Answer:
a) The jumper opens the parachute in 7.5 seconds.
b) The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]
Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]
Step-by-step explanation:
Note: The equation presented in statement is incorrect. The correct formula for free fall is:
[tex]h(t)=-16\cdot t^{2}+1900[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h[/tex] - Height above the ground, measured in feet.
a) If we know that [tex]h(t) = 1000\,ft[/tex], then the final instant of the free fall stage is:
[tex]-16\cdot t^{2}+1900 = 1000[/tex]
[tex]16\cdot t^{2} = 900[/tex]
[tex]t = 7.5\,s[/tex]
The jumper opens the parachute in 7.5 seconds.
b) How long is the jumper in free fall if the parachute opens at 950 ft?
If we know that [tex]h(t) = 950\,ft[/tex], then the final instant of the free fall stage is:
[tex]-16\cdot t^{2}+1900 = 950[/tex]
[tex]16\cdot t^{2} = 950[/tex]
[tex]t \approx 7.706\,s[/tex]
The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]
Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]
PLEASE PLEASE PLEASE HELP ME!!!!!! Determine whether the points (–2,3) and (0,–1) are in the solution set of the system of inequalities below. y > –x – 2 y < –5x + 2.
options
A)
Both points are in the solution set.
B)
Neither of the points is in the solution set.
C)
The point (–2,3) is not in the solution set, and the point (0,–1) is in the solution set.
D)
The point (–2,3) is in the solution set, and the point (0,–1) is not in the solution set.
Answer: the answer is A.
Step-by-step explanation:
I took the test
Give the domain and range of the relation. Indicate whether the relation is a function or not.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is not a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is not a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
That's the answer.
Expand.
Your answer should be a polynomial in standard form.
(y2 + 6)(-2y + 7) =
Answer:
See attached image
Step-by-step explanation:
Use the FOIL method
First - multiply the first numbers inside the parentheses (y^2 and -2y)
Outer- multiply the first and last numbers inside the parentheses (y^2 and 7)
Inner - multiply the two numbers next to the closing and opening parentheses (6 and -2y)
Last- multiply the last two numbers in the parentheses. (6 and 7)
Then simplify to put it in standard form.
4. -64
Multiplicative inverse
Answer:
the answer I got is -23, please let me know if I am wrong.
4/5 + 3/5 add following numbers and simplify
Answer:
1 2/5 is your answer in decimal form it is 1.4
4+3/5
7/5~Simplify this fraction~
1 2/5~Is your answer after you simplify~
Answer:
7/5, or 1 2/5 if you're looking for a mixed fraction.
Step-by-step explanation:
Since the denominators are the same, just add the numerators and keep the denominator the same. 7/5
Please answer the question below
Answer:
50 i think
Step-by-step explanation:
58 x 64 is the same as:
(64 x 50) + (64 x )
What number goes in the space?
help please
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 where t is time (in seconds).
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
[tex]t = 5.0625[/tex]
Step-by-step explanation:
Given
[tex]h(t)=-16t^2+80t+5[/tex]
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
[tex]0=-16t^2+80t+5[/tex]
Reorder
[tex]-16t^2+80t+5 = 0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex] [tex]b =80[/tex] [tex]c = 5[/tex]
So, we have:
[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]
[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]
[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]
[tex]t = \frac{-80\±82.0}{-32}[/tex]
This gives:
[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]
[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]
[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]
But time can not be negative.
So, we have:
[tex]t = \frac{162}{32}[/tex]
[tex]t = 5.0625[/tex]
Hence, time to hit the ground is 5.0625 seconds
solving a compound inequality. check all that apply.
Answer:
The solutions are:
-28.25, -14.5, -2.25
Step-by-step explanation:
Given compound inequality is:
[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]
The compound inequalities are broken down into two inequalities to find the solution
The two inequalities will be:
[tex]\frac{2x+4}{3} \geq -17.5[/tex] AND [tex]\frac{2x+4}{3}<{17.5}[/tex]
Solving both inequalities one by one
[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]
The solution is:
-28.25 ≤ x < 24.25
We have to see which options lie in the solution range.
The solutions are:
-28.25, -14.5, -2.25
2. Next she needs to find her maximum heart rate m by subtracting her age a from 220. Write an
equation she can use.
Answer:
220 - a = m
Step-by-step explanation:
a is her age
Please help me find the x and y value of these
Answer:
27 and 28
Step-by-step explanation:
Solve the following equation for c.
ab + cd = e
(Sorry, this is all the info they gave me.)
Answer:
Step-by-step explanation:
ab + cd = e
cd = e - ab
d =(e - ab)/d
Memorial Stadium has worked with the same advertising company for 10 years. According to the company's data the stadium has spent approximately $2.5 million on advertising over that period for 100 events. If the patrons to all of these events numbered 18.5 million, what is the ratio of patrons to advertising dollars?
Answer:
7.4:1
Step-by-step explanation:
The rate of patrons to advertising dollar is7.4 patrons per dollar.
What is rate?A rate is a comparison between two quantities that's calculated by dividing one quantum by the other. The quotient a/ b is appertained to as the rate between a and b if a and b are two values of the same kind and with the same units, similar that b isn't equal to 0. rates are represented by the colon symbol(). As a result, the rate a/ b has no units and is represented by the memorandum ab.
Given:
The colosseum has spent roughly $2.5 million on advertising over that period for 100 events.
So, the rate of patrons to advertising
= 18.5 million patrons to $2.5 million
= 18.5/2.5
= 7.4 patrons per dollar
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3. The number of years that Brad has been on the soccer team is 2 less than 5 times the number
of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long
has Brad been on the soccer team?
Answer:
Answer: Brad has been in the team for 8 years. Trust i got it right on the test
Step-by-step explanation:
Giving brainliest to the correct answer 20 points!!!
Answer:
x, (40,0)
y, (0,15)
hope it helps
Answer:
78
Step-by-step explanation:
hvtyvyuhj7
Chang wants to know if he is improving
Answer:
Yes he is
Step-by-step explanation:
Answer:
Yes! he is
Step-by-step explanation:
:)
Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?
Complete Question:
Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?
Answer:
Tim has 90 hard cover books
Step-by-step explanation:
Represent the paper books as P and the hard covers as H
The total number of books can be represented as:
[tex]P + H = 447[/tex]
From the first statement, we have:
P = 3 less than 4 times H
This means:
[tex]P = 4H - 3[/tex]
Required
Solve for H
Substitute 4H - 3 for P in [tex]P + H = 447[/tex]
[tex]4H - 3 + H = 447[/tex]
Collect Like Terms
[tex]4H + H = 447 + 3[/tex]
[tex]5H = 450[/tex]
Solve for H
[tex]H = \frac{450}{5}[/tex]
[tex]H = 90[/tex]
Hence:
Tim has 90 hard cover books
The temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer. It may reach a low of -225 degrees Fahrenheit at the poles. Which expression gives the difference between those temperatures?
Answer: See explanation
Step-by-step explanation:
Since we are informed that the temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer and may also reach a low of -225 degrees Fahrenheit at the poles.
The expression that gives the difference between those temperatures would then be calculated as:
= 70°F - (-225°F)
= 70°F + 225°F
= 295°F
Josh plans to spend at most $45 on a gift for his mother, including the $15 he plans to spend on flowers. Which inequality represents x, the range of amounts that Josh can spend on the gift?
Answer:
x ≤ $30
Step-by-step explanation:
Including the $15 for flowers, there is a budget of $45. Josh cannot spend more than $30 on a gift.
x can be less than or equal to $30
The inequality for the $x of gift x≤ 30.
What is inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age?
Olivia's age is unknown to you since the word "equals" is missing. However, because you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12.
Given:
Total amount spend on gift = $45
price of flower= $15
So, the amount of gift only is
=45- 15
=$30
Thus, Josh can only spend $30 for the gift not more than that.
Hence, the inequality for the $x of gift
x≤ 30
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A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5
meters below sea level. How many meters did he descend?
MUST SHOW WORK
you get EXTRA points if you show your WORK!
good luck please solve this :)
Answer:
From his starting point of 85 3/4, he descended 17 9/20 meters
Step-by-step explanation:
We want to know how much farther he went down from his starting point.
103 1/5 - 85 3/4
S
tart off by making the denominators of both the numbers the same.
103 1/5 - 85 3/4
103 4/20 - 85 15/20
Make them into improper fractions
2064/20 - 1715/20 = 349/20
Make 349/20 into a mixed fraction
17 9/20
Solve (x + 3)(x - x = 0. (2 points) x = 3, x = -8 O x = -3, x = 8 x = 3, x = 8 O x = -3, X = -8
answer:
the answer is -3 and 8
Step-by-step explanation:
we will place -3 in the equation
(x+3)(x-x)=0
(-3+3)=0 (because -3+3 will cut down together)
we will place two 8(eights) in the equation
(8-8)=0
final answer is
(0)(0)=0
so -3 and 8 fits well in the equation
What is 1/6 divided by 6/7
7/36
[tex]\frac{1}{6} /\frac{6}{7}=\frac{1}{6}*\frac{7}{6}=\frac{7}{36}[/tex]
-c+1 > 2 now this one
-c + 1 > 2
-c > 2-1 Move 1 to subtract.
-c > 1
c < -1 When the coefficient is negative, moving the negative to another side as changing the sign of Inequality to opposite.
Thus, the answer is c < -1
Which fraction represents the ratio of the red portion of the circle to the
complete circle?
Answer:
can you add a picture of the circle?
Step-by-step explanation:
Given 3,8,14,x+6,2x-3,25,32,50 are in ascending order , whose median is 18. Find the unknown terms.
I=$24, P=$400, T=2years
Answer:
rate = 24*100/(400*2) = 3%
Step-by-step explanation:
The original price of a marker is $5.00 What will the new price be after a
15% increase ? *
Answer:
5.75
Step-by-step explanation:
for a 15% increase, you multiply 5.00 x 1.15. you then get 5.75. hope this helps!
Answer:$5.75
Step-by-step explanation:
How many 8-song play lists contain no songs by One Direction? Suppose Janine decides to let her iPod select an 8-song play list at random.
Answer:
Step-by-step explanation:
1. Find the volume of the shape below:
3 i
5.8 in
12 in
Answer:
208.8 inches is the answer
Based on concepts related to the volume of prisms, the volume of the shape depicted with the dimensions shown in the figure is equal to 208.8 square inches. #SPJ2
How to calculate the volume of a prism-like element
Prisms are tridimensional elements whose volume is equal to the product of area of its base, in square inches, and its height, in inches. The base of the shape is certainly a rectangle, whose area is equal to the product of its width and length, both in inches.
Therefore, the volume of shape is:
V = (12 in) · (5.8 in) · (3 in)
V = 208.8 in³
Based on concepts related to the volume of prisms, the volume of the shape depicted with the dimensions shown in the figure is equal to 208.8 square inches. #SPJ2
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120% of __________ is 78
120% of 65 is 78.
This means that 120 times what equals 78.
120*65=78
Answer:
65
Step-by-step explanation:
