What are the polynomials for 29 x 51
Answer:
the answer is 1479
stop using this fancy term in this situation
Tom started an entertainment company. The net value of the company (in thousands of dollars) ttt months after its creation is modeled by v(t)=4t^2-24t-28v(t)=4t 2 −24t−28v, left parenthesis, t, right parenthesis, equals, 4, t, squared, minus, 24, t, minus, 28 Tom wants to know when his company will be at its lowest net value. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. v(t)=v(t)=v, left parenthesis, t, right parenthesis, equals 2) How many months after its creation does the company reach its lowest net value? months
Answer:
4(t-3)^2-64
3 months
Step-by-step explanation:
1) Vertex form of the equation of the parabola is [tex]v(t)=4(t-3)^2-64[/tex]
2)3 months after its creation the company will reach its lowest net value.
The net value of the company after t months is given as:
[tex]v(t) = 4t^2-24t-28[/tex]
The above parabolic equation can be written as
[tex]v(t)=4(t^2-6t+9)-64[/tex]........(1)
What is the general equation of a parabola with vertex (h,k)?The general equation of a parabola is:
[tex]y = a(x-h)^2 +k[/tex]
where (h,k) is the vertex of the parabola.
So, (1) can be written in the vertex form as
[tex]v(t)=4(t-3)^2-64[/tex]
So, the vertex of the given parabola is (3, -64).
[tex]v'(t) = 8t - 24[/tex]
[tex]v''(t) =8[/tex]
So, from the second derivative test
t value corresponding to v'(t) =0 will give minimum value
[tex]8t-24=0[/tex]
[tex]t=3[/tex]
So, 3 months after its creation the company will reach its lowest net value.
Therefore, 1) Vertex form of the equation of the parabola is [tex]v(t)=4(t-3)^2-64[/tex]
2)3 months after its creation the company will reach its lowest net value.
To get more about minima visit:
https://brainly.com/question/6422517
Robert is designing hexagonal tiles that are made up of 12 identical right triangles, as shown. Write three equations robert can use the find the area A of the hexagonal tile in square centimeters.
Robert is designing hexagonal tiles that are made up of 12 identical right triangles, as shown. Write three equations robert can use the find the area A of the hexagonal tile in square centimeters.
Given:- Hexagon is made up of identical 12 triangles Sides of triangle :- 5cm,4cm,3cmTo Find:- 3 Equations for finding the area of the triangle Answer:-First method:-we know 12 triangles make up hexagon so we can say
12× Area of triangle = Area of hexagon
[tex]12 \times ( \frac{1}{2} \times base \times height) = area \: of \: hexagon[/tex]
[tex]12 \times \frac{1}{2} \times 3 \times 4 = area \: of \: hexagon \\ 12 \times 3 \times 2 = area \: of \: hexagon \\ 12 \times 6 = area \: of \: hexagon \\ 72cm {}^{2} = area \: of \: hexagon[/tex]
Second method:-we can see that there is a rectangle in the middle of the hexagon and 4 triangles (identical ) on 2 sides
According to question:-
sides of rectangle :- 8 cm and 6cmside of triangle is sameso area of hexagon= area of square+ 4 area of triangle
[tex]( l \times b ) + (4( \frac{1}{2} \times b \times h)) = area \: of \: hexagon[/tex]
[tex] (8 \times 6 ) + 4(\frac{1}{2} \times 4 \times 3) = area \: of \: hexagon \\ 48 + 24= area \: of \: hexagon \\ 72 {cm}^{2} = area \: of \: hexagon[/tex]
Third method:-we can see 2 square at the sides of the 4 triangle at the middle so we can say
side of square = 5cmsides of triangle = 4cm ,3cmArea of hexagon =4× area of triangle + 2 area of square
[tex]area \: of \: hexagon = (4\frac{1 }{2} × 4×3)+2(5×5) [/tex]
[tex]area \: of \: hexagon = 24+ 50 \\ area \: of \: hexagon = 74cm² \\ area \: of \: hexagon = 72 cm ² approx [/tex]
This approximation turn out bez in your question the area of 4 identical triangle is not equal to square formed by them
4 area of triangle = area of square
4×6 = 24 cm² not equal to 5² = 25 cm²
thats why there is approximation of 2 cm²
What is the value of 20 + 3 (7 + 4) + 5 + 2 (7 + 9)?
A. 73
B. 90
C. 290
D. 365
Answer:
B. 90
Step-by-step explanation:
Simplify
20 + 3(11) + 5 + 2(16)
Expand
20 + 33 + 5 + 32
Simplify
= 90
4(x-2)=x+10
what does x equal
15 point and brainiest
Answer:
4x-8=x+10
combine like terms
5x+2 is your answer
Step-by-step explanation:
PLEASE HELP
m<6 = (2x-5)°
m<4 = (x+5)°
9514 1404 393
Answer:
∠3 = 115°
Step-by-step explanation:
Angles 4 and 6 are "same-side interior angles", so are supplementary.
∠4 +∠6 = 180°
(x +5) +(2x -5) = 180
3x = 180
x = 60
The angles marked 3 and 6 are alternate interior angles, so are congruent. The measure of angle 3 is ...
∠3 = ∠6 = (2x -5)° = (2(60) -5)°
∠3 = 115°
What information do you need to write the equation of a transformed quadratic equation in vertex form
Answer:
To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square.
Step-by-step explanation:
#7 and #8 find the slope in the graphs MULTIPLE CHOICE
Answer:
7)A 8)D
Step-by-step explanation:
Answer:
7 is d and 8 is a
Step-by-step explanation:
78 fifth graders are going on a field trip to the zoo. If each school bus seats 35 students how many buses will be needed?
Will there be extra seats for parents and teachers? If so, how many extra seats?
Answer:
You will need 3 buses and you will not have any seats left.
In the expression y=3x+7 what does the input have to be in order for the output to be -2?
Answer:
x= -3
Step-by-step explanation:
you replace y with -2 as the output
then subtract the 7 on both sides to have '-9=3x'
divide by 3 on both sides
x= -3
Answer:
x=-3
Step-by-step explanation:
y=3(-3)+7
y=-9+7
y=-2
k / 6 = 4 solve this question need it ASAP
Answer:
k=24
Step-by-step explanation:
k/6=4 (multiply both sides by 6)
k/6(6)=4(6)
k=24
k= 24 is the answer
Step-by-step explanation:
6×4=24
To rewrite y(t) = 2 * sin (4 pi t) + 5 * cos (4 pi t) in the form Asin(wt+phi), you must first find the amplitude. Use c1=Asin(phi) and c2=Acos(phi) along with the Pythagorean identity to solve for A (amplitude.) previous question: By plugging in for c1 and c2, the equation should shift to be: Asin(wt+phi)=Acos(phi)sin(wt)+Asin(phi)cos(wt) Use the identity sin(x+y)=sin(x)cos(y)+cos(x)sin(y)
Answer:
The equation in standard form is [tex]y(t) = 5.390\cdot \sin (4\pi\cdot t +0.379\pi)[/tex].
Step-by-step explanation:
We use the following trigonometric identity:
[tex]\sin (\alpha + \beta) = \sin \alpha\cdot \cos \beta + \cos \alpha \cdot \sin \beta[/tex], [tex]\forall\,\alpha,\beta\in \mathbb{R}[/tex] (Eq. 1)
If we have formula [tex]y(t) = 2\cdot \sin (4\pi\cdot t)+5\cdot \cos (4\pi\cdot t)[/tex], by direct comparison with (Eq. 1):
[tex]A\cdot \cos \phi = 2[/tex] (Eq. 2)
[tex]A\cdot \sin \phi = 5[/tex] (Eq. 3)
Where:
[tex]A[/tex] - Amplitude, dimensionless.
[tex]\phi[/tex] - Phase angle, measured in radians.
By dividing (Eq. 3) by (Eq. 2), we get that:
[tex]\tan\phi = \frac{5}{2}[/tex]
[tex]\phi = \tan^{-1}\left(\frac{5}{2} \right)[/tex]
[tex]\phi = 0.379\pi\,rad[/tex]
From (Eq. 2) we find the amplitude:
[tex]A = \frac{2}{\cos \phi}[/tex]
[tex]A = \frac{2}{\cos 0.379\pi}[/tex]
[tex]A = 5.390[/tex]
Therefore, we find that equation in standard form is:
[tex]y(t) = A\cdot \sin (\omega\cdot t +\phi)[/tex] (Eq. 4)
Where [tex]\omega[/tex] is the angular frequency, measured in radians per second.
([tex]A = 5.390[/tex], [tex]\omega = 4\pi\,\frac{rad}{s}[/tex], [tex]\phi = 0.379\pi\,rad[/tex])
[tex]y(t) = 5.390\cdot \sin (4\pi\cdot t +0.379\pi)[/tex]
I’m out of school right now and i don’t know what the answer is this is the question. What’s the mean for 17 9 11 and 7?
Answer:
11
Step-by-step explanation:
Given the following question:
[tex]17,9,11,7[/tex]
To find the mean of any given data set we need to add all the values together and then divide that answer by the total amount of values in the data set.
[tex]17,9,11,7[/tex]
[tex]17+9+11+7[/tex]
[tex]9+11=20[/tex]
[tex]20+17=37[/tex]
[tex]37+7=44[/tex]
[tex]=44[/tex]
Now divide the answer by the total amount of values:
[tex]44[/tex]
[tex]a=4[/tex]
[tex]44\div4=11[/tex]
[tex]m=11[/tex]
Which means the mean of this given data set is "11."
Hope this helps.
Answer:
Mean = 11Step-by-step explanation:
The mean is the average number of the data.
Given data: 17, 9, 11, and 7To calculate the mean of the data, divide the sum of the data by the total numbers in the data. The quotient will be the average of the data.
[tex]\dfrac{17 + 9 + 11 + 7}{\text{Total digits in the data}}[/tex]
We can see 4 digits included in the data. Thus, the sum of the data will be divided by 4.
[tex]\dfrac{17 + 9 + 11 + 7}{4}[/tex]
Now, let's solve for the mean.
[tex]\dfrac{17 + 20 + 7}{4}[/tex]
[tex]\dfrac{44}{4} = 11[/tex]
Thus, 11 is the mean.
I need help please!!!!!
Answer:
after it is folded into 4 the new area is 112
Step-by-step explanation:
450 divided by 4 is 112
Write a simplified algebraic expression for the area of a rectangle with length 4x and width x - 2.
b) If x = 3, find the area of the rectangle.
can someone please help me it's due very soon ( plz show work)
Answer:
−8w − 6z − 24
-20w + 3(4w -8) - 6z Distributive Property (multiply 4w and -8 by 3)
-20w + 12w - 24 - 6z Combine Like terms (add 12w to -20w)
-8w - 6z - 24
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
PLEASE HELP!!! (algebra 2)
The difference of two number is 2 and product of them is 224. Find the Numbers if both of them are negative.
Answer:
The numbers are 14 and 16.
Step-by-step explanation:
Equation:
x (x - 2) = 224
Solution:
x (x - 2) = 224
x² - 2x = 224
x² - 2x - 224 = 0
Now, we ended up with a trinomial. To find the two numbers, we need to factor it.
Factoring Trinomials
Trinomial is a polynomial with three terms which are connected by plus or minus notations. It is expressed as a² + b + c.
To factor, we need to follow these steps:
1. Find the factors of "ac" that when combined it will result to "b".
2. When "c" is positive, the sign in each binomial is the same as "b".
3. When "c" is negative, the sign in each binomial is different.
4. Write as the product of two binomials ( )( ).
Let us continue.
x² - 2x - 224
(x - 16)(x + 14)
Therefore, x = 16 and x = -14.
Since we are looking for a positive value, we are going to use the positive value of x and that is 16.
Larger number is 16.
x - 2 = 16 - 2 = 14
Smaller number is 14.
Final Answer:
The two numbers are 14 and 16.
Checking:
x (x - 2) = 224
16 (16 - 2) = 224
16 (14) = 224
224 = 224 ✔
50 points!
Select all that apply. A rectangular prism has a volume of 96 cubic inches. Select the possible measurements for the base area and height of the prism.
This should be simple, just simply multiply the area of base with height.
A - 24 * 4 = 96 ft³
B - 9.5 * 5 = 47.5 ft³
C - 16 * 6 = 96 ft³
D - 48 * 2 = 96 ft³
E - 9 * 5.3 = 47.7 ft³
Therefore, only option A, C, D is correct.
Write the phrase as an algebraic expression.
The quotient of eight and a number h is written as
Answer:
eight divided h 8 '/. h
Step-by-step explanation:
[tex]\frac{8}{h}[/tex]
An algebraic expression is one that is constructed using integer constants, variables, and algebraic operations.
A quotient is a quantity that is obtained by dividing two numbers.
Phrase is "The quotient of eight and a number [tex]h[/tex]"
Quotient of eight and [tex]h[/tex] means [tex]8 \div h[/tex] that is equivalent to [tex]\frac{8}{h}[/tex]
The phrase can be written as [tex]\frac{8}{h}[/tex]
For more information:
https://brainly.com/question/11227332?referrer=searchResults
Every day, you take the elevator from the basement parking lot that is at level -3. The elevator takes two seconds per level and you find that it takes 46 seconds to reach your floor. Which floor do you live on?
Answer: Well 2 x 23 = 46, So the 23rd floor
Step-by-step explanation: :)
what is the answer for 6y-2y?
Answer:
4y
Step-by-step explanation:
For △ABC find the length of AB if AC=7, BC=5, and m∠C=20. Round your answer to the nearest hundredths. (Image not drawn to scale)
Answer: 2.87
Step-by-step explanation:
Solve this equation. Enter your answer in the box. –4(x – 26) = –200\
Answer:
x is 76
Step-by-step explanation:
im pretty sure, i just sloved it
Answer:
76.
Step-by-step explanation:
Simplifying
-4(x + -26) = -200
Reorder the terms:
-4(-26 + x) = -200
(-26 * -4 + x * -4) = -200
(104 + -4x) = -200
Solving
104 + -4x = -200
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-104' to each side of the equation.
104 + -104 + -4x = -200 + -104
Combine like terms: 104 + -104 = 0
0 + -4x = -200 + -104
-4x = -200 + -104
Combine like terms: -200 + -104 = -304
-4x = -304
Divide each side by '-4'.
x = 76
Simplifying
x = 76
Please answer this by midnight I need it for Algebra 3 and I don't want to fail please
The length of the arc is about 1.758 cm.
First, we need to determine the size of the angle. If we have pi/5 radians, we can convert that to 36 degrees, because pi radians is 180 degrees. Now, we know the measure of the arc is 36 degrees. 36 degrees out of 360 degrees is 10%.
Our arc is 10% of the circumference of the circle.
The circumference is 2(pi)r or 2(3.14)2.8 = 17.58 cm
Now, multiply 17.58 by 0.1 to get a total of 1.758 cm.
Analyzing data, making predictions about consumers, and calculating risks are all jobs of an __________
Answer:
An accountant
Step-by-step explanation:
Hope this helps, I don't have an explanation.
Please help I need the answer ASAP please i will give brainliest
Answer:
the answer is the first one
Answer:
A
Step-by-step explanation:
Calculate the pay of the following day of a wage of $ 11/hour.
Answer:
93.5 dollars during Monday.
Step-by-step explanation:
Morning: 12:15 - 8 = 4hours 15 minutes
Afternoon: 17:15 - 13 = 4 hours 15 minutes
Total Time working = 4 hours 15 minutes + 4 hours 15 minutes
Total time working = 8 hours 30 minutes
30 minutes = 1/2 hour = 0.5 hours
Total time = 8.5 hours
Wage = 8.5 * 11 = 93.5 dollars for Monday.
PLEASE HELP FOR BRAINLEST!!!!
Answer:
repel and attract is correct answer
Answer:
repel; attract
Step-by-step explanation:
think of magnets, N and N repel and N and S attract
Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answer:
c to a a to f
Step-by-step explanation:
A clown has 10 red balloons and 14 blue balloons. You pick one balloon without looking. What is the chance it is red?
Answer:
Percent: Approx 41.6%
Fraction: 10/24 = 5/12
10 in 24
Step-by-step explanation:
There are 10 red balloons out of a total of 24. The rest is self-explanatory.
Hope this helps! Have a great day!