\(\frac{m}{2} =\frac{m+5}{10}\)
Answer:
\( \sf \large \: m=−1\)
Step-by-step explanation:
Let's solve your equation step-by-step.
m/2 =m+5/10
Step 1: Simplify both sides of the equation.
1/2m=m+1/2
Step 2: Subtract m from both sides.
1/2m−m=m+1/2−m
−1/2m=1/2
Step 3: Multiply both sides by 2/(-1).
(2/−1)*(−1/2m)=(2/−1)*(1/2)
m=−1
Is this relation a function
y=2x - 5
Answer-
yes
Step-by-step explanation:
yes, because no matter what value you plug in for x, you'll always get the same y.
For instance, if you plug in 3 as the value for x, y will always be 1. This is true for every x, so this is a function.
Which of the following algebraic equations could represent the sentence, "The quotient of a number and 9 is three"?
Answer:
x/9=3
Step-by-step explanation:
GCF for each pair number 22,55
Answer:
11 is the GCF for both 22 and 55.
Step-by-step explanation:
I looked it up.
What is the vertex x^2+2x-3=0
Step-by-step explanation:
2 squared plus 2 =5
5+2x =7x
7x-3 = 4x
n (n + 34), when n = 8
Answer:
336
Step-by-step explanation:
8(8+34)
use distributive property
64+272
A 7 cm string that is fastened at both sides is plucked. what is the wavelength of the n = 4 standing wave?
The wavelength of the n = 4 standing wave is 3.5cm.
Standing Waves:
A standing wave is a stationary wave, which means that the wave oscillates in time but the peak amplitude does not move in space. This can happen in a stationary medium from an interference due to two waves traveling in opposite directions. For a harmonic wave, the string's displacement in the y-direction from the x-position and time t can be calculated by using the expression
y(x ,t)=2Asin(2πxλ)cos(ωt)
where A is the maximum displacement in the y-direction, λ
is the wavelength, and ω is the angular frequency. Given a taut string of length L, and assuming the the driving force is at x=0, the boundary conditions are
y(0,t)=0y(L, t)=2Asin(2πLλ)cos(ωt)=0
Given the latter boundary condition, a standing wave occurs when sin(2πLλ)=0=sin(nπ). The condition for the standing wave is then of the form n=2Lλ.
The condition where the standing wave occurs is given by the expression n=4Lλ, where n is a positive integer value, L is the string length, and λ is the wavelength. We calculate the wavelength of an n=4 standing wave as follows:
λ=4Ln=4(7 cm) / 2
= 14 /2
= 3.5cm.
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Function f is an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit. Function g is represented by the table. x 0 1 2 3 4 g(x) 75 43 27 19 15 Which statement correctly compares the two functions on the interval [0, 4]? A. Both functions are decreasing at the same average rate on that interval. B. Both functions are decreasing, but function g is decreasing at a faster average rate on that interval. C. Both functions are decreasing, but function f is decreasing at a faster average rate on that interval. D. Function f is decreasing, but function g is increasing, on that interval.
B. Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.
Let's clarify the comparison between the functions f(x) and g(x) and explain the rates of decrease more accurately.
The given table represents the values of function g(x) for different values of x: x = 0, 1, 2, 3, 4.
The corresponding values of g(x) are 75, 43, 27, 19, and 15, respectively.
Function f is described as an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit.
However, we don't have the specific values of f(x) for the interval [0, 4].
So, we cannot compare the exact values of f(x) and g(x) directly.
Now, let's compare the average rates of decrease between the two functions:
For function f, we know that it decreases by 50% as x increases by 1 unit. This means that for every unit increase in x, the value of f(x) decreases by half of its previous value.
On the other hand, for function g, we can observe the values in the table. As x increases from 0 to 1, g(x) decreases from 75 to 43.
This is a decrease of 32, which represents a decrease of (32/75) \(\times\) 100% ≈ 42.67%.
From the given information, we can conclude that function g is decreasing at a faster average rate compared to function f on the interval [0, 1].
However, without further information or additional data points, we cannot make a definitive comparison for the entire interval [0, 4].
Therefore, the correct statement regarding the comparison of the two functions on the interval [0, 4] would be:
B. Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.
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You are choosing between two different cell phone plans. The first plan charges a rate of 22 cents per minute. The second plan charges a monthly fee of $34.95 plus 11 cents per minute. Let t be the number of minutes you talk and C1 and C2 be the costs (in dollars) of the first and second plans. Give an equation for each in terms of t, and then find the number of talk minutes that would produce the same cost for both plans (Round your answer to one decimal place).
Keep in mind that cents are written in decimal form. For example, 23 cents is.23
C1 = _____
C2 = _____
If you talk for _______ minutes the two plans will have the same cost.
Let t be the number of minutes talked. The cost of the first plan can be represented by:C1 = 0.22t
The cost of the second plan can be represented by:C2 = 0.11t + 34.95.To find the number of talk minutes that would produce the same cost for both plans, you need to set the two equations equal to each other and solve for t.0.22t = 0.11t + 34.950.11t = 34.95t = 318.18
Therefore, the two plans will have the same cost if you talk for 318.18 minutes.
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How many solutions over the complex number system does this polynomial
have?
7x^3 – 33x^4 – 4x² + 3x + 52 = 0
2
Answer:
4 solutions counting any possible multiplicity
Step-by-step explanation:
Recall that if one considers the Complex Number System, a polynomial has as many solutions (including multiplicity) as its degree.
So in this case, where we are considering a polynomial of order 4 Notice that the term \(-\,33\,x^4\), is in reality the leading term (term with the highest power of the variable) of this polynomial.
Therefore, in the Complex Number System, this polynomial would have 4 solutions.
guys help please. Enter the value for x that makes the equation 5x-2+3+-7 HELP
Step-by-step explanation:
5x-2+3-7
0=5x-9+3
0=5x-6
6=5x
x=6/5
Find the area of the figure. Round your answer to the nearest hundredth.
ft2
pls help first one correct gets branly points
Answer:
84.13
Step-by-step explanation:
4+4=8
14-8=6
the area of a circle is A=πr^2
A=π3^2
=28.27
divide is by 2 cos its a semi circle
28.27/2
14.13+(5x14)
14.13+70=84.13
please help me before tomorrow and explain with words please I don't understand :(
factor the trinomial
-2h^2+5h+3
the expected value of an unbiased estimator is equal to the parameter whose value is being estimated. true/false
The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.
An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.
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FREE BRAINLIEST!! ill also answer questions that you have posted if you answer correctly!!!! (61pts)
Answer:
Can I get the pdf?
Step-by-step explanation:
Select the correct answer.
On average, Adrian's salary is 1.05 times the previous year's salary.
If Adrian Initially has $52,000 and n denotes the number of years, which recursive equation gives Adrian's annual income, f(n), as a function
the year?
O A. f(1) = 52,000
f(n) = 1.05 · (n − 1), for n > 2
OB. f(1) = 52,000
= 1.05 + f(n - 1), for n > 2
OC (1)
= 1.05
f(n) = 52,000 . f(n − 1), for n > 2
OD.
f(1) = 1.05
f(x) = 52,000 + f(n - 1), for n > 2
Answer: Answer A on Edmentum
Step-by-step explanation:
The correct option is First option i.e. f(1) = 52,000; f(n) = 1.2 · f(n - 1) - 0.30 · f(n - 1) + 2,300; for n ≥ 2
What is Percentage?Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
On average, his salary is 1.2 times the previous year's salary:
f(n)=1.2 X f(n-1)
30% of his income is budgeted for rent:
Rent: R = 30%f(n-1)
= 30 X f(n-1)/100
R = 0.30 X f(n-1)
In addition to his salary, Adrian's income increases by $2,300 each year as a result of gifts from family members:
Gifts: G=2,300
If Adrian initially has $52,000:
n=1, f(n)=f(1)=52,000
If n denotes the number of years, which recursive equation gives Adrian's annual income as a function of the year, f(n)?
f(1)=52,000
f(n)=1.2 X f(n-1)-R+G; for n ≥ 2
f(n)=1.2 X f(n-1)-0.30*f(n-1)+2,300; for n ≥ 2
Thus, the correct option is First option i.e. f(1) = 52,000; f(n) = 1.2 · f(n - 1) - 0.30 · f(n - 1) + 2,300; for n ≥ 2
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NEED HELP INSTANTLY AND WILL GIVE BRAINLIEST AND THANKS
What is the slope of the line that passes through the points (2, −3.5) and (4, 5.5) ?
92
13
29
I don't know
Answer:
hope it helps you.......
The required slope of the line passing through the points is m = 9/2. Option A is correct.
Given that,
To determine the slope of the line that passes through the points (2, −3.5) and (4, 5.5).
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the line passing through two points is given by,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute value in the above equation
m= 5.5 +3.5 / 4 - 2
m = 9 / 2
Thus, the required slope of the line passing through the points is m = 9/2. Option A is correct.
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Find inequalities with solutions that have this graph.
The figure below shows a triangular piece of cloth:
What is the length of the portion BC of the cloth? (1 point)
Answer:
BC / 8 = sin 35° by definition.
Step-by-step explanation:
what is the unit rate if 12 inches of snow in 3 hours?
Answer:
4 inches of snow has fallen rate per hour
therefore the unit rate is 4 inches of snow per hr.
Step-by-step explanation:
Answer:
4 per hour
Step-by-step explanation:
because 12 divided by 3 is 4
25 POINTS Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.
Answer:
Corresponding: The top left, The bottom left
Alternate interior: Bottom right
Alternate exterior: Top middle
None of these: Top right
Step-by-step explanation:
ax^2+bx+c=0 the root of the equation are 2 and 1/2
Answer:
\(x = 2 \: or \: x = \frac{1}{2} \\ (x - 2)(2x - 1) = 0 \\ {2x}^{2} - x - 4x + 2 \\ {2x}^{2} - 5x + 2\)
Step-by-step explanation:
hope it helps you<3A rotation maps point A(5, 4) to A’(–4, 5).
Which describes the rotation?
180° clockwise rotation
180° counterclockwise rotation
90° counterclockwise rotation
90° clockwise rotation
90° counterclockwise rotation
Answer:
c
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
2.25
Step-by-step explanation:
BELLE FABRICE HAD $1.70 IN NICKELS AND DINES IN HER POCKET. IF SHE HAD TWO MORE DIMES THAN NICKELS, HOW MANY OF EACH TYPE OF COIN DOES SHE HAVE?
Answer:
12 dimes, 10 nickels
Step-by-step explanation:
12x10=120 or in this case $1.20
10x5=50 or $0.50
50+120=170 or $1.70
Sorry if any of it is wrong, I am doing this in the car and in my head
Question 1 1 pts In test of significance, we need to assume the alternative hypothesis to be true in order to compute the test z-value. True False
The alternative hypothesis is not assumed to be true when computing the test z-value in a significance test.
False. In a test of significance, the alternative hypothesis is not assumed to be true when computing the test z-value. The test z-value is calculated based on the observed sample data and the null hypothesis, which represents the assumption that there is no significant effect or difference.
The alternative hypothesis, on the other hand, represents the claim or research hypothesis that contradicts the null hypothesis. The test statistic, such as the z-value, is then used to assess the evidence against the null hypothesis and determine the likelihood of observing the data under the assumption that the null hypothesis is true.
The alternative hypothesis provides the direction of the effect being tested, but it is not assumed to be true for the purpose of calculating the test statistic.
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which word best complete the analogy
Answer:
Skill.
This is a fairly simple analogy.
Marian Plunket owns her own business and is considering an investment. if she undertakes the investment, it will pay $28,000 at the end of each of the new 3 years. the opportunity requires an initial investment of $7,000 plus an additional investment at the end of the second year of $35,000. what is the NPV of this opportunity if the interest rate is 8% per year? Should Marian take it?
The NPV is positive, it is worth taking the Investment.
Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.
This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:
NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.
The given problem can be solved by using the following steps:
Calculate the present value (PV) of the expected cash inflows:
Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82
Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39
Since the NPV is positive, it is worth taking the investment.
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4 to the 7th power times 8 to the 7th power?
Answer:
3.435973837*10^10
Step-by-step explanation:
4 to the 7th power is 16384
and 8 to the 7th power is 2097152
multiplied by each other is 3.435973837*10 to the 10th power
if you have to round to the nearest 10th the answer is 3.44
Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points. 30% of adults will have an IQ score higher than what value?
Step-by-step explanation:
Use z-score table to find the z-score that corresponds to .7000 ( 70%)
approx .525 s.d. above the mean
.525 * 10 = 5.25 points above 100 = 105.25