We have a jumper that jumps from 1500ft above the ground, such that its height as a function of time is given by:
h(t) = -16*t^2 + 1500
The solutions are:
A) 5.59 seconds
B) 5.91 seconds
C) D = (0s, 9.68s)
R = [0ft, 1500ft]
Notice that when t = 0, h = 1500, then at the initial time (t = 0) the height is 1500 (in ft), which means that the zero of the height is the ground.
a) How long is the jumper free fall if the parachute opens at 1000 ft?
Here we need to solve:
h = 1000 = -16*t^2 + 1500
Now we just need to solve this for t:
16*t^2 = 1500 - 1000 = 500
t^2 = 500/16 = 31.25
t = √31.25 = 5.59
So it takes 5.59 seconds to open the parachute.
B) similar to before, this time we need to solve:
h = 940 = -16*t^2 + 1500
16*t^2 =1500 - 940 = 560
t^2 = 560/16 = 35
t = √35 = 5.91
So it takes 5.91 seconds to open the parachute.
C) The domain is the set of inputs that we can use in the function.
The minimum of the domain is t = 0, when the jumper jumps.
To find the maximum of the domain we need to find the maximum time at which he could open the parachute, that is when h = 0ft, just in the ground.
Then we solve:
h = 0 = -16*t^2 + 1500
16*t^2 = 1500
t = √(1500/16) = 9.68
Then a reasonable domain is (0s, 9.68s)
And the range is the set of possible outputs, which will be all the possible heights of the jumper. We know that all of these are between 0ft and 1500ft, thus the range is [0ft, 1500ft]
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A class consists of 10 male students and 30 female students. If one student is randomly selected from the class, what is the probability of selecting a male student?a. 10/30.
b. 10/40.
c. 1/10.
d. 1/40.
Answer:
a=10/30
Step-by-step explanation:
because you can simplify it to 2/15
Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation. Bernadette bought six more fish for her tank. How can you model this situation? The situation can be modeled by algebra tiles with and . The situation can be represented as an algebraic expression as .
Answer:
1. one orange x tile
2. six orange + tiles
3. x + 6
Step-by-step explanation:
The situation can be represented as an algebraic expression as:
y = x + 6
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
Bernadette bought six more fish for her tank,
Suppose, Bernadette has x number of fish already
the expression for the total number of fees can be written as,
Total number of fees = Number of fees he has already + 6
= x + 6
⇒ y = x + 6
Hence, the given condition can be expressed as y = x + 6
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Solve the equation for x.
– 1/2x – 3 = 4
Answer:
x = -4
Step-by-step explanation:
Multiply both sides by 2. Move constant to the right-hand side and change the sign. Add the numbers. And change the signs on both sides of the equation.
What is the equation of a line that passes through the point (1. 8) and is perpendicuarto rene rose cons y=+32 Enter your answer in the box
Answer:
-12yx
Step-by-step explanation:
y=x/2+3
y-3= -6
-6y= x/2
-6 x 2= -12yx
Solve the equation formed when f ( x ) = g ( x ).
f ( x ) = 4 x − 4
g ( x ) = 1 2 x + 3
Group of answer choices
A. x = -4
B. x = 4
C. x = 2
D. x = -2
Answer:
The answer should be x = -7/8 but it doesn't say that for any of the choices
Step-by-step explanation:
Solve two fifths plus two sevenths please help fast you only get 1 minute mark brainiest
First, you will want to get the denominators of both fractions to be the same, the easiest way to do this is by multiplying the denominators, so 5 x 7 = 35
next you need to do the same for the numerators, so 2 x 7 = 14 and 2 x 5 = 10
now you have the equation 14/35 + 10/35
next, you add the numerators. so, 14 + 10 = 24
therefor, 2/5 + 2/7 =24/35
so your answer is 24/35
Answer:
c
Step-by-step explanation:
the guy is a champ
evaluate
[tex] \frac{4}{2 {i}^{15} } [/tex]
please show work as I don't understand, thanks
Answer:
6
Step-by-step explanation:
good
The lengths of the sides of a triangle are in the extended ratio 7: 9 : 10. The perimeter of the triangle is 52 cm. What are the lengths of the sides?
Answer:
14 cm, 18 cm, 20 cm
Step-by-step explanation:
7x + 9x + 10x = 26x
equation: 26x = 52
divide each side by 26: x = 2
7 * 2 = 14
9 * 2 = 18
10 * 2 = 20
check if answer is right: 14 + 20 + 18 = 52
I hope this helped, please mark Brainliest thank you so much!!
Find the slope-intercept equation of the line that passes through (0,-1) and has a slope of -2/3 .
Answer:
y= -2/3x-1
Step-by-step explanation:
Hope this helps!
Last month, Curtis bought a new mountain bike for $250. In a store advertisement, the mountain bike is on sale for $210. What is the percent of the decrease in the value of the mountain bike?
Answer:
16%
Step-by-step explanation:
say the percent decrease = x. Then
x/100 x 250 = 210.
x/2 x 5 = 210
x/2 = 210/5
x/2 = 42
x = 42 x 2
x = 84.....
BUT this is not the answer. We need 100-84=16 for the answer.
So the bike dropped 16%. Thank me later :)
If Curtis bought a new mountain bike for $250. In a store advertisement, the mountain bike is on sale for $210. Then 16% of the decrease in the value of the mountain bike
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity
Given,
Curtis bought a new mountain bike for $250.
the mountain bike is on sale for $210.
We need to find the percent of the decrease in the value of the mountain bike.
Let the percent decrease be x.
x/100 x 250 = 210.
5x/2= 210
Divide both sides by five
x/2 = 210/5
x by two equal to two ten by 5, we get x by two equal to forty two
x/2 = 42
Apply cross multiplication
x = 42 x 2
x = 84.
We need 100-84=16.
Hence 16 percent of the decrease in the value of the mountain bike
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Type the correct answer in each box. Use numerals instead of words.
Michael accidently dropped his conducting baton off the top of the bleachers while performing with the marching band at a football game. The
bleachers are 144 feet high, and the baton landed after 3 seconds. Complete the table modeling the height of the baton, h(t), after t seconds.
Answer: the first bubble is 144, the last bubble is 3
Step-by-step explanation:
at 0 seconds the height is 144. at 3 seconds the height is 0.
The required missing values in the table are (0,176) and (3.67, 0).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The equation representing the given data in the table is given by the equation of the line,
y - y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the value in the above equation from the table.
y - 128 = (80-128)/(2-1) (x - 1)
y - 128 = -48/1(x - 1)
y = -48x + 48 + 128
y = -48x + 176
Put x = 0 in the above equation,
y = 176 feet high
Again put y = 0
0 = -48x = +176
48x = 176
x = 176 / 48
x = 3.67
Thus, the required missing values in the table is (0,176) and (3.67, 0).
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Jason buys a jar of vitamins that contains 180 tablets. He
saves $5 by using a coupon. He pays $11.20. What is the cost
of each tablet for someone who does not have a coupon?
Write and solve an equation for this situation. Solve the
problem.
Answer: 11 cents
Step-by-step explanation:
add 11.20 +5=16.20, then dived by 180, which equals .11
Answer all three you get 100 points plus Brain-List
1. A 21,000-gallon swimming pool contains 9000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1500 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
2. Sherry needs to sell T-shirts as a fundraiser for a charity. She starts with 40 T-shirts and begins selling at a constant rate of 5 T-shirts each day.
Use the Segment tool to plot a graph representing the number of T-shirts Sherry has left to sell from the time she begins selling until the T-shirts are gone.
3. For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds.
Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand.
Answer:
Can u put a picture of the thing
Step-by-step explanation
Please help me due today by 3:00pm please help me
Answer
n= 0
Explanation
- 3 (n - 3) = 3n + 9−3(−3)=3+9
−3+9=3+9
−3=3
-3n=3n−3n=3n
−3−3=3−3
−6=0
The solution to -3(2 - 5x) = 3x + 12 is
1. -2.25
2. -1.625
3. 1.5
4. 3
Answer:
1.5
Step-by-step explanation:
i am not certain but this is how I got it
First distribute which gives you the -3 with 2 I switched them around so I did -3(-5x+2) and you will get 15x-6
Then the opposite of subtraction is addition so you add 6 to both sides so you add six to 12 and to 6 leaving you with 15x=3x+18 you then will subtract 3x from 15x and 3 leaving you with 12x=18 the divide the numbers
After you divide you get 3/2 then put it has a decimal and you get 1.5
The formula for calculating simple interest, I, is I = prt where p is the principle, r is the rate and t is the time. Solve for p.
1. I - rt
2. I + rt
3. I/rt
4. rt/I
The solution of the formula for p is p = I/ rt which is divided by the principle p times r. which is the correct answer would be an option (C)
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
Given that the formula as:
⇒ I = prt
where I = Interest, P = principal,
R = rate and T = time is used to calculate the amount of simple interest earned.
⇒ I = prt
After getting P on one side, you must divide rt to get the letter p by itself.
⇒ I = prt
⇒ p = I/ rt
Hence, the correct answer would be option (C)
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Which number has a value between -8.423 and -8.395?
A. -8.1
B. -8.75
C. - 8 1/2
D. 8 2/5
Answer:
Step-by-step explanation:
Jmeu eimejrimr
The number between -8.423 and -8.395 will be - 8 2/5.
What is Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Given that;
Two numbers are,
⇒ - 8.423 and - 8.395
Now,
Since, Two numbers are,
⇒ - 8.423 and - 8.395
Clearly, - 8.1 is greater than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8.75 is less than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8 1/2 is less than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8 2/5 = - 8.4 is in between - 8.423 and - 8.395.
Hence, It is between the numbers - 8.423 and - 8.395.
Thus, The number between -8.423 and -8.395 will be - 8 2/5.
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Dada una distribución t de Student con 15 grados de libertad, calcule el valor de t1 tal que a) el área a la derecha de t1 sea 0.01, b) el área a la izquierda de t1 sea 0.95, c) el área a la derecha de t1 sea 0.10, d) el área a la derecha de t1 junto con el área a la izquierda de –t1 sea 0.01, e) el área entre a –t1 y t1 sea 0.95.
Answer:
a) t₁ = 2,947
b) t₁ = 2,131
c) t₁ = 1,753
d) t₁ = 2,947 -t₁ = -2,947
e) t₁ = 2,131 -t₁ = -2, 131
Step-by-step explanation:
a) t₁ para el área a la derecha de 0,01
En la tabla t- student el t correspondiente a 0,01 es:
t₁ = 2,947
b) t₁ para el área a la izquierda sea de 0,95. Es igual al t para el cual el área de la drecha es 0,05
t₁ = 2,131
c) t₁ para que el área de la derecha sea 0,10
t₁ = 1,753
d) Buscar t₁ para el cual las áreas de derecha de (t₁) más la de la izquierda de (- t₁ ) sea 0,01.
Si el área es de 0,01 quere decir que la mitad, es decir 0,005 es el área para una cola, luego
t₁ = 2,947 y -t₁ = -2,947
e) Para que el área entre - t₁ y t₁ sea 0,95
t₁ = 2,131 y -t₁ = -2, 131
Can someone help me with these?
Answer:
Luzilândia baiana não ia já ouvi falar em Maranhão que e Rosa do Brasil na rocha godprl e abaixa e viu neon
X = 6{2 + 3[2(7 − 3) + (4 + 1) − 3]}
A pound of ground beef costs $5 At this rate, what is the cost of 3 pounds
Answer:
$15
Step-by-step explanation:
if one pound is $5 and we need 3, then we can multiply the price of one pound by 3. (3×$5) This gives $15
NEED HELP ASAP!! (PIC ATTACHED)
Guided Practice
CPCTC
Given
KGK
H is the midpoint of GK
Prove:
Side FG - Side JK
Statement
Reason
es
Evaluate the expression 2x^2-y^1+3x^0 for x=3 and y=7
Answer:
14
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Solve the system
-3x+4y+2z=1
x+2y-z=6
2x-y+4z=7
Answer:
its A dont know how to explain it but i did the math and yes it is (2,3,1)
Step-by-step explanation:
Answer:
the answer is d (3,2,1) according to the picture given
Step-by-step explanation:
the system you wrote is different from the picture
hi guys whats 456829+345627=
you will win 85 points
Answer:
802456
Step-by-step explanation:
Which one is an expression, which one is an equation, or neither? Picture below
Answer:
Check Explanation
Step-by-step explanation:
5b = 25 (equation)
5b (neither)
5(3+4) (expression)
Find the missing measure and write your solution on the blank provided
Answer:
5: c=65 d=125 e=60
6: c= 58 d= 121 e=63
7. a=55 b=64 c=61
8. a=61 b=55 c=64
Step-by-step explanation: :)
What is the relationship between the values of the given digits 7's in 7'700
Step-by-step explanation:
The given number is 7700.
We need to find the relationship between the values of the digit 7s in it.
The digit in the extreme left is 7 and second no is again 7.
The place value of first 7 is 7000
The place value of second 7 is 700.
Taking ratio of place value of 7 in first 7 and for second 7 as follows :
[tex]R=\dfrac{7000}{700}\\\\R=10[/tex]
So, value of first 7 is 10 times that of the value of second 7.
The population of a certain town is growing at a constant rate. Suppose the population is 1900 initially, and after 4 years the population is 2212. Which of these expresses the rate at which the population is increasing?
Answer:
The rate of change relates the change in population to the change in time. The population increased by 2212−1900=312 people over the four-years. To find the rate of change, divide the change in the number of people by the number of years.
2212−19004=3124
3124/4 =78
So the population increased by 78 people per year.
Because we are told that the population increased, we would expect the slope to be positive. This positive slope we calculated is therefore reasonable.