Answer: The volume of a cuboid is given by the formula V = LWH, and the surface area of a cuboid is given by the formula SA = 2lh + 2wh + 2lw where l = length, w = width, and h = height.
And i was just learning this a few days back lol
One $100.00 bill, four $20.00 bills, six $10.00 bills, three $5.00 bills, and six $1.00 bills are placed in a bag. If a bill is
chosen at random, what is the expected value for the amount chosen?
Answer:
1
Step-by-step explanation:
There is more of those so it has a bigger chance of being chosen
......................................................................................................................................................
Answer:
please be more specific
Two points on the graph of the linear function f are (0,5) and (3,8). Write a function g whose graph is a reflection in the x-axis of the graph of f.
Answer:
Step-by-step explanation:
As first step we must obtain the equation of the line. According to Analytical Geometry, we can get a equation of the line by knowing two different points. A linear function is represented by the following expression:
[tex]y = m\cdot x + b[/tex]
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
If we know that [tex](x_{1}, y_{1}) = (0, 5)[/tex] and [tex](x_{2}, y_{2}) = (3, 8)[/tex], the following system of linear equations is formed:
[tex]5 = 0\cdot m + b[/tex]
[tex]b = 5[/tex] (Eq. 1)
[tex]8 = 3\cdot m + b[/tex]
[tex]3\cdot m + b = 8[/tex] (Eq. 2)
From (Eq. 1) in (Eq. 2) we get the value of [tex]m[/tex]:
[tex]3\cdot m + 5 = 8[/tex]
[tex]3\cdot m = 3[/tex]
[tex]m = 1[/tex]
The equation of the line that contains the points (0, 5) and (3, 8) is [tex]f(x) = x + 5[/tex].
As next step we must apply a reflection in the x-axis, whose operation is defined as follows:
[tex](x', y') \longrightarrow (x, -y)[/tex]
That is:
[tex]x' = x[/tex]
[tex]y' = -y[/tex]
Then, the function [tex]g(x)[/tex] is [tex]g(x) = -x-5[/tex]. We plot each function and include the result in the attachment below.
Find the inverse of the function y = x2 - 12.
O
y= "7-12
μ Ο Ο
O
y=+*+ 12
oy-IV-12
Oy=*+12
DONE
Answer:
[tex] x = \pm\sqrt{y + 12}[/tex]
Step-by-step explanation:
[tex]y = {x}^{2} - 12 \\ y + 12 = {x}^{2} \\ \pm\sqrt{y + 12} = x \\ x = \pm\sqrt{y + 12} \\ is \: the \: required \: inverse \: function[/tex]
The inverse of the function is given by y = ± √( x² - 12 )
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
y = x² - 12 be equation (1)
On simplifying , we get
To calculate the inverse of the function ,
Interchange the value of x with y , we get
x = y² - 12
On solving for y , we get
y² = x + 12
Taking square roots on both sides , we get
y = ± √( x² - 12 )
Hence , the inverse of the function is y = ± √( x² - 12 )
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Givenh (x) = x2 – 4whatish (6)?
Answer:
h(6) = 32
Step-by-step explanation:
h (x) = x^2 – 4
h(6) =
Let x = 6
h (6) = 6^2 – 4
= 36 -4
= 32
Andre's coin jar contains 85 cents. There are no
quarters or pennies in the jar, so the jar has all
nickels, all dimes, or some of each.
16
1) Write an equation that relates the number of
nickels, n, the number of dimes, d, and the
amount of money, in cents, in the coin jar.
Can You please help me on this they don’t have what I’m looking for.
===========================================================
Explanation:
n = number of nickels
d = number of dimes
Since each nickel is 5 cents, and each dime is 10 cents, we can say
5n = value of all the nickels (ignore the dimes) in cents
10d = value of all the dimes (ignore the nickels) in cents
5n+10d = value of all the coins (nickels+dimes) in cents
5n+10d = 85 is the equation we're after
-----------------------
Extra Info:
We don't have enough info to be able to solve for n and d.
The list of all possible solutions are
n = 17, d = 0n = 15, d = 1n = 13, d = 2n = 11, d = 3n = 9, d = 4n = 7, d = 5n = 5, d = 6n = 3, d = 7n = 1, d = 8Note how each time n drops by 2, d goes up by 1.
This is because 2 nickels = 1 dime.
In other words, for every 2 nickels we take away, we add on 1 dime. This works in reverse as well (for every dime removed, add 2 nickels).
The equation to represent the given situation is 5n+10d = 85.
Given that, Andre's coin jar contains 85 cents.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, n = number of nickels and d = number of dimes.
Since each nickel is 5 cents, and each dime is 10 cents, we can say
5n = value of all the nickels (ignore the dimes) in cents
10d = value of all the dimes (ignore the nickels) in cents
So equation is 5n+10d = value of all the coins (nickels + dimes) in cents
That is, 5n+10d = 85
Therefore, the equation to represent the given situation is 5n+10d = 85.
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What is 4x(2x-3)-5(3x-4) in standard form
I NEED HELP ASAP 17 points and BRAINLIEST!!!!!!!!!!
Answer:
1st 3rd and 4th
Step-by-step explanation:
I just did that
Can someone please help,I have to turn this in before 12
Answer:
h = 290 ÷ 7.25, h = 40 u²
Step-by-step explanation:
The formula for the area of a triangle is A = (Bh)/2.
You have already correctly identified the first two steps.
The third step would be to divide 290 by 7.25 to isolate h.
h = 290 ÷ 7.25
= 40 u²
Which equation is y = 9x2 + 9x – 1 rewritten in vertex form? y = 9 (x + one-half) squared minus thirteen-fourths y = 9 (x + one-half) squared minus 1 y = 9 (x + one-half) squared + five-fourths y = 9 (x + one-half) squared minus five-fourths
Answer:
It's A.
Step-by-step explanation:
Answer:
y = 9 (x + one-half) squared minus thirteen-fourths
Step-by-step explanation:
i hope
what is 25% of 40?
Answer:10
Step-by-step explanation:
How many ways can 7 paintings be lined up on a wall horizontally?
Answer:
I think in 49 ways by changing each other
Can some tell me what does x equal?
Answer:
x=10
Step-by-step explanation:
A straight line has an angle of 180 degrees. To solve for x we can add all the given angles and set them equal to 180.
[tex]180= 5x-1+9x+8+2x+13[/tex]
Then combine all the common factors
[tex]180=16x+20[/tex]
And then you can solve for x
[tex]180= 16x+20\\160=16x\\10=x[/tex]
To check if x is correct you can plug in 10 to each equation. If all the equations add up to 180, then x is correct
[tex]5(10)-1= 49\\9(10)+8= 98\\2(10)+13= 33\\\\49+98+33=180[/tex]
11+2x=x+4 whoever answered can you show the work?
Answer:
x= -7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x+11=x+4
Step 2: Subtract x from both sides.
2x+11−x=x+4−x
x+11=4
Step 3: Subtract 11 from both sides.
x+11−11=4−11
x=−7
A printer prints 28 photos in 8 minutes. How many minutes does it take to print 21 photos?
Answer:
6 min.Step-by-step explanation:
ratio and proportion:
28 photos = 21 photos
8 min x min.
21 (8) = 28 (x)
x = 168 / 28
x = 6 min.
Traveling at an average speed of 50 miles per hour, the trip from point A to point B takes 2 hours. Traveling at an
average speed of 40 miles per hour, the same trip takes 2.5 hours.
If time, y, varies inversely with speed, x, how long will the trip take traveling at 45 miles per hour? Round your
answer to the nearest hundredth, if necessary.
O 2.22
O 2.25
4.44
4.50
Answer:
option A is the correct answer.
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
i took a test and that was right
I need to know what x equal? some1 help
Step-by-step explanation:
Angles DE and AB are alternate angles, they have the same angle values :)
Here is the equation: (6x-12)+(7x+1)= 10x+25
Solve:
13x-11=10x+25
3x=36
x=12
Hope this helps :)
Answer:
the answer is going to be x=12
Solve the equation 46,207 x 83 = ___.
Answer:
3,835,181
Step-by-step explanation:
Answer:
The answer would be A, 3,835,181
Step-by-step explanation: I did the test, do you do schoology?
ILL MARK BRAINLIEST
Simplify the expression below. 10−2⋅32+13
Answer:
if you are multiplying the 2 and the 32, the answer would be -41
Step-by-step explanation:
hope this helps! :) :) :) (please give me brainliest!)
Answer:
- 41
Step-by-step explanation:
10 - 2 · 32 + 13
Multiply first because of PEMDAS
10 - 64 + 13
- 54 + 13
- 41
-----------------------------------------------------------------------------
If that's not the answer you wanted, you might have forgot to type in the parenthesis.
Hope this helped!!!
6( (5)-(7) )
________
(2)
Answer:
-12Step-by-step explanation:
[tex]6( (5)-(7) )\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(\left(5\right)-\left(7\right)\right)\:\\:\quad -2\\\\=6\left(-2\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:6\left(-2\right)\:\\:\quad -12\\\\=-12[/tex]
Last one (for now)
Which of the following relations describes a function?
A.
{ (-1, -2), (-2, -1), (1, 2), (2, 1) }
B.
{ (1, 1), (1, 2), (2, 1), (2, 2) }
C.
{ (1, -1), (1, 1), (2, -1), (2, 1) }
D.
{ (0, 0), (0, 1), (1, 0), (1, 1) }
Answer: A
Hope this helps :)
Answer:
A
Step-by-step explanation:
kyle preordered a playstation 5 for 499. he now only has $56 . how much money did he have before pre ordering the play station
Answer:
He had 499 + 56 = 555
Step-by-step explanation:
Answer:
Kyle had $555 before preordering his PlayStation 5.
Step-by-step explanation: If Kyle spent $499, and has $56 left, you add the two values together. 499+56= 555. Therefore, Kyle had $555 before preordering his PlayStation.
Select the points you need to calculate the average rate of change from the beginning of the
slide to when the slide has covered a horizontal
distance of 15 feet.
(0,80)
(5, 40)
(10,20)
(15, 10)
Answer:
A) (0,80)
and
B) (15,10)
The average rate of change is -14/3
Step-by-step explanation:
egen2020
what expression is equivalent to 3a - 2a x 4a +6a
Answer:
a (9 - 8 a x)
Step-by-step explanation:
Simplify the following:
3 a - 2 a x×4 a + 6 a
-2 a x×4 a = -2 a^2 x×4:
3 a + -2 a^2 x×4 + 6 a
-2×4 = -8:
3 a + -8 a^2 x + 6 a
Grouping like terms, 3 a - 8 a^2 x + 6 a = -8 a^2 x + (3 a + 6 a):
-8 a^2 x + (3 a + 6 a)
3 a + 6 a = 9 a:
-8 a^2 x + 9 a
Factor a out of -8 a^2 x + 9 a:
Answer: a (9 - 8 a x)
The expression that is equivalent to [tex]3a - 2ax \times 4a +6a[/tex] is: [tex]\mathbf{a(9 - 8ax)}[/tex]
Given the expression:
[tex]3a - 2ax \times 4a +6a[/tex]
To find an expression that is equivalent to the above expression, we will need to simplify the expression.
Multiply[tex]3a - 2ax \times 4a + 6a\\\\3a - 8a^2x + 6a[/tex]
Add like terms together[tex]3a + 6a - 8a^2x\\\\9a - 8a^2x[/tex]
Simplify the expression further by factoring out
[tex]a(9 - 8ax)[/tex]
Therefore, the expression that is equivalent to [tex]3a - 2a \times 4a +6a[/tex] is [tex]\mathbf{a(9 - 8ax)}[/tex]
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if angle w and angle v are supplementary angles and angle v=49, find angle w
Answer: 131°
Step-by-step explanation:
Supplementary angles are the angles that when we add them together, their sum is equal to 180°.
From the question, we are informed that angle w and angle v are supplementary angles and angle v=49.
V + W = 180°
49° + W= 180°
W = 180° - 49°
W = 131°
Factorise
9x² -(3y - 4x)²
Answer:
(7x-3y) (-x+3y)
Step-by-step explanation:
(3x-3y+4x) (3x+3y-4x)
(3x-3y+4x) (3x+3y-4x)
(7x-3y) (-x+3y)
Not sure what the student did wrong here.
Step-by-step explanation:
The slope of the perpendicular line is the opposite inverse. So the student should have used -1/4 as the slope of the perpendicular line, not 1/4.
whats 3/7 divided by 2/3
Answer:
3/7 ÷ 2/3 = 9/14
Step-by-step explanation:
When we divide two fractions, such as 3/7 ÷ 2/3, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
Algebraically solve the following system of equations.
(x - 2)2 + (y - 3)2 = 16
x + y - 1 = 0
The solutions to the system of equations are (2, -1) and (-2,3)
How to solve the system of equations?The equations are given as:
[tex](x - 2)^2 + (y - 3)^2 = 16[/tex]
x + y - 1 = 0
Make y the subject in x + y - 1 = 0
y = 1 - x
Substitute y = 1 - x in [tex](x - 2)^2 + (y - 3)^2 = 16[/tex]
[tex](x - 2)^2 + (1 - x - 3)^2 = 16[/tex]
Evaluate
[tex](x - 2)^2 + (-x - 2)^2 = 16[/tex]
Expand the equations
[tex]x^2 - 4x + 4 + x^2 + 4x + 4 = 16[/tex]
Evaluate the like terms
[tex]2x^2 + 8 = 16[/tex]
Subtract 8 from both sides
[tex]2x^2 = 8[/tex]
Divide by 2
[tex]x^2 = 4[/tex]
Take the square roots of both sides
x = ±2
Substitute x = ±2 in y = 1 - x
y = 1 - 2 = -1
y = 1 + 2 = 3
Hence, the solutions to the system of equations are (2, -1) and (-2,3)
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The sum of three consecutive numbers is 45 what is the smallest of the three numbers
the smallest of the three numbers is 14
Step-by-step explanation:Hi there !
three consecutive numbers a ; b ; c
b = a + 1
c = a + 2
a + b + c = 45
replace b ; c
a + (a + 1) + (a + 2) = 45
3a = 45 - 3
3a = 42
a = 42 : 3
a = 14
Good luck !
