Answer:
g(-4) = 1
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)Function NotationStep-by-step explanation:
What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.
∴ g(-4) = 1
Janice attempted to shoot 42 free throws with a basketball. She made 35 of the free throws. Based on those results what would you estimate the probability to be that she makes the next free throw?
A) .5333
B) .6333
C) .7333
D) .8333
Answer:
Probability = 0.8333...
Step-by-step explanation:
Based on the data, the probability is :
P = number of successes/number of possible outcomes
P = 35 /32 = 0.8333...
which agrees with answer D) in your list
Convert 199º to radians. Round to 2 decimal places.
Answer:
3.47
Step-by-step explanation:
Answer: 199π/180
Step-by-step explanation:
The formula for converting degrees to radians is [tex]x[/tex]°·[tex]\frac{\pi }{180}[/tex]
In this case, that gives you [tex]\frac{199\pi }{180}[/tex]. 199 is a prime number, so this can't be simplified down any further.
Also, the formula for converting radians to degrees is just the opposite: you multiply your radian measure by [tex]\frac{180}{\pi }[/tex] to cancel out pi.
Hope this helps :)
Complete the following problems. Please show your work.
1. A freight train leaves the station traveling due north at a speed of 40 mph. One hour later, a passenger train leaves the same station traveling due north on a parallel track at a speed of 50 mph. How long will it take the passenger train to overtake the freight train?
2. The width of a soccer field recommended for players under 12 is 32 yards less than the length. The perimeter of the fields is 290 yards. Find the dimensions of the field.
3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?
Answer:
see explanation
Step-by-step explanation:
(1)
Using the relationship
distance (d) = speed (s) × time (t)
The freight train leaves the station 1 hour earlier than the passenger train, so
d = 40(t + 1) ← Freight train
d = 50t ← Passenger train
We require to find when they are at the same distance from the station, then equating the 2 equations
50t = 40(t + 1) ← distribute
50t = 40t + 40 ( subtract 40t from both sides )
10t = 40 ( divide both sides by 10 )
t = 4
The passenger train will overtake the freight train after 4 hours
-------------------------------------------------------------------------------------
(2)
let l represent length, then width = l - 32
perimeter (P) = 2l + 2w = 290, that is
2l + 2(l - 32) = 290 ← distribute and simplify left side
2l + 2l - 64 = 290
4l - 64 = 290 ( add 64 to both sides )
4l = 354 ( divide both sides by 4 )
l = 88.5 and w = 88.5 - 32 = 56.5
Then dimensions are 88.5 yards by 56.5 yards
----------------------------------------------------------------------------------
(3)
Plan A : 100 + 15n
Plan B : 25n
When is Plan A better than Plan B , that is
100 + 15n > 25n ( subtract 25n from both sides )
100 - 10n > 0 ( subtract 100 from both sides )
- 10n > - 100
Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.
n < 10
Plan A is better when number of hours (n) is less than 10
Answer:
3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?
what is the answer to 3x + 7 = 82?
Answer:
x=25
Step-by-step explanation:
Answer:
x = 25
Step-by-step explanation:
3x + 7 = 82
3x + 7 - 7 = 82 - 7
3x = 75
3x/3 = 75/3
x = 25
Is AABC-ADEF? If so, identify the similarity postulate or theorem that applies 30- A
Answer:
C. Similar - AA
Step-by-step explanation:
From the diagram given, we know that all 3 angles of ∆ABC are congruent to all corresponding 3 angles of ∆DEF.
If we know just two of the angles of the two triangles given are equal to each other, it is enough information for us to prove that they are similar to each other based on the AA Similarity theorem.
The corresponding three angels of both triangles are equal, therefore, based on AA, they are similar to each other.
(1) The ratios 18:3 and 6:1 are equivalent. Why?
Answer:
Because if you take 18:3 and divide both sides by 3, you will get 6:1
Step-by-step explanation:
Because 18:3 divided by 3 on both sides equals 6:1, also 6:1 times 3 on both sides equals 18:3.
20) Write a division number story with an answer of 1/4.
Be sure to ask a question.
Answer:
Story: Mr. Lanre bought 8 apples for $2. What is the cost of each apple.
Step-by-step explanation:
Given
[tex]Answer = \frac{1}{4}[/tex]
Required
Write a division story
A division story could be:
Mr. Lanre bought 8 apples for $2. What is the cost of each apple.
Solving the above problem, we have:
[tex]Apples = 8[/tex]
[tex]Total\ Cost =\$2[/tex]
The cost of each is:
[tex]Each = \frac{Total\ Cost}{Apples}[/tex]
[tex]Each = \frac{2}{8}[/tex]
Simplify fraction
[tex]Each = \frac{1}{4}[/tex]
Yvonne Simmons is a technical writer at ZAP Electronics with an annual salary of
$72,500. The board of directors at ZAP voted to give all employees a
cost-of-living adjustment of 1.5% and Simmons a merit increase of 4%. What will
Simmons's salary be for the upcoming year?
Answer:
$76,487.50
Step-by-step explanation:
A car dealership decreased the price of a certain car by 14%. The original price was $48,200.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price = { x Original price
(b) Use your answer in part (a) to determine the new price.
New price: $0
Answer:
a) New price = 0.86 * Original price
b) New price = 0.86 * 48200 = $41452
Step-by-step explanation:
Solve the system of linear equations by graphing
Answer:
Place one dot at (0,-2) and another point at (-1,-1) then draw a line through it. Then place a dot at (0,3) and (1,0) And draw a line through those two points. Wherever those two lines intercept will be your answer.
Step-by-step explanation:
Solving systems of equations mastery test
Answer:
Is there a question?
Step-by-step explanation:
find the value of the second in this sequence
34 __ 84 109 134
Answer:
the answer is 59
Step-by-step explanation:
your welcome
0.3 - 0.04 = i need it ASAP
What's the slope of -x+2y=5
Answer:
Slope = (1/2)
Step-by-step explanation:
Rearrange the equation into the y = mx + b format.
-x + 2y = 5
2y = x + 5
y = (1/2)x + (5/2)
m represents slope, which is (1/2) in this question.
Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at the same time. After how many minutes they will rounds together again?
Answer:
[tex]Time = 11\frac{2}{3}\ min[/tex]
Step-by-step explanation:
Given
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
Required
After how many minutes, will they round together
First, convert the given time to minutes
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ \frac{20}{60}\ min[/tex]
[tex]Security\ A = 2\ mins+ \frac{1}{3}\ min[/tex]
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ \frac{40}{60}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
So, we have:
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
List out the multiples of the time of both security personnel take round.
[tex]Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...[/tex]
[tex]Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...[/tex]
In the above lists, the common time is:
[tex]Time = 11\frac{2}{3}\ min[/tex]
This implies that they go on round after [tex]11\frac{2}{3}\ min[/tex]
Show all work for full credit.
Answer:
−1,−4,−9,−14,-19,-24,-29,-34,-39,-44,-49,-54
Step-by-step explanation:
Sum is 3 then 5
Find the value of x and y.
20
X
12
у
X =
y =
Answer:
Step-by-step explanation:
Therefore: The slope is: m=1. The y -intercept is: b=12 or (0,12)
What is the values of 4 in 4,201 and 65,143
Answer:
4,000 and 40
Step-by-step explanation:
Answer:
4,201, 4 would be in the thousands place and the 4 in 65,143 would be in the tens place. So it would be 4,000 and 40.
A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.
HELPPPPPPPPPPPPPPPPPPPP
Answer:
(-3, -1)
(-4, -6)
Step-by-step explanation:
The third quadrant is the bottom left quarter of the coordinate grid, so points with a negative x and a negative y would be in it.
can anyone pls help me with this question I'm stuck
Answer:
I think 24
let b=3
l=4
and h=2
Answer:
864
Good luck!
1. A refrigerator originally cost $795 refrigerator but it is currently on sale with a 20% discount. The sales tax is
9.75%. What is the final sale price after the discount and tax?
Answer:
1630.77
Step-by-step explanation:
795 * 20% = 159
159 divided 9.75% equals 1630.77
hope this helps :)
A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. The expression 10A + 6B, which represents the total number of people you can seat using A large tables and B small tables, is called a linear combination. For instance, 150 people could be seated using 6 large tables and 15 small tables. Use that expression to enter an equation in standard form that models all the different combinations of tables the restaurant could use. Then identify at least one possible combination of tables other than (6, 15).
The equation is . Another possible combination is
Answer:
15
Step-by-step explanation:
PLEASE HELP ITS REALLY URGENT
Need help with this please and please explain as well thank you
Answer:
324
Step-by-step explanation:
4 × 6 × 11 in = 264 [tex]in^{2}[/tex]
3 × 4 × 5 in = 60 [tex]in^{2}[/tex]
264+60= 324
When a commodity is sold for x dollars per item, the number of items sold is f(x). The item costs 5 dollars to make. The item costs 3 dollars to make.
Required:
a. Express the total profit P in terms of x (the answer has been partially filled in for you).
b. What is the rate of change of the total profit as x changes?
c. If 3000 items sell when the price is 45 dollars and if the number of items that are sold decreases by 600 for every 1 dollar increase in price, find the rate of change of the profit when the item price is 45 dollars.
In this exercise we will use the differential equations to calculate finances, we find that:
a) [tex]Profit = (x - 3)f(x)[/tex]
b) [tex]P' = f(x) + (x - 1) f'(x)[/tex]
c) [tex]P' = 29400[/tex]
The cost of producing the items is the total expenses of production while the revenue is the amount of money generated from selling the item.
a)Then using the given formula and substituting for the known values we find that;
[tex]Cost = \ cost \ of \ producing \ one \ item * number \ of \ items \ produced\\Cost = $3 * f(x) = 3f(x)\\Revenue = selling \ price \ of \ one \ item * number \ of \ items \ produced\\Revenue = x * f(x) = xf(x)\\Profit = Revenue - Cost = xf(x) - 3f(x)\\Profit = (x - 3)f(x)[/tex]
b) Applying knowledge of differential equations we find that:
[tex]P' = d/dx(xf(x) - 3f(x) )\\P' = f(x) + xf'(x) - f'(x)\\P' = f(x) + (x - 1) f'(x)[/tex]
c)Substituting the known values into the formula given above, we find that:
[tex]f(x) = 3000, x = $45, f'(x) = -600 items / 1$\\P' = 3000 + (45 - 1)(-600)\\P' = 3000 + 26400\\P' = 29400[/tex]
See more about differential equations at brainly.com/question/25731911
Please help me, I think this is easy but I just don't get it...
Answer:
the last one?
Step-by-step explanation:
i dont know, but that one seems like it would
Answer:
answer is A if only one can be chosen. if more than one can be, b might be an answer as well, but not c and d.
Step-by-step explanation:
think of a 3 4 5 triangle for answer a.
just remembered this method, do Pythagorean theorem for each answer. that will tell you which equals a triangle. answer a foe sure is one cmbecuase of a 3 4 5 triangle.
Factorise 12x^2 + 8x^3
Answer:
The answer is 4x^2 (3+ 2x)
Step-by-step explanation:
Factor 4 x ^2 out of 12 x ^2 + 8 x ^3 .
hoped this helped!
brainly, please?
Which statement describes the graph
Answer:
Your answer is A
Step-by-step explanation:
I hope I helped :)
Which set of ordered pairs represents a function?
O{(-1,-6), (-1, -2), (5, -1), (7,-2)}
O {(5,-9), (-2, -7), (5,4), (3,7)}
O {(4,-4), (-4,-4), (-7, -2), (-6,6)}
{(-4, 7), (-4, - 7), (-3,6), (-6, -6)}
Answer:
Third 1
Step-by-step explanation:
A function can not have repeating x-values, but CAN have repeating Y-VALUES.
(x,y)
Example : (-4,6) & (-4,2) - There is a repeating x-value, -4.