Answer:
-4
Step-by-step explanation:
x is a variable, so to do g(2) you have to write g(x), but substitute 2 in place of x:
g(2) = 4*2² + 2*2 - 24 = 16 + 4 - 24 = -4
Do the points (15, -12), (28,14), and (32,21) all lie on the same line? Be sure you can explain why or why not.
Choosing different pairs of points we got different slopes, then we conclude that the 3 points don't lie on the same line.
Do the points lie on the same line?Remember that if a line contains two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:
a = (y₂ - y₁)/(x₂ - x₁)
Here the 3 points are on the same line if we get the same slope for any pair that we choose.
If we use the first two; (15, -12) and (28, 14), the slope is:
a = (14 - (-12))(28 - 15) = 8.67
If we use the second and third point (28, 14) and (32, 21), we get:
a = (21 - 14)/(32 - 28) = 6.125
We got different slopes, then we conclude that the 3 points don't lie on the same line.
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4x-10=-6x-2 the value of x
Answer:
x = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
4x - 10 = - 6x - 2 ( add 6x to both sides )
10x - 10 = - 2 ( add 10 to both sides )
10x = 8 ( divide both sides by 10 )
x = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex]
Solve for the value of q. 780 (59+2)
Answer:
9222.23333 is the value good sir :)
Step-by-step explanation:
PLEASE CAN SOMEONE HELP ME I"M STUCK PLEASE I WOULD REALLY APPRECIATE!!
Answer:
Step-by-step explanation:
subsitute x with value given in bracket
a) f(1) = (1)² + 1 = 2
b) f(-3) = (-3)² + 1 = 10
c) f(b³) = (b³)² + 1 = b^6 + 1
d) f(x-1) = (x-1) +1 = x
Assume you have a list of numbers 12, 10, 32, 3, 66, 17, 42, 99, 20 write a loop that prints each of the numbers on a new line. python
Python is a computer programming language often used to build websites and software, automate tasks, and conduct data analysis. Python is a general-purpose language, meaning it can be used to create a variety of different programs and isn't specialized for any specific problems.
Python 3 code:
function to print the numbers in list
def print_list(List):
for entry in List:
print(entry)
function to print the numbers and squares in list
def print_squares(List):
for entry in List:
print("Square of ", entry, " = ", entry*entry)
Call the functions now
input_list = [12,10,32,3,66,17,42,99,20]
print_list(input_list)
print_squares(input_list)
Sample Output:
12 10 32 3 66 17 42 99 20 Square of 12 = 144 Square of 10 = 100 Square of 32 = 1024 Square of 3 = 9 Square of 66 = 4356 Square of 17 = 289 Square of 42 = 1764 Square of 99 = 9801 Square of 20 = 400
Python 2.7 code:
function to print the numbers in list
def print_list(List):
for entry in List:
print entry
function to print the numbers and squares in list
def print_squares(List):
for entry in List:
print "Square of ", entry, " = ", entry*entry
Call the functions now
input_list = [12,10,32,3,66,17,42,99,20]
print_list(input_list)
print_squares(input_list)
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HELP EMERGCNY ILL MARK YOU BRAINLIST SHOW YOUR WORK
Answer:
3(c+30)+4(c+30), 7c + 210, 3c+90+4c+120
Step-by-step explanation:
I this helps :D
Answer:
I think it's the first one
Step-by-step explanation:
because he went to class 3 times a week and u would need to multiply 3 by c minutes + 30 minutes ( u have to add them to find the total amount of minutes he exercised during one class and multiply that by 3 after adding them together bc he did that class 3 times which means he did the exercise 3 times so u multiply) then u add that with next week where he went 4 times and did c minutes+ 30 minutes. HOPE THIS HELPS!
please help with 7, 9 and 11!! i am stuck on problems
7) (x, TU, TB) = (4, 8, 13)
9) (x, RS, MN) = (8, 41, 41)
11) (AB, BC, AC) = (42, 42, 84)
What are the values of the variable x and the lengths of the line segments?
In this question we have three cases of colinear line segments, each of them can be solved by using definitions from Euclidean geometry and algebraic handling:
Case 7 - TU = 2 · x, UB = 3 · x + 1, TB = 21
TB = TU + UB
21 = 2 · x + 3 · x + 1
21 = 5 · x + 1
5 · x = 20
x = 4
Then, the lengths of each line segment are:
TB = 21
TU = 2 · 4
TU = 8
UB = 3 · 4 + 1
UB = 13
The solutions are (x, TU, TB) = (4, 8, 13).
Case 9 - RS = 3 · x + 17, MN = 7 · x - 15
RS = MN
3 · x + 17 = 7 · x - 15
4 · x = 32
x = 8
And the lengths of each line segment are:
RS = MN = 41
The solutions are (x, RS, MN) = (8, 41, 41).
Case 11 - AB = 2 · x - 8, BC = x + 17
AB + BC = AC
AB = BC
2 · x - 8 = x + 17
x = 25
And the lengths of each line segment are:
AB = 2 · 25 - 8
AB = 42
BC = AB
BC = 42
AC = 42 + 42
AC = 84
The solutions are (AB, BC, AC) = (42, 42, 84).
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A truck enters a highway driving 60 mph. A car enter the highway at the same place 14 minutes later and drives 67 mph in the same direction . From the time the car enters the highway, how long will it take the car to pass the truck
Time taken by car to pass the truck in the same direction from the time the car enters the highway is approximately12.54 minutes with a truck speed 60mph and a car 67mph.
As given in the question,
Speed of a truck=60mph
⇒60 minutes = 60miles
⇒14 minutes = (60/60)×14
= 14 miles
Car speed =67mph
67 miles=60minutes
⇒1miles = (60/67) minutes
⇒14miles = (60/67)×14
≈12.54 minutes (approximately)
Therefore, time taken by car to pass the truck in the same direction from the time the car enters the highway is approximately12.54 minutes with a truck speed 60mph and a car 67mph.
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Find the midpoint AND length of each segment with the given endpoints. Round to the nearest tenth of necessary.
J(4,3) & K(2-3) L(-4,5) & N(5,-3)
Midpoint: Length: Midpoint: Length:
The midpoint and length of the points J(4,3) and K(2,-3) is calculated as (1,0) and 40.
The midpoint and length of the points L(-4,5) and N(5,-3) is calculated as (-12,1) and 145.
Given : The endpoints J(4,3) and K(2,-3) and L(-4,5) and N(5,-3)
We need to find the midpoint and length of these endpoints.
The formula for midpoint is x1+x22, y1+y22
From the first endpoints, x1=4 , y1=3 , x2=2 , y2=-3
4+22, 3-32 => (22,02) => (1,0)
So, the midpoint for the endpoints is (1,0)
The formula to find the length is (x2-x1)2+(y2-y1)2
From the first endpoints , the length becomes
(2-4)2+((-3)-3)2=> (-2)2+(-6)2 => 4+36 => 40
The formula for midpoint is x1+x22, y1+y22
From the first endpoints, x1=-4 , y1=5 , x2=5 , y2=-3
-4+52, 5-32 => (-12,22) => (-12,1)
So, the midpoint for the endpoints is (-12,1)
The formula to find the length is (x2-x1)2+(y2-y1)2
From the first endpoints , the length becomes
(5+4)2+((-3)-5)2=> (9)2+(-8)2 => 81+64 => 145
Hence, the midpoint and the length from the endpoints is calculated and determined.
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Simplify this expression
12g+9g
Answer:
21g
Step-by-step explanation:
12 + 9 = 21 then add the variable.
After Simplify this expression 12 g + 9 g. We get, 21g.
To simplify this expression
12 g + 9 g,
Add ( 12 + 9) ,which is 21
So, 12 g + 9 g = 21 g.
Therefore, the final answer is 12 g + 9 g = 21 g.
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Which fractions are equivalent to 0.4? Select all that apply.
Answer:
Step-by-step explanation:
2/5 or 4/10 or 8/20 or 16/40
I need help please ASAP !!!
A Baby mango tree stands 2.6 meters above the ground. Its roots extend 7/5 meters below the ground.
Which of the following expressions represents the vertical distance between the top of the mango tree and the tips of its roots?
Choose 1 Answer:
A. ( 2.6 - 7/5 )
B. ( 7/5 - 2.6 )
C. None of the above
The expressions that represents the vertical distance between the top of the mango tree and the tips of its roots is C. None of the above.
How to calculate the distance?It should be noted that the mango tree stands 2.6 meters above the ground. Its roots extend 7/5 meters below the ground.
In this case, the vertical distance will simply be the difference between the values that are given.
This wasn't written on this case.
Therefore, the correct option is C.
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which of the following is equivalent to 3^4 ? Which of the following is equivalent to 3^ 4 ?
12
81
7
64
81 is equivalent to 3^4
What Is the Power of a Number?
The power of a number stands for how many multiples of the number there are. The power of a number is represented by something called an exponent
When a number is "raised to the second power," it means that the number is multiplied together twice, for example. When a number is "raised to the fifth power," it means that it is multiplied together five times.
we have to solve 3^4
here 3 raised to the fourth power
then 3 is multiplied together 4 times
3*3*3*3
81
Hence ,81 is equivalent tp 3^4
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The ratio of rabbits to guinea pigs in a pet shop is 2:3. There are 12 rabbits in the pet shop. Circle the number of guinea pigs. 8 15 18 30
Answer: 18
Step-by-step explanation:
12 divided by 2 = 6
6 x 3 = 18
Answer:
the answer is 18
Step-by-step explanation:
this is because 12 divided by 2 = 6
6 x 3 = 18
Please help me I’m very confused!!
first off let's keep in mind that an absolute value is really a ± equation in disguise, so |5x -4| can pretty much be rewritten as ±(5x - 4), so is a dual equation, let's solve both for "x".
[tex]|5x-4|\leqslant 3x\implies \pm(5x-4)\leqslant 3x \\\\[-0.35em] ~\dotfill\\\\ +(5x-4)\leqslant 3x\implies 5x-4\leqslant 3x\implies 2x-4\leqslant 0\implies 2x\leqslant 4 \\\\\\ x\leqslant \cfrac{4}{2}\implies {\LARGE \begin{array}{llll} x\leqslant 2 \end{array}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]-(5x-4)\leqslant 3x\implies (5x-4)\stackrel{\stackrel{notice}{\downarrow }}{\geqslant} -3x\implies 8x-4\geqslant 0 \\\\\\ 8x\geqslant 4\implies x\geqslant \cfrac{4}{8}\implies {\LARGE \begin{array}{llll} x\geqslant \cfrac{1}{2} \end{array}}[/tex]
Check the picture below.
What is the probability that a hand of five cards chosen at random and without replacement from a standard 52 card deck will have a king of spades, exactly one other king, and exactly two queens?
The probability that a hand of five cards chosen at random and without replacement from a standard 52 card deck will have a king of spades, exactly one other king, and exactly two queens = 0.000332
A deck of cards consist of 52 cards in which each 13 cards are from 4 suits: Spades, Hearts, Diamonds and Clubs.
Each suit consist of cards Ace, King, Queen, Jack and other 9 cards.
So in 52 cards there is 4 kings and 4 queens each.
Five cards are selected at random and without replacement.
Five cards from a 52 deck cards can be chosen in 52C5 ways.
A spade king can be chosen in 1C1 way. [ Since there is only one spade king]
Exactly one other king can be chosen in 3C1 ways. [Since now only 3 kings are remaining after choosing 1 spade king]
Exactly 2 queens can be chosen in 4C2 ways.
Now 4 cards are selected out of 5. The remaining 1 card is chosen out in 48C1 ways.
So the probability that the five cards chosen will have a king of spades, exactly one other king, and exactly two queens
= (1C1 x 3C1 x 4C2 x 48C1) /52C5 = 18/54145 =0.000332
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YALL IS ANYONE WILLING TO SOLVE MATH?
Answer:
A = 1160
B = 1160 is already in standard form.
C = 1200
What is the slope of the line that passes through the points(−4,2) and (−5,0)?
Step-by-step explanation:
the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.
the direction does not matter, but it is essential that once a direction is picked for one coordinate, we use the same one then also for the other.
I prefer to go from left to right, so (-5, 0) to (-4, 2) :
x changes by +1 (from -5 to -4).
y changes by +2 (from 0 to 2).
so, the slope is +2/+1 = 2/1 = 2.
Prove by C/D formulas that cos 6°×cos66°×cos42°×cos78° = 1/16
Answer:
True.
Step-by-step explanation:
(LHS) cos 6∘ cos 42∘ cos 66∘ cos 78∘
1/4 [cos(66∘+6∘) = cos(66∘-6∘)] • [cos(78∘+42∘)+cos(78∘-42∘)]
= 1/4(sin18∘+12)(-12+cos36∘)
[∵cos72∘ = cos(90∘−18∘) = sin18∘]
1/4[(5-√-1)/4+1/2][−1/2+(5-√+1)/4]
[∵sin(18∘ = (5-√-1)/4, and, cos 36∘ = (5-√+1)/4]
1/4(5-√+1)/4(5-√-1)/4 = (5-1)/64
= 4/64 = 1/16 (RHS)
Therefore, the cosine is equal to 1/16.
Gabriel is deciding between two different movie streaming sites to subscribe to. Plan 1 cost $22 per month plus $1 per movie watched. Plan 2 cost $14 per month plus $3 per movie watched. Create a system of equations to represent this situation. Explains how many movies, x, would cause the two plans to have an equal monthly cost.
The number of movies that would make the monthly cost equal is 4.
What is the number of movies when the plans' cost would be equal?The total monthly cost is a function of the cost per month, total movies watched and the cost per movie.
The equations that represent the total cost of using the streaming sites would be in the form:
Total cost = cost per month + (number of movies watched x cost per movie)
Plan 1: $22 + ($x)
Plan 2: $14 + (3x)
When both plans have the same monthly cost, the two above equations would be equal
$22 + x =$14 + 3x
In order to determine the value of x, take the following steps:
Combine similar terms: $22 - $14 = 3x -x
Add similar terms together: $8 = 2x
Divide both sides of the equation by 2: $8 /$ 2 = x
x = 4
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The following is a list of P/E ratios (current stock price divided by company's earnings per share) for 17 companies. 57, 53, 50, 46, 42, 35, 31, 56, 52, 34, 34, 34, 30, 30, 55, 55, 51. Draw the histogram for these data using an initial class boundary of 29.5, an ending class boundary of 59.5, and 5 classes of equal width. Note that you can add or remove classes. Label each class with its endpoints.
The histogram for these data is given at the end of the answer.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
For this problem, there are 5 classes with a range of 30, as 59.5 - 29.5 = 30, hence the class width is of:
30/5 = 6.
From the data-set, we have that:
There are 7 values between 29.5 and 35.5.There are 0 values between 35.5 and 41.5.There are 2 values between 41.5 and 47.5.There are 4 values between 47.5 and 53.5.There are 4 values between 53.5 and 59.5.Considering this, the histogram is given at the end of the answer.
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Givien f(x) = 5x+4, solve for x when f(x) = -6.
Answer: -26
Step-by-step explanation:
5 x -6 = -30
-30 + 4 = -26
5(-6) + 4 = -26
Choose the angle name JWT
The angle with the name JWT is option (b)
How to determine the angle with the name JWT?The name of the angle is given as
JWT
The above means that
Two lines JW and WT intersects at point W
The point of intersection of these lines is the name of the angle
From the list of given option, we have option (b) that has the above property
Hence, the angle with the name JWT is option (b)
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PLEASE SOLVE THIS FOR MEEEE<333
Line l passes through point (-4,47) and line p is the graph of y+1=-5(x+5). If l is parallel to p what is the equation of l?
Answer:
[tex]y _{ \rm parallel} = - 5x +27[/tex]
Step-by-step explanation:
The equation of line p is in point-slope form , that's
[tex]y-y_1=m(x-x_1)[/tex]
Where:
m is the slope[tex](x_1,y_1)[/tex] is a point that lies on the lineSince line I is parallel to the line p , line I has the same slope as p. From the given equation of p , we can consider the slope of line p -5. Hence the slope of line I is also -5.
Now To determine the equation of I.
Use the point-slope formplugin the value of m and [tex](x_1,y_1)[/tex] to the equationsimplify it to the slope intercept form.We have
[tex](x_1,y_1)[/tex] =(-4,47)[tex]m_{parallel}=-5[/tex]So, the equation of line l is
[tex] y - 47 = - 5(x - ( - 4)) \\ \implies y - 47 = - 5 x- 20 \\ \implies \boxed{y _{ \rm parallel} = - 5x + 27}[/tex]
And we're done!
7x + 3x + x⁴ divided by x-2 using long division
Answer:
10x + x^4/x-2
Step-by-step explanation:
Combine like terms
(10x + x^4)/(x-2)
The ratio of the number of footballs to the number of baseballs is, The ratio of the number of baseballs to the number of footballs i
HWELPPEOEOEOWOEKEEN :.((((((
which of the following situations best descrbies a student engaged in active learing 1. A student uses only one of the resources provided by the teacher 2. A student skips parts of lessons that she find difficult 3. A student records questions to ask the teacher about a concept 4. A student does not discuss math outside of lessons.
Answer:1.c 2.b 3.a
Step-by-step explanation:
coefficients, and constants
g+12 +9g
The variable in the expression is g.
The coefficient of g is 10.
The constant term is 12.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
g + 12 + 9g
Add the like terms.
10g + 12
Now,
The variable in the expression is g.
The coefficient of g is 10.
The constant term is 12.
Thus,
The coefficient is 10.
The constant is 12.
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