Answer:
x + 5 = 37
Step-by-step explanation:
Hoje tem x anos.
Daqui a 5 anos será 5 anos mais velha. A sua idade será x + 5 anos.
Daqui a 5 anos, a sua idade será 37 anos.
x + 5 = 37
Given the series ∑=1[infinity]5 ∑n=1[infinity]5nn find the ratio |||| 1||||. Ratio |an 1an|. (express numbers in exact form. Use symbolic notation and fractions where needed. )
The ratio between consecutive terms is (5^(n+1))/[(n+1)*(5^n)]. To find the ratio of the terms in the series, we need to determine the general term (an) of the series.
For the first series, ∑n=1∞ 5^n, we observe that each term is a power of 5. The general term can be expressed as an = 5^n.
For the second series, ∑n=1∞ 5^n/n, we have a combination of the terms 5^n and 1/n. The general term can be written as an = (5^n)/n.
To find the ratio between the terms, we'll calculate the ratio of consecutive terms:
Ratio = (a[n+1])/(an) = [(5^(n+1))/n+1] / [(5^n)/n]
Simplifying the expression, we can cancel out the common factors:
Ratio = (5^(n+1))/[(n+1)*(5^n)]
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What is the area of the parallelogram? You can press the button below the parallelogram to see it decomposed into a rectangle to help.
The area of the parallelogram is
square units. on zearn
The area of the parallelogram in square units will be 24 square units.
Given that:
Height, H = 4 units
WIdth, W = 6 units
Let H be the height and W be the width of the parallelogram. Then the area of the parallelogram will be given as,
Area of the parallelogram = H × W square units
The area of the parallelogram is calculated as,
A = 4 x 6
A = 24 square units
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The missing diagram is given below.
for his yearly vacation, colton plans to spend $350 on train tickets, $200 on food, $150 on accommodations, and $50 on miscellaneous expenses. how much should colton budget monthly for this vacation?
Answer:450
Step-by-step explanation:
350 + 150 + 200 + 50
What is 2.079404467 to 1 decimal place
Rounding 2.079404467 to 1 decimal place means keeping only one digit after the decimal point.
Looking at the second digit after the decimal point, which is 7, we see that it is greater than or equal to 5. Therefore, we round up the first digit after the decimal point, which is 9, by adding 1 to it.
So, rounding 2.079404467 to 1 decimal place, we get:
2.1
Therefore, 2.079404467 to 1 decimal place is equal to 2.1.
A rectangle has a length (x+3)cm and a width (x-1)cm . Given that the rectangle is 24 cm^2. Find the value of x
Answer:
4.292
Step-by-step explanation:
(x+3)(x-1)=24
expand
x²+2x-3=24
x²+2x-27=0
Using the quadratic formula..
\(\frac{-2+\sqrt{2^2-4*1*-27}}{2}=\frac{-2+10.5830052443}{2}=4.292\)
there is another answer, but it doesn't make sense in the context of this question
the un-rounded answer is 4.29150262215
Suppose 75% of smartphones sold at a retail outlet are purchased with warranty. A random sample of 25 smartphones is selected. Assuming independence, use the binomial formula or software (recommended) to answer the following questions. 1. What is the probability that, of the 25 smartphones selected: (Report probabilities accurate to at least 4 decimal places.) a) exactly 18 are purchased with warranty? b) exactly 8 are not purchased with warranty? c) all of them are purchased with warranty? d) at most 15 are purchased with warranty? e) at least 14 are purchased with warranty? f) more than half are purchased with warranty? 9) at least 14 but no more than 23 are purchased with warranty? h) less than 12 or more than 19 are purchased with warranty? 2. Calculate the mean and standard deviation of smartphones that are purchased with warranty. Round to 2 decimal places. Mean = Standard Deviation = 3. If you expect to find exactly 72 smartphones that are purchased with warranty, how large a sample should you select? Report the minimum sample size required as an integer.
The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is: The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:
The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:
h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation = Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N
= 337.11
Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.
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Wilmer went up a hill for x minutes at a speed of y kilometers per minutes. Then he went down the same path at a speed of z kilometers per minute, and it took him w minutes to do it. Write an equation that relates x, y, z, and w. (The wording for this question really confuses me. And I do not understand which variable to put on it's own.) PLEASE ANSWER
Answer:
\(xy=wz\)
Step-by-step explanation:
Given that:
Speed of Wilmer up the hill = \(y\) km/min
Time taken up the hill = \(x\) minutes
Speed of Wilmer down the hill = \(z\) km/min
Time taken up the hill = \(w\) minutes
Distance can be calculated by multiplying the Speed with Time i.e.
The formula for distance is given as:
\(Distance = Speed \times Time\)
Distance up the hill = \(y\times x =xy\ kilometers\)
Distance down the hill = \(z\times w =wz\ kilometers\)
It is well known that, the distance up the hill and down the hill will be same.
Putting both the values equal, we get:
\(xy=wz\)
Answer:
xy=wz
Step-by-step explanation:
find the surface area of that part of the plane that lies inside the elliptic cylinder
The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.
We are given the two equations are:
10x + 7y + z = 4---------(1)
\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)
equation(1) is written as
z = 4 - 10x - 7y-----------(3)
The surface area is given by the equation:
A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)
compare equation(4) with equation(3) we get the values of ∂f/∂x and
∂f/∂y
∂f/∂x = -10
∂f/∂y = -7
substitute these values in equation(4)
A(S) = ∫∫√[(-10)² + (-7)² + 1]dA
A(S) = ∫∫√[100 + 49 + 1]dA
A(S) = ∫∫√[150]dA
A(S) = √150 ∫∫dA
Where ∫∫dA is the elliptical cylinder
From the general form of an area enclosed by an ellipse with the formula;
comparing x²/a² + y²/b² = 1 with x²/25 + y²/9 = 1, from that we get the values of a and b
a = 5 and b = 3
So, the area of the elliptical cylinder = πab
Thus;
A(S) = √150 × π(5 × 3)
A(S) = 15π√150
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An experiment was conducted, and it was determined that as the amount of sunlight increased, the height of the plants increased.
Which of the following best describes this situation?
A) Based on the data, this is an example of correlation and causation.
B) Based on the data, this is an example of correlation.
C) Based on the data, this is an example of causation.
D) Based on the data, this is not an example of causation or correlation.
Answer:
A. Based on the data, this is an example of correlation and causation.
Step-by-step explanation:
Got it right on my test, heh.
Hope this helps! (づ。◕‿‿◕。)づ
Claire is planning on becoming a member at the gym down the street from her house. They charge a $60 sign-up fee and an additional $8 per month. Write a linear equation y=mx+b to represent this situation, using x to respresent the number of months and y to represent the total cost of her membership.
Answer:
The linear equation is y = 8x + 60
Step-by-step explanation:
the slope-intercept form of the linear equation is
y = m x + b, where
m is the slope of the line (the rate)b is the y-intercept (the fixed amount)∵ Claire charge a $60 sign-up fee
→ This means it is a fixed amount for a sign-up
∴ b = 60
∵ There is an additional $8 per month
→ This means it is the rate
∴ m = 8
∵ y represents the total cost of her membership in x months
→ Represent this situation by the form of the linear equation above
∴ y = 8x + 60
∴ The linear equation is y = 8x + 60
Find the equation of the straight line which passes through the point (-2,7) and Perpendicular to the line -4y+2x=-3.
Given: point (-2, 7)
The given line is perpendicular to the line we are to find.
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the other slope.
\(\begin{gathered} Equation\text{ of of the given line:} \\ -4y+2x=-3 \\ We\text{ need to write the equation in the form y = mx + b so as to get the slope} \\ -4y\text{ = -2x - 3} \\ \frac{-4y}{-4}\text{ = }\frac{-2x}{-4}-\frac{3}{-4} \\ y\text{ = }\frac{1}{2}x\text{ +}\frac{3}{4} \end{gathered}\)\(\begin{gathered} from\text{ the equation y = }\frac{1}{2}x\text{ + }\frac{3}{4} \\ m\text{ = }slope\text{ = 1/2} \\ b\text{ = }y-intercept\text{ = 3/4} \end{gathered}\)slope of the line perpendicular to the given line = negative reciprocal of the slope
slope = 1/2
reciprocal of the slope = 2/1 = 2
negative reciprocal = -2
2nd slope = -2
To get the equation of line with slope -2, we will use the point given:
\(\begin{gathered} \left(-2,\text{ 7}\right):\text{ x = -2, y = 7} \\ y\text{ = mx + b} \\ 7\text{ = -2}\left(-2\right)\text{ + b} \\ 7\text{ = 4 + b} \\ 7\text{ - 4 = b} \\ b\text{ = 3} \end{gathered}\)Th equation of line Perpendicular to the line -4y + 2x = -3 that passed through the point (-2, 7):
\(\begin{gathered} m\text{ = -2, b = 3} \\ y\text{ = mx + b} \\ \\ The\text{ equation:} \\ y\text{ = -2x + 3} \end{gathered}\)find the mistake1/3(1/2x-9)=1/2(x+18)
The solution of the equation 1/3 (1/2 x - 9) = 1/2 (x + 18) will be negative 36.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
The equation is given below.
1/3 (1/2 x - 9) = 1/2 (x + 18)
Simplify the equation, then we have
1/3 (1/2 x - 9) = 1/2 (x + 18)
(1/6)x - 3 = (1/2)x + 9
(1/2)x - (1/6)x = - 3 - 9
(1/3)x = - 12
x = - 36
The solution of the equation 1/3 (1/2 x - 9) = 1/2 (x + 18) will be negative 36.
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The correct equation is given below.
find the value of 'x'
1/3(1/2x-9)=1/2(x+18)
1.Type the missing number to complete the proportion.
5 pages in 1 day = ___________ pages in 7 days.
2.Type the missing number to complete the proportion.
7 chairs at 1 table = ___________ chairs at 9 tables.
3.Type the missing number to complete the proportion.
51 students fit on 1 bus = ___________ students fit on 8 buses.
Answer:
1. 35 pages in 7 days
2. 63 pages in 9 tables
3. 408 student on 8 buses
Step-by-step explanation:
9 x 12- 23x 24
sorry i have to add more characters :/
Answer:
-444
Step-by-step explanation:
assuming this is 9 times 12 minus 23 times 24
the answer is -444
Need help anyone please
Whenever two or more lines intersect at a point, an angle is usually produced. And some of these angles formed may have common properties, and thus be congruent.
The appropriate reasons for the given statements in the question are given below:
STATEMENT REASON
1. <1 ≅ <2 Vertical Angle theorem
2. <1 and <2 are complementary
<2 and <3 are complementary Congruent Complements Theorem
3. <1 and <2 are supplementary
<2 and <3 are supplementary Congruent Supplements
4. <1 and <2 are right angles All Right Angles are Congruent
5. <1 ≅ <2,
<1 and <2 are supplementary If two angles are congruent and
supplementary, then each angle is
a right angle.
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Please respond quick!!!
I think that for a its 1.12 and for b its 39424
100 + 12 = 112
112/100 = 1.12
35200 * 1.12 = 39424
Will give Brainliest!!!
the probability that paul can solve the crossword puzzle in an hour is 0.4. the probability that annie can do that is 0.6. Find the probability that a)both of them can solve the puzzle in an hour; b) neither can solve the puzzle in an hour; c)only Mary can solve the puzzle in an hour; d)Mary or Burt can solve the puzzle in an hour;
The probabilities are given as follows:
a) Both: 0.24.
b) Neither: 0.24.
c) Only Mary: 0.36.
d) Mary or Burt: 0.76.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.
For both people, we multiply the probabilities, hence:
0.6 x 0.4 = 0.24.
For neither people, we multiply the complement of the probabilities, hence:
(1 - 0.6) x (1 - 0.4) = 0.24.
For only Mary, we have that:
(1 - 0.4) x 0.6 = 0.36.
For at least one, we subtract the total of 1 from neither, hence:
1 - 0.24 = 0.76.
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Whom does Atticus ask to go with him to tell Helen Robinson about the death of her husband?
Scout
Calpernia
Jem
No one
Atticus asks Calpurnia to go with him to tell Helen Robinson about the death of her husband. Option B is the correct answer.
Helen Robinson was Tom Robinson's widow in To Ki-ll a Mockingbird, a novel by Harper Lee. Despite the fact that she is not a major character in the story, she plays a significant role in the novel's plot. When Bob Ewell accuses Tom Robinson of ra-pe, Atticus Finch is hired to defend him, and Helen Robinson appears in the story.
When Tom Robinson, a black man, was accused of rapi-ng a white woman, Mayella Ewell, he was arrested and imprisoned in the local jail. He was sentenced to death, but he attempted to flee and was subsequently sh-ot and kill-ed by a group of guards. When the news of his death reaches Atticus, he goes to tell Helen Robinson that her husband had died. Atticus, recognizing that it will be difficult for her to receive such news, offers to accompany her and asks Calpurnia to come along with him.
Calpurnia was the Finch family's black housekeeper in the novel To K-ill a Mockingbird. She is one of the few African American characters in the book who has a speaking role, and she serves as a motherly figure to Scout and Jem. Throughout the novel, she serves as a bridge between the white and black communities, and she plays a crucial role in the story's resolution.
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ABCD is a parallelogram. What is the measure of ∠ACD?
Step-by-step explanation:
Here
5x+16+7x-3+6x+5 = 180(being sum of triangle)
or, 18x=180-18
or, x= 162/18
so, x = 9
now,
here,
<ACD = <ACB(diagonals of parallelogram bisect eachother)
or, <ACD = 7x-3
or, <ACD = 7×9-3
or, <ACD = 63-3
So, <ACD = 60°
meteora, Inc., has an issue of preferred stock outstanding that pays a $5.35 dividend every year in perpetuity. If this issue currently sells for $93 per share, what is the required return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
The required return of the preferred stock of Metreora, Inc. is 5.78%.
Metreora Inc. has a favored stock that is remarkable and delivers a profit of $5.35 consistently in ceaselessness. The inquiry is trying to figure out the necessary return of the favored load of the organization which is presently selling at $93 per share.
The following is the formula for determining the required return: A $5.35 dividend is paid out on Metreora, Inc.'s preferred stock. $$Required Return = Dividend Text Price The preferred stock currently costs $93 per share. As a result, the following formula can be used to determine the preferred stock's required return: $$\text{Required Return} = \frac{5.35}{93} \approx 0.0578$$
This esteem should be switched over completely to a rate esteem by duplicating by 100. This indicates that Metreora, Inc.'s preferred stock must return approximately 5.78 percent. Consequently, the necessary return of the favored supply of Metreora, Inc. is 5.78%.
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Identify the measure of arc AD◠.
Answer:
36
Step-by-step explanation:
18*2 = 36
in which quadrant will the image of figure PQRS be located after a reflrction across the x-axis
Given
The current figure is in quadrant II.
Explanation
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).
Solution
Therefore, the figure reflected on the x-axis would be in quadrant III.
two numbers have a sum of 10 and a product of 20 what is the sum of the reciprocal of the numbers
HELP
The sum of the reciprocals of the two numbers is 0.5
How to find the reciprocal of the numbersLet the two numbers be x and y such that
x + y = 10
xy = 20
In x + y = 10, x = 10 - y
plugging in in xy = 20
(10 - y)y = 20
10y - y² - 20 = 0
y² - 10y + 20 = 0
solving the quadratic equation gives
y = 2.76 OR 7.24
sum of the reciprocal of the numbers
= 2.76⁻¹ + 7.24⁻¹
= 0.5
the sum is 0.5
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find the area of quadrilateral
Answer:
here is answer try this type
What is the scale factor of this dilation?
Answers:
A. 1/2
B.3/5
C.1 2/3
D.2
Answer:
3/5
Step-by-step explanation:
scale factor of ab to A'B'
AB:A'B'
5 : 3
in fraction the scale
factor is 3
—
5
heance a reduction.
hope it helps thank me later
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#carry on learning
star, incorporated, used excel to run a least-squares regression analysis, which resulted in the following output: regression statistics multiple r 0.9814 r square 0.9576 observations 30 coefficients standard error t stat p-value intercept 174,182 60,782 2.87 0.020 production (x) 11.93 0.9256 12.89 0.000 what total cost would star predict for a month in which production is 2,000 units?
The total cost predicted for a month with 2,000 units of production using the equation of the regression line $197,042.
The total cost predicted by Star, Inc. for a month in which production is 2,000 units would be calculated using the equation of the regression line:
y = intercept + (slope * x)
where y is the total cost, x is the production, intercept is the y-intercept (174,182), and slope is the coefficient of production (11.93).
Plugging in the values, we get:
y = 174,182 + (11.93 * 2,000) = 174,182 + 23,860 = 197,042
So the total cost predicted for a month with 2,000 units of production is $197,042.
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120 side of building a veterinary clinic plans to build four identical dog kennels along the side of its building using 210 feet of fencing, as shown in the diagram. what should the dimensions of each kennel be to maximize the total enclosed area if no fencing is needed along the side of the building?
Each kennel should have dimensions of 35 feet by 45 feet to maximize the total enclosed area if no fencing is needed along the side of the building.
By considering the total area enclosed by all four kennels. Since they are identical, we can just focus on one kennel and multiply by four. Let the length of the kennel "L" and the width "W". We know that the perimeter of the kennel is 2L + 2W = 210 feet. We also know that we don't need any fencing along the side of the building, so one side of the kennel will be the building itself, which has length 120 feet. Therefore, we can write: 2L + W = 210 - 120 = 90
Solving for one variable in terms of the other, we get: L = 45 - 0.5W Now we want to maximize the area enclosed by the kennel. The area of a rectangle is simply length times width, so the area enclosed by one kennel is: A = LW = (45 - 0.5W)W = 45W -\(0.5W^2\)
To find the maximum area, we can take the derivative of this expression with respect to W and set it equal to zero: dA/dW = 45 - W = 0 Solving for W, we get W = 45. Plugging this back into our equation for L, we get L = 35. Therefore, each kennel should have dimensions of 35 feet by 45 feet to maximize the total enclosed area.
To verify that this gives the maximum area, we can substitute these values into our expression for the area and simplify: A = LW = 35 * 45 = 1575 square feet per kennel. Total area = 4 * 1575 = 6300 square feet.
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Please help meh lol.
Answer:111m^2
Step-by-step explanation:
PLEASE HELP ASAP I WILL GIVE BRAINLIST
Find the lengths of segments AD and BD.
(Rounded to the nearest tenth)
Answer: AD=2.08335, BD=5
Step-by-step explanation: i use calculator, i tried my best(on calculator).