Answer:
[tex]M(h) = 7.50h + 50[/tex]
Step-by-step explanation:
Let's first get our variables straight. M is how much money you make each night, and h is the amount of hours she works.
This means that M will be what our function is equal to, aka the y-axis. h will be the x-axis.
We know that you earn a rate of $50 per night through tax, and your hours worked doesn't influence this in any way. That means there will be a constant on this function, +50.
We also know that you earn 7.50$ per hour, which is directly influenced by how many hours you work, so we will have [tex]7.50h[/tex].
Combining this all together, we get
[tex]M(h) = 7.50h + 50[/tex].
Hope this helped!
Passing through (2,-1) and (3, -3).
-2 is the slope if that's what's asked ?
Which expression is equivalent to 5x + 2 - x + 10?
Answer:
4x +12
Step-by-step explanation:
[tex]5x + 2 - x + 10\\\\\mathrm{Group\:like\:terms}\\=5x-x+2+10\\\\\mathrm{Add\:similar\:elements:}\:5x-x=4x\\=4x+2+10\\\\\mathrm{Add\:the\:numbers:}\:2+10=12\\=4x+12[/tex]
the sum of three consecutive integers is 267. What is the largest integer?
Answer: 90
Step-by-step explanation:
We first need to find three consecutive numbers that adds up to 267. We know that the numbers will be somewhat close to 100 because the sum needs to be past 250.
Let's try 85,86,87.
85+86+87=258
258 is very close to 267. We know that we need to increase our numbers.
Let's try 88,89,90.
88+89+90=267
88,89, and 90 added together gives us 267. The question asks for the largest integer. In 88, 89, 90, 90 is the largest integer.
HELP One-third (x minus 2) = one-fifth (x + 4) + 2
How do you know if a given relation is a function or not a function?
Answer:
You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function
Measuring Segments
Use the difference quotient to calculate the average rate of change across the following intervals. Difference quotient of d(t): 3t^2 + 5th – 2
The interval 2 to 3:
The interval 2 to 2.5:
The interval 2 to 2.1:
Answer:
Ok, we have:
d(t) = 3*t^2 + 5*t - 2.
The first interval is:
(2, 3)
and remember that, for an interval (a,b), the difference quotient is:
D = (f(b) - f(a))/(b -a)
Then in this first interval we have:
[tex]d = \frac{d(3) - d(2)}{3-2} = \frac{3*3^2 + 5*3 - 2 - (3*2^2 + 5*2 - 2)}{1} = 20[/tex]
So the average rate of change in (2,3) is 20.
now, in (2, 2.5) we have:
[tex]d = \frac{d(2.5) - d(2)}{3-2} = \frac{3*2.5^2 + 5*2.5 - 2 - (3*2^2 + 5*2 - 2)}{1} = 9.25[/tex]
So here the rate of change is 9.25
And in the interval (2, 2.1) we have:
[tex]d = \frac{d(2.1) - d(2)}{3-2} = \frac{3*2.1^2 + 5*2.1 - 2 - (3*2^2 + 5*2 - 2)}{1} = 1.73[/tex]
So in this interval the rate of change is 1.73
Answer:
2 to 3 is 20
2 to 2.5 is 15
2 to 2.1 is 11
Step-by-step explanation:
I got this question right on EDGE 2023
A cereal manufacturer has a tolerance of .75
oz for a box of cereal that is supposed to weigh
20 oz. Write and solve an absolute value
inequality that describes the acceptable weights
for a 20 oz box.
let the absolute weight of the box of cereal be X
20-0.75 ≤ x ≤ 20+0.75
19.25 ≤ x ≤ 20.75
A baby weighs 115 ounces. What is the baby's weight in pounds and ounces? *Plz explain your answer*
Answer:
7 pounds 3 ounces
Step-by-step explanation:
There are 16 ounces in a pound. In order to convert ounces to pounds, we need to see how many 16s fit into 115 (how many full pounds can be made with 115 ounces) and add the remainder as ounces. To do this we can do long division (which gives us 7 remainder 3), or we can divide 115 by 16 (=7.1875) and convert the decimal places to ounces by multiplying 0.1875 pounds (the remainder) by 16 (as there are 16 ounces in pound) which gives us 3 ounces.
So 115 ounces is equal to 7 pounds and 3 ounces.
Hope this helped!
The baby's weight is 7 pounds and 3 ounces.
To convert ounces to pounds, we need to divide the number of ounces by the conversion factor, which is 16. There are 16 ounces in 1 pound.
Let's denote the baby's weight in ounces as W oz, the weight in pounds as W lb, and the remaining ounces as Roz.
W oz = 115 ounces
W lb = ?
R oz = ?
First, we divide the total number of ounces by 16 to find the number of pounds:
W lb = W oz / 16
= 115/ 16
= 7.1875 pounds
So, the baby weighs 7 pounds.
To determine the remaining ounces, we multiply the decimal portion of the pounds (0.1875) by 16:
R oz = 0.1875 x 6
R oz= 3 ounce
So, the baby weighs an additional 3 ounces.
Therefore, the baby's weight is 7 pounds and 3 ounces.
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Question 6 of 10
It takes a person 35 seconds to swim in a straight line from the east end of a
pool to the west end of the pool, a distance of 50 meters. What is the
swimmer's velocity?
A. 1.4 m/s west
B. 1.4 m/s east
C. 0.7 m/s west
D. 0.7 m/s east
Answer:
Swimmer's velocity = 1.4 m/s west (Approx)
Step-by-step explanation:
Given:
Total time taken = 35 seconds
Total displacement to west = 50 meter
Find:
Swimmer's velocity
Computation:
Swimmer's velocity = Total displacement to west / Total time taken
Swimmer's velocity = 50 / 35
Swimmer's velocity = 1.428
Swimmer's velocity = 1.4 m/s west (Approx)
Answer:
approximately 1.4 m/s west
yeeeeeeeeeeet
rounded to the nearest hundredth thousandth the number 0.00006334 is
Answer:
0.......................
If 3x-8=-2 fins the value of x-6
Steps to solve:
3x - 8 = -2; x - 6
~Substitute
3(x - 6) = -2
~Distribute left side
3x - 18 = -2
~Add 18 to both sides
3x = 16
~Divide 3 to both sides
x = 16/3
Best of Luck!
The data below are the speeds of the fastest 5 roller coasters in north america what is the mean absolute deviation (mad) of the 5 speeds in north america? 128, 120 , 100, 95, 92
Answer:
92, 95, 100, 120, 128
Step-by-step explanation:
92, 95, 100, 120, 128
A rectangular prism is completely packed with 63 cubes of edge length fraction 1 over 3 inch, without any gap or overlap.
Answer:
2 1/3 cubic inches
Step-by-step explanation:
Perhaps you want to know the volume of the prism in cubic inches.
Find the total volume of the smaller cubes:
63(1/3 in)^3 = 63/27 in^3 = 7/3 in^3 = 2 1/3 in^3
Which of the following is an irrational number
Answer: D is the answer
Step-by-step explanation: Because a irrational number is a number that is non-reapting and non-terminating and it cannot be written as a ratio or a fraction
Hope this helps...
what’s the derivative of 8x?
Answer:
8.
Step-by-step explanation:
d/dx(8x)
= 8 * d/dx(x)
= 8 * 1
= 8.
What is the value of this expression when a = 4, b= -5, and c= -7?
a + 2bc
3a ?
Answer:
1) -66
2)
Step-by-step explanation:
Given:
a=4
b=-5
c=-7
=a+2bc
=4+2*-5*7
=4+(-10*7)
=4-70
=-66
=3a
=3(4)
=12
Hope this helps ;) ❤❤❤
Answer:
-66, 12
Step-by-step explanation:
4+2 times-5 times -7 times
-70+4= 66
Solve 17-21
Pleaseeee
Answer:
17) sometimes
18) sometimes
19) sometimes
20) sometimes
21)what is it asking
Step-by-step explanation:
17) in terms of the square that's correct but in terms of a rectangle it's not
18) the the angles could be 30, 60, 92, 178.. the four angles have to add up to 360 but they could be 150 for example 30, 30, 150, 150,
19) in in terms of a rectangle, kite etc it's correct. but for a kite or a trapezoid it's not
20) in in terms of a kite yes but in terms of a square no.
21)??
1. What is a sequence?
2. What is each number in a sequence called?
3. What do patterns do?
4. What is an arithmetic sequence?
Answer:
1. A particular order in which related events, movements, or things follow each other.
2. A term
3. Patterns offer visual clues to an underlying order. Patterns can also be used as a template that will enable one to quickly analyze a situation and understand how it works.
4. Sequence of numbers such that the difference between the consecutive terms is constant.
What type of slope is demonstrated by the line below?
(5,5)
(5,-5)
O A. Zero slope
O B. Negative slope
O C. Undefined slope
D. Positive slope
1/2 × 2 = ? Step by step explanation would also be helpful!
Answer:
1
Step-by-step explanation:
Simplify the following:
2/2
Hint: | Divide 2 by 2.
2/2 = (2×1)/2 = 1:
Answer: 1
what is the value of x in 3x+7y=27
Answer:
[tex]x = \frac{-7y}{3} +9[/tex]
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other side. Do the opposite of PEMDAS. Isolate the variable, x.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 7y from both sides:
3x + 7y (-7y) = 27 (-7y)
3x = -7y + 27
Next, divide 3 from all terms on both sides:
(3x)/3 = (-7y + 27)/3
x = (-7y/3) + 9
[tex]x = \frac{-7y}{3} +9[/tex]
A pronghorn Antelope can run at speeds of about 59 miles per hour . what is that speed in feet per second, to the nearest whole number
Answer:
Step-by-step explanation:
To do this we need to first multiply by the number of feet in a mile to get:
311520 feet per hour
Then we divide by 3600 to get this into feet per second:
86.53333... feet per second
Now rounding this we get 87 feet per second.
(9x-2)+(2x-8) I forgot how to do this
Answer:
Hey there!
9x-2+2x-8
11x-2-8
11x-10
Let me know if this helps :)
Answer:
11x - 10
Step-by-step explanation:
because there is a plus sign between the brackets, we just assume there are no brackets at all........so it will be:
9x - 2 + 2x - 8,,,,,,,,,bring the like terms together
9x + 2x - 2 - 8 = 11x -10.
the answer has a minus sign because when working out two negative numbers, we add them but still maintain the negative sign.
NOTE: If the sign between the brackets was a minus , the sign in the second expression would have changed from -8 to +8
Write an expression to determine the length of the room in units of 3 feet.
Answer:
1/3LStep-by-step explanation:
The question with some background info added:
When measuring the dimensions of a room a carpenter uses a tape measure that only displays a number of feet, L, on the metal tape. (The carpenter's tape measure does not display inches) Write an expression to determine the length of the room in units of 3 feet. SolutionLet the length of the room be L feet measured by the carpenter
Then
L/3 = 1/3L would be measure of the length in units of 3 feetSimplify. Thank you...
Greetings from Brasil...
Looking at the attachment we can use some properties:
(A/B) ÷ (C/D) = (A/B) · (D/C)
(M/N) · (P/Q) = (M/Q) · (P/N)
One solution:
[(X + 3)/X] · (X - 1)...........................................................
another polynomial division
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A mountain climber started his climb at 50 feet above see level, he then descended 28 feet. He then raised 3 feet to rest in his cot to make his final 10 feet climb down. Write an expression to find his position relative to his final position.
Given :
A mountain climber started his climb at 50 feet above see level .
He then raised 3 feet to rest in his cot to make his final 10 feet climb down.
To Find :
An expression to find his position relative to his final position.
Solution :
Let , final position is h .
h is given by :
[tex]h=\text{(Initial position)-(initial descended)+(height raised to rest)-(final descended)}\\\\h=50 -28 +3-10\ feet\\\\h=15\ feet[/tex]
So , his final position is 15 feet .
Hence , this is the required solution .
During harvesting season at Florida Blue Farms, hand pickers
collect about 200 pounds of blueberries per day with a 95%
pack-out rate. The blueberry harvester machine collects about
22,000 pounds of blueberries per day with a 90% pack-out rate.
The pack-out rate is the percentage of collected blueberries
that can be packaged to be sold, based on Florida Blue Farms'
quality standards.
Let h represent the number of days the hand pickers work and
m represent the number of days the harvester machine is used.
Which of the following algebraic expressions can be used to
estimate the amount of collected blueberries that are packed at
the Florida Blue Farms for fresh consumption this season?
A (0.95h+200)(0.90+22000)
B 0.95(200h)+0.90(22000m)
C 200.95h+22000.90m
D (200h+0.95)(22000m+0.90)
Step-by-step explanation:
its b..........
Bbbbb
The farm uses two harvesting tools for packages that needs to be sold. So, we have to consider the rates of both harvest tools and the number of harvest by both tools. The algebraic expression is: [tex]0.95(200h) + 0.90(22000m)[/tex]
Given that
[tex]h \to[/tex] days of hand pickers word
[tex]m \to[/tex] days harvester machine is used
[tex]n_h = 200[/tex] --- pounds of hand pickers
[tex]n_m = 22000[/tex] -- pounds of harvester
[tex]r_h = 95\%[/tex] -- pack out rate of hand pickers
[tex]r_m = 90\%[/tex] -- pack out rate of harvester
The expression to estimate the amount is calculated as:
[tex]Amount = r_h \times n_h + r_m \times n_m[/tex] --- i.e. pounds of hand picker * its pack out rate + pounds of harvester * its pack out rate
So, we have:
[tex]Amount = 95\% \times 200h + 90\% \times 22000m[/tex]
Express as decimal
[tex]Amount = 0.95 \times 200h + 0.90 \times 22000m[/tex]
Rewrite as:
[tex]Amount = 0.95(200h) + 0.90(22000m)[/tex]
Hence, option (b) is correct.
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30 = −5(6n + 6) multi step equation show all steps pls
The solution to the equation is n = -2.
To solve the equation 30 = -5(6n + 6) step-by-step, follow these procedures:
Step 1: Distribute the -5 on the right side:
30 = -5 * 6n - 5 * 6
Step 2: Simplify the right side:
30 = -30n - 30
Step 3: Move constant term to one side:
30 + 30 = -30n
Step 4: Combine like terms:
60 = -30n
Step 5: Divide both sides by -30 to isolate 'n':
n = 60 / -30
Step 6: Simplify the right side:
n = -2
The solution to the equation is n = -2.
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A Skier descended down a mountain at a rate of 14 feet per second.what was his total change in elevation after 8 seconds?
Answer:
1.75ft/s²Step-by-step explanation:
The total change in elevation of the skier is its acceleration. Acceleration is the change in velocity of a body with respect to time.
Acceleration = Velocity/Time
Given velocity of the skier = 14feet/sec
Time taken = 8secs
Acceleration of the skier = 14/8
Acceleration of the skier = 1.75ft/s²
Hence the total change in elevation after 8 seconds is 1.75ft/s²