The three consecutive terms in an AP are (k+1) ,3k and (4k+2)
We know that
If a,b,c are the three consecutive terms in an AP then b = (a+c)/2
now ,
Let a = k+1 , b = 3k and c = 4k+2
⇛3k = (k+1+4k+2)/2
⇛3k = (5k+3)/2
⇛2×3k = 5k+3
⇛6k = 5k+3
⇛ 6k-5k = 3
⇛ k = 3
The value of k = 3
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Write the missing volues to make these equivalent fractions correct.
2/3 = 4/ = /12
Answer:
2/3 = 4/6 = 8/12
Step-by-step explanation:
Find the x and y intercepts of y=-x-8
Answer:
anyone wants to have fun with indian girl ?
find the mean of 98 100 100 100 100 100
Answer:
the mean of this sequence of numbers is 99
Answer:
it is 99
Step-by-step explanation:
what is an equation of the line that passes through the points 0,-2and 0,-5
Answer:
Any equation with a slope of 3 will work. You can use any y-intercept. This equation will work: y = 3x+1
Step-by-step-explanation:
3x says that the slope is 3, and on a coordinate plane, 2 is 3 places above 5, and since the slope is 3, it will go 3 spots up, and run into (0,2)
Consider the circle centered at the origin and passing through the point (0, 2).
(a) Give the equation of the circle.
(b) For each point, decide whether or not it is on the circle. Is the point on the circle? (look at the image I attached)
Answer:
x^2+y^2=4, yes, no, yes, no
Step-by-step explanation:
a) It's centered at the origin, which means that the equation is x^2+y^2=r^2, right? Then since point (0,2) is on the circle, its radius can be solved using Pythagoras theory, r=sqrt(0^2+2^2)=2, so the equation is x^2+y^2=4.
b) You plug the points into the equation and if the equation is true, they're on the circle. I'll give you an example of the first two.
([tex]\sqrt{3},1[/tex]): so x=[tex]\sqrt{3}[/tex], y=1. When you bring that into the equation you got in (a), it would be 3+1=4, which is true, which means that the point is on the circle.
(4,0): so x=4, y=0. When you bring that into the equation you got in (a), it would be 16+0=4, which is not true, which means the point isn't on the circle.
Identify the five-number summary of the following data se
7. 11. 21. 28, 32, 33, 37, 43
Minimum value = 12
Maximum value = 37
snumber of observations = 10 (even)
Median = Mean of middle most terms
Middle most terms = 22, 25
Median ={22+25}{2}=23.5222+25=23.5
15 POINTS AND BRANLIEST
Find the area of the figures below
[tex]Area = \frac{(6 + 10) \times 7}{2} \\ [/tex]
[tex]Area = \frac{16 \times 7}{2} \\ [/tex]
[tex]Area = \frac{2 \times 8 \times 7}{2} \\ [/tex]
[tex]Area = 8 \times 7[/tex]
[tex]Area = 56 \: \: {in}^{2} [/tex]
Answer:
Area: [tex]56in^2[/tex]
Step-by-step explanation:
The formula for the area of a trapezoid is:
[tex]A = \frac{a+b}{2}h[/tex]
so replacing with the given values we get:
[tex]a = 6in\\h = 7in\\b = 10in[/tex]
[tex]A = \frac{6in+10in}{2}7in = 56in^2[/tex]
So our final answer is [tex]56in^2[/tex]
find measure of angle A
what is the slope of the line of (4,6) and (-16,-18)
Hi!
To solve this, we simply use the equation shown in the image below:
What this means is the change in y over the change in x.
We use the two points and plug them in the equation like so:
[tex]\frac{6 - - 18}{4--16} =\frac{6+18}{4+16} =\frac{24}{20} =\frac{6}{5}[/tex]
Therefore your answer is [tex]\frac{6}{5}[/tex].
Hope this helps! Have a fantastic day! :D
Let me know if you need any other help.
Which of the following equations has no solution?
3x + 1 = 3x + 1
3x+1= 3x + 2
3x+1= 2x + 1
Answer:
3x+1=3x+1
0x=0
no solution
3x+1=3x+2
0×=1
no solution
3x+1=2x+1
x=0
X IS THE SOLUTION BTW
Help help help help help help help help
Answer:
y=2
y=4
y=6
y=8
Step-by-step explanation:
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5. A spool of nbbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, how much remains on the spool? 26 fee 22 feet 20 feed 18 fed
Answer:
It is 18 feet
Step-by-step explanation:
The remaining spoon of ribbon will be; 22 feet.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that a spool of ribbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, then
WE need to find the remaining spoon of ribbon after excluding the 2 yards of ribbon.
The remaining spool can be calculated by the difference;
24 feet of ribbon - 2 yards of ribbon
24 - 2 = 22
Therefore, the remaining spoon of ribbon will be; 22 feet.
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please help i only have a few minutes!!
what are the measures of 1 and 2?
Answer:
3;87
Step-by-step explanation:
Since they are complementary, they add up to 90°. This allows you to write the equation
[tex]x+(16x+39) = 90 \rightarrow 17x=90-39 \rightarrow 17x=51 x=\frac{51}{17}=3[/tex]
The second angle measures then [tex]90-3 = 87[/tex]
i need help with number 5
.872 to scientific notation
Answer:
8.72×10²
Step-by-step explanation:
8.72×10²=872In class A, 17 students in a class of 25 passed an exam. In class B, 13 out of 20 passed. In class C, 7 out of 10 passed. Which class is the best class?
Answer:
class C
Step-by-step explanation:
a=(17/25)=0.68
b=(13/20)=0.65
c=(7/10)=0.7
Which number is a factor of 15 but no a multiple of 3?
Answer: 5
Step-by-step explanation:
[tex]3^{2x+1} -4.9^{x} =-9[/tex]
Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Ben plays less than ____ hood of veido games each of the three days ?
Answer Ben plays video games for 1 1/2 hours per day for the 3 days
Step-by-step explanation:
He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.
Let D = #hours per day Ben plays, then
3D = 4 1/2
3D = 4.5
D = 4.5/3
D = 1.5
What is the slope of the line containing the points (17,92) and
(21, 44)?
Answer:
-9.6
Step-by-step explanation:
92-44/17-21
Answer:
-12
Step-by-step explanation:
Formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Identify the values:
[tex]y_2=44[/tex]
[tex]y_1=92[/tex]
[tex]x_2=21[/tex]
[tex]x_1=17[/tex]
Plugin the values; solve:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{44-92}{21-17}[/tex]
[tex]= \frac{-48}{4}[/tex]
[tex]\bold{m=-12}[/tex]
Therefore, the slope of the line containing the points (17,92) and
(21, 44) is -12.
I need help with this
Answer:
check online for more information
simplify.
|−6 + (−3)| (−3) + 8 ÷ 2
If the expression inside the absolute value bars which is -6 .Simplifying the expression |−6 + (−3)| (−3) + 8 ÷ 2 is: 9.
What is the expression?Let simplify the given expression step by step:
|-6 + (-3)| = |-9| = 9
First calculate the expression inside the absolute value bars which is -6 + (-3) = -9. Then take the absolute value of -9, which is 9.
(-3) + 8 ÷ 2 = (-3) + 4 = 1
We follow the order of operations (PEMDAS/BODMAS).
First perform the division:
8 ÷ 2 = 4
Add -3 to 4 which gives us 1.
Simplified expression :
9 * 1 = 9
Therefore the expression is 9.
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A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 500 bacteria that grow at a rate of 16% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours? Round your answer to the nearest whole number.
The population of the bacteria after 8 hours is 1639 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 500 bacteria, hence
a = 500
The bacteria grow at a rate of 16% per hour, hence:
b = 100% + 16% = 1.16
The exponential equation becomes:
y = 500(1.16)ˣ
After 8 hours:
y = 500(1.16)⁸ = 1639
The population of the bacteria after 8 hours is 1639 bacteria.
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will give brainly if you help me thx
Answer:
A
Step-by-step explanation:
The answer is A because is it asking for a 3 in the hundredths place of the difference. Difference means subtraction. And you can find the hundredth spot in the second place over from the decimal
(ex. 1.23, hundredth place is a 3)
So then you do the math and find the differences.
14.56-9.33=5.23, which has a 3 in the hundredth place.
at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male
✍ Question:
at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male
✍ Answer:>> The total number of teachers in school would be
14 + 11 = 25>> Thus, the fraction of male teachers in school would be;
11/25#CarryOnLearning
- Happy Holidays! -
The required fraction of male teachers in teachers is 11/25.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Total number of teachers = female + male
= 14 + 11 = 25 teachers
Fraction of male teachers = male teachers / teachers = 11 / 25
Thus, the required fraction of male teachers in teachers is 11/25.
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The diner ordered 144 bagels. The order was for 80% plain 20% sesame bagels. An employee says that the diner should receive 43 sesame bagels. Explain whether the employee’s statement is sense (true) or nonsense (false).
Answer:
nonsense
Step-by-step explanation:
[tex]144\times0.2=28.8[/tex]
This employees statement is nonsense, as 43 sesame bagels is far more than the 29 they should expect when they order 20% of 144 bagels.
Answer:
it's nonsense. coz a person can't receive 43 sesame Bangles. it is not the actual number of sesame Bangles she should receive.
Inequality word problem
Step by step and explanation pls do the problem or report
Answer:
34 hours or more
Step-by-step explanation:
If h is the number of hours Jack works, then his earnings will total 15h. He wants that to be at least 500. The appropriate inequality is ...
15h ≥ 500
h ≥ 33 1/3 . . . . . divide by 15
Jack needs to work 34 hours or more to earn at least $500.
How would I write 5.882 times 10 to the -7 power in standard from. Be sure to add the commas
Answer:
Step-by-eeeeeeeeestep explanation:
Answer:
0.0000005882
Step-by-step explanation:
So... 10 to the -7th power is 1 /10000000 or 0.00000001. When you multiply 5.882 by that, you get 0.0000005882 or if you round it, 0.00000089.
Hope this helps!
Your friend says that the equations y - 9 = -5(x + 2) and y = -5x – 19 represent two different lines. Is your friend correct? Explain.
Answer:
Step-by-step explanation:
The second equation is y = -5x - 19
The first equation needs a little work
y - 9 = -5(x + 2) Remove the brackets
y - 9 = -5x - 10 Add 9 to both sides.
y = -5x -10 + 9 Combine
y = - 5x - 1
There are two lines there. They are parallel, but they never cross. The y intercepts are not equal and they don't lie on top of each other.
A bakery sells two kinds of baked goods: cookies and pie slices. A cookie costs 12 ani a pe sites $4. In one day, the store sold 34 baked goods for a total of $114. How many cookies die itey sele? How many pie slices did they sell? Write a system of equations and solve.
Answer:
uhhhhhhhhhhhh what does this say?