Answer:
b = \(\frac{3a-8}{4}\)
Step-by-step explanation:
Given
3a - 7 = 4b + 1 ( subtract 1 from both sides )
3a - 8 = 4b ( divide both sides by 4 )
\(\frac{3a-8}{4}\) = b
34.85 + 14.91 tbh i have zero clue what im doing rn so plz help me
Answer:
What the anyways uhhh
Step-by-step explanation:
49.76
Answer:
49.76
Step-by-step explanation:
You just add lol.
Look at screenshot below:
If y equals 14, what does x equal in the following equation ?
у = 3х - 7
1) x = 4
2) x = 5
3) x = 6
4) x = 1
Answer:
None of the above
14 = 3x -7
3x = 21
x = 7
The following cone has a slant height of 17
cm and a radius of 8
cm.
What is the volume of the cone?
Responses
480π
320π
544π
The formula for the volume of a cone is:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is pi.
In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:
h² = s² - r²
h² = 17² - 8²
h² = 225
h = 15
Now that we have the height, we can plug in the values for r and h into the formula for the volume:
V = (1/3)π(8²)(15)
V = (1/3)π(64)(15)
V = (1/3)(960π)
V = 320π
Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.
Me podrian ayudar con ese ejercisio por favor?? Me salvarian 4. Dadas las sucesiones de término general an = n + 3 y bn = 5n − 1 , realiza las siguientes operaciones: a) an – bn b) an + 3bn 5. Escribe los ocho primeros términos de la sucesión ( an ) dada por: a1 = 1, a2 = 1, an = an−1 + an−2
Explicación paso a paso:
Dado
an = n + 3
bn = 5n-1
a) an-bn = n + 3- (5n-1)
= n + 3-5n + 1
= n-5n + 3 + 1
= -4n + 4
an-bn = 4-4n
b) an + 3bn = (n + 3) +3 (5n-1)
= n + 3 + 3 (5n) +3 (-1)
= n + 3 + 15n-3
= n + 15n + 3-3
= 16n + 0
= 16n
an + 3bn = 16n
3) Dado a1 = 1, a2 = 1
an = an-1 + an-2
Debemos escribir los primeros ocho términos de la secuencia.
a3 = a3-1 + a3-2
a3 = a2 + a1
a3 = 1 + 1
a3 = 2
a4 = a3 + a2
a4 = 2 + 1
a4 = 3
a5 = a4 + a3
a5 = 3 + 2
a5 = 5
a6 = a5 + a4
a6 = 5 + 3
a6 = 8
a7 = a6-a5
a7 = 8 + 5
a7 = 13
a8 = a7 + a6
a8 = 13 + 8
a8 = 21
Por tanto, los primeros ocho términos de la secuencia son 1, 1, 2, 3, 5, 8, 13 y 21
CORRECT ANSWER WILL GIVE BRAINLIEST!
These ratios are all equivalent to 7:15.
Fill in the gaps.
1)14:__
2)24.5:__
3)3.5:__
4)1:__
5)__:1
6)__:12
7)__:20
Answer:
1) 14 : 30
2) 24.5 : 52.5
3) 3.5 : 7.5
4) 1 : 2.14
5) 0.47 : 1
6) 5.6 : 12
7) 9.33 : 20
Step-by-step explanation:
To get the answer for any gaps on the left e.g. 14 : __
divide the number that you have (14) by the number you were given (7).
And multiply your answer (2) by the number on the side you want to get (15), whatever you get from that (30) is you final answer.
To get the answer for any gaps on the right e.g. __ : 12
divide the number that you have (12) by the number you were given (15).
12÷15
And multiply your answer (0.8) by the number on the side you want to get (7)
0.8×7
whatever you get from that (30) is you final answer.
Please help will mark brainliest
Answer:
-4
Step-by-step explanation:
Answer:
y = 1/3x - 3
Step-by-step explanation:
Rewrite one eighteenthx3y + seven eighteenthsxy2 using a common factor.
one thirdxy(6x2 + 7y)
one thirdx2y(6x2 + 9y)
one eighteenthxy(x2 + 7y)
one eighteenthx3y2(y + 7)
Answer:
C
Step-by-step explanation:
1/18 x³y + 7/18 xy²
1/18 xy (x² + 7y)
What is the following sum? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0
Answer:
\(\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}\)
Hence, ption B is true.
Step-by-step explanation:
Given the expression
\(\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}\)
solving the expression
\(\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}\)
as
\(\sqrt{x^2y^3}=xy\sqrt{y}\)
\(2\sqrt{x^3y^4}=2xy^2\sqrt{x}\)
so the expression becomes
\(\:\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}\)
Group like terms
\(=2xy^2\sqrt{x}+xy\sqrt{y}+xy\sqrt{y}\)
Add similar elements
\(=2xy^2\sqrt{x}+2xy\sqrt{y}\)
Therefore, we conclude that:
\(\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}\)
Hence, option B is true.
Answer:
b
Step-by-step explanation:
The graph shows g(x) = x2 − 8x + 15. graph of parabola falling from the left, passing through 2 comma 3 to about 4 comma negative 1, and rising to the right, passing through 6 comma 3 What are the x-intercepts of g(x)? (0, 3) and (0, 5) (0, 4) and (0, 5) (3, 0) and (5, 0) (4, 0) and (5, 0)
The correct answer is (3,0) and (5,0), which is not one of the given options. The closest option is (4,0) and (5,0), which is not entirely accurate in the graph of parabola.
To find the x-intercepts of the parabola represented by g(x) = x^2 - 8x + 15, we need to find the values of x for which g(x) equals zero. Mathematically, we can set g(x) = 0 and solve for x using the quadratic formula or by factoring the equation.
Using the quadratic formula, we have:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
In this case, a = 1, b = -8, and c = 15. Plugging these values into the quadratic formula, we get:
x = (8 ± sqrt(8^2 - 4(1)(15))) / 2(1)
x = (8 ± sqrt(16)) / 2
x = 4 ± 2
So the x-intercepts are (2,0) and (6,0). Note that these values match up with the points where the parabola intersects the x-axis in the graph.
Therefore, The correct answer can be obtained by solving for x as shown above or by reading the x-coordinates of the x-intercepts directly from the graph of the parabola.
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what is w if w over 6 equals 3 over 8
Answer:
w = -12Step-by-step explanation:
To solve this, we need to isolate the variable.
w/6 + 5/8 = -1 3/8=> w/6 + 5/8 = -11/8=> w/6 = -11/8 - 5/8=> w/6 = -16/8=> w/6 = -2=> w = -12Hence, the value of the variable is -12.
What does it mean when you write your measurement as the mean ± standard deviation? (i.e., how much of the data fall within this range?)
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
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A major concern with a repeated-measures study is the possibility of __________.
a.negative values for the difference scores
b. carry-over effects
c. obtaining a mean difference that is due to individual differences rather than treatment
differences
d. All of the above options are major concerns.
Repeated measures study is a technique used in statistics that involves taking multiple measures from the same individual or group. The major concern with a repeated-measures study is the possibility of carry-over effects.
What is a repeated-measures study?A repeated-measures study is a design used in statistics, where all the members of a given sample group are evaluated on two or more occasions. In other words, the repeated-measures study can be viewed as a test-retest design.In this type of study, participants undergo a specific treatment or intervention, and then their responses or measurements are evaluated at various intervals to examine any effects of the intervention. The repeated measures are then compared, and statistical tests are used to determine whether there are any significant differences in the results.
The possibility of carry-over effects: When conducting a repeated-measures study, the possibility of carry-over effects is a major concern. This occurs when the effects of the first treatment are still present when the second treatment is applied, resulting in an unintended impact on the second set of results. For example, if an experimental group is treated with a medication and then evaluated, and the same group is treated with a different medication and then evaluated, the results may be influenced by the residual effects of the first medication.
A carry-over effect can result in an inaccurate representation of the study's effect and can decrease the validity of the results. As a result, researchers must establish an appropriate washout period to reduce the impact of the carry-over effects before conducting a repeated-measures study.
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Solve all for marked as brainly
Answer:
11x+99
-21x+14
Step-by-step explanation:
Please help
Tracy is saving to buy a new guitar that costs $253.77 (including tax). Tracy has saved $136.27, and she can save $23.50 each week.
Which equation could you use to find how long it will take to save for the guitar?
$253.77 + $136.27 = $23.50 w
$253.77 - w = $136.27 + $23.50
$136.27 + $23.50 w = $253.77
$23.50 w = $253.77
Answer:
is the last one brof
Step-by-step explanation:
Multiply and simplify
(3x-2) (6x²-5x+2)
Simplify is
18x3−27x2+16x−4
Mrs. House wants to buy a wireless speaker for her husband. She has narrowed down her choice to two stores: • Kohls is selling the speaker for $60.00. Mrs. House has a Friends and Family discount coupon for 25% off. • Target purchased the speaker for $38.00 and marked it up by 15% to sell in the store. How much would Mrs. House pay for this speaker at Target? Show your work
And right triangle ABC shown, what is the length of AC?
You need to get to class, 200 meters away, and you can only walk in the hallways at about 1.5 m/s. (if you run any faster, you’ll be caught for running). How much time will it take to get to your class?
Answer:
Time = 133.3 secs
Step-by-step explanation:
Speed = Distance / Time
Rearranging the formula
Time = Distance / Speed
Where D = 200 m , S = 1.5 m/s
Time = 200 / 1.5
Time = 133.3 secs
Answer:
133.3 seconds
Step-by-step explanation:
200/1.5 = 133.3
Jennifer can type 75 words in 3 minutes. Determine how many words she can type in 4 minutes
Answer:
75/3=25
25*4= 100 words
Be prepared!!! Help please!!!! What is 1/3x 3.14x6^2x11 equal????
The previous triangular prism had a surface area of 288 square units. What happens to the surface area of your prism when you double all four measurements? the surface area doubles. The surface area triples. The surface area increases by 4 times. The surface area increases by 8 times.
Answer:
The surface area increases by 4 times.
Step-by-step explanation:
square root of 288 = 16.970562.... (= 1 side)
1 side(x2) = 33.941125...... (= double of the side)
New area = new side squared
(33.94111....) squared = 1,152 (new area)
1,152/288 = 4
new area is 4 times bigger
288 x4 = 1,152
Flip a biased coin 100 times. On each flip, P[H] =p. LetXi denote the number of heads that occur on flip i.
a.) What is PX33 (x)?
b.) Are X1 and X2 independent? why?
Define Y = X1 + X2 + ....... +X1000
c.) What is PY (y)
d.) E[Y] and Var [Y].
a) The number of heads that occur on flip i, Xi, follows a Bernoulli distribution with parameter p. Therefore, the probability mass function (PMF) of Xi is given by:
P(Xi = x) = p^x(1-p)^(1-x), for x = 0,1
To find PX33(x), we need to compute the probability that X33 takes on the value x. Since each flip is independent, we can use the PMF of Xi to compute the joint PMF of X1, X2, ..., X100:
P(X1 = x1, X2 = x2, ..., X100 = x100) = p^(x1 + x2 + ... + x100) (1-p)^(100 - x1 - x2 - ... - x100)
Now, we can use the fact that the events X1 = x1, X2 = x2, ..., X100 = x100 are mutually exclusive and exhaustive (since each flip can only have two possible outcomes), and use the law of total probability to compute PX33(x):
PX33(x) = ∑ P(X1 = x1, X2 = x2, ..., X100 = x100), where the sum is taken over all possible combinations of x1, x2, ..., x100 that satisfy x33 = x.
Since we are only interested in the value of X33, we can fix x33 = x and sum over all possible combinations of x1, x2, ..., x32 and x34, x35, ..., x100 that satisfy the condition:
x1 + x2 + ... + x32 + x34 + ... + x100 = 100 - x
This is the same as flipping a biased coin 99 times and counting the number of heads that occur. Therefore, we have:
PX33(x) = P(X = 100 - x) = p^(100-x) (1-p)^x
b) X1 and X2 are independent if the outcome of X1 does not affect the outcome of X2. Since each flip is independent, X1 and X2 are also independent.
c) Y = X1 + X2 + ... + X1000 follows a binomial distribution with parameters n = 1000 and p, where p is the probability of getting a head on each flip. Therefore, the PMF of Y is given by:
PY(y) = C(1000,y) p^y (1-p)^(1000-y), for y = 0,1,2,...,1000
where C(n,k) denotes the binomial coefficient.
d) The expected value of Y is:
E[Y] = E[X1 + X2 + ... + X1000] = E[X1] + E[X2] + ... + E[X1000] (by linearity of expectation)
Since each Xi has the same distribution, we have:
E[Xi] = p*1 + (1-p)*0 = p
Therefore, E[Y] = 1000p.
The variance of Y is:
Var[Y] = Var[X1 + X2 + ... + X1000] = Var[X1] + Var[X2] + ... + Var[X1000] + 2 Cov[Xi, Xj]
Since each Xi has the same distribution, we have:
Var[Xi] = p(1-p)
and
Cov[Xi, Xj] = 0 for i ≠ j, since Xi and Xj are independent.
Therefore, we have:
Var[Y] = 1000p(1-p)
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What is the sqrt of i 25
Answer:
5
Step-by-step explanation:
- ohcogcogdgsogxicrkrxlgx
A painter is going to paint the rooms of a building. The painter has used 80 gallons of paint and has painted 32% of the rooms. How many more gallons of paint does the painter need to finish painting all of the rooms in the building?
The painter needs ______ gallons of paint to finish painting all of the rooms.
Answer:
30 gallons
Step-by-step explanation:
pls help me im stuck
Answer:
1) 0.28
2) 0.35
Step-by-step explanation:
multiplication and subtraction
Answer:The answer is 0.35
3/5-1/4=0.35
Step-by-step explanation:
you go online and write tiger-algera.com, then enter the calculation, it will give you the result and solution.Thanks
Three component work in series. the component fail with probabilities p1=0.09, p2=0.11, and p3=0.28. what is the probability that the system will fail?
the probability that the system will fail is approximately 0.421096 or 42.11%.
To find the probability that the system will fail, we need to consider the components working in series. In this case, for the system to fail, at least one of the components must fail.
The probability of the system failing is equal to 1 minus the probability of all three components working together. Let's calculate it step by step:
1. Find the probability of all three components working together:
P(all components working) = (1 - p1) * (1 - p2) * (1 - p3)
= (1 - 0.09) * (1 - 0.11) * (1 - 0.28)
= 0.91 * 0.89 * 0.72
≈ 0.578904
2. Calculate the probability of the system failing:
P(system failing) = 1 - P(all components working)
= 1 - 0.578904
≈ 0.421096
Therefore, the probability that the system will fail is approximately 0.421096 or 42.11%.
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Suppose that there is a 20% chance Malik is injured and earns $150,000, and an 80% chance he stays healthy and will earn $800,000. Suppose further that his utility function is the following (utility = square root of income) Malik's utility from his expected income is ____. Malik's expected utility of income is _____.
A. 818.5; 793.0
B. 793.0; 818.5
C. 1281.7; 387.3
D. 628.9; 648.1
E. 562.1; 604.2
Malik's utility from his expected income is 793.0, and his expected utility of income is 818.5. The correct option is B.
To calculate Malik's utility from his expected income, we can use the weighted average of his utility from each possible income, with the probabilities as the weights:
Utility from expected income = (0.20 x 387.3) + (0.80 x 894.4) = 793.0
Finally, we can calculate Malik's expected utility of income by applying his utility function to his expected income:
Expected utility of income = √$710,000 = 818.5
First, we need to calculate Malik's expected income. We can do this using the probabilities and the given amounts of income for each outcome:
Expected income = (0.20 x $150,000) + (0.80 x $800,000) = $710,000
Next, we can use Malik's utility function to calculate his utility from each possible income:
Utility from $150,000 = √$150,000 = 387.3
Utility from $800,000 = √$800,000 = 894.4
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simplify/solve the follow equationslogA1logAAlog A x Blog (a/b)log A ^ Blog 1/A
Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.
We simplify and solve the given expressions using the mentioned terms. Here are the step-by-step explanations for each expression:
1. logA: This expression represents the logarithm of a number A to a specified base. Without any base provided, it cannot be simplified further.
2. 1logAA: Since the coefficient of the logarithm is 1, this simplifies to logAA, which represents the logarithm of A to the base A. By definition, logAA = 1.
3. logA x Blog (a/b): This expression seems to have formatting issues, so I'll break it down into two separate expressions: - logA x B: This represents the logarithm of the product AB to a specified base. Using the logarithm product rule, it can be simplified to logA + logB. - log (a/b): This represents the logarithm of the quotient a/b to a specified base. Using the logarithm quotient rule, it can be simplified to loga - logb.
4. log A ^ B: This expression represents the logarithm of A raised to the power of B to a specified base. Using the logarithm power rule, it can be simplified to B * logA. 5. log 1/A: This expression represents the logarithm of the reciprocal of A (1/A) to a specified base.
Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.
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Identify the surface with the given vector equation. r(s, t) = (s cos(t), s sin(t), s) circular paraboloid O elliptic cone O hyperbolic paraboloid O plane O circular cone X
The surface with the given vector equation, r(s, t) = (s cos(t), s sin(t), s), is a circular cone.
The vector equation r(s, t) = (s cos(t), s sin(t), s) represents a surface in three-dimensional space. Let's analyze the equation to determine the nature of the surface.
In the equation, we have three components: s, cos(t), and sin(t). The presence of s indicates that the surface expands or contracts radially from a central point. The trigonometric functions cos(t) and sin(t) determine the angle at which the surface extends in the x and y directions.
By observing the equation closely, we can see that as s increases, the radius of the surface expands uniformly in all directions, while the height remains constant. This behavior is characteristic of a circular cone. The circular base of the cone is defined by s cos(t) and s sin(t), and the vertical component is determined by s.
Therefore, the surface described by the vector equation r(s, t) = (s cos(t), s sin(t), s) is a circular cone.
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Does anyone know??????
Answer:
I think 144.44 is the answer
Answer:
58.4
Step-by-step explanation:
To find the circumference of a circle, multiply the diameter by pi.
\(circumference=\pi d\)
In this case, the diameter is 18.6, and 3.14 is the substitute for pi.
\(18.6*3.14=58.404\)
\(58.404\) ≈ \(58.4\) (nearest tenth).