Answer:
$100.25
Step-by-step explanation:
To figure this out we can write a really simple equation! to start we're going to identify our variables: in this case we'll make [tex]T[/tex] for total, [tex]c[/tex] for the amount of copper, [tex]a[/tex] for the amount of aluminum, and [tex]p[/tex] for the amount of plastic. We can then create this equation to represent the sum of the amount of material times the value. This equation will look like this: [tex]T=1.48c+1.55a +.30p[/tex]
Now that we have an equation written out, we can plug in the amount of each material to get [tex]T=1.48(50)+1.55(15)+.30(10)[/tex]. We can then simplify this by following PEDMAS and multiplying to get [tex]T=74+23.25+3[/tex] and then all we have left is to add to get [tex]T=100.25[/tex]
The masses of two objects are compared during Mrs. Mobley’s Science experiment. It is determined that object A has a mass of 3 × 10^−2 grams and object B has a mass of 2 × 10^−3 grams. Mrs. Mobley offers extra credit to the first team that can determine how many times larger is the mass of object A than the mass of object B?
Answer:
15 times larger than b
Step-by-step explanation:
=3×10^-2/2×10^-3
=15×10^-1×10^+1
=15
YO CAN ANYONE ANSWER DIS MATH QUESTION!!!
Answer:
2.39 ydStep-by-step explanation:
Formula is given
C = 2πrIf C = 15 yd, π = 3.14, then r is
C = 2πr r = C/2π r = 15/(2*3.14) = 2.39 yd rounded to the nearest 100thPhysics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The
students found that the height, in feet, h, of the ball above the ground as a function of the number of seconds, t, since
it wasdropped was given by h(t) = 10 - 2t^2
1. Determine an appropriate domain for the given scenario. Record your domain in both interval and set builder
notation.
Interval:
Set-Builder:
Justify your reasoning for choosing the above boundaries on your domain using the context of the problem.
How would the domain for this function differ if we were looking at it outside of the context of this problem?
Answer:
Interval notation: [0, 2.236]
Set Builder notation: [tex]\{t\ |\ 0\le t\le 2.236\}[/tex]
Step-by-step explanation:
Given that:
Equation of height of the ball dropped from a height of 10 foot, as:
[tex]h(t) = 10 - 2t^2[/tex]
Where [tex]t[/tex] is the time since the ball was dropped.
To find:
The domain of the function in Interval and set builder notation.
Solution:
Domain of a function is defined as the set of valid input values that can be given to the function for which the function is defined.
Here, input is time.
We can not have negative values for time.
Therefore, starting value for time will be 0 seconds.
And the value of height can not be lesser than that of 0 ft.
[tex]0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds[/tex]
Maximum value for time can be 2.236 seconds.
Therefore the domain is:
Interval notation: [0, 2.236]
Set Builder notation: [tex]\{t\ |\ 0\le t\le 2.236\}[/tex]
II. Let f(x) = 9 – x , g(x) = x2 + x, and h(x) = x – 2. Compute the following:
9. H(g(x)) and h(g(f(x)))
Answer:
[tex]h(g(x))=x^2+x-2[/tex]
[tex]h(g(f(x))= x^2-19x+88[/tex]
Step-by-step explanation:
Composite Function
Suppose f(x) and g(x) are real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
The composite function can be found by substituting g into f.
We are given these functions:
[tex]f(x)=9-x[/tex]
[tex]g(x)=x^2+x[/tex]
[tex]h(x)=x-2[/tex]
Find:
a) h(g(x))
Substituting g into h:
[tex]h(g(x))=x^2+x-2[/tex]
b) h(g(f(x))
First we find g(f(x)):
[tex]g(f(x))=(9-x)^2+(9-x)[/tex]
Operating:
[tex]g(f(x))=81-18x+x^2+9-x[/tex]
Simplifying:
[tex]g(f(x))=90-19x+x^2[/tex]
Now find h(g(f(x)) replacing the above equation into h:
[tex]h(g(f(x))= 90-19x+x^2-2[/tex]
Simplifying and rearranging:
[tex]h(g(f(x))= 88-19x+x^2[/tex]
[tex]h(g(f(x))= x^2-19x+88[/tex]
Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work?
Answer:
Identity property of multiplication
Step-by-step explanation:
From step 5:
[tex] 1x = 20 [/tex]
Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.
Step 6:
[tex] x = 20 [/tex]
According to the identity property of multiplication, any value you multiply by 1 gives you that same value.
Therefore, 1x = 1 × x = x.
The variable x multiplied by 1 will give you x.
PLEASE HELP ME ASAP!
Divide.
(2x^3 - 5x^2 + 7) divided by (x - 2)
Answer:
2x^2 -x - 2 + (3/x-2)
Step-by-step explanation:
(w-2) (w+5)
I need help I don't understand ...
===============================================
Work Shown:
Let x = w-2
This will allow us to replace the (w-2) with x to get...
(w-2)(w+5)
x(w+5)
x*w + x*5 ... distribute
w(x) + 5(x)
Now replace x with w-2 and distribute again
w(x) + 5(x)
w(w-2) + 5(w-2)
w*w + w*(-2) + 5*w + 5*(-2)
w^2 - 2w + 5w - 10
w^2 + 3w - 10
Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
Answer:1/r7+1 over 8 and 12
Step-by-step explanation:
The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,
⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
r Superscript negative 7 Baseline + s Superscript negative 12
⇒ r ⁻⁷ + s ⁻¹²
Now, We can simplify the expression as;
⇒ r ⁻⁷ + s ⁻¹²
⇒ 1 / r⁷ + 1 / s ¹²
⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]
Thus, The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,
⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
HELP PLZ DUE IN 30 MINUTES The Multiplication of Polynomials
Answer:
(x-1)(x^3+4x^3-1)=(x-1)(5x^3-1)
Step-by-step explanation:
I need help (please explain the answer and how you got it)
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Ok! So you want to find slope! First, you will need two points which you already have. Next, you will want to plot those two points on a graph. Once, you have that you can draw a straight line between the two points and until the end of the graph. After that, you want to find the rise/run or rise over run. Rise meaning up or down and run meaning left or right. Sometimes your problem will want you to keep the rise/run format and sometimes your problem will ask for a who number in which case you will divide your rise/run (rise ÷ run). How to find the rise over run you ask, simple! Draw a line-up or down from your first (or second) point whichever works, until you reach the y-value of your second (or first) point one your two points are connected, count the rise (up or down) and then the run (left or right). If your run goes left its a negative, right a positive. If your rise goes up its a positive, down a negative.
Boom! You know how to find slope!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
how much more can you simplify this
Dalyn has been asked to consider the following functions:
f (x) = 6x² - 12x + 11
g (x) = 6(x - 1)² + k
Dalyn would like to find a value of a k such that both f(x) and g(x) model the same graph. Help Dalyn solve for the value of k so both functions will represent the same graph.
Answer:
In order that both functions to represents the same (one) graph then the value of k is 5
Step-by-step explanation:
The given functions are;
f(x) = 6·x² - 12·x + 11
g(x) = 6·(x - 1)² + k
Expanding the function g(x) gives;
6·(x - 1)² + k = 6 × (x² - 2·x + 1) + k = 6·x² - 12·x + 6 + k
∴ 6·(x - 1)² + k = 6·x² - 12·x + 6 + k
Comparing with the function for f(x), we have;
f(x) = 6·x² - 12·x + 11
g(x) = 6·(x - 1)² + k = 6·x² - 12·x + 6 + k
The difference between the two functions is the constant term, which are;
Constant term for f(x) = 11
Constant term for g(x) = 6 + k
For the two terms to describe exactly the same graph, the constant term should also be equal
We will then have, 11 = 6 + k
∴ k = 11 - 6 = 5
k = 5
For both functions to represent the same graph the value of k = 5.
Jennifer's bank account is modeled by the following equation where x equals the number of weeks and f(x) equals the total balance. f(x) = 12x + 45 William's bank account balances after weekly deposits are showing in the following table. How much money was in Jennifer’s account when it was opened?
Answer:
30
Step-by-step explanation:
The money that was in Jennifer’s account when it was opened should be 30.
Calculation of the money:Since
Jennifer's bank account is modeled by the following equation
where x equals the number of weeks and f(x) equals the total balance.
And, the equation is f(x) = 12x + 45.
So here as per the attached graph, so the money should be 30.
Learn more about money here: https://brainly.com/question/3046341
The relationship between the number of pounds (lb) of trail mix and the price in dollars is shown in the graph. What is the unit price of trail mix? 40 32 Price (dollars) 24 16 2 3 Weight (pounds) 116 3
Answer: b - $8/1 lb
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I got it right :)
whats the answer to 6/2(1+2)=
Answer:
the answer is 9
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
6/[2(1+2)]
Using PEMDAS
parentheses first
6/[2 (3)]
6/6
1
Record the length of this line shown in centimeters.
Answer:
12
Step-by-step explanation:
the ruler measured 12
$1995 at 6.5% for 10 years.
answer:
10 times 6 is 60 plus 5 is 65 carry the 5 you've got
1995
+
565
=
2560
step-by-step explanation:
and that's on periodt
even integers from 11 and 111
Answer:
Please see below :)
Step-by-step explanation:
Integers - Whole numbers (no fractions or decimals!)
11 to 111
12, 14, 16, 18, 20
22, 24, 26, 28, 30
32, 34, 36, 38, 40
42, 44, 46, 48, 50
52, 54, 56, 58, 60
62, 64, 66, 68, 70
72, 74, 76, 78, 80
82, 84, 86, 88, 90
92, 94, 96, 98, 100
102, 104, 106, 108, 110
Hope this helped!
solve the system of equations by the addition method
5x + 2y = 6
4x - 3y = 14
Answer: x=2, y=-2
Step-by-step explanation:
1) I will find x first, so make the amount of Ys same
3(5x+2y=6)
2(4x-3y=14)
2) 15x+6y=18
8x-6y=28
3) combine them together so Ys are all cancelled and 23x=46
4) x=2
5) for solving y, you can just plug in the x to any of that 2 equations, then 4(2)-3y=14
6) 8-3y=14
7) -3y=6
8) y=-2
does anyone know it i think ik it but im not sure so i need help
Answer:
The "if" part is the hypothesis.
The "then" part is the conclusion.
Hypothesis: an animal is a poodle
Conclusion: it is a dog
please i need help!!! Beth enlarged the triangle below by a scale of 5.
A triangle with a base of 4 centimeters and height of 3.5 centimeters.
She found the area of the enlarged triangle. Her work is shown below.
One-half (4) (3.5) (5) = 35 centimeters squared
Answer:
Your answer is: There is a mistake in Beth's answer the mistake was that she multiplied the area of the original triangle by the scale factor.
Step-by-step explanation:
Hope this helped : )
Translate (-2, -3) up 2 units.
Then reflect the result over the x-axis.
What are the coordinates of the final point?
Answer:
0,1
Step-by-step explanation:
i believe that’s the answer sorry if it’s incorrect
The aspect ratio of a rectangular shape is its length (L) divided by its width (W). It is expressed as L:W or L/W. If the aspect ratio of a chalkboard is 12:7 and the length is 36 in, what is the width of the chalkboard?
Answer:21
Step-by-step explanation:12 times three is 36 and 7 times 3 is 21
ben and winston ade both selling cookie dough for a fundraiser. Although ben has already sold 10tubs, Winston hasnt sold any yet. If ben starts selling
8tubs per day and Winston begins selling 9tubs per day, they will eventually sell the same amount of cookie dough. how many days will that take
? Plzzz help
Answer:
Step-by-step explanation:
On the first day, Ben (B) starts with 10 tubs and Winston (W) starts with 0 tubs.
After the first day, Ben sells 8 tubs per day while Winston sells 9 tubs per day.
Therefore we can write the following equation: (Where d = number of days)
B = 10 + 8d
W = 0 + 9d = 9d
We are told that eventually they will sell the same amount which means
B = W
This means we can say,
10 + 8d = 9d
If we subtract 8d from both sides we get
10 = d
Therefore it will take 10 days for them to sell the same amount of cookie dough.
Answer: 10 days
10 + 8 x 10 = 90
9 x 10 = 90.
It will take 10 days for Ben and Winston to sell the same amount of cookie dough.
Hope this helps you!
HELP PLEASE WHATS NOT A FUNCTION
Half note times a whole note plus 2 quarter notes minus 3 half notes
equals...?
A. 2
B. 4
C. 6
D. 8
35% of the students in Mr. Simmons’ math class liked last nights’ homework. If there were 49 students who liked last nights’ homework, how many total students does Mr. Simmons teach?
Answer:
the answer should be 140
Step-by-step explanation:
Mike had some candy to give to his four
children. He first took two pieces for
himself and then evenly divided the rest
among his children. Each child received
two pieces. With how many pieces did he
start?
Find the volume of a rectangle box given the length of x, width of (x-2) and height of (3x+5)
Answer:
3x^3 − x^2 − 10x
Step-by-step explanation:
V= l*w*h
V= x * (x-2) * (3x+5)
V= (x(x−2)) (3x+5)
= (x(x−2)) (3x) + (x(x−2)) (5)
= 3x^3 − 6x^2 + 5x^2 − 10x
=3x^3 − x^2 − 10x
What is the lengh of the line segment with endpoints (-6,4) and (2,-5) leave answer in radical form
Answer:
8 Units long