Answer: 16
Here are the steps to solve for x:
3(x+4) + 2 = 2+5(x-4)
1. Distribute to get rid of the parentheses
3x+12+2 = 2+5x-20
2. Combine like terms
3x+14 = 5x -18
3. Get like terms on the same side
3x+14 = 5x -18
-14 -14
3x = 5x -32
-5 -5
-2x = -32
4. Divide by -2 to isolate x
-2/2 x = -32/2
x=16
* PLEASE HELP *
4
If f (x) = 3(x+5) +-, what is f(a+ 2)?
7
4
O A. 31a + 7) +
a +2
4
B. 347(a) + 5) +
f (a) + 2
C. 3(a + 2) + 2+2
-
a
Answer:
C is the only correct answer
MULTIPLE CHOICE
A sphere has the same radius as a cylinder. In the cylinder, the radius equals the height. If
the cylinder has a volume of 150 cubic units, what is the volume of the sphere?
A
450 cubic units
B
200 cubic units
С
112.5 cubic units
D
50 cubic units
Answer:
B
Step-by-step explanation:
150 = πr² * r
r = 3.62783
V = 4/3 (π * 3.62783³)
V = 199.99 cubic units or 200
This figure represents an arrow painted on a walkway 12 times.
What is the area of the walkway that is painted with the 12 arrows?
70 cm²
90 cm²
840 cm²
1080 cm²
The area of the walkway that is painted with the 12 arrows will be 840 cm². Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
This figure represents an arrow painted on a walkway 12 times.
The figure is given below.
The figure is the combination of a triangle and a rectangle. Then the area of the figure will be
Area = 1/2 x 8 x 5 + 10 x 5
Area = 20 + 50
Area = 70 cm²
Then the area of the walkway that is painted with the 12 arrows will be
Area of the walkway = 70 x 12
Area of the walkway = 840 cm²
More about the geometry link is given below.
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Complete the sentence to describe the triangle shown.
GHI is _____ and _____.
The sum of three number is 99. The second number is 9 more than the first the third number is 4 times the second. What are you numbers?
Answer:
First Number=9
Second number=18
Third Number=72
Step-by-step explanation:
let's take the first number as X
X+(9+X)+[4(9+X)]=99
X+9+X+36+4=99
6X=99-45
X=54/6
X=9
find the equation (in terms of x) of the line through the point (-3,-3) and (2,-2)
Answer:
y = (1/5)x - 12/5
Step-by-step explanation:
First, you need to find the slope (m). This can be done by using the given points and the following equation.
y₁ - y₂ = m(x₁ - x₂)
-3 - (-2) = m(-3 - 2)
-1 = -5m
1/5 = m
Next, you need to find the y-intercept (b). You can do this by using the slope and the values of a point in the following equation.
y = mx + b
-2 = (1/5)(2) + b
-2 = 2/5 + b
-2.4 = b
-12/5 = b
Putting the information together, you are left with your final equation.
y = (1/5)x - 12/5
Anyone know the answer to 4 1/6 + 3/4? The final result should be a mixed number.
Answer:
=59/12 or 4.92 or 4 11/12
Step-by-step explanation:
4 1/6 + 3/4
=25/6 + 3/4
=59/12 or 4.92 or 4 11/12
Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.
The diagram is not drawn to scale. < AOC=
Answer:
∠ AOC = 124°
Step-by-step explanation:
the 3 angles lie on a straight line and sum to 180°
sum the 3 angles and equate to 180
3x + 94 + x + 30 + 2x - 4 = 180
6x + 120 = 180 ( subtract 120 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10
Then
∠ AOC = 3x + 94 = 3(10) + 94 = 30 + 94 = 124°
When specific frequencies of______are absorbed by a material, it forms an absorption spectrum.
A. mass
B. light
C. lightyears
D. weight
Answer:
B. light
Step-by-step explanation:
When specific frequencies of light are absorbed by a material, it forms an absorption spectrum.
At the beach, Cody saw 4 times as many
seagulls as pelicans. If there were a total of 30
birds, how many birds were pelicans?
Answer:
6 pelicans
Step-by-step explanation:
Let x = number of pelicans
Cody saw 4 times as many seagulls as pelicans:
⇒ number of seagulls = 4x
Total of 30 birds:
⇒ seagulls + pelicans = 30
⇒ 4x + x = 30
⇒ 5x = 30
⇒ x = 6
Therefore, there were 6 pelicans (and 24 seagulls).
ATQ
y+4y=305y=30y=6Pellicans are 6
Evaluate 0.2x for x = 5.
A. 0.1
B. 1
C. 10
D. 0
When I stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°. Approximately how tall is my home?
The height of the home is 20.71 feet and when stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the house, hence:
tan(46) = h/20
h = 20.71 feet
The height of the home is 20.71 feet and when stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°.
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This Diagram Shows a Regular Pentagon
What is the value of the expression?
Any help?
Answer:
32
Step-by-step explanation:
4 ÷ 1/8
make 4 into a fraction
4/1 ÷ 1/8
when dividing a fraction you change the divide into multiply and you flip the second fraction:
4/1 × 8/1 = 32
Answer:
32
Step-by-step explanation:
1/8 = 1 / 8 = 0.125 4 / 0.125 = 32
mad skillz gl cheating on your I-ready test
please answer this question
Answer:
[tex]\displaystyle \int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx = \boxed{ - \frac{\sqrt{x^4 + 1} (8x^8 - 4x^4 + 3)}{30x^{10}} + C }[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative 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 Methods: U-Substitution, U-Solve, Trigonometric Substitution
Step-by-step explanation:
*Note:
The problem is too big to fit all work. I will assume that you know how to do basic calculus.
Step 1: Define
Identify given.
[tex]\displaystyle \int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integrand] Rewrite:Step 3: Integrate Pt. 2
Identify variables for u-substitution/u-solve.
Set u:Step 4: Integrate Pt. 3
Start solving the integral using u-solve:
[tex]\displaystyle \begin{aligned}\int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx & = \int {\frac{1}{x^{11}\sqrt{x^4 + 1}}} \, dx \\& = \int {\frac{1}{2u^6 \sqrt{u^2 + 1}}} \, du \\& = \frac{1}{2} \int {\frac{1}{u^6 \sqrt{u^2 + 1}}} \, du \\\end{aligned}[/tex]
Step 5: Integrate Pt. 4
Identify variables for trigonometric substitution.
Set u:Step 6: Integrate Pt. 5
Let's focus on just the integral itself. Apply the Trigonometric Substitution Integration Method and other basic integration techniques listed under "Calculus":
[tex]\displaystyle \begin{aligned}\int {\frac{1}{u^6 \sqrt{u^2 + 1} }} \, du & = \int {\frac{\sec^2 v}{\tan^6 v \sqrt{\tan^2 v + 1} }} \, dv \\& = \int {\frac{\sec v}{\tan^6 v}} \, dv \\& = \int {\cot v \csc v (\csc^2 v - 1)^2} \, dv \\\end{aligned}[/tex]
Step 7: Integrate Pt. 6
Identify variables for u-substitution/u-solve again.
Use another variable besides u to avoid confusion with earlier substitutions:
Set w:Step 8: Integrate Pt. 7
Reduce the integral using the U-Solve Integration Method and other basic integration techniques listed under "Calculus":
[tex]\displaystyle \begin{aligned}\int {\frac{1}{u^6 \sqrt{u^2 + 1} }} \, du & = \int {\frac{\sec^2 v}{\tan^6 v \sqrt{\tan^2 v + 1} }} \, dv \\& = \int {\frac{\sec v}{\tan^6 v}} \, dv \\& = \int {\cot v \csc v (\csc^2 v - 1)^2} \, dv \\& = \int {-(w^2 - 1)^2} \, dw \\& = - \int {(w^2 - 1)^2} \, dw \\& = - \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw \\\end{aligned}[/tex]
Step 9: Integrate Pt. 8
Solve the integral using basic integration techniques listed under "Calculus":
[tex]\displaystyle\begin{aligned}- \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw & = - \Bigg[ \int {w^4} \, dx - \int {2w^2} \, dx + \int {} \, dx \Bigg] \\& = - \Bigg[ \int {w^4} \, dx - 2 \int {w^2} \, dx + \int {} \, dx \Bigg] \\& = - \Bigg[ \frac{w^5}{5} - \frac{2w^3}{3} + w + C \Bigg] \\& = - \frac{w^5}{5} + \frac{2w^3}{3} - w + C \\& = - \frac{\csc^5 v}{5} + \frac{2\csc^3 v}{3} - \csc v + C \\\end{aligned}[/tex]
[tex]\displaystyle\begin{aligned}- \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw & = - \frac{(u^2 + 1)^\Big{\frac{5}{2}}}{5u^5} + \frac{2(u^2 + 1)^\Big{\frac{3}{2}}}{3u^3} - \frac{\sqrt{u^2 + 1}}{u} + C \\\end{aligned}[/tex]
Step 10: Integrate Pt. 9
Let's substitute our integral value into our integral from "Step 4":
[tex]\displaystyle\begin{aligned}\frac{1}{2} \int {\frac{1}{u^6 \sqrt{u^2 + 1}}} \, du & = - \frac{(u^2 + 1)^\Big{\frac{5}{2}}}{10u^5} + \frac{(u^2 + 1)^\Big{\frac{3}{2}}}{3u^3} - \frac{\sqrt{u^2 + 1}}{2u} + C \\& = - \frac{(x^4 + 1)^\Big{\frac{5}{2}}}{10x^{10}} + \frac{(x^4 + 1)^\Big{\frac{3}{2}}}{3x^6} - \frac{\sqrt{x^4 + 1}}{2x^2} + C \\& = \boxed{ - \frac{\sqrt{x^4 + 1}(8x^8 - 4x^4 + 3)}{30x^{10}} + C } \\\end{aligned}[/tex]
∴ we have found the indefinite integral.
___
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___
Topic: Calculus
Which transformations, when performed together, would carry graph A onto graph B? Choose all that apply.
A. A reflection over the x-axis
B. A translation of 4 units up
C. A vertical compression with a scale factor of 1/2
D. A vertical stretch with a scale factor of 2
Answer:
a and b I know for sure, im not sure about the others sorry
Simplify: 4 - 5.2 + 6 + 7.9 - 8
3.9x+0.8y is the answer to your question.
Solve for xxx.
Enter the solutions from least to greatest.
(-5x +4)(x -3)=0(−5x+4)(x−3)=0left parenthesis, minus, 5, x, plus, 4, right parenthesis, left parenthesis, x, minus, 3, right parenthesis, equals, 0
\text{lesser }x =lesser x=start text, l, e, s, s, e, r, space, end text, x, equals
\text{greater } x =greater x=start text, g, r, e, a, t, e, r, space, end text, x, equals
Then the two solutions of the quadratic equation are 4/5 and 3.
How to solve the equation?
Here we want to solve the quadratic equation:
(-5x + 4)*(x - 3) = 0
The two solutions are the values of x for which each parenthesis becomes equal to zero, so the two solutions are given by:
-5x + 4 = 0
x - 3 = 0
If we solve these two equations we get:
x = -4/-5 = 4/5
x = 3
Then the two solutions are 4/5 and 3.
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URGENT BRIANLIEST WILL BE GIVEN
Whats the volume of the barn?
Answer:
7840 ft^3
Step-by-step explanation:
give brainliest please!
(10*14*40) + (14*40*8)1/2
look at the image and answer it for me please
Help me please? I don’t understand.
Answer:
90°
Step-by-step explanation:
This is important to remember, the three interior angles will always have a sun of 180.
knowing this it’s pretty basic math
a + b + c = 180
33 + 57 + c = 180
90 + c = 180
[subtract 90 from each side (90 cancels out)]
c = 90°
…
Check
- > 33 + 57 + 90 = 180
33 + 147 + = 180
180 = 180
Check!
-
If f(x) = x3 - 2, find f(3).
O 25
O 24
O 26
O 20
Answer:
Option A, [tex]25[/tex]
Step-by-step explanation:
Step 1: Plug in 3 for x and solve
[tex]f(x) = x^3 - 2[/tex]
[tex]f(3) = (3)^3 - 2[/tex]
[tex]f(3) = 27 - 2[/tex]
[tex]f(3) = 25[/tex]
Answer: Option A, [tex]25[/tex]
As part of a school project, Juanita was asked to draw an accurate sketch of her bedroom. using the dimensions and scale shown, determine the actual area of her room: 2.2in by 4.3in 1 inch is + to 5ft
what is the parent function
Using translation concepts, it is found that the parent function graphed in this problem is [tex]y = \sqrt{x}[/tex].
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have only one graph, which has the format of the square root of x, hence the function is:
[tex]y = \sqrt{x}[/tex]
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Find the area of the shaded figure.
Answer: 12
Step By Step Explanation:
Solve for x. Round to the nearest tenth.
8. f^7 • f^1 (1 point)
A. f^8
B. f^7
C. (2f)^8
D. (2f)^7
Answer:f^8
Step-by-step explanation:
F^7 multiplied by F^1 =f (7+6+1)= f^8F
A cube has edge length of 12 in. Find its volume.
Answer:
1728 units^3
Step-by-step explanation:
The volume of a cube is given by the formula: a^3, where a is edge length.
a^3
(12)^3
1728
precal—easy one question. please help!!
If you put $2,000 into an interest
bearing account, where interest is
compounded quarterly (4 times a year) at
6%, how long will it take for your money
to triple?
Use A = P(1+5)
Solve for t.
t = [?] years
Round your answer to the nearest tenth.
Answer:
18.4 years
Step-by-step explanation:
The compound interest formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
For this problem we have
[tex]P= 2000\\r= 0.06\\n= 4\\A= 2000(3)= 6000[/tex]
We plug our numbers...
[tex]6,000= 2,000(1+\frac{0.06}{4} )^{4t} \\[/tex]
Then divide
[tex]6,000/2,000=3[/tex]
[tex]3= (1.015)^{4t}[/tex]
Apply log both sides
[tex]3log=(1.015) 4tlog[/tex]
Solve for t
[tex]t= \frac{3log}{(4log(1.015))} =18.4 years[/tex]