Answer:
[tex]248 + 18\sqrt{15}[/tex]
Step-by-step explanation:
[tex](9\sqrt{3}+\sqrt{5} )(9\sqrt{3}+\sqrt{5} )=(9\sqrt{3}+\sqrt{5} )^2[/tex]
[tex]81 \cdot 3 + 2\cdot 9\sqrt{3} \cdot \sqrt{5} + 5[/tex]
[tex]243 + 18\sqrt{15} + 5[/tex]
[tex]248 + 18\sqrt{15}[/tex]
integrated Mann ist Quarter)
English
Given f(x) = 3x-1 and g(x) = 2x-3, for which value of x does slx) = f(2)?
3
PRO X-2
5
O X=
2
O x=4
Answer:
[tex]g(x)=f(2)[/tex] for x = 4
Step-by-step explanation:
If [tex]f(x)=3x-1[/tex]
and [tex]g(x)= 2x-3[/tex]
Then for which value of "x" does [tex]g(x)=f(2)[/tex] ?
So start by evaluating what [tex]f(2)[/tex] is:
[tex]f(x)=3x-1\,\,\,\,therefore\,\,\,\, f92)=3\,(2)-1=6-1=5[/tex]
Then,we have to find for which value of x [tex]g(x)=5[/tex]
so we write g(x) explicitly:
[tex]2x-3=5\\2x=5+3\\2 x = 8\\x = 8/2\\x=4[/tex]
how many boards,each 2 ft and 8 inches long, can be cut from a board 16 inches long?
Answer: 2
Step-by-step explanation: 16/8=2
--19 - 3x = -2 - 3 (x + 4) = Can someone plsss help me with this problem?
Answer:
-19-3x= -1(x+4).
-19-3x= -5(x+4).
-19-3x= -5x-1.
-19+1= -5x+3x.
-18= -2x.
x=9.
calculate the mid points of the line segments below using the midpoint formula given two endpoints (7,6) (10,10)
Answer: (8.5, 8)
Step-by-step explanation:
Question 18 (5 points)
Which one of the following statements expresses a true proportion?
A) 3:4 = 9:12
B) 2:1 = 1:2
C) 7:9 = 8:9
D) 54:9 = 6:3
Answer:
A is the true proportion
Step-by-step explanation:
3/4 = 9/12 = 36 = 36
Ben is 6 feet tall. At a certain time of day, Ben's shadow appears on the ground to be 6 feet long. What is the angle of elevation of the sun at this time
Step-by-step explanation:
let us consider the elevation of the sun is x
then
x=6×6
x=36
find the product of : 0.017 and 10
please type the steps you used to set up the problem and type your steps to solve.
Answer:
0.17
Step-by-step explanation:
0.017 times 10 equals to 0.17
(20 points!) Simplify i^31. A. 1 B. -1 C. i D. -i
Answer:
-i
Step-by-step explanation:
rewrite
one to any power is one
multiply
rewrite
Answer:
-i
Step-by-step explanation:
i^30 × i
(i^2)^15 × i
(-1)^15 × i
-1 × i
-i
Doug can download new songs for $1.19 each. Write an equation to show how many songs he can download for $12.00.
help and ill give brainly.. trust me its easy
Answer:
a - right trapezoid
b - isosceles triangle
c - equilateral triangle
d - kite
Answer:
A) [tex]\huge\boxed{Trapezoid }[/tex]
Because of a pair of parallel lines.
B) [tex]\huge\boxed{Isosceles \ Triangle}[/tex]
Because of two equal sides.
C) [tex]\huge\boxed{Equilateral \ Triangle}[/tex]
Because of three equal sides.
D) [tex]\huge\boxed{Kite}[/tex]
Having 2 pairs of equal adjacent sides.
please help me answer the assignment in the picture.
Mean: 52.2 because its the average of all the numbers
Range: 2 because (60-58)
Median: 53 because its in the middle of all the numbers
Mode : None
Simplify: 6-a(4-a)-2a
Answer:
a^2 - 6a + 6
Step-by-step explanation:
6−a(4−a)−2a =
6+a2+−4a+−2a
6+a2+−4a+−2a
(a^2)+(−4a+−2a)+(6)
a2+−6a+6
=a^2−6a+6
The elevation at Mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between Mt. Everest and the Dead Sea
R is between Q and S. If
RS = 44.6 and
SQ = 68.4, find QR.
Answer:
23.8
Step-by-step explanation:
To find the value of QR, look over the information given. R is a point between the points Q and S. Since the value of SR is 44.6, and the value of SQ is 68.4, subtract 44.6 from 68.4 to get 23.8, which will be the answer.
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B. Write an expression in terms of r and p.
Answer:
[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]
Step-by-step explanation:
Given that:
Last Sunday a certain store sold copies of Newspaper A for $1.00 each
A = 1
and copies of Newspaper B for $1.25 each,
B = 1.25
and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B.
Then ;
[tex]r = \dfrac{A}{A+1.25B} \times 100[/tex] --- (1)
[tex]p = \dfrac{A}{A+B} \times 100[/tex] --- (2)
From (2)
[tex]A+B = \dfrac{A}{p} \times 100[/tex]
[tex]B = \dfrac{A}{p} \times 100-A[/tex]
[tex]B = \dfrac{A( 100-p)}{p}[/tex]
Substituting the value of B into equation (1), we have:
[tex]r = \dfrac{A}{A+1.25 \times { \dfrac{A( 100-p)}{p}}} \times 100[/tex]
[tex]r = \dfrac{A}{A+1.25 \times { A( 100-p)}} \times 100p[/tex]
[tex]r = \dfrac{100p}{p+125 -1.25 p}[/tex]
[tex]r = \dfrac{100p}{125 -0.25 p}[/tex]
multiplying both numerator and denominator by 4; we have
[tex]r = \dfrac{4(100p) }{ 4(125 -0.25) p}[/tex]
[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]
P(x) = 3x^4 – 2x3 + 2x² – 1
What is the remainder when P(x) is divided by (x + 1)?
Answer:
6
Step-by-step explanation:
Hello, we can use the Remainder Theorem, so the remainder is P(-1)
[tex]P(-1)=3+2+2-1=6[/tex]
Thanks
is -25 irrational or rational
Answer:
Rational
Step-by-step explanation:
Rational numbers are numbers that can be written as a ratio of integers.
-25 can be written as -25 / 1. So it is rational.
The net force, F newtons, needed to push a block
to the mass, m kg, of the block. When m = 5
F = 49.
(i) Find an equation connecting F and m.
(ii) Find the value of F when m = 14.
(iii) Calculate the value of m when F= 215.6.
(iv) Draw the graph of F against m.
AMSWER
F=m×a
this implies that
a=F/m
a=49/5
a=9.8 m/s^2
(i)F=(m×9.8)N
(ii)F=14×9.8=137.2
(iii)m=F/a
m=215.6/9.8
m=22kg
Your neighbor has a square shaped pool with side lengths of 3a5. What is the area of the pool?
Answer:
15a
Step-by-step explanation:3times3times3times3times3
help if you’re feeling generous today!! thank youu
Answer:
The answer is option 3Step-by-step explanation:
4x² - 2y
when
x = - 2 and y = - 1
Substitute the values of x and y into the expression and simplify
That's
[tex]4( - 2)^{2} - 2( - 1) \\ = 4(4) + 2 \\ = 16 + 2[/tex]
We have the final answer as
18Hope this helps you
Answer:The answer will be -18 because you are subtracting 2 two times!!
Step-by-step explanation:Simply step by step by step answer Hope this helps!️.
D2 =4 is true for ? Please help and explain how to do these kind of problems I’m strugglingggg
Answer:it’s ask me in Jakes class we’re numbered in Order from 1 to 24 jake was asked to choose classmates numbered with 5 to be in his group witch numbered could be the number of classmates in his group
Step-by-step explanation:
Identify the property used in each step. 12.2 + 18.6 + –4.3 + (–18.6) 12.2 + –4.3 + 18.6 + (–18.6) 12.2 + –4.3 + [18.6 + (–18.6)] 12.2 + –4.3 + (0) 12.2 + –4.3 7.9
Answer:
Commutative Property
Associative property
Additive inverse
Identity property
Step-by-step explanation:
In a commutative property multiplication and addition which posses commutative property takes place without considering the order of arrangement of data
12.2 + 18.6 + –4.3 + (–18.6)
12.2 + –4.3 + 18.6 + (–18.6)
The second step results into the presence of a commutative property.
The next step 12.2 + –4.3 + [18.6 + (–18.6)] is an associative property because here, re-grouping of numbers which gives the same result takes place
[18.6 + (–18.6)] is an additive inverse since the result is zero. Additive inverse occurs when the addition of a number to another number results into zero
12.2 + –4.3 + (0) is an Identity property
Identity property occurs when the addition of any number with zero eventually resulted into that number.
Answer:
Commutative Property
Associative property
Additive inverse
Identity property
Step-by-step explanation:
Help me answer this, please!
Answer: see attachments
Step-by-step explanation:
How many solutions does 10 + 5c = 5c
Answer:
No solutions
Step-by-step explanation:
Step 1: Write out equation
10 + 5c = 5c
Step 2: Subtract 5c on both sides
10 + 5c - 5c = 5c - 5c
10 ≠ 0
Since 10 doesn't equal 0, we do not have a solution for this equation.
Answer:
no solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
10+5c=5c
Step 1: Simplify both sides of the equation.
5c+10=5c
Step 2: Subtract 5c from both sides.
5c+10−5c=5c−5c
10=0
Step 3: Subtract 10 from both sides.
10−10=0−10
0=−10
Answer:
There are no solutions.
HOPE THIS HELPS!!!!!! :)
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Micah harvested 28 watermelons from his garden. He sold w watermelons at the market. Which expression describes the number of
watermelons that Micah has remaining?
w
28 + w
w-28
d
28 - w
How many integers at between 15 and 63?
Answer:
47
Step-by-step explanation:
Ok first lets do this with small numbers like 10 and 5. How many integers are between 10 and 5? which does not include 10 or 5. You do 10 minus 5 which is 5, but if you count how many integers are between them with your fingers you get 4.
so now you know to get the integers between 2 large numbers you subtract like normal then you mines a 1.
so 63 - 15 - 1 = 47
There are 47 integers between 15 and 63
Hope this helps :)
There have been 47 integer arithmetic in the range of 15 to 63.
Number of integer between two number = Highest number - Lowest number - 1
So,
Number of integer between 15 and 63
63 - 15 - 1
63 - 16= 47
So,
Number of integer between 15 and 63 = 47
Learn more:
https://brainly.com/question/13212492?referrer=searchResults
Simplify the expression, show all of your work 18 : 2x3 / 5-2
Answer:
2⋅(x 3 −5)
________
5
Step-by-step explanation: I hope this really help!
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x3" was replaced by "x^3".
STEP
1
:
x3
Simplify ——
5
Equation at the end of step
1
:
x3
(2 • ——) - 2
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
2 2 • 5
2 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2x3 - (2 • 5) 2x3 - 10
————————————— = ————————
5 5
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x3 - 10 = 2 • (x3 - 5)
Trying to factor as a Difference of Cubes:
3.2 Factoring: x3 - 5
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check : 5 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
Polynomial Roots Calculator :
3.3 Find roots (zeroes) of : F(x) = x3 - 5
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -5.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,5
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -6.00
-5 1 -5.00 -130.00
1 1 1.00 -4.00
5 1 5.00 120.00
Polynomial Roots Calculator found no rational roots
Final result :
2 • (x3 - 5)
————————————
5
Answer:
2⋅(x 3 −5)
________
5
Step-by-step explanation:
The sum of an AP is 549. Given that the common difference is 3,find
i. The 56th term
ii. The sum of its 32 terms
Step-by-step explanation:
[tex]\red\star[/tex]Given[tex]\blue\star[/tex]sn = 549
[tex]\blue\star[/tex] d = 3
[tex]\star[/tex]Find[tex]\blue\star[/tex]56th term of Ap
[tex]\blue\star[/tex]the sum of 32 tem
Camden is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 5 points. What would be Camden’s test score out of 50 if he got 2 questions wrong? What would be his score if he got x questions wrong
Answer:
1. 40 points2. 50-x pointsStep-by-step explanation:
1. Given that the total number of points is 50
2. Each question is worth 5 points
We can now calculate the number of questions by dividing the total points by the worth of each question
the number of question is = 50/5= 10
hence there are 10 questions available
if he misses 2 questions, which will amount to 10 points his score will be
50-10 = 40 points
Hence if he got x questions wrong his score will be
50-x points
helppppppppppppppppppppppppppp brainliest!!!
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
r = [tex]\frac{5}{8}[/tex] t - 9 ← is in slope- intercept form
with y- intercept c = - 9
Function 2 has the ordered pair (0, - 9 )
This indicates that when t = 0 , r = - 9
This is the y- intercept at - 9
Thus both functions have the same y- intercept