Answer: No. the remote control car traveled 2 miles per hour whereas a car typically travels between 30 miles per hour and 60 miles per hour.
Step-by-step explanation:
[tex]\dfrac{115\ inches}{3.21\ seconds}\times \dfrac{1\ foot}{12\ inches}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ seconds}{1\ minute}\times \dfrac{60\ minutes}{1\ hour}\\ \\\\=\dfrac{414,000\ miles}{203,385.6\ hours}\\\\\\=\dfrac{2.0\ miles}{1\ hour}[/tex]
Speed of Courtney's remote control car is: 2 mph
Courtney's remote control car is slower than an average freeway car since averagely the speed of a car on the freeway is usually 60 mph.
Given that:
Distance covered by Courtney's car = 115 inches
Time taken to cover that distance = 3.21 seconds
Converting inches to miles and seconds to hours:
[tex]1 inch \approx 0.0000158 miles\\115 inches = 115 \times 0.000158 miles\\=\approx 0.00182 miles\\\\3.21 seconds = \dfrac{1}{3600} \times 3.21 \: hours\\= 0.00089 \: hours\\[/tex]
Thus speed of Courtney's car can be calculated as
[tex]Speed = \dfrac{distance}{time}\\\\= \dfrac{0.00182}{0.00089} mph\\\\= 2.089 mph \approx 2 mph[/tex]
Thus Speed of Courtney's car is approx 2 miles per hour whereas the average speed of a car on a freeway is about 60 miles per hour.
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simplify 12a^7b^5/16a^2b^2
Answer:
[tex]\frac{12a^7b^5}{16a^2b^2}=\frac{3}{4} a^5b^3[/tex]
What is the midpoint of the segment shown below?
Answer:
(1, -3/2)
Step-by-step explanation:
The x coordinate is the same for both endpoints so the x coordinate for the midpoint is 1
The y coordinate for the midpoint is found by adding the two y coordinates and dividing by 2
(2+-5)/2 = -3/2
The midpoint is
(1, -3/2)
Answer:
The answer is D
Step-by-step explanation:
plz hurry and answer i will give brainliest
what is 2*2+6/2*3
Answer:
This would equal 13.
2x2=4, 6/2=3, 3x3=9, 9+4=13
If you expand and simplify (2x+3)(x+4)
Answer:
The answer is 2x² + 11x + 12.
Step-by-step explanation:
You have apply Distributive Law,
[tex]a(m + n) = am + an[/tex]
So for this question :
[tex](2x + 3)(x + 4)[/tex]
[tex] = 2x(x) + 2x(4) + 3(x) + 3(4)[/tex]
[tex] = 2 {x}^{2} + 8x + 3x + 12[/tex]
[tex] = 2 {x}^{2} + 11x + 12[/tex]
[tex](2x + 3)(x + 4) \\ = 2x(x + 4) + 3(x + 4) \\ = 2x \times x + 2x \times 4 + 3 \times x + 3 \times 4 \\ = {2x}^{2} + 8x + 3x + 12 \\ = {2x}^{2} + 11x + 12 \\ hope \: it \: helps[/tex]
Solve for x. Assume that line which appear to be diameters are actual diameters.
Answer:
x = 8
Step-by-step explanation:
The angle above the 6x-8 = 180 -140 = 40
The angle on the opposite side is 40 degrees as well because they are vertical angles
6x-8 = 40 degrees
Add 8 to each side
6x= 48
Divide by 6
6x/6 = 48/6
x = 8
what is the c value?
answer in x= form
if f(x) =5x-2 and g(x) = 2x +1 find(f+g)(x)
Answer & Step-by-step explanation:
When we see (f + g)(x), it means that we are going to be adding f(x) to g(x).
f(x) = 5x - 2
g(x) = 2x + 1
(f + g)(x) = (5x - 2) + (2x + 1)
Combine like terms.
(f + g)(x) = 7x - 1
So, (f + g)(x) equals 7x - 1
Predecessor and successor of 999
A 350 m cable is attached to the top of the tower. The angle of elevation to the top of the tower is 60. How high is the tower in meters
Answer:
303
Step-by-step explanation:
sin 60 = x / 350
x = 350(sin60) = 303.1
The price of a gallon milk was $2.65 the price rose why dollars after the last hurricane then the price dropped $.15 and later Rosie came by five cents which expression represents the current price of milk
Answer:
p = y + 2.55
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and later rose again by $0.05. Which expression represents the current price of milk
My answer:
Let p is the price of milk
Given the information:
Stage 1: The price of a gallon milk was $2.65<=> p = 2.65
Stage 2: rose y dollar<=> p = 2.65 + y
Stage 3: price dropped $.15<=> p = 2.65 + y - 0.15
Stage 4: rose again by $0.05<=> p = 2.65 + y - 0.15 + 0.05
<=> p = y + 2.55
Hope it will find you well.
What is d, the common difference, in the arithmetic sequence 100, 98, 96, 94, 92, ...?
-1
Ο 2
Ο Ο Ο Ο.
-2
Ο 100
Answer:
-2
Step-by-step explanation:
If (x - 3) represents the side of a cube, what is the
polynomial that represents its volume?
Answer:
x³ - 9x² + 27x - 27
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side ) , thus
V = (x - 3)³
= (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL
= (x - 3)(x² - 6x + 9) ← distribute
= x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms
= x³ - 9x² + 27x - 27
a 4cm by 6cm rectangle sits inside a circle with a radius of 11 cm what is the shaded region
Answer:
355.94 cm2
Step-by-step explanation:
if it is the area of the shaded part, you have to find the area of rectangle and the area of the circle, then subtract the rectangle's area from the circle's.
area of circle = 3.14( i used this π because the radius is not divisible by 7) × 11 × 11 = 379.94.
area of rectangle = 6 × 4 = 24cm
379.94 - 24.00 = 355.94cm2.
Which of the following statements is/are true regarding the figure above?
Check all that apply.
A. It is a one-dimensional object.
B. It is a line segment.
C. It is a zero-dimensional object.
D. It is a point.
How can a triangular prism have a greater volume than a rectangular prism?
Answer:
If the triangular prism is bigger than the rectangular prism, it will have a greater volume. There are also many other reasons listed below:
Possible reasons:
If the triangular prism is bigger than the rectangular prism, it will have a greater volumeThe rectangular prism could have less width than the triangular prismThe rectangular prism could have less depth than the triangular prismThe rectangular prism could have less length than the triangular prismPlease mark Brainliest if correct.
Sorry if it is not correct.
Please help! select the correct answer
Answer:
the answer is show me your kitty cat
Step-by-step explanation:
During the 2010 baseball season, the number of wins for three teams was three consecutive integers. Of these three teams, the first team had the most wins. The last team had the least wins. The total number of wins by these three teams was 252. How many wins did each team have in the 2010 season?
Answer: 83,84 and 85
Step-by-step explanation:
Let the number of win for the teams be x, x+1 and x+2 respectively. From the question, we are told that the total number of wins by these three teams was 252 for the 2010 season. Therefore,
x+x+1+x+2 = 252
3x+3 = 252
3x = 252 - 3
3x = 249
x = 249/3
x = 83
This means that the team with least wins has 83 while the second team has 84 and the team with most wins has 85.
Matías compró un cuarto kilogramo de jamón y lo utilizó para hacer tres tortas así No sobró y a cada torta le puso la misma cantidad de jamón cuánto le tocó a cada torta
Answer:
The amount of ham in each cake = 1/12 kg
Question:
Matías bought a quarter kilogram of ham and used it to make three cakes like that. There was no leftover and he put the same amount of ham in each cake, how much he touched in each cake.
Step-by-step explanation:
Matías bought = 1/4 kilogram of ham
1/4 kilogram of ham = 3 cakes
There was no remainder
the same amount of ham is in each cake.
To find the amount of ham in each cake, we need to know the fraction of ham in each cake.
Since 3cakes = 1/4kg
1cake = (1/4kg×1cake)/3cakes
= 1/4kg ÷ 3 = 1/4 × 1/3
The fraction of ham in each cake = 1/12
The amount of ham in each cake = 1/12 kg
State the solution
5x-y=14 and x+3y=-10
Answer:
x = 2, y = - 4
Step-by-step explanation
5x-y=14
x+3y= - 10
x = - 10 - 3y
5(- 10 - 3y) - y = 14
- 50 - 15y - y = 14
-16y = 64
y = - 4
x = -10 - 3y = - 10 - 3*(- 4) = - 10 + 12 = 2
x = 2
Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x? 2 plus-or-minus StartRoot 10 EndRoot i 1 plus-or-minus StartRoot 10 EndRoot i StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction 1 plus-or-minus StartRoot 5 EndRoot i
Answer:
[tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]
Step-by-step explanation:
The equation given is:
[tex]2x^2 = 4x - 7\\\\2x^2 - 4x + 7 = 0[/tex]
Using quadratic formula:
[tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}[/tex]
From the question:
a = 2, b = -4, c = 7
Therefore:
[tex]x = \frac{4 +/- \sqrt{(-4)^2 - 4 * 2 * 7} }{2 * 2}\\\\x = \frac{4 +/- \sqrt{(16 - 56)} }{4}\\\\x = \frac{4 +/- \sqrt{-40} }{4}\\[/tex]
=> [tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]
The solution of given quadratic equation is given as [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]
Given the quadratic equation:
[tex]2x^2 = 4x -7[/tex]
Formula for finding roots of quadratic equation [tex]ax^2 + bx + c = 0[/tex] is given by:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\[/tex]
Here, we get a = 2, b = -4, and c = 7.
Thus, the roots can be found as:
[tex]x = \dfrac{4 \pm \sqrt{16 - 56}}{4} \\\\x = \dfrac{4 \pm \sqrt{-40}}{4} \\\\x = \dfrac{4 \pm 2i\sqrt{10}}{4} \\\\\\x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]
Thus, the solution of the given quadratic equation is given as [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex].
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Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. How far do Ryan and Andy live from each other?
Answer:
Answer:
Ryan and Andy live 11.4 blocks from each other.
Step-by-step explanation:Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin.Position of Ryan on coordinate system: 2 blocks west (2 unit left from origin) = -2 5 blocks south (5 unit down) = -5Coordinate of Ryan: (-2,-5)Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. Position of Andy on coordinate system: 7 blocks east (7 unit right ) = 7 2 block north (2 unit up) = 2Coordinate of Andy: (7,2)We need to find the distance of Ryan and Andy.
Answer:
C.) 11.4
Step-by-step explanation:
Just took the test on Edge 2020
I need to match each one to each other
Answer
speed : metres per second (a)
perimeter : meters (b)
volume : cubic centimetres (d)
area : square metres (c)
20% of a number is 58
Answer:
290
Step-by-step explanation:
The reason this is the answer is because if you divide 100% by 20% it will give you 5% so then you have to multiply 58 times 20 which will give you 290.
Answer:
290
Step-by-step explanation:
How do I figure out how many combinations there are.
Answer:
multiplying and dividing
Step-by-step explanation:
Can someone please help me
Answer:
1) D
2) B
3) A
4) D
Step-by-step Explanation:
1) 1,300,000
= 1.3 × 10⁶
2) 0.052
= 5.2 × 10⁻²
3) 4,500
= 4.5 × 10³
4) 0.00061
= 6.1 × 10⁻⁴
the mean of the data set {9, 5, y, 2, x } is twice the data set {8, x, 4, 1, 3}. What is (y-x)^2?
Answer:
256
Step-by-step explanation:
To calculate the mean, we simply divide the sum of the values by the count.
For the first set, the mean is as follows;
(9 + 5 + 2 + y + x)/5 = (x + y + 16)/5
For the second set;
(8 + x + 4 + 1 + 3)/5 = (16 + x)/5
Since both are divided by 5, we can eliminate it
Mean of first set is twice the second
This means that;
x + y + 16 = 2(16 + x)
x + y + 16 = 32 + 2x
y = 32-16+2x-x
y = 16 + x
Now we want to calculate
(y-x)^2
substitute the value of y here
(16+x-x)^2
= 16^2 = 256
PLZ HLP MEEEEEEEEE the A's in the Similar Postulate stand for _________.
Answer:
Angle
Step-by-step explanation:
Can anyone help me solve this equation? 4b+11=39
A and B are two similar solids.
15 cm
10 cm
The volume of A is 400 cm.
十
工
Work out the volume of B.
Similarity - Area and Volume
View One Minute Version
Overview
Answer:
600cm3 the 3 is ment to be cubed
Step-by-step explanation:
Describe fully the single transformation that maps triangle a onto triangle b
Answer:
reflection of Δa about y=2 results in Δb
Step-by-step explanation:
The single transformation that maps triangle a onto triangle b is: Reflection about y=2
Triangle A should be reflected about y=2 to map it onto Triangle B.
Here, from the given figure we get,
Coordinates of the vertices of triangle (A) are A(1, 3), B(2, 3) and C(1, 5)
After transformation of triangle A, coordinates of the vertices A', B' and C' of the image triangle (B) are,
A'(1, 1), B'(2, 1) and C'(1, -1)
Lets choose point A to find the rule of transformation,
A(1, 3) → A'(1, 1)
Rule → (x, y) → (x, 2 - (y - 2)) or (x, y) → (x, 4 - y)
It shows triangle (A) has been reflected across a line y = 2.
Therefore, Triangle A should be reflected about y=2 to map it onto Triangle B.
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