Answer:
Matt was paid an average of $10 per hour of babysitting for the day.
Step-by-step explanation:
He babysat in the morning for 3 hours being paid $10 per hour. He later babysat in the evening for 5 hours being paid $20 per hour. Since he was being paid two different amounts throughout the day, the average would be $10. He was being paid atleast $10 per hour for babysitting because even though he was being paid $20 in the evening, the lowest amount of money that he was paid, was $10 making that the average.
A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and a height of 60 centimeters. If the company used 54,259.2 cm ^3 of steel, how many rods did it make?
Answer:
ok
Step-by-step explanation:
Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of f(4) − f(2)? ______≤ f(4) − f(2) ≤ ______
Answer:
[tex]8 \le f(4) - f(2) \le 10[/tex]
Step-by-step explanation:
Given
[tex]4 \le f'(x) \le 5[/tex]
Required
Determine the minimum and maximum value of f(4) - f(2)
This question will be answered using the following mean value theorem.
[tex]f'(x) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case: [tex]b = 4[/tex] and [tex]a = 2[/tex]
So, we have:
[tex]f'(x) = \frac{f(4) - f(2)}{4 - 2}[/tex]
[tex]f'(x) = \frac{f(4) - f(2)}{2}[/tex]
Make f(4) - f(2), the subject:
[tex]f(4) -f(2) = 2 * f'(x)[/tex]
From the given range: [tex]4 \le f'(x) \le 5[/tex]
We have that; f'(x) is at minimum at 4
So, the minimum of f(4) - f(2) is:
[tex]f(4) -f(2) = 2 * 4[/tex]
[tex]f(4) -f(2) = 8[/tex]
We have that; f'(x) is at maximum at 5
So, the maximum of f(4) - f(2) is:
[tex]f(4) - f(2) = 2 * 5[/tex]
[tex]f(4) - f(2) = 10[/tex]
Hence, the minimum and maximum values can be expressed as:
[tex]8 \le f(4) - f(2) \le 10[/tex]
Joseph poured 1 liter of orange juice equally into 10 plastic cups how many mil liters are in each cup
A line is drawn so that it passes through the points (-5,-3) and (-7,-5). What is the slope of the line?
Answer:
1
Step-by-step explanation:
The required slope of the line is 1 which passes through the points (-5, -3) and (-7, -5).
What is the slope of the line?The slope of a line is defined as the change in the y-coordinate (the "rise") divided by the change in the x-coordinate (the "run").
To determine the slope of the line that passes through the points (-5, -3) and (-7, -5), we can use the formula:
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let
x₁ = -5, y₁ = -3
x₂ = -7, y₂ = -5
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Plugging in the coordinates of the two points, we get:
slope = (-5 - (-3)) / (-7 - (-5))
Simplifying this expression gives us:
slope = -2 / -2
Which simplifies to:
slope = 1
Therefore, the slope of the line that passes through the points (-5, -3) and (-7, -5) is 1.
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HELP PLZ WILL GIVE BRAINLYEST
Answer:
Light blue
Step-by-step explanation:
Answer:
x ≥ -5
Step-by-step explanation:
a drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum
Answer:
I believe the answer would be 186
Step-by-step explanation:
241-55=186
Kyle uses a school gym to run a weekly yoga class. He must pay the school a fee for the use of the gym. Each person who comes pays x dollars. The amount of profit Kyle makes can be represented by the expression:
nx−d
What does the term nx represent?
A
the fee for the use of the school gym
B
the number of people in the yoga class
C
the cost of the yoga class for each person attending the class
D
the total money Kyle collects from people attending the class
Answer:
I believe it is D
Step-by-step explanation:
The entire equation y=nx-d means that d is the fee Kyle pays the school. SO that means that nx is the amount of money he earns from the people attending a yoga class.
Term nx represents the total money Kyle collects from people attending the class.
What is linear equation in one variable?
" Linear equation in one variable represents straight line and it is a equation in one variable in which degree of the given variable is equals to one. General form is written as ax + b =0."
According to the question,
x represents fees paid by each person for yoga class.
Condition is Kyle has to pay a fee for the use of gym.
It mean gym fees would be deducted from her earned fees from yoga class.
Therefore , d represents gym fee.
n represents number of people comes for yoga class.
From the given condition it is a linear equation in one variable,
Therefore, nx represents amount Kyle collects from people attending the class.
Hence, Option (D) is the correct answer.
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Kyle's home is located at point (0 , 0). Kyle travels up for 5 miles, right for 6 miles, down for 10 miles, left for 6 miles, and finally up again for 5 miles. What is Kyle's new location? *
A. (0,0)
B. (−1,0)
C. (0,−1)
D. (12,20)
Answer: i think 1,0
Step-by-step explanation:
Please help!
Select the correct answer.
which statement best describes the zeros of the function h() = (x-4)(x-7x+ 10)
O A. The function has four complex zeros.
O B. The functlon has three distinct real zeros.
O C. The function has two distinct real zeros and two complex zeros.
O D. The function has four distinct real zeros.
Answer:
The zeros are:
[tex]x =4, x=2, x = 5[/tex]
The function has three distinct real zeros.Hence, option (B) is true.
Step-by-step explanation:
Given the expression
[tex]h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)[/tex]
Let us determine the zeros of the function by putting h(x) = 0 and solving the expression
[tex]0=\left(x-4\right)^2\left(x^2-7x+10\right)[/tex]
switch sides
[tex]\left(x-4\right)^2\left(x^2-7x+10\right)=0[/tex]
as
[tex]x^2-7x+\:10=\left(x-2\right)\left(x-5\right)[/tex]
so
[tex]\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0[/tex]
Using the zero factor principle
[tex]\mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]so
[tex]x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]
[tex]x =4, x=2, x = 5[/tex]
Thus, the zeros are:
[tex]x =4, x=2, x = 5[/tex]
It is clear that there are three zeros and all the zeros are distinct real numbers.
Therefore,
The function has three distinct real zeros.Hence, option (B) is true.
For y=4x-3, find the
domain value when
the range is 17.
I NEED IT ASAP WILL GIVE BRIANIEST
Answer:
X=5
Step-by-step explanation:
Which number is an integer?
-3/4
0
2.3
On a family road trip, Mr. Peters travels 130 miles in 2 hours. At this rate, how many miles will he travel in 30 minutes? (HINT - turn 30 minutes into 1/2 an hour or a decimal 0.5 hours)
Answer:
15 miles in 30 minutes
Step-by-step explanation:
130/2=65 miles per hour
30/2=15
Find the value of 3(ab)^2 if a=2 and b=-1
Answer:
12
Step-by-step explanation:
3 (2*-1)^2
3*-2^2
3*4
12
The carter family budgets a total of 2,700 for a ski vacation in Colorado if they plan to go spend 275$ per day and 1,000 on meals about how many days n can the carter family go on vacation ?
Answer:
275n + 1000 = 2700
They will go 6 days on vacation.
Step-by-step explanation:
Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:
1000 + 275n = 2700
275n = 2700 - 1000
n = 1700/275
n = 6.18
Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.
The radius of the sphere is 9 inches. Which equation can be used to find the surface area of the sphere?
Answer:
Option (2)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area = 4πr²
Here 'r' = Radius of the sphere
We have to calculate the surface area of a sphere with radius r = 9 inches.
By substituting the value of r in the formula,
S = 4π(9)²
Therefore, Option (2) will be the correct option.
Answer:
B. S = 4 pi r squared = 4 pi (9) squared
which value completes the table?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Plug in -3 to t^2-3
-3^2-3
9-3
6
A is the only answer that has 6. So your answer would be A
A certain computer can perform a maximum number of operations per second. If this computer is running at 23% of the maximum and is performing 105 operations per second, what is the maximum number of operation the computer can perform per second
Answer:
I believe 457 operations
Question 23 geometry
Your uncle purchases a $25,000 car this year. The car depreciates in value by 20% per year.
a) Write an exponential equation for the value of the car.
b) Use your equation to find the value of the car in 10 years.
c) When will the car be worth $10,000? Solve an equation with logarithms and show your work.
Answer:
b
Step-by-step explanation:
Given vectors u = ⟨–2, 1⟩ and v = ⟨4, –2⟩, which statement is true concerning u and v? The vectors form an obtuse angle of approximately 93°. The vectors form an obtuse angle of approximately 96°. The vectors form an obtuse angle of approximately 127°. The vectors point in opposite directions.
Answer:
D) The vectors point in opposite directions.
Step-by-step explanation:
got it right on edge :)
see graph below
Given vectors u = (-2,1) and v =( 4, -2) represents the vectors point in opposite directions.
What is vectors?
"Vectors is a quantity which gives us both magnitude and direction of the given quantity."
According to the question,
Given vectors u(-2,1) and v(4,-2) represented on the graph.
From the graph we conclude that given vectors u and v
Does not form obtuse angle of approximately 93° , 96° or 127°.
The vector 'u(-2,1)' is in second quadrant and v(4,-2) is in fourth quadrant.
Second quadrant and fourth quadrant are in opposite direction.
Hence, we conclude the vectors point in opposite directions.
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please help me asap and
Answer:
you have it right! 3x - 4= 23
Answer: 3x-4 = 23
Step-by-step explanation:
Cos ik
Need help with stats
whats the slope of a perpendicular line that passes through the lines (29,24) and (3,4)
eric mows 1/5 acre in 1/4 hour. how many acre does paige mow per hour
Answer:
2/3
Step-by-step explanation:
What is the value of f(g(1))?
Answer:
1 is the answer
Step-by-step explanation:
just took the test.
The value of f(g(1)) is 1.
Option (D) is correct.
It is given that f(x)=3[tex]\sqrt{x}[/tex] +1.
To find value of f(g(1)).
What is function?A function is defined as a relation between a set of inputs having one output each.
The given f(x)=3[tex]\sqrt{x}[/tex] +1
at g(1)=0
f(g(1))=3[tex]\sqrt{0}[/tex] +1
f(g(1))=1
So, the value of f(g(1)) is 1.
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The definition of similarity in terms of similarity transformations states that two figures are
similar if and only if there is a compositon of rigid motion and dilation that maps one figure to
the other. Suppose triangle ABC~triangle DEF. Explain how this definiton ensures:
1. The equality of all corresponding pairs of angles.
2. The proportionality of all corresponding pairs of sides.
PLEASE HELP
Most living things need oxygen to survive you breathe in oxygen and it is carried to this Organ. here the red blood cells pick up the oxygen and carry the oxygen to all the body cells that need it what is this organ
Answer:
The lungs
Step-by-step explanation:
becuase biology
Write an equation for the line that passes through (2,-1) and is parallel to the line y= 3x+8?
Answer:
y= 3x + 5
Step-by-step explanation:
If it is parallel it has the same slop so we know mx = 3x
then solve for b
-1 = 3(2) + b
-1 = 6 + b
5 = b
please help i’m lost on this question!!!
Answer:
maybe the first one sorry if its wrong
Step-by-step explanation:
answers
|x-3|
-|x+3|
-|x-3|
|x|+3
Answer:
B) -|x+3|
Step-by-step explanation:
Use the equation y=a|x-h|+k
a=-1 since the graph opens downwards with no stretch or shrink
h=-3 since the horizontal shift is 3 units right
k=0 since there's no vertical shift
Therefore, our equation is y=-|x+3| making B the correct answer