqrt{2} j - 2 \sqrt{2} i[/tex]
Vector W
[tex]w = - 6 \sqrt{3}j + 6i[/tex]
So know we can compete the parts.
For Part A:
We first multiply the vector U by -7 then multiply that by v.
[tex] - 7u = - 21j - 21 \sqrt{3} j[/tex]
Know we do cross product
[tex] - 7u(v) = ( - 21j - 21 \sqrt{3} i)(2 \sqrt{2} j \: + 2 \sqrt{2} i[/tex]
First, multiply the j componets.
Then, do the I componets and then add the product together.
[tex] - 42 \sqrt{2} j - 42 \sqrt{6} i[/tex]
So the answer to part A is the vector above.
Part B:
Let first find the dot product of u and w.
First, the cross product of u and w is
[tex] - 18 \sqrt{3} j + 18\sqrt{3} i[/tex]
The magnitudes of each respective vector is
6 and -12. So if we use dot product formula
[tex] \cos( \alpha ) = \frac{xy}{ |x| |y| } [/tex]
So we get
[tex] \cos( \alpha ) = \frac{ - 18 \sqrt{3} + 18 \sqrt{3} }{ - 72} [/tex]
[tex] \cos(a) = \frac{0}{ - 12} [/tex]
[tex] \cos(a) = 0[/tex]
[tex]a = \frac{\pi}{2} [/tex]
Since the angle is pi/2, the vectors are orthogonal.
Answer:
correct
Step-by-step explanation:
pls show work
Thank youuu I’ll appreciate it <3
Answer:
x = 5
Step-by-step explanation:
Please please someone help me with this question!!! math question !!!!
In the graph we can identify two local minimums, with values y = 0, and at the x-values:
x = -3 and x = 3.
What is a local minimum?For a function f(x), we define a local minimum on an interval (a, b) if for a value c ∈ (a, b), then:
f(c) ≤ f(x) ∀ x ∈ (a, b)
a) On the image we can see two local minimums (the two lowest points on the graph). The values of the minimums are both 0.
b) The values of x where we have the minimums are:
x = -3 and x = 3.
If you want to learn more about minimums, you can read:
https://brainly.com/question/2118500
How many oranges does Heidi need to make one large orange
juice? Show your work.
Answer:
Heidi needs to make 9 oranges to make one large orange juice, give me brainliest answer:)