Answer:
= 3*(4x^3+1)^2
= degree 6
Step-by-step explanation:
The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be used to model
their distance, in miles, from home after t hours of driving.
part a:find D(12) and interpret the meaning in the context of the problem. part b: if D(t) =2490, find the value of t and interpret its meaning in the context of the problem
Answer:
See below.
Step-by-step explanation:
D(t) = 3260 - 55t
The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.
part a:
D(12) = 3260 55(12)
D(12) = 3260 - 660
D(12) = 2600
Interpretation: After 12 hours of driving home, they are 2600 miles from home.
part b:
D(t) = 2490
3260 - 55t = 2490
-55t = -770
t = 14
Interpretation: When they are 2490 miles from home, they have driven for 14 hours.
Which of the following points is a solution to the system of inequalities below?
y<2x+1
y≥−3x−4
The difference between 32.6 and a number is 10.2. Which equation can be used to solve this problem?
32.6 minus y = 10.2
y minus 36.2 = 10.2
10.2 minus y = 32.6
y + 32.6 = 10.2
Answer:
The answer is 10.2-y=32.6 D. y+32.6=10.2
Step-by-step explanation:
Given : The difference between 32.6 and a number is 10.2
Let the number be : y
⇒ 32.6 - y = 10.2
⇒ 32.6 minus y = 10.2
A business had a profit of $42,000 in 1994.
Then its profit decreased by 8% cach ycar
for 6 years. How much did the business
earn in 2000?
The area of the rectangular portion of the window can be represented by the function A(x) = 2x^2 + 10x. The area of the trapezoidal portion can be represented by the function A(t) = 6((x + 15) + (2x + 10)/2). Formulate a function A(w) that can be used to represent the area of the entire window.
A(w) = 9x + 75
A(w) = x(2x + 10)
A(w) = 21x^2 + 75x
A(w) = 2x^2 + 19x + 75
The function A(w) that can be used to represent the area of the entire window is 2x^2+17x+95.
We have given that,
The area of the rectangular portion of the window can be represented by the function A(x) = 2x^2 + 10x.
The area of the trapezoidal portion can be represented by the function A(t) = 6((x + 15) + (2x + 10)/2).
A(t)=6x+90+x+5
A(t)=7x+95
What is the area of the formula?[tex]Area\ of \ the\ rectangle=Length \times width[/tex]
Therefore the function A(w) that can be used to represent the area of the entire window is
A(W)=A(t)+A(x)
A(W)=7x+95+2x^2 + 10x
A(W)=2x^2+17x+95
The function A(w) that can be used to represent the area of the entire window is 2x^2+17x+95.
To learn more about the rectangle visit:
https://brainly.com/question/25292087
#SPJ2
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
-8 X 3 = -24 + 9 = -15 or you could do -24+9=-15
Step-by-step explanation:
help plz will mark as brainliest
Answer:
5
Step-by-step explanation:
since x + 3 is a factor of the polynomial that means -3 is a value of x
substitute x = -3
next see attachment
A rectangle measures 8/3 inches by 9/4 inches. What is its area?
Answer:
To find the area, you have to multiply the length times the width
Step-by-step explanation:
Answer:
The area of this rectangle is 6 square units.
Step-by-step explanation:
Multiply the width (8/3 inches) by the height (9/4 inches) to get the rectangle area:
8 9
----- * -----
3 4
8 * 9
This results in ---------- which itself reduces to 6.
4 * 3
The area of this rectangle is 6.
Cheryl drew the three shapes shown.
Which term names all three shapes?
A. Rhombus
B. Rectangle
C. Quadrilateral
D. Parallelogram
If a and b are two distinct rational numbers, then which of the following statements is true?
a+b is always a rational number while a−b is not always a rational number.
Both a+b and a−b are not always rational numbers.
Both a+b and a−b are always rational numbers.
a+b is not always a rational number while a−b is always a rational number.
pls add explanation if possible
Answer:
Both are rational.
Step-by-step explanation:
As a rational number can be written in the form p/q where p,q are co-prime integers, let a=p1/q1 b=p2/q2.
And we know the product of two integers is an integer
p1q2, p2q1 are integers. And the sum or difference of two integers is rational, rather being specific, it is an integer.
Thus a+b and a-b is rational.
Can someone help me? It's urgent and thank you!
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
32m^2
Step-by-step explanation:
32m^2
8*4 = 32
Have a nice day! :-)
m to the power of 5 ×m to the power of 6 × n to the power of 11 over m to the power of 3 × n to the power of 5 × n
Step-by-step explanation:
[tex] \frac{( {m}^{5} \times {m}^{6} \times {n}^{11})}{ {m}^{3} \times {n}^{5} \times n} \\ = \frac{ {m}^{11} \times {n}^{11} }{ {m}^{3} \times {n}^{6} } \\ = {m}^{8} \times {n}^{5} \\ = {m}^{8} {n}^{5} [/tex]
Answer:
[tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]
Step-by-step explanation:
m to the power of 5 = m⁵
m to the power of 6 = m ⁶
n to the power of 3 = n³
n to the power of 11 = n¹¹
[tex]m^5 \times m^6 \times n^{11}[/tex] over [tex]m^3 \times n^5 \times n^1[/tex] = [tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]
Simplified form:
[tex]m^{(5+6-3)} \times n^{(11 - 5- 1)} = m^8 \times n^{6}[/tex]
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
13/20
Step-by-step explanation:
To add fractions without the common denominator, you have to make them equal so
1/4 x 5 = 5/20
2/5 x 4 = 8/20
5/20 + 8/20 = 13/20
Answer:
13/20 miles.
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{2}{5}[/tex]
= [tex]\frac{5}{20} +\frac{8}{20}[/tex] (find the common denominator and convert the fractions)
= [tex]\frac{13}{20}[/tex]
13/20 is the most simplified it will go, so you will have walked 13/20 miles.
Hope this helps!
Which input value produces the same output value for the two functions on the graph?
x = −1
x = 0
x = 3
x = 4
2.) What is the
probability that this
spinner will not
stop at green?
A.) 5/6
B.) 1/6
C.) 12
D.) 1/3
Answer:
probability would be 5/6.
Data is collected on the number of ice cream cones sold in a shop on a certain day and the number of people wearing sunglasses visiting the shop that same day. What type of relationship is most likely to exist between these two variables?
1. positive correlation and causal relationship
2. negative correlation and causal relationship
3. positive correlation but not causal relationship
4. negative correlation but not causal relationship
Answer:
3. positive correlation but not causal relationship
Step-by-step explanation:
A positive correlation is when one factor increases, the other factor increases as well.
A negative correlation is when one factor increases, the other factor decreases.
A causal relationship is when one factor causes the other factor change in a certain way (i.e. increase or decrease).
More people buy ice cream as the day becomes hotter and sunnier. This also applies to people choosing to wear sunglasses. Therefore, there is a positive correlation between the two (because both increase). However, this is not a causal relationship because the cause of both is the hotter and sunnier day.
I hope this helps! If you have any question, feel free to as. :)
Use the table to answer the question.
The school cafeteria surveys random students about their favorite food and records the data in the table. If there are 530 students in the school, approximately how many would be expected to choose chicken nuggets?
a. 16 students
b. 40 students
c. 80 students
d. 106 students
Answer:
in the survey, 16 out of 80 students who where asked favored chicken nuggets.
so we need to calculate like this:
530 * 16/80
=530 * 1/5
=530/5
=106
hope this helps your understanding, wish you good grades
Which of the equations below represents a line perpendicular to the x-axis?
A. X=3
B. X=3y
C. X=y
D. X=-3y
Answer: A. x = 3
This is a vertical line that goes through 3 on the x axis. Two points on this line are (3,0) and (3,1). Any vertical line is perpendicular to the x axis.
(5x-23)
(7x-1)*
Help me please
Answer:
(5x-23)° + (7x-1)° = 180°
5x-23 + 7x-1 = 180
12x - 24 = 180
12x = 204
x = 17
.°. (5x-23)° = 62°
& (7x-1)° = 118°
Solve the system of equations below.
X-2y=3
2x - 3y=9
Answer:
(9,3)
Step-by-step explanation:
Hope this helps
There are 8 girls and 12 boys in Miss Reading's homeroom. Five of the girls play sports and 3 do not play sports. Eight of the boys play sports and 4 do not play sports. If a student is selected at random, what is the probability that the student is a boy or plays sports? Express your answer
as a fraction.
The answer is 17/20.. sorry for the first answer
Hey im confused on how to solve this. Can Anyone help me?
Answer:
The minimum unit cost is $9374.
Step-by-step explanation:
The unit cost C for making x engines is given by the quadratic function:
[tex]C(x)=0.3x^2-162x+31244[/tex]
We want to determine the minimum unit cost.
Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = 0.3, b = -162, and c = 31244.
Find the x-coordinate of the vertex:
[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]
In other words, in order to achieve the minimum cost, only 270 engines must be made.
Then to find the minimum cost, substitute the value back into the function. So:
[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]
The minimum unit cost is $9374.
Help what’s the answer ?
Answer:
c
Step-by-step explanation:
Please help i'm struggling!
Answer:
37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
1st term -2 + 3= 2nd term 1 + 3= 3rd term 4....... and so on to 14th term, which is 37
The picture is above I’ll mark as brainliest.
Answer:
A. 42 [tex]u^{2}[/tex]
Step-by-step explanation:
The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.
Finding the area:
length × width
= 7 × 6
= 42 [tex]u^{2}[/tex]
Please help please explain it step by step please
Answer:
1. 10 root 3
2.
A=30
B = 60
Step-by-step explanation:
In picture
IM NOT SMART SO PLZ HELP :) BRAINLIEST WILL BE MARKED
Step-by-step explanation:
please check the attachment
There are 2 vending
machines in an office
building.
The drink machine is
restocked by Derek every
24 days.
The snack machine is
restocked by Emily every
16 days.
If Derek and Emily met
today, in how many days
will they meet again?
Answer:
32 days
Step-by-step explanation:
Derek
24 then 48 then 72
Emily
16 then 32 then 48
16 + 16 =32
Answer:
48 days
Step-by-step explanation:
answer is in photo above
find the lowest common multiple of 24 and 16
Ryan deposited $6,700 into an account at the Town Bank, earning 3.4% interest compounded annually. He made no deposits or withdrawals. Write and solve the equation to find the amount of money in his account after 4 years. Round to the nearest cent.
Answer: The amount of money in his account after 4 years = $7,658.73
Step-by-step explanation:
If interest is compounded annually, then formula to compute amount :
[tex]A=P(1+r)^n[/tex], where P+ principal value, r= rate of interest, n= time ( in years).
As per given,
P= $6700 , r = 3.4% =0.034, n =4
[tex]A=6700(1+0.034)^4\\\\=6700(1.034)^4\\\\=6700(1.14309455234)\approx7658.73[/tex]
Hence, the amount of money in his account after 4 years = $7,658.73
