Answer:
y = 3x + 4
Step-by-step explanation:
slope is 9/3 simplified to 3
y intercept is 4
Simplify (12^0)(12^6). Write your answer using an exponent.
Explain how you found your answer.
Answer: \(12^6\) because when multiplying numbers with the same base, you add the exponents.
Step-by-step explanation:
\((12^0)(12^6)=12^{0+6}=12^{6}\)
continuing with the bounds you found in part d, do two more iterations of approximations. what is the solution to the original equation?
The solution to the original equation is approximately 1.4422.
To continue with the bounds found in part d, we need to use the interval [1.4, 1.5] as the initial approximation for the next iteration. Using the Newton-Raphson method, we get the following approximations:
- Iteration 2: x1 = 1.4428
- Iteration 3: x2 = 1.4422
Based on these two iterations, we can conclude that the solution to the original equation is approximately 1.4422. This is because the difference between the approximations in the last two iterations is only 0.0006, which is a small enough difference to suggest that the approximation has converged to a solution.
In other words, the Newton-Raphson method has been successful in finding a solution to the equation f(x) = x^3 - x^2 - x - 1 = 0 within the given interval [1.4, 1.5]. The method works by using the tangent line to the graph of f(x) at each iteration to approximate the root of the equation. By repeating this process, we are able to get closer and closer to the actual solution.
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What is the standard deviation of the data set {6,6,8,8,8,9,11}? Enter your answer as a number, rounded to the nearest tenth if necessary
Answer: 1.6
Step-by-step explanation:
Count, N: 7
Sum, Σx: 56
Mean, μ: 8
Variance, σ2: 2.5714285714286
Standard Deviation, σ: 1.6035674514745
Answer 1.6
BRAINLIEST PLEASE THANK YOUReflect the point (-7, -9) across the x-axis: Then
Reflect the point (-7, -9) across the y-axis:
Step-by-step explanation:
Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)
Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)
a poll was conducted two weeks before an election and showed that the incumbent would win with 54% of the vote, with a 3% margin of error. what is the confidence interval for this poll?
The confidence interval for the given poll is; 51% to 57%
How to find the confidence Interval?We are given that;
Sample proportion; p = 54% = 0.54
Margin of error; E = 3% = 0.03
Now, formula for confidence interval of proportions is;
p ± E
where;
p is sample proportion
E is margin of error
Thus;
CI = 0.54 ± 0.03
CI = (0.54 - 0.03), (0.54 + 0.03)
CI = (0.51, 0.57)
We conclude that the confidence interval is CI = (0.51, 0.57)
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a set of 4 consecutive integers has a sum of 10 what is the greatest of these integers
Answer:
1,2,3,4
Step-by-step explanation:
I think
1. Find the total of $18.93 with a 4.5% sales tax. *
$19.73
$38.66
$19.78
$38.71
Answer:
$19.78
Step-by-step explanation:
0.045 X 18.93 = 0.85185
0.85185 + 18.93 = 19.78
Evaluate 5-44• (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)
Answer:
15.6.
Step-by-step explanation:
5-44• (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)
= 5 + 33 - 27*0.8 - 0.8
= 5 + 33 -21.6 - 0.8
= 15.6.
The solution of the expression will be;
⇒ - 50.4
What is Mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 5 - 44• (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)
Now,
Solve the expression as;
⇒ 5 - 44 • (-0.75) - 18 ÷ 2/3 • 0.8 + (-4/5)
⇒ 5 - 44 • (-0.75) - 18 × 3/2 • 0.8 + (-4/5)
⇒ 5 - 44• (-0.75) - 27 • 0.8 + (-4/5)
⇒ 5 - 33 - 21.6 - 0.8
⇒ - 50.4
Thus, The solution of the expression will be;
⇒ - 50.4
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HELP WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
huh
ok
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Find an equation of the sphere with center (4, −12, 8) and radius 10.
Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.)
intersection with xy-plane intersection with xz-plane intersection with yz-plane
Expert Answer
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Answer:
The equation of the sphere with center (4, -12, 8) and radius 10 is:
(x - 4)^2 + (y + 12)^2 + (z - 8)^2 = 10^2
To describe its intersection with the coordinate planes, we substitute the appropriate values to find the intersection points.
1. Intersection with the xy-plane (z = 0):
Substituting z = 0 into the sphere equation, we have:
(x - 4)^2 + (y + 12)^2 + (0 - 8)^2 = 10^2
(x - 4)^2 + (y + 12)^2 + 64 = 100
Simplifying further, we have the equation of the intersection in the xy-plane:
(x - 4)^2 + (y + 12)^2 = 36
2. Intersection with the xz-plane (y = 0):
Substituting y = 0 into the sphere equation, we have:
(x - 4)^2 + (0 + 12)^2 + (z - 8)^2 = 10^2
(x - 4)^2 + 144 + (z - 8)^2 = 100
Simplifying further, we have the equation of the intersection in the xz-plane:
(x - 4)^2 + (z - 8)^2 = -44
Since the equation has a negative constant term (-44), the intersection with the xz-plane is non-existent (DNE).
3. Intersection with the yz-plane (x = 0):
Substituting x = 0 into the sphere equation, we have:
(0 - 4)^2 + (y + 12)^2 + (z - 8)^2 = 10^2
16 + (y + 12)^2 + (z - 8)^2 = 100
Simplifying further, we have the equation of the intersection in the yz-plane:
(y + 12)^2 + (z - 8)^2 = 84
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Use the formula for the sum of a geometric sequence to write the following sum in closed form.
6 + 6^2 + 6^3 + + 6^n,
where n is any integer with
n ≥ 1.
The sum of the geometric sequence is 6 + 6² + 6³ + ... + 6ⁿ can be written as \(\frac{6^n^+^1-6}{5}\) in closed forms.
Geometric Progression:The sum of n terms of G.P. is given by:
\(\frac{a(r^n-1)}{r-1}\)
Here, a, r are the first term and the common ratio respectively.
To write the sum of the geometric sequence 6 + 6² + 6³ + ... + 6ⁿ in closed form, we can use the formula for the sum of a geometric sequence:
=> \(\frac{a(r^n-1)}{r-1}\)
In our sequence, a = 6, r = 6, and n is any integer with n ≥ 1.
Now, We have substitute the values in above formula:
=> \(\frac{6.6^n-6}{6-1}\)
Now you have the closed form for the sum of the geometric sequence:
=> \(\frac{6^n^+^1-6}{5}\)
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Find the missing side lengths. Show your work.
The missing lengths are 12 unit and 6 unit.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
we can use the property similar triangle which states the the ratio of corresponding sides of similar triangle are in proportion
Using proportion
x / 20 + x = 9 / 24
24x = 180x + 9x
24x -9x = 180
15x = 180
x= 12
Again, Using proportion
y/ y+9 = 4/ 10
10y = 4y + 36
6y = 36
y= 6
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A binomial experiment with probability of success p=0.63 and n=11 trials is conducted. What is the probability that the experiment results in 10 or more successes? Do not round your intermediate computations, and round your answer to three decimal places (if necessary consulta list of formes.)
To find the probability of getting 10 or more successes in a binomial experiment with p = 0.63 and n = 11 trials, we can use the cumulative probability function.
P(X ≥ 10) = 1 - P(X < 10)
Using a binomial probability formula, we can calculate the probability of getting exactly k successes:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where C(n, k) represents the binomial coefficient.
Let's calculate the probability for each value from 0 to 9 and subtract it from 1 to get the probability of 10 or more successes:
P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)
P(X < 10) = Σ[C(11, k) * p^k * (1 - p)^(11 - k)] for k = 0 to 9
Using this formula, we can calculate the probability:
P(X < 10) ≈ 0.121
Therefore, the probability of getting 10 or more successes in the binomial experiment is:
P(X ≥ 10) ≈ 1 - P(X < 10) ≈ 1 - 0.121 ≈ 0.879
Rounding to three decimal places, the probability is approximately 0.879.
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HELP I WILL GIVE BRAINIEST
find the area of the figure
Answer:
29
Step-by-step explanation:
Seeing the area as a whole, it would be 6x6 which = 36.
Obviously there are two missing pieces, a square and a rectangle.
The top square looks like both sides are 2. 2 squared is 4.
the bottom rectangle is 1 by 3. 3 times 1 is 3
Now that we have those areas of 3 and 4 (which add to 7). we can subtract that from the 36 found earlier
36-7 = 29
Question 37 1 pts Which of the following is a solution to the differential equation: t². d^2y/dt^2 - 6t dy,dt + 12 = 0
a.y=t² + 1 b.y=t³+2t^4
c.no solution d.y = t-1 Question 38 1 pts Newton's law of cooliing states that the rate of change of the temperature T of an object is proportional to the temperature difference between the temperature S of the surroundings and the temperature T. Write down the differential equation. A cup of tea is prepared from boiling water at 100 degrees and cools to 50 degrees in 3 minutes. The temperature in the room is 20 degrees. What will the tea temperature be after a very long time? a.dT/dt=k(S-T); T≈ 20 degrees after a very long time b.dt/dT =k(ST); T≈ 30 degrees after a very long time c.dt/dT =K(S-T); T≈ 0 degrees after a very long time d.dt/dT = K (S+T); T≈ 30 degrees after a very long time
Question 37: The following is a solution to the differential equation y = t - 1. d.
Question 38: The tea temperature be after a very long time is dT/dt = k(S - T); T ≈ 20 degrees after a very long time. a.
To determine the solution to the given differential equation: t²(d²y/dt²) - 6t(dy/dt) + 12 = 0, we can solve the equation by assuming a solution in the form of y = tⁿ, where n is a constant.
By differentiating y with respect to t, we can substitute the derivatives into the differential equation to determine the value of n.
Let's differentiate y = tⁿ with respect to t:
dy/dt = n × tⁿ⁻¹
d²y/dt² = n(n-1) × tⁿ⁻²
Substituting these derivatives into the differential equation:
t²(n(n-1)tⁿ⁻²) - 6t(ntⁿ⁻¹) + 12 = 0
Simplifying the equation:
n(n-1)tⁿ - 6ntⁿ + 12 = 0
n(n-1)tⁿ - 6ntⁿ = -12
Since this equation must hold for all values of t, the coefficients of the tⁿ terms on both sides of the equation must be equal.
We can equate the coefficients:
n(n-1) = 0
n = 0 or n = 1
The general solution to the differential equation is y = c₁ + c₂ × t, where c₁ and c₂ are constants.
According to Newton's law of cooling, the rate of change of the temperature T of an object is proportional to the temperature difference between the object's temperature T and the surroundings' temperature S.
We can write the differential equation as follows:
dT/dt = k(S - T)
dT/dt represents the rate of change of temperature, k is the proportionality constant, and (S - T) represents the temperature difference between the object and the surroundings.
The cup of tea starts at 100 degrees and cools to 50 degrees in 3 minutes, with the room temperature at 20 degrees.
We can assume that the temperature of the tea will tend toward the room temperature as time goes to infinity.
This option correctly represents that as time goes to infinity, the temperature T of the tea will approach the temperature S of the surroundings, which is approximately 20 degrees.
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2.3.3 congruent triangles
In the congruent triangles both triangle are same . In this triangle 2.3.3 congruent triangle image given below to understand better.
According to the question, given that
2.3.3 congruent triangle under congruence triangle are explain:
Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle. We can see from the examples PQR and XYZ that PQ = XY, PR = XZ, and QR = YZ, and thus P = X, Q = Y, and R = Z. Then, we can state that XYZ and PQR.
To be congruent, the two triangles must be the same size and shape. It is necessary for both triangles to be superimposed on one another. A triangle appears to be in a different place or have a different look as we rotate, reflect, and/or translate it.
Two triangles must meet five requirements in order to be congruent. The congruence properties are SSS, SAS, ASA, AAS, and RHS.
SSS Congruence Criteria
Side-Side-Side criterion is referred to as the SSS criterion. According to this standard, two triangles are congruent if their respective triangles' three sides are equal to one another.
The three angles of BAC must be identical to the corresponding angles of XYZ if, according to the SSS condition, BAC XYZ.
SAS Congruence Criteria
Side-Angle-Side criterion is referred to as the SAS criterion. According to this standard, two triangles are said to be congruent if their matching sides and included angles are the same on each side of each other.
The third side (AB) and the other two angles of ABC must be identical to the equivalent side (XY) and the angles of XYZ if ABC XYZ under the SAS condition.
ASA Congruence Criteria
Angle-Side-Angle criterion is also known as ASA criterion. According to the ASA criterion, two triangles are congruent if any two of their included sides and related angles are equivalent in size to those of the other triangle.
AAS Congruence Criteria
Angle-Angle-Side criterion is also known as the AAS criterion. Two triangles are said to be congruent according to the AAS criterion if any two angles and the non-included side of one triangle match the corresponding angles and side of the second triangle.
RHS Congruence Criteria
Right angle-hypotenuse-side congruence is referred to as the RHS criterion. If the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, then two triangles are said to be congruent according to this criterion.
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4. A triangle has two sides measuring 8 cm and 15 cm. Write an inequality to represent the possible lengths of the third side.
Answer:
7 < x < 23
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the interval
difference of 2 sides < x < sum of 2 sides , that is
15 - 8 < x < 15 + 8
7 < x < 23
Solve 29 – 3:= 5x + 5 for x.
Answer:
x=4.2
Step-by-step explanation:
29-3=5x+5
21=5x, x=21/5=4.2
For the homecoming parade, the students of U-Math have created a colorful banner, 43 meters in length that is made of two pieces of parachute material. The short piece is 23 meters shorter than the long piece. Find the length of each piece.
ANSWER
The short piece is 10 meters long and the long piece is 33 meters long
EXPLANATION
Let the length of the shorter piece be x.
Let the length of the longer piece be y.
We have that the total length of the banner is 43 meters. This means that:
x + y = 43 ___(1)
The short piece is 23 meters shorter than the long piece. This means that:
x = y - 23 _____(2)
Now, we have a system of two simultaneous equations:
x + y = 43
x = y - 23
We can solve this by substitution.
Substitute the second equation into the first equation.
That is:
y - 23 + y = 43
Collect like terms:
y + y = 43 + 23
2y = 66
Divide through by 2:
y = 66 / 2
y = 33 m
Recall that:
x = y - 23
Therefore:
x = 33 - 23
x = 10 m
Therefore, the short piece is 10 meters long and the long piece is 33 meters long.
Nichelle earns $7 per hour and gets a 10% commission on the sale price of each item she sells. She wants to work only 10 hours each week, and has a weekly earnings goal of $200. Choose the inequality to find the total sales she must make to reach her goal. Then solve.
A (7)(10) – 1.10s > 200, s = 118.18 C (7)(10) + 1.10s s 200, 8 = 118.18
B (7)(10)(0.10)s > 200, s = 28.25 D 7(10) + 0.10s 2 200, s = 1300
Answer:
no sé amigo apenas voy el el kinder
QUESTION 1 A random sample of 169 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents is 0.22 ounces. The standard error of the mean equals 0.0244 0.0169 0.0200 0.0314 0.2200 QUESTION 2 Suppose the manager of a restaurant in a commercial building has determined that the proportion of customers who drink tea is 24%, the proportion of customers who drink soda is 11%, and the proportion of customers who drink coffee is 37%. Based on a random sample of 100 customers, what is the mean for the sampling distribution of the sample proportion of tea drinkers? 0.76 O 0.11 0.37 0.24 0.89
QUESTION 1: The standard error of the mean can be calculated using the formula: Standard Error = Standard Deviation / √(Sample Size).
In this case, Standard Deviation = 0.22, and Sample Size = 169. Therefore, Standard Error = 0.22 / √169 = 0.22 / 13 ≈ 0.0169, QUESTION 2: For the sampling distribution of the sample proportion, the mean is equal to the population proportion.
In this case, the proportion of customers who drink tea is 24% or 0.24. So, the mean for the sampling distribution of the sample proportion of tea drinkers is 0.24.
When answering questions on Brainly, it is important to be factually accurate, professional, and friendly, as well as concise and to avoid extraneous detail. Additionally, it is important to address all relevant parts of the question and use the key terms mentioned in the question.
Using the provided information, we can calculate the standard error of the mean using the formula:Standard error of the mean = (standard deviation) / sqrt(sample size) = 0.22 / sqrt(169) = 0.022 = 0.02 (rounded to 2 decimal places)Therefore, the answer to Question 1 is 0.0200.For Question 2, we can use the formula for the standard error of the sample proportion:Standard error of sample proportion = sqrt[(p * q) / n]where p is the proportion of interest (in this case, 0.24),
q is 1 - p (in this case, 0.76), and n is the sample size (in this case, 1ean for the sampling distribution of the sample proportion of tea drinkers is equal to the proportion of interest, which is 0.24.Therefore, the answer to Question 2 is 0.24.00).Standard error of sample proportion = sqrt[(0.24 * 0.76) / 100] = 0.044 = 0.04 (rounded to 2 decimal places)The m
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What percent of the 8th graders estimated they spend less than an hour a day on social media? Round your answer to the nearest whole number percent
Answer:
45%
Step-by-step explanation:
17 + 14 = 31 8th graders
14 divided by 31, times 100 = 45%
So, 45% of the 8th graders estimated they spend less than an hour a day on social media.
An average human heart beats 60 times per minute. If an average person lives to the age of 75, how many times does the average heart beat in a lifetime?
There should be
heartbeats per lifetime.
(Enter you answer as a decimal number. Round to two decimal places.)
The heart beats calculated to be 236,520, 000 times in a lifetime.
What is Unitary Method?
The unitary technique is a procedure that involves first determining the value of a single unit. After the process it followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs.
We can say that, 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's assume we need to calculate the price of 15 bananas.
This may be achieved as the following calculations: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
As per the question, An average human heart beats 60 times per minute.
Now, the amount of beats in an hour by the number of hours in a day.
= 3,600 x 24 hours
= 86,400 beats per day
Again, the amount of beats per year
= 86,400 x 365 days
= 31,536,000 beats per year
So, the heart beats
= 31,536,000 x 75 years
= 236,520, 000 beats in a lifetime
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Find the distance between
(8,7) and (1,-2)
Answer:
√130 units
Step-by-step explanation:
(8,7) ; (1, -2)
Distance = \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)
\(= \sqrt{(1-8)^{2}+(-2-7)^{2}}\\\\= \sqrt{(-7)^{2}+(-9)^{2}}\\\\= \sqrt{49 + 81}\\\\= \sqrt{130}\)
Assume C is the center of the circle.
108°
27°
43°
124°
The value of angle ABD in the figure is solved to be
27°
How to find the value of the inscribed angleThe inscribed angle is given in the problem as angle ABD. This is the angle formed at the circumference of the circle
The relationship between inscribed angle and the central angle is
central angle = 2 * inscribed angle
in the problem, we have that
central angle = angle ACD = 54 degrees
inscribed angle = angle ABD is unknown
putting in the known value
54 degrees = 2 * angle ABD
angle ABD = ( 54 / 2) degrees
angle ABD = 27 degrees
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Sky Launch Trampoline Park charges customers $9.50 per hour they spend jumping. Each customer must
also pay $2.50 for grip socks. Create a table or t-chart. Write an equation in slope-intercept form to represent this linear function.
Answer:
2.50 + 9.50h
Step-by-step explanation:
Sky Launch Trampoline Park charges customers $9.50 per hour they spend jumping. Each customer must also pay $2.50 for grip socks.
Let the number of hours be h.
The equation will be:
= 2.50 + (9.50 × h)
= 2.50 + 9.50h
Which expression is equivalent to
(r-7)6?
Answer:
Step-by-step explanation:
The expression equivalent to
\(( r^{-7})^{6} \\is\\\frac{1}{r^{42} }\)
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A plane flies over city A and reaches city B in 12 minutes, which is 120 miles away from it. Find the speed of the plane in miles per hour assuming the plane flew at a constant speed.
600 mi./hr.
Step-by-step explanation
Got it right on the test
Helpp me with my sister's math
Answer:
the 1/2w +22 one is a binomial
Step-by-step explanation:
a binomial is a equation with one two separate numbers AFTER simplifcation. so "1+1" is not a binomial because its equal to just 2, but "1 + x" is a binomial because its simplifed