To change logarithmic form to exponential form, spot the logarithmic equation's base and move the base to another side to the equal sign. Moving the base will make the current number or variable into the exponent.
Do not move something but the base: the other numbers or value will not change sides, and the word "log" will be release.
Log Rules:
1. the first rule is logb(mn) = logb(m) + logb(n)
2. the second rule is logb(m/n) = logb(m) – logb(n)
3. the third rule is: log b (mn) = n · logb(m)
1. Multiplication can be turned outside the log into addition and vice versa can be turned.
2. Division can be spin outside the log into a subtraction, and vice versa.
3. An exponent can be proceeded as a multiplier outward on all within a log, and vice versa.
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A B. C A3 x 3 matrix is above. It has a pattern going both horizontally across the rows and vertically down the columns. The pattern is not necessarily the same in both directions. There is one object that fits correctly in the bottom right corner of the matrix. Choose this object from the list below the matrix Select one: a. A ОБ. В Ос, с d. D e. E f.F 8.G h. H
We can conclude from answering the above question that the first two patterns of the matrix form a sequence in the third from top with the numbers 4-2-6.
what is matrix i?A matrix is a set of numbers arranged in rows and columns. learns about the elements and dimensions of matrices and introduces them for the first time. A rectangular grid of numbers in rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. Its single row and 1 n row matrix order are the reasons behind its name. A = [1 2 4 5] is a row matrix of order 1 by 4, for instance. P = [-4 -21 -17] of order 1-by-cubic is another illustration of a row matrix.
We can conclude from answering the above question that the first two patterns of the matrix form a sequence in the third from top with the numbers 4-2-6.
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The ratio of the measures of the three angle in a triangle is 15:8:13. Find the measure of the three angles.
Answer:
a=15x; b=8x; c=13x
180°=a+b+c=15x+8x+13x=36x
=> x=180÷36=5
=> a=15×5=75°; b=8×5=40°; c=13×5=65°
5. QRST is a Rhombus. The diagonals intersect at point 0. mZROS = 7x1, mzSTO= 4x - 22, QT = 4y + 2, ST = 8y-8 R T S X= y = mZTOQ = mzQRS = Perimeter QRST=_
The value of x is 18.45°.
The value of y is 2.5 units.
The measure of the angle TOQ is 128.15°.
The measure of the angle QRS is 90°.
The perimeter of QRST is 36 units.
What is a rhombus?A quadrilateral with all equal sides is a rhombus. Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposite sides of a parallelogram are equal.
Given, m∠ROS = 7x - 1, m∠STO= 4x - 22.
We know the sum of linear pair of angles is 180°.
Therefore,
7x - 1 + 4x - 22 = 180.
11x = 203.
x = 203/11.
x = 18.45°.
Also given that line segment QT = 4y + 2 and ST = 8y - 8.
We know the sides of a rhombus are of equal length.
Therefore,
4y + 2 = 8y - 8.
- 4y = - 10.
4y = 10.
y = 10/4.
y = 2.5.
We know vertically opposite angles are equal hence m∠ROS = m∠TOQ.
= 7(18.45) - 1.
= 128.15°.
m∠QRS is 90° as all four interior angles of a rhombus are right angles.
The perimeter of QRST is 4×(QT).
= 4×(10 + 2).
= 4×12.
= 36 units.
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What is the degree of 3x³?
Answer:
3x³ is a polynomial of degree
The degree of the polynomial 3x³ is 3
PLS HELP QUICK
how do i solve this
Answer:
[tex]\pi \times r = 3.14 \times 5 = 15.7[/tex]
Perry learned to play a total of 18 piece over the coure of 9 week of piano leon. After 12 week of piano leon, how many total piece will Perry be able to play? Solve uing unit rate
In a course of 12 weeks, Perry will be able to play a total of 25 pieces of the piano Leon.
A total of 18 pieces of piano are learnt by Perry in a course of 9 weeks.
By using simple algebra, we can find the number of pieces that will be played by Perry in one week,
So, we can write, The learing speed,
Number of piano pieces learnt = Weeks
19 pieces = 9 weeks
Learning speed = 19/9 Pieces per week
So, the number of pieces learnt in 12 weeks is,
Number of pieces learnt = 19/9 x 12
Number of pieces learnt = 25.22
Number of pieces learnt = 25
So, Perry will be able to play 25 pieces.
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FINAL!! Pls help
1. What is the y-value of the solution to the system of equations?
-7x + 5y = 6
7x + 4y = 12
Answer:
(4/7,2)
Step-by-step explanation:
x= 4/7
y= 2
Please its due today
a) The domain and the range of the function are given as follows:
Domain: [-4,5).Range: [0,9].b) The zero of the function is given as follows: (3,0).
c) The behaviors are given by these following intervals:
Increasing: (-4,0) U (3,5).Decreasing: (0,3).Constant: DNE.d) The extremas are given as follows:
Relative minimum: (3,0).Relative maximum: (0,9).e) The function is neither even nor odd.
What are the features of the function?The domain of a function is the set that contains all the input values for the function, hence in the graph it is given by the values of x.
The range of a function is the set that contains all the output values for the function, hence in the graph it is given by the values of y.
The zeros are the points of the function at which it either crosses or touches the x-axis.
The function is increasing when the graph is moving up, and decreasing it the graph is moving down.
The extremas are given as follows:
Relative minimum: function changes from decreasing to increasing.Relative maximum: function changes from increasing to decreasing.The function is classified as even, odd or neither as follows:
Even: f(x) = f(-x) for all values of x.Odd: f(-x) = -f(x) for all values of x.Neither: none of the two above statements are true.More can be learned about functions at https://brainly.com/question/24808124
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How do I do this ? Because I’m having trouble with problems like this .
Answer:
[tex]\sqrt[3]{x^{9} x}[/tex]
Step-by-step explanation:
When you are multiplying powers that have the same bases (in this case x) you add the exponents. If you do not see an exponent, the exponent is 1.
9 + 1 = 10
Suppose a basketball team had a season of games with the following characteristics:
Of all the games, 60% were at-home games. Denote this by H (the remaining were away games)
Of all the games, 25% owere wins. Denote this by w (the remaining were losses).
Of all the games, 20% were at-home wins.
If the team won a game, how likely is it that this was a home game? (Note: Some answers are rounded to 2 decimal places.)
A. 0.05
B. 0.12
C. 0.15
D. 0.42
E. 0.80
Answer:
E
Step-by-step explanation:
Find the midpoint between p and q.
p = (12,-3,6)
q = (-9,2,0)
Answer:
A on edge
Step-by-step explanation:
( 3/2, -1/2, 3)
6. Find cos C using the triangle below. Answers may be in decimal OR fraction form.
In a chess club the probability that Shaun will beat Mike is 3/8 .
The probability that Shaun will beat Tim is 5/7 .
(Assume all the games are independent of one another)
If Shaun plays 1 game with Mike and then 1 game with Tim, what is the probability that Shaun loses both games?
Answer:
11%
Step-by-step explanation:
Shaun's percentage of winning against Mike is 8/11 or 73%
Shaun's percentage of winning against Tim is 7/12 or 58%
Shaun's percentage of losing against Mike is 100-73 = 27%
Shaun's percentage of losing against Tim is 100-58 = 42%
Shaun's percentage of losing against Mike and Tim is .27 x .42 which is approximately 11%
The price of a particular stock is represented by the linear equation y = negative 0.91 x + 103.47, where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars. If this relationship continues, what is the price of the stock after it has been owned for 12 weeks?
Answer:
Step-by-step explanation:
We have, C(x) = 0.005x3 – 0.02x2 + 30x + 5000
Clearly, the marginal cost, MC (x) = \(\frac{d}{d x}\)C(x)
= \(\frac{d}{d x}\)(0.005x3 – 0.02x2 + 30x + 500)
= 0.005 × 3x2 – 0.02 × 2x + 30 + 0
= 0.015x2 – 0.04x + 30
Now, marginal cost when 3 units arei produced
MC(3)= 0.015(9) – 0.04(3) + 30
= 0135 – 0.12 + 30= 30.015
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 29 ft. long and 19 ft. wide. If the gardener wants to build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.)
Answer:
141.6925 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of rectangle = LW
A = 29 x 19 = 551 [tex]ft^{2}[/tex]
Semicircle = [tex]\frac{\pi r^{2} }{2}[/tex]
[tex]\pi[/tex] = 3.14
r = 19/2 = 9.5
[tex]\frac{(3.14)(9.5^{2}) }{2}[/tex]
(9.5)^2 = 90.25
3.14 x 90.25 = 283.385
283.385/2 = 141.6925 [tex]ft^{2}[/tex]
Carlos has 38. he puts 8 apples into each bag. If he fills as many bags as possible, how many apples are left?
Answer: 6 is how many apples are left
Step-by-step explanation:
a=1/2(a+b)h work out the value of A when a=7, b=6 and h=10
Answer:
A = 65
Step-by-step explanation:
A = 1/2(7+6)·10
A = 5(7+6)
A = 5(13)
A = 65
Someone please Help me it’s due soon !!!! Use steps please
Answer:
4/3 or 1 1/3
Step-by-step explanation:
cube root of 64 = 4
cube root of 27 is 3
4/3 or 1 1/3
What is the solution to the equation below?
log, x = 3
O A. x = 0.5
O B. x = 729
O C. x = 2
O D. x = 19,683
√(4/7)² solve for points
Answer:
unless I'm confused this morning, the square root of a squared number is equal to the number, so:
4/7 would ne my answer
Step-by-step explanation:
For m(x)=
-3/4x+6, find the value of x for which m(x) = 0.
The value of x when m(x) = 0 is 8.
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.
The given function is,
m(x) = -3/4 x + 6
Here the value of m(x) depends on the value of x.
m(x) = 0
-3/4 x + 6 = 0
-3/4 x = -6
x = -6 ÷ -3/4
x = 6 × 4/3
x = 8
Hence when m(x) = 0, the value of x is 8.
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help last question A semicircular mat has a diameter of 18 m. What is the area of the mat?
Answer:
127.2
Step-by-step explanation:
The area of a semicircle is:
[tex]\frac{\pi r^{2} }{2}[/tex]
So to figure it out we first find the diameter:
18÷2=9
Then we plug it into the equation
[tex]\frac{9^{2}\pi }{2} = \frac{81\pi}{2}[/tex] Which we can put into a calculator to get 127.2345... so we round to 1 d.p to get our answer, 127.2 (the fifth digit, 3, rounds down)
Jean Junction is selling jeans at 15% off the regular price the regular price is $25 per pair what is the discount amount
Answer:
15% off means take $3.75 off the regular price
Step-by-step explanation:
$25(0.15) = $3.75
$25 - $3.75 = $21.75 sale price
PPEASE HELP ONLY ANSWER IF YOU KNOW
Step-by-step explanation:
In order to rotate a coordinate point by 90° in the counterclockwise direction, follow the following transformation rule:
(x, y) ---> (-y, x)
Here is the list of the coordinates of the points on the fan blade and next to it is a list of points that are rotated by 90° in the counterclockwise direction:
Normal. Rotated
(x, y) (-y, x)
(3, 1) (-1, 3)
(5, 2) (-2, 5)
(8, 4) (-4, 8)
(9, 6) (-6, 9)
(8, 8) (-8, 8)
(6, 9) (-9, 6)
(4, 8) (-8, 4)
(2, 5) (-5, 2)
(1, 3) (-3, 1)
Simply repeat the pattern for the other two blades.
A box of highlighters originally cost
$
18
. It goes on sale at
10
%
off the original price.
Fill in the blanks:
Original percentage
=
%
Percentage off
=
%
Percentage left over
=
%
Complete the number sentence to show how to find the sale price of the box of highlighters:
Sale price
=_______% x $18
Answer:
Answer = 15
Step-by-step explanation:
10% is taking away the precentage away from the original price. 2, 4, 6 ,8 ,10, 12 ,14 ,16,18 is the 100% Its the WHOLE number. youre taking away 10% off.
What the answer is? Please answer fast!
Answer:
A
Step-by-step explanation:
it includes all the combinations.
Let g be a twice-differentiable function with g'(x) > 0 and g"(x) > 0 for all real numbers x, such that
g(3) 12 and g(5) = 18. Which of 20, 21, and 22 are possible values for g(6) ?
(A) 21 only
(B) 22 only
(C) 20 and 21 only
(D) 21 and 22 only
g(6) must be greater than 21 which is 22 only.
What is function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.
Since g'(x) > 0 for all x and we know that g(x) is an increasing function.
Additionally, since g"(x) > 0 for all x, we know that g(x) is a concave-up function.
Since g(x) is increasing, we know that g(6) > g(5) = 18.
Now, we can use the fact that g(x) is concave-up to find a lower bound on g(6).
By the definition of concave-up, we know that the slope of the tangent line to g(x) is increasing.
This means that the slope of the line connecting (3,g(3)) to (5,g(5)) is less than the slope of the line connecting (5,g(5)) to (6,g(6)).
Using this information, we can find a lower bound on g(6):
g(5)- g(3) / (5-3) < g(6)- g(5)/ (6-5)
18- 12/2 < g(6)- 18
3 < g(6) - 18
g(6) > 21
Therefore, g(6) must be greater than 21.
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Please help me, i’m stuck and confusedd..
i need help REALLY FAST what is the distance between the points (-1, -3 3/4) and (-1, 4 1/2) ?
Answer:
8 1/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
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
Identify
Point (-1, -3.75)
Point (-1, 4.5)
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--1)^2+(4.5--3.75)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(0)^2+(8.25)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{0+68.0625}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{68.0625}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 8.25[/tex]A parabola has a maximum value of 4 at x = -1, a y-intercept of 3, and an x-intercept of 1.
Which graph matches the description?
Answer:
Step-by-step explanation:
The second graph is the right one. Note that when x = 1, y (the maximum) is 4, and that the x-intercepts are -3 and 1.
The x-intercepts are -3 and 1.
We have given,
A parabola has a maximum value of 4 at x = -1,
A y-intercept of 3, and an x-intercept of 1.
What is the maximum point of the graph?The maximum value of a graph is the point on the graph where the y-coordinate has the largest value.
A maximum graph is one that represents the largest value of the y-coordinate.
The second graph is the right one.
Note that when x = 1, y (the maximum) is 4,
and that , The x-intercepts are -3 and 1.
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