Your answer is B. t-15+15=76+15 t=91
X Stadium AE X Hospital The University is on a bearing of 070° from the Stadium and 280° from the Hospital. Mark the position of the University on the map with a cross (x).
In the below diagram, X represents the position of the University, H represents the Hospital, and S represents the Stadium. The line connecting H and S is the baseline for the bearings.
First, draw a map with the Stadium and the Hospital marked, and draw a line connecting them.
Then, from the Stadium, draw a line at a bearing of 070°. From the Hospital, draw a line at a bearing of 280°.
The University is located at the intersection of these two lines, which is where we should place the cross.
Bearings are usually measured in degrees clockwise from North, so 070° is almost due East, while 280° is slightly North of West. We can use a protractor or a compass to measure and draw these angles accurately.
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what are the coordinates for the center of the circle in the length of the radius X squared plus Y squared minus X minus 2Y -11 over four equals zero
Given:
The equation of a circle is:
\(x^2+y^2-x-2y-\dfrac{11}{4}=0\)
To find:
The center of the circle and its radius.
Solution:
The standard form of a circle is:
\((x-h)^2+(y-k)^2=r^2\) ...(i)
Where, (h,k) is center and r is the radius of the circle.
The given equation of the circle is:
\(x^2+y^2-x-2y-\dfrac{11}{4}=0\)
Write the given equation in standard form of a circle.
\((x^2-x)+(y^2-2y)-\dfrac{11}{4}=0\)
\(\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0\)
\(\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0\)
\(\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0\)
On further simplification, we get
\(\left(x-0.5\right)^2+(y-1)^2-3-1=0\)
\(\left(x-0.5\right)^2+(y-1)^2-4=0\)
\(\left(x-0.5\right)^2+(y-1)^2=4\)
\(\left(x-0.5\right)^2+(y-1)^2=2^2\) ...(ii)
On comparing (i) and (ii), we get
\(h=0.5,k=1,r=2\)
Therefore, the center of the circle is (0.5,1) and radius is 2 units.
How does the number 32.4 change when you multiply it by 10 to the power of 2 ? select all that apply.
a). the digit 2 increases in value from 2 ones to 2 hundreds.
b). each place is multiplied by 1,000
c). the digit 3 shifts 2 places to the left, from the tens place to the thousands place.
The Options (a) and (c) apply to the question, i.e. the digit 2 increases in value from 2 ones to 2 hundred, and, the digit 3 shifts 2 places to the left, from the tens place to the thousands place.
32.4×10²=32.4×100=3240
Hence, digit 2 moves from one's place to a hundred's. (a) satisfied
And similarly, digit 3 moves from ten's place to thousand's place. Now, 1000=10³=10²×10.
Hence, it shifts 2 places to the left.
Therefore, (c) is satisfied.
As for (b), where the statement: Each place is multiplied by 1,000; the statement does not hold true since each digit is shifted 2 places, which indicates multiplied by 10²=100, not 1000.
Hence (a) and (c) applies to our question.
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I need help figuring out This problem .
The value of x in the two congruent triangles is 3.9 and length CB is 53.9.
What is the value of x in the given triangle?The value of x can be determined by applying the principle of congruent theorem.
The congruent theorem states that, if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other.
( 11x + 11 ) / 77 = 21 / 30
11x + 11 = 53.9
11x = 53.9 - 11
11x = 42.9
x = 42.9 / 11
x = 3.9 units
The length of CB = ( 11 x 3.9 ) + 11 = 53.9
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for each of the following series, indicate whether the integral test can be used to determine its convergence or not, and if not, why. a. can the integral test be used to test convergence? a. no, because the terms in the series do not decrease in magnitude b. no, because the terms in the series are not all positive for , for some c. no, because the series is not a geometric series d. no, because the terms in the series are not recursively defined e. no, because the terms in the series are not defined for all f. yes b. can the integral test be used to test convergence? a. no, because the terms in the series do not decrease in magnitude b. no, because the terms in the series are not all positive for , for some c. no, because the series is not a geometric series d. no, because the terms in the series are not recursively defined e. no, because the terms in the series are not defined for all f. yes
Let's look more closely at the integral test for identifying a series' convergence or divergence. Can divergence be tested using the integral test? No, because the series' words don't get smaller.
what is unitary method?The unit methodology is a strategy for addressing issues that entails first figuring out the value of just one unit, then scaling that value to figure out the needed value.
According to the integral test, if a series a n is a line of positive terms and a function f(x) is smooth, negative, and declining on an interval [a, ), then the serial converges if it does so after the corresponding improper total a to f(x) dx likewise converges. This can be written mathematically as:
If and only if a to f(x) dx converges, then a n converges.
To remember, have the following in mind:
Reducing magnitude of terms: As n rises, the series' terms a n must get smaller. For the integral t convergence, the variable f(x) must decrease as prices increase. This is since the integral test depends on comparing the series with just an associated integral.
Positive terms: For all n larger than or comparable to some value, the terms in the series a n must be positive. This is so that the integral test may be performed, which requires that the function f(x) be negative on the integration range [a, ].
The series has to be a number of positive terms, meaning that a n > 0 for all n. As the integral test compares that serial with the completion of an adjacent integral of such a positive function, this is a prerequisite for the test to be relevant.
Term definition: All n terms with in series must be defined. As a result, the series needs to be specified for each positive integer n. The integral test might not be applied if the words are not stated for all n.
Positive terms: For all n, the definitions in the range must be true. This is so that the integral test may compare the series with an integral of a positively associated with employee that is connected with it.
The intrinsic test is capable of helping evaluate whether the series is converging or diverging if all of these requirements are satisfied. The integral test, however, might not be valid if any of the aforementioned requirements are not met.
It may be necessary to employ alternative techniques instead, such as the test sample, rough estimate, or root test. When performing the essential test to determine whether a given series is convergent or divergent, it is crucial to carefully examine these requirements.
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we can use the analysis of variance procedure to test hypotheses about
The analysis of variance is a valuable tool for examining potential differences among three or more groups, helping to make informed decisions based on data. It enables researchers to determine if there is a significant factor affecting the outcome or if the observed variations are simply due to chance.
The analysis of variance (ANOVA) procedure is a statistical technique used to test hypotheses about the means of three or more groups. ANOVA compares the variance within each group to the variance between the groups to determine if there is a significant difference in means. This test is commonly used in research studies to determine if a particular treatment or intervention has an effect on the outcome of interest.
In an ANOVA, the null hypothesis assumes that all group means are equal, while the alternative hypothesis suggests that at least one group mean is different from the others. By calculating the F-statistic and comparing it to a critical value, we can determine whether to reject or fail to reject the null hypothesis.
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What is mzQPS?
A. 68
B. 71
C. 84
D. cannot be determined
The value of the angle m<QPS cannot be determined. Option D
How to determine the valueTo determine the value of the angle, we need to take note of the properties of a parallelogram
The opposite sides are parallel and equal.The opposite angles are also equal.The consecutive or adjacent angles are supplementary, that is, they sum up to 180 degrees
From the information given, we have that;
m<R = 6x -14
m<Q = 3x + 8
m< S= 5x + 4
The value of the angle , QPS cannot be determined because the angle is not represented with any variable for calculation
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Y=x-12, y=14 what is x I need someone to answer fast please
Answer:
x = 26
Step-by-step explanation:
If Y= x - 12 and Y = 14
Then we input the value of y which gets us the equation of: 14 = x - 12
Now we add 12 on both sides to isolate the variable.
We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x
Easily we can find that 26=x
find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.
The central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle
For given question,
we need to find the radian measure of the central angle of a circle of radius r.
The central angle intercepts an arc of length s.
Let θ be the central angle in radians.
We know that the arc length of circle of radius r is,
s = r × θ
where s is the arc length
r is the radius of the circle
θ is the central angle measured in radians
From above equation,
we have, θ = s ÷ r
Therefore, the central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle
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Consider the following system of equations.
StartLayout Enlarged left-brace 1st row negative 10 x squared minus 10 y squared = negative 300 2nd row 5 x squared + 5 y squared = 150 EndLayout
Which statement describes why the system has infinite solutions?
The equations represent parabolas that result in graphs that do not intersect.
The equations represent circles that result in graphs that do not intersect.
The equations represent parabolas that result in the same graph.
The equations represent circles that result in the same graph.
Answer:
the answer is going to be D
Step-by-step explanation:
Answer:
The equations represent circles that result in the same graph.
Step-by-step explanation:
Use the picture below to answer the question. Price of Cookies A $0.20 11. $0.40 C. $1.00 D. $1.20 Cookies dozen 20g each or $2.00 per Trisha wants to buy I dozen cookies (12 cookies). What is the difference in price between buying 12 cookies individually and buying them by the dozen?
The price difference between buying 12 cookies individually and buying them by the dozen is $0.40
What is the Cookies price about?Note that from the question, the price of Cookies A is $0.20 for each cookie, so to buy 12 cookies solely, Thus Trisha would need to pay:
12 * $0.20
= $2.40
Since price of Cookies A is $2.00 per dozen, to buy 12 cookies by the dozen, Trisha will pay:
1 * $2.00
= $2.00
Hence the difference in price of buying 12 cookies solely and buying by the dozen is:
$2.40 - $2.00
= $0.40
Therefore, the price is $0.40 cheaper for Trisha to buy 12 cookies by the dozen than to buy them individually.
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plz help me with this
Step-by-step explanation:
numbers 1 4 and 7
(6x^2+7x+2)-(-9x^2-10)
= (6x² + 7x + 2)- (-9x² -10)
= 6x² + 7x + 2 + 9x² +10
= 9x² + 6x² + 7x +10 + 2
= 15x² + 7x +12
Answer:
15x^2+7x+12
Step-by-step explanation:
Distribute the Negative Sign:
=6x2+7x+2+−1(−9x2−10)
=6x2+7x+2+−1(−9x^2)+(−1)(−10)
=6x2+7x+2+9x^2+10
Combine the terms:
6x2+7x+2+9x2+10
=(6x2+9x2)+(7x)+(2+10)
=15x2+7x+12
(All the 2's with the 9 that aren't added(so for example 9x2. That means 9x to the power of 2) are the exponents. I do not know how u write them up on the thing but here u go.)
the following results on summations will help us in calculating the sample variance s2. for any constant c,
In the context of calculating sample variance (s²), the following results on summations can be helpful.
These results state that for any constant c, the sum of the squared deviations from c is equal to the sum of the squared values minus 2c times the sum of the values, plus c squared times the count of values.
To calculate the sample variance (s²), which measures the variability of a set of values, it is necessary to compute the sum of the squared deviations from the mean. The following results on summations can aid in this calculation:
Sum of Squares: The sum of the squared values is equal to the sum of each value squared.
∑(x²) = (x₁)² + (x₂)² + ... + (xₙ)²
Deviation from a Constant: If we have a constant value c, the sum of the squared deviations from c is obtained by subtracting 2c times the sum of the values from the sum of the squared values and adding c squared times the count of values.
∑((x - c)²) = ∑(x²) - 2c∑(x) + c²n
These results can be utilized in calculating the sample variance (s²) by considering c as the mean of the values. By applying these formulas, we can efficiently compute the necessary summations and obtain the desired variance measurement for the given dataset.
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17 a) Find the nth term of the arithmetic sequence 1,11,21,31,41....
b) Find the 100th term.
Step-by-step explanation:
use the formula a+(n-1)d
a=(first value in sequence)=1
n=100(the term you are finding)
d=(difference)(it is increasing by 10
substitute the value in the formula
1+(100-1)10
100th term=991
find the value of x if RS bisects AB and RS = 36
Answer:
18 + 2y + 6 = 36
2y = 12
y = 6
step explanation:
Since RS bisects AB,
25 - 3x = 2y + 5
25 - 3x = 2(6) + 5 = 12 + 5 = 17
3x = 25 - 17 = 8
x = 8/3
the Robersons are planning to re-pave their driveway. The length of the driveway is 7 feet longer than the width. The total area of the driveway is 144 ft.² write an equation to represent the dimensions of the driveway. now find the dimensions of the driveway.
It takes Izzy 3 mins to complete 2 problems on her math HW. How long will it take Izzy to complete 12 problems
If Izzy can complete 2 math problems in 3 minutes, then she can complete one math problem in 1.5 minutes. Therefore, it will take her 18 minutes to complete 12 problems.
1. To find the amount of time it will take Izzy to complete 12 math problems, we can use the information that it takes her 3 minutes to complete 2 problems. We can start by finding out how long it takes her to complete one problem. If it takes her 3 minutes to complete 2 problems, then it takes her 1.5 minutes to complete one problem (3/2 = 1.5).
2. Next, we can use this information to find out how long it will take her to complete 12 problems. Since she can complete one problem in 1.5 minutes, we can multiply 1.5 by 12 to get the total amount of time it will take her to complete all 12 problems. 1.5 x 12 = 18
3. Therefore, it will take Izzy 18 minutes to complete 12 math problems.
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Calculate The Taylor Polynomials T2 And T3 Centered At A=0 For The Function F(X)=16tan(X). (Use Symbolic Notation And Fractions
Given function f(x) = 16tan(x).We have to calculate the Taylor polynomials T2 and T3 centered at a = 0.Step 1:
Calculate the first four derivatives of \(f(x).f(x) = 16tan(x)f'(x) = 16sec²(x)f''(x) = 32sec²(x)tan(x)f'''(x) = 32sec²(x) + 64sec⁴(x)tan²(x)f''''(x) = 192sec²(x)tan(x) + 256sec⁶(x)tan³(x).\)
Calculate the Taylor polynomials T2.Taylor polynomial T2 is:
\(T2(x) = f(0) + f'(0)x + (f''(0)/2!)x²T2(x) = f(0) + f'(0)x + (f''(0)/2!)x²T2(x) = 0 + 16x + (32/2)x²T2(x) = 16x + 16x²\)Step 3: Calculate the Taylor polynomials T3.Taylor polynomial T3 is:
\(T3(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³T3(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³T3(x) = 0 + 16x + (32/2)x² + (96/6)x³T3(x) = 16x + 16x² + 16x³.\)
We have calculated Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = 16tan(x).
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given a set of n 1 positive integers none of which sxceed 2n show that there is at lerast one integer in the set that divides another integers
Using the Pigeonhole Principle, it can be shown that in a set of n positive integers, none exceeding 2n, there is at least one integer that divides another integer.
We can prove this statement by contradiction using the Pigeonhole Principle.
Suppose we have a set of n positive integers, none of which exceed 2n, and assume that no integer in the set divides another integer.
Consider the prime factorization of each integer in the set. Since each integer is at most 2n, the largest prime factor in the prime factorization of any integer is at most 2n.
Now, let's consider the possible prime factors of the integers in the set. There are only n possible prime factors, namely 2, 3, 5, ..., and 2n (the largest prime factor).
By the Pigeonhole Principle, if we have n+1 distinct integers, and we distribute them into n pigeonholes (corresponding to the n possible prime factors), at least two integers must share the same pigeonhole (prime factor).
This means that there exist two integers in the set with the same prime factor. Let's call these integers a and b, where a ≠ b. Since they have the same prime factor, one integer must divide the other.
This contradicts our initial assumption that no integer in the set divides another integer.
Therefore, our assumption must be false, and there must be at least one integer in the set that divides another integer.
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according to national standards, under what circumstances may a pool house be included in total square footage?
It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total area square footage.
According to national standards, a pool house may be included in total square footage if it meets certain criteria. Firstly, the pool house must have a permanent foundation and be heated and cooled to the same extent as the main house.
Additionally, the pool house must have finished living space that is connected to the main house by a covered walkway or enclosed breezeway. This living space may include a bathroom, bedroom, or kitchen.
However, it is important to note that some appraisers and real estate agents may not include the pool house in the total square footage if it is not considered "livable space" or if it is primarily used for storage or pool equipment. Ultimately, the decision to include the pool house in total square footage may vary depending on local real estate practices and regulations.
It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total square footage.
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actually never mind i dont need help on this
SA
3)
Which expression is equivalent to (5-2)5 x 5¹ ?
A
512
B 57
C
1
5.40
Answer:
I'm not sure if i'm doing this right, but I got 75
Step-by-step explanation:
(5-2)5*5^1 = 75
Use the drawing tool(s) to form the correct answer on the provided number line.
A company manufactures rectangular cardboard boxes. Each box is 20 Inches long and 15 Inches wide. The heights of the boxes range from
4 to 6 inches.
Plot the range of possible values for the volume of the boxes.
Answer: 1,200 and 1,800
Step-by-step explanation: saw it some where
Started at –20° and changed 0° whats is the slope
Answer:
See below
Step-by-step explanation:
Start out -20 and change 0° ?
then there is zero slope as this would be a horizontal line.
find the domain of the function. f(x)=√(7 x)/(-4 3x) write your answer as an interval or union of intervals.
The domain of the given function f(x) is = [-7,∞)∩(R-{3/4}).
The domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables. The domain is indicated by the fact that the fraction's denominator is not equal to zero and by the fact that the digit under the square root bracket is positive. (For a function that has fractional values.)
The domain of the function. f(x)=√(7 +x)/(-4 +3x)
\(f(x)=\frac{\sqrt{(7+x)}}{(-4+3x)}\)
The domain of \(\sqrt{7+x}\) is [-7,∞)
and the domain of -4+3x is R-{4/3}
the domain of the given function f(x) is = [-7,∞)∩(R-{3/4})
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you have a drawer that has an infinite number of gloves, what is the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves?
The expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves is n.
To find the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves we can use the principle of geometric distribution. The geometric distribution is a probability distribution that represents the number of trials required to obtain the first success in repeated Bernoulli trials where each trial has a constant probability of success.To find the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves we have to first determine the probability of finding the first glove. Since the drawer has an infinite number of gloves, the probability of finding a left glove or a right glove is 1/2. Thus, the probability of finding the first glove is 1. Now, we have to find the probability of finding the matching glove of the first glove. The probability of this is 1/n, where n is the total number of gloves in the drawer. Thus, the probability of finding both the left glove and the right glove is given by the product of the probability of finding the first glove and the probability of finding the matching glove. This is given by 1 x 1/n or 1/n. Therefore, the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves is given by the formula E(X) = 1/p, where p is the probability of finding both the left glove and the right glove. Thus, E(X) = 1/(1/n) = n.
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George is going on holiday to Poland George changes £120 into Zloty. The exchange rate is £1 = 5 Zloty Work out how many Zloty George gets for £120.Required to answer. Single line text.
help please
Answer:
George gets 600 Zloty in return of £120
PLEASE HELP ASAP!!!!!! WITH EXPLANATION >:(
Answer:
D. 7.00 < 210.00; h < 30; 30 hours
Step-by-step explanation:
He needs to do 30 hours because:
7.00 < 210$; representing h < = 30; and then you would equal 30 hours
Definitely not A or B because that would represent a fraction which we don’t want
C, also would not work because it would be the opposite.
( I am not stealing points. )
The absolute maximum value of f(x) = x 3 − 3x 2 12 on the closed interval [−2, 4] occurs at what value(s) of x?.
The Answer is 4
3x^2 - 6x
3x(x-2)
x=0 , x=2
f(-2) = -8
f(0) =12
f(4)=
at x= 4 The absolute maximum value of f(x) = x 3 − 3x 2 12 on the closed interval [−2, 4] occurs.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given a function f(x) = x³ − 3x² + 12
For the maxima we will calculate d(f(x)/dx = 0
d(f(x)/dx = 3x² - 6x
d(f(x)/dx = 3x² - 6x = 0
x = 0, 2
So now we have four critical points where the function can give maximum value in the interval [-2, 4]
At x = -2
f(x) = -2³ − 3*-2² + 12
f(-2) = -8
At x = 0
f(0) = 0³ − 3*0² + 12
f(0) = 12
At x = 2
F(2) = 2³ − 3*2² + 12
f(2) = 8
At x = 4
f(4) = 4³ − 34² + 12
f(4) = 28
therefore, The absolute maximum value of f(x) = x 3 − 3x 2 12 on the closed interval [−2, 4] occurs at x=4.
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