Answer Should be 45
Answered by Gauthmath must click thanks and mark brainliest
A group of students is arranging squares into layers to create a project. The first layer has 6 squares. The second layer has 12 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?
f(1) = 6; f(n) = 6 + d(n − 1), n > 0
f(1) = 6; f(n) = 6 ⋅ d(n − 1), n > 0
f(1) = 6; f(n) = 6 ⋅ d(n + 1), n > 0
f(1) = 6; f(n) = 6 + d(n + 1), n > 0
Answer:
a.
f(1)=6; f(n)=6+d(n-1), n>0
Step-by-step explanation:
We are given that
First layer has squares, a=6
Second layer has squares, a2=12
We have to find an arithmetic explicit formula to determine the number of squares in each layer.
[tex]d=a_2-a_1=12-6[/tex]
nth term of an A.P
[tex]a_n=a+(n-1)d[/tex]
Substitute the value of a
Now, we get
[tex]a_n=6+(n-1)d[/tex]
f(1)=a=6
[tex]a_n=f(n)=6+d(n-1)[/tex]
Hence, option a is correct.
a.
f(1)=6; f(n)=6+d(n-1), n>0
Answer:
f(1) = 6; f(n) = 6 + d(n − 1), n > 0
Step-by-step explanation:
I took the test on flvs and got it right.
100% Guaranteed Correct :)
, Hope this helps
Have a great day!!
Line K has a slope of -3/4. If the slope of of lines that are perpendicular to each other are opposite reciprocals, what is the slope of a line perpendicular to line k?
Answer:
+4/3
Step-by-step explanation:
-3/4 * -1 = 3/4 then flip it to 4/3
Answer:
4/3
Step-by-step explanation:
the slope of a perpedicular line is the inverse times negative one.
1)the inverse of -3/4 is -4/3
2)-4/3*-1 is 4/3
Which of the
x
xx-values are solutions to the following inequality?
x
>
111
x>111x, \gt, 111
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
x
=
97
x=97x, equals, 97
(Choice B)
B
x
=
101
x=101x, equals, 101
(Choice C)
C
x
=
119
x=119x, equals, 119
Given:
The inequality is:
[tex]x>111[/tex]
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
[tex]x>111[/tex]
It means all the real numbers greater than 111 are the solutions to the given inequality.
[tex]97<111[/tex], so 97 is not a solution.
[tex]101<111[/tex], so 101 is not a solution.
[tex]119>111[/tex], so 119 is a solution.
Therefore, the correct option is C.
Given:
The inequality is:
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
It means all the real numbers greater than 111 are the solutions to the given inequality.
, so 97 is not a solution.
, so 101 is not a solution.
, so 119 is a solution.
Therefore, the correct option is C.
The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.
Answer:
mean = 85, standard deviation = 3.5
Step-by-step explanation:
The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.
From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.
σ = standard deviation, μ = mean
Hence; μ ± 2σ = (78, 92)
μ - 2σ = 78 (1);
μ + 2σ = 92 (2)
Adding equation 1 and 2, gives 2μ = 170
μ = 85
μ - 2σ = 78
85- 2σ = 78
2σ = 7
σ = 3.5
i need help in this plz!!!!
Step-by-step explanation:
1) = {5(x+y)} - 2x
= 5x + 5y - 2x
= 3x + 5y
2)= {2(p×q)} + (p×q)
= (2p×2q)+ p×q
= 4pq + pq
= 5pq
3)= 6a + (8b + 2a)
= 8a + 8b
= 8(a+b)
4)= 3x² + ( x²+7x)
= 4x² + 7x
= x(4x+7)
Answer:
Step-by-step explanation:
72) 5*(x +y) - 2x
= 5x + 5y - 2x {Distributive property}
= (5x - 2x) + 5y {Combine like terms}
= 3x + 5y
73) 2*(pq) + pq
= 2pq + pq {Combine like terms}
= 3pq
74) 6a + (8b + 2a)
= 6a + 2a + 8b {Combine like terms}
= 8a + 8b
75) 3*x² + (x² + 7x)
= 3x² + x² + 7x {Combine like terms}
= 4x² + 7x
ASAppppppppppppppppppppppppppppppppppp
Answer:
3/8
Step-by-step explanation:
that is the answer
I solved it using a calculator
please give me brainliest
the answer is 3/8 because im right
PLEASE PLEASE PLEASE HELP. I WILL BE SO SO SO HAPPY!! WILL GOVE BRANLIEST! AND FOREVER BE SO HAPPY! POINTS!
Answer:
a
Step-by-step explanation:
follows geometric sequence. starting value is 1/3 and is multiplied by 1/3 every time
Distribute and simplify the radicals below
Answer:
i think A is answer you should to do
sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months and lent to bishwant at the same rate of compound interest compounded half-yearly for the same interval of time . How much profit did she make
Answer: Rs 275.40
Step-by-step explanation:
Since Sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months, the total amount that she's expected to pay will be calculated thus:
First, well calculate the interest. This will be:
= PRT/100
= (25000 × 12 × 1.5 / 100)
= 4500
Total amount to be paid back will be:
= Rs 25000 + Rs 4500
= Rs 29500
Since she lent the money to Bishwant, the total amount that Bishwant will pay will be:
A = P(1 + r)^t
where,
A = Final Amount
P= Principal = 25000
r= Rate of interest =
t= Time = 3 cycles
Since it's compounded half yearly, then 1½ywars will be = 1½ × 2 = 3 cycles
The rate will be = 12%/2 = 6% yearly.
We'll then slot the values into the question and this will be:
A = P(1 + r)^t
A = 25000(1 + 0.06)³
A = 25000(1.06)³
A = 25000 × 1.191016
A = 29775.4
Therefore, Bishwant is expected to pay Rs 29775.4
Then the profit that Sunayana is expected to make will be:
= Rs 29775.4 - Rs 29500
= Rs 275.40
the Length , breadth and thickness of a brick are 18 cm 8 cm and 5 cm respectively find its area of the largest face and volume
Step-by-step explanation:
vol: 18* 8* 5 cm³
720 cm³
hope this help
When you look at the two cylinders with these values of r and h, what do you notice about the proportions of the cylinders?
Answer and Explanation:
Volume of a cylinder is given by
V= Pi*r²*h
where v= volume of the cylinder
Pi is constant = 22/7 or 3.14159
r= radius of the circle of the cylinder
h= height of the cylinder
If two cylinders are measured proportionally to the other based on radius and height of each cylinder, we look at the proportional equality of the ratio of the radius and height of one cylinder to the other. If one cylinder for example has ratio of radius and height =2/4 then it is proportional to the other cylinder with ratio 1/2
Answer: One of the cylinders is short and wide, while the other is tall and thin.
Question 2
Find HY if YL = 9 .
Answer:
HY = 18
Step-by-step explanation:
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , so
HY = 2 YL = 2 × 9 = 18
Which expression is equivalent to 5(w+4) when w= 9?
519)
9(5)
5(9)+4
O 5(9)+20
Answer:
D
Step-by-step explanation:
[tex]5(9 + 4) \\ 5(13) \\ 65 \\ prove \: it \: d \: answer \\ 5(9) + 20 \\ 45 + 20 \\ = 65[/tex]
Can anyone help me please
Answer:
1
Step-by-step explanation:
Basically you just need to find the square root of all of them
36=6 -1=1 9=3 . -1=1
6-1-3-1=1
Find the value of x for which ABCD must be a parallelogram
a. 7
b. 2
c. 1
d. 4
Step-by-step explanation:
x+3=2x-1
x-2x=-1-3
-x=-4
x=4
A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.
Answer:
12 centimeters
Step-by-step explanation:
The side lengths of the triangle are: 26, 28, and 30 centimeters
a = 26 cm, b = 28 cm, c = 30 cm
To find the area, we first must find the semi-perimeter with the following equation:
s = (a+b+c)/2
= (28+26+30)/2
= 42 centimeters
Now, to find the area, we can use Heron's formula:
A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]
[tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]
[tex]\sqrt{42(14)(16)(12)}[/tex]
[tex]\sqrt{112896}[/tex]
336 squared centimeters
Since the area of the parallelogram is equal to the area of our triangle:
Area of Parallelogram = Area of Triangle
base ⋅ height = 336 squared centimeters
28 ⋅ height = 336 squared centimeters
height = 336/28
height = 12 centimeters
PLEASE HELP A boat travels downstream 10 miles and returns to the starting point in 2
hours. If the speed of the stream is 15 mph, find the speed of the boat in still
water. A. 20.81mph B. 30.24mph C.25.67 D.15mph
Answer:
A. 20.81 mph
Step-by-step explanation:
x = speed of the boat in still water.
one part of the trip is 10 miles downstream, where the speed of the boat and the speed of the current add together.
and the other part of the trip is the trip back the 10 miles upstream, where the speed of the current works against the speed of the boat :
10/(x + 15) + 10/(x - 15) = 2
10 + 10×(x+15)/(x-15) = 2×(x+15)
10×(x-15) + 10×(x+15) = 2×(x+15)×(x-15)
20x = 2×(x² - 225)
10x = x² - 225
0 = x² - 10x - 225
solution of a quadratic equation
x = (-b ± sqrt(b² - 4ac)) / (2a)
a = 1
b = -10
c = - 225
(10 ± sqrt(100 - 4×1×-225)) / 2 =
= (10 ± sqrt (100 + 900)) / 2 = (10 ± sqrt(1000)) / 2 =
= (10 ± 31.62) / 2
x1 = 41.62 / 2 = 20.81 mph
x2 is negative and did not make any sense.
Which segment is the hypotenuse?
Answer:
SU
Step-by-step explanation:
The hypotenuse is opposite the right angle
The hypotenuse is US or SU
We have to pick,
The segment which is hypotenuse,
Hypotenuse will be the opposite segment of the right angle.
Now it will be,
→ SU (or) US
Hence, SU is the hypotenuse.
A local store sells oranges at a price for 6 fo $9.00. If Alley wants to buy 10 oranges what would the total price be?
Answer:
15$
Step-by-step explanation:
you need to check how much of e costs and you do that by dividing the price by the amount and than comes up to 1.5 that's for 1 and for 10 it's 15 hope that helps
The original price of a mountain bike was reduced by $125.
If p = the mountain bike's original price in dollars, which algebraic expression represents the reduced price?
Answer:
p-$125= reduced price
Step-by-step explanation:
reduced implies that the $125 was SUBTRACTED from the original price.
A basketball player average to 12.5 points per game there are 24 games in a season at the rate how many points with the players scored in an entire game
Answer:
Wait did you mean how many points will it be after an entire SEASON?
Finding an angle measure
Answer:
C. 50 degrees
Step-by-step explanation:
Angle EDG is 90 degrees
x = 10
5 multiplied by 10 is 50
4 multiplied by 10 is 40
40+50=90
Answer:
50 = EDH
Step-by-step explanation:
We know that angle EDG is a right triangle (measures 90°). We also know that angle EDH and angle HDG make up angle EDG which is 90°. So ultimately we can state that;
EDH + HDG = EDG
5x + 4x = 90
9x = 90
x = 90/9
x = 10
Now that we know that value of x, we can say that;
EDH = 5x
since x = 10
EDH = 5(10)
EDH = 50
Hope this helps!
At a farmers market, oranges sell for $5 per bag and apples sell for $3 per
bag. Marc buys 7 bags of fruit for $29. How many bags of each type of fruit
did he buy?
Answer: 4 bags of oranges and 3 bags of apple
Step-by-step explanation:
Each bag of oranges is 5 and 5 times 4 is 20 Each bag of apples is 3 and 3 times 3 is 9 so 20 + 9 = 29
Find the value of x in the equation below.
Answer:
Here is your answer....
Hope it helps.....
Answer:
-3
Step-by-step explanation:
expand the bracket by multiplying everything
inside by 3
after that collect like terms
then solve to come up with -3 as ur answer
Express the following as ONE fraction:
(( b - c )/ b ) + (b / ( b + c ))
Answer:
Step-by-step explanation:
(b - c)/b * (b+c)/b Notice how the second fraction is inverted and multiplied. That's how you handle a 4 tier fraction. Here's a simpler example
[tex]\frac{\frac{2}{3} }{\frac{4}{5} } = \frac{2}{3} * \frac{5}{4}[/tex]
What you get with your problem is
(b^2 - c^2)/b^2
What is the length of bc
In a GEOMETRIC sequence, the first term is 21 and
the common ratio is 2. Find the 15th term.
Answer:
344064
Step-by-step explanation:
hope it is well understood
Look at the figure. Which surface of the figure is represented by plane EFHG?
the right side
the back
the top
the bottom
Find four fractions between 1/10 and 1/8
9514 1404 393
Answer:
5/48, 5/46, 5/44, 5/42
Step-by-step explanation:
We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:
1/8.4 = 5/42
1/8.8 = 5/44
1/9.2 = 5/46
1/9.6 = 5/48
__
Check
1/8 = 0.1255/42 ≈ 0.1195/44 ≈ 0.1145/46 ≈ 0.1095/48 ≈ 0.1041/10 = 0.100_____
Additional comment
There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.
__
Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.
Rewrite the expression in the picture in the form z^n.
Step-by-step explanation:
here's the answer to your question
Answer:
z^ 1/3
Step-by-step explanation:
sqrt( z / z^ 1/3)
We know a^b / a^c =a^( b-c)
sqrt ( z^(1-1/3))
sqrt( z^ 2/3)
Rewriting sqrt as ^ 1/2
z^ (2/3) ^ 1/2
We know a^b^c = a^(b*c)
z^(2/3 * 1/2)
z^1/3