Answers
Answer:
Step-by-step explanation:
so let the equation equal 13
13 = 3[tex]x^{3}[/tex]-12x+13
so when ever 3[tex]x^{3}[/tex]-12x=0 then this is equation is true, soooo
x (3[tex]x^{2}[/tex] - 12) =0
so when x = 0 this is true, but also when
3[tex]x^{2}[/tex]-12=0 also
3[tex]x^{2}[/tex] = 12
[tex]x^{2}[/tex] = 4
x = 2
so when x = 2 or -2 or 0 , then this is true
Related Questions
Please Help NO LINKS
Suppose that
R
is the finite region bounded by
f
(
x
)
=
4
√
x
and
g
(
x
)
=
x
.
Find the exact value of the volume of the object we obtain when rotating
R
about the
x
-axis.
V
=
Find the exact value of the volume of the object we obtain when rotating
R
about the
y
-axis.
V
=
Answers
Answer:
Part A)
2048π/3 cubic units.
Part B)
8192π/15 units.
Step-by-step explanation:
We are given that R is the finite region bounded by the graphs of functions:
[tex]f(x)=4\sqrt{x}\text{ and } g(x)=x[/tex]
Part A)
We want to find the volume of the solid of revolution obtained when rotating R about the x-axis.
We can use the washer method, given by:
[tex]\displaystyle \pi\int_a^b[R(x)]^2-[r(x)]^2\, dx[/tex]
Where R is the outer radius and r is the inner radius.
Find the points of intersection of the two graphs:
[tex]\displaystyle \begin{aligned} 4\sqrt{x} & = x \\ 16x&= x^2 \\ x^2-16x&= 0 \\ x(x-16) & = 0 \\ x&=0 \text{ and } x=16\end{aligned}[/tex]
Hence, our limits of integration is from x = 0 to x = 16.
Since 4√x ≥ x for all values of x between [0, 16], the outer radius R is f(x) and the inner radius r is g(x). Substitute:
[tex]\displaystyle V=\pi\int_0^{16}(4\sqrt{x})^2-(x)^2\, dx[/tex]
Evaluate:
[tex]\displaystyle \begin{aligned} \displaystyle V&=\pi\int_0^{16}(4\sqrt{x})^2-(x)^2\, dx \\\\ &=\pi\int_0^{16} 16x-x^2\, dx \\\\ &=\pi\left(8x^2-\frac{1}{3}x^3\Big|_{0}^{16}\right)\\\\ &=\frac{2048\pi}{3}\text{ units}^3 \end{aligned}[/tex]
The volume is 2048π/3 cubic units.
Part B)
We want to find the volume of the solid of revolution obtained when rotating R about the y-axis.
First, rewrite each function in terms of y:
[tex]\displaystyle f(y) = \frac{y^2}{16}\text{ and } g(y) = y[/tex]
Solving for the intersection yields y = 0 and y = 16. So, our limits of integration are from y = 0 to y = 16.
The washer method for revolving about the y-axis is given by:
[tex]\displaystyle V=\pi\int_{a}^{b}[R(y)]^2-[r(y)]^2\, dy[/tex]
Since g(y) ≥ f(y) for all y in the interval [0, 16], our outer radius R is g(y) and our inner radius r is f(y). Substitute and evaluate:
[tex]\displaystyle \begin{aligned} \displaystyle V&=\pi\int_{a}^{b}[R(y)]^2-[r(y)]^2\, dy \\\\ &=\pi\int_{0}^{16} (y)^2- \left(\frac{y^2}{16}\right)^2\, dy\\\\ &=\pi\int_0^{16} y^2 - \frac{y^4}{256} \, dy \\\\ &=\pi\left(\frac{1}{3}y^3-\frac{1}{1280}y^5\Bigg|_{0}^{16}\right)\\\\ &=\frac{8192\pi}{15}\text{ units}^3\end{aligned}[/tex]
The volume is 8192π/15 cubic units.
Question 3
Solve In(x + 1) = 1.
A) X= 2
B) x = e + 1
C)x= e
D)x= e-1
Answers
Answer:
D) x = e - 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra II
Natural Logarithms ln and Euler's number eSolving logarithmic equationsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle ln(x + 1) = 1[/tex]
Step 2: Solve for x
[Equality Property] e both sides: [tex]\displaystyle e^{ln(x + 1)} = e^1[/tex]Simplify: [tex]\displaystyle x + 1 = e^1[/tex][Equality Property] Isolate x: [tex]\displaystyle x = e - 1[/tex]Solve. SHOW ALL YOUR WORK
2.51 * .2
77/ 1.2
Answers
Answer:
0.502
64.1666
Step-by-step explanation:
Detained explanation of the product operation and division operation is attached below.
2.51 * 0.2 = 0.502
(after multiplying) the number of decimal places of the town values is added and counted from the right in the product to place the data Comal point appropriately.
77/1.2 ; values were multiplied by 10 in other to obtain inter values for the denominator.
A librarian needs to package up all of the children’s books and move them to a different location in the library there are 625 books and she can fit 25 books in one box how many boxes does she need in order to move all the books
Answers
9514 1404 393
Answer:
25
Step-by-step explanation:
total books = (books per box) × (number of boxes)
number of boxes = (total books)/(books per box) = 625 /25 = 25
She needs 25 boxes to move all the books.
Please explain the misleading
Answers
There are more compact cars (4*10 = 40) compared to trucks (2*10 = 20); however, the pictogram might make it appear that there are more trucks because the individual truck icon is larger compared to an individual compact car icon.
To anyone giving this image a quick glance, they may erroneously conclude that there are more trucks since their eye would notice the trucks first. Also, the person might think there are more trucks because bigger sizes tend to correspond to more proportion.
In real life, a truck is larger than a compact car, but the icons need to be the same size to have the figure not be misleading.
A very similar issue happens with the mid-size cars vs the compact cars as well. The three mid-size car icons span the same total width as the compact cars do, indicating that a reader might mistakenly conclude that there are the same number of mid-size cars compared to compact ones (when that's not true either).
What are the values of x and y?
Answers
Answer:
x =5, y = 22
Step-by-step explanation:
5y + 79 + 5y + 61 = 360
10y = 220
y = 22
2x + 7 = 4x - 3
-2x = -10
x = 5
24
4
3+
2+
2
1
-3
-
-1
1
1
2
3
4
-1+
-2 +
-3+
4
What is the slope of the line?
Answers
Answer:
1.5/2
Step-by-step explanation:
slope formula = y2-y1/ x2 - x1
point one (2,0)
point 2 (0, 1.5)
you dont really need to subtract anything because the intercepts, so the slope is 1.5/2
(slope or m = 1.5 - 0 / 2 - 0 )
x intercept = value of x when y is 0
y intercept = value of y when x is 0
Enunciate demerits of classical probability.
Answers
Answer:
Some demerits of classical probability are provided throughout the following portion.
Step-by-step explanation:
This could only be utilized if somehow the occurrences are fairly probable as well as predictable. Such supposition is established far in advance of the investigation or testing.This only applies whereas if an overall number of occurrences seems to be limited, one such term has quite a restricted scope, such as coins tossing, picking card numbers, etc.What is the next term of the geometric sequence? 3, -12, 48
Answers
Answer:
-192
Step-by-step explanation:
it is a geometric progression
r=-4
Help is needed for this area answer
Answers
Answer:
So im pretty sure it is just adding each side
Step-by-step explanation:
Add 10 + 5 + 3 + 5 + 7
Method of Least Squares, Evaluation of Cost Equation Lassiter Company used the method of least squares to develop a cost equation to predict the cost of moving materials. There were 80 data points for the regression, and the following computer output was generated:
Intercept $17,350
Slope 12.00
Coefficient of correlation 0.92
Standard error $220
The activity driver used was the number of moves.
Required:
1. What is the cost formula?
2. Using the cost formula, predictthe costofmovingmaterialsif340movesaremade.Nowpreparea95 percent con?dence interval forth is prediction.(Round to the nearest dollar.)
3. What percentage of the variability in moving cost is explained by the number of moves? Do you think the equation will predict well? Why or why not?
Answers
Solution :
1). The cost of the formula is given as :
$ 19,350 + $12 x
2). 95% [tex]\text{confidence interval}[/tex] for the prediction is :
[tex]$21430 - 1.96 \times 220 < \text{Yf} < 21430+1.96 \times 220$[/tex]
[tex]$20998.8 < \text{Yf} < 21861.2$[/tex]
[tex]$20999 < \text{Yf} < 21861$[/tex] (rounding off)
3). r = 0.92
Therefore, [tex]$r^2 = 0.8464$[/tex]
That is 84.64 % of the variability in the moving cost is best explained by the number of moves.
Measurement error that is normally distributed with a mean of 0 and a standard deviation of 0.5 gram is added to the true weight of a sample. Then the measurement is rounded to the nearest gram. Suppose that the true weight of a sample is 166.0 grams.
(a) What is the probability that the rounded result is 167 grams?
(b) What is the probability that the rounded result is 167 grams or more?
Answers
Answer:
(a)[tex]0.15731[/tex]
(b)0.02275
Step-by-step explanation:
We are given that
Mean=0
Standard deviation=0.5 g
True weight of a sample=166 g
Let X denote the normal random variable with mean =166+0=166
(a)
P(166.5<X<167.5)
=[tex]P(\frac{166.5-166}{0.5}<\frac{X-\mu}{\sigma}<\frac{167.5-166}{0.5})[/tex]
=[tex]P(1<Z<3)[/tex]
=[tex]P(Z<3)-P(Z<1)[/tex]
[tex]=0.99865-0.84134[/tex]
[tex]=0.15731[/tex]
(b)
[tex]P(X>167)=P(Z>\frac{167-166}{0.5})[/tex]
[tex]=P(Z>2)[/tex]
[tex]=1-P(Z<2)[/tex]
[tex]=1-0.97725[/tex]
[tex]=0.02275[/tex]
The parametric equations for the paths of two projectiles are given. At what rate is the distance between the two objects changing at the given value of t? (Round your answer to two decimal places.) x1 = 10 cos(2t), y1 = 6 sin(2t) First object x2 = 4 cos(t), y2 = 4 sin(t) Second object t = π/2
Answers
Answer:
- [tex]\frac{4}{\sqrt{29} }[/tex]
Step-by-step explanation:
The equations for the 1st object :
x₁ = 10 cos(2t), and y₁ = 6 sin(2t)
2nd object :
x₂ = 4 cos(t), y₂ = 4 sin(t)
Determine rate at which distance between objects will continue to change
solution Attached below
Distance( D ) = [tex]\sqrt{(10cos2(t) - 4cos(t))^2 + (6sin2(t) -4sin(t))^2}[/tex]
hence; dD/dt = - [tex]\frac{4}{\sqrt{29} }[/tex]
Which answers describe the shape below? Check all that apply.
A. Quadrilateral
B. Trapezoid
C. Rhombus
D. Rectangle
E. Parallelogram
F. Square
Answers
9514 1404 393
Answer:
A, C, D, E, F
Step-by-step explanation:
The figure has 4 sides: 2 pairs of parallel sides, all of equal length. The angles are right angles.
The figure is a ...
quadrilateralrhombusrectangleparallelogramsquareAnswer:
A, and F.
Step-by-step explanation: I hope this helps.
Four sides are called a quadrilateral.
Three sides are called a triangle.
Five sides are called a pentagon.
Six sides are called hexagons.
A rectangle is a quadrilateral with four right angles.
A square is a quadrilateral with four right angles.
A rhombus is a quadrilateral with four equal sides.
A parallelogram is a quadrilateral with two pairs of parallel sides.
A trapezoid is a quadrilateral with one pair of parallel sides.
Acute angles are less than 90°
Right angles are exactly 90°
Obtuse angles are more than 90°
Acute triangle has three acute angles.
Right triangle has one right angle.
An obtuse triangle has one obtuse angle.
Isosceles triangle has the minimum of two sides that are equal length.
Equilateral triangle has three sides that are at an equal length.
Scalene triangles have three sides of different lengths,
Acute triangles with three equal sides are called an equiangular triangle.
How many additional teachers will have to be hired to reduce the ratio to 1:20
Answers
Answer:
30 additional teachers will have to be hired to reduce the ratio to 1:20.
Step-by-step explanation:
Given that Jefferson School has 1800 students, and the teacher-pupil ratio is 1:30, to determine how many additional teachers will have to be hired to reduce the ratio to 1:20, the following calculation must be performed:
30 = 1800
1 = X
1800/30 = X
60 = X
20 = 1800
1 = X
1800/20 = X
90 = X
90 - 60 = 30
Therefore, 30 additional teachers will have to be hired to reduce the ratio to 1:20.
29. Family income in the middle class: Bauer et al. (2011) identified the median income of a middle-class family in their sample to be $84,200 annually; the mean family income was $85,300 annually. In their data, the lowest family income reported in this group was $65,100 annually, and the highest family income reported was $103,400 annually. Based on the data given, was the mean an appropriate value to summarize these data
Answers
Answer:
No it is not
Step-by-step explanation:
The median is 84200
The mean is 85300
Low income is 65100
High income is 103400
From this information, we can see a skewed data. The mean would not be a good estimate value. Rather the center (median) would be more appropriate.
When we calculate the middle value for this data
65100+103400 = 168500/2 = 84250
84250 is closer to the median score of 84200. The median is best in the presence of outliers.
PLEASE BE RIGHT FILL IN THE BLANKS
Answers
Answer:
3 units to the right and 2 units up
Step-by-step explanation:
Question 4 of 10
Is the graph increasing, decreasing, or constant?
O A. Decreasing
O B. Constant
O C. Increasing
Answers
What is the ninth term in the binomial expansion of (x – 2y)13?
329,472x5y8
–329,472x5y8
–41,184x8y5
41,184x8y5
Answers
Answer:
It's A
Step-by-step explanation:
On Edg
Two statements are logically equivalent when:
A. The two statements are true in virtue of their logical structure alone, i.e. the two statement are always true.
B. The first statement implies the second, i.e. if the first statement is true, so is the second.
C. The two statements agree in point of truth or falsehood in virtue of their logical structure alone, i.e. the two statement are true or false in exactly the same conditions.
D. The two statements are false in virtue of their logical structure alone, i.e. the two statement are always false.
Answers
C. The two statements agree in point of truth or falsehood in virtue of their logical structure alone, i.e. the two statement are true or false in exactly the same conditions.
Step-by-step explanation:For two statements to be logically equivalent, their truth values (true or false) must be the same for every variation of their constituent variables. In other words, if the truth tables of both statements are the same for every possible value of their variables, then they are logically equivalent.
For example;
The two statements P ∩ (Q U R) and (P ∩ Q) ∪ (P ∩ R) are logically equivalent.
If P, Q and R are all true, then;
P ∩ (Q U R) = true
(P ∩ Q) ∪ (P ∩ R) = true
If P, Q and R are all true, then;
P ∩ (Q U R) = false
(P ∩ Q) ∪ (P ∩ R) = false
If P = false, Q = true and R = true, then;
P ∩ (Q U R) = false
(P ∩ Q) ∪ (P ∩ R) = false
Checking for all other possible combinations of truth values of P, Q and R will always give the same results for the two statements, therefore, they are logically equivalent.
70. If set A consists of (3, 5, 7, 9) and set B consists of (1, 2, 3, 5, 8, 13), what is the average of the union of set A and set B?
A) 6
B) 3
C) 48
D) 56
⚠️will give brainliest to the best answer
Answers
Step-by-step explanation:
the answer would be 6. brrr
A) 6
{1,2,3,5,7,8,9,13}
The average is going to be 6.
Which value of n makes the equation true?
-1/2n=-8
Answers
Answer:
16?
Step-by-step explanation:
I'm not sure. I hope so.
-1/2n=-8
2(-1/2n)=-8(2)
-n=-16
divide by -1 and you get n=16 !
At the bright-as-day light bulb factory, 5 out of each 136 bulbs produced are defective. If the daily production is 2720 bulbs, how many are defective?
Answers
Answer:
100 lightbulbs
Step-by-step explanation:
Basically find the percentage of lightbulbs that are bad. 5/136. So about 3. 6 percent. I'm going to use a more exact form of this percent for my calculations though. Now use the decimal for of this (0.036....) and multiply it by 2720. Using my exact decimal, the answer just so happened to be exactly 100. So there will be 100 defective lightbulbs per day. (Teachers are a stickler for units, so don't forget them if it's for a teacher)
Hope this helps!
(-3).(+9)-(-24)-(+6).(+2)
Answers
What is the y-intercept of the line given by y=4x - 6
Answers
Answer:
y= -6
Step-by-step explanation:
the y-intercept is -6, which corresponds to point (0,-6)
remember that you're using the
y=mx+b format of an equation of a line where b is the y-intercept.
Also, if you make x=0, y will be -6.
2(5 – 9x) = -3(x - 2)
Answers
Answer:
[tex]x=\frac{4}{15}[/tex]
Step-by-step explanation:
1. Distributive Property[tex]10-18x=-3x+6[/tex]
2. Solving for x[tex]10-6=-3x+18x\\4=15x\\\frac{4}{15} =x[/tex]
Hope this helped! Please mark brainliest :)
John’s grocery bill totaled $200. After he used his coupons, the cash register showed the total bill as $20. Which statement is true?
The grocery bill before the coupons were used was 10 times as much as the bill after the coupons were used.
The grocery bill after the coupons were used was 10 times as much as the bill before the coupons were used.
The grocery bill before the coupons were used was 100 times as much as the bill after the coupons were used.
The grocery bill after the coupons were used was 100 times as much as the bill before the coupons were used.
Answers
Answer:
The grocery bill before the coupons were used was 10 times as much as the bill after the coupons were used.
Step-by-step explanation:
The price after coupons were used is 20, and the price before was 200. 20x10 =200
During a party, Eli loses a bet and is forced to drink a bottle of lemon juice. Not long thereafter, he begins complaining of having difficulty breathing, and his friends take him to the local emergency room. His blood pH is 7.28. What does this mean
Answers
Answer:
It means acidosis.
Step-by-step explanation:
When the pH level of the human blood is less than 7.35, the condition is known as acidosis.
When the pH level of the human blood is more than 7.45, the condition is known as alkalosis.
The organs which help to regulate the pH of human body is lungs.
Lungs remove the carbon di oxide through breathing or respiration.
Plz help. I’m finding surface area. I need the answer in units. Thank you.
Answers
Answer:
C. 17 units
Step-by-step explanation:
Surface area of rectangular prism is given as:
A = 2lw + 2lh + 2wh
A = 930 square units
l = 12 units
h = 9 units
w = ? (We're to find the width)
Plug in the value into the formula
930 = 2*12*w + 2*12*9 + 2*w*9
930 = 24w + 216 + 18w
Add like terms
930 - 216 = 42w
714 = 42w
Divide both sides by 42
714/42 = 42w/42
17 = w
w = 17 units
The graph below has the same shape as the graph of G(x) = x, but it is
shifted three units to the left. Complete its equation. Enter exponents using
the caret (-); for example, enter x as x^4. Do not include "G(x) =" in your
answer.
G(x) =
Answers
Answer:
G(x) = x+3
Step-by-step explanation:
The equation of the graph is G (x) = (x - 3)⁴
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A relation between a set of inputs having one output each is called a function.
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of function G (x) is shown in image.
Here, the graph is 3 units left to function F (x) = x⁴.
The equation of the graph is G (x) = (x - 3)⁴
Hence, the equation of the graph is G (x) = (x - 3)⁴
To learn more on Graph click:
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