Let [tex]\sf a+b,a-b,ab,\dfrac{a}{b}[/tex] form an arithmetic sequence. What is the sixth term of this sequence?
Answer:
171/40 or 4 11/40Step-by-step explanation:
AP givena + b, a - b, ab, a/bTo find6th termSolutionCommon difference
Difference of first two
d = (a -b) - (a + b) = -2bDifference of second two
d= ab - (a - b)Difference of last two
d = a/b - abNow comparing d:
-2b = ab - (a - b)ab - a = - 3ba(1 - b) = 3ba = 3b/(1 - b)and
a/b - ab = -2ba(1/b - b) = -2ba = 2b²/(b² - 1)Eliminating a:
2b²/(b² - 1) = 3b/(1 - b)2b/(b+1) = -32b = -3b - 35b = - 3b = -3/5Finding a:
a = 3b/(1 - b) = 3*(-3/5) *1/(1 - (-3/5)) = -9/5*5/8 =-9/8So the first term is:
a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40Common difference:
d = -2b = -2(-3/5) = 6/5The 6th term:
a₆ = a₁ + 5d =-69/40 + 5*6/5 = -69/40 + 240/40 =171/40 = 4 11/40After a gas-filled balloon is released, it rises 90 feet by the end of the first minute. By the end of the second minute, the balloon rises 120 feet, and by the end of the third minute, it rises 150 feet. How many feet would the balloon rise in 8 minutes?
a.
300
c.
390
b.
330
d.
660
Answer:
Its B :)
Step-by-step explanation:
The maximum weight ,w, an elevator can lift is 2,200 pounds. Which inequality represents the situation??
Answer:
W is less than or equal to 2200
Step-by-step explanation:
(I don't know how to do the less than or equal to symbol on the computer)
The inequality equation is w ≤ 2200 , where w is the maximum amount of weight in an elevator
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Let the maximum weight in an elevator be w
Now , the maximum weight an elevator can lift is given by = 2,200 pounds
So , the inequality relation is given by
w ≤ 2,200 pounds be equation (1)
Therefore , the value of A is w ≤ 2,200
Hence , the inequality relation is w ≤ 2,200
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find slope of the line that passes through the two points (3,11) and (9,16)
Answer:
5 over 6
Step-by-step explanation:
y2-y1 over x2-x1 is the equation you need. Y2 in this case is 16, Y1 is 11 and X2 is 9 and X1 is 3 so then you just plug it is. 16 - 11 is 5 and 9 - 3 is 6
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B and C
Step-by-step explanation:
For the first one, any two shades of paint will be different if they're different numbers, and the same shade if they're the same numbers. Knowing this, we can see:
A , D, and E are all the same number (1/3) so they're all the same shade.
The remaining shades (B and C) are both 1/2 so they're the same shade.
Therefore there are two different shades of paint.
For the second one, we know that the more red the shade is, the larger the fraction will be. So we just need to look for the shades with the largest fraction. These are shades B and C, because they are both 1/2 (aka 50% red), whereas all the others are 1/3 (aka 33.3% red).
PLEASE HELP ME
Determine each percentage by writing a proportion. Round to the nearest tenth if necessary.
9. What % of 30 is 21?
Answer:
70%
Step-by-step explanation:
21 ÷ 30 = 0.7 = 70%
Please mark me Brainliest! :)
Answer:
Step-by-step explanation:
21/30 * 100 = percentage
Percentage = 70%
21 is 70% of 30
:D
What is the answer to this question?
Answer:
the answer is the top right option
Step-by-step explanation:
What is the area, in square units, of the parallelogram shown below?
21
56
63
81
Answer:
63
Step-by-step explanation:
You find the area of a parallelogram the same way you would a rectangle.
A = lw or A = bh so A = (9)(7). A = 63
Answer:
C. 63
Step-by-step explanation:
To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.
Have a great day!
Evalute the root in the question below in the screenshot
(precalc)
Answer:
Graph attached
Step-by-step explanation:
jenkins-traub method for the complicate calculation
it has 1 real root: 1.5164
2 complex roots : neglected
Solve the equation using mental math
1
+
= 6
11
12
4
01
35
48
052
w
WINWIN
06
072
6
Quadrilateral RUST has a vertex at R (1,2). U S What are the coordinates of R'after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x, y) - (x + 2, y)?
A. (5,8)
B. (5,2)
C. (9,6)
D. (5,6)
Answer:
D. [tex](5,6)[/tex]
Step-by-step explanation:
Let [tex]R(x,y) = (1,2)[/tex], we proceed to perform all operations described on statement:
1) Dilation
[tex]R'(x,y) = O(x,y) + k\cdot [R(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Point of reference.
[tex]R(x,y)[/tex] - Original point.
[tex]R'(x,y)[/tex] - Dilated point.
[tex]k[/tex] - Scale factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]R(x,y) = (1,2)[/tex] and [tex]k = 3[/tex], then the dilated point is:
[tex]R'(x,y) = (0,0) +3\cdot [(1,2)-(0,0)][/tex]
[tex]R'(x,y) = (0,0) +3\cdot (1,2)[/tex]
[tex]R'(x,y) = (3,6)[/tex]
2) Translation
[tex]R''(x,y) = R'(x,y) + T(x,y)[/tex] (2)
Where:
[tex]R'(x,y)[/tex] - Original point.
[tex]T(x,y)[/tex] - Translation point.
[tex]R''(x,y)[/tex] - Translated point.
If we know that [tex]R'(x,y) = (3,6)[/tex] and [tex]T(x,y) = (2,0)[/tex], then the translated vector is:
[tex]R''(x,y) = (3,6)+(2,0)[/tex]
[tex]R''(x,y) = (5,6)[/tex]
Therefore, the correct answer is D.
Answer:d
Step-by-step explanation:
I WILL GIVE BRAINLIEST IF FIRST PERSON GET THE ANSWER RIGHT HELP!!!!!!!!!!!!
The figure shows a carpeted room. How many square feet of the room are carpeted?
A polygon that is a part of a rectangle is shown with perpendicular sides. The top is labeled 11 feet. The line on the left is labeled 9 feet. The side on bottom is labeled 6 feet, and the side adjacent to it on the right is labeled 5 feet
69 square feet
74 square feet
99 square feet
129 square feet
Answer:
i would say 74 but i may be wrong
Step-by-step explanation:
Which of these rational numbers is also an integer?
A - 2/4
B - 0.24
C - 4/2
D - 2.4
Convert to centimeters: 43 meters
An item on sale costs 85% of the original price. The original price was $75.
Answer:
$63.75
Step-by-step explanation: I think
LCM of 189024
please give me answer my question
Answer:
360
Step-by-step explanation:
We need to find the LCM of 18,90 and 24.
The prime factorization of 18 = 2 × 3 × 3
The prime factorization of 90 = 2 × 5×3×3
The prime factorization of 24 = 2 × 3×2×2
LCM is least common multiple.
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 360
Hence, the LCM of 18,90 and 24 is 360.
PLZZ HELP BRAINLIEST
David is preparing for a dance competition. He needs to practice for 13 hours in 5 days. Which of the following statements show that David is practicing according to the required rate?
A.
26 hours in 10 days
B.
21 hours in 15 days
C.
50 hours in 10 days
D.
62 hours in 12 days
Answer:
was gonna answer but you got it already :(
Step-by-step explanation:
What is the rectangular form of z = 6(cos((3pi)/4) + i sin((3pi)/4))
Answer:
Z= -3 square root 2 + 3i square root 2
Step-by-step explanation:
Answer:
C :)
Step-by-step explanation:
got it right on edge, hope it helps
Ray does chores every day for a small earns $1.50 a day for washing the dish day taking out the trash. After 4 days Write and solve an equation to deter earns per day taking out the trash.
Which graph represents the solution to the system of inequalities?
{y<−4x+1
{y≥−14x
Answer:
1st graph on line 2
Step-by-step explanation:
The depth (inches) of water that accumulates in the spring soil from melted snow can be determined by dividing the cumulative winter snowfall (inches) by 12. Determine the amount of winter snow that accumulates 6 inches of water in the soil.
a.
6 inches of snow
b.
84 inches of snow
c.
72 inches of snow
d.
12 inches of snow
Answer:
C
Step-by-step explanation:
its just 12 times 6
Answer:
c
Step-by-step explanation:
I took the test and got it right
A little girl kicks a soccer ball. It goes 10 feet and comes back to her. How is this possible?
Answer:
She kicked the ball upwards.
Step-by-step explanation:
:)
Answer:
She kicked the ball up. Thanks for 50 points. :)
Step-by-step explanation:
Which expressions are equivalent to 16? Select each correct expression
1 to the 16th power
2 to the 4th power
4 to the 2nd power
8 to the 2nd power
16 to the power of 0
16 to the power of 1
Answer: Choose 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1
Step-by-step explanation:
When working with exponents, whatever number is the corner of another number, multiply it by itself. For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also there is 4 to the 2nd power which is 4x4 which is also 16. Lastly you have 16 to the power of 1 and anything multiplied by 1 stays the same.
Correct choices are 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
When working with exponents, whatever number is the corner of another number, multiply it by itself.
For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also, there is 4 to the 2nd power which is 4x4 which is also 16. Lastly, you have 16 to the power of 1 and anything multiplied by 1 stays the same.
Therefore, the correct choices are 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1.
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If the area of each of the triangular regions is as shown, what is the area of the polygon?
18
17
16
Answer:
18
Step-by-step explanation:
Simplify:
3 + {[(8 ÷ 2) + 2] + 8} =
Answer:
The answer is 17
hope this helped and good luck on your test! :D
Step-by-step explanation:
The function f(x) = -square root x is shown on the graph.
Which statement is correct?
ТУ
7
6
5
3
The domain of the function is all real numbers less
than or equal to - 1
O The range of the function is all real numbers greater
than or equal to 0.
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
2
55
14
-
2
-
3
4 5 6 7 X
-2
3
4
-5
-6
Answer:
O The range of the function is all real numbers greater
than or equal to 0.
Step-by-step explanation:
The function f(x) = -square root x is shown on the graph.
Which statement is correct?
ТУ
7
6
5
3
The domain of the function is all real numbers less
than or equal to - 1
O The range of the function is all real numbers greater
than or equal to 0.
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
2
55
14
-
2
-
3
4 5 6 7 X
-2
3
4
-5
Answer:
C:domain: all real numbers
range: all real numbers greater than 1
Step-by-step explanation:
Edge 2021
pls help asap!! no trolls
Answer:
7
Step-by-step explanation:
а>12-6
what is 56+32 gcf and sum
Answer:
The GCF=8 The Sum=88
Avery's classroom has 3 round tables and 6 square tables. Each table can seat 4 students.
Students are randomly seated at the tables as they arrive to class.
What is the probability that the first student to arrive will be seated at a square table
Candace deposited $3,587.39 into a savings account with an interest rate of 4.2% compounded twice a year. about how long will it take for the account to be worth $5,000?
Answer:
Solution in photo
Step-by-step explanation: