Answer:
(x + 4)² + (y - 9)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 4, 9) and r = 10 ÷ 2 = 5 , thus
(x - (- 4))² + (y - 9)² = 5² , that is
(x + 4)² + (y - 9)² = 25 ← equation of circle
PLEASE HELP (picture provided)
Answer:
Step-by-step explanation:
its the next one down
what is half way between 18x28 and 22x28
Answer: 160
Step-by-step explanation:
first workout the multiplication sums [22 x 28 = 616]
[18 x 28 = 505] then add 2 numbers together [616 + 505 = 1120]
then divide the answer by 2 [1160 / 2 = 160
consider an interval from 0 to 1 with ten uniformly distributed points in it. what is the distribution of the difference between the 6th and the 5th smallest point?
Answer: It has to be between 0.1 to 0.3
Step-by-step explanation:
x2 +16x – 36/x2 + 6x-16
Answer:
x^4+23x^3-16x^2-36/x^2
Step-by-step explanation:
Answer:
\(\frac{x+18}{x+8}\)
Step-by-step explanation:
Assuming you require the simplification.
Given
\(\frac{x^2+16x-36}{x^2+6x-16}\) ← factorise numerator and denominator
= \(\frac{(x+18)(x-2)}{(x+8)(x-2)}\) ← cancel the common factor (x - 2)
= \(\frac{x+18}{x+8}\)
a study of the effects of exercise used rats bred to have high or low capacity for exercise. the 8 high-capacity rats had mean blood pressure 89 mm hg and standard deviation 9 mm hg; the 8 low-capacity rats had mean blood pressure 105 mm hg with standard deviation 13 mm hg. we suspect that rats with low capacity for exercise tend to have a higher blood pressure than rats with a high capacity for exercise. to see if this is true, test these with hypotheses for the mean blood pressure of all rats with high capacity (hc) and all rats with low capacity (lc) for exercise. given this scenario, how would you specify the null and alternative hypothesis? (keep in mind the preferred alternative hypothesis for this kind of test)
The null hypothesis is that there is no significant difference between the mean blood pressure of rats with high capacity for exercise and rats with low capacity for exercise. The alternative hypothesis is that rats with low capacity for exercise tend to have a higher blood pressure than rats with high capacity for exercise.
This is the preferred alternative hypothesis for this kind of test because it is a one-tailed test with a directional hypothesis, indicating that we are specifically interested in whether the mean blood pressure of low-capacity rats is higher than that of high-capacity rats.
Therefore, the null hypothesis can be written as H0: μhc = μlc, and the alternative hypothesis can be written as Ha: μlc > μhc.
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ow many ways can you get exactly six heads and exactly six tails if after six tosses you have had three tails and three heads?
The number of possible combinations available as calculated from the given data is 259200.
Coin just has a head and a tail.
The potential configuration is (6! * 6!)/2.
Divide by two because each coin has two faces.
The potential configuration is (6! * 6!)/2.
The potential configuration is (( 720 x 720)/2
The potential configuration is 259200.
259200 different combinations are available.
By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data.
Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.
Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations can be counted in simpler situations. Combination is the taking together of n items, k at a time, without repetition.
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Charlie has 12 feet of rope. He cuts it into pieces that are each of a foot long. How many pieces of rope will he have?
Answer:
12
Step-by-step explanation:
a triangle has side length of 10 inches, 24 inches, and 26 inches. Is the triangle a right triangle?
May I please receive help
Answer:
Z would equal 29
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if you want to round a number within an arithmetic expression, which function should you use?
If you want to round a number within an arithmetic expression, you should use the ROUND function.
The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.
The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.
Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.
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what is the exact values of the following , give your answers as a fraction
A )3^-2
b)4^-3
C)2^-6
The values of the number expression as a fraction are 1/9, 1/64, and 1/64 respectively after applying the properties of the integer exponent.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The number expression:
After applying the properties of the integer exponent.
A )3⁻²
= 1/9
b)4⁻³
= 1/64
C)2⁻⁶
= 1/64
Thus, the values of the number expressed as a fraction are 1/9, 1/64, and 1/64 respectively after applying the properties of the integer exponent.
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Let P2 denote the real vector space of polynomials in x with real coefficients and degree at most 2 with the basis B = {x+7x², 2 + x, x²}
a
Set p(x) = 3x and that suppose that coordinates of p with respect to B are given by [p] = [ a
b c]
Calculate c. Answer:
To calculate the value of c in the coordinates [a, b, c] for polynomial p(x) = 3x with respect to the basis B = {x + 7x^2, 2 + x, x^2}, we need to find the representation of p(x) in terms of the basis vectors.
Let's denote the basis vectors as b1 = x + 7x^2, b2 = 2 + x, and b3 = x^2.
To express p(x) as a linear combination of the basis vectors, we set up the following equation:
p(x) = a * b1 + b * b2 + c * b3
Substituting the values of p(x) and the basis vectors, we have:
3x = a(x + 7x^2) + b(2 + x) + c(x^2)
Expanding and rearranging terms, we get:
3x = ax + 7ax^2 + 2b + bx + cx^2
Comparing the coefficients of the like terms on both sides of the equation, we can determine the values of a, b, and c.
From the coefficient of x, we have:
a + b = 3 (coefficient of x on the right-hand side)
From the coefficient of x^2, we have:
7a + c = 0 (coefficient of x^2 on the right-hand side)
From the constant term, we have:
2b = 0 (constant term on the right-hand side)
Solving these equations, we find that b = 0, a = 3, and c = -7a = -7 * 3 = -21.
Therefore, the value of c is -21.
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Solve the inequality.
6 x+9<7 x
For the given inequality 6 x+9<7 x, x is greater than 9
Inequality is the relation between two expressions linked by the arithmetic expression other than equal sign. Such as less than (<), greater than (>), less than equal to (<=) and greater than equal to (>=).
Let's solve the inequality
6 x+9<7 x
Separate the variables and constants by moving them on the same side. Such as
9<7x-6x
9<x
We want to keep the variable on the left side. Then, just interchange the positions.
x>9
Therefore, it is clear that x is greater than 9.
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Need some help? Could you please explain briefly to understand better?
Given the functions:
\(\begin{gathered} f(x)=\sqrt[]{5x+25}-1 \\ g(x)=x^2-2x-3 \end{gathered}\)Solve the equations means finding the values of x provided that f(x) = g(x)
so,
\(x^2-2x-3=\sqrt[]{5x+25}-1\)Make the square root alone on the right-side
\(\begin{gathered} x^2-2x-3+1=\sqrt[]{5x+25} \\ x^2-2x-2=\sqrt[]{5x+25} \end{gathered}\)Square both sides to eliminate the square root:
\((x^2-2x-2)^2=5x+25\)Simplifying the equation:
\(\begin{gathered} x^2(x^2-2x-2)-2x(x^2-2x-2)-2(x^2-2x-2)=5x+25 \\ x^4-2x^3-2x^2-2x^3+4x^2+4x-2x^2+4x+4=5x+25 \\ x^4-4x^3+3x-21=0 \end{gathered}\)Solve the last equation to find the values of x
We can use the calculator to find the values of x
So,
\(x=-1.66,or,x=4.12\)Rounding to the nearest tenth
So, the answer will be x = {-1.7, 4.1 }
Tina and Zion earn $38 per week for delivering newspapers. Tina worked for x weeks and earned an additional total bonus of $15. Zion worked for y weeks. Which expression shows the total money, in dollars, that Tina and Zion earned for delivering newspapers? (1 point) Question 3 options: 1) 53x + 38y 2) 38x + 15 + 38y 3) 38x − 15 + 38y 4) 38x + 53y
Answer:
it would be (38x+15)+38y
Step-by-step explanation:
x=number of weeks
38 times x=38x
53x=53 weeks
bonus of 15=38x+15
Hi again I’m so sorry if I keep posting I just need help
Answer:
244,321
Step-by-step explanation:
So its asking what number could be possible for being more then 214,626(water park) but less then 248,368(state park)
201,369 is less then the water park so that isnt it
212,729 is also less then the water park
244,321 is more then the water park but less then the state park so theis is the answer
263,023 is greater then the state park so its not the answer
I need an answer for a friend.
Answer:a) 2√3 - 2√2
h) -11√2
Step-by-step explanation:
hope this help have a good day
A regular polygon ha an interior angle of 157. 5°. Calculate the number of ide of the polygon
The total number of sides of the given polygon is 16.
What is the interior and exterior angle of a regular polygon?
In a regular polygon, all internal angles and exterior angles are equal. The formula for determining the amount of an interior angle is given:
Interior angle of a polygon = sum of interior angles/number of sides
A polygon's exterior angles add up to 360°.
Given, each interior angle of a regular polygon = 157.5°
Then, each exterior angle of a regular polygon = 180° - 157.5° = 22.5°
the sum of the exterior angles of any n-gon = 360°
So, the total number of sides = 360°/22.5° = 16 sides
Hence, the total number of sides of the polygon is 16.
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There were some people on the boat. 26 people got off the boat at the first harbor. 22 people got on the boat. Now there are 74 people on the boat.
How many people were on the boat to begin with?
Answer:
122
Step-by-step explanation:
Add all the people when they got off and left
26+74+22=122
70 points!! Please help me check if my answers are correct. Best answer will get brainliest :)
Answer: All answers are correct
Step-by-step explanation: ur really smart congrats
convert 0.25 with the 5 recurring to a fraction in its simplest form.
Answer:
Step-by-step explanation:
I'm taking this to mean
x = 0.255555555555... If this is not correct, leave a note. Multiply by 100
100 x = 25.55555555555555 ... Divide by 10
10x = 2.55555555555555 ... Subtract
90 x = 23
x = 23/90
Try putting 23/90 in your calculator. You will find it is 0.25555555... just what you were given
if you take a random sample of 25 jars, find the probability that the sample mean will be less than 9.10 ounces. after finding the appropriate probability, indicate the interval that includes the probability. group of answer choices .0000 to .0500 .3001 to .6000 .6001 to .8000 .8001 to 1.000 .0501 to .3000
The probability that the sample mean will be less than 9.10 ounces falls within the range of .0000 to .0500.
To find the probability that the sample mean will be less than 9.10 ounces, we need to use the Central Limit Theorem. Given that the sample size is large (n = 25) and assuming that the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed.
To calculate the probability, we need to standardize the sample mean using the formula z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Since the population mean and standard deviation are not provided, we cannot determine the exact probability. However, we can still indicate the interval that includes the probability.
Based on the given answer choices, the appropriate interval that includes the probability would be .0000 to .0500, as it represents the lowest range of probabilities.
In conclusion, the probability that the sample mean will be less than 9.10 ounces falls within the range of .0000 to .0500.
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Kylo and Quartez had $70 and $60 respectively at first. After Kylo spent $20 and Quartez received some money from his mother, Quartez had twice as much money as Kylo.
(a) How much did Kylo have in the end?
(b) How much did Quartez receive from his mother?
Answer:
a) $50 b) $40
Step-by-step explanation:
Kylo started with $70 and spent $20. This can be written as 70-20, which equals $50.
At the end, Quartez had double what Kylo had. This can be written as 2×50, which is $100. He started with $60, so his mother gave him 100-60 or $40.
**This content involves solving simple worded questions, which you may wish to revise. I'm always happy to help!
Kylo had in end
70-20=$50Now
let Quartz received x
2(50)=x+60x=100-60x=$40Tim is a first grader and reads 43 words per minute. Assuming he maintains the same rate, use the double number line to find how many words he can read in 5 minutes. Words 0 43 Minutes 0 1 Tim can read words in 5 minutes.
as a timeline
Answer:
all you have to do is Just divided the numbers
Step-by-step explanation:
÷
I need help asap im having a test on it
Answer:
Triangle ABC is congruent to triangle DFE.
Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
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Black Diamond Ski Resort charges $25 for ski rental and $10 an hour to ski. Bunny Hill Ski Resort charges $50 for ski rental and $5 an hour to ski. Create an equation to determine at what point the cost of both ski slopes is the same.
Answer:
25 + 10h = 50+5h
Step-by-step explanation:
Black Diamond Ski Resort
25 + 10h
Bunny Hill Ski Resort
50+5h
We want when they are equal
25 + 10h = 50+5h
Answer:
10x + 25 = 5x + 50
Step-by-step explanation:
Cuál es el poligono regular cuyo ángulo interno mide 220°?
Based on the calculation done, one can't have a negative number, thus, the regular polygon does not exist.
Which is the regular polygon with an interior angle of 220°?For a regular polygon of N sides, the measure of each interior angle is:A = (N - 2)*180/N
Here we want to have an interior angle of 220°, then we need to solve the equation:220° = (N - 2)*180/N
For N, so let's do that: N*220° = (N - 2)*180°We can see that this equation has no solution for N integer:
N*220° = N*180° - 360°N*220° - N*180° = -360°N*40° = -360°N = -360°/40° = -9
We can't have a negative number, thus, the regular polygon does not exist.
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Determine whether each vector can be written as a linear combination of vectors S 1) 8= {(2₁-1₁3), (5,0,4)} a) 2- (-1₁-2.2); c) w = (1₁-8, 12) b) v = (8,-14, 27/4) d) (1,1,-1)
We are given a set of vectors S and we need to determine whether each given vector can be written as a linear combination of the vectors in S.
(a) For vector (2, -1, -2), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (2, -1, -2). By solving the system of equations, we find that k₁ = -1 and k₂ = 0, so the vector can be written as a linear combination of the vectors in S.
(b) For vector (8, -14, 27/4), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (8, -14, 27/4). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.
(c) For vector (1, -8, 12), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, -8, 12). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.
(d) For vector (1, 1, -1), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, 1, -1). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.
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PLEASE HELP ASAP
Is the line y
6x + 6 parallel to y=-6x - 1 ?
Yes
No
Answer:
No
Step-by-step explanation: