Answer:
m-n/2
Step-by-step explanation:
we are here given that,
[tex]\longrightarrow \log_{a}(15)=m [/tex] and ,
[tex]\longrightarrow \log_{a}(5) = n [/tex]
Taking the first given equation, we have;
[tex]\longrightarrow \log_{a}15=m \\ [/tex]
[tex]\longrightarrow \log_{a}(5\times 3) = m\\[/tex]
[tex]\longrightarrow \log_a 5 + \log_a 3 = m [/tex]
now substitute the value from second equation,
[tex]\longrightarrow n + \log_a 3 = m \\ [/tex]
[tex]\longrightarrow \log_a(\sqrt3)^2 = m - n \\ [/tex]
[tex]\longrightarrow 2 log_a \sqrt3 = m - n \\ [/tex]
[tex]\longrightarrow \underline{\underline{ \log_a \sqrt3 = \dfrac{m-n}{2}}} [/tex]
And we are done!
HELPS ASAP, 100 POINTS, WILL GIVE BRAINLIEST,
Carrie flipped a fair coin twice 240 times and recorded the results in the table.
Outcome Heads, Heads Heads, Tails Tails, Heads Tails, Tails
Frequency 60 73 63 44
If the coin is flipped 240 times, determine P(tails, tails).
18.3%
25%
44.8%
50.0%
Answer:
Below
Step-by-step explanation:
She got T-T 44 times out of 240 tries ( if I read your post correctly)
44/240 = .183 which is 18.3 %
Answer:
18.3%
Step-by-step explanation:
got it right evidence below
Carrie flipped a fair coin twice 240 times and recorded the results in the table.
Outcome Heads, Heads Heads, Tails Tails, Heads Tails, Tails
Frequency 60 73 63 44
If the coin is flipped 240 times, determine P(tails, tails).
18.3%
25%
44.8%
50.0%
Points earned on this question: 2
Solve 4(-1+2)-3=-1 Check your solution
Answer:
1
Step-by-step explanation:
4(-1+2)-3 note: -1+2 is basically 2-1 thus 1
4(1)-3
4-3
1
Can you guys please help me on those three ASAP!!! for 100 points
Answer:
1. 12 yards.
2. 15 meters.
3. 217 centimeters.
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] · [tex]b[/tex] · [tex]h[/tex] is the formula. (for the area of a triangle.)
Plug in the numbers and solve.Hope it helped!
Which graph is the piece-wise function defined by 9x7+9
The piece-wise function defined by 9x7+9 is added as an attachment
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
9x7+9
Express properly
So, we have
y = 9x^7+9
The above expression is a polynomial expression
Next, we represent on a graph (see attachment)
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Mr. Macdonald has 480 animals on his farm . 0.5 of the animals arecows 1/8 are goats The remainder of the Animals are chickens and ducks if 33 1/3% are chickens how many ducks are on the farm?
Answer:
120
Step-by-step explanation:
480 total
1/2 = 240 are cows
1/8 = 60 are goats
remaining = 480-240-60 = 180 are chickens & ducks
33.3333% of 180 = chickens =180/3 = 60 chickens
so ducks = 180-60 =120
Answer:
120
Step-by-step explanation:
given that out of 480 animals 0.5 of the animals are cows . So ,
no. of cows = 0.5*480 = 240
Again, we are given that 1/8 of the animals are goats , so the number of goats would be ,
no. of goats = 1/8*480 = 60
Total no. of goats and cows ,
= 240 + 60 = 300
No. of remaining animals= 480 -300 = 180
Now out of these 180 animals 33⅓ % animals are chickens and remaining are ducks.
Percentage of ducks = (100 - 33⅓ )% = 66.67%
So the number of ducks would be ,
180 * 66.67/100 = 120
And we are done!
fill in using the quadratic formula
Step-by-step explanation:
[tex]x = \frac{ - (b) \frac{ + }{} \sqrt{ {(b)}^{2} - 4(a)(c) } }{2(a)} [/tex]
During a single day at radio station WMZH, the probability that a particular song is played is 42%. What is the probability that this song will be played on at least 3 days out of 6 days? Round your answer to the nearest thousandth.
Answer:
0.543 or 54.3%
Step-by-step explanation:
This is an example of a binomial distribution, where the probability of success (playing the particular song) is 0.42, and the number of trials is 6.
To find the probability that the song will be played on at least 3 days out of 6, we need to calculate the probability of the song being played on 3, 4, 5, or 6 days.
Using a binomial probability calculator or formula, we can calculate these individual probabilities:
Probability of the song being played on 3 days out of 6: 0.308
Probability of the song being played on 4 days out of 6: 0.177
Probability of the song being played on 5 days out of 6: 0.052
Probability of the song being played on all 6 days: 0.006
To get the probability of the song being played on at least 3 days out of 6, we add these individual probabilities together:
0.308 + 0.177 + 0.052 + 0.006 = 0.543
Therefore, the probability that the song will be played on at least 3 days out of 6 is 0.543 or 54.3% (rounded to the nearest thousandth).
Write a formula that can help you find the measure of each individual exterior angle in any polygon.
Answer:
Step-by-step explanation:
The measure of each individual exterior angle in a polygon can be found using the following formula:
Exterior angle measure = 360° / number of sides
This formula assumes that the polygon is a regular polygon, meaning that all sides are of equal length and all interior angles are congruent. For an irregular polygon, the exterior angle measures will vary.
3 cm
Figure A
cm
2 cm
3 cm
2 cm
(a) Which figures are squares?
Mark all that apply.
Figure A
Figure B
(b) Which figures are rectangles?
Mark all that apply.
Figure A
Figure B
(c) Which figures are parallelograms?
Mark all that apply.
Figure A
Figure B
Figure C
Figure C
Figure C
Figure B
4 cm
4 cm
2 cm
None of the figures
None of the figures
None of the figures
2 cm
X
Figure C
r
2 cm
2 cm
2 cm
Answer:
(a) Figure A is a square.
(b) Figure A and Figure B are rectangles.
(c) Figure A, Figure B, and Figure C are parallelograms.
Step-by-step explanation:
How much of the circle is shaded? Write your answer as a fraction in simplest form.
1
4
1
6
Wildlife conservationists want to estimate the deer population in a region. They place an identifying tag on 220 deer. Several months later, researchers investigate 8 samples of 50 deer and record how many have a tag. Based on these results, how many deer should they estimate live in the region?
The estimated deer population live in the region is calculated as:
N = (2 * 220 * 50) / x
Estimate Deer PopulationOne method to estimate the deer population is by using the Lincoln-Petersen index, which is calculated as:
N = (2 * tagged deer count * sample size) / (number of tagged deer in the sample).
Using the data you provided, the number of tagged deer in the 8 samples is the sum of all the tagged deer counted in each sample, let's call this sum "x". Then, the estimated deer population in the region is calculated as:
N = (2 * 220 * 50) / x
Since the actual value of x is unknown, we cannot calculate the exact population. But, this formula gives us a method to estimate the population based on the number of tagged deer found in future samples.
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In 14 days, Lin's sister will be paid $430 and will deposit it into her checking account. If there are no other transactions besides this deposit and the daily fee, will Lin continue to be charged $5.95 each day after this deposit is made? Explain or show your reasoning.
The equation, fine is $5*86 = 430so 430-430 = 0, Lin's account balance is much above zero (0), so she won't be charged $5.95 each day.
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
Lin's sister will be paid $430
here are no other transactions besides this deposit and the daily fee
since fine is $5*86 = 430
so 430-430 = 0
hence,
Lin's account balance is much above zero (0), so she won't be charged $5.95 each day. However, if her account balance were to drop below zero, she would be charged for any further daily deposits made.
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Write the equation of the line through (2,15) and (-4,9)
The line through (2,15) and (-4,9) has the equation y = x - 13 whereas the slope or m is 1.
what is equation ?The statistic is said to be in this simplest form when subdivided into its smallest analogous fraction. How to do to find the most basic form. Look for common factors in the denominators and numerators. Evaluate a fractional integer to verify if this one passes as a prime number. A assertion having two equal sides and an equal sign in the middle is called an equation in mathematics. The normal form of a linear function is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Inequalities can be categorized as identities or conditional equations. An identity holds true no matter what value is given to the variables.
given
point slope form = (y - y1 ) = m( x - x1 )
points are = (2,15) and (-4,9)
m = y2 - y1 / x2 - x1
= -6 / -6
m = 1
equation = y - 15 = 1 ( x - 2 )
y = x - 2 + 15
The line through (2,15) and (-4,9) has the equation y = x - 13 whereas the slope or m is 1.
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If 20% of x = y, what is the value of y% of 20 in terms of x?
Answer:
Step-by-step explanation:
adam 7.5 to 634
how many different subsets of {1,2,3,4,5,6,7,8,9,10,11,12} contain at least one element in common with each of the sets {2,4,6,8,10,12}, {3,6,9,12}, and {2,3,5,7,11}? (source: mathcounts)
There are a total of 816 different subsets of {1,2,3,4,5,6,7,8,9,10,11,12} contain at least one element in common with each of the given sets
There are 12 elements in the original set, and each of the three smaller sets has different elements. To find the number of subsets that contain at least one element in common with each of the three sets, we need to count the number of subsets that contain at least one element from each set. To do this, we can consider each set separately and multiply the number of subsets that contain at least one element from each set.
The first set has 6 elements, the second set has 4 elements, and the third set has 5 elements. The number of subsets of the first set that contain at least one element is [tex]2^6-1[/tex]=63, the number of subsets of the second set that contain at least one element is [tex]2^4-1[/tex] =15, and the number of subsets of the third set that contain at least one element is [tex]2^5-1[/tex]=31. The number of subsets of the original set that contain at least one element from each of the three sets is 63 * 15 * 31 = 816.
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Explain the answer 2425÷ 45. Make sure that you are very detailed in YOUR explanation.
2425÷ 45 can be solved by using long division. The first step is to divide the first number (2425) by the divisor (45). The result, 54, is the first number in the answer.
What does math's long division mean?
The mathematical operation of breaking up huge numbers into several smaller groups or sections is known as long division. The number we divide by is known as the divisor, and the number we divide into smaller groups is known as the dividend. A problem can be handled by breaking it down into smaller, more manageable parts.
Next, subtract 54 x 45 (2430) from 2425, which leaves a remainder of -5.
To continue long division, we bring down the next number in the dividend (2425), which is a 5. Next, divide the remainder (-5) by the divisor (45). The result, -1/9, is the second number in the answer.
Finally, subtract -1/9 x 45 (-5) from the remainder (-5), which leaves a remainder of 0. The answer is 54 1/9.
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need help with this question
Answer:
D
Step-by-step explanation:
A and B would move the functional graph unchanged 6 units up and down.
but that is clearly not what happened.
so, A and B are out.
h(x) is instead f(x) shifted 6 units to the left.
that means the functional value h(x) is the same as f(x') just 6 units "earlier". that means x = x' - 6 or x' = x + 6.
therefore,
h(x) = f(x + 6) = sqrt(x + 6)
if a bakery produces 1,215 cupcakes during a 9 hour shift, what is the production rate of cupcakes per hour?
can u explain it in ratio
What two numbers has a sum of 9 and a product of 30
explanation: In order to find what two numbers have a Product and Sum write down what you know initially.
Let's assume the values we need to find are x, y whose product and sum are known.
Write the given data in the form of equations.
By using basic substitution, you will get an expression from which you can find the values easily.
If you aren't sure whether the results arrived are accurate or not cross-check the results obtained in the equations framed with input data.
Sum of two numbers = 24
Let's consider the numbers we need to find as x and y
To solve the problem x.y = 44
x+y = 24
y=24-x
Replace the value of y in the equation x.y=44. It's not necessarily y if you want you can interchange with the value of x too as x and y are interchangeable. . (24-x)=44
On solving the equation we get two numbers as 2 and 22
That's it the two numbers whose product is 44 and the sum is 24 are 2, 22. so you should be able to do the same with your question hope that helps!
what is the position of the median where marks:18,27,32,40,46 and no. of students:2,3,10,9,5
Answer: 9, 9, 9, 10, 2
Step-by-step explanation:18/9 = 2 students
27/9 = 3 students
32/9 = 4 students
40/10 = 4 students
46/2 = 23 students
The length is 4cm and the width is 6cm and has a semi circle what is the area
Answer:
The area of a rectangle with length 4 cm and width 6 cm is 24 square cm. To find the area of a semi-circle, we use the formula for the area of a circle and divide by 2. The formula for the area of a circle is πr^2, where r is the radius. The radius of the semi-circle is half the width of the rectangle, so r = 6/2 = 3 cm. Thus, the area of the semi-circle is π(3^2) = 9π square cm.
The total area of the figure would be the sum of the area of the rectangle and the semi-circle, so the answer would be 24 + 9π square cm.
based on her electric bills from last year, mrs. smith expects she will be paying $75/month this year. this is an example of descriptive statistics. group of answer choices false true
The statement 'Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year' is not an example of descriptive statistics.
What is Descriptive statistics:Descriptive statistics is a branch of statistics that are used to characterize the features of a sample by using quantitative techniques.
Descriptive statistics can help to provide simple descriptions of the observations by using measures of Central Tendency like mean, variance, median, charts, etc...
Data with one variable are described using univariate descriptive statistics. On the other hand, data with several variables are described using bivariate and multivariate descriptive statistics.
The two categories of descriptive statistics are Measures of central tendency and measures of dispersion, which are used to summarize the characteristics of grouped and ungrouped data.
Measures of central tendency are Mean, Median, and Mode, where Measures of Dispersion are Range, Variance, Standard Deviation, Mean Deviation, etc.
Here we have
Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year.
The above statement is a prediction according to previous data but it will not represent any sample data or any other data.
Therefore,
The statement 'Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year' is not an example of descriptive statistics.
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terms and coefficients in -x-x²
Answer:
Step-by-step explanation:
We are given with expression -x-x^2
In this expression terms are -x and -x^2
and the coefficient of x is -1 and x^2 is -1
888 with a subscript of 9 plus 555 with a subscript of 6 plus 222 with subscript of 3 is equivalent to. What number with a subscript of 12?
Please Explain how you answered the question.
The number with a subscript of 12 or number base 12 that is equal to 888₉ + 555₆ + 222₂ is 689.
What is the sum of the given numbers in base ten?Using the number base conversion system, the sum of the given numbers in base ten is determined as follows:
888₉ + 555₆ + 222₂ = X₁₂
888₉ = 8 * 9² + 8 * 9¹ + 8 * 9⁰
888₉ = 728
555₆ = 5 * 6² + 5 * 6¹+ 5 * 6⁰
555₆ = 215
222₃ = 2 * 3² + 2 * 3¹ + 2 * 3⁰
222₃ = 26
888₉ + 555₆ + 222₂ = 728 + 215 + 26
888₉ + 555₆ + 222₂ = 969
969 = X₁₂
969 = 689₁₂
Hence, X = 689
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Find the volume of the solid generated by rotating the region bounded by y = x^2, y = 0, and x = 1, about the y-axis.
Step-by-step explanation:
To find the volume of this solid, we will use the method of cylindrical shells. We will integrate the cross-sectional area of a cylinder, given by πr^2, over the height of the solid. The height of the solid is given by the difference between the upper and lower bounds of the region, which are y = x^2 and y = 0, respectively. The radius of each cylindrical shell is given by the distance of the cross-sectional circle from the y-axis, which is x.
So, the volume of the solid is given by the integral:
V = ∫[0, 1] π * x^2 dx
Using the antiderivative of π * x^2, which is π * x^3 / 3, we can find the definite integral:
V = (π * x^3)/3 from 0 to 1
Evaluating the definite integral and simplifying, we get:
V = π/3 units^3
So, the volume of the solid is π/3 units^3.
Answer:
Step-by-step explanation:
Find the volume of the solid generated by rotating the region bounded by y = x^2, y = 0, and x = 1, about the y-axis.
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what is the surface area of this figure ? ( step by step ) i can’t figure it out .
Answer: 108 cm. (Squared)
Step-by-step explanation:
Top/Bottom: 7 x 3 = 21 / 2 = 10.5 x 2 = 21
Small Side: 3 x 5 = 15
Medium/Back Side: 5 x 7 = 35
Large Side: 7.6 x 5 = 38
21 + 15 + 35 + 38 = 108
G = -10× + 100 + 44/×
interpret G
The expression for G will be written as G = (-10x² + 100x + 44 ) / x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is G = -10× + 100 + 44/×. The expression for G will be calculated as:-
G = -10× + 100 + 44/×
Take LCM of x and solve,
G = -10× + 100 + 44/×
G = (-10x² + 100x + 44 ) / x.
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How much more hourly wages does destiny make than Stephanie?
Destiny makes $(x - y) more than Stephanie.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given are the hourly wages of destiny make and Stephanie.
Assume that the hourly wages of Destiny are ${x} and than of Stephanie are ${y}. Let Stephanie make ${z} more than Destiny. So we can write -
z = x - y
Therefore, Destiny makes $(x - y) more than Stephanie.
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Jamila deposits $800 in an account that earns yearly simple interest at a rate of 2. 65%. How much money is in the account after 3 years and 9 months? Show your work