Answer: [tex]\huge\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}[/tex]
Step-by-step explanation: [tex]\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}[/tex]
HELP ASAP 10 POINTS AND BRAINLIST AND 5 STAR AND THANKS BUT IF CORRECT
Step-by-step explanation:
hope it helps you..........
Answer:
[tex](\frac{2}{5} )^{3}[/tex] = [tex]\frac{8}{125}[/tex] [tex]cm^{3}[/tex]
Step-by-step explanation:
1) Enlun mixes 8 cups of pineapple juice and 14 cups of cranberry juice to make a fruit punch. Assuming he always mixes in the same ratio, write an equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c).
a) How many cups of pineapple juice are needed for 63 cups of cranberry juice?
Answer:
p = 4/7c
p = 36 cups when c = 63 cups
Step-by-step explanation:
Cups of pineapple juice, p = 8
Cups of cranberry juice, c = 14
equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c)
p = k * c
Where,
k = constant of proportionality
p = k * c
8 = k * 14
8 = 14k
k = 8/14
k = 4/7
Therefore,
p = 4/7c
How many cups of pineapple juice are needed for 63 cups of cranberry juice?
p = 4/7c
p = 4/7 * 63
= (4 * 63) / 7
= 252/7
= 36
p = 36
p = 36 cups when c = 63 cups
The diagram shows a rectangle. If the perimeter of the rectangle is 66 cm, what is the area of the rectangle?
Answer:
Step-by-step explanation:
Perimeter of the rectangle = P
Base = b
Height = h
Area = A
P = 2b + 2h
P = 66
STEP 1:
2(2x + 1) + 2(x + 5) = 66
Distribute
4x + 2 + 2x + 10 = 66
STEP 2:
Combine like terms and isolate the variable
6x + 12 = 66
6x = 54
x = 9
STEP 3:
Plug in x
A = (2(9) + 1) * (9 + 5)
STEP 4:
Simplify
A = (18 + 1) * (14)
A = (19)(14)
A = 266
[tex]\displaystyle\bf P=2(2x+1+x+5)=66\\\\6x+12=66\\\\6x=54\\\\\boxed{x=9}\\\\2x+1=19\\\\x+5=14 \\\\S=ab=14\cdot19=266 cm^2[/tex]
If AABC IS REFLECTED across the y axis what are the coordinates of A
Answer:
A. (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis: (x, y) ⇒ (-x, y).
Therefore, A(1, 3) ⇒ A'(-1, 3).
Please Help
cube root√(a+b)^-7 * (a+b)^1/3
I have also send photo of question please check
[tex]\sf\huge\underline\red{SOLUTION:}[/tex]
[tex]\sf\rightarrow \sqrt[3]{ {(a + b)}^{ - 7} } \times {(a + b)}^{ \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 7}{3} } {(a + b)}^{ \frac{1}{ 3 } } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ - \frac{7}{3} } {(a + b)}^{ \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ - \frac{7}{3} + \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 7 + 1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 6}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 - 2}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 \times - 2}{3(1)} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 \times - 2}{3 \times 1} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 2}{1} } [/tex][tex]\rightarrow\sf {(a + b)}^{ - 2} [/tex][tex]\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^{2} } }}}[/tex][tex]\sf\huge\underline\red{ANSWER:}[/tex]
[tex]\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^{2} } }}}[/tex]✍︎☘︎ᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴ☘︎
✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ
Answer:
ハハハハハハハバカあなたも答えがわからない質問でも簡単に黙ってバカバカバカバカゴッド
What is the value of x? Show work.
Answer:
x=5
Step-by-step explanation:
This is because the inscribed angle of the circle or angle EFG is equal to the twice of the degree of the arc EG. Therefore, we can create this equation:
12+40=2(8x+10)
12+40=16x+20
20=4x
x=5
if f(x)= 3^x+10x and g(x)= 2(x) = 2x - 4 find (f+g)(x)
Answer:
(f + g)(x) = 3^x + 12x -4
Step-by-step explanation:
Here, we want to get the value of (f + g)(x)
Mathematically, we have this as;
(f + g)(x) = f(x) + g(x)
= 3^x + 10x + 2x-4
= 3^x + 12x -4
Which of the following shows the coordinates of A (6, 12)
after reflection over the y-axis?
Answer:
(- 6, 12 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A (6, 12 ) → A' (- 6, 12 )
which expression is equal to sin w
Answer:
A. Cos S
Step-by-step explanation:
Recall: SOH CAH TOA
Sin W = Opp/Hyp
Opposite = 4
Hypotenuse = 5
Sin W = 4/5
Let's find the ratio for each option given to determine which gives us the same ratio as Sin W.
Option A: Cos S
Cos S = Adj/Hyp = 4/5
Option B: tan W
Tan W = Opp/Adj = 4/3
Option C: cos W
Cos W = Adj/Hyp = 3/5
Option D: sin S
Sin S = Opp/Hyp = 3/5
✔️Thus, sin W = cos S = 4/5
The correct option is A
The two
triangles are similar.
What is the value of x?
Enter your answer in the box:
Answer:
x = 5
Step-by-step explanation:
Sides of large triangle: 4x and 15
Corresponding sides of small triangle: 3x + 1 and 12
[tex] \dfrac{4x}{15} = \dfrac{3x + 1}{12} [/tex]
[tex] 60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12} [/tex]
[tex] 16x = 15x + 5 [/tex]
[tex] x = 5 [/tex]
the quadratic function f(x) = ax² + bx + c has tge minimum point (-2,-9) ans f(-1) = -7 Find (a) values of a,b and c
i'll mark u brainliest pls,help
Hello again,
"katie deleted your answer to the question Hello,a=2, b=8, c=-1Indeed,y=f(x)=ax...
You've been warned"
Answer is a=2, b=8 and c=-1
Indeed:
y=f(x)=ax²+bx+c
Since (-2,-9) is the vertex,
y=k*(x+2)²-9
Or f(-1)=-7 ==> -7=k*(-1+2)²-9 ==> k=2
f(x)=2(x+2)²-9=2*(x²+4x+4)-9=2x²+8x+8-9
f(x)=2x²+8x-1
A proof: the picture is following.
FACTOR....
x^2 + 10× - 2400 = 0
Answer:
x= -5 + 5[tex]\sqrt{97}[/tex], x= -5 - 5[tex]\sqrt{97}[/tex]
Step-by-step explanation:
Since this quadratic is set to zero, we can use the quadratic formula to solve this.
x^2 + 10x - 2400 = 0
Quadractic formula = x= -b +- [tex]\sqrt{b^2 - 4ac}[/tex] /2a
For this equation:
a= 1, b=10, c=-2400
Plug these numbers into the equation and solve.
x= -10 +- [tex]\sqrt{10^2 - 4(1)(-2400}[/tex])/2(1)
x= -10 +- [tex]\sqrt{100 + 9,600}[/tex]/2
x= -10 +- [tex]\sqrt{9,700}[/tex]/2
x= -10 +- [tex]\sqrt{2^2 * 5^2 * 97}[/tex]/2
x= -10 +- 5 * 2[tex]\sqrt{97}[/tex]/2
x= -10 +- 10[tex]\sqrt{97}[/tex] / 2
Divide by 2.
x= -5 +- 5[tex]\sqrt{97}[/tex]
Answer:
x= -5 + 5[tex]\sqrt{97}[/tex] or x= -5 - 5[tex]\sqrt{97}[/tex]
help please
h - (-2) ≥ 10
Answer:
answer
Step-by-step explanation:
h+2 ≥ 10
h ≥ 10 - 2
h ≥ 8
Worth 11 points please help me!
Answer:
124°
I hope it's helps you
What is the Measure of arc XY?
Answer:
Arc XY = 180- 43
= 137º
answer is C
Step-by-step explanation:
pls help- the question kept cutting off before:
If cos(πr) = 2 cos(πr) and 0 < r < 3, what is one possible value of r?
Answer:
r can be 0.5
Step-by-step explanation:
Here, we want to get a possible value of r
From the question, the value of r is between 0 and 3
Mathematically, we know that in degrees pi is the same as 180 degrees
In a case where we have r = 1/2
we have it that;
cos(pi/2) = 2 cos (pi/2)
Since pi/2 is 90 and cos 90 is zero; then we have it that the two sides of the equation is the same and r can be 1/2
exterior angle equation is 3p-15 interior angles are p and p+15
9514 1404 393
Answer:
p = 30
angles 30°, 45°; exterior: 75°
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angle:
3p -15 = p + (p +15)
p = 30 . . . . . . . . . . . . . add 15-2p
The interior angles are 30°, 45°; the exterior angle is 75°.
Lol do yu guys know this?? plz help
Answer: Choice C. 32,768
Explanation:
2.5 hours = 2.5*60 = 150 minutes
150/10 = 15
There are 15 periods that are 10 minutes each in a 2.5 hour timespan.
y = a*b^x
y = 1*2^15
y = 32,768
If you started with a = 1 bacterium, then it will double a total of 15 times to end up with 32,768 bacteria after the 2.5 hour period.
2(4+2x)≥5x+5 solve inequality
Answer:
x ≤ 3
Step-by-step explanation:
2(4+2x)≥5x+5
8+4x≥5x+5
4x-5x≥5-8
-x≥-3
x ≤ 3
[tex]\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3][/tex]
if A={1,2,3} and B={a,b,c} find A×B and B×A. Also show both of them in arrow diagram. I need for exam
Answer:
the above answer help you guy.
como se lee el número decimal 0.3
find the value of the expressions 3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2
Hi!
[tex]3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}[/tex]
Printed Pages in Color Time (min), x 2 6 8 18 Number of pages, y 3 9 12 27 What is the constant of variation?
Answer:
3/2
Step-by-step explanation:
formula k = y/x
comes from
y = kx
k = constant of variation
when y = 3 , x = 2
k = 3/2
2. A rectangle has length 13 and width 10. The length and the width of the rectangle are each
increased by 2. By how much does the area of the rectangle increase? *
50
20
38
35
For what value of b will f(x) = x^2 + bx + 400 have -20 as its only zero? Record your answer and fill in the bubbles on your answer document.
The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero then the value of b is 40.
The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero
Then x=-20
What is the zero of a polynomial?The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.
x=-20 is the zero of the given polynomial
Therefore it satisfies the given polynomial
[tex]f(-20)=(-20)^2+b(-20)+400[/tex]
[tex]0=400-20b+400\\800-20b=0\\-20b=-800\\b=\frac{-800}{-20} \\b=40[/tex]
Therefore the value of b is 40.
To learn more about the zeros of the polynomials visit:
https://brainly.com/question/12461081
A blue chip company that makes computer chips found that 2 out of
every 300 chips are defective. What is the percentage of the defective
chips?
RE
со
Answer: Approximately 0.667%
Work Shown:
2/300 = 1/150 = 0.00667 = 0.667%
So less than 1% of the chips are defective.
The side length of the cube is 5 cm. Find the volume of the cube.
Answer:
125 cm³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify variables
a = 5 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cube Formula]: V = (5 cm)³Evaluate exponents: V = 125 cm³Answer:
[tex]\huge\boxed{V=125cm^3}[/tex]
Step-by-step explanation:
The formula of a volume of a cube with edge [tex]a[/tex]:
[tex]V=a^3[/tex]
We have [tex]a=5cm[/tex].
Therefore the volume is:
[tex]V=(5cm)^3=5cm\cdot5cm\cdot5cm=125cm^3[/tex]
NEED ANSWER ASAP GIVING BRAINLIEST
Answer:
(-1,1)
Step-by-step explanation:
(x,y), and X is one unit to the left (negative, or -), while Y is one unit up
If f(-x) = 0, what is x?
O only
-6 only
-2,1, or 3 only
-6,-2, 1, or 3 only
Answer:
3rd option
Step-by-step explanation:
f(x) = 0 are the points on the x- axis where the graph crosses, the zeros
The graph crosses the x- axis at - 2 , 1 and 3
How many orders of magnitude bigger is 23,000 than 56?
Orders of Magnitude are in terms of scientific notation.
23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)
56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.
4 - 1 = 3
2300 is 3 order of magnitudes larger.
The answer is 3.
