The value of x from the given expression is 6/23
Exponential equationsExponential equations are inverse of logarithmic equation. Given the equation below;
23x = 6
In order to complete the equation, we will divide both sides by 23 to have:
23x/23 = 6/23
x = 6/23
Hence the value of x from the given expression is 6/23
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Factor 21x^2 - 14x - 56
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
Simplify.........
\( \huge(2 \frac{3}{4} - 1 \frac{1}{3} ) \times \frac{3}{4} \)
Answer:
\((\frac{11}{4}-\frac{4}{3})*\frac{3}{4}\\(\frac{33-16}{12})*\frac{3}{4} \\ \frac{17}{12} *\frac{3}{4} \\\frac{51}{48} \\\frac{17}{16}\)
Step-by-step explanation:
find the length of the missing side.
Answer:
I believe it is 12
Step-by-step explanation:
but I am not 100 percent sure
Please answer the question in the picture
Answer:
See below.
Step-by-step explanation:
The system of equations graphed are parallel lines, therefore have no solutions.
-hope it helps
4 = -8Z - 7 + 8z
Giving the brainliest to whoever gets the right answer.
Answer:
No Solution
Step-by-step explanation:
if one side is 4, another side -8z and +8z cancels, left -7
4 ≠ -7
Answer:
statement is false
Step-by-step explanation:
See image below:)
5.
a.
A study conducted at a school showed that the batteries used by calculators lasted an average of 101 days with a margin of error of ‡9 %.
What is the minimum average number of days a teacher can expect to have the batteries last in her classroom?
b.
There are roughly 279 days from the first day of school until the last day of school, the teacher has 24
TI-84 calculators and each one requires 4 triple A batteries. If the teacher can buy triple A batteries wholesale at 52 cents a battery, how much do you think she will need to spend at most on batteries for calculators over the year?
a. The teacher can expect the batteries to last at least 92.09 days on minimum average.
b. The teacher will need to spend at most $49.92 on batteries for calculators over the year.
What is minimum average day?
a. The margin of error of ‡9% means that we can be 95% confident that the true average number of days the batteries will last is within 9% of the sample average. To find the minimum average number of days a teacher can expect to have the batteries last in her classroom, we subtract the margin of error from the sample average:
Minimum average = 101 - (0.09)(101) = 92.09 days (rounded to two decimal places)
Therefore, the teacher can expect the batteries to last at least 92.09 days on average.
What is spend ?
b. The total number of batteries required for the 24 TI-84 calculators is:
24 calculators x 4 batteries per calculator = 96 batteries
The total cost of the batteries will be:
96 batteries x $0.52 per battery = $49.92 (rounded to two decimal places)
Therefore, the teacher will need to spend at most $49.92 on batteries for calculators over the year, assuming all batteries need to be replaced.
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6. Let G be a group and X a finite G-set. Show that the number of G-subsets of X is 2n, where n is the number of distinct orbits in X
By using Orbit-Stabilizer Theorem, we can prove that the number of G-subsets of X is 2n, where n is the number of distinct orbits in X
What is Orbit-Stabilizer Theorem?The Orbit-Stabilizer Theorem states that, for any element x in a G-set X, the number of elements in the orbit of x is equal to the number of elements in the stabilizer of x, multiplied by the number of orbits in X. In other words, if G is a group and X is a finite G-set, then the following equation holds:
|G| = |Orbit(x)| * |Stabilizer(x)|
where |G| is the number of elements in G, |Orbit(x)| is the number of elements in the orbit of x, and |Stabilizer(x)| is the number of elements in the stabilizer of x.
what is subset?A subset is a set of objects or elements that are contained within another set.
we can use the Orbit-Stabilizer Theorem. This theorem states that, for any element x in a G-set X, the number of elements in the orbit of x is equal to the number of elements in the stabilizer of x. The orbit of x is the set of all elements that can be obtained from x by applying the action of G, and the stabilizer of x is the set of all elements of G that leave x unchanged.
Since each element of X belongs to exactly one orbit, there are a total of n orbits in X. For each orbit, we can either include all of the elements in the orbit in our G-subset or exclude all of the elements in the orbit. This gives us 2 options for each of the n orbits, so the total number of G-subsets of X is 2^n = 2n.
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1. 18x^3-2x^2+4x-1
1.1 How many terms are in 18x^3-2x^2+4x-1
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.
In this polynomial, we have:
Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)
Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)
Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)
Term 4: -1 (This is a constant term with a degree of 0.)
We can see that there are four distinct terms separated by addition and subtraction operations:
18x³, -2x², 4x, and -1.
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Please help geomtry!
Answer:
13
Step-by-step explanation:
By angle bisector property:
\( \frac{28}{49} = \frac{12}{2x + 7 - 12} \\ \\ \frac{4}{7} = \frac{12}{2x - 5} \\ \\ 4(2x - 5) = 12 \times 7 \\ \\ 8x - 20 = 84 \\ \\ 8x = 84 + 20 \\ \\ 8x = 104 \\ \\ x = \frac{104}{8} \\ \\ x = 13\)
Subtract m + 8 from 5m + 11.
???
Answer:
=−4m+19
Step-by-step explanation:
Answer:
I think it might be 4m + 19
For which value of x is line l parallel to line m?
Answer:
70
Step-by-step explanation:
If lines l and m are parallel, then using the corresponding angles theorem, the angle that forms a linear pair with angle \(x\) is \(110^{\circ}\).
This means that \(x=70\).
Select two ratios that are equivalent to 27:9.
Answer:
Some lists which you can choose:
3:1
6:2
12:4
24:8
Step-by-step explanation:
Answer: The two ratios would be 9:3 and 3:1 because
27:9 divided by 3 on both sides, equals
9:3
27:9 divided by 9 on both sides,
3:1
Therefore, the two ratios would be 9:3 & 3:1.
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25X -5 =
10 + 70x=
6y + 14-8y=
Helppp I have 3 more Minutess:(
Answer:
X=-5
x=-7
Y=12
Step-by-step explanation:
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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Mrs. Rogers sold 49 out of 78 crafts at the fair. What percent of her crafts did she sell? Please show work!
Answer:
62 32/39%
Step-by-step explanation:
\(\frac{49}{78}*\frac{100}{1}=\frac{4900}{78}=\frac{2450}{39}=62\frac{32}{39}%\)%
The percentage of Mrs. Rogers crafts sold is 62.82%.
Given that, Mrs. Rogers sold 49 out of 78 crafts at the fair.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Percent of crafts sold =Number of crafts sold/Total number of crafts ×100
= 49/78 ×100
= 0.6282×100
= 62.82%
Therefor, the percentage of Mrs. Rogers crafts sold is 62.82%.
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what ratio is equivalent to 15/40?
Answer:
well for me
Step-by-step explanation:
I think it's 3/8
someone please answer this its confusing me
Convert 6.75 yards into inches.Hint: 3 feet = 1 yard; 12 inches = 1IAbfoot
We have 6.75 yards, so first we will convert it into feet, applying a rule of three we have:
\(\begin{gathered} \frac{1yard}{3feet}=\frac{6.75yards}{?feet} \\ ?feet\times1yard=6.75yards\times3feet \\ ?feet=\frac{6.75yards\times3feet}{1yard} \\ 6.75yards=20.25feet \end{gathered}\)Now, we will convert it to inches:
\(\begin{gathered} \frac{12inches}{1food}=\frac{?inches}{20.25feet} \\ \frac{12inches\times20.25feet}{1food}=?inches \\ so: \\ 20.25feet=243inches \end{gathered}\)So the answer is that 6.75 yards are 243 inches.
rechna notices her car driving at 40km/hr and knows that at that speed she will reach home in 2 hours if she wants to reach her home only in an half hour by what percentage does she need to increase her speed choose the correct answer 50%,100%,200%,400%
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.
What is speed?Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.
To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.
If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.
By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.
Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.
The time taken to reach her destination while travelling at her initial speed is 2 hours.
To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.
Therefore, the percentage increase in speed
= (30/120) x 100
= 25%.
Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.
Therefore, the correct answer is 200%.
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Find the value of x. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
9. sin 18 = x/21
x = 21* sin 18
x = 6.5
10. tan 55 = 29/x
x* tan 55 = 29
x = 29/tan 55
x = 20.3
11. sin 23 = x/25
x = 25 * sin 23
x = 9.8
12. sin 47 = 33/x
x * sin 47 = 33
x = 33/sin 47
x = 45.1
PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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−4(m+3)=24
What does m=
Answer: m= -9
Step-by-step explanation: First use distributive property, -4(m) is -4m and -4(3) is -12. Then you have -4m -12 =24. Then use 12 and add it to the other side of the equation, cause of the subtraction sign, 12+24=36. Then you have -4m=36. Then divide the 4 to get the m by its self. 36 divided by -4 is -9. Your answer is m=-9
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what is the image of the point (4, 0) after a rotation of 90 degrees counterclockwise about the origin
When point is rotated 90 degrees counterclockwise about the origin, point (x,y) becomes (-y,x).
Solving the QuestionWe're given
(4,0) rotated 90 degrees counterclockwise about the originMake the y-coordinate negative:
(4,0)
Switch around the coordinates:
(0,4)
Answer(0,4)
Find the period of the function y = 3/2 tan(1/3^x).
А) pi
B) pi/3
C) 3pi
D pi/6
==========================================================
Explanation:
I'm assuming you meant to say
y = (3/2)*tan( (1/3)x )
If so, then that equation is in the form
y = A*tan(Bx)
The B coefficient is B = 1/3 and it directly ties together to the period T.
T = pi/B
T = pi/(1/3)
T = pi*(3/1)
T = 3pi .... answer is choice C
Side note: This formula only works for tangent and cotangent functions.
The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.
10x3 + 35x2 − 4x − 14
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?
−2x − 7
2x + 7
−2x2 + 7
2x2 + 7
5x2( 2x + 7 ) − 2( 2x + 7 ) that's it.
Answer:
b
Step-by-step explanation:
Please help me with this
Step-by-step explanation:
Flip f(x) about the x-axis by multiplying it by -1
- f(x)
the squish it skinnier by multiplying it by 4
g(x) = - 4 f(x) = -4 x^2
a dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 7.
The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.
To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.
The coordinates of the image point L' will be:
L' = (-4 × 7, 0 × 7) = (-28, 0)
Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
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Sam's skateboard Shack rents skateboards for $12 per hour plus a nonrefundable fee of $10. Which equation can be used to find the y, the amount of dollars it would cost to rent a skateboard for x hours?
A. y= (12+10)x
B. y= 10x+12
C. y= 12x-10
D. y= 12x+10
Answer:
The Answer is D
Step-by-step explanation:
12x + 10
what is 1800/1254
\(1800 \div 1254\)
Abe laid three shortest worms together end to end what is the total length of these three worms
Based on the information provided, the total length of the worms would be 6 1/2 inches.
How to calculate the length of the worms?The graph presented shows the length of the worms Abe measured, based on the graph we know that the shortest worm was 2.125 inches, while the longest worm was 2.875 inches. Using this information, let's now add the three shortest worms together:
2.125 inches + 2.125 inches + 2.25 inches = 6.5 inches in total, which can be expressed ad 6 1/2.
Based on this, the total length of the three shortest worms would be 6 1/2.
Note: This question is incomplete; here is the complete question:
Abe measured the lengths of several worms. He made this line plot to display his measurements. Abe laid the three shortest worms together end to end. What is the total length of these three worms?
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