The speed of the car is 41.7 m/s when the power is 1890 watts.
What is Proportion?Proportion is defined as an equation on which two or more ratios are made to be equal to each other.
It is given that the power, P is proportional to square of the Speed,s.
If P ∝ s², then P = k s², for some constant k.
When s = 45 m/s, P = 2200 watts
k = P / s² = 2200 / 45² = 1.086
∴ when P = 1890 watts,
1890 = 1.086 × s²
s² = 1740.331
s = 41.717 ≈ 41.7 m/s
Hence, if power is proportional to the square of the speed, then, the speed of the car engine is 41.7 m/s if the power is 1890 watts.
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What type of a regular polygon in which each interior angle is 2/3 of two right angles?
Answer:
Triangle
Step-by-step explanation:
90/3=30
30×2=60.
60° internally in a triangle.
What is the volume?????
Find the sum: -1 + 4 + 9 + ... + 64
Answer:
= 78
Step-by-step explanation:
Step One:
1 + 4= 5
Step Two:
5+9= 14
Step Three:
14+64= 78
= 78
Hope it helps :)
Answer: 441
Step-by-step explanation:
The formula for an arithmetic sum is
[tex]$\frac{\text{number of terms}}2 \cdot (\text{first term + last term})$[/tex]
We know that the [tex]\text{first term + last term} = -1 + 64 = 63[/tex]. So now all we need is the [tex]\text{number of terms}[/tex]. Well, if you draw each number onto the number line, you get something like
---|------|------|------|------|------|-----|------|-----|------|-----|------|-------|----------
-1 0 1 2 3 4 5 6 7 8 9 10 11 ...
You can see that your numbers are spaced 5 apart, and they go from -1 all the way up to 64. So what you're really asking is, "how many segments of five can I draw from -1 up to 64?" The length of the line from -1 to 64 is 65 (think about it), so the number of line segments is 65/5 = 13. However, we didn't count 64 itself, since there's no line segment past it! So really there are 14 terms in this sequence. Thus the total sum is
[tex]$\frac {14}2 \cdot (63) = \boxed{441}.$[/tex]
Do you know what the variables could be
Answer:
5, 7, and 12
Step-by-step explanation:
First we can make and equation
x + z + y = 24
we can plug in the numbers you gave us giving us
y = x + z
z = y - x
x = (y - 2) ÷ 2
Once, were done we get that x = 5 ≈ smallest number
z = 7 ≈ second largest number
y = 12 ≈ largest number
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
Step-by-step explanation:
plz help asap
Find the length X
Answer:
x=8 that's the answer for the question
9 (4x - 6) = 2(-3 - 2x)
[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]
Helpppp!!
Drag each image to the correct location on the graph. Each image can be used more than once.
The following list shows the grams of fiber per serving for each flavor of oatmeal at a grocery store.
3, 6, 3, 4, 2, 4, 4
3, 5, 2, 1, 4, 1, 2
Create a histogram that correctly displays the data.
Answer:
The answer is 2, 6, 5, 1 for the Grams of Fiber.
Step-by-step explanation:
Does someone have this answer???? Thank you so much
Answer: 3
Step-by-step explanation:
We know that p(t) = 11:
11=2t+5
11-5=2t
6=2t
6/2 = t
3 = t
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Each friend will pay 13.60 dollars.
Step-by-step explanation:
68/5 is 13.6
There are 13 books on your shelf, and you will take 5 of them on vacation with you.
How many ways can the books be chosen?
Answer:
Important, funny and book about the place you are going?
if you add -10 to 4 times the mystery number you get 0 what is the mystery number?
Answer:
2.5
Step-by-step explanation:
2.5x4=10
10-10=0
A Science book has 428 pages, of which 47% are on biology, 28% on Chemistry and the remainder on Physics. How many pages on Physics are there?
Answer:
107 pages.
Step-by-step explanation:
100 - 47 - 28 = 25% are on Physics.
Number of pages on physics = 0.25 * 428
= 107.
Answer:
There are 107 pages devoted to physics.
Step-by-step explanation:
The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);
the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is
201 + 120, or 321.
Subtracting this subtotal from the book's 428 pages yields 107.
There are 107 pages devoted to physics.
Find a value c in the interval [0,3] such that f(c) is equal to the average value.
Answer:
1.5
Step-by-step explanation:
Numbers in the interval are 0, 1, 2 and 3
Average Value = (0+1+2+3)/4=1.5
The average value of the numbers in the interval {0,3} is 1.5.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Mean is defined as the ratio of the sum of the number of data sets to the total number of data.
Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.
The average of the numbers is calculated as,
Average Value = (0+1+2+3)/4
Average Value =1.5
Therefore, the average value of the numbers in the interval {0,3} is 1.5
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solve the following equations
A) 2 (A + 5) = 16
b) 4 p - 2/3 = 7/3
c) 3y/2 + 8 = (-4)
pls pls pls pls pls pls answer steps
Answer:
A. 2(a+5) = 16
2a + 10 = 16
2a = 16-10
2a = 6
2a÷2 = 6÷2
a = 3
B. 4p-2/3 = 7/3
4p = 7/3 + 2/3
4p = 3
4p÷4 = 3÷4
p = 3/4
C. 3y/2 + 8 = -4
3y/2 = -4 - 8
3y/2 = -12
[ 3y/2 = -12 ] 2
3y = -24
3y ÷ 3 = -24 ÷ 3
y = -8
[tex] \: \: \: \: \: [/tex]
A.) a = 3
B.) p = ¾
C.) y = -8
hope it helpsrefer to the attachment
[tex] \: \: \: \: \: \: \: \: [/tex]
Norachai was going to sell all of his stamp
collection to buy a video game. After
selling half of them he changed his mind.
He then bought seven more. How many did
he start with if he now has 25?
Which graph represents x ≥ 2?
Answer:
...
Step-by-step explanation:
A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −42 feet. What is the position of the scuba diver relative to the surface of the ocean? Choose from the drop-down menu to correctly complete the statement.
Answer:
The scuba diver is 27 feet below sea level.
-
Hope this will assist you.
The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.
Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:
42/2 + 6 = X 21 + 6 = X 27 = X
Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.
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Place numbers in bubbles so each row adds up to 100.
16,18,20,22,24,26,28,28,32,36
The numbers given can be placed in the bubbles in each row to sum up to 100 as shown in Figure 2 attached below. (See attachment).
The diagram (Figure 1) attached below shows the bubbles to be filled with the given numbers such that in each row, four of the numbers placed in the bubbles will add up to 100.
Hint:
Every row will have 4 numbers, 1 in each bubble which will give us 100.
The first row would be: 26 + 18 + 28 + 28 = 100The second row would be: 36 + 18 + 22 + 24 = 100The rest of the arrangement is shown in the figure 2 attached below. (See attachment).
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What is the equation of the line on the graph? Write your answer in slope-intercept form. (y = mx + b)
Don't forget to simply if you can!
Answer:
y= ⅔x -2
Step-by-step explanation:
slope-intercept form
y= mx +b, where m is the slope and b is the y-intercept.
Two given coordinates: (-3, -4) and (6, 2)
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
Slope
[tex] = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]
[tex] = \frac{2 + 4}{6 + 3} [/tex]
[tex] = \frac{6}{9} [/tex]
[tex] = \frac{2}{3} [/tex]
Substitute m= ⅔ into the equation:
y= ⅔x +b
From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).
Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.
When x= 6, y= 2,
[tex]2 = \frac{2}{3} (6) + b[/tex]
2= 4 +b
b= 2 -4
b= -2
Thus the equation of the line is y= ⅔x -2.
Please answer this question
Answer:
12 12 18 1816 2888
Step-by-step explanation:
Just add on top and subtract on bottom
if pepsi Bottles 8-pack or cans 12-pack 3 for $12.88 how much for 1 pack?
explain
Answer: $4.29?
Step-by-step explanation:
3 pack /3 = $12.88 /3
1 pack = 4 22/75 or approx $4.29
Which number is a zero of the given function?
g(x) = (x^2– 36) (x + 7)
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.
For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:
Setting the first factor, x² - 36, to zero:
x² - 36 = 0
Now, add 36 to both sides of the equation:
x² = 36
Next, take the square root of both sides:
x = ±√36
x = ±6
Setting the second factor, x + 7, to zero:
x + 7 = 0
Now, subtract 7 from both sides of the equation:
x = -7
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
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Solve for x
………………..
Someone please help me!
Answer:
$343.75
Step-by-step explanation:
$5.50 × 125 = $687.50 ÷ 2 = $343.75
Answer:
$343.75
Step-by-step explanation:
Multiply 5.50 by 125 hours to get the amount of money she has earned. Then since she saved half of it divide that amount which is $687.50 by 2 to get $343.75
In figure BC = CA and ∠A = 40°. Then ∠ACD is...
a)40° b) 80° c) 120° d) 60°
Answer:
B
Step-by-step explanation:
The size of the exterior angle in a triangle is the sum of interior opposite angles. In this case, it's
Angle ACD=40+40=80° (Exterior angle=sum of int. opp. angles)
Answer:
b. 80°
Step-by-step explanation:
B is 40°
A triangle has 180°
40 + 40 + x = 180
80 + x = 180
x = 100
Since it's a supplementary angle...
180 - 100 = 80
Simplify.
36x4y6z2
12xy8z2
Answer:
(36/12)×(4y/8y)×(z2/z2)×6×(x/x)=
3× 1/2 ×6
3/2×6=9
given the numbers -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6, which are rational numbers?
Answer:
-100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6
All the numbers
Step-by-step explanation:
A rational number is a number that can be expressed as in a fraction or decimal (m/n form)
All numbers above can be defined.
A rational number is a number that c\an be written in the form of p/q where q is not equal to zero.
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
We have,
-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6
-100 = -100/1
It is in the form of p/q.
It is a rational number.
-14.5 = -145/10
It is in the form of p/q.
It is a rational number.
-2 = -2/1
It is in the form of p/q.
It is a rational number.
-2/3 = -2/3
It is in the form of p/q.
It is a rational number.
0 = 0/1
It is in the form of p/q.
It is a rational number.
19 = 19/1
It is in the form of p/q.
It is a rational number.
15 = 15/1
It is in the form of p/q.
It is a rational number.
20 = 20/1
It is in the form of p/q.
It is a rational number.
1/6
It is in the form of p/q.
It is a rational number.
We see that all the numbers given are rational numbers.
Thus,
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
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5
8. The frequency distribution below summarizes employee years of service for Alpha Corporation. Determine the width of each class.
Years of service Frequency
1-5
6-10
20
11-15
25
16-20
10
21-25
5
26-30
The required class widths are 3, 8, 13, 18, 23 and 28
Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:
[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]
The width of each class is calculated by taking the midpoints of each of the class intervals as shown:
For the class interval 1 - 5
width = 1+5/2 = 3
For the class interval 1 - 5
width = 6+10/2 = 8
For the class interval 11 - 15
width = 11+15/2 = 13
For the class interval 16 - 20
width = 16+20/2 = 18
For the class interval 21 - 25
width = 21+25/2 = 23
For the class interval 26 - 30
width = 26+30/2 = 28
Hence the required class widths are 3, 8, 13, 18, 23 and 28
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Pls someone help me!!
Answer:
116°
Step-by-step explanation:
Interior angles in a triangle are added up to 180°.
Therefore,
(14x + 4)° + (5x - 1)° + (2x + 9 )° = 180°
Now you can solve this equation and find the value of x.
[tex](14x + 4) + (5x - 1) + (2x + 9 ) = 180[/tex]
[tex]14x+4+5x-1+2x+9=180[/tex]
[tex]14x+5x+2x+4-1+9=180[/tex]
[tex]21x+12=180[/tex]
[tex]21x=180-12[/tex]
[tex]21x=168[/tex]
[tex]\frac{21x}{21}= \frac{168}{21}[/tex]
[tex]x=8[/tex]
Now let's find the value of angle A
14x + 4
14 × 8 + 4
116°