Answer:
Model: [tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]
The dog land on the ground after 0.8706 seconds.
Step-by-step explanation:
The model that said the height of the dog above the ground is a model of uniform acceleration motion, so it is:
[tex]y = y_0+v_0t+\frac{1}{2}gt^{2}[/tex]
Where [tex]y_0[/tex] is the initial height, [tex]v_0[/tex] is the initial velocity and [tex]g[/tex] is the gravity.
So, replacing [tex]y_0[/tex] by zero, [tex]v_0[/tex] by 14 feet per second and [tex]g[/tex] by [tex]32.16 ft/s^2[/tex], we get that the model for the height of the dog above the ground is:
[tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]
Then, the time t when the dog land on the ground is calculated replacing [tex]y[/tex] by zero and solving for t as:
[tex]y = 14t+\frac{1}{2}(32.16)t^{2}\\0 = 14t+\frac{1}{2}(32.16)t^{2}\\0 =t (14 - 16.08t)[/tex]
Now, we have two possible solutions:
[tex]t=0[/tex] or [tex]14-16.08t=0[/tex]
Taking into account that t=0 is the time when the dog leaps into air, the time when the dog land on the ground is equal to 0.8706 seconds and it is calculated as:
[tex]14-16.08t=0\\14=16.08t\\\frac{14}{16.08}=t\\t=0.8706[/tex]
Given the conditional statement c→~b, which of the following is the converse
Answer:
To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains." To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
Step-by-step explanation:
what is the average rate of change of g over the interval [-1 2]
Answer:
j
Step-by-step explanation:
The average rate of change of g over the interval [-1, 2] is -2.67.
What is Average Rate of Change of a Function?Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.
Given a function g.
Given interval is [-1, 2].
Average rate of change = [g(2) - g(-1)] / [2 - -1]
= (-3 - 5) / (3)
= -8/3
= -2.67
Hence the average rate of change is -2.67.
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Suppose you have 20 coins that total $3.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?
A. n + q = 30
5n + 25q = 20
B. n + q = 30
n + q = 3.00
C. n + q = 3.0020
0.05n + 0.25q = 3.00
D. n + q = 20
5n + 25q = 300
Answer: D. n + q = 20
5n + 25q = 300
Step-by-step explanation:
Let n represent the number of nickels that you have.
Let q represent the number of quarters that you have.
Suppose you have 20 coins. It means that
n + q = 20
The total value of the coins is $3. The value of a quarter is $0.25 and the value if a nickel is $0.05. Therefore, the equation would be
0.05n + 0.25q = 3
Multiplying both sides of the equation by 100, it becomes
5n + 25q = 300
The correct option is
D. n + q = 20
5n + 25q = 300
Answer:
D
Step-by-step explanation:
Factor 2x2 - 9x - 5 using substitution.
Answer:
(2x+1)(x−5)
Step-by-step explanation:
If we factor 2x² - 9x - 5 using substitution, we would have; (2x+1)(x−5).
How to factor the expressionThe substitution method of factorization requires that we replace it with another variable. Thus, in the expression above, we would first determine the product of the leading coefficient, and find two numbers that add up to the coefficient of the leading term.
The last step is to group the terms and factor the greatest common factor. The result of this factorization would be:
(2x+1)(x−5)
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You bought a wake board boat 4 years ago for $45,000. The boat's value depreciates by 10%
per year.
Answer:
it would be about $18000 in value
Step-by-step explanation:
:)
help plz..will give the brainliest!!
need step by step explanation .
Answer:
[tex]=8[/tex]
Step-by-step explanation:
[tex]\log _2\left(16\right)\log _3\left(9\right)\\\mathrm{Simplify}\:\log _2\left(16\right):\quad 4\\\log _2\left(16\right)\\\mathrm{Rewrite\:}16\mathrm{\:in\:power-base\:form:}\quad 16=2^4\\=\log _2\left(2^4\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _2\left(2^4\right)=4\log _2\left(2\right)\\=4\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _2\left(2\right)=1\\=4\cdot \:1[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1=4\\=4\\=4\log _3\left(9\right)\\\mathrm{Simplify}\:\log _3\left(9\right):\quad 2\\\log _3\left(9\right)\\\mathrm{Rewrite\:}9\mathrm{\:in\:power-base\:form:}\quad 9=3^2\\=\log _3\left(3^2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _3\left(3^2\right)=2\log _3\left(3\right)\\=2\log _3\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _3\left(3\right)=1\\=2\cdot \:1[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2\\=4\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=8[/tex]
HELP AGAIN (this might be the last question im not sure)
Answer:
They are supplementary angles and have a turn of 180 degrees
Step-by-step explanation:
I did this before
Answer:
They are supplementary angles and have a turn of 180 degrees
Step-by-step explanation:
Which line on the graph below has a slope of zero?
On a coordinate plane, line Q is horizontal, line P has a positive slope, line R is vertical, and line S has a negative slope.
P
Q
R
S
Answer:
Q (B)
Step-by-step explanation:
got it on edge
Answer:
line b
Step-by-step explanation:
What is the perimeter of this tile?
Answer:
6x2=12
Step-by-step explanation:
Answer:
thats 12
Step-by-step explanation:
and ik that for a fact because u need to multipy
A club consisting of 6 juniors and 8 seniors is to be formed from a group of 13 juniors and 16 seniors. How many different clubs can be formed the group?
Answer:
22084920
Step-by-step explanation:
Another point also lies on the line y = 3x 2
Its y-coordinate is 25
Write down the coordinates of this point.
-10 + x + 4 – 5 = 7x – 5 i know the answer its -1 help please
Answer:
x = -1
Step-by-step explanation:
- 10 + x + 4 - 5 = 7x - 5
-11 + x = 7x - 5
-6 + x = 7x
-6 = 6x
x = -1
Answer:
x= -1
Step-by-step explanation:
Step 1: combine like terms
-10+x+4-5=7x-5----------> -10-5+4+x=7x-5-------->-11+x=7x-5
Step 2: Isolate the variable
-11+x=7x-5-------------> -11+5-x+x=7x-x+5-5-------> -6=6x
Answer:
x= -1
will mark brainliest :)
Answer:
B and E
Step-by-step explanation:
The 2 in front of the x^3 stretches it vertically and the +8 shifts it up.
Answer:
hi
Step-by-step explanation:
HELP!!!!!!!!! ASP
A line passes through the points R(–9, 4) and F(1, 2). Two points that lie on a line perpendicular to this line are
Select one:
a.
(–10,–4) and (–5,5)
b.
(10,4) and (5,5)
c.
(15,2) and (24,4)
d.
(2,15) and (4,25)
Answer:
D
Step-by-step explanation:
What you need to do is find the slope of both lines. Perpendicular lines are the negative inverse of each other. The slope of the lie between points R and F is (2-4)/(1+9)=-1/5. Now you need to find the line where the slop is 5. If you look at D, the slope of the line those points lie on is (25-15)/(4-2)=5 which makes D the answer.
Answer:
D. (2,15) and (4,25)
Step-by-step explanation:
The slope of the line that passes through (-9,4) and (1,2) is -1/5 so in order to find the slope that is perpendicular to it, you need to find out with of these pairs of points has a slope that is the negative reciprocal of -1/5 which is 5. So the only points that have the slope of 5 are (2,15) and (4,25).
~Please mark me as brainliest :)
What is the answer of this question
The right answer is x^2-1.
EXPLANATION:
To be a polynomial, the power of each term must be a whole number.
Hope it will be helpful to you...
Good luck on your assignment
~pragya
(I will mark brainliest if correct!! so PLEASE HELP!!!)
Matt has started a car washing business to save money for college. each week he washes three more cars than the week he did before.
Part A: Matt started by washing 6 cars his first week in business. Write an explicit formula that can be used to find the number of cars he washed on any given week.
A. 6+3n
B. 6(3n-1)
C. 6+3(n-1)
D. 3+6(n-1)
Part B: How many cars will Matt wash on his 11th week in business?
A. 17
B. 36
C. 39
D. 66
(if you don't want to answer part B I just really need Part A but it would be very helpful if you did both parts)
Answer:
I think it's A for the first one and B in the second.
Step-by-step explanation:
I'm not sure.
A hotel swimming pool is made up of four semicircles and a square. Find the perimeter of the swimming pool. Round your answer to the nearest tenth.
A drum company advertises a snare drum that is 2 inches high and 12 inches in diameter. Find the volume
of the drum to the nearest tenth. Use 3.14 for
The volume of the drum is about
ins.
Answer:904.78
Step-by-step explanation:
!28 POINTS! I need help quick!! The area of a rectangle is 2x^2-7x-15. Determine binomials that represent the length and the width if this triangle.
Answer:
(2x +3 )(x-5)
one is the length and one is the width
Step-by-step explanation:
2x^2-7x-15
Factor
(2x )(x )
What are the factors of -15? -1*15 and -3*5, 3*-5 , 1*-15
We need 2* one factor ± the other factor = -7
2*-5 +3 = -7
That means the -5 is on the outside and the +3 is on the inside
(2x +3 )(x-5)
You can make one square with four toothpicks. Show how you can make two squares with 10 toothpicks and five squares with 12 toothpicks please help
Answer:
by doing it the same way you did with the first one.
Step-by-step explanation:
Just need the answer no work needed thank you
Answer:
The answer is D 5.75 inches
Step-by-step explanation:
D. 5.75
Step-by-step explanation:
11.5*16*5.75 = 1,058
Given the function f(x) = 2/3 * x - 5 , evaluate f(9)
Answer:
1
Step-by-step explanation:
What is the surface area of a sphere with a radius of 11 units?
O A. 1331 pie units
O B. 363 pie units2
C. 726pie units2
O D. 484pieunits
Answer:
A=1520.53units 2
Step-by-step explanation:
formula is A=4πr2
484 π square units t is the surface area of a sphere with a radius of 11 units
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We have to find the surface area of a sphere with a radius of 11 units
The formula for finding surface area of sphere is 4πr²
where r is the radius of sphere
r=11 units
Surface area =4π.11²
=4×121π
=484 π square units
Hence, 484 π square units t is the surface area of a sphere with a radius of 11 units
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Please answer correctly !!! Will mark brainliest !!!!
Answer:
This answer for the provided question is yes.
If its what I think, The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Step-by-step explanation:
help ASAP
find the volume of the cone and cylinder please
Answer:
This is for cylyinder
V=πr2h
2723.76
please help!! what is the m<4?
Answer:
[tex]m\angle 4 = 117\textdegree[/tex]
Step-by-step explanation:
-Both [tex]\angle 1[/tex]and [tex]\angle 4[/tex] are supplementary, which they both equal to [tex]180\textdegree[/tex]. So, to get the measurement of [tex]\angle 4[/tex], you need to subtract measure of [tex]\angle 1[/tex], from [tex]180\textdegree[/tex] :
-Both [tex]\angle 1[/tex] and [tex]\angle 4[/tex] are supplementary:
[tex]\angle 1 + \angle 4 = 180\textdegree[/tex]
-Find the [tex]m \angle 4[/tex] by subtracting the [tex]m \angle 1[/tex] from [tex]180[/tex] :
[tex]180\textdegree - 63\textdegree = 117\textdegree[/tex]
So, the [tex]m\angle 4[/tex] is [tex]117\textdegree[/tex] .
Find the distance between the points (11, 15) and (11, 6).
Answer:
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
The distance between the pounts 11 and 15 is: 15-11=4 and the distance between 11 and 6 is: 11-6=5
I hope it'll help you much
Thank you for asking
Which graph represents the solution set of the inequality below?
Answer:
A
Step-by-step explanation:
can somebody explain what the problem is explaining to me
Answer:
The problem basically is saying that find two numbers that add up to 8, where one is three times the other.
Step-by-step explanation:
The best thing to do here is to write a simple system of equations.
b+y=8
b=3y
The first equation means that the total blue paint plus the total yellow paint is equal to 8 ounces.
The second equation means that the blue paint is equal to 3 times the yellow paint.
We can isolate b in the first equation to get b=-y+8
-y+8=3y
8=4y
y=2.
So we have that she needs two ounces of yellow paint.
Therefore she needs six ounces of blue paint.
Drag the yellow bar to 2, and the blue bar to 6.
Hope this helps!
HELP ME QUICK HURYY PLZ ILL GIVE YOU 15 POINTS!!!!!
Answer:
I think it is the seconds option
Step-by-step explanation:
the second box i think
can someone plz answer my question :(
Answer:
When they ask for the rows, that means we need to divide everything by the column totals, not the row totals. (See how there's a total row and a total column? We use the total column.) This seems counterintuitive: just think of it as horizontal.
Let's try the "get to work before 9 am" row.
8/11 = .73
3/11 = .27
11/11 = 1.00
It works! Choice A is correct.
Let's now try the "get to work after 9 am" row.
5/9 = .56
4/9 = .44
9/9 = 1.00
It works too! So if you're allowed to put two answers, choices A and B would both be correct.