9514 1404 393
Answer:
15625/4096
Step-by-step explanation:
The sequence is geometric with first term 1 and common ratio 5/4. The general term is ...
an = a1·r^(n-1)
an = 1·(5/4)^(n-1)
Then the 7th term is ...
a7 = (5/4)^(7-1) = 15625/4096
Offering brainliest if answered with explanation
Answer:
Step-by-step explanation:
we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.
AB + BC + CA = 18
7 + 3 + CA = 18
10 + CA = 18
CA = 8
The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.
In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.
a2 + b2 = c2
72 + 32 = 82
49 + 9 = 64
58 = 64
Since the equation is not true, we can deduce that ABC is NOT a right triangle start, we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.
AB + BC + CA = 18
7 + 3 + CA = 18
10 + CA = 18
CA = 8
The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.
In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.
a2 + b2 = c2
72 + 32 = 82
49 + 9 = 64
58 = 64
Since the equation is not true, we can deduce that ABC is NOT a right triangle start, we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.
AB + BC + CA = 18
7 + 3 + CA = 18
10 + CA = 18
CA = 8
The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.
In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.
a2 + b2 = c2
72 + 32 = 82
49 + 9 = 64
58 = 64
Since the equation is not true, we can deduce that ABC is NOT a right triangle
Answer:
ABC is not a right triangle.
Step-by-step explanation:
The perimeter of a triangle is the sum of all its sides(easier to see if you draw it):
P = AB + BC + AC
We can substitute the values we have:
18 = 7 + 3 + AC
18 = 10 + AC
AC = 8
In a right triangle, the hypotenuse is always the largest side and is equal to the square root of the squares of the legs by the pythagorean theorem(a^2 + b^2 = c^2). Our largest side is 8, so we would set that as equal to the hypotenuse:
8^2 = 7^2 + 3^2
64 = 49 + 9
64 = 58
64 is not equal to 58, so triangle ABC is not a right triangle.
how many times would you expect to select purple?
Answer:
I believe the answer is J: 40 times
Step-by-step explanation:
Answer:
Hello! answer: 40 times
Step-by-step explanation:
9/27 × 120 = 40 times therefore 40 is the answer
find the area of the figure
area: units2
there are 32 students at a pizza party. each students ate 1/4 pizza how many whole pizzas did the students eat altogether?
Answer:
8
Step-by-step explanation:
what is the Difference between elimination method and indirect method
Answer:
Indirect method actually follows the same set of procedure as the direct method except that it begins with net income unlike the elimination method reduced a given system that indicates a system has no unique solution.
How much is 2 yd and 5 yd
Answer:
7 yards
Step-by-step explanation:
Answer:
7yd
ep-by-step explanat
i give brainliest help
Answer:
B,F
i think
Step-by-step explanation:
Have a nice day
i will give a brainlist and like please help me....
but if it is not true answer i will report
Answer:
1.6m is the answer
Step-by-step explanation:
Answer: so you can give branliest to the other guy
Step-by-step explanation:
Let A and B be two disjoint events such that P(A) = .30 and P(B) = .60. What is P(A and B)? 0.18 0.72 0.90 0 none of the above
Answer:
0
Step-by-step explanation:
If two events are disjoing (aka mutually exclusive) that means that there is 0 overlap or the intersection equals 0
So the probability of A and B occuring is 0 (because P(A∩B)= 0)
hey guys in the middle of my final! help? 30 points going to mark the brainiest too!
Answer: 148
Step-by-step explanation: All the angles are the same and if you take 180-32 you get 148 and that is the answer.
-Helper
between which pair of decimals should 1/4 be placed on a decimal line? is it 0.8and0.9 or 0.2 &0.8 or 0.6 & 0.8 or 0.5 & 0.7
Answer:
0.2 & 0.8
Step-by-step explanation:
1/4 is 0.25 and 0.25 is between the pair
2. The ordered pairs represent the ages of school
employees and the distance they drive to work
Which relation is a function?
A. {(26, 10), (31,9), (31, 12), (44, 18)}
B. {(29, 15), (29, 18), (33, 15), (33, 18)}
C. {(27, 11), (29,7), (34, 8), (34, 27)}
D. {(27, 11). (29, 11), (31, 11), (33, 11)}
someone help me please
Answer:
c = 7.4
Step-by-step explanation:
Pythagoras Theorem
8². - 3 ². = c ².
√64 -√9 = c².
√55 = c². = 7.4161984871².
c = 7.4
Please help me solve this question
angle D = 92°
Step-by-step explanation:
Since the two figures are congruent.
angle D = angle K
20x + 12 = 25x - 8
5x = 20
x = 4
Substituting this value into angle D, we see that
angle D = 20x + 12
= 20(4) + 12
= 92°
Find the probability that the next student will select hamburger for lunch. You
must write your answer as a fraction.
Answer=3/10
Step wise =
Total number of student=40
student who eat Hamburger=12
now,
Probability of eating hamburger student = 12/40
=3/10
(a)
Using a calculator, or otherwise, determine the value of:
(i) 5.25 - 0.015
Answer:
5.235
Step-by-step explanation:
Just use a calculator
Else
5.250
-0.015
______
5.235
Add 0 to make it equal. Carry 1 from 5 of 5.2'5'0 to 0 and make it 10. 10g5 is 5. Then 4 remains .4-1 is 3. Others are normally subtracted.
factorize
3a⁴+18a²-21-2b-3b²
Answer:
the expression is not factorable with rational numbers.
Answer:
The closest thing i can get to here is
38a^4-21- 7b^2
Step-by-step explanation:
thats the smallest i could get it to hope it helps <3
What’s the answer ?
Answer:
c
Step-by-step explanation:
I cannot see the whole picture. some numbers are cut off.
but just by making the calculating for the top-left corner we can see the only possible right answer.
so, top-left corner of A = 4 and of B = 7.
therefore, the top-left corner of the result matrix is then according to -2×A + 7×B
-2×4 + 7×7 = -8 + 49 = 41
the only solution option with 41 in the top-left corner is c.
What is the volume of a regular triangular pyramid with an apothem of 2.3ft, a side length of 8ft and a height of 25 feet
230FT
Regular tetrahedron
Solve for volume
V≈1.15×107
Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
Karen finished watching a movie at 1:10 pm. The movie lasted 1 hour and 38 minutes. What is the time that karen started watching the movie
Answer:
11:32:00 AM
Step-by-step explanation:
Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .
I need the answer step by step
Answer:
The family of all prime numbers such that [tex]a^{2} + b^{2} + c^{2} -1[/tex] is a perfect square is represented by the following solution:
[tex]a[/tex] is an arbitrary prime number. (1)
[tex]b = \sqrt{1 + 2\cdot a \cdot c}[/tex] (2)
[tex]c[/tex] is another arbitrary prime number. (3)
Step-by-step explanation:
From Algebra we know that a second order polynomial is a perfect square if and only if [tex](x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}[/tex]. From statement, we must fulfill the following identity:
[tex]a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}[/tex]
By Associative and Commutative properties, we can reorganize the expression as follows:
[tex]a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}[/tex] (1)
Then, we have the following system of equations:
[tex]x = a[/tex] (2)
[tex](b^{2}-1) = 2\cdot x\cdot y[/tex] (3)
[tex]y = c[/tex] (4)
By (2) and (4) in (3), we have the following expression:
[tex](b^{2} - 1) = 2\cdot a \cdot c[/tex]
[tex]b^{2} = 1 + 2\cdot a \cdot c[/tex]
[tex]b = \sqrt{1 + 2\cdot a\cdot c}[/tex]
From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, [tex]a, b, c > 1[/tex]. If [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are prime numbers, then [tex]2\cdot a\cdot c[/tex] must be an even composite number, which means that [tex]a[/tex] and [tex]c[/tex] can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.
In addition, [tex]b[/tex] must be a natural number, which means that:
[tex]1 + 2\cdot a\cdot c \ge 4[/tex]
[tex]2\cdot a \cdot c \ge 3[/tex]
[tex]a\cdot c \ge \frac{3}{2}[/tex]
But the lowest possible product made by two prime numbers is [tex]2^{2} = 4[/tex]. Hence, [tex]a\cdot c \ge 4[/tex].
The family of all prime numbers such that [tex]a^{2} + b^{2} + c^{2} -1[/tex] is a perfect square is represented by the following solution:
[tex]a[/tex] is an arbitrary prime number. (1)
[tex]b = \sqrt{1 + 2\cdot a \cdot c}[/tex] (2)
[tex]c[/tex] is another arbitrary prime number. (3)
Example: [tex]a = 2[/tex], [tex]c = 2[/tex]
[tex]b = \sqrt{1 + 2\cdot (2)\cdot (2)}[/tex]
[tex]b = 3[/tex]
What is the sum of the interior angles of the polygon shown below?
Answer:
900°
Step-by-step explanation:
formula:
(n-2) x 180°
n = number of sides of polygon
5 x 180 = 900°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
6z3+2z2-9
What is the constant
Answer:
.; i don't know the constant but i know that the degree is 3 Step-by-step explanation:
Please answer number 4 for brainliest
Answer:
Number 4. 46 gallons of paint
Step-by-step explanation:
30 x 20 x 10 = 6000
6000 / 130 = 46
I told you i am bad at this type of stuff but, I am confident that this is right.
Helpppppp pleaseeeeee !!!!!!!!! !!!!
Given:
The function is:
[tex]f(x)=6x-3[/tex]
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
[tex]f(x)=6x-3[/tex]
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=6x-3[/tex]
Step 2: Interchange x and y.
[tex]x=6y-3[/tex]
Step 3: Isolate variable y.
[tex]x+3=6y[/tex]
[tex]\dfrac{x+3}{6}=y[/tex]
Step 4: Substitute [tex]y=g(x)[/tex].
[tex]\dfrac{x+3}{6}=g(x)[/tex]
Therefore, the inverse of the given function is [tex]g(x)=\dfrac{x+3}{6}[/tex] and the graphs of these functions are shown below.
Every month, Ms. Jones pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by −$3,702 from payments made on her car loan.
Part A
What is the change in Ms. Jones' savings account balance each month due to her car payment?
Part B
Describe the total change to Ms. Jones’ savings account balance after making six monthly payments on her car loan.
Answer:
k
Step-by-step explanation:
Which statement is most likely to be true for this distribution?
1
A. The mean is less than the median.
B. The mean is greater than the median.
O C. The mean is the same as the median.
lent receives per day?
A patient is receiving a normal saline solution, infusing continuously at 80 ml/hr IV, and a tube feeding formula,
Glucerna, infusing continuously at 50 ml/hr. What is the total amount of fluids infused per day?
Answer:
The total amount of fluids infused per day is 3,120 ml.
Step-by-step explanation:
Given that a patient is receiving a normal saline solution, infusing continuously at 80 ml / hr, and a tube feeding formula, Glucerna, infusing continuously at 50 ml / hr, to determine what is the total amount of fluids infused per day the following calculation must be done:
(80 x 24) + (50 x 24) = X
1,920 + 1,200 = X
3.120 = X
Therefore, the total amount of fluids infused per day is 3,120 ml.
Constant of Variation
For the function defined by y = 1/x², y varies inversely as what quantity?
a. x
b. 2x
c. y
d. x²
Please select the best answer from the choices provided
Answer:
D. x²
Step-by-step explanation:
I calculated it logically
Four hundred randomly selected working adults in a certain state, including those who worked at home, were asked the distance from their home to their workplace. The average distance was x-bar equal to 8.84 miles. Assume that the standard deviation of the population of all working adults in that state is 2.70 miles. Construct a 99% confidence interval for the mean distance from home to work for all residents of this state. Droble
Answer:
The 99% confidence interval for the mean distance from home to work for all residents of this state is between 8.49 and 9.19 miles.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{2.7}{\sqrt{400}} = 0.35[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 8.84 - 0.35 = 8.49 miles.
The upper end of the interval is the sample mean added to M. So it is 8.84 + 0.35 = 9.19 miles.
The 99% confidence interval for the mean distance from home to work for all residents of this state is between 8.49 and 9.19 miles.