Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene 's car had 5.9 gallons in the14 -gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.60 per gallon. How much did Irene spend on gas
Answer:
I believe it is $21.24 im sure
A hiker stands on a small hill and tosses a stone. The stone then follows a path with height h above the ground at time t. The function
h(t) = - 16t2 + 16x + 32 models the stone's path. How long does it take the stone to reach its maximum height?
Answer:
At time t=0.5, the stone reaches a maximum height of h= 35.
Step-by-step explanation:
A quadratic function or function of the second degree is a polynomial function defined by:
f(x)=a*x² + b*x +c
The maximums and minimums of a function are the largest (maximum) or smallest (minimum) values of a function.
The vertex of the function is a point that is part of the parabola or quadratic function that coincides with the maximum or minimum. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").
h represents the value of its abscissa (value of x).
k represents the value of its ordinate (value of f (x)).
The value of h can be calculated with the formula [tex]h=-\frac{b}{2*a}[/tex]
The value of k must be obtained by substituting the value of h in the function f(x)=a*x² + b*x +c
In this case: a=-16, b=16 and c=32. As a <0 the vertex is at the top , being a maximum. So:
[tex]h=-\frac{16}{2*(-16)}=0.5[/tex]
Substituting the value of h in the function f(x)=-16*x² + 16*x +32 you get:
f(0.5)=-16*0.5² + 16*0.5 +32
f(0.5)= 35
At time t=0.5, the stone reaches a maximum height of h= 35.
Option 1: $10.00 every day
Option 2: $3.00 on the first day, $3.50 on the second, $4.00 on the third, and so on, increasing by $0.50 per day.
Option 3: $0.01 on the first day, $0.02 on the second, $0.04 on the third, and so on, doubling each day.
Option 1: ($10.00 per day) :
#1 (Is this option Arithmetic, Geometric, or neither?)
#2 (Write a formula to find how much you would make on any day.)
Option 2 : (increases by $0.50 per day, day 1: $3.00)
#1 : Is this option Arithmetic, Geometric, or neither?
#2: Write a formula to find how much you would make on any day.
Option 3: (doubles each day, day 1: $0.01)
#1 : Is this option Arithmetic, Geometric, or neither?
#2: Write a formula to find how much you would make on any day.
Answer:
Option 1:
Arithmetic
f(x)=10+10xd
Option 2:
Neither
f(x)=3.00+0.50d
Option 3:
Geometric
f(x)=0.01(2)^x
Step-by-step explanation:
An arithmetic equation is one that increases by the same amount every day, a constant, straight rate. Geometric increases by the same amount everyday, doubling every day is an example of this, its linear, and is a constant rate of change.
f(x)=10+10xd means the initial 10 plus 10 every day, the d= day, so if you want to calculate a certain day, such as day 10 you replace d with the day number
f(x)=10+10x10= 110
f(x)=3.00+0.50d means initial 3.00 dollars adding 0.50 each day that passes, again, replace the d with the day number you are on.
f(x)=3.00+0.50 x 10= 8
f(x)=0.01(2)^x
the 0.01 is our starting number, the (2) represents the doubling every day, the x represents the day, and is squared.
f(x)=0.01(2)^10 = 10.24
I need help with this question...
Answer:15
Step-by-step explanation:
Eric made a scale drawing of the middle school. The scale he used was 1inch=5feet. If the gym is 30 inches by 20 inches in the drawing, what is the acual length and width of the gym.
Answer: 150 feet : 100 feet
Step-by-step explanation:
From the question, we are informed that the scale used by Eric was 1inch=5feet.
If the gym is 30 inches by 20 inches in the drawing, the acual length and width of the gym would be:
Length = 30 inches = 30 × 5 feet = 150 feet
Width = 20 inches = 20 × 5 feet = 100 feet
Therefore, the acual length and width of the gym would be 150 feet by 100 feet
Answer:
Answer: 150 feet : 100 feet
Step-by-step explanation:
From the question, we are informed that the scale used by Eric was 1inch=5feet.
If the gym is 30 inches by 20 inches in the drawing, the actual length and width of the gym would be:
Length = 30 inches = 30 × 5 feet = 150 feet
Width = 20 inches = 20 × 5 feet = 100 feet
7.
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
Which of the following tables represents a function?
Answer:
The third table
Step-by-step explanation:
It's the third table because each input does not repeat, so it means all of the inputs are unique
Repeating inputs (x) make it not a function
As their is no mention of test assuming it's not a test question
Solution
Now
As per definition of function
Every domain has an unique rangef(x)=yThing we have to see here is x values must not repeated more than once
In table 3
It follows the definationTable 3 is a function
Help me pleaseeeeeeeee
Leticia can run 2 miles in 11 minutes. How long would it take her to run 8
miles at the same pace?
1:22 min
2:44 min
3:5.5 min
4:30 min
Answer:
44 minutes
Step-by-step explanation:
8/2 is 4, multiply 11 by 4, 44 is your answer
Answer:
44 Minutes
Step-by-step explanation:
if you multiply the amount of time, 11 minutes, by 4, because 8 / 2 is 4, you'll get 44 minutes
The height of a house is 39.2 ft, a doll house replica is 2.8 ft. What is the scale
factor?
Multiply 2x(x^2-x+3)
Answer:
2x^3-2x^2+6x
Step-by-step explanation:
Hope this helps!
Have a great day!
Answer:
2x^3-2x^2+3
don't know if it's correct
Find a positive solution for this equation..
Answer:
x=6 or x=−6
Step-by-step explanation:
Which statement shows the correct value for the exponential expression 6^3?
A. 6x6x6x6 = 1296
B. 6x6x6 = 216
C. 3x3x3x3x3x3 = 729
D. 6x3 = 18
Hey guys ( or gals ) I have no idea what to do please help me.
Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation:
I need help with this problem
Answer:
6/5
Step-by-step explanation:
Hello! I need help PLZ!! If anyone knows I would appreciate it! Thank you so much! :)
(4 screenshots included)
Answer:
its either b or d
Step-by-step explanation:
b or d is the answer
the product (2x^4 y) (3x^5 y^8) is equivalent to:
Answer:
please mark me brainliest and follow me my friend.
Foster’s answer to the question he wrote for Ranger was 7x+(-3), while Ranger’s answer was 7x-3.They both checked their work by letting x=5, and they both claim to be correct.Are they both correct?Explain.
Answer: They are both correct :)
Step-by-step explanation:
They are both correct because 7x + (-3) is the same thing as 7x - 3 if you simplify it.
When you simplify it, you change the expression to:
7x + 1 (-3)
So now you have to distribute the 1 which gives you:
7x - 3
..since positive x negative is negative.
Hope that helped!
What’s the solution for x-0= 0
Pls answer these for me!!! I need it assap because I have to go to dance and when I come back it’s like 10!!! And that’s when I sleep:( and when I eat it’s 12
Answer:
area models
Step-by-step explanation:
an area modle is something to model area
Answer:
1. round
2. associative property of multiplication
3. commutative property of multiplication
4. mixed number
Please HELP. She finished these tant in no more than 30
Answer:
what
Step-by-step explanation:
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,260 ft Determine the flag's width and length if the length is 290 ft greater than the width.
Answer:
length= 710 width= 420
Step-by-step explanation:
As we consider a rectangle we can replace "length" with l and "width" with w so that the perimeter will be:
2l+2w= 2260
With the length as:
l= w+290
The length, substituted into the perimeter is:
2(w+290)+2w=2260
Distribute:
4w+580=2260
Subtract:
4w=1680
Divide:
w=420
To find the length, take the width and add 290:
420+290=710
l=710
If there are 1200 calories
in one pound of ground
beef, how many calorles-
are in 3 oz of ground beef?
show work!!
Answer:
225 calories
Step-by-step explanation:
1 LB= 16 OZ
1200/16=75 CALORIES
75X3=225 CALORIES
last one! Please help me !!
Answer:
1.) A 2.) B
Step-by-step explanation:
Formula: a^2+b^2=c^2
4^2+3^2=5^2
Proof:
4^2=16
3^2=9
9+16=25
5^2=25
Andrew cut a rectangular piece of wood along a straight line, as shown below. K110° Andrew calculated that x = 70°. Which of the following statements justifies Andrew's calculations? A Vertical angles are congruent. B. Altemate exterior angles are congruent. C. Consecutive interior angles are supplementary. D. Adjacent angles formed by perpendicular lines are complementary, Ο Α B C D PLEASEEEEEE HELP ME FAST !!
Answer:
C. Consecutive interior angles are supplementaryStep-by-step explanation:
Andrew calculated it correctly
Angles 110 and x are supplementary as consecutive interior angles
110 + x = 180x = 180 - 110x = 70Correct choice is C
Answer:
C
Step-by-step explanation:
Which of the following is equivalent to 5s?(this is a multiple choice)
5+s
S+s+s+s+s
(10/2)+s
3s+2s
S×(8-3)
Answer:
Amem
Step-by-step explanation:
- Find the value of x for which ABCD must be a parallelogram.
9514 1404 393
Answer:
x= 5
Step-by-step explanation:
Sides BC and AD will be parallel when the two marked angles have the same measure:
5x -3 = 14x -48
45 = 9x . . . . . . . . . add 48-5x
5 = x . . . . . . divide by 9
What value is a discontinuity of x^2+2x+3/x^2-x-12
Answer:x=0
Step-by-step explanation: maybe.....
Solve for the variable.
6x-5=12
Answer:
6x-5=12 +5
6x=17 :6
x=2.8333333333
Step-by-step explanation:
prove me wrong
The local grocery store will purchase food items and mark them up 115%. If the wholesale price of an item was $3.50, what price will the customer pay for the item?
Answer
10.25
Step-by-step explanation:
pls mark me as brainliest its required :)