Answer:
If I am not mistaken that looks like 6-1 which is 5 but I could be so let my know if I am correct
Step-by-step explanation:
The height above the surface of the Earth (in meters) of a rock thrown into the air at 10 m/s after x seconds is given by f(x)=−9.8x2+10x+1.5. On the surface of the moon, the height is given by g(x)=−1.6x2+10x+1.5. How much higher does the rock travel on the moon than on Earth? The rock travels about __ meter(s) higher on the moon than on Earth.
Answer:
Rock travels about 8.2x²meters higher on the moon than on the Earth.
Step-by-step explanation:
Expression showing the height of a rock thrown into the air at Earth is,
f(x) = -9.8x² + 10x + 1.5
Similarly, expression showing the height of rock thrown on the moon is,
g(x) = -1.6x² + 10x + 1.5
Difference in the height of the rock thrown on moon = g(x) - f(x)
= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)
= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5
= 8.2x²
Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.
Write a recursive rule for the sequence 4,10,16,22
Answer:
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6
Step-by-step explanation:
The terms have a common difference d between consecutive terms, that is
10 - 4 = 16 - 10 = 22 - 16 = 6
To obtain the next term add 6 to the previous term ( recursive rule ), thus
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 6 with a₁ = 4
Can someone help please?
Answer:
C
Step-by-step explanation:
If you reduce 21/28 you get 3/4 and if you reduce 12/16 you get 3/4 which makes them both proportional.
Which pair of numbers are relatively prime?
22 and 35
32 and 16
21 and 56
30 and 85
Answer:
22 35
Step-by-step explanation:
75 is % of 300 what is the answer
Answer:
25%
Step-by-step explanation:
A man drives 3 km east from home to the store and then 2 km west to a friend’s house. What is his displacement from his starting point at home?
Answer:
1 kilometer east
Step-by-step explanation:
if you subtract 2 from 3 you get one, plus it's east with the bigger number, so that's why it's one kilometer east
The displacement from his starting point at home is 1 km.
What is a vector?The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.
A man drives 3 km east from home to the store and then 2 km west to a friend’s house.
The term "displacement" refers to a shift in an object's location. It is a vector quantity with a magnitude and direction.
The displacement from his starting point at home is calculated as,
Displacement = 3 - 2
Displacement = 1
The displacement from his starting point at home is 1 km.
More about the vector link is given below.
https://brainly.com/question/13188123
#SPJ3
60% of a firm's employees are men. Suppose four of the firm's employees are selected. a. What is the random variable we can consider here? b. What is probability of finding three men and one woman? c. What is the answer for part if 75% of employees were men?
Answer:
60% of the employees are men.
Then the 40% left must be women.
4 of them are selected.
a) What is the random variable we can consider here?
A random variable is a variable that can have different outcomes or values, in other words, it is a stochastic variable.
We have a selection of 4 employees at random, then we can define the variable X, that represents (for each employee) the possibility of being man or woman.
b) Probability of 3 men and 1 woman.
Suppose that the selection is in the order:
man-man-man-woman.
We have:
0.6 tree times.
0.4 one time.
P = 0.6^3*0.4
But this is for the case where the woman is in the last selection, it can be in the first, second and third, then we have 4 permutations, the actual probability is:
P = 4*( 0.6^3*0.4) = 0.3456.
c) If now we have tat 75% are men, then 25% are women.
Now we can do the same as before, but now the probability for a man is 0.75 and for a woman is 0.25, then the previous equation is now:
P = 4*(0.75^3*0.25) = 0.421875
(a) The random variable will be "Men percentage".
(b) The probability of finding 3 men and one woman be "0.3456".
(c) The probability be "0.4219".
Probability(a) A random variable represents a variable which might have several occurrences as well as quantities; it is indeed a stochastic quantity.
If we choose four workers at random, users may create the variable X, which reflects the potential of someone being a male or even a woman.
(b) The probability be:
→ P(3 men and women) = [tex]4C_3[/tex] (0.6)³ (1 - 0.6)¹
= 0.3456
(c) The probability be:
→ P(3 men and women) = [tex]4C_3[/tex] (0.75)³ (1 - 0.75)¹
= 0.4219
Thus the response above is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
The function f(x) is translated left 3 units, down 2 units and is reflected across the x-axis to make the
new function g(x). Which of the following best represents g(x)
Answer:
2,3 is the paired fraction
Step-by-step explanation:
The area of a rectangle is modeled by the graph where y is the area (in square meters) and x is the width (in meters).
What dimensions result in the maximum area?
A rectangle_ meters by_ meters results in the maximum area.
Answer:
The dimensions that result in the maximum area are therefore;
Width = 3.5
Height = 3.5
Step-by-step explanation:
The given parameters are;
The area of the rectangle, y = x × h
Where;
x = The width of the rectangle
h = The height of the rectangle
By examination, we have;
x + h = 7
Therefore, x = 7 - h
Which gives;
y = x × (x - 7) = x² - 7·x
y = x² - 7·x
At x = 0, y = 0
At x = 7, y = 0
However, at x = 1, y = -6
Therefore, the function should be, y = -(x² - 7·x)
The maximum occurs where dy/dx = 0, which gives;
dy/dx = d-(x² - 7·x)/dx = 0
dy/dx = 2·x - 7 = 0
2·x - 7 = 0
x = 7/2 = 3.5
On second derivative, we have;
d²y/dx² = 2, which gives a local minimum
x = 3.5 at maximum height
Which give, the maximum height, [tex]y_{max}[/tex] = -(x² - 7·x) at x = 3.5
∴ [tex]y_{max}[/tex] = -(3.5² - 7×3.5) = 12.25
The maximum height = 12.25
The dimensions that result in the maximum area are therefore;
Width, x = 3.5
Height, h = 7 - x = 7 - 3.5 = 3.5
Height, h = 3.5.
Write a linear function f with f(-4) = 2 and f(6) =-3
Answer:
f(x) = - [tex]\frac{1}{2}[/tex] x
Step-by-step explanation:
The standard form for a linear function is
f(x) = ax + b
Using the given values f(- 4) = 2 and f(6) = 3 , then
- 4a + b = 2 → (1)
6a + b = - 3 → (2)
Subtract (2) from (1) term by term to eliminate b
- 10a = 5 ( divide both sides by - 10 )
a = - [tex]\frac{1}{2}[/tex]
Substitute a = - [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for b
Substituting into (1)
2 + b = 2 ( subtract 2 from both sides )
b = 0
Thus the linear function is
f(x) = - [tex]\frac{1}{2}[/tex] x
The linear function is f(x) = -0.5x
For f(-4) = 2
x₁ = -4, y₁ = 2
For f(6) = -3
x₂ = 6, y₂ = -3
The slope(m) is found using the formula
m = (y₂ - y₁)/(x₂ - x₁)
m = (-3-2)/(6-(-4))
m = -5/10
m = -0.5
Substitute m = -0.5, x₁= -4, and y₁ = 2 into the equation below:
y - y₁ = m(x - x₁)
y - 2 = -0.5(x - (-4))
y - 2 = -0.5(x + 4)
y - 2 = -0.5x - 2
y = -0.5x - 2 + 2
y = -0.5x
Therefore, the linear function is f(x) = -0.5x
Learn more here: https://brainly.com/question/17003809
In Mrs. Kee’s class there are 20 boys and 16 girls. 25% of her students wore a jacket to class. How many students wore a jacket to class?
Answer: 9
Step-by-step explanation: there are 36 students in total. Since 25% of students wore a jacket, you would multiply 36 by 1/4 which gets you 9, so 9 students wore jackets
whoever answers all correctly gets a brainliest.
if you answer incorrectly, I steal all your points.
if you look at the questions and leave, I will steal all your points.
if you answer with something like 'bfdiydf' or 'i don't know sorry' i will steal your points.
A large container holds 5 gallons of water. It begins leaking at a constant rate. After 10 minutes, the
container has 4 gallons of water left.
Part 1 out of 2
At what rate is the water leaking? Express your answer as a positive value.
The water is leaking at the rate of
gal/min.
Answer:
2/5 or 0.4
Step-by-step explanation:
This is simplified. For the question 4/10 .
Describe the roots of x2 + 6x + 9 = 0
Answer:
x2+6x+9=0
x^2+3x+3x+9=0
x(x+3)+3(x+3)=0
x=-3 twice
Please hurry!! (But no rush, thank you)
Answer:
The answer is d 3 to the power of 108
Answer:
c
Step-by-step explanation:
:) srry if its wrong
I need help ASAP answer both questions please show work
Answer:
3. <BAC = <BCA
so,
x+x+36° = 180°
=>2x + 36 = 180
=>2x = 180–36
=>2x = 144
=>x = 144/2
=>x = 72°
Order each set of numbers from least to greatest {7 , 9 √50, √85
Answer:
7,√50,9,√85
Step-by-step explanation:
The square root of 50 is 7.071 if you round to the nearest thousandth. The square root of 85 is 9.220. From least to greatest is 7,√50,9,√85
Find the product of 4^2 x 3 ^6
Answer: 11664
I think
Answer:
11,664
Step-by-step explanation:
4^2 x 3^6
16 x 729
11,664
Can someone help me
m < 1 = 130°
m < 1 = 130°m < 2 = 50°
We know this is a linear pair, therefore the two angles must add up to 180°
[tex](m < 1 )+ (m < 2 )= 180[/tex]
[tex]5x + x + 24 = 180[/tex]
Combine like terms
[tex]6x + 24 = 180[/tex]
Isolate the variable
[tex]6x = 156[/tex]
[tex]x = 26[/tex]
Plug in 26 for x in both of the individual angle equations.
[tex]m < 1 = 5x[/tex]
[tex] = 5(26)[/tex]
[tex] = 130[/tex]
[tex]m < 2 = x - 24[/tex]
[tex] = (26) + 24[/tex]
[tex] = 50[/tex]
A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.
I hope this helped. Let me know if you have any questions!
Lin read 44 pages in 132 minutes. Diego read 35 pages in 140 minutes. Who is reading at a faster rate, Lin or Diego? Show and Explain your reasoning.
Answer:
Diego
Step-by-step explanation:
divide 132 minutes by 44 pages and you get 3 pages per minute, then divide 140 minutes by 35 pages and you will get 4 pages per minute. so Diego reads 1 more page a minute than lin. hope i helped you :)
2.4(x - 6) = -5.6x + 8
Let's solve your equation step-by-step
2.4(x-6)=-5.6x+8
Step 1: simplify both sides of the equation
2.4(x-6)=-5.6x+8
(2.4)(x)+(2.4)(-6)=-5.6x+8 (distribute)
2.4x+-14.4=-5.6x+8
2.4x-14.4=5.6x+8
Step 2: Add 5.6x to both sides.
2.4x-14.4+5.6x=-5.6x+8+5.6x
8x-14.4=8
Step 3:Add 14.4 to both sides
8x-14.4+14.4=8+14.4
8x=22.4
Step 4 : Divide both sides by 8
8x/8 =22.4/8
Answer : x=2.8
Katie has a doll house that is a small model of a real Victorian house. The real house has a rectangular window that measures 65 centimeters long by 45 centimeters wide. The length of the window in Katie's house is 13 centimeters long. How wide is the window in Katie's house?
Answer:
9
Step-by-step explanation:
65/13=5
45/5=9 The answer is 9
Which of the following scenario could be represented by 2/5?
Answer: C
Step-by-step explanation: 2 is the numerator so you are dividing 2 by the denominator which is 5. Equation 2/5. So you can cross out A and B because they start with 5 and we need one that starts with 2. Then you can't divide people so your answer would be C because everything can be divided correctly.
What's the slope and y-intercept of the 2 points: (1, -7) (-5, 0)
Answer:
Slope is -7/6. Y - intercept is -35/6
Step-by-step explanation:
Hope this helps!
answer for 5 stars pls I need it quick
Answer:The answer is 1/x^12y
Step-by-step explanation:
May you please help me with my geometry.
Answer:
uhm
Step-by-step explanation:
Solve for j.
j² − 36 = 0
Write your answers as integers or as proper or improper fractions in simplest form.
j =
or j =
Answer:
( J - 6 ) × (J + 6 )
Step-by-step explanation:
j^2 -6^2
( J - 6 ) × ( j + 6 )
Simplify
6 minus the square root of 25 over 4
I would appreciate some help :)
If anyone can read my teachers bad handwriting, please help me it is 1:30 in the morning and if someone does this for me I will be giving them a cookie and hugs::):):)
Answer:
she wrote: (3,1) (6,1) (6,4)
1 step one R (X-axis) --> step two R (180°,0) --> step three R (Y-axis)
(I honestly have no clue what she is doing but, its stupid)
Q4: Tell whether side lengths (4, 2, 5) form a Right Triangle.
Yes they would form a right triangle you can figure this out by adding the two smaller values and if that is equal to a larger number then the larger number then it is a right triangle
