Solving for the elapsed time
distance traveled = (speed of first train + speed of second train) * elapsed time
280 miles = (95 mph + 105 mph) * elapsed time
280 miles = 200 mph * elapsed time
elapsed time = 280 miles / 200 mph
elapsed time = 1.4 hours
elapsed time = 1 hour and 24 minutes
It will take 1 hour and 24 minutes for the two trains to be 280 miles apart.
What is the surface area of the rectangular prism?
16 cm 2
48 cm 2
96 cm 2
80 cm 2
Answer:
Surface area = 80 cm²
Step-by-step explanation:
Surface Area of rectangular prism = 2(LW + LH + WH)
L = 4 cm
W = 4 cm
H = 3 cm
Plug in the values
Surface Area = 2(4*4 + 4*3 + 4*3) = 2(16 + 12 + 12)
Surface Area = 2(40) = 80 cm²
What are the three ordered pairs that should be in the table of values y=2x-3
Answer:
(-2, -7), (0, -3), (2, 1)
Step-by-step explanation:
Equation is given as y = 2x - 3.
To complete the table, plug in each value of x into y = 2x - 3 to get their corresponding y-value.
✔️When x = -2:
y = 2(-2) - 3
y = -4 - 3
y = -7
✔️When x = 0:
y = 2(0) - 3
y = -3
✔️When x = 2:
y = 2(2) - 3
y = 4 - 3
y = 1
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to two decimal places.) (1.999)3
Consider the function f(x) = x ³. Since 2³ = 8 is a perfect cube that is pretty close to x = 1.999, take the linear approximation to f(x) at x = 2. It is
f(x) ≈ L(x) = f (2) + f ' (2) (x - 2)
Compute the derivative:
f(x) = x ³ → f ' (x) = 3x ² → f ' (2) = 12
Then
L(x) = 8 + 12 (x - 2) = 12x - 16
Now approximate 1.999³ :
f (1.999) ≈ L (1.999) = 12•1.999 - 16 = 7.988
(Compare this to the actual value, 7.98801.)
8/9+8/9
enter answer as a fraction
i need help <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3\
Answer:
the cordnate for X is 2 the cordnate for Y is -2
Answer: the coordinate for X is 2 the coordinate for Y is -2.
Step-by-step explanation:
A recipe for potato casserole calls for 7/4 cups of cheese. Write the fractions as a mixed number.
point b is 8 units away for the origin
Answer:
ok
Step-by-step explanation:
2. Three pairs of jeans and six shirts cost $104.25. The cost of 4 pairs of jeans and 5 shirts
is $112.15. Find the cost of each pair of jeans and each shirt.
Answer:jeans = x = 16.85
shirts = y = 8.95
Step-by-step explanation:
That’s the answer bud
The sixth grade class is going to the local art musem's dinoaurexhibit. There was 52 students in the class. The total cost of the tickets for all the students is $364. What is the cost of one student ticket?
An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base of diameter
5.7 inches. In the new design, the chamber is scaled by a factor of 1.5.
The volume of the original chamber is
V cubic inches. This i
v cubic inches less than the volume of the new
chamber.
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
Grandma Bunga is 52 years older than Melati. She is 5 times older than Melati. How old
is Grandma Bunga?
Answer:
65
Step-by-step explanation:
x=52+y
x=5y
y=x/5
x=52+(x/5)
x-(x/5)=52
(5x-x)/5=52
4x=52×5
4x=260
x=260/4
x=65
Bunga is 65 yrs old
Metali is 13 yrs old
In a complete sentence, describe the relevant angle relationships in the following diagram. Find the measures of 푥푥 and 푦푦.
Answer:
Um, what is 푦푦?
Step-by-step explanation:
Answer:
Yes, but actually yes.
Step-by-step explanation:
[tex]4x + 2x = 20 \\ x + 3x = 50[/tex]
simotenus equation
Answer:
I think there is an error in the question, I assume it reads:
4x+2y=20
x+3y=50
If not, please make appropriate corrections to the question.
Answer: x=-4, y=18
Step-by-step explanation:
4x+2y=20
Simplify, divide by two,
2x+y=10.....................(1)
x+3y=50....................(2)
Multiply (2) by 2
2x+6y=100 ....................(2a)
Subtract (1) from (2a)
2x+6y - (2x+y) = 100 - 10
5y = 90
y=18..............................(3)
Substitute (3) into (1)
2x+(18)=10
2x = 10-18 =-8
x=-4 ............................(4)
Substitute (3) and (4) into (1) for verification
2x+y = 2(-4)+18 = 18-10 = 10 checks.
Substitute (3) and (4) into (2) for verification
x+3y=-4+3(18) = -4+54 = 50 checks.
Have a nice day!
Find the area of the figure. 8.5 cm 9.5 cm 24 cm The area of the figure is_______cm2
Answer:
432 is the blank
Step-by-step explanation:
I just did this problem
is this a function ???????
3/5 x ?/? = 3/5 plz im on a test!
Answer:
Dont say its a test youll get reported and banned by brainly
Step-by-step explanation: also the answer is: 3/5 x 3/5 = 925 = 0.36
Answer: 1/1
Step-by-step explanation:
1/1 because it = 1 so that means 3/5 x 1/1 is 3/5
is x(4x^2+8x+12) completely factored? If not how else can it be factored ?
A. Yes the polynomial is completely factored
B. No 4 can be factored from each term of the trinomial and the resulting trinomial can be factored into two binomials.
C.no 4 can be factored from each term of the trinomial
D. No the trinomial 4x^2+8x+12 can be factored into two binomials
No 4 can be factored from each term of the trinomial. Therefore, option C is the correct answer.
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given polynomial is x(4x²+8x+12).
Here, in the trinomial 4x²+8x+12, 4 is common factor in each term.
So, group and factor out the greatest common factor (GCF), then combine.
That is, 4(x²+2x+3)
Now, x(4x²+8x+12)= 4x(x²+2x+3)
Therefore, option C is the correct answer.
To learn more about the factorization visit:
https://brainly.com/question/26923098
#SPJ2
which rule descibes the pattern?
Answer:
-1/2
Step-by-step explanation:
I think not 100% sure tho
Answer:
“multiply by 2 and then subtract 1.
Step-by-step explanation:
if y=10 when x=5 what does y equals when x=0.2
Answer:
.4
Step-by-step explanation:
y=2x
y=2(.2)
y=.4
there is your answer
Can someone tell me the answer pls
Answer: The second and the last answer are correct
Step-by-step explanation:
Find the average rate of change of f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much as possible.
f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much.
We need to find [f(b) - f(a)]/(b - a).
Let a = 2
Let b = 5
f(2) = 2(2)^2 - 8(2)
f(2) = 8 - 16
f(2) = -8
We now find f(5).
f(5) = 2(5)^2 - 8(5)
f(5) = 50 - 40
f(5) = 40
[f(5) - f(2)]/(5 - 2)
(40 - (-8))/(3)
(40 + 8)/3
48/3 = 16
The average rate of change is 16.
Which algebraic expression is a polynomial with a degree of 5?
3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5
What is the correct expanded form and value of 43?
O 4+4+4= 12
O 4.4.4=64
O 3+3+3+3= 12
O 3.3.3.3= 81
Your answer would be 4.4.4=64.
Answer:
B. 4・4・4= 46 I hope it helps.
If DB = 18cm and AC = 24cm, Use the properties of rhombus to find the length of one side of the rhombus please helppp!!!!
Answer:
15 cm
Step-by-step explanation:
You need to remember 2 theorems about a rhombus.
1. The diagonals of a rhombus bisect each other
2. The diagonals of a rhombus are perpendicular to each other
In other words, the diagonals of a rhombus are perpendicular bisectors.
BE = 9 and AE = 12
ΔAEB is a right triangle. So, the Pythagorean theorem says
[tex]9^{2} + 12^{2} = AB^{2}[/tex]
[tex]AB^{2}[/tex] = 81 + 144
= 225
AB = [tex]\sqrt{225} = 15[/tex] cm
[tex]4x - {x}^{3} [/tex]
Samir just finished renovating a house during the renovation he added a steel beam as a support the steel beam was 15 feet long and cost $135 complete the statement by selecting the correct dollar amount from the provided list
the cost of the beam was _______per yard
Answer:
$27
Step-by-step explanation:
According to your question. The complete cost was $135 for a fifteen feet long beam. If you are looking for the price per yard, a yard has three feet, therefore in fifteen feet, there are five yards.
15 divided into 3 equals 5
$135 divided into five equals $27
I hope this helps.
Simplify 3^2 ⋅ 3^5
^ = are exponents
A 3^7
b
3^10
c
9^7
d
9^10
Answer:
B
Step-by-step explanation:
when simplifying base stays the same we only deal with exponent I think I need help too
10 x 3 thousands how many thousands are in the answer
Answer:
30 thousands, or 30,000 units.
Step-by-step explanation:
Since the question refers to 10 x 3 thousands, to determine how many thousands are in the answer, the following calculation must be performed:
10 x 3 = 30
So there are 30 thousand in the answer, which is equal to 30,000.
giving brainliest !! *easy*
um here’s the graph
1+1=???????????????????
Answer:
I.d.k I think 1 :)
Step-by-step explanation:
have a great day