Answer:
log x³ y⁴ = 3 log ( x ) + 4 log( y)
Step-by-step explanation:
Given function log x³ y⁴
step(i):-
Applying logarithmic formula
log ( a b ) = log (a) +log (b)
log x³ y⁴ = log ( x³ ) + log( y⁴)
step(ii):-
Applying logarithmic formula
log (x ⁿ) = n log x
log x³ y⁴ = log ( x³ ) + log( y⁴)
log x³ y⁴ = 3 log ( x ) + 4 log( y)
final answer:-
log x³ y⁴ = 3 log ( x ) + 4 log( y)
please help answer thanks
The graph of a quadratic equation opens down when the value of is negative.
Answer:
given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value
Step-by-step explanation:
x = ??
a) 1
b) 3
c) 7
Answer:
X=3
Step-by-step explanation:
Jasmine draws a circle with a radius of 9x². What is the area of her circle?
Answer:
Look at the attachment
If P(-4,-2) and Q(1, -3) represent points in a coordinate
plane. If Q is the midpoint of segment PM, find M.
O (6,-4)
o(-5, -5)
O(-4,6)
(3,1)
Answer:
the answer is (6, -4)
Step-by-step explanation:
Multiply. Your answer should be a monomial in standard form. {(-t^7)(-t^5)}
Answer:
t^12
Step-by-step explanation:
Because both multiplicands are negative, their product will be positive. Both multiplicands are to the same base: t.
Therefore, the product is t^(7 + 5), or t^12.
Can anyone help me with these two questions?
Step-by-step explanation:
Problem 5:
Since parallelogram ABCD has to be a parallelogram, than that means that all opposite sides have to be congruent on it. One side has to be equivalent to the opposite side, so the equation on that line is equivalent to the equation on the opposite side, as well. EXAMPLE: 5x = 3x+10, which turns to 2x = 10, which turns to x = 5.
Problem 6:
Just like Problem 5, the opposite lines in the middle of the rhombus have to be congruent to one another since the given shape must be a parallelogram. So 4x = 8, and that turns to x = 2. I solved all of these problems using multi-step equations.
Hope this helped!
Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (x-2)^2=10(y-3), where x and y are measured in inches. Where is the focus of the flashlight?
Answer:
F(2, 11/2)
Step-by-step explanation:
The expression:
(x-2)² = 10(y - 3)
can be rewritten in the vertex form as follows:
(x-2)² = 10y - 30
(x-2)² + 30 = 10y
1/10(x-2)² + 3 = y
General vertex form is:
y = a(x-h)² + k
then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and a = 1/10
The focus of a parabola is located ar F(h, k+p), where p = 1/(4a). Replacing into these equations:
p = 1/(4*1/10) = 5/2
F(2, 3+5/2) = F(2, 11/2)
Answer:
C is the answer
Step-by-step explanation:
I'm never wrong.
If you pick a number tile from the following set of number tiles, how many possible outcomes are there? {2,4,6,8,10} A. 2 B. 3 C. 4 D. 5
Answer:
D 5
Step-by-step explanation:
1st outcome: 2
2nd outcome:4
3rd outcome:6
4th outcome:8
5th outcome:10
Answer:
5
Step-by-step explanation:
mark me brainliest :)
Using scientific notation, what is the solution to (4.5 * 108) / (1.5 * 105)?
What is the radius of a circle with a circumference of 23.55 feet
Answer:
Thanks for question. I am working my way up to more brainliest and Master Answerer. Every question/point helps
The equation for circumference is x = pi*2*r
First divide by 2 then divide by pi to get r. Use algebra to get this explanation. so 23/2/pi = 3.66. Thats the radius.
Arrange the following ratios in descending order: 2:3, 3:4, 5:6, 1:5 5:6 > 3:4 > 2:3 > 1:5 1:5 > 2:3 > 3:4 > 5:6 2:3 > 1:5> 5:6 > 3:4 5:6 >1:5 > 3:4 > 2:3
Answer:
Option A.
Step-by-step explanation:
The given ratios are 2:3, 3:4, 5:6, 1:5.
We need to arrange these ratios in descending order.
Fraction form of given ratios are
[tex]\dfrac{2}{3},\dfrac{3}{4},\dfrac{5}{6},\dfrac{1}{5}[/tex]
First find LCM of denominators.
[tex]LCM(3,4,6,5)=60[/tex]
Now, make denominator common, i.e., 60.
[tex]\dfrac{2\times 20}{3\times 20},\dfrac{3\times 15}{4\times 15},\dfrac{5\times 10}{6\times 10},\dfrac{1\times 12}{5\times 12}[/tex]
[tex]\dfrac{40}{60},\dfrac{45}{60},\dfrac{50}{60},\dfrac{12}{50}[/tex]
Now, arrange numerator in descending order.
[tex]50>45>40>12[/tex]
[tex]\Rightarrow \dfrac{50}{60}>\dfrac{45}{60}>\dfrac{40}{60}>\dfrac{12}{50}[/tex]
[tex]\Rightarrow \dfrac{5}{6}>\dfrac{3}{4}>\dfrac{2}{3}>\dfrac{1}{5}[/tex]
[tex]\Rightarrow 5:6>3:4>2:3>1:5[/tex]
Therefore, the correct option is A.
Given a line segment that contains the points A,B, & C in order, and given B is the midpoint of AC, if AB = 7x - 2, and BC = 4x + 7, find x. Select one: a. 9 b. - 2 c. 3 d. 7
Answer: the answer is c. 3
Step-by-step explanation:
Subtract 4x from 7x
3x-2=7
Then add 2 to 7
3x=9
Then divide 3 by 3x and 9 by 3
X=3
c. The value of x is 3
What is line segment ?
A line segment is a part of straight line measured between two points.
A line segment always have a definite length.
What is the value of x ?Given, a line segment contains points A, B, C in order.
Also the point B is the middle point of AC.
Hence, we can say that, AB = BC ......(1)
Here, AB = 7x-2 & BC = 4x+7
Therefore, from (1) we get,
7x-2 = 4x+7
⇒ 7x-4x = 7+2
⇒ 3x = 9
⇒ x = 3
The value of x = 3
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What is the solution to the system of linear equations?
2x + y= 5
5x+4y= 11
(3,-1)
(-5,9)
(2, -1)
(5.-7)
Answer:
(3, -1)
x is 3
y is -1
Step-by-step explanation:
Solving for x:
2x+y=5
Subtract y from both sides
2x= -y+5
Subtract 5 from both sides
2x-5= -y
Multiply both sides by 4
8x-20= -4y
5x+4y=11
Subtract 4y from both sides
5x= -4y+11
Subtract 11 from both sides
5x-11= -4y
Combine equations:
5x-11=8x-20
Subtract 5x from both sides
-11=3x-20
Add 20 to both sides
9=3x
3x=9
Divide both sides by 3
x=3
Solving for y:
2x+y=5
Subtract y from both sides
2x= -y+5
-y+5=2x
Multiply both sides by 5
-5y+25=10x
5x+4y=11
Subtract 4y from both sides
5x= -4y+11
-4y+11=5x
Multiply both sides by 2
-8y+22=10x
Combine equations:
-8y+22= -5y+25
Add 8y to both sides
22=3y+25
Divide both sides by 25
-3=3y
3y= -3
Divide both sides by 3
y= -1
please need help I will be MARKING as BRIANILIST. thank you so much.
12.167(option D)
Solution,
[tex]side \: length(s) = 2.3 \\ volume = {s}^{3} \\ \: \: \: \: \: \: \: \: \: \: = {(2.3)}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 2.3 \times 2.3 \times 2.3 \\ \: \: \: \: \: \: \: \: = 12.167 \: {cm}^{3} \\ [/tex]
hope it helps...
Good luck on your assignment....
Answer:C.8.027
Step-by-step
V = s[tex]^{3}[/tex]
The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.
[tex]\frac{dV}{ds}[/tex](s[tex]^{3}[/tex]) =3s[tex]^{2}[/tex]We now plug in s =6
3s[tex]^{2}[/tex] = 3(6)[tex]^{2}[/tex] = 8.027[tex]\frac{cm3}{s}[/tex]please answer i need some help
Answer: - 1.10
Step-by-step explanation:
Point D is one space after -1 before -1.5.
Means it is at -1.10
The sides of a cube are numbered 4, 5, 6, 7, 8, and 9. What is the probability of rolling a 6?
Answer:
1/6
Step-by-step explanation:
out of 6 numbers in total there is only one 6 therefore there is only 1/6 chances
[tex]\frac{1}{6}[/tex]
Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]
Sides of a cube are numbered [tex]4,5,6,7,8,9[/tex]
Probability [tex]=[/tex] Number of possible outcomes [tex]\div[/tex] Total number of outcomes
Number of possible outcomes [tex]=1[/tex]
Total number of outcomes [tex]=6[/tex]
Probability of rolling a [tex]6=\frac{1}{6}[/tex]
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Simplify the following polynomial expression. 3x( 4x+5) -4 (-x-3) (2x -5)
Answer:
20x^2 +19x - 60
Step-by-step explanation:
3x( 4x+5) -4 (-x-3) (2x -5)
Distribute
12x^2 +15x - 4 (-x-3) (2x -5)
FOIL
12x^2 +15x - 4( -2x^2 -6x +5x +15)
12x^2 +15x - 4( -2x^2 -x +15)
Distribute
12x^2 +15x +8x^2 +4x -60
Combine like terms
20x^2 +19x - 60
Answer:
20x ^2 + 19x -60
Step-by-step explanation:
12345678910121314151617181920
What is the value of h?
The graph shows the function f(x) = (2.5) was horizontally
translated left by a value of h to get the function g(x) = (2.5)
-2.
0
2
5
Answer:
Option (1). h = -2
Step-by-step explanation:
This question is incomplete: here is the complete question.
The graph shows the function f(x) = [tex](2.5)^{x}[/tex] was horizontally shifted by a value of h to get the function g(x) = [tex](2.5)^{x-h}[/tex]. What is the value of h ?
From the graph attached,
Point (0, 1) lies on function f(x).
If the graph of function f(x) is shifted h units left horizontally, rule for the translation will be,
f(x + h) → g(x)
For 2 units shift to the left horizontally,
f(x + 2) → g(x)
[tex](2.5)^{x+2}[/tex] = [tex](2.5)^{x-h}[/tex]
By comparing both the sides,
x + 2 = x - h
h = -2
Therefore, Option (1) will be the answer.
Answer:
A -2
Step-by-step explanation:
Which expression gives the length of the transverse axis of the hyperbola
shown below?
Explanation:
Length of transverse axis of hyperbola means distance between both the vertices of hyperbola which is constant given by 2a.
As definition of hyperbola:
Difference in distance of any point (x,y) from both focus is a positive constant equals to length of transverse axis.
So, distance of (x,y) from foci 1)-( distance of (x,y) from foci 2)=2a
x-y=2a
Length of transverse axis is x-y.
hope it helps....
Good luck on your assignment
The length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have given a hyperbola shown in the picture.
The green line indicates the transverse axis of the hyperbola.
As we know,
The distance between the two vertices of the hyperbola, which is always given by 2a, is referred to as the length of the transverse axis.
Any point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length.
x-y=2a
The length of the transverse axis = x - y
Thus, the length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
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Which equation illustrates the commutative property of addition?
12 + 6 + 15 = 12 + 15 + 6
12 + 6 + 15 = 12 + (6 + 15)
12 + 6 + 15 = 18 + 15
12 + 6 + 15 = 12 + 6 + 15
Answer:
12 + 6 + 15 = 12 + 15 + 6
Hope this helps :D
What is the value of x?
6
8
010
O 12
Answer:
8
Step-by-step explanation:
The sum of the internal angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5, hence
sum = 180° × 3 = 540°
Each exterior angle plus interior angle = 180°
Subtract each exterior angle from 180 for corresponding interior angle.
180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118
Sum the 4 interior angles and subtract from 540 for 5 th interior angle
5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°
The 5 th interior angle and 12x sum to 180 ( same reason as above )
Hence
12x + 84 = 180 ( subtract 84 from both sides )
12x = 96 ( divide both sides by 12 )
x = 8
please mark me brainliest :)
What is the tangent ratio for ∠A?
Answer:
1/2
Step-by-step explanation:
The original price of a plane ticket was reduce by 150 if p= the ticket original price in dollars which algebraic expression represents the reduced price?
Answer:
p-150
Step-by-step explanatio
p=precio
reducido=150
se redujo, quiere decir que es "-"
Entonces dice "que expresión presenta el precio reducido"
Entonces sería:
(precio) - (reducido)
p-150
help i still dont understand
Answer:
1. c
2. a
3. d
4. b
Step-by-step explanation:
For 1, use parchment paper for rotating it around the origin.
For 2, just make the y value positive.
For 3, add 13 to the y value.
For 4, use process of elimination with the answer choices.
(I know right, horrible explanation but you wanted the answers right?)
A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
(–13, 9)
(–9, 13)
(9, 13)
(13, 9)
Answer: the answer is C. (9,13)
Step-by-step explanation:
Evaluate the expression for x = -3.
x + 4x + 3
-18
B -16
C 0
Answer:
[tex] - 12[/tex]
Step-by-step explanation:
[tex]x + 4x + 3 \: \: \: \: if \: \: \: \: x = - 3 \\ now \\ ( - 3) + 4( - 3) + 3 \\ - 3 - 12 + 3 = - 12[/tex]
what is the answer for n ?
Answer:
18
Step-by-step explanation:
The formula for interior angles in a ngon is
(n-2)*180
2880/180=16
n-2=16
n=18
Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)
The simplest polynomial expression is
-26x^2+56x-15
Answer: -26x^2 + 56x -15
Step-by-step explanation:
3x(-2x + 7) - 5(x -1) (4x -3)
-6x^2 + 21x - (5x + 5)(4x-3)
-6x^2 + 21x -20x^2 +15x + 20x -15
= -26x^2 + 56x -15
-5.8c + 4.2 - 3.1 + 1.40
Answer:
-3.3
Hope this helps!
