Answers
Related Questions
What is the value of log4 2?
Answers
Answer:
1/2
Step-by-step explanation:
type it into the calculator
The value of logarithm log base 4(2 is 1/2.
What is Logarithm?The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
Given:
Rewrite as an equation.
log base 4(2)=x
and, Rewrite log base 4(2)=x in exponential form using the definition of a logarithm. If x and b are positive real then
log (base b) x= y equivalent to [tex]b^y[/tex] = x
Create expressions in the equation that all have equal bases.
log base 4(2)=x
[tex](2^2)^x[/tex] = 2
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2x = 1
x= 1/2.
Learn more about Logarithm here:
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What is the mead absolute deviation of this data set?
A) 1.56
B) 143
C) 14.3
D) 15.6
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Use the Pythagorean theorem to find the unknown side of the right triangle.
Hypotenuse length_____
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Answer: If you use a^2+b^2=c^2 formula you should get your answer of 39
Step-by-step explanation:
Consider the following graph, which details the population of a city over time. A line graph titled Population (thousands) has year on the x-axis and number on the y-axis. The points are connected by a line that gradually increases. What aspect of the graph is likely being emphasized by the choice of graph style, choice of scale, and so on? a. the sharp differences between individual data points b. the disjoint nature of the data collected c. the strong distinction between each year’s data d. the extended, continual growth of the population
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Answer:
d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
edge 2020/21
What is
as a percent?
20%
35%
6%
60%
Answers
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
A quadratic function has one zero (x-intercept) at x = -5 and another zero at x = 3. What is the equation of the axis of symmetry of this function?
Answers
Answer:
x = - 1
Step-by-step explanation:
The axis of symmetry is a vertical line located at the midpoint of the zeros.
Equation is then
x = [tex]\frac{-5+3}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , that is x = - 1
The measure of two sides of a triangle are given. If the perimeter is 11x^2 - 29x + 10, find the measure of the third side.
Answers
Answer:
I would say use photomath if you cant find your answer.
Step-by-step explanation:
Help! I don't get it!
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B= 9/21 and 6/14
C= 2/5 and 16/40
The circumference of a circular field is 191.54 yards. What is the radius of the field? Use 3.14 for Pi and do not round your answer.
Answers
Answer:
C = 2πr
191.64 = 2 × 3.14 × r
r = 191.64/6.28
r = 30.51 yds
In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th
Answers
Answer:
618.2203≈618.22
Step-by-step explanation:
618.2203≈618.22
A spinner is evenly divided into 9 sections and numbered from 1 through 9. What is the probability of spinning a number less than 5 in a single spin?
Answers
Answer:
2
Step-by-step explanation:
Count the spins
The perimeter of one square is given as 4x. Its perimeter is equal to the perimeter of a rectangle given as 2.5x + 3.75. Write an equation to determine the perimeter of each figure
Answers
Answer:
5
Step-by-step explanation:
it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math
common multiples for 30 21 and 24
Answers
Answer:
The common multiple for 30 21 and 24 is 3
Step-by-step explanation:
30 = 3 × 10
21 = 3 × 7
24 = 3 × 8
Thus, 3 is the common multiple for 30 21 and 24.
-TheUnknownScientist
A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number
Answers
Answer:
20400
Step-by-step explanation:
log subscript-4 (m^2)=log subscript-4 (18-7m)?
Answers
Answer:
m = {-9, 2}Step-by-step explanation:
log₄ (m²) = log₄ (18 - 7m)18 - 7m > 0 ⇒ 7m < 18 ⇒ m < 18/7
m² = 18 - 7mm² + 7m - 18 = 0m² + 2*3.5m + 12.25 = 30.25(m + 3.5)² = 5.5²m = - 3.5 ± 5.5m = 2 m = -9Answer:
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
Step-by-step explanation:
we are given a logarithm equation
[tex] \displaystyle \log_{4}( {m}^{2} ) = \log_{4}(18 - 7m) [/tex]
notice that, we have [tex]\log_4[/tex] both sides therefore we can get rid of it
[tex] \displaystyle {m}^{2} = 18 - 7m[/tex]
in order to solve it we should make it standard form we know that
[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]
so right hand side expression to left hand side and change its sign:
[tex] \displaystyle {m}^{2} + 7m- 18=0[/tex]
now we can solve it by using factoring method
to do so rewrite the middle term as sum or subtraction of two different terms
in that case -2m+9m is good to use
[tex] \displaystyle {m}^{2} - 2m + 9m - 18 = 0[/tex]
factor out m:
[tex] \displaystyle m({m}^{} - 2 )+ 9m - 18 = 0[/tex]
factor out 9:
[tex] \displaystyle m({m}^{} - 2 )+ 9(m - 2)= 0[/tex]
group:
[tex] \displaystyle (m - 2)(m + 9) = 0[/tex]
hence,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
remember that,
when we deal with logarithm equation we should always check the roots
let's check the root 1:
[tex] \displaystyle \log_{4}( {2}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify square:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify multiplication:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 14) [/tex]
simplify substraction:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(4) [/tex]
simplify logarithm:
[tex] \displaystyle 1 \stackrel{ \checkmark}{=} 1[/tex]
let's check root 2:
[tex] \displaystyle \rm \log_{4}( { - 9}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.( - 9)) [/tex]
simplify square:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{?}{=} \log_{4}(18 + 63) [/tex]
simplify addition:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{ \checkmark}{=} \log_{4}(81) [/tex]
therefore,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60%, percent of their plants are flowers and 40%, percent are vegetables. They have 50 plants growing in the garden.
Answers
Answer: the answer is 20.
name the following polynomial expression.
[tex] {4x}^{2} + x - 3 [/tex]
Answers
Answer:
Step-by-step explanation:
It has 3 terms so it is a trinomial.
It can also be called a quadratic.
Answer:
a trinomial.
If that is what ur asking for
Step-by-step explanation:
A quadrilateral in the coordinate plane has vertices (3, 2), (3,-4), (5,4), and (5,-2). What is the area, in square units, of the quadrilateral?
Answers
Answer:
4 square units
Step-by-step explanation:
the distance between (3, -4) and (5, -4) is 2, and the distance between (3, -2) and (5, -2) is also 2. since its a quadrilateral do 2x2 and you get 4.
what is this ecspression in simplified form
(-7 square root 3)(11 square root 10)
Answers
Answer:
-77·√30
Step-by-step explanation:
(-7)·√3·11·√10 = (-77)·√3·10 = -77·√30
what is the slope of the line
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Answer:
The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.
Answer:
the slope of the line is 1
Step-by-step explanation:
The line goes 1 up, 1 right, 1 up 1 right ........
1 divided into 1 = 1
Jada uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 4 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
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Answer:Amount of blue paints used to paint bedroom walls=1.48 pints
Step-by-step explanation:
total pints of white paint and blue paint = 7.4 pints
Amount of white paint=4/ 5 x 7.4 pints=5.92pints
Amount of blue paints used to paint bedroom walls=total pints of paints used -Amount of white paint used
= 7.4 pints-5.92pints
=1.48pints
Solve m+18+23=71
PLZZZZZ I NEED THE ANSER PLZZZ
Answers
Answer:
m + 18 + 23 = 71
m + 41 = 71
m = 71 - 41
m = 30
Answer:
30
Step-by-step explanation:
m+18+23=71
m+41=71
m=71-41
m=30
PLEASE HELP QUICK ITS ALMOST DUE!
What is the slope of the inequality of the red line in this graph
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rise/run
3/-2
Solve for x.round to the nearest tenth. 70,6
Answers
Answer:
16.5
Step-by-step explanation:
Tan70°=x/6
x=6tan70°
=16.5
Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range
Answers
Answer:
Mean: 4
Mode: 4
Median: 6
Range: 5
Step-by-step explanation:
Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Mode: Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
June runs a little slower than Carlos. She ran 1/4 of a mile in 3 minutes. How long will it take her
to run a full mile?
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Answer:
12 mintes
Step-by-step explanation:
u add
Write an equation of the line that passes through point P and is parallel to the line with the given equation: P(2,5) Y-1=4x
Answers
Given:
The equation of a line is:
[tex]y-1=4x[/tex]
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
[tex]y-1=4x[/tex]
It can be rewritten as
[tex]y=4x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=4[/tex]
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=4(x-2)[/tex]
[tex]y-5=4x-8[/tex]
[tex]y=4x-8+5[/tex]
[tex]y=4x-3[/tex]
Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].
Help I will mark brain list.
Answers
Answer: the area equals 580
Step-by-step explanation: the area is length times height times width and it all equals to 580
hope this helps
Find the average rate of change of g(x) =-x²+2x+2 from x=2 to x = 6.
Simplify your answer as much as possible.
Answers
Solve the equation replacing x with 2 and the 6:
-2^2 + 2(2) + 2 = 4 + 4 + 2 =10
-6^2 + 2(6) + 2 = 36 + 12 + 2 = 50
Difference between the answers: 50-10 = 40
Difference between 2 and 6 = 6-2 = 4
Average rate of change = 40/4 = 10
The answer is 10
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.
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Answer:
Minimum 100 bicyclesMinimum cost is 13500Step-by-step explanation:
Given function:
C(x) = 3x^2- 600x + 43500a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
Vertex of the given function is:
x = -(-600)/(2*3) = 100b.
Cost at vertex is:
C(100) = 3*100^2 - 600*100 + 43500 = 13500