To find the center of the circle, we need to find the midpoint of the diameter segment CD.
Using the midpoint formula, we can find the coordinates of the midpoint M:
Midpoint formula:
M = ( (x1 + x2)/2 , (y1 + y2)/2 )
Plugging in the coordinates of C (-3,5) and D (6,-2):
M = ( (-3 + 6)/2 , (5 - 2)/2 )
M = (1.5, 1.5)
Therefore, the center of the circle is at point M with coordinates (1.5, 1.5).
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plssss will give brainliest, 5 stars, and thx
Answer:
3,400 g
Step-by-step explanation:
Answer:
3,400 g
Step-by-step explanation:
12 + 000
12 kg = 12,000 g
12,000 g - 8,600 g = 3400 g
Can you please help?
Answer:
Your answer is D
Step-by-step explanation:
45 divided by 5 equals 9
Answer:
easy 45 dived by 9 is 5
Step-by-step explanation:
hope it helps
3×1/10 plz help me get it right
Answer:
I think that is 0.3
Step-by-step explanation:
3×1=3
3÷10=0.3
Statement I is false because the study has volunteers, which is not a random selection of the population. We cannot generalize the results to the population of all people with a moderate case of the disease.
The statement is partially correct. because, If the study used volunteers who self-selected to participate, then it may not be a representative sample of the entire population with a moderate case of the disease, and therefore the results may not be generalizable to the population.
However, it is important to note that not all studies need to use random sampling in order to draw meaningful conclusions. In some cases, non-random samples may still provide valuable insights into the topic of interest.
In any case, if the study did use volunteers who self-selected to participate, it is important for the researchers to acknowledge this limitation in their conclusions and to avoid overgeneralizing the findings beyond the sample they studied.
The statement is partially correct. because, If the study used volunteers who self-selected to participate, then it may not be a representative sample of the entire population with a moderate case of the disease, and therefore the results may not be generalizable to the population.
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find the order of the matrix product ab and the product ba, whenever the products exist. a is 4 x 2, b is 2 x 4.A) AB is 2 x 2, BA is 4 x 4. B) AB is nonexistent, BA is 2x2. C) AB is 4 x 4, BA is nonexistent. D) AB is 4 x 4, BA is 2 x 2
The correct answer is (D) AB is 4 x 4, BA is 2 x 2.
What is order of a matrix?
The order of a matrix refers to the number of rows and columns in the matrix. If a matrix has m rows and n columns, we say that it is an m x n matrix. The order of the matrix is written as "m x n".
In general, if A is an m x n matrix and B is an n x p matrix, then the product AB is an m x p matrix and the product BA is an n x n matrix.
In this case, A is a 4 x 2 matrix and B is a 2 x 4 matrix. Therefore, the product AB is a 4 x 4 matrix, and the product BA is a 2 x 2 matrix.
So the answer is (D) AB is 4 x 4, BA is 2 x 2.
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Which of the following is a rational number
answer:
a. √36
step-by-step explanation:
a rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions√36 = rational — the answer to this is 6 and it is a whole number
-√12 = -3.46410161514... — it is repeating without an order so irrational
5/0 = irrational — the denominator cannot be a 0
π = irrational — pi is always irrational
On the math exam,5 tasks were given. 25% of students solved at least two tasks. Prove that there was at least one task that no more than 12 students solved if 32 students wrote that test
Given that 25% of students solved at least two tasks and there were 32 students who wrote the test, we can prove that there was at least one task that no more than 12 students solved.
There was at least one task that no more than 12 students solved, we can use a proof by contradiction.
Assume that all five tasks were solved by more than 12 students. This means that for each task, there were at least 13 students who solved it. Since there are five tasks in total, this implies that there were at least 5 * 13 = 65 students who solved the tasks.
However, we are given that only 25% of students solved at least two tasks. If we let the number of students who solved at least two tasks be S, then we can write the equation:
S = 0.25 * 32
Simplifying, we find that S = 8.
Now, let's consider the remaining students who did not solve at least two tasks. The maximum number of students who did not solve at least two tasks is 32 - S = 32 - 8 = 24.
If all five tasks were solved by more than 12 students, then the total number of students who solved the tasks would be at least 65. However, the maximum number of students who could have solved the tasks is 8 (those who solved at least two tasks) + 24 (those who did not solve at least two tasks) = 32.
This contradiction shows that our initial assumption is false. Therefore, there must be at least one task that no more than 12 students solved.
Hence, we have proven that there was at least one task that no more than 12 students solved if 32 students wrote the test.
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A total of 100 students were surveyed
and asked which color they would like in
the school flag.
5 checked only green.
8 checked only red.
12 checked only blue.
19 checked red and green.
22 checked blue and green.
13 checked red and blue.
How many checked all 3 colors?
Collins was 7 years 3 months old when he joined school. Today he is 13 years and 2 months. For how long has he been in school?
Answer:
He is about 6 years old (5 years 11 months)
Step-by-step explanation:
13 - 7 and 3 - 2
Elizabeth has 214 gallons of milk in her refrigerator, and she drinks 23 of the quantity. How much milk does Elizabeth drink?
Answer:
9 days
Step-by-step explanation:
We know
Elizabeth has 214 gallons of milk; she drinks 23 of the quantity each day.
We take
214 / 23 = 9 days
So, she can drink in 9 days
Jason solved the percent problem below and got
X=133%. Did he do it correctly? Explain your reasoning.
Answer:
No is incorrect 4/27 is right
Step-by-step explanation:
The sum of three consecutive numbers is 117.what is the largest of the three numbers?write an equation to represent this scenario and solve for the variable
Answer:rrrrrrrr
rrrrrrrrrr
Step-by-step explanation:
rrrrrrrrrrrrrrr
The equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let x be the first number:
The other numbers are:
x+1, x+2
The sum of three consecutive numbers is 117:
x + x+1 + x+2 = 117
3x + 3 = 117
3x = 114
x = 38
x+ 1 = 38+1 = 39
x+2 = 38+2 = 40
Thus, the equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.
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Graph the difference between (4.5, -1.5) and (4.5, 7.25)
Answer:
The difference is 8.75
Step-by-step explanation:
Plot the points or 7.25+1.5=8.75
Divide using long division. Check your answers. (x³+3 x² -x+2) / (x-1) .
In long division, we divide the first term of the dividend by the divisor. Here, (x³ ÷ x) = x². We write x² on the top of the line. Then, we multiply the divisor by the quotient.
We have used long division method to divide the given polynomial (x³ + 3x² - x + 2) by the polynomial (x - 1).
We divided x³ by x to get x² as the quotient and multiplied (x - 1) by x² to get x³ - x².
Then, we subtracted x³ - x² from x³ + 3x² to get 4x² - x.
We divided 4x² by x to get 4x as the quotient and multiplied (x - 1) by 4x to get 4x² - 4x.
Then, we subtracted 4x² - 4x from 4x² - x to get -x² + 4x.
We divided -x² by x to get -x as the quotient and multiplied (x - 1) by -x to get -x² + x.
Then, we subtracted -x² + x from -x² + 4x to get 5x.
Finally, we divided 5x by (x - 1) to get 5 as the quotient with no remainder.
Therefore, the solution of the given division problem is x² + 4x + 3.
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I’ll give brainliest :)!
Answer:
-13
Step-by-step explanation:
g(1) = -5*1 = -5
f(g(1)) = f(-5) = 2*(-5) - 3 = -10-3 = -13
Guys, I’m back from nearly a year later went on hiatus on The Brainly because of myself as an anxiety and a very stressful year with A.D.H.D., and I really need help from my own schoolwork from my own school about, “A Perimeter Of The Composite Figures” with only 2 more perimeter questions left to go as soon as possible before it’s too late, please! :O
Please read it as soon as possible before answering to 2 of my own perimeter questions and thank you guys. :)
There’s only 55 points for you to answer to my own 2 of my own perimeter questions, guys! :D
Well good luck, guys! :D
Answer:
2. 26.2 m
3. 117.2 cm
Step-by-step explanation:
You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.
2. Semicircular archThe circumference of a circle is given by ...
C = πd . . . . . where d is the diameter
The length of the semicircle of diameter 12.6 m will be ...
1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m
The two lighted sides of the rectangle have a total length of ...
3.2 m + 3.2 m = 6.4 m
The length of the light string is the sum of these values:
19.8 m + 6.4 m = 26.2 m
The length of the string of lights is about 26.2 meters.
3. Fan shapeThe perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.
Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:
C = 2πr
C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm
The four straight sides total ...
4 × 11.4 cm = 45.6 cm
The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:
71.6 cm + 45.6 cm = 117.2 cm
The design has a perimeter of about 117.2 cm.
__
Additional comment
The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.
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Solve 6 - 2x = 3
How do I do this?
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
6 - 2x = 3
(You have to subtract 6 on both sides so it can cancel out)
6 - 6 - 2x = 3 - 6
-2x = -3
(Now, you divide -2 on both sides to isolate the x)
-2/(-2)x = -3/(-2)
x = 3/2
A fair number cube, with numbers 1 through 6, was rolled 200 times. The number 5 was rolled 34 times. If the number cube was rolled 300 times, approximately how many times should you expect the number 5 be rolled? OA) 9 OB) 15 OC) 51 OD) 135
The answer is OC) 51 using the principle of probability.
To determine the approximate number of times the number 5 should be rolled when the cube is rolled 300 times, use the concept of proportion.
(Number of times 5 was rolled) / (Total number of rolls) = (Expected number of times 5 will be rolled) / (Total number of rolls)
Using the given data:
34 / 200 = x / 300
To find the value of x, we can cross-multiply and solve for it:
34 * 300 = 200 * x
10200 = 200x
Dividing both sides of the equation by 200:
10200 / 200 = x
51 = x
Therefore, based on the proportion, the approximate number of times you should expect the number 5 to be rolled when the cube is rolled 300 times is 51.
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If the equation of AC is y=2x-1
Calculate the coordinates of T
(1/2, 0) are the coordinates of point T
To find the coordinates of point T, we need to determine where the line y = 2x - 1 intersects with the x-axis.
The x-axis is represented by y = 0 since the y-coordinate is zero on the x-axis.
To find the x-coordinate of point T, we substitute y = 0 into the equation y = 2x - 1 and solve for x:
0 = 2x - 1
Adding 1 to both sides, we get:
1 = 2x
Dividing both sides by 2, we find:
x = 1/2
So, the x-coordinate of point T is 1/2.
To find the y-coordinate of point T, we substitute the x-coordinate (1/2) into the equation y = 2x - 1:
y = 2(1/2) - 1
Simplifying, we have:
y = 1 - 1
y = 0
Therefore, the coordinates of point T are (1/2, 0).
Point T is the point of intersection between the line y = 2x - 1 and the x-axis. It represents the x-value where the line crosses the x-axis, and since the y-coordinate is 0, it lies on the x-axis. The x-coordinate of T is 1/2, indicating that it is located halfway between the y-axis and the line y = 2x - 1.
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The perimeter of a square patio is (8x - 28). What is the length of one side?
Answer:
Length is 7, Permimeter is 28
Step-by-step explanation:
Perimeter=4×side
(8x-28)=4×x [let length be x]
8x-28=4x
8x-4x=28
4x=28
x=28÷4
x=7
Length = x = 7
Perimeter=(8x-28)
=(7×8)-28
=56-28
=28
pls help me ASAP
show all solutions
Answer:
Hello,
Step-by-step explanation:
I can only explain in mathematics not in English (i am French).
c: number of customers
n: number of good reviews
k: factor of proportionality
1)
p=k*c*n
15000=k*75*100 ==> k=2
if c=250 and n=150 then p=2*250*150=75000
2)
A=b*a/2 since b= 9 and a=4 then 9*4/2=18 (cm²)
A=4*7/2=14 (cm²)
A metal products company is coating
the outside of the special
microwaveable box shown. Find the
area that needs to be coated,
13 in.
3 in.
9 in.
a
ОО
249 square inches
366 square inches
483 square inches
132 square inches
C
Od
Answer:
Step-by-step explanation: Can someone tell me pls
Million dollar bussyy jk help
Answer:
2. 2
3. 4
4. 3/4
5. 5/12
6. 6
7. 1/2
In exercises 17-20, find a vector with the given magnitude and in the same direction as the given vector. 17. Magnitude 6, v = (2,2,-1) 18. Magnitude 10, v = (3,0,-4) 19. Magnitude 4, v=2i-j+3k 20. Magnitude 3, v=3i+3j-k In exercises
A vector with magnitude 6 and in the same direction as v = (2, 2, -1) is (4, 4, -2). A vector with magnitude 10 and in the same direction as v = (3, 0, -4) is (6, 0, -8).
To find a vector with the same direction but a different magnitude, we can scale the components of the given vector. The scaling factor can be determined by dividing the desired magnitude by the magnitude of the given vector. In this case, the magnitude of v is √(2² + 2² + (-1)²) = √9 = 3. Therefore, the scaling factor is 6/3 = 2.
Multiplying each component of v by 2 gives us (2 * 2, 2 * 2, -1 * 2) = (4, 4, -2), which has the same direction as v but with a magnitude of 6.
Similarly, we can determine the scaling factor by dividing the desired magnitude (10) by the magnitude of v, which is √(3² + 0² + (-4)²) = √25 = 5. The scaling factor is then 10/5 = 2.
Scaling each component of v by 2 results in (3 * 2, 0 * 2, -4 * 2) = (6, 0, -8), which has the same direction as v but with a magnitude of 10.
In both cases, to obtain a vector with the desired magnitude and the same direction as the given vector, we scaled each component of the given vector by the appropriate factor.
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fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
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I WILL MARK BRAINLIEST!
Answer:
1.true
2.false
3.false
4.true
5.true
6.false
Step-by-step explanation:
just graph it and look at it
help me please help huhu
Answer:
(1) p(x) = 7x³ + 4x² + 6 - 9x⁴
Standard Form: - 9x⁴ + 7x³ + 4x² + 6Degree: 4Leading Coefficient: -9Leading Term: -9x⁴(2) p(x) = 1 + 3x - 9x⁵
Standard Form: -9x⁵ +3x + 1Degree: 5Leading Coefficient: -9Leading Term: - -9x⁵(3) y = 9x² - x³ + x⁹
Standard Form: x⁹ - x³ + 9x²Degree: 9Leading Coefficient: 1 (x⁹ = 1x⁹)Leading Term: x⁹(4) f(x) = (x +3)(x-2)(x+5)
Standard Form: x³ + 6x² - x - 30Degree: 3Leading Coefficient: 1Leading Term: x³Step-by-step explanation:
Standard form has terms arranged from the highest to the lowest power
Degree is the highest power
Leading coefficient is the coefficient of the highest term
Leading term is the term containing the highest power
(x + 3) (x - 2)(x + 5)
(x + 3) (x - 2) = x² + x - 6 using the FOIL method
(x² + x - 6)(x +5) = x³ + 6x² -x - 30
Step-by-step explanation:
come on, we explained this already in previous questions. if you understood the explanations there, you should have been able to some that here without any problems.
again, standard form is the sorted polynomial from highest variable exponent to the lowest (as the potential constant at the end represents the x⁰ term).
the leading term is the first term on the left (with the highest exponent).
the leading coefficient is the factor in this leading term.
degree is the highest exponent used in the polynomial (again, given by the leading term).
so, what is still the problem ?
i have a slight problem with your handwriting. it is unclear, if there is 7x³ or 17x³. or 13x or 3x.
1.
p(x) = 17x³ + 4x² + 6 - 9x⁴
now, just sort this from the highest to the lowest exponent.
p(x) = -9x⁴ + 17x³ + 4x² + 6
if it should be 7x³ instead of 17x³, please use 7x³ in the polynomial.
degree = 4
leading coefficient = -9
leading term = -9x⁴
2.
p(x) = 1 + 13x - 9x⁵
again sort from highest to lowest exponent
p(x) = -9x⁵ + 13x + 1
again, if it should be 3x instead of 13x, please use 3x in the polynomial.
degree = 5
leading coefficient = -9
leading term = -9x⁵
3.
y = 9x² - x⁵ + x⁹
remember, y = f(x)
that is the same thing, means the same thing. it just gives the result variable a specific name.
again sort by exponent.
y = f(x) or p(x) or ... = x⁹ - x⁵ + 9x²
degree = 9
leading coefficient = 1
leading term = x⁹
4.
f(x) = (x+3)(x-2)(x+5)
this is really like the other question I just answered.
so, we always multiply 2 terms. that result we multiply by the third term. and if they're are more, then that result with the fourth term, and that with the 5th term,...
I usually start at the left :
(x+3)(x-2) = x² - 2x + 3x - 6 = x² + x - 6
now
(x² + x - 6)((x+5) = x³ + 5x² + x² + 5x - 6x - 30 =
= x³ + 6x² - x - 30
so,
f(x) = x³ + 6x² - x - 30
degree = 3
leading coefficient = 1
leading term = x³
HELP FAST. I WILL GIVE BRAINLIEST
Carl's new truck is advertised to get 5.7 more miles per gallon on the highway than it does in the city. If he averages 28.2 miles per gallon on the highway, how many miles per gallon does he get in the city?
22.5 miles per gallon
22.5 miles per gallon
160.74 miles per gallon
160.74 miles per gallon
33.9 miles per gallon
33.9 miles per gallon
23.5 miles per gallon
Answer:
22.5 miles per gallon
Step-by-step explanation:
It says 5.7 more miles per gallon, so subtract 5.7 (bonus gallons for driving in highway) from 28.2 miles per gallon & you get 22.5 miles per gallon. Hope this helped...
Answer:
the answer is 22.5
Step-by-step explanation:
28.2 - 5.7 = 22.5
What percent of 24 seconds to 4 hours?
Also can you add them label it would help a lot.
:)
24 seconds is approximately 0.17% of 4 hours. The percentage of 24 seconds to 4 hours, we can start by converting both values to the same units.
To find the percentage of 24 seconds to 4 hours, we can start by converting both values to the same units. One hour is equal to 3600 seconds, so 4 hours is equal to:
4 hours * 3600 seconds/hour = 14,400 seconds
Now we can express the ratio of 24 seconds to 14,400 seconds as a fraction and convert it to a percentage:
(24 seconds / 14,400 seconds) * 100% ≈ 0.17%
Therefore, 24 seconds is approximately 0.17% of 4 hours.
Here's how you could label the calculation:
24 seconds is what percent of 4 hours?
24 seconds / 14,400 seconds = 0.00167 or 0.167%
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What point on the number line is one-fifth of the way from the point −9 to the point 17?
a. −3.8 b. −1.1 c. 1.6
d. 11.8
The point that is one-fifth of the way from -9 to 17 on the number line is -3.8. (option a).
To find the point that is one-fifth of the way from -9 to 17 on the number line, we need to determine the distance between -9 and 17 and then divide it by 5.
First, let's calculate the distance between -9 and 17 on the number line. We do this by subtracting the smaller value (-9) from the larger value (17):
Distance = 17 - (-9)
= 17 + 9
= 26
So, the distance between -9 and 17 on the number line is 26 units.
Now, we need to find one-fifth of this distance. To do that, we divide the distance by 5:
One-fifth of the distance = 26 / 5
= 5.2
Therefore, one-fifth of the way from -9 to 17 is located at a point that is 5.2 units away from -9.
To determine the exact location on the number line, we add this distance to -9:
Location = -9 + 5.2
= -3.8
Therefore, the correct answer is option a. -3.8.
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