Answer:
x = 3/2
Step-by-step explanation:
Log x^4-logx^3=log 3x-log2x solve
log(x^4/x^3) = log(3x/2x)
Log cancels out
x^4/x^3 = 3x/2x
x^3 * x/x^3 = 3/2
x^3/x^3 * x = 3/2
x = 3/2
Hence the required value of x is 3/2
Write the decimal 2.06 as a mixed number.
Written as a mixed number, the decimal 2.06 is
Answer:
[tex]2\frac{3}{50}[/tex]
Step-by-step explanation:
So 2 would be your whole number
and since 6 is in the hundredths place the fraction would be 6/100 which is reduced to 3/50
Help me on this please
9514 1404 393
Answer:
sin(θ) = 4/5cos(θ) = 3/5tan(θ) = 4/3Step-by-step explanation:
The mnemonic SOH CAH TOA was created to help you remember the relevant trig relationships. It is intended to remind you ...
Sin = Opposite/Hypotenuse
sin(θ) = 4/5
Cos = Adjacent/Hypotenuse
cos(θ) = 3/5
Tan = Opposite/Adjacent
tan(θ) = 4/3
__
In a right triangle, the opposite side (PQ) is the one that is not part of the angle (∠R = θ). The adjacent side (QR) is the shorter side that makes up the acute angle. The longest side (PR) is the hypotenuse.
The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 mm
Answer:
[tex]\dfrac{dV}{dt}=502.65\ mm^3/s[/tex]
Step-by-step explanation:
The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
The rate of change of volume means,
[tex]\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}[/tex]
We have, [tex]\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm[/tex]
So,
[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s[/tex]
So, the volume is increasing at the rate of [tex]502.65\ mm^3/s[/tex].
Help? Please lol um math is hard
Answer:
Ikr
Step-by-step explanation:
I used to be able to know what 1 + 1 but now I have no idea how to solve that
(Im jk btw lol)
Prove that the recurring decimal 0.43333... has the value 13/30
Answer:
0.43ᵣ = 0.1 + 0.33ᵣ = 1/10 + 1/3 = 3/30 + 10/30 = 13/30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
x = 0.43333......
Multiply the equation by 10 on both sides, then we have
10x = 10 × 0.43333......
10x = 4.33333...... ...1
Multiply the equation by 100 on both sides, then we have
100x = 100 × 0.43333......
100x = 43.33333...... ...2
Subtract equation 1 from equation 2, then we have
100x - 10x = 43.3333.... - 4.3333.....
90x = 39
x = 39 / 90
x = 13 / 30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Write the equation of a quadratic function who has the vertex of (4,-7)
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
[tex]y=a(x-4)^2+(-7)[/tex]
[tex]y=a(x-4)^2-7[/tex]
The required equation of the quadratic function is [tex]y=a(x-4)^2-7[/tex] where, a is a constant.
Putting a=1, we get
[tex]y=(1)(x-4)^2-7[/tex]
[tex]y=(x^2-8x+16)-7[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=x^2-8x+9[/tex]
Therefore, the required quadratic function is [tex]y=x^2-8x+9[/tex].
Select a letter for the correct ans
A cone-shaped vase has a height of 15 centimeters and a diameter of 8 centimeters.
What is the volume of the vase? Round to the nearest tenth.
Answer just
Answer:
251.4cm² is the area of the cone-shaped vase.
Help please I give brainliest
Answer:
B
Step-by-step explanation:
Answer:11,15
Step-by-step explanation:
x axis is 11
y axis is 15
y axis stands talll
x axis lays down
HELP ASAP!!!!!! PLEASE
Answer:
(x,y) --> (-y,-x) is the rule
Step-by-step explanation:
(-1,3) to (-3,1)
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Which of the following describes volume? I. the amount of frosting on a cake II. the amount of space in a sock drawer III. the distance between two cities IV. the amount of fabric needed to cover a couch cushion
A. II
B. III
C. IV
D. I
Answer:2
Step-by-step explanation:
Aditi fed her dog 1 1/2
cups of dog food in the morning and
3/4 of a cup of dog food in the evening. How many cups did she feed her dog in all?
Please I need help it’s an emergency
Answer:
32[tex]\sqrt{2}[/tex]
Step-by-step explanation: Feel free to ask questions wanted to answer quick so you wouldn't end up being too late!
3. Given f(x)=-2(5)
Find f (4)
Answer:
f
(
x
)
=
2
, means, whatever be the value of
x
, f(x)=2#.
∴
f
(
−
4
)
=
2
.
what is -5/9 = -10/3 v
Answer:
v= 1/6
Step-by-step explanation:
1. Simiplify 10/3v = 10/3v -5/9= -10v/3
2. Multiply both sides by 3
3. Use this rule : a/b × c = ac/b
4. 5× 3= 15 -15/9= -10v
5. Simiplify 15/9 = 5/3 -5/3 = -10v
6. Divide both side by -10 -5/3/-10=v
7. Two negative make a postive 5/3/10 = v
8. Simplify 5/3/10= 5/3×10
9. Simplify 3×10=30 5/30=v
10. Simplify 5/30 = 1/6v
11. Swith sides v= 1/6
Can yall help me what my teacher talking bout please this is worth 73 point put the answer nd all
math HELPPP MEEEEEEEE
Answer: I HAVE YOUR ANSWER!!!!!
Step-by-step explanation:
51x + 26y + 17
Tony is trying to find the solutions to the quadratic equation 3x2 + 24x - 15 = 0 by factoring and
has come to you for help. Explain why Tony would need to use a method other than factoring to find
the solutions to this equation.
DO NOT SOLVE and be specific in your explanation.
В І у
0 / 1000 Word
Answer:
You would either need to complete the square, use the quadratic equation, or another method because when reduced by the common factor, the constant term c is prime which means that it is only divisible by one and itself. Because the possible rational factors determined by c do not add up to the b term, it cannot be factored.
Explanation:
3x² + 24x - 15 = 0
3(x² + 8x - 5) = 0
[find the greatest common factor between each term and move the coefficient outside of the expression; in this case it's 3 since 3 fits into numbers 3, 24, and -15 so that it cannot be reduced further]
Then you can either use the box or pq method (since a is 1) to find working factors.
x² + bx + c → (x + p)(x + q).
p + q = b.
pq = c.
In this case with 3(x² + 8x - 5), b is 8 and c is -5.
This means we need two numbers that add up to 8 and multiply to -5.
Since -5 is prime, our only options are ±1 for p and ∓5 for q. This is because these are the only factors which multiply to -5.
1 + -5 = -4 ≠ 8
-1 + 5 = 4 ≠ 8.
Since we cannot find rational solutions, this cannot be factored, and so we must use another method.
Cora babysat for 3 1/2 hours and charged at $28. At the same hourly rate, what would she charge for 5 1/2 hours of babysitting?
42.9 goodluck :) ...
If PQRS is a kite, find m angle Q
Answer:
m<Q = 78°
Step-by-step explanation:
First, find the value of x:
7x + 2 = 10x - 31 (Non-vertex angles of a kite are congruent to each other)
Collect like terms
7x - 10x = -2 - 31
-3x = -33
Divide both sides by -3
x = 11
Find m<Q:
Sum of all angles in a kite = 360°
Therefore,
m<Q + m<P + m<S + m<R = 360°
m<Q + (7x + 2) + 124 + (10x - 31) = 360
Plug in the value of x
m<Q + (7*11 + 2) + 124 + (10*11 - 31) = 360
m<Q + 79 + 124 + 79 = 360
m<Q + 282 = 360
Subtract 282 from both sides
m<Q + 282 - 282 = 360 - 282
m<Q = 78°
lol please help i literally cannot do math to save my life
Answer:
[tex]\displaystyle d \approx 3.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian Plane
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point A(-2, 1)
Point B(1, -1)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1+2)^2+(-1-1)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(3)^2+(-2)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{9+4}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{13}[/tex][Distance] [√Radical] Evaluate: [tex]\displaystyle d = 3.60555127546[/tex][Distance] Round: [tex]\displaystyle d \approx 3.6[/tex]Answer:
3.6 units
Step-by-step explanation:
Point A --> [tex]x_{1} \\[/tex] = -2 , [tex]y_{1}[/tex] = 1
Point B --> [tex]x_{2}[/tex] = 1 , [tex]y_{2}[/tex] = -1
AB =
[tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2 } \\\sqrt{[1 - (-2)]^2 + [(-1) - 1]^2} \\\sqrt{3^2 + (-2)^2} \\\sqrt{9 + 4} \\ \sqrt{13} \\3.605[/tex]
distance between AB can be rounded to 3.6 units
Hope it helps.
Please assist me with this Distribution Problem
9514 1404 393
Answer:
1. 6.1 to 10.3
2. 9.6 hours
3. 7.5 hours
Step-by-step explanation:
1. The empirical rule or the supplied chart will tell you that μ ±3σ of the distribution is within 99.7% of the mean. Here, that is ...
8.2 ±3(0.7) = 8.2 ±2.1 = [6.1, 10.3]
The range of hours is 6.1 to 10.3 hours.
__
2. 2.5% of the distribution is above μ +2σ, or ...
8.2 +2(0.7) = 9.6 . . . hours
__
3. The bottom 16% of the distribution is below μ -σ, or ...
8.2 -0.7 = 7.5 . . . hours
Write
1 quadratic function in
vertex form whose graph
has
the vertex (1,2) and passes
through the point (3,10)
Answer:
y = 2 ( x − 1 ) ^ 2 + 2
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (1,2)
h=1, k=2
y = a ( x − 1 ) ^ 2 + 2
sub ( 3,10)
10 = a (3 - 1)^2 + 2
a=2
y = 2 ( x − 1 ) ^ 2 + 2
A function is a relationship between inputs where each input is related to exactly one output.
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
The quadratic function in vertex form is y = 2(x - 1)² + 2.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = x + 2 is a function.
We have,
Quadratic function in vertex form whose graph has the vertex (1,2) and passes through the point (3,10).
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
Now,
(h, k) = (1, 2)
Passes through (3, 10).
So,
10 = a(3 - 1)² + 2
10 = 4a + 2
8 = 4a
a = 2
Now,
The quadratic function in vertex form is y = 2(x - 1)² + 2
Thus,
The quadratic function in vertex form is y = 2(x - 1)² + 2.
Learn more about functions here:
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45 is what percent of 9
i have to show work
Answer:
500%
Step-by-step explanation:
45 divided by 9 x 100 = 500
Answer:
20%
Step-by-step explanation:
1) Calculate fraction's value.
2) Multiply that number by 100.
3) Add the percent sign % to it.
add 10 to p translate into algebraic expression (plss help me)
Answer:
10+p
Step-by-step explanation:
that's pretty much it
Why is m..?
somebody help please
Answer:
The last one
Step-by-step explanation:
The fast reason why - all the other scenarios require 3 lines: 2 lines both parallel to a 3rd, or 2 lines cut by a transversal line, etc. The diagram only shows 2 lines. So the right answer must be the one that doesn't require a third line to be present. :)
The longer answer why - See how angles 2 & 3 have the same style of arc? That is telling you they are of equal measure. So together they are a straight angle, 180°. And they are equal to each other, so 2x = 180° --> each one must be a 90° angle.
Wherever two lines cross, if one angle is a right angle, all 4 angles at the intersection also must be right angles, so everything is perpendicular.
Factorise
7lm - 21lmn
Answer:
7lm - 21lmn
taking common
7lm(1-3n)
Help! I’ll reward brainest its pretty easy
Please I need help it’s an emergency
Answer:
the answer is 36
Step-by-step explanation:
beacuse if we use the pythagorean theorem for 9 and 12 we get 15 which means that the perimeter is P=9+15+12=36
6. 1, 8, 5, 4, 1, 8, 5, 4
Mean
Median
Mode
Answer:
Mean 16.75
Median 15.5
Mode 13
Step-by-step explanation:
This is what I got .____.
tfewfgeeffeefefefwefwewwefewewfefwfew
Answer:
I understand your pain
Step-by-step explanation: sadge