if there consecutive terms of an AP are k+2 ,4k -6 and 3k-2 . What is the value of k
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Explanation:
A = first term = k+2B = second term = 4k-6C = third term = 3k-2To go from the first term to the second term, we add on some common difference d.
So,
B = A+d
B = (k+2)+d
4k-6 = k+2+d
4k-6-k-2 = d
d = 3k-8
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Similarly, to go from the second term to the third term, we also add on d
C = B+d
C = (4k-6)+d
C = (4k-6)+(3k-8)
C = 7k-14
3k-2 = 7k-14
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Let's solve for k
3k-2 = 7k-14
-2+14 = 7k-3k
12 = 4k
4k = 12
k = 12/4
k = 3 is the final answer
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If k = 3, then we have these three terms:
A = k+2 = 3+2 = 5B = 4k-6 = 4(3)-6 = 6C = 3k-2 = 3(3)-2 = 7The arithmetic progression (AP) is 5, 6, 7. The common difference is d = 1.
Note how d = 3k-8 = 3(3)-8 = 1
mean absolute deviation) is 0.4.
Select the statement that is true.
A. The mean of this sample is likely to be the same as the mean number of hours of sleep per night of all students
in the school
B. A random sample of 50 students would likely provide a more accurate estimate of the mean number of hours of
sleep per night
C. Another random sample of 25 students is likely to have a mean between 70 and 7 8.
Answer:
a
Step-by-step explanation:
is a because is 0.4 and is absolute deviation
If you subtract 13 from an even number, the answer will be odd.
A. True
B. False
Answer:
A. True
Step-by-step explanation:
Even numbers are divisible by 2 with no remainder. 13/2 = 6.5 so yes.
Choose the symbol that correctly compares the fractions below. 1/6 ? 4/5
A. =
B. >
C. <
Answer:
The value of 1/6 is less than the value of4\5.
So, the answer is < .
Choose the symbol that correctly compares the fractions below.
1/6 ? 4/5[tex]{ \bf{ \underbrace{Answer}}}[/tex]
C. < ✅Step-by-step explanation:-
[tex] \frac{1}{6} < \frac{4}{5} \\ 0.1667 \: < \: 0.8[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
What is the relation between confidence level (c) and significance level (a)?
Answer:
The confidence level is equivalent to 1 – the alpha level. So, if your significance level is 0.05, the corresponding confidence level is 95%. If the P value is less than your significance (alpha) level, the hypothesis test is statistically significant.
Answer:
The confidence level is equivalent to 1 – the alpha level. So, if your significance level is 0.05, the corresponding confidence level is 95%. If the P value is less than your significance (alpha) level, the hypothesis test is statistically significant.
Step-by-step explanation:
Solve for the value of X. Round to the nearest whole number.
Answer:
x = 30º
Step-by-step explanation:
This answer requires trigonometry, specifically, the cosine function. This is because we are given the length of the side adjacent to x and the length of the hypotenuse.
If you recall:
[tex]cos(x )= \frac{adjacent}{hypotenuse}[/tex]
Therefore,
[tex]cos(x) = \frac{13}{35}[/tex]
Now, we must use the inverse cosine function on a calculator to figure out the value of x.
[tex]cos^{-1}(\frac{13}{15}) = 29.93[/tex]
Now, we must round it to the nearest whole number, so x = 30º.
What is the distance between Orleans and Nantes?
What is the distance from Angers to Rouen?
Miles...
Answer:or leans to Nantes is 210 miles and angers to Rouen is 185 miles
Step-by-step explanation: I need one more brainliest to get next rank I’d appreciate it
Which of these points is on circle with a center at (0, 0) that includes the point (-1, -3)?
¿Cuál de los siguientes puntos está en el círculo con centro en (0,0) y incluye el punto (-1.-3)?
A. (0, 10)
B. (10, 10)
C (V10,0)
D(V10,10
Answer:(0,10)
Step-by-step explanation:
The points On circle with a center at (0, 0) that includes the point (-1, -3) would be (0, 10).
What is the equation of the circle with radius r units, centered at (x,y) ?If a circle O has a radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
We have given On circle with a center at (0, 0) that includes the point (-1, -3).
So the equation form
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
[tex](x-0)^2 + (y-0)^2 = r^2\\\\x^{2} +y^{2} =r^{2} \\\\(-1)^{2} +(-3)^{2} =r^{2} \\\\r^{2} = 10[/tex]
So, the other point that satisfies the equation would be (0, 10).
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A cylindrical shoe polish tin is 10cm in diameter and 3.5cm deep
calculate the capacity of the tin in cm^3
Answer: 274.75
Step-by-step explanation:
To find the volume of a cylinder you find the area of the base and then multiply it by the height. The base is the radius (half the diameter) squared times pi which we will use 3.14. That gets us 78.5. Then we multiply by the height to get 274.75!
Hope this helps!
The capacity/volume of the cylinder is approximately: 274.89 cm³
What is the Capacity of a Cylinder?capacity of a cylinder = volume of cylinder = πr²h.
Given the following:
Radius (r) = 10/2 = 5 cmHeight (h) = 3.5 cmCapacity/Volume of the cylinder = π(5²)(3.5)
Capacity/Volume of the cylinder ≈ 274.89 cm³
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Can someone please help me with this fast?
Answer:
If C and D are supplementary angles then C is 65 and D is 115.
Answer:
65
Step-by-step explanation:
first, find x
180=12x-7+16x+19
180=12x+16x-7+19
180+7-19=28x
168=28x
168/28=x
6=x
Now plug in 6 for x
C=12x-7
C=12*6-7
C=72-7
C=65
Please solve thank you
Answer:
you multiply
Step-by-step explanation: itss easy just multiply it
Please Help uwu
Let f(x) = 4 - x^2 and g(x) = 2 - x. Find(f - g)(x)
Answer:
-x^2 +x +2
Step-by-step explanation:
f(x) = 4 - x^2 and g(x) = 2 - x
(f - g)(x) = 4 -x^2 - (2-x)
= 4 -x^2 - 2+x
= -x^2 +x +2
simplify the expression
11 letters to friends each month for x months in a row. write an expression to show the total number of letters written.
Answer:
11x
Step-by-step explanation:
Each month, 11 letters are written over the course of x months, to find the total, we need to multiply the two:
11 * x
11x
What is the approximate volume of the composite figure 3cm radius with 14cm height? Use 22/7 for π. Round to the nearest hundredth.
Answer:
188.57 cm^3
Step-by-step explanation:
I know i'm big brain
Are the lines parallel?
Can someone please help?
Answer:
The last one: 25%
Step-by-step explanation:
Answer:
25% because 25 is 1/4 of 100
Step-by-step explanation:
A hotel has 480 rooms. Of these rooms,
are non-smoking. How many rooms are smoking?
Answer:
The number of smoking rooms [tex]N_s = \frac{480(100-x)}{100}[/tex], in which x is the percentage of non-smoking rooms.
Step-by-step explanation:
We are given a percentage of rooms that are non smoking, lets say x%, and (100-x)% will be smoking rooms. The number of rooms which are smoking is the total number of 480, multiplied by (100-x) and divided by 100.
Then:
[tex]N_s = \frac{480(100-x)}{100}[/tex]
What is the equation of the line that passes through the points given in the table
Answer:
B: y = -2x + 5
Step-by-step explanation:
-2 - 1 = -3
9 - 3 = 6
[tex]\frac{6}{-3}[/tex] = -2
gradient = -2
3 = 1 x -2 + c
3 = -2 + c
5 = c
y intercept = 5
equation = y = -2x + 5
so the answer is option b
Which expression is equal to 5÷8
Answer:
-3
Step-by-step explanation:
the question really doesnt make sense
what is the sum in the simplest from , 4 1/2 + 1 3/5
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
61 / 10
Decimal Form:
6.1
Mixed Number Form:
6 1/10
The question is in the picture. (Alegbra 1)
OPTION D = 2q is right answer
SOMEONE HELP IM STUCK LOL
9514 1404 393
Answer:
C. ΔABE≅ΔDBC by SAS
Step-by-step explanation:
Only two sides are marked as congruent. So, any claim using SSS is automatically false. (SSS requires 3 corresponding sides be congruent.)
Of the claims citing SAS, the one regarding ΔABD is false. The points A, B, and D are on the same line, so do not form a triangle.
The only correct claim is that of C: ΔABE≅ΔDBC by SAS
Please answer this question for me!!!!!!
Which choice is equivalent to the product below when x is greater than or equal to 0
Answer: I believe it is C.
Step-by-step explanation: Because if you take 4 x 20 = 80
If I am wrong sorry.
A bag with 6 marbles is shown below. (3 marbles are red, 1 is yellow, and 2 are blue.) A marble is chosen from the bag at random. What is the
probability that it is red?
Write your answer as a fraction or a whole number.
Answer:The answer is 1/2 or you can do 3/6 if it doesnt need to be simplified
Step-by-step explanation:
Probability is the chance of an event to occur from a number of possible outcomes.
The probability that a marble chosen at random is red is 1/2.
What is probability?It is the chance of an event to occur from a number of possible outcomes.
It is given by:
Probability = Number of required events / Total number of outcomes
We have,
Total number of marbles in the bag = 6
Number of red marbles = 3
Number of yellow marbles = 1
The number of blue marbles = 2
The probability that a marble chooses is red:
= Number of red marbles / total number of marbles
= 3 / 6
= 1 / 2
Thus,
The probability that a marble chosen at random is red is 1/2.
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HELP NEEDED!!! QUICK QUESTION
Answer:
A) q>0
Step-by-step explanation:
_______________
Anna has 85 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many pennies as dimes, how many pennies are in her piggy bank?
Help Pls:)
Answer:
17 Dimes 68 Pennies
Step-by-step explanation:
If I'm right could I get brainiest I need it for my rank
What is the y-intercept of y = -3 - 7x?
Answer:
make x=0 then y=-3-7(0)= (0 -3)
Answer:
y=-3
Step-by-step explanation:
see steps below:)
John runs a computer software store. Yesterday he counted 135 people who walked by the store, 58 of whom came into the store. Of the 58, only 21 bought something in the store. (Round your answers to two decimal places.)
Answer:
my name is Thor the answer is false mark me in arsenal