f(x)=-4x+2 what is the answer
Find the value of x.
**
Please help!!
kelsey goes cliff diving into the ocean. Her height as a function of time can be modeled by the function h(t)=-16t^2+480, where t is the time in seconds and h is the height in feet. How long does it take for Kelsey to reach the water?
Answer:
to differential calculus, because I don't know how to answer this question without
using it.
We're told that Jason's height above the water is H(t) = -16t² + 16t + 480 .
We can observe many things from this equation:
-- Up is the positive direction; down is the negative direction.
-- The acceleration of gravity is 32 ft/sec² .
-- Jason jumps upward from the cliff, at 16 ft/sec .
-- The cliff is 480-ft above the water.
(This tells us why the question is only concerned with his maximum height,
and then it ends ... 480-ft is one serious cliff, and what happens after the
peak of his arc is too gruesome to contemplate.)
In any case, his vertical velocity is the first derivative, with respect to time,
of his height above the water.
V = -32 t + 16
At the peak of his arc, where gravity takes over, his velocity changes from
upward to downward, and it's momentarily zero.
0 = -32t + 16
Add 32t to each side: 32t = 16
Divide each side by 32: t = 1/2 second
His height at that instant is H(0.5) = -16(0.5)² + 16(0.5) + 480 =
4-ft above the cliff, 484-ft above the water,
and then he begins falling from that altitude.
The duration of his dive is 484 = 16 t²
t = √(484/16) = 5.5 seconds
and he hits the water at V = a t = (32) x (5.5) = 176 ft/sec = exactly 120 mph
Step-by-step explanation:
Valley Mills Sports Center has a total of 318 footballs and basketballs. There are 76 more footballs for sale than basketballs.
How many footballs are for sale?
A. 121
B. 176
C. 197
D. 242
The number of footballs that are for sales when its known that there are total 318 footballs and basketballs and there are 76 more footballs for sale than basketballs, is given by: Option C: 197
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Given that:
Total number of basketballs and footballs in the considered sports center = 318 (assuming they're for sales, as rest of the question is talking about footballs and basketballs being for sales)Number of footballs = 76 + Number of basketballsAssume that:
Number of footballs = xNumber of basketballs = yThen we get two equations, as:
[tex]x+y = 318\\x = 76 + y[/tex]
Substituting the variable x in first equation by the expression obtained in second equation for x, we get:
[tex]x + y = 318\\(76 + y) + y = 318\\76 + 2y = 318\\\text{Subtracting 76 from both the sides}\\\\2y = 318 - 76 = 242\\\\\\2y = 242\\\\\text{Dividing both the sides by 2}\\\\y = \dfrac{242}{2} = 121[/tex]
Thus, we got: Number of basketballs = y = 121
Using this result and the first equation, we get:
[tex]x + 121 = 318\\x = 318 - 121 = 197[/tex] = number of footballs.
Thus, the number of footballs that are for sales when its known that there are total 318 footballs and basketballs and there are 76 more footballs for sale than basketballs, is given by: Option C: 197
Learn more about forming equations here:
https://brainly.com/question/11938672
Learn more about system of linear equations here:
https://brainly.com/question/13722693
#SPJ2
What is the value of the expression 25 ÷ 5 + (6 x 2) − 4?
Question 1 options:
7
9
12
13
Answer:
13
Step-by-step explanation:
25 / 5 + 12 - 4 = 5 + 12 - 4 = 17 - 4 = 13
A triangle has side lengths of (8w-5)(8w−5) centimeters, (9w-6)(9w−6) centimeters, and (3x-7)(3x−7) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
a. 6w-4x
b. −11−4x+17w
c. 3x+17w−18
d. 3w+3−4x
Answer:
The answer is 3x + 17w - 18
Given: EFGH is a square
Find the length of FH.
Answer:
B) 3√2
Step-by-step explanation:
FH = √GH²+FG² = √18 = 3√2
Which inequality has an open circle when it is graphed on a number line?
X>3/5
4/7>_x
X<_12
X_>-6
Answer: X>3/5
Step-by-step explanation: because it doesent have a line under the greater than sign. (: i hope that answers that!!
Geometry! Easy! Full points! One question!
Answer:
144 in.²
Step-by-step explanation:
Simplify.
7x² - x + 9
+ 6x² + 5x - 10
___________
Will give brainliest
Answer:
13x^2+4x-1
Step-by-step explanation:
Helpp plzzz I will mark brainliestttt
Answer:
294
Step-by-step explanation:
We are given the area of 1 face of a cube. The area is 49. Now if their are 6 faces in a cube, and all faces of a cube are the same, then we multiply 49*6 = 294.
P.S. I don't understand the boxes thing but I have the answer :)
write the equation of the line parallel to the given line p (2,-3) y=-6x+10
Answer:
Step-by-step explanation:
y+3 = -6(x-2)
Work out the volume of this cylinder? 28mm height and 30mm base. Who answers this early and first is the brainliest
Answer:
19,792.0mm³
Step-by-step explanation:
π×radius²×height
π×15²×28=19792.03372 rounded to 1dp would ne
19,792.0mm³
the diameter is 30, which is also the base divide by two which makes 15 which will be your radius of your circle.
Use the given information to write the equation of a line.
slope = -2 and passes through through (1,1)
Answer:
y = -2x - 1
Step-by-step explanation:
If you already know the slope. Just find out the y-intercept. Plug the coordinates into the equation.
y = mx + b
y = -2x + b
1 = -2(1) + b
1 = -2 + b
-1 = b
Abigail wants to ride her bicycle 30.4 miles this week. She has already ridden 7 miles. If she rides for 3 more days, write and solve an equation which can be used to determine mm, the average number of miles she would have to ride each day to meet her goal.
At the Rubber Duckie booth at the County Fair, contestants randomly pick two rubber ducks, one from each of two separate pools. Each pool contains five ducks, numbered 1 through 5. To win a prize, the numbers on both ducks must match. The table shows the possible outcomes. What is the theoretical probability that a contestant wins the Rubber Duckie game?
Answer:
listen to other guy
Step-by-step explanation:
i need points sorry
How do you convert fraction to a decimal?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Some people usually convert fractions into decimals by DIVIDING}\\\large\text{the TOP number) by the DENOMINATOR (the BOTTOM number)}.[/tex]
[tex]\large\text{Here is an EXAMPLE of what I meant!}[/tex]
[tex]\large\text{Fraction: }\mathsf{\dfrac{5}{6}}[/tex]
[tex]\large\text{Equation: } \mathsf{5\div6}[/tex]
[tex]\large\text{Answer: } \mathsf{0.833333}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What value of w that makes the equation true 2/3(w+3) = 7
How do you solve this question that proteins to 30-60-90 triangles
Answer:
Step-by-step explanation:
x=17√3
y= 34√2
z= 34
You put 100 candies on a round plate that has a diameter of 9 inches. What is the approximate density of the candies?
Question 33 options:
A. 11.1 candies per square inch
B. 0.39 candies per square inch
C. 1.6 candies per square inch
D. 0.09 candies per square inch
Mrs. People purchased Sandwiches at 2 for $6.00 and Donuts for $2.00 a package. She spent $19 for a total of 7 items. How many sandwiches and donuts did she buy?
Answer:
2. 1. 3. 3 6 . b. Classify the system, and tell how many solutions it has. 6. ... She spent the entire amount on songs, ... number of music videos Mariana bought. 7. A chemist needs to mix a 2% acid solution and a ... sandwich spread. ... Use the given matrices for Items 13–20. A ... person sold and the amount of money collected.
Step-by-step explanation:
What is the SURFACE AREA of this 3-D figure?"
5 m
4 m
4 m
52 meters cubed
48 meters squared
56 meters squared
O 70 meters cubed
Please hwlp
Answer:
Is 5m
Step-by-step explanation:
Im smart yes sirr
Please help.
Is algebra.
Answer:
bcd
Step-by-step explanation:
They are two parallel lines, having the same slope, there is no solution since the lines never cross
JUST ANSWER RIGHT NOTHING ELSE 25 POINTS!!! plEase thank you
Answer:The heck i aint on that im close though
Step-by-step explanation:
Someone plz help me giving brainliest
help ASAP please!!! ill mark brainliest if correct!
Answer:
A. 37, 38, 39, 41, 43, 47, 52, 54
Step-by-step explanation:
A recent increase in sales of microchips has forced a computer company to buy a new processing machine to help keep up with demand. The builders of the new machine claim that it produces fewer defective microchips than the older machine. From a random sample of 90 microchips produced on the old machine, 5 were found to be defective. From a random sample of 83 microchips produced on the new machine, 3 were found to be defective. The quality control manager wants to construct a confidence interval to estimate the difference between the proportion of defective microchips from the older machine and the proportion of defective microchips from the new machine.
The final question is;
Why is it not appropriate to calculate a two-sample z-interval for a difference in proportions?
Answer:
The normality of the sampling distribution of the difference in sample proportions cannot be established.
Step-by-step explanation:
To use the two-sample z-interval for a difference in proportions, some conditions must be met which help us to know the normality of the distribution.
The conditions are;
- The method of sampling for each population must be simple random sampling.
- The samples must be independent.
- Each sample must include at least 10 successes and 10 failures.
- Each population must be a minimum 20 times its sample.
In this case, we are not given the population size and as such we cannot ascertain the last condition I wrote above since the sample proportion we are given alone isn't sufficient. Also, they both don't include at least 10 failures. Thus the normality of the sample proportions cannot be established.
Answer: the normality of the sampling distribution of the difference in sample proportions cannot be established
Step-by-step explanation:
1) Which expression is equivalent to -8(-4y + 6x)?
a. 32y+(-48x)
b. -32y+48x
c. -12y+14x
d. -12y+(-14x)
Answer:
its AAAA
Step-by-step explana
plz like and rate plzzz thank you
Your friend deposits $8,000 in an investment account that earns 2% annual interest. Find the balance after 10 years when the interest is compounded monthly.
Answer:
$9,769.60
Step-by-step explanation:
A = 8000[1 + (.02/12)]^12·10
What 2 numbers multiply to make -30 and add to make -1
Answer:
-6 and 5
Step-by-step explanation:
-6 x 5 = -30
-6 + 5 = -1