Answer:
10,4%
Step-by-step explanation:
The percentage change is found from ...
(amount of change)/(original amount) × 100%
(17,90 -16,22)/(16,22) × 100% = 1,68/16,22 × 100% ≈ 10,358% ≈ 10,4%
The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x?
If it helps, consider an example where you substitute 3 for x, 5 for y, and 8 for z.
y is z less than x.
y is z more than x.
x is y less than z.
x is y more than z.
Answer:
C. x is y less than z
Step-by-step explanation:
x+y=z
by using transposition
x = z-y
whatever x is, it is equal to the value of y taken from z
A mailing carton in the shape of a cube has a volume of 684 cubic inches. What is the length of one side of the carton to the nearest tenth of an inch?
Check the picture below.
What is the answer to this question?
Answer:
linear = 3x+y = 12, y = x/2 -3, y=x
nonlinear y = 6/x -2, y=3x³+5
Given the function f(x)=X^2- 3x, find f(-4)
one fifth of sum of two angles is 24 and their diffetence is 14 find the two angles
Answer:
Angles are [tex]67^0,53^0[/tex]
Step-by-step explanation:
Let the angles be [tex]x,y[/tex]
One fifth of sum of two angles is 24
[tex]\frac{x+y}{5} =24\\\\x+y=120[/tex]
The difference is [tex]14[/tex]
[tex]x-y=14[/tex]
[tex]2x=134\\\\x=67^0[/tex]
[tex]y=120-67\\\\=53^0[/tex]
End of Semester test geometry semester a question 29
Triangle DEF is dilated with respect to the origin by a scale factor of to produce ΔD'E'F'. What is the length of side D'E'?
A.
B.
C.
D.
The resulting coordinate will be D'(2, 6), E'(4, -6), and F'(0, 10),
Let the coordinate of the triangle DF be given as D(1, 3), E(2, -3) and F(0, 5).
For instance, if the coordinate point (x, y) is dilated by a factor of k, the resulting coordinate will be (kx, ky)Note that each of the coordinates is multiplied by the scale factor.
For the coordinates D(1, 3), E(2, -3), and F(0, 5), assuming the coordinate point is dilated by a factor of 2, the resulting coordinate will be D'(2, 6), E'(4, -6), and F'(0, 10),
Learn more on dilation here: https://brainly.com/question/10253650
Note that the question is answered on a general term.
Answer:
√5
Step-by-step explanation:
I got it right on Edmentum
Hook me up with a 5 star and a thanks :)
During a chess match there are 15 pieces left on the board. the ratio of the white pieces to black pieces is 3 : 2 how many white pieces are on the white board?
==========================================================
Explanation:
The ratio 3:2 scales up to 3x:2x for some positive whole number x.
We have 3x white pieces, 2x black pieces, and 3x+2x = 5x pieces total. Set this equal to the 15 mentioned and solve for x.
5x = 15
5x/5 = 15/5
x = 3
Therefore, there are 3x = 3*3 = 9 white pieces and 2x = 2*3 = 6 black pieces, which gives 9+6 = 15 total. The ratio 9:6 reduces to 3:2 after dividing both parts by the GCF 3.
2. The sum of two cubes can be factored by using the formula q3 + b3 = (a + b)(a? - ab + b).
(a) Verify the formula by multiplying the right side of the equation.
(b) Factor the expression 8x3 + 27.
(c) One of the factors of 23 - bºis a - b. Find a quadratic factor of a3 - bº Show your work.
(d) Factor the expression x3 - 1.
Factorization involves breaking down an expression.
The factorized expression of [tex]8x^3 + 27[/tex] is [tex]8x^3 + 27 =(2x + 3)(4x^2 -8x3 +9)[/tex]The other factor of [tex]2^3 - b^3[/tex] is [tex]4+2b+b^2[/tex]The factorized expression of x^3 - 1 is [tex]x^3 - 1^3=(x-1)(x^2+x+1)[/tex]The sum of cubes is given as:
[tex](a^3 + b^3) = (a + b)(a^2 -ab + b^2)[/tex]
(a) Verify the formula
Expand the expression on the right-hand side
[tex](a^3 + b^3) = a^3 -a^2b + ab^2 +a^2b - ab^2 + b^3[/tex]
Collect like terms
[tex](a^3 + b^3) = a^3 -a^2b +a^2b+ ab^2 - ab^2 + b^3[/tex]
[tex](a^3 + b^3) = a^3 + b^3[/tex]
The formula has been verified
(b) Factorized 8x^3+ 27
We have:
[tex]8x^3 + 27[/tex]
Express 27 as 3^3
[tex]8x^3 + 27 =8x^3 + 3^2[/tex]
Express 8 as 2^3
[tex]8x^3 + 27 =2^3x^3 + 3^3[/tex]
Rewrite as:
[tex]8x^3 + 27 =(2x)^3 + 3^3[/tex]
Given that:
[tex](a^3 + b^3) = (a + b)(a^2 -ab + b^2)[/tex]
The expression becomes
[tex]8x^3 + 27 =(2x + 3)((2x)^2 - (2x)3 +3^2)[/tex]
[tex]8x^3 + 27 =(2x + 3)(4x^2 -8x3 +9)[/tex]
(c)The other factor of 2^3 - b^3
By difference of cubes, we have:
[tex]x^3 - y^3=(x-y)(x^2+xy+y^2)[/tex]
So, the equation becomes
[tex]2^3 - b^3=(2-b)(2^2+2b+b^2)[/tex]
This gives
[tex]2^3 - b^3=(2-b)(4+2b+b^2)[/tex]
Hence, the other factor of [tex]2^3 - b^3[/tex] is [tex]4+2b+b^2[/tex]
(c) Factor x^3 - 1
We have:
[tex]x^3 - y^3=(x-y)(x^2+xy+y^2)[/tex]
Express 1 as 1^3 in x^3 - 1
[tex]x^3 - 1 =x^3 - 1^3[/tex]
[tex]x^3 - y^3=(x-y)(x^2+xy+y^2)[/tex] becomes
[tex]x^3 - 1^3=(x-1)(x^2+x+1^2)[/tex]
[tex]x^3 - 1^3=(x-1)(x^2+x+1)[/tex]
Read more about factorization at:
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Angle wxz is congruent to angle zxy. Find the value of X
Answer:
x = 18
Step-by-step explanation:
Congruent angles have equal measures.
74° = (4x +2)°
72 = 4x . . . . . . divide by °, subtract 2
18 = x . . . . . . . divide by 4
Can anyone help with this?
Is (x + 2) a factor of f(x) = x3 - 7x2 + 2X – 8? Use either the remainder theorem or the factor theorem to explain your reasoning.
[tex]\text{Given that,}\\\\f(x) = x^3 -7x^2 +2x -8\\\\\\\text{(x+2) will be a factor of f(x) if } f(-2) = 0 \\\\\\f(-2) = (-2)^3 -7(-2)^2 +2(-2) -8 = -48 \\\\\\\text{Since}~ f(-2) \neq 0, ~ (x +2) \text{is not a factor of f(x).}[/tex]
-2 1/5 - 1 3/10 help!!
some help, I need some answers
Answer:
Well your Hypotenuse is 10 and your other angle is 8 so it is most likely 6 because you see a change in 2 each time and it is about 2 units smaller because all right triangles follow a pattern
Step-by-step explanation:
if it was too go even higher it would go to 12,14,16 etcetera
+
-
1. The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990
through 2009 can be approximated by the function M = f(0) = 0.0037(t + 14.979), where t = 0
represents the year 1990.
(a) Describe the transformation of the common function f(x) = x2. Then sketch the graph over the
intervalo s t < 19.
(b) Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer.
(c) Use the model from part (b) to predict the mortgage debt in the year 2014.
The give quadratic function is dilated by the given coefficient, and shifted
horizontally to the left.
(a) The transformation of the common function f(x) are;
f(t) is made more wider than f(x) f(t) is shifted more to the left than the common function f(x).Please find attached the required graph created with MS Excel
(b) Where t = 0, represent the year 2,000 we have;
f(t) = 0.0037·(t + 24.979)²(c) The mortgage debt in the year 2014 is M ≈ $5.622 trillion
Reasons:
The given function is f(t) = 0.0037·(t + 14.979)²
Year 1990 is t = 0
(a) The given common function is; f(x) = x²
The transformation of the quadratic function are;
The coefficient 0.0037 widens the common function such that f(t) is wider
than f(x).
The constant, 14.979 added to the variable, t, shifts the graph of the
common function horizontally to the left.
Therefore;
f(t) is wider and shifted to the left more than the common function f(x)Please find attached the required graph over the interval 0 ≤ t ≤ 19 created with MS Excel.
(b) The amount of mortgage debt in 2,000 is given as follows;
With t' = 0 represent the year 2,000, we have;
At year 1990, t' = -10
Which gives, t' = t + 10
From which we have;
f(t) = 0.0037·(t + 14.979)² = 0.0037·(t' + 10 + 14.979)² = 0.0037·(t' + 24.979)²
Therefore;
The function with t = 0 representing the year 2,000 is presented as follows;
f(t) = 0.0037·(t + 24.979)²
(c) In the year 2014, we have;
t = 2014 - 2000 = 14
Which gives;
f(14) = 0.0037·(14 + 24.979)² ≈ 5.622
The mortgage debt in the year 2014 is M ≈ $5.622 trillion dollars
Learn more about transformation of quadratic functions here:
https://brainly.com/question/15105480
Pls Help! Actually give a legit answer (NO LINKS!)
Answer:
unfortunately i cannot tell you the exact answers; however, i can suggest something instead. my suggestion is that if there's any math notes that are available, maybe you could look over them-then apply that to the problems.
Step-by-step explanation:
I hope this helps you!
Use the counting techniques from the last chapter. A bag contains three red marbles, three green ones, one fluorescent pink one, two yellow ones, and four orange ones. Suzan grabs four at random. Find the probability of the indicated event.
She gets at least two red ones, given that she gets at least one green one.
Using the combination formula and the probability concept, it is found that there is a 0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.
A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, the order in which the marbles are taken is not important, hence, the combination formula is used to solve this question.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
2 red from a set of 3.1 green from set of 3.1 from a set of 1 + 2 + 1 + 2 + 4 = 10.Hence:
[tex]D = C_{3,2}C_{3,1}{C_{10,1}} = \frac{3!}{2!1!} \times \frac{3!}{1!2!} \times \frac{10!}{1!9!} = 90[/tex]
Total outcomes:
Four marbles are taken from a set of 13, hence:
[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]
Then, the probability is:
[tex]p = \frac{D}{T} = \frac{90}{715} = 0.1259[/tex]
0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.
To learn more about the use of the combination formula and the probability concept, you can check combination formula and the probability concept,
Help, im incredibly confused
[tex]f[/tex](x) = 0.20x + 35 : 29.5
Please explain how you got to the answer. I am trying to understand the concept that went into it.
Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction.
A. x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction
B. x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction
C. x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
D.x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Answer:
D. x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Step-by-step explanation:
Evaluate 0 and 1 (xe+ex)Dx
1. Use precise mathematical language to justify and explain each mathematical process.
Use the rectangle with side lengths 5.22 – 8x + 9 and x + 5 for the following two questions.
1. What is the perimeter of the rectangle? Write a summary of the process used to determine the expression.
2. What is the area of the rectangle? Write a summary of the process used to determine the expression.
Mathematical processes are the steps used to determine the result of operations
The perimeter of the rectangle is [tex]10x^2 - 14x + 28[/tex]The area of the rectangle is [tex]5x^3 +17x^2 -31x + 45[/tex]The dimension of the rectangle is given as:
[tex]Length = 5x^2 - 8x + 9[/tex]
[tex]Width = x + 5[/tex]
(1) The perimeter of the triangle
This is the sum of the side lengths of the rectangle.
So, we have:
[tex]Perimeter = 2 \times (Length + Width)[/tex]
This gives
[tex]Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)[/tex]
Collect like terms
[tex]Perimeter = 2 \times (5x^2 - 7x + 14)[/tex]
Open brackets
[tex]Perimeter = 10x^2 - 14x + 28[/tex]
Hence, the perimeter of the rectangle is [tex]10x^2 - 14x + 28[/tex]
(2) The area of the triangle
This is the product of the dimensions of the rectangle.
So, we have:
[tex]Area = Length \times Width[/tex]
This gives
[tex]Area = (5x^2 - 8x + 9) \times (x + 5)[/tex]
Open brackets
[tex]Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45[/tex]
Collect like terms
[tex]Area = 5x^3 - 8x^2 +25x^2+ 9x - 40x + 45[/tex]
[tex]Area = 5x^3 +17x^2 -31x + 45[/tex]
Hence, the area of the rectangle is [tex]5x^3 +17x^2 -31x + 45[/tex]
Read more about areas and perimeters at:
https://brainly.com/question/15656646
What is the 18th term to the sequence 14,18,22
Please help me on this!!! I’d really appreciate it!!!
Answer:
B
Step-by-step explanation:
If any number in decimal numeration system is denoted by 723 then what is the value of the number in binary numeration system?
Answer:
723 -> 01011010011
Step-by-step explanation:
how do i get more points? and why do i need it?
Answer:
You get more points by answering people's questions. You use points to get help from other people.
Answer: Answer people's questions to get points and use those points to get an answer to your question.
Jackson bought 6 basketballs for 72 dollars what was the price per basket ball
Answer:
the answer would be 12 I say this because 72 divied by 6 would equal 12
Answer:
12 dollars
Set up a proportion.
6/72=1/x
Solve by cross-multiplying (my preferred method) and then you will end up with the final answer of x=12.
12 is the answer :)
PLEASE MARK BRAINLIEST!
THANK YOU & HAVE A WONDERFUL DAY :))
Zachery sold 85 shares of stock for $65 a share. He paid $43 for it three years ago. How much was his capital gain?
Answer:
85*65=5525
85*43=3655
5525-3655=1870
Hope This Helps!!!
Find area of the region under the curve y=9−3x^2 and above the x-axis.
Answer:
A = 12√3
Step-by-step explanation:
first find the limits by finding the zeros
0 = 9 − 3x²
3x² = 9
x² = 3
x = ±[tex]\sqrt{3}[/tex]
[tex]A = \int\limits^a_b ({9 - 3x^2\\}) - 0\, dx[/tex]
where b = [tex]-\sqrt{3}[/tex] and a = [tex]\sqrt{3\\}[/tex]
A = 9x - x³ [tex]\left \{ {{\sqrt{3} } \atop {-\sqrt{3} }} \right.[/tex]
[tex]A = 9\sqrt{3} - \sqrt{3} ^3 - (9(-\sqrt{3)} - (-\sqrt{3} )^3)[/tex]
[tex]A = 9\sqrt{3} -3\sqrt{3} +9\sqrt{3} - 3\sqrt{3}[/tex]
[tex]A = 12\sqrt{3}[/tex]
I have 100 points
i need some help!!
Answer:
6c+2(5-7c)=6c+10-14c
=10-8c=-8c+10A. -8c+10 is correct option.
Thanks :)GUY HELP DID CLICK OF THE RIGHT ONE ?
Answer:
c
Step-by-step explanation:
it just is that's the right book
LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)
Answer:
See explanation
Step-by-step explanation:
Dilation of 1.5 about the origin. (Each new point is 1.5 times as far from the origin.)
G (-1, 3) G' (-1.5, 4.5)
F (-2, -2) F' (-3, -3)
G'x / Gx = -1.5/-1 = 1.5
G'y / Gy = 4.5 / 3 = 1.5
F'x / Fx = -3 / -2 = 1.5
F'y / Fy = -3 / -2 = 1.5
How does the number 7 in 777.77 in the tenths place compare to 7 in the hundredths place
Answer:
0.7 is 7/10 Example out of ten cookies 7 are chocolate chip
0.07 is 7/100 Example out of 100 cookies 7 are chocolate chip
Hope This Helps!!!