a) The volleyball reached its maximum height after 3 seconds.
b) The maximum height of the volleyball was 23 feet.
c) If the volleyball is not returned by the opposing team, it will hit the ground in
5.5 seconds.
d)The graph that models the volleyball's height over time is exponential.
e) The volleyball was served for a height of 5 feet.
Answers
b) The maximum height of the volleyball was 23 feet.
e) The volleyball was served for a height of 5 feet.
Related Questions
a building in san francisco is shaped like a square pyramid it has a slant height og 856.1 feet and each side of its base is 145 feel long find the lateral area of the building
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for a Square Pyramid
[lateral area]=4*[a*s/2]--------> 2aS
where
a is the length side of the square base
S is the slant height
a=145 ft
S=856.1 ft
[lateral area]=2*145*856.1---------> 248269 ft²
the answer is 248269 ft²
I need both answers now!
Answers
Answer Is (B)
Part B:
Answers are: (C and E)
Hope this helps.
evaluate the principal square root of 36 .
answer ??? help plz thank u :)),
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The slope of the line whose equation is x+2y=3 is
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Let m = slope in the picture.
The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. The function below shows the relationship between f(x) and x:
f(x) = 10(1.3)x
Which of the following graphs best represents the function?
Graph of f of x equals 1.3 multiplied by 10 to the power of x
Graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity
Graph of f of x equals 10 multiplied by 1.3 to the power of x
Graph of f of x equals 1.3 to the power of x
Answers
f(x) = 10(1.3)^x
The graphs that best represents the function is:
Graph of f(x) equals 10 multiplied by 1.3 to the power of x.
Step-by-step explanation:The function that shows the relationship between f(x) and x: is:
[tex]f(x)=10\times (1.3)^x[/tex]
a)
Graph of f(x) equals 1.3 multiplied by 10 to the power of x.
This means that the expression is given by:
[tex]f(x)=1.3\times (10)^x[/tex]
Hence, option: a is incorrect since it is not equal to the given function f(x).
b)
Graph of exponential function going up from left to right in quadrant 1 through the point (0, 0) and continuing towards infinity.
In the given function f(x) when x=0 we have:
[tex]f(x)=10\times (1.3)^0\\\\\\f(x)=10\neq 0[/tex]
Hence, option: b is incorrect.
c)
Graph of f(x) equals 10 multiplied by 1.3 to the power of x.
This means that the function f(x) is given by:
[tex]f(x)=10\times (1.3)^x[/tex]
which is obviously true.
Hence, option: c is correct.
d)
Graph of (x) equals 1.3 to the power of x.
This means that the function f(x) is given by:
[tex]f(x)=(1.3)^x[/tex]
which does not m,atches the actual expression.
Hence, option: d is incorrect.
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
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PLEASE HELP!!!!!!!!!!!!!!!!!
IS IT CORRECT?
BRAINLIEST AVAILABLE IF 2 PPL ANSWER
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Which high school math course, algebra or geometry, is more closely related to engineering? justify your answer?
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Algebra: is the name that identifies a branch of Mathematics that uses numbers, letters and signs to be able to refer to multiple arithmetic operations.
Geometry: Part of the mathematics that studies the extension, the way of measuring it, the relationships between points, lines, angles, planes and figures, and the way they are measured.
For the study of engineering requires extensive knowledge in different fields of mathematics. However, as the engineer must handle an endless number of equations, more knowledge in algebra is more important.
Answer:Algebra.
Final answer:
Both algebra and geometry are integral to engineering, with algebra being more directly related to the numerical problem-solving aspects, and geometry being crucial for spatial understanding and design. A well-rounded engineering education incorporates both, to prepare students for advanced mathematical concepts and engineering science courses.
Explanation:
Both algebra and geometry are closely related to engineering, but they serve different purposes within the field. Algebra is fundamental for problem-solving and numerical analysis in engineering. It allows for the creation of mathematical models that can describe physical processes, and is often used alongside computer programs to solve complex real-life problems. Geometry, on the other hand, is essential for a thorough understanding of spatial relationships and structures, which are critical in fields such as mechanical, civil, and architectural engineering.
find the second, fourth, and eleventh terms of the sequence described by each explicit formula A(n)=2+(n-1)(-2.5)
Answers
A(n)=2+(n-1)(-2.5)
where n is the number of terms
To get the terms required we simply substitute our values on the expression
the 2nd term will be:
A(2)=2+(2-1)(-2.5)
A(2)=2+1(-2.5)
A(2)=-0.5
the fourth term will be:
A(4)=2+(4-1)(-2.5)
A(4)=2+3(-2.5)
A(4)=2-7.5
A(4)=-5.5
the eleventh term will be:
A(11)=2+(11-1)(-2.5)
A(11)=2+10(-2.5)
A(11)=2-25
A(11)=-23
What is 8.3x10^-9 in standard form?
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( eight zeros.)
A prism with a volume of 3125 ft³ is scaled down to a volume of 200 ft³.
What is the scale factor?
Enter your answer, as a decimal or a fraction in simplest form, in the box.
I think it's 2/5 or 0.4
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Answer:
The scale factor is equal to [tex]0.4[/tex] or [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
we know that
If two figures are similar. then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z------> the scale factor
x------> the volume of the dilated prism
y------> the volume of the original prism
so
[tex]z^{3}=\frac{x}{y}[/tex]
we have
[tex]x=200\ ft^{3}[/tex]
[tex]y=3,125\ ft^{3}[/tex]
substitute
[tex]z^{3}=\frac{200}{3,125}[/tex]
[tex]z=\sqrt[3]{\frac{200}{3,125}}[/tex]
[tex]z=0.4[/tex] or [tex]z=\frac{2}{5}[/tex]
Find the derivative of f(x) = |x2 – 1| at the point (1, 0).
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meaning, the function is not differentiable at x = 1, graph wise, it simply means is not a "smooth curve", instead is an abrupt edge, or a "cusp" or a "spike", so the graph may be continuous at x = 1, however, is the extremum is not a smooth curve, notice the picture below.
Jill had an AGI of $25,000. She had $2800 in medical expenses, paid $6000 in rent, and had to buy a new uniform for work, which was not reimbursed by her employer. Which expense(s) can she itemize on her tax return?
A.Nonreimbursed work expenses, mortgage interest, and medical expenses
B.Mortgage interest and medical expenses
C.Medical expenses and nonreimbursed work expenses.
D.Mortgage interest only
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Answer:
C.Medical expenses and nonreimbursed work expenses.
Step-by-step explanation:
just did it on apex
Answer:
C
Step-by-step explanation:
Medical expenses and nonreimbursed work expenses.
What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD
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16x = 100
x = 100/16
x = 25/4
answer is F. 25/4
Value of x for the similar triangles ΔABD ~ ΔCAD is equals to [tex]\frac{25}{4}[/tex].
What are similar triangles?" Similar triangles are defined as the triangles with same shape but different in their size, corresponding sides of similar triangles are always in proportion."
According to the question,
As per the diagram,
ΔABD and ΔCAD are similar triangles.
AB = 10 units
BD = x units
BC = 16 units
CD = BC - BD
= 16 - x
ΔABD is a right angle triangle.
Therefore,
Using Pythagoras theorem,
[tex]AD ^{2} = 10^{2} -x^{2}[/tex]
ΔABD corresponding ΔCAD as per the given diagram.
From the definition of similar triangles corresponding sides are in proportion.
[tex]\frac{AD}{CD} =\frac{BD}{AD}[/tex]
⇒[tex]AD^{2} =(BD )(CD)[/tex]
Substitute the value of AD, BD and CD we get,
[tex]10^{2} -x^{2} = (x) (16-x)[/tex]
⇒[tex]100 -x^{2} =16x-x^{2}[/tex]
⇒[tex]100 = 16x[/tex]
⇒[tex]x= \frac{100}{16}[/tex]
⇒[tex]x=\frac{25}{4}[/tex]
Hence, Option(F) is the correct answer.
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Find the length of a line segment with endpoints of -9 and 7.
I don't understand how to do this.
A.-16
B.-2
C.16
D.26,
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You are standing 40 feet away from a building that is 115 feet tall. What is the angle from the ground to the top of the building to the nearest degree?
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How to solve
187=1/2*17(6+X)
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Two numbers are in the ratio of 2 to 3. If the smaller number is 18, the larger number is _____. 21 27 36 54
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the answer is 27
Answer: If two numbers are in a ratio of 2 to 3, this means that two times one number is equal to 3 times the other, or:
2*X = 3*Y, where X and Y are any numbers, and X is the bigger one and Y is the smaller one.
If Y=18, then:
2*X = 3*18 = 54
X=54/2 = 27
So the answer is 27.
A circular pool is surrounded by a circular walkway. The radius of the pool is y − 4 and the radius of the full circle formed by the walkway is y + 4. Write a polynomial that represents the area of just the walkway itself, not including the space covered by the pool. (The area of a circle is given by A = πr ^2, where r represents the radius of the circle.)
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The polynomial representing the area of the walkway is the difference between the area of the large circle (π(y + 4)²) and the small circle (π(y − 4)²).
Explanation:To find the polynomial that represents the area of the walkway surrounding a circular pool, we need to calculate the difference between the area of the larger circle (walkway plus pool) and the area of the smaller circle (just the pool).
The radius of the pool is y − 4, and the radius of the walkway plus the pool is y + 4. The area of a circle is given by A = πr².
First, calculate the area of the large circle:
Area of the large circle = π(y + 4)²
Then, calculate the area of the small circle:
Area of the small circle = π(y − 4)²
Finally, the polynomial for the area of the walkway is found by subtracting the area of the small circle from the area of the large circle:
Area of the walkway = π(y + 4)² − π(y − 4)²
The polynomial that represents the area of just the walkway (not including the pool) is π(8y + 32).
Explanation:To find the area of just the walkway, we need to subtract the area of the pool from the area of the full circle formed by the walkway. The area of the pool is given by A = πr ^2, where r is the radius of the pool (y - 4). The area of the full circle is given by A = πr ^2, where r is the radius of the walkway (y + 4). Therefore, the area of the walkway is (π(y + 4) ^2) - (π(y - 4) ^2). Simplifying this expression, we get the polynomial: π(8y + 32).
Choose the correct discount or markup. If an item has a retail price retail price = $995 and a discount of 15%, how much is the discount? It is $ options a. 149.25 b. 139.25 c. 144.50
Answers
So the correct answer is (a). 149.25
Final answer:
The discount amount on an item with a retail price of $995 and a 15% discount is $149.25 that is option a is correct answer.
Explanation:
Discount Amount Calculation:
Calculate the discount amount by multiplying the retail price by the discount percentage.
Discount = $995 x 0.15 = $149.25.
The correct answer is $149.25 (option a).
A key difference between calculating the sample mean and the population mean is that:
a.we use and n instead of µ and n.
b.we divide the sum of the observations by n - 1 instead of n.
c.the sample observations are ranked and the middle value is selected as the population mean.
d.there are no differences.
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Final answer:
The key difference between calculating the sample mean and the population mean is that when calculating the sample mean, we use x and n instead of µ and n. Additionally, we divide the sum of the observations by n - 1 instead of n. Correct Option -B
Explanation:
The key difference between calculating the sample mean and the population mean is that when calculating the sample mean, we use x and n instead of µ and n. Additionally, we divide the sum of the observations by n - 1 instead of n.
The reason for dividing by n - 1 in the sample mean calculation is that it provides a better estimate of the population variance. Dividing by n - 1 instead of n accounts for the fact that the sample mean is an estimate of the population mean based on a limited set of data.
A. 11 cm^3
B. 14 cm^3
C. 15 cm^3
D. 25 cm^3
Answers
We need to find the radius of the larger cylinder
V = [tex] \pi [/tex]r²h
960 = [tex] \pi [/tex]r²(16)
[tex] \frac{960}{16} = \pi r^2[/tex]
60 = [tex] \pi r^2[/tex]
[tex] \frac{60}{ \pi } = r^2 [/tex]
r = [tex] \sqrt{ \frac{60}{ \pi } } [/tex]
r ≈ 4.27 cm
The ratio of the bigger cylinder to smaller is:
16 : 4
Therefore, the big cylinder is 4 times bigger than the small cylinder
[tex] \frac{4.37}{4} [/tex] = r
r = 1.09 cm (radius of small cyclinder)
V (small cylinder) = [tex] \pi [/tex](1.09)²(4)
= 15 cm³
Your answer will be C. 15 cm³
while the base area = [tex] \pi r^{2}[/tex]
since the two cylinders are similar then the ratio between the two radii= the ratio between the two heights =16/4 =4
then the volume of the large cylinder with respect to the smaller dimensions= [tex] \pi * (4r)^{2} *(4*4)=(\pi r^{2} *4)*4*16[/tex]
but [tex] the volume of the smaller one = \pi r^{2} *4[/tex]
then the volume of the large cylinder = the volume of the smaller cylinder*4*16=960
then the smaller's volume= [tex] \frac{960}{4*16}=15[/tex]
Jamie has 4 apples and 6 bananas. Each apple cost 0.75 and each banana cost 0.6” write an expression representing the total cost
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answer: 6.6
4 x 0.75 + 6 x 0.6 = 6.6
Enjoy.
~Isabella
Which value(s) of x would result in Set B being a function of the values in Set A? Select Function or Not a Function for each value of x. Are the following numbers a function or not a function
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To determine if Set B is a function of the values in Set A, we need to ensure that each value of x in Set A has only one corresponding value in Set B:
-2: Function5: Function0: Not a Function1: Function-3: FunctionFor each value of x, we can determine if Set B is a function or not by checking if there is only one corresponding value in Set B.
For x = -2, there is only one corresponding value in Set B, so it is a function.
For x = 5, there is only one corresponding value in Set B, so it is a function.
For x = 0, there are multiple corresponding values in Set B, so it is not a function.
For x = 1, there is only one corresponding value in Set B, so it is a function.
For x = -3, there is only one corresponding value in Set B, so it is a function.
Therefore, Set B is a function of the values in Set A for all values of x except for x = 0.
Time 6 years Interest rate 1.9% Principal- $850 What amount of simple interest will be earned? $16.15 O $96.90 $946.90 $9,690.00
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The value of y varies directly with x, and y = 12 when x = 16.
Find y when x = 6.
A. 8
B.12
C.2/9
D.9/2
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Final answer:
Given that the value of y varies directly with x, and y = 12 when x = 16, we find that y when x = 6 is 9/2, corresponding to option D.
Explanation:
The question asks to find the value of y when x = 6, given that the value of y varies directly with x, and y = 12 when x = 16. This is a problem of direct variation, where the relationship between the variables can be represented by the equation y = kx, where k is the constant of variation.
To find k, we use the given values: y = 12 when x = 16. Substituting these into the equation gives 12 = k(16), leading to k = 12/16 or k = 3/4. Then, to find y when x = 6, we substitute x = 6 into the direct variation equation with our found k value: y = (3/4)(6), simplifying to y = 9/2.
Therefore, the value of y when x = 6 is 9/2, which matches option D.
6.
Evaluate cot 290º. Round your answer to the nearest hundredth.
–1.06
–0.36
2.92
–2.75,
Answers
The solution this is the following:
cot(110°) = -cot(70°)
cot(70°) = -1/tan(70°)
tan(70°) ≈ 2.75
-1/tan(70°) ≈ -0.36
A trinket factory can produce 3,000 trinkets per day. The warehouse has a capacity of 50,000 trinkets. Currently, there are 8,000 trinkets in the warehouse. Assume that no trinkets are going to be shipped out of the warehouse for a while. 1) Write an equation for the number of trinkets in the warehouse after days. 2) How many days will it take to fill the warehouse?
Answers
8,000 + 3,000x = 50,000
How many days will it take to fill the warehouse?
8,000 + 3,000x = 50,000
3,000x = 42,000
x = 14
The equation for number of trinkets after x days is 8,000 + 3000 * x = y and the number of days required to fill the warehouse is 14.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
The trinket factory can produce 3,000 trinkets per day
Total Capacity of warehouse is 50,000 trinkets
The trinkets in the warehouse is 8,000
The equation for the number of trinkets in the warehouse after x days is
Let y represents the total number of trinkets after x days
8,000 + 3000 * x = y
The days required to completely fill the warehouse is
8,000 + 3,000 * x = 50,000
3,000* x = 42,000
x = 14
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Please HELP.. MEDAL/ FAN
The ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years. Approximately what percent of the students are between 14 and 18 years old?
24.17%
62.47%
30.85%
93.32%,
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So the solution for this is that P(students between 14 and 18 years) = 0.9332 - 0.3085 = 0.6247.
To get the percentage, just multiply it by 100 and you will get the answer.
To solve a problem, we often _________ the given information into algebraic expressions and equations.
Example: The phrase "4 more than twice a number" becomes '2n + 4'.,
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Answer:
Translate or transform
Step-by-step explanation:
Took the test (USA test prep)