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Try it! 2
A test weight is dropped from the top of a fire department
training tower onto a net three feet off the ground. Use - 16t2 for the change
in height per second.?
a.) Write an equation to determine the time
it takes for the test weight to drop on the
net.
67 ft
b.) How long does it take before the test
weight is caught by the net? Explain.
Answers
Using quadratic function concepts, it is found that:
a) The equation is: 16t² - 64 = 0.
b) It takes 4 seconds before the weight is caught by the net.
What is the quadratic equation for a projectile's height?It is given by:
h(t) = -16t^2 + v(0)t + h(0).
In which:
v(0) is the initial velocity.h(0) is the initial height.Item a:
In this problem, the object starts from rest at a height of 67 ft, hence v(0) = 0 and h(0) = 67.
Then, the equation for the height is given by:
h(t) = -16t^2 + v(0)t + h(0)
h(t) = -16t^2 + 67
It hits the net when h(t) = 3, hence:
3 = -16t^2 + 67
16t² - 64 = 0.
Item b:
16t² = 64
[tex]t = \pm \sqrt{4}[/tex]
t = 4, as time is positive.
It takes 4 seconds before the weight is caught by the net.
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Related Questions
Suppose y varies directly with x, and y = 68 when x = 17. What is the value of x when y = 16 ?
Answers
Answer:
x=4
Step-by-step explanation:
y=68 and x=17
68/17=4
y=16 and x=?
16/4=4
x=4
pls fast.
..
...........
Answers
Answer:
8 1/6
Step-by-step explanation:
4 1/2 + 3 2/3
convert to improper fractions
9/2 + 11/3
find lcm
27+22/6
49/6
convert back to mixed
8 1/6
Answer:
step by step
Step-by-step explanation:
12+12__12john
I need help with this please I will mark brainliest if possible
Answers
Step-by-step explanation:
[tex] - \sqrt{2 } \div 2[/tex]
Use the unit circle to help you!
Find the lowest value of the following
4%
1/4
0.4%
0.4
Answers
since 4% and 0.4% are in percentage already
then convert ¼ and 0.4 to percent
¼ to percent = ¼× 100
= 25%
0.4 to percent = 4/10 ×100
=40%
the smallest is 0.4%
In the last several weeks, 67 days saw rain and 23 days saw high winds. In that same time period, 13 days saw both rain and high winds. How many days saw either rain or high winds
Answers
The number of days that had either rain or high winds for the considered case is 77
What is the addition rule of size for two subsets?For two subsets A and B of the universal set U, we have:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
Assume that:
A and B be the subsets of what happens on each day.
Then in the days of last several weeks , we take:
A = set of days which had rainB = set of days which had high winds,then, as per the data given, we get:
n(A) = number of days seeing rain = 67n(B) = number of days seeing high winds = 23 n(A ∩B) = number of days seeing both rain and high winds = 13Thus, we get:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\n(A \cup B) = 67 + 23 - 13 = 77[/tex]
Thus, n(A ∪B) = number of days seeing either rain or high winds = 77
Thus, the number of days that had either rain or high winds for the considered case is 77
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This table represents a linear relationship between x and y.
X Y
-6 -3
-4 -2
-2 -1
0 0
Based on the linear relationship in
this table, what is the value of y when x is 4?
A. 1
B. 2
C. 3
D. 4
Answers
Answer:
y = 2
Step-by-step explanation:
Given table:
[tex]\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\\underline{| \ \ \text{x} \ \ | \ \ \text{y} \ \ | } \\ \underline{| \ \text{-6} \ \ | \ \text{-3} \ \ |} \\ | \underline{\ \text{-4} \ \ | \ \text{-2} \ \ | }\\ \underline{| \ \text{-2} \ \ | \ \text{-1} \ \ |} \\ \underline{| \ \ \text{0} \ \ | \ \ 0 \ \ |}[/tex]
To determine the value of y when "x" is 4, we need to determine the equation of the line that represents the table given. Then, we can substitute the value of "x" in the equation to determine the value of y.
Determining the equation of the line that represents the table:
Y-intercept:
Since the coordinate (0, 0) is included in the table, we can tell that the equation of the line that represents the table passes through the origin. Therefore, we can tell that the y-intercept is 0 as the y-intercept is the point on the line that intersects the y-axis.
Slope:
The slope of the line can be determined by picking any two points in the table and substituting the coordinates of the chosen points in the slope formula. Let our chosen points be (-6, -3) and (0, 0).
[tex]\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]\implies \text{Slope} = \dfrac{0 - (-3) }{0 - (-6) }[/tex]
[tex]\implies \text{Slope} = \dfrac{0 + 3 }{0 + 6 }[/tex]
[tex]\implies \text{Slope} = \dfrac{3}{6} = \dfrac{1}{2}[/tex]
Equation of line:
The equation of the line represented by the table in slope intercept form is y = mx + b, where "m" is the slope and "b" is the y-intercept.
Obtained slope and y-intercept:
Slope = 1/2y-intercept = 0⇒ y = (1/2)x + 0
⇒ y = x/2
Therefore, the equation of the line is y = x/2.
Determining the value of y when "x" is 4:
Obtained equation of line that represents the table:
⇒ y = x/2Given value:
x = 4Therefore,
⇒ y = (4)/2⇒ y = 2Thus, the value of "y" when "x" is 4 is 2.
The PTA sells school supply packs each year. If 60% of the 400 students purchase from the PTA, then how many school supply packs do they sell?
Answers
:} Im sorry i dont know
...........................................................
Help this is for my study on math
Answers
Answer:
I think you're being asked to identify the questions that are "statistical questions".
Step-by-step explanation:
so..
a). NO ( not a statistical question).
b). YES ( a statistical question).
c). NO ( not a statistical question).
d). NO ( not a statistical question).
e). YES ( a statistical question).
Hope this helps .
Olivia, Charles, and Reese had a challenge to see who could run the farthest in a week. Olivia ran 13 miles, Charles ran 18 times as many miles as Olivia and Reese ran 1/2 as many miles as Charles. What equation could you use to find how many miles Reese ran?
Answers
Answer:
1/2 of (13miles) ×18
Step-by-step explanation:
Olivia Charles Reese
13miles (13miles) ×18 1/2 of(13×18)
234miles 117miles
Pls help with this:
Answers
Answer:
a=80° b=40°
Step-by-step explanation:
a=80 (vertically opposite angles )
a+b+90+150 = 360° ( angle sum property of quadrilateral )
80+b+90+150 = 360
b+ 320 = 360
b= 360-320
b=40°
Evaluate the expression x^3+ x^2 X equals 4
Answers
Answer:
x=-2 you just put the equation on the computer
(will mark brainlist♀️)
Lessons
Assessments ✓ Gradebook
Question 9(Multiple Choice Worth 1 points)
(08.04 MC)
For the graph, what is a reasonable constraint so that the function is at least 300?
Answers
Answer:
option B is correct answer
Scientists claim that a type of insect inherits wing colors in a ratio of 3:3:1 of black, red, and yellow. A sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings. What is the approximate P-value for the chi-square goodness of fit test
Answers
The p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.
What is the chi-square test?A hypothesis testing method is the Chi-square test. Two popular Chi-square tests involve comparing observed and expected frequencies in one or more categories.
The expected proportions are:
3/7, 3/7, 1/7 respectively
Test stasisttics = 0.978
Df = n -1 = 3 - 1 = 2
P-value = 0.622
Thus, the p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.
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The rectangle below represents the base of a rectangular prism. Use the ruler provided to measure the dimensions of the rectangle to the nearest centimeter. S The height of the rectangular prism is 12 centimeters. What is the volume of the rectangular prism? A 32 cm³ B 20 cm³ C 360 cm³ D 240 cm³
Answers
The volume of a rectangular prism with base of 5 cm by 6 cm with a height of 12 cm is 360 cm³
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The volume of the rectangular prism = length * width * height = 5 cm * 6 cm * 12 cm = 360 cm³
The volume of a rectangular prism with base of 5 cm by 6 cm with a height of 12 cm is 360 cm³
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Find the volume of the composite figure please help me I don’t understand it thankyou
Answers
Answer:
i dont eather i need to know the ?
Step-by-step explanation:
there r 12 fish tanks
each fish tank has 20 quarts
every 10 gallons eqal 1 teaspoon
how many teaspoons for the fish tanks
Answers
Answer:
six teaspoons
Step-by-step explanation:
12 fish tanks, each 20 quarts
12x20=240 quarts in 12 tanks
we need to convert quarts to gallons
4 quarts equal one gallon, so
240/4=60 gallons in 12 tanks
60 gallons divided by every 10 gallons equal six teaspoons.
What is the probability of rolling a pair of dice and not rolling a 6
Answers
Answer: 5/6
Step-by-step explanation: P(6) = 1/6 and P(not a 6) is 1 - P(6)
1-1/6 =5/6
What percent of 175 is 122
Answers
Answer:
69.71%
Hope this helps!
Answer: 69.7142857%
Step-by-step explanation:
What is the rule for the transformation above?
A.
f(x , y) = (-x , y)
B.
f(x , y) = (-x , -y)
C.
f(x , y) = (y , x)
D.
f(x , y) = (x , -y)
Answers
The rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is
What is the transformation of figure?Transformation of a figure is to change the size, shape or the position of a figure to create a new figure for required use.
The reflection of a plane or shape is flipping the original figure with respect to a reference line. The rule of reflection about x and y-axis is given below,
Reflection about x-axis [tex](x,y)-- > (x,-y)[/tex]Reflection about y-axis [tex](x,y)-- > (-x,y)[/tex]The given figure in the graph is reflected about y-axis. Thus, the rule for the transformation is,
[tex]f(x , y) = (-x , y)[/tex]
Hence, the rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is
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What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply.
StartFraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) EndFraction
The coefficient of the solution is 6.4, the difference of the original coefficients.
The exponent of the solution is –12, the difference of the original exponents.
The coefficient of the solution must be greater than or equal to one but less than 10.
The quotient is 3.0 × 10-12
The solution is a very large number.
Answers
Answer:
B.The exponent of the solution is –12, the difference of the original exponents.
C.The coefficient of the solution must be greater than or equal to one but less than 10.
D.The quotient is 3.0 ×
Step-by-step explanation:
The answer is B, C, D :)
Thanks to the person above me have a good day
Correct on edge 2022 :).
What is an equation of the line that passes through the points (-3, -4) and (-4,-6)?
Answers
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
[tex]euation \: of \: a \: line \: has \: the \: forula \\ y - y1 = m(x - x1) \\ where \: m = slope \\ m = \frac{y2 - y1}{x2 - x1} = \frac{ - 6 - - 4}{ - 4 - - 3} \\ = \frac{ - 6 + 4}{ - 4 + 3} = \frac{ - 2}{ - 1} = 2 \\ now \: putting \: m = 2 \: into \: the \: equation \\ y - - 4 = 2(x - - 3) \\ y + 4 = 2(x + 3) \\ y + 4 = 2x + 6 \\ y = 2x + 6 - 4 \\ y = 2x + 2[/tex]
PLEASE RATE AND MARK BRIANLIEST
| Tracey has two empty cube-shaped containers with sides of 5 inches and 7 inches. She fills the smaller container completely with water and then pours all the water from the smaller container into the larger container. How deep, to the nearest tenth of an inch, will the water be in the larger container?
Answers
Answer:
5x7=35
Step-by-step explanation:
A tenth of an inch of water container will be 35.
Which of the following inequalities is graphed on the number line below?
Answers
Since the arrow is going to the left side that means x must be LESS than 2, so the sign must be <.
Therefore, answer is A.
write the 3 properties of logarithm used to combine logarithms
Answers
Answer:
here!
Step-by-step explanation:
Properties/Rules Exponents Logarithms
Product Rule xp.xq = xp+q loga(mn) = logam + logan
Quotient Rule xp/xq = xp-q loga(m/n) = logam – logan
Power Rule (xp)q = xpq logamn = n logam
2x2x3x4x442x24ex5x7677x6748
Answers
Answer:
5.436564x^14905
A circle has a radius 6 inches. If a sector of the circle has an area of 10.8Tt square inches, then what
percent of the circle's area does the sector represent?
Answers
A = pi • 6 • 6
A = 113.097335529 square inches
To get the percent of the section, divide the section by the whole, and multiply by 100.
10.8/113.097335529 = 9.54929658553%
Which expression is equal to
Answers
Answer:
A
Step-by-step explanation:
The denominator does not change....just add the numerators
(x-2) - ( x^2-2x+6)
x -2 - x^2 + 2x - 6 = -x^2 + 3x -8
A
pedro cycled 8 laps around his neighborhood, but this was only 40% of his total cycling workout. How many more laps does he still need to cycle?
Answers
Answer:
12 more laps to go
Step-by-step explanation:
8 = 40 % of x
.40 x = 8
x 8 / .4 = 20
he has already ridden 8, so 12 more to go
Which function is a quadratic function? t(x) = (x – 4)2 3 q(x) = (2x 4)3 3 r(x) = (–6x – 4)4 3(x 2)2 s(x) = –(x – 6) 3(x 1)
Answers
The function t(x) = (x-4)² + 3 is a quadratic function.
How to determine the quadratic function?A quadratic function has a leading exponent of 2
This means that the highest power of a quadratic function is 2
From the list of given options, the function t(x) = (x-4)² + 3 has a leading exponent of 2
Hence, the function t(x) = (x-4)² + 3 is a quadratic function.
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1,024,000,000 rounded to the nearest billion
Answers
Answer:
1,000,000,000
Step-by-step explanation: