The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
Given that,
Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.
We have to determine,
Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?
According to the question,
Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,
the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Substitute the values in the equation,
[tex]\rm Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97} \ miles \ per \ minute[/tex]
If 1 mile = 5,280 feet, then his speed is,
[tex]\rm Speed = \dfrac{50}{97} \ miles \ per \ minute\\\\ Speed = \dfrac{50}{97} \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\[/tex]
And 1 minute = 60 seconds, then his speed is,
[tex]\rm Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\\\ Speed= \dfrac{26,400}{97} \times \dfrac{1}{60} \\\\ Speed = \dfrac{4400}{97} \ feet \ per \ second \\\\ Speed = 45.36 \ feet \ per \ second[/tex]
Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
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What is the domain of g(x)
X is a real number
Answer:
The doing would be x
Step-by-step explanation:
since you are calculating domain for a specific value it would be the corresponding g(x) value which is the domain
What are the solutions to the equation 3(x – 4)(x + 5) = 0
Answer:
x=4
x=-5
Step-by-step explanation:
in order for this to be equal to 0, 1 or both of the factors has to be 0, because anything multiplied by 0 is 0.
123 * 29382 * 8139* 0 = 0
x-4 = 0
x = 4
x+5 = 0
x=-5
What part of an hour passes between 2:24pm and 4:40pm
Answer:
2 1/4 hrs
Step-by-step explanation:
2 1/4 th of an hour passes between 2:24pm and 4:40pm
Between 2:24pm and 4:40pm 2.26 part of hours has been passed.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, What part of an hour passes between 2:24 pm and 4:40 pm.
Now (4 : 40 - 2 : 24 ) = 2 and 16 minutes.
16 minutes is 16/60 = 4/15 or 0.26 hours.
So, in total (2 + 0.26) = 2.26 part of an hour have been passed.
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Please help geometry
Answer:
1187.52
Step-by-step explanation:
2 π r h + 2 π r² = 2·π·7·20+2·π·7² ≈ 1187.52202
Here you go i hope this will help you :)
13) Stephanie is making lasagna for a party. The recipe uses 1 1/2 teaspoons of basil, teaspoons of salt, teaspoons of
pepper and 2/4 teaspoons of salt, 1/8 teaspoons of pepper and 4 teaspoons of parsley.If she needs to make 1.5 times the recipe, how many teaspoons will she use of each
ingredient? How many teaspoons will she use in total (when she combines all of the ingredients)? Show all of your
work.
Answer:
10.875 total, 1.5 times each are below.
Step-by-step explanation:
1.5 (1 1/2) x 1.5 = 2.25
0.5 (2/4) x 1.5 = 0.75
0.125 (1/8) x 1.5 = 1.875
4 x 1.5 = 6
2.25 + 0.75 + 1.875 + 6 = 10.875 total
The height of a basketball thrown by a 6 foot tall man follows a path defined by the function h(x)= -0.5^(2)+3x+6, where x is the horizontal distance from where it is thrown. How far away from the basket should the player stand in order for the ball to go in the basket (10 feet high) on its way down? Show all work.
Given:
The height of a basketball is given by the function:
[tex]h(x)=-0.5x^2+3x+6[/tex]
where x is the horizontal distance from where it is thrown.
To find:
How far away from the basket should the player stand in order for the ball to go in the basket (10 feet high) on its way down.
Solution:
We have,
[tex]h(x)=-0.5x^2+3x+6[/tex]
Putting [tex]h(x)=10[/tex], we get
[tex]10=-0.5x^2+3x+6[/tex]
[tex]10+\dfrac{1}{2}x^2-3x-6=0[/tex]
[tex]\dfrac{1}{2}x^2-3x+4=0[/tex]
Multiply both sides by 2.
[tex]x^2-6x+8=0[/tex]
Splitting the middle term, we get
[tex]x^2-4x-2x+8=0[/tex]
[tex]x(x-4)-2(x-4)=0[/tex]
[tex](x-2)(x-4)=0[/tex]
[tex]x=2,4[/tex]
In the given function the leading coefficient is negative, so the given function represents a downward parabola. It means, first the function is increasing after that the function is decreasing.
So, the value of the function is 10 at [tex]x=2[/tex] (its way up) and at [tex]x=4[/tex] (its way down.
Therefore, the player should stand 4 units away from the basket in order for the ball to go in the basket (10 feet high) on its way down.
NEED QUICK!!!
Describe the differences between a WiFi connection and a Cable connection when sending data on the internet. Respond in full sentences.
Answer:
they both connect to a tower of some sort but cable applies to channels of network and wifi applies the a wide web network.
Answer:
A WiFi connection transmits data via wireless signals, while an Ethernet connection transmits data over cable. ... An Ethernet connection is generally faster than a WiFi connection and provides greater reliability and security.
NEED HELP! What is the equation of the axis of symmetry?
A) x=-4
B) x=4
C) y=4
D) y= -4
help pls and thank you :)
Answer: x+2y+6=0
Option 3
Explanation:
y = (-x-6)/2
2y = -x-6
x+2y+6=0
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Which angles are adjacent to each other?
Angle CHG and Angle HDL
Angle AEB and Angle DEA
Angle CHG and Angle HCE
Angle JCH and Angle CHG
Please make sure it's correct because one person once tried it and got it wrong..lol.
Answer:
B
Step-by-step explanation:
Adjacent angles must have the same vertex, so if the middle letter of the three letters used to name each of the angles in a pair are not the same, the angles cannot be adjacent.
That eliminates choices A, C, and D.
Answer: B
Look in the picture first below. Each pair of angles with the same vertex marked in blue is a pair of adjacent angles. For two angles to be adjacent angles, they must be next to each other, have the same vertex, and one cannot be inside the other.
Now look in the second picture below. Each pair of angles marked in red is not a pair of adjacent angles. Some of them are not next to each other. Others have one angle inside the other.
John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.
A
4x5y7z3
B
4x6y10z
C
8x5y7z3
D
16x6y10z2
D [tex]\bold{16x^{6}y^{10}z²}[/tex]
Answer:
John needs to rewrite the expression [tex](4x^{3}y^{5}z)²[/tex]. Identify which of the following is the simplified form of the expression.
[tex](4x^{3}y^{5}z)²[/tex]
remenber that square is for all
and power is multiplied
[tex]4²x^{3*2}y^{5*2}*z²[/tex]
[tex]16x^{6}y^{10}z²[/tex]
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^{n\cdot m }} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^{3\cdot 2}\cdot y^{5\cdot 2}\cdot z^2=16 \ x^6 \cdot y^{10} \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^{10} \cdot z^2 }[/tex]
Help me with the step by step solution highly appreciated
Answer:
x = -10
x = 6
Step-by-step explanation:
hope this helps:)
I really need help with this, please help me.
Answer:
See below.
Step-by-step explanation:
1. h
2. g
3. a
4. f
5. c
6. b
7. e
8. (17 * 5) * 2 = 17 * (5 * 2) = 17 * 10 = 170
9. 700 + 137 + 300 = 700 + 300 + 137 = 1137
10. $0.25 + $2.69 + $4.75 = $0.25 + $4.75 + $2.69 = $7.69
11. -8 + 57 + 18 = 18 - 8 + 57 = 10 + 57 = 67
12. 26 + 19 + 14 = 20 + 6 + 19 + 10 + 4 =
= 20 + 10 + 6 + 4 + 19
= 30 + 10 + 10
= 40 + 19
= 59
Answer quick plsssssssssss
Answer:
$64
Step-by-step explanation:
Let the pay of Bella be x and Glen be y.
ATQ, 7x-5y=46 and 6x+5y=188, x=18, y=16.
Glen earned 4*16=64 bucks on Friday.
What type of line is PQ?
A. angle bisector
B. side bisector
C. altitude
D. median
Answer: Segment PQ is a median
Step-by-step explanation:
A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side. This means segment PQ has to be a median for it meets the criteria of a median.
The segment PQ is a median.
A median is a segment whose endpoints are the vertex of a triangle and the midpoint of the opposite side.
What is the median?
The median is the middle number in a sorted, ascending, or descending list of numbers and can be more descriptive of that data set than the average.
This means segment PQ has to be a median for it meets the criteria of a median.
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using trig to solve for missing angle
geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.
HELP ASAP!!
THANKS IF YOU DID!!
Answer:
A = 5.6 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 h( b1+b2) where h is the height and b1 and b2 are the lengths of the bases
A = 1/2 (2) (4+1.6)
A = 1(5.6)
A =5.6 m^2
Answer:
Step-by-step explanation:
b1 = 4 m ; b2= 1.6m ; h = 2m
[tex]A =\frac{1}{2}h(b_{1}+b_{2})\\\\=\frac{1}{2}*2(4+1.6)\\\\=\frac{1}{2}*2*5.6\\\\=5.6 m^{2}[/tex]
Solve the inequality 8 + n > 4.
Answer:
n>-4
Step-by-step explanation:
8+n>4
n>4-8
n>-4
Answer:
-4
Step-by-step explanation
Subtract 8 from 4 to get -4.
N = -4
God Bless.
plzz any help please
Answer:
9
Step-by-step explanation:
If the sine of an angle is equal to the cosine of an angle, that means that the sides adjacent and opposite to that angle are equal. One triangle that has two equal sides is an isosceles triangle. We can set this triangle to be a 45-45-90 degree triangle, which means that the angle would be 45.
Now, we have to find the value of
[tex]4\tan^2(45)[/tex]
and
[tex]5\tan(45)[/tex]
The tangent of 45 is 1, so 1 squared times 4 is 4.
We have [tex]4\tan^2(45) = 4[/tex].
Again, the tangent of 45 is 1, and 1 times 5 is 5.
We have [tex]5\tan(45) = 5[/tex]
5 + 4 = 9
Can someone help me out
Answer:
10.2
Step-by-step explanation:
195×2×3×π/360
= 13π/4
= 10.2 (rounded to the nearest tenth)
Answered by GAUTHMATH
I need help solving this
Answer:
E. 248
Step-by-step explanation:
1 to 500 in set A, 250 to 750 in set B
500 - 250 = 250
100 and 200 are divisible by 100.
250 - 2 = 248
Find the volume of each figure. Round your answers to the nearest tenth, if necessary
Answer:
600
Step-by-step explanation:
Volume=l*b*h=5*12*10=600
30 points PLEASE HELP!!!!
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3
Answer:
916.11 ft³
Step-by-step explanation:
(9×6)×7.83/2×13/3
= 211.41×13/3
= 916.11 ft³
Answered by GAUTHMATH
Answer:
916.11 ft³
Step-by-step explanation:
Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ hai 25 đơn vị thì số thứ nhất bằng 2/3 số thứ 2
Trả lời:
86 và 91
Giải thích từng bước:
Cho hai số là x và y. Nếu tổng của chúng là 177, thì;
x + y = 177 ... 1
Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17
Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25
Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:
x-17 = 2/3 (y + 25) .... 2
Từ 1, x = 177-y ... 3
Thay thế 3 thành 2
177-y-17 = 2/3 (y + 25)
160-y = 2/3 (y + 25)
3 (160-y) = 2 (y + 25)
480-3y = 2y + 50
-3y-2y = 50-480
-5y = -430
y = 430/5
y = 86
Vì x = 177-y
x = 177-86
x = 91
Do đó hai số là 86 và 91
HURRYYYYYYYYYYYYYY PLZZZZ
Answer:
G
Step-by-step explanation:
you know its G just by the way it is
with work please and thanks
Answer:
Step-by-step explanation:
He bought a total of 5 tickets, some child, some adult. This is the NUMBER equation.
# of adult tickets + # of child tickets = 5 tickets
Now for the COST equation. Each child ticket costs $2, so the expression for that is 2c; each adult ticket costs $8, so the expression for that is 8a. He spend a total of $22:
$2c + $8a = $22
Money and the number of tickets are NOT THE SAME so they cannot be put into the same equation. They won't add or subtract because they're not like.
Your system is choice A
WILL MARK BRAINLIEST IF CORRECT!!!!!!!!!!!!!!!!!!!!
How many times will the digit '3' appear if we write all whole numbers from 1 to 9999?
100 point!!!!!!!!!!!!!!!!!
(Will report if answer is not mathematical)
Answer:
4000 timesStep-by-step explanation:
The numbers from 1 to 9999 can be shown in the form of:
3xyz, x3yz, xy3z. xyz3Each of x, y, z represent the digits from 0 to 9, so 10 ways each.
For each of the forms we have:
10*10*10 = 1000 ways andTotal of:
1000*4 = 4000 waysBy the way this is applicable to any digit.
Max number of digits=4
Their can be 4ways to represent
Each form can repeat 3
(9999+1)/101000Total repeating
1000(4)4000timesPLS HELP ASAP
What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x − 12?
10^12 X (5.0 x 10^8) X (3.33 x 10^0) =
Answer:
1.665e+21
Step-by-step explanation:
hope it help
make it as brininst
Answer:
[tex]10^{12}\left(5\cdot \:10^8\right)\left(3.33\cdot \:10^0\right)[/tex]
Exponent rule: [tex]a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]10^{12}\cdot \:10^8\cdot \:10^0=\:10^{12+8+0}[/tex]
[tex]5\cdot \:3.33\cdot \:10^{12+8+0}[/tex]
Now, add 12 + 8 + 0 =20
[tex]=5\cdot \:3.33\cdot \:10^{20}[/tex]
Multiply 5 × 3.33=16.65
[tex]=10^{20}\cdot \:16.65[/tex]
Convert to decimal form
[tex]10^{20}=1.0E20[/tex]
Multiply
[tex]16.65\cdot \:1.0E20=1.665E21[/tex]
OAmalOHopeO
And these questions
Answer:
17) 250 km²
18) never
19) sometimes
20) 288 in³
Step-by-step explanation:
17)
this polygon can be seen as the combination of two shapes : a 16×13 rectangle on top, and a right-angled triangle at the bottom.
this triangle has the side lengths
15 km
(16 - 10) = 6 km
(27 - 13) = 14 km
the total area is the area of the rectangle plus the area of the triangle.
the area of the rectangle (length×width)
Ar = 16×13 = 208 km²
the area of the triangle (baseline×height/2)
since it is a right-angled triangle, we use one side of the 90 degree angle as baseline and the other as height
At = 6×14/2 = 3×14 = 42 km²
so the total area of the polygon
Ap = Ar + At = 208 + 42 = 250 km²
18) the first quadrant is the area between the right (positive) side of the x axis and the upper (positive) part of the y axis. all points here have always and only positive x and y values. never any negative ones.
19) when a point is on the x-axis, well, left of point 0 on the x -axis are only negative values of x. and right of point 0 of the x-axis are only positive values of x. so, for some of these points the x value is positive, and for some it is negative. therefore "sometimes".
20) the volume of a box is length×width×height.
V = 8×3×12 = 24×12 = 288 in³