Answer:
6*5=30
Step-by-step explanation:
Answer: 30
Step-by-step explanation: it means multiply 6 by 5
The apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.
The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.
The apothem of a regular polygon is the perpendicular distance from the center of the polygon to any one of its sides because it serves as a measure of the inradius, or the radius of the circle inscribed within the polygon. In a regular polygon, all sides are congruent and all interior angles are equal, so the apothem is the same for all sides.
To see this, imagine drawing radii from the center of the polygon to each vertex, and then drawing the perpendicular bisector of each side. These perpendicular bisectors will all intersect at the same point, which is the center of the polygon. The apothem is the length of the line segment connecting this center point to any one of the sides of the polygon.
The apothem is useful in finding the area of a regular polygon. By using the formula for the area of a regular polygon in terms of the apothem and the number of sides, one can find the area of a regular polygon without having to find the exact shape of the polygon.
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the questionnaire is a carefully constructed measurement instrument. group of answer choices true false
Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.
A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.
Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.
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Plzz answer quickly
Answer:
For this question if you need proper help in video format, tthen watch the video of MIND YOUR DECISIONS
someone please PLEASE help me !!!!
Step-by-step explanation:
A)
the domain of a function is the interval or set of all valid values for the input variable (the parameter of the function) - in our case here "n".
as the description says, "n" is the number of days observing the growth of the plant.
so, what are useful values for the number of observation days ?
negative numbers ? no, for sure not.
0 ? yes, as the starting size of the plant, when the study began.
and greater than 0 ? yes, up to the n, where the functional value reaches 11.04.
beyond that ? no, because it does not make any sense, as nobody was checking, if the curve still fits. and a plant for sure will not grow to infinity.
so, the interval is [0, x].
and x is the solution for n of
11.04 = 10(1.02)^n
1.104 = (1.02)^n
\( log_{1.02}(1.104) = n\)
and to calculate that with our calculators we know that
\( log_{b}(a) = \frac{ log_{c}(a) }{ log_{c}(b) } \)
so, let's simply use log to the base of c=10 :
\( \frac{ log(1.104) }{ log(1.02) } = n\)
n = 0.042969073... / 0.008600172... = 5
the study ended after day 5.
therefore, the domain interval is [0, 5]
B)
I answered this already under A.
the y-intercept is the point of n=0, and it is the starting size of the plant, when the study began (day 0).
C)
the average rate of change of a function in an interval [begin, end] is simply
(f(end) - f(begin)) / (end - begin)
in our case
begin = 1
end = 5
(f(5) - f(1))/(5-1) = (10(1.02)⁵ - 10(1.02)¹)/4 = (11.04 - 10.2)/4 =
= 0.84/4 = 0.21
that means the plant grew as average 0.21 cm per day during that observation period between day 1 and day 5.
Handel and Charles plan to rent one of the two community garden spaces shown. Space A rents for $1.50 per square unit, and Space B rents for $1.25 per square unit.
Answer:
Yesaahhauehwusbwubsauwi8whbwuwbwuwbwjbw
ind the general solution to the differential equation.y'' 4y' 29y = 0
The general solution to the given second-order linear homogeneous differential equation y'' + 4y' + 29y = 0 can be expressed as y(x) = C₁e^(-2x)cos(5x) + C₂e^(-2x)sin(5x), where C₁ and C₂ are arbitrary constants.
To find the general solution, we first assume a solution of the form y(x) = e^(rx). Substituting this into the differential equation, we obtain the characteristic equation r² + 4r + 29 = 0. Solving this quadratic equation, we find that the roots are complex: r = -2 ± 5i.
Using the complex roots, we can express the general solution as y(x) = C₁e^(-2x)cos(5x) + C₂e^(-2x)sin(5x), where C₁ and C₂ are constants determined by the initial conditions or boundary conditions of the specific problem.
The term e^(-2x) represents the exponential decay factor, while the cosine and sine terms account for the oscillatory behavior in the solution. The constants C₁ and C₂ determine the amplitude and phase of the oscillations, respectively.
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What is the solution of the following one-step equation?
X-8 = 15
Answer: x=23
Step-by-step explanation:
X-8=15. Add 8 to both sides. The 8 cancels on the left side because -8 +8 is 0 leaving x. 15+8=23 meaning x=23.
Complete the paragraph proof.
We are given AB ≅ AE and BC ≅ DE. This means ABE is an isosceles triangle. Base angles in an isosceles triangle are congruent based on the isosceles triangle theorem, so ∠ABE ≅ ∠AEB. We can then determine △ABC ≅ △AED by
. Because of CPCTC, segment AC is congruent to segment
. Triangle ACD is an isosceles triangle based on the definition of isosceles triangle. Therefore, based on the isosceles triangle theorem, ∠ACD ≅ ∠ADC.
Angle ACD is congruent to angle ADC by transitive equality if angles 1 and 2 are both ACD because angle ACB is congruent to angle ADE in the step above. Therefore, angle 1 equals angle 2, as you can see.
What is isosceles triangle?An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.
Here,
Given that segments AB and AE are congruent, the triangle ABE is required to be isosceles by definition.
As a result, angle ABC must be similar to angle AED, again in accordance with the definition of an isosceles triangle.
Consequently, triangle ABC must be congruent to triangle AED by SAS as you have been informed that segments BC and DE are congruent. Right now, it's unclear to you whether angle 1 is ACB or ACD.
Assuming it is ACB, CPCT shows that ACB is congruent to ADE. Angle 1 equals angle 2, so there you have it. Since angle ACB is supplementary to angle ACD and angle ADE is supplementary to angle ADC.
Since angle ACB is congruent to angle ADE from the step above, angle ACD is congruent to angle ADC by transitive equality if angle 1 and angle 2 are both ACD. Angle 1 equals angle 2, so there you have it.
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Select the parallel lines from the given pairs of lines :
Select one:
a.
y = x / 3 + 1, y = - x / 2 + 15
b.
y = 7x + 11, y = x / 2 + 11
c.
y = 3x + 21, y = − 3x - 8
d.
y = 5x / 2 + 1, y = 5x / 2 + 7
Answer:
d. y = 5x/2 + 1, y = 5x/2 + 7
Step-by-step explanation:
Both lines have the same slope (5/2) , so they are parallel.
(b) If u and v are any two vectors, prove that |ux v² = |u|²|v|² − (u • v)². A triangle ABC is such that AB = 2b-a and AC = b + a, use the above identity to show that the area of the triangle is given by 3 12 √√|a₁|²|b² − (a • b)².
Simplifying further:
Area = 1/2 * sqrt((b² - 4
To prove the identity |u × v|² = |u|²|v|² - (u • v)², we can use the properties of the cross product and dot product.
Let's start with the left-hand side of the equation:
|u × v|² = (u × v) • (u × v)
Using the properties of the dot product and the cross product, we can expand the expression:
(u × v) • (u × v) = (u • u)(v • v) - (u • v)²
Since (u • u) = |u|² and (v • v) = |v|², we can substitute these values back into the equation:
|u × v|² = |u|²|v|² - (u • v)²
This proves the identity |u × v|² = |u|²|v|² - (u • v)².
Now let's move on to the triangle ABC.
Given AB = 2b - a and AC = b + a, we can find the vector BC by subtracting AB from AC:
BC = AC - AB = (b + a) - (2b - a) = -b + 2a
The area of a triangle can be calculated using the formula:
Area = 1/2 * |BC × BA|
Let's calculate the components of BC and BA:
BC = <-b + 2a, 0>
BA = <2b - a, 0>
Now we can use the identity |u × v|² = |u|²|v|² - (u • v)² to simplify the expression for the area.
|BC × BA|² = |BC|²|BA|² - (BC • BA)²
Since the y-components of BC and BA are both zero, their cross product will have only a z-component:
BC × BA = <0, 0, (-b + 2a)(2b - a)>
= <0, 0, -2b² + ab + 4ab - 2a²>
= <0, 0, -2b² + 5ab - 2a²>
The magnitude of this cross product is:
|BC × BA| = sqrt((-2b² + 5ab - 2a²)²)
Now let's calculate the squared magnitude of BC:
|BC|² = (-b + 2a)²
= b² - 4ab + 4a²
And the squared magnitude of BA:
|BA|² = (2b - a)²
= 4b² - 4ab + a²
Finally, let's calculate the dot product BC • BA:
BC • BA = (-b + 2a)(2b - a) + 0
= -2b² + ab + 4ab - 2a²
Now we can substitute these values back into the formula for the area:
Area = 1/2 * |BC × BA|
= 1/2 * sqrt((-2b² + 5ab - 2a²)²)
= 1/2 * sqrt((|-BC|²|BA|² - (BC • BA)²)
= 1/2 * sqrt((b² - 4ab + 4a²)(4b² - 4ab + a²) - (-2b² + ab + 4ab - 2a²)²)
Simplifying further:
Area = 1/2 * sqrt((b² - 4
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can someone please help explain how to do multi- digit number multiplication? Please help ASAP!
Answer:
To multiply large numbers, stack the first number on top of the second. Then multiply each digit of the bottom number, from right to left, by the top number. In other words, first multiply the top number by the ones digit of the bottom number.
Step-by-step explanation:24
* 1 5
Answer:
Example: 456 times 7
400 times 7 is 2800
50 times 7 is 350
6 times 7 is 42
2800+350+42=3192
Step-by-step explanation:
a) Change 65 cm to mm.
Answer
650
explanation:
multiply the length value by 10
The area A of a rectangular swimming pool is given by the equation A=12w-w^2, where w is the width of one side. Write an expression for the other side of the pool.
Answer: y=mx+c
Step-by-step explanation:
A 15-foot board is cut into two pieces. If one piece is x feet long, express the other length in terms of x.
The expressions x and 15-x add back up to 15.
An example: Let x = 7 which means the remaining piece is 15-x = 15-7 = 8 feet long.
Answer: 5-x
Step-by-step explanation:
true/false if y is a differentiable function of u and u is a differentaible function of u and u is a differentaible function of x, then y is a differentiable function of x
True. If y is a differentiable function of u and u is a differentiable function of x, then the chain rule states that y is a differentiable function of x.
The chain rule states that if y is a function of u and u is a function of x, then the derivative of y with respect to x is equal to the derivative of y with respect to u multiplied by the derivative of u with respect to x. This means that if y is a differentiable function of u and u is a differentiable function of x, then y is also a differentiable function of x.
In mathematics, a function is said to be differentiable at a point if it is possible to define the derivative of the function at that point. The derivative of a function is a measure of how the function changes as its input (or independent variable) changes. It is defined as the limit of the difference quotient, which is a measure of the rate of change of the function over a small interval around the point of interest.
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On a coordinate plane, a line goes through (negative 1, 1) and (0, negative 3). a point is at (negative 4, negative 3) and (0, negative 3). what is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)? y 3 = −4(x 4) y 3 = –one-fourth(x 4) y 3 = one-fourth(x 4) y 3 = 4(x 4)
The equation of the required line would be x - 4y = 8.
What is the slope-point form of the line?
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
A line goes through the point (-1, 1) and (0,-3)
so the slope of the given line would be:
\(m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-3-1}{0-(-1)}\\\\m=-4\)
And we have to find the line which passes through the point (-4, -3) and the required line is perpendicular to the given line.
As we know the product of slopes of perpendicular lines is -1.
So the slope of the required line would be = 1/4
By using a slope-point form of the line, we get
\(y - y_1=m(x-x_1)\\\\y-(-3)=\frac{1}{4}(x-(-4))\\\\4(y+3)=x+4\\\\4y+12=x+4\\\\x-4y=8\)
Hence, the equation of the required line would be x - 4y = 8.
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Answer:
C
Step-by-step explanation:
Which of the following is a measure of the reliability of a statistical inference? Answer A descriptive statistic. A significance level. A sample statistic. A population parameter.
The measure of reliability of a statistical inference is the significance level. The significance level, also known as alpha, is the probability of rejecting the null hypothesis when it is actually true. It determines the threshold for accepting or rejecting a hypothesis.
A lower significance level indicates a higher level of confidence in the results. A descriptive statistic provides information about the data, but it does not directly measure the reliability of a statistical inference. It simply summarizes and describes the characteristics of the data.
A sample statistic is a numerical value calculated from a sample, such as the mean or standard deviation. While it can be used to make inferences about the population, it does not measure the reliability of those inferences.
A population parameter is a numerical value that describes a population, such as the population mean or proportion.
While it provides information about the population, it does not measure the reliability of inferences made from a sample. In conclusion, the significance level is the measure of reliability in a statistical inference as it determines the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.
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If Kevin has 3/4 of a rope in needs 4/8 of a rope how much more rope does he need.
If he needs 4/8 then he doesn't need anymore rope because 3/4 is equal to 6/8
The points on a section of an exam is given by the function f (x), where x is the number of questions answered correctly in that section.If f (8) = 19, then a test-taker receives 19 points for answering_____questions in the section correctly.
Answer:
If f (8) = 19, then a test-taker receives 19 points for answering 8 questions in the section correctly.
Explanation:
We are told that the function f(x) outputs points on a section on an exam given x the number of questions answered correctly. This means if put in in x (the number of correct answers) f(x) will take the value of the number of points scored.
Hence, x = 8 means 8 questions were answered correctly and f (8) = 19 means that 19 points were earned.
Thus, the correct wording is
"If f (8) = 19, then a test-taker receives 19 points for answering 8 questions in the section correctly."
EMERGENCY!! PLEASE HELP ME IMMEDIATLEY PLEASE!!!PLEASE HELP MEEEE!!!!
Answer: x=-5
The line is only at one x-value. The ine x- aloe the lien is at is -5. So, the equation is x=-5.
answer all of these please!
Answer:
1. Given
2. Given
3. Vertical Angles prop
4. SSS
Step-by-step explanation:
Hope this helps ya!
You are lucky I wish our teacher gave us proofs like this!
Jason rolls a fair number cube labeled 1 through 6 and then he flips a coin what is the probability that he rolls a 3 and flips a head
There are 6 numbers on the cube.
The probability of getting a 3 would be 1 out of 6, 1/6
The probability of getting heads on a coin toss is 1/2
The probability of getting both a 3 and a head = 1/6 x 1/2 = 1/12
Answer: 1/12
a=(3,-4), b=(8,-1) y c=(-2,5)
V=3a-2b+c
Answer:
5729627829263#wyyeiwyuwityeioe
The Drama club is selling tickets to a play for x dollars each for each ticket they sell the school receives x dollars and the drama club receives the remaining amount the drama club sells 108 tickets for a total of (108x+972) dollars how much money does the drama club receive for each ticket that they sell thanks
The drama club receives $7 for each ticket that they sell.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Given,
Amount received by school = x dollars
Amount received by school for 96 tickets = 96x
Amount received by drama club = remaining amount after school
Total amount of 96 tickets = 96x+672
Here,
96x is the share of school
672 is the share of drama club for 96 tickets.
Therefore;
96 tickets =672 dollars
1 ticket = 672/96
1 ticket = 7 dollars
The drama club receives $7 for each ticket that they sell.
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(x²+5x-2)÷(x+5)
find the remainder
9514 1404 393
Answer:
-2
Step-by-step explanation:
The first two terms have a common factor of x. Taking that out gives ...
(x² +5x -2) ÷ (x +5)
= (x(x +5) -2) ÷ (x +5)
= x -2/(x +5)
The remainder is -2.
_____
The remainder can also be found by evaluating (x² +5x -2) for x = -5:
(-5)² +5(-5) -2 = 25 -25 -2 = -2
The remainder is -2.
Suppose that cos(θ)=2/3. Find the exact value of sec(θ)
Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional
Answer
linear
nonproportional
Step-by-step explanation:
Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.
At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.
Answer:
linear
nonproportional
Catherine rolls a 6-sided die five times, and the product of her rolls is 300. How many different sequences of rolls could there have been? (The order of the rolls matters.)
Answer:
There are 15 different sequences of rolls that could have resulted in a product of 300 when rolling a 6-sided die five times.
Step-by-step explanation:
To determine the number of different sequences of rolls Catherine could have had, we need to find the number of ways to express 300 as the product of five factors.
Let's factorize 300:
300 = 2 * 2 * 3 * 5 * 5
Now, we can assign these factors to the five rolls. Since the order of the rolls matters, we can use the concept of permutations.
We have two 2s, one 3, and two 5s. To find the number of different sequences, we need to calculate the permutations of these factors.
The number of permutations of five items taken from a set of two identical items, one identical item, and two identical items can be calculated using the formula:
P(n; n1, n2, ..., nk) = n! / (n1! * n2! * ... * nk!)
Where:
n is the total number of items (5 rolls)
n1, n2, ..., nk are the number of identical items (2, 1, 2)
Using this formula, we can calculate the number of different sequences of rolls:
P(5; 2, 1, 2) = 5! / (2! * 1! * 2!) = (5 * 4 * 3 * 2 * 1) / (2 * 1 * 1 * 2) = 60 / 4 = 15
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Can someone explain the concept of conversion tables to me? I don't understand how to use them, (mainly because of the amount of numbers involved) and I need some help.
Answer:
Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)
Step-by-step explanation:
The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered. If 95,000 citizens answered the question, how many chose Snakes or Dogs?
First, we need to calculate the percentage of citizens who chose either Snakes or Dogs.
The percentage of citizens who chose Dogs is 26%, which is equivalent to 0.26 as a decimal.
The percentage of citizens who chose Snakes is 10%, which is equivalent to 0.10 as a decimal.
To find the number of citizens who chose either Snakes or Dogs, we need to multiply the total number of citizens by the combined percentage of Snakes and Dogs:
0.26 + 0.10 = 0.36
So the combined percentage of Snakes and Dogs is 36%.
To find the number of citizens who chose Snakes or Dogs, we can multiply the total number of citizens by this percentage:
0.36 x 95,000 = 34,200