Answer:
Here is the mpg for each 6 cylinder:
(23), (24), (30), (23) ,(21), (20) ,(23), (21) ,(23), (22)
i : between 20-24 = 9/10
ii between 25-29 = 0/10
iii at least 30 mpg = 1/10
c- 38, 28,25,26,24,25
d- the mileage of six cylinder car is less than the mileage of four cylinder cars using the same amount of fuel. it is somehow accurate, other factor that affects is the model of the car and how big it is.
George is reading a book. At the end of 3 hours he has read 90 pages, and at the end of 5
hours he has read 238 pages. What is the average rate of change? Type your numerical
answer below.
Answer:
74 pages/hour
Step-by-step explanation:
The average rate of change is the difference in the numbers of pages divided by the difference in the numbers of hours.
At the end of 3 hours, 90 pages were read.
At he end of 5 hours, 238 pages were read.
Difference in hours: 5 hours - 3 hours = 2 hours.
Difference in pages: 238 pages - 90 pages = 148 pages
The average rate of change is the difference in pages divided by the difference in hours.
average rate of change = (148 pages)/(2 hours) = 74 pages/hour
Sofia is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Sofia uses when knitting a scarf?
Answer:
[tex]5b=2r[/tex]
Step-by-step explanation:
Given: For every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn
To find: equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r
Solution:
As for every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn,
number of pieces of blue yarn / number of pieces of red yarn = [tex]\frac{18}{45}=\frac{2}{5}[/tex]
[tex]\frac{b}{r}=\frac{2}{5}\\ 5b=2r[/tex]
Therefore,
equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r is [tex]5b=2r[/tex]
Which equation illustrates the commutative property of addition?
12 + 6 + 15 = 12 + 15 + 6
12 + 6 + 15 = 12 + (6 + 15)
12 + 6 + 15 = 18 + 15
12 + 6 + 15 = 12 + 6 + 15
Answer:
12 + 6 + 15 = 12 + 15 + 6
Hope this helps :D
The bridge over the river has a weight limit of 12.65 tons to cross it. The truck weighs 10.89 tons. How many tons is the truck under the weight limit
Answer:
1.76 tons
Step-by-step explanation:
12.65 minus 10.89 is equal to 1.76. If you have a calculator, you can use that to solve addition, subtraction, multiplication, and division problems.
What is the area of the parallelogram?
A. 39. 20 cm2
B. 39.33 cm?
c. 56.58 cm2
D. 78.66 cm2
E. 93.48 cm2
Answer:
D
Step-by-step explanation:
A=bh
A=11.40*6.90
A=78.66 cm^2
Answer:
base x height = area
6.9 x 11.4 = 78.66
D. is the answer
Hope this helps
Step-by-step explanation:
What is the height of the pyramid??
A cone has a radius of 9 cm and a height of 10 cm . The volume of the cone is___ π cm3 .
Create a two column proof for each question. Please help!!
Answer:
In this way it is proved
IVE BEEN STUCK ON THIS QUESTION CAN I PLEASE GET SOME HELP I WOUDL APPRECIATE IT THANK YOU
Answer:
B. 3x² -17
Step-by-step explanation:
f(x)= 3x+1
g(x)= x² -6
(f °g)(x) =f(g(x)) so plug in in f for variable x²-6
(f °g)(x) = 3(x² -6) +1 =3x² -18 +1 = 3x² -17
someone please help me !!!
Answer:
x = 120°
Step-by-step explanation:
The equation is given to you:
The sum of the interior angles can be found using the equation:
Sum = (n - 2)180
Note that:
n = # of sides.
Plug in 6 for n in the equation.
∑ = (6 - 2)180
First, solve for the parenthesis:
∑ = (4)180
Next, multiply:
∑ = 4 * 180
∑ = 720
You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:
720/6 = 120
120° is your answer.
~
Answer:
the answer is 120 degrees
True of False: The graph of a rational function R never intersects a vertical asymptote. True or False: The graph of a rational function R never intersects a horizontal asymptote. True or False: The graph of a rational function R never intersects an oblique asymptote.
Answer:
All true
Step-by-step explanation:
By definition, an asymptote is a line at which the values of the function approach but never reach as one or both of the x or y coordinates tends to positive or negative infinity. Therefore, the graph of a rational function R never intersects any of its asymptotes.
The cost to purchase a movie from Move Time is 3.00 per movie as well as a 10.00 membership fee. To purchase a movie from Movie City, the membership fee is 30.00 and every downloaded movie is 2.00. How many downloaded movies must be purchased for the monthly price to be the same. (Can someone turn this into an equation for me?)
Answer:
20
Step-by-step explanation:
Let x represent the number of movies bought/downloaded
3x + 10 = 2x +30
Subtract 2x and 10 from both sides
x = 20
Answer:
3x + 10 = 2x + 30
Step-by-step explanation:
Let the number of movies downloaded = x
Movie time:
3x + 10
Movie city:
2x +30
3x + 10 = 2x + 30
3x -2x = 30 - 10
x = 20
Duane recorded the temperature outside his window one morning. On the second day,
the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees.
On the fourth day, the temperature went down 6 degrees, and it was 1°F.
What was the temperature on the first day?
A. 0°F
B. 17°F
C. 10°F
D. 7°F
Answer:
C
Step-by-step explanation:
[tex]day 2 = +7\\\\day3 = -10\\\\day 4 = -6\\\\FinalDay = 1[/tex]
so [tex]start +7 -10-6 = 1\\ \\start = 10[/tex]
which inequality is represented by this graph
Answer:
im pretty sure the second option is correct
Step-by-step explanation:
the open circle means the is greater than or equal to
since the arrow is pointing to the right that means that x is greater than
What is 30% of 200? Round to the nearest hundredth (if nec
necessary).
Answer:
60%
Step-by-step explanation:
30/100×200=60%
exactly 60 that's the answer
WILL MARK BRAINLIEST! A pattern for a sequence is described as 'start with 12 and divide by −4 repeatedly'. Is this a geometric sequence? Explain. I only need like 2 sentences, at most a full paragraph.
Answer:
yes
Step-by-step explanation:
Yes, since 12 is multiplied by (-4)^-1 every time, and the definition of geometric sequence is that the first term has to be multiplied by a certain other constant number (referred to as common ratio (r)). The formula for a geometric sequence is An=A1R^(n-1)
Use the discriminant to determine the number of real solutions to the quadratic equation. −u2+2u−5=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answer: None, 0 real roots
Step-by-step explanation:
To find the discriminant, you simply do [tex]b^2 - 4ac[/tex]
b = 2
a = -1
c = -5
[tex]2^2-4(-1)(-5) = 4 - 20 = -16[/tex]
iff x > 0: 2 roots
iff x < 0: none
iff x = 0: 1 root
Actual Explanation and Intuition behind it:
If the answer is negative, you cant take the square root of the number. Because no matter what, you will always strive for a positive number. Unless you implement calculus, but that is way beyond a middle schoolers level
If the answer is postive, there will be 2 roots because you can make x itself equal to a negative number because when you square it, it will be positive. So the positive and negative value will be an acceptable answer
If the answer is 0, then youre basically doing the square root of 0. Thats equal to 0
The discriminant formula itself comes straight from the quadratic formula, which you should memorize because it is extremely useful.[tex]\frac{-b (+/-) \sqrt{b^2-4ac} }{2a}[/tex]
In a sequence, the first term is 4 and the common
difference is 3. The fifth term of this sequence is
1) -11
2) -8
3) 16
4) 19
Answer:
16
Step-by-step explanation:
Apply the arithmetic series formula, with A=4, d=3 and n=5 as n represents the number of terms.
An = A+(n-1)d
This shows that: A5 = 4+ 4(3) = 16.
Fifth term of the arithmetic sequence is 16.
What is arithmetic sequence?"Arithmetic sequences are ordered sets of numbers that have a common difference between each consecutive term."
Given
First term a1 = 4
Common difference d = 3
n = 5
Formula to find fifth term in the arithmetic sequence
[tex]a_{5} = a_{1} +(n-1)d[/tex]
[tex]a_{5}= 4+(5-1)3[/tex]
[tex]a_{5}= 4+(4)3[/tex]
[tex]a_{5}= 4+12[/tex]
[tex]a_{5}= 16[/tex]
Hence, fifth term of the arithmetic sequence is 16.
Learn more about arithmetic sequence here
https://brainly.com/question/15412619
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2 root 2 minus root 2
Answer:
√ 2 or in decimal form 1.4
Have a nice day! :)
Simplify x^-3*(y^8*z^5)/x^-2*y^-7*-6
If f(x) = 3/x+2-/x-3, Complete the following statement: The domain of for f(x) is all real numbers _____ than or equal to 3
Answer:
Step-by-step explanation:
Answer:
Greater
Step-by-step explanation:
because Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number.
Find the value of x from this question
Answer:
45 degrees
Method: Parallel
Determine the value of y in the figure, and identify whether the triangle is isosceles or equilateral. answers: y = 30°; equilateral y = 30°; isosceles y = 60°; equilateral y = 60°; isosceles
Answer: equilateral y=60
Step-by-step explanation:
The sum of all the angles in a triangle add up to 180 degrees. So, because you have the angle measurement of two sides, you can set up an equation to solve for the third side: 60+60+x=180 (do the math and you end up with y=60)
And because all three of the angle measures are equal, the triangle is defined as an equilateral triangle.
The value of y is 60° and the given triangle is Equilateral.
What are Triangles?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
We have a triangle where one of the angle is unknown.
Sum of the interior angles of a triangle is 180 degrees.
60° + 60° + y° = 180°
120° + y° = 180°
y° = 180° - 120°
y° = 60°
Equilateral triangles are those triangles whose all sides and all angles are equal.
Isosceles triangles are those whose 2 sides or 2 angles are equal.
Since all angles are equal to 60° here, this is an equilateral triangle.
Hence the given triangle is an equilateral triangle with the unknown angle equals 60°.
Learn more about Triangles here :
https://brainly.com/question/2773823
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to determine the inverse of the given function change f(x) to y switch and y and solve for
Answer:
x, y, 4, 0
Step-by-step explanation:
To determine the inverse of the given function change f(x) to y switch x and y and solve for y.
f(x) = sqrt(x - 4)
y = sqrt(x - 4)
x = sqrt(y - 4)
x^2 = y - 4
x^2 + 4 = y
y = x^2 + 4
The domain of the inverse is the same as the range of the original function.
inverse f(x) = x^2 + 4
x^2 + 4 >= 4
x^2 >= 0
x >= 0
The resulting function can be written as inverse f(x) = x^4 + 4, where x >= 0.
Answer:
x, y, 3, and 0
Please answer this question
Answer:
a = - 2, b = - 1
Step-by-step explanation:
If a polynomial f(x) is divisible by (x + h) then f(- h) = 0
P(x) is divisible by (x + 1), thus P(- 1) = 0 , that is
P(- 1) = (- 1)³ + a(- 1)² - b + 2 = 0 , that is
- 1 + a - b + 2 = 0
a - b + 1 = 0 ( subtract 1 from both sides )
a - b = - 1 → (1)
P(x) is divisible by (x - 2) thus P(2) = 0 , that is
P(2) = 2³ + a(2)² + 2b + 2 = 0 , that is
8 + 4a + 2b + 2 = 0
4a + 2b + 10 = 0 ( subtract 10 from both sides )
4a + 2b = - 10 → (2)
Solve (1) and (2) simultaneously
Multiply (1) by 2
2a - 2b = - 2 → (3)
Add (2) and (3) term by term eliminating the term in b
6a = - 12 ( divide both sides by 6 )
a = - 2
Substitute a = - 2 into (1) and solve for b
- 2 - b = - 1 ( add 2 to both sides )
- b = 1 ( multiply both sides by - 1 )
b = - 1
Solve the equation.
r^4/7=16
Answer:
use the indices formula
Find the length of the hypotenuse in each right triangle. Round to the nearest tenth, if necessary
12.1 ft
14.7 ft
245 ft
15.7 ft
Which of these statements is true for f(x) =
- (3)
A. The range of (x) is y to
B. The domain of fx) is x > 0.
C. It is always increasing
D. The graph contains
Estelle bought 7.2 pounds of oatmeal and gave 6.1 pounds of it to a neighbor. How much
oatmeal does Estelle have left?
pounds
Answer:
1.1
Step-by-step explanation:
7.2-6.1
The circumference of a standard centre circle on a football pitch is
57.43m. What is its radius?
Answer:
9.14 m
Step-by-step explanation:
r=C
2π=57.43
2·π≈9.14027
____________________________
Solution,
Circumference of circle=57.43m
Radius=?
Now,
Circumference of circle=2 pi r
or,57.43=2*3.14*r
or,57.43=6.28*r
or,r=57.43/6.28
r=9.14 m
It's radius is 9.14m
Hope it helps
Good luck on your assignment
___________________________