Answer:
[tex]x=8[/tex]
Step-by-step explanation:
[tex]3x+18=4x+10[/tex]
Subtract 18 from both sides:
[tex]3x+18-18=4x+10-18[/tex]
[tex]3x=4x-8[/tex]
Subtract 4x from both sides:
[tex]3x-4x=4x-8-4x[/tex]
[tex]-x=-8[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{-8}{-1}\\[/tex]
[tex]x=8[/tex]
Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)
(a) y = 3sinx
(b) y = 3xsinx - 5xcosx
(c) y = -3 / 2xcosx
(d) y = 3cosx
(e) y = 3 / 2xsinx
Answer:
C
Step-by-step explanation:
We must compute the derivatives and check if the equation is satisfied.
A. . Differentiate again to get , then so this choice of y doesn't solve the equation.
B. and , then so y is not a solution
C. hence . Then so y is a solution.
D. and , then thus y isn't a solution
E. hence . Then then y is not a solution.
Find the size of an angle which is four times its complement.
PLEASE HELP PRECALC WHAT IS THE SECOND ROW MULTIPLIED BY?
Answer:
the answer is .5 i think
1.PS-9
Question Help
You want to buy some noodles. A 6-ounce package costs $2.22. A 15-ounce package costs $5.85. A
26-ounce package costs $9.36. Which package is the best buy?
The
-ounce package of noodles is the best buy.
rachel is setting up for her birthday . rachel wants to put the same number of chairs around each table . how many chairs will rachel place around each table at her birthday party ?
choices
3
4
5
6
Answer:
6 chairs around each table
Step-by-step explanation:
just did it
44. Find the total area of the shaded rectangles.
9
х
х
2

Answer:
(x² + 18) units²
Step-by-step explanation:
Area of a rectangle = l*w
There are two shaded rectangles found inside the large rectangle. Let us represent the smaller shaded one as Rectangle 1, the bigger shaded rectangle as Rectangle 2.
Below are the dimensions and area if each of them:
Rectangle 1 (small shaded rectangle):
l = x
w = x
Area = x * x = x² units²
Rectangle 2 (bigger shaded rectangle):
l = 9
w = 2
Area = 9*2 = 18 units²
Total area of the shaded rectangles = x² + 18 = (x² + 18) units²
7. Chantel Monroe charges $3.75 per page for typing rough drafts and an
additional $0.50 per page for changes and deletions. A manuscript had
212 pages, of which 147 pages had changes and deletions. What was
the total cost of typing the manustript?
answer
212 - 147 = () times 3.75
147 × 4.25 =
add them together and that's the total amount
Solve
3(4- 2)
2.
Select the correct choice below an
Answer:
6
Step-by-step explanation:
3(4-2) distribute 3
12-6
6
What is the domain and range for y=x3 – 4x² + x + 6
Answer:
Domain: set of Real numbers
Range{ set of Real numbers
Step-by-step explanation:
Since this is a cubic function, its domain and range are both the set of Real numbers.
The domain of any polynomial function is the set of Real numbers, And as far as the Range, we decide based on its end-behavior: since this is a polynomial with leading term [tex]x^3[/tex], then it has the property of getting to infinitely large values for increasing values of x, and infinitely negative values for decreasing values of x.
write in algebraic expression 15 less than the product of 2 and r
Answer:
2r - 15
Step-by-step explanation:
product of 2 and r is 2r and then minus by 15. im sorry if this is wrong haha
The algebraic expression for the statement"15 less than the product of 2 and r" will be 2r-15.
What is a mathematical expression?A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.
It is given that the expression is, "15 less than the product of 2 and r."
Let the expression is equated to x in order to represent,
x=15 less than the product of 2 and r
x=2r-15
Thus, the algebraic expression will be 2r-15.
Learn more about the expression here:
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Factor the given polynomial.
9z^2 +15z +4
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. 9z^2 +15z +4=
B.The polynomial is prime.
Answer:
(3z + 1)(3z + 4)
Step-by-step explanation:
[tex]9 {z}^{2} + 15z + 4 \\ = 9 {z}^{2} + 3z + 12z+ 4 \\ = 3z(3z + 1) + 4(3z + 1) \\ = (3z + 1)(3z + 4)[/tex]
You buy 2 pairs of shoes for $14 each. You give the cashier $29. Which of the following is a good estimation of the change you will get back?
Answer:
Hey there!
A good estimation is one dollar.
2 pairs of shoes for 14 dollars= 28 dollars
29-28=1 dollars.
Hope this helps :)
Recall the Survivor: 21 Flags game from the page on backward induction. Assume that you are playingthe same game with the same rules EXCEPT now the team who takes the last flag loses.a) (30 points) What should each team’s strategy be?b) (5 points) What is the best move for the first team to move?c) (5 points) What is the best move for the second team to move?
Answer:
Given that there are 21 flags, NOW using backward induction we can see that;
If there is only one flag left, whosoever picks up that particular flag will lose. Therefore, 1 is loosing number.
Now if there are 2 flags left, whosoever's turn it is, can pick 1 flag and leave one for the opponent and win the game. Therefore, 2 is winning number. Similarly if there are 3 flags left then whosoever's turn it is can pick 2 flags and leave one for the opponent and can win the game. Hence 3 is winning number. Similarly when 4 flags left, 3 can be picked up and leave one for the opponent and win the game. So, 4 is also winning number.
Now, if there are 5 flags left, then no matter whichever number you choose among 1,2 or 3 you gonna leave other team with 4,3 or 2 respectively and all 3 are winning number. Therefore, 5 is loosing number.
Similarly, if you have 6,7,8 then by taking 1,2,3 respectively you can leaveyour opponent with number 5 and that is loosing number and you can win certainly. Therefore, 6,7,8 are also winning number.
Following above discussion, we see a pattern among the number that would make sure you win and with other numbers you loose.
we see after 1 if we go in positive direction on number line till 21 then every fourth number is loosing number because no matter what you choose you will leave your opponent with a winning number of flags and if your opponent knows and follows the optimal strategy can win. Therefore,
Loosing Numbers = 1,5,9,13,17 and 21
Winning Numbers = 2,3,4,6,7,8,10,11,12,14,15,16,18,19 and 20
a) STRATEGY
If you are a team that is stuck with any of loosing number that is 1,5,9,13,17 or 21 then no matter what strategy you follow you gonna loose. Therefore, there is n winning strategy in this situation given other team also knows the winning strategy
But if you have any of winning numbers at any point then you can follow the following strategy and can win
- 2 flags = pick up one flag and leave 1 for the opponent, win
- 3 flags = pick up 2 flags and leave 1 for the opponent, win
- 4 flags = pick up 3 flags and leave 1 for the opponent, win
- 6 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 7 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 8 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 10 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 11 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 12 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 14 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 15 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 16 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 18 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
- 19 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
- 20 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
b)
Since team moving first will have 21 flags left on ground and it is a loosing number, no matter which number it chooses to pick it is gonna loose as it will leave other team with winning number. So, they will be indifferent between choosing 1,2 or 3
c)
If first teams removes 1 flag then best strategy for second team would be to remove 3 flags and again leave first team with loosing number
similarly, If first teams removes 2 flags then best strategy for second team would be to remove 2 flags and again leave first team with loosing number
and If first teams removes 3 flags then best strategy for second team would be to remove only 1 flag and again leave first team with loosing number
Wha t is the surface area of the square pyramid represented by the net below
Question
112
48
64
96
Answer:64
Step-by-step explanation:multiply the two numbers
Write in standard form.
2.87 x 104
A.28,700
B. 0.000287
C. 2,870
D. 287,000
The general form of the number is 28,700. The correct option is A.
What is a standard form?Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.
The given number is 2.87 x 10⁴. The general form of the number can be written as:-
2.87 x 10⁴ = 2.87 x 10000
2.87 x 10⁴ = 28700
Multiply 2.87 by 10000 we will get the general form 28700 for the number.
Therefore, the general form of the number is 28,700. The correct option is A.
To know more about the standard form of the number follow
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2(x+y) = 2x + 2y
what property is this
Answer:
Distributive Property.
Step-by-step explanation:
You distribute the 2 to each of the terms.
Simplify
(2x– 3) (5x4 – 7x3 + 6x2 – 9)
A. 10x5 – 29x4 + 33x3 - 18x2 18x + 27
B. 10x5 - x4-9x3 – 18x2 -18x - 27
C. 10x5 + 29x4 – 33x3 + 18x2 + 18x - 27
D. 10x5 + x4 + 33x3 + 18x2 + 18x + 27
Answer: (A)=10x5−29x4+33x3−18x2−18x+27
Step-by-step explanation:
How i solved it was by simplifying each answer there was available and (A) was the most compatiable answer!
=(2x+−3)(5x4+−7x3+6x2+−9)
=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)
=10x5−14x4+12x3−18x−15x4+21x3−18x2+27
=10x5−29x4+33x3−18x2−18x+27
Answer:
=(2x+−3)(5x4+−7x3+6x2+−9)
=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)
=10x5−14x4+12x3−18x−15x4+21x3−18x2+27
=10x5−29x4+33x3−18x2−18x+27
Step-by-step explanation:
find the area of a rectangle that has a length of 8 inches and a width of 9 inches
Answer:
72in
Step-by-step explanation:
area=length x width
a=8x9
what is -5 considered as
Use completing the square to solve for x in the equation (x + 7) (x minus 9) = 25.
Answer:
x=1+/- the square root of 89
Answer:
x=1+ (square root of 89)
Step-by-step explanation:
A zoo has 15 Emperor penguins. The Emperor penguins make up 30 percent of all the penguins at the zoo. how many penguins does the zoo have?
Answer:
50 penguins
Step-by-step explanation:
Let the total number of penguins = x
30% of x = 15
[tex]\frac{30}{100}*x=15\\\\\\x=15*\frac{100}{30}\\\\x=50[/tex]
Answer:
50
Step-by-step explanation:
15 x 100 equals 1500
1500 divided by 30 equal 50
Hopefully this helps you :)
pls mark brainlest ;)
r/4 - 1.4 =1.58 what should be the first step?
Answer:
R/4 - 1.4 =1.58
R/4 = 1.58 + 1.4
R/4 =2.98
r=11.92
Step-by-step explanation:
what kind of number is -18 and explain why it is
Answer:
Step-by-step explanation:
-18 is a integer because it has negative sign
☽------------❀-------------☾
Hi there!
~
-18 is an integer number because of the " - " sign. I hope the picture will explain why -18 is an integer number!
❀Hope this helped you!❀
☽------------❀-------------☾
25 pts
Question 5
25 points
Jack and Jill went to the grocery store. They purchased 2 packages of
hamburger buns for $1.10 per package, one pound of hamburger meat for
$3.79, and 3 bottles of soda for $0.95 per soda. If Jack and Jill split the bill
evenly, then how much money did each person pay?
Answer:
$4.42!
Step-by-step explanation:
Just add all the prices together then divide by 2!
$1.10 * 2 + $3.79 + $0.95 * 3 = $8. 84
$8.84 ÷ 2 = $4.42!
Which single transformation can be applied to the graph of y = 72Vx to produce the graph of y = 9Vx?
Answer:
Horizontal compression
Step-by-step explanation:
Just took a test
Answer: horizontal compression
Step-by-step explanation:
Edge
please solve as fast as possible...
No spams please......
Answer:
In ∆ABD and ∆ACD
<BAD =<CAD ( each are half of <A )
<D=<D ( each equal to 90°)
AD = AD ( common)
So ∆ ABD is congruent to ∆ ACD.
Then AB =AC (by C.P.C.T)
Hence,∆ABC is an iso - sceles triangle.
18. f-g4, if f =3 and g = -5=
Answer:
23
Step-by-step explanation:
Step 1:
3 - -5 (4)
Step 2:
3 - (-20)
Step 3:
3 + 20
Answer:
23
Hope This Helps :)
Please helpppp.
Name the property of it then simplify.
7+n=7+3
Answer:
I got u
Solve for n by simplifying both sides of the equation, then isolating the variable.
n=3
Step-by-step explanation:
Answer:
communitative property
n=3
What is the value of f^-1(0)?
Please help! It’ll be greatly appreciated!
Answer:
[tex]f^{-1}(0)=6[/tex]
Step-by-step explanation:
So, we have the graph y=f(x).
And we want to find:
[tex]f^{-1}(0)[/tex]
Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:
[tex]f^{-1}(0)=y[/tex]
This means that we have the point:
[tex](0,y)[/tex]
So, to find our solution, we will swap the x- and y-coordinates. This gives us:
[tex](x,0)[/tex]
So, simply need to find the x-coordinate such that y is 0.
From our graph, we can see the point (6,0). In other words:
[tex]f(6)=0[/tex]
So:
[tex]f^{-1}(0)=6[/tex]
And we're done!
Inequalities (Please help!)
Answer:
x < x and -3x < -3x
Step-by-step explanation:
x cannot be less than itself so there would be no solution.