Answer:
The answer is [tex]7\frac{1}{4}[/tex]
Step-by-step explanation:
Divide the numerator by the denominator.
Write down the whole number result.
Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.
This is what it would look like.
29÷4 is 7.25
then you would use the 7 as the whole number and what you used to get 7.25 as the numerator and denominator.
Hope this helps
Write an explicit formula for An, the nth term of the sequence 6, 18, 54, ....
Answer:
[tex] a_{n} = (6){3}^{n - 1} [/tex]
Step-by-step explanation:
6, 18, 54
First, recognize that this is a geometric sequence. To find the common ratio, divide the f
second term by the first term.
18/6 = 3
Check this with the second and third term.
54/18 = 3
Your common ratio is 3.
An explicit formula for a geometric equation is:
[tex] a_{n} = a_{1} {r}^{n - 1} [/tex]
We know the first term is 6 and the common ratio is 3. Plug in these values.
[tex] a_{n} = (6) {3}^{n - 1} [/tex]
This is your formula.
Hope this helps!
Answer:
54( 1/3)n-1
Step-by-step explanation:
8-6: MathXL for School: Practice & Problem Solving
Due 03
Challenge The radius of Circle A is 8 ft. The radius of Circle B is 2 ft greater than the radius of
Circle A. The radius of Circle C is 4 ft greater than the radius of Circle B. The radius of Circle D is
1 ft less than the radius of Circle C. What is the area of each circle? How many times greater than
the area of Circle A is the area of Circle D?
The area of Circle A is ft2.
(Simplify your answer. Type an exact answer in terms of .)
Enter your answer in the answer box and then click Check Answer.
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Answer:
The Area of a circle is
[tex]\pi {r}^{2} [/tex]
Therefore the Area of Circle A is
[tex]\pi {8}^{2} \\ 201.06[/tex]
Area of Circle B is
[tex]\pi {10}^{2} \\ 314.16[/tex]
Circle C
[tex]\pi {14}^{2} \\ 615.75[/tex]
Circle D
[tex]\pi {13}^{2} \\ 530.93[/tex]
Classify the coordinates given below into different quadrants according to their location.
(-3,7)
(-2,-2)
(3,-7)
(1,8)
(-6,-11)
(-6,4)
Quadrant ll
Quadrant l
Quadrant lll
Quadrant lV
20 POINTS!!!
Let f(x) = −3(2)^x and g(x) = x − 14.
Complete the table to determine the solutions of f(x) = −3(2)^x = g(x) = x − 14.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The table values are shown in the attachment. The function values are equal when x=2.
The solution to f(x) = g(x) is x = 2.
Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answer:
Perimeter of the given polygon = 48 ft
Step-by-step explanation:
Perimeter of the given polygon = Sum of measures of all sides of the polygon
= AB + BC + CD + DE + EF + FA
= 9 + 7 + CD + 8 + 4 + 15
= 43 + CD
Since, CD = AB - EF
= 9 - 4
= 5 ft
Therefore, perimeter of the given polygon = 43 + 5
= 48 ft
A PIECE OF WIRE IS 24 INCHES LONG. IF THE WIRE WAS CUT INTO 6 EQUAL PIECES. HOW LONG IS EACH PIECE OF WIRE?
Which of the following pairs correctly matches the inventor with the invention?
Wilbur and Orville Wright: telephone
Rudolf Diesel: oil-burning internal-combustion engine
Thomas Edison: motorized airplane
Alexander Graham Bell: phonograph
Answer the following for the given figure.
can you help please asap
Answer:
23.5
Step-by-step explanation:
First the shaded area is 28 but there is a triangle so we have to solve the area of the triangle. (formula for triangle: B x H x 1/2) 3 times 3=9 divided by 2=4.5
28-4.5=23.5
Mel took out a loan of $40,000 at 14 percent on March 16, 2015 which will be due on January 9, 2016. Using exact interest the amount of Mel's interest cost is:
Answer:
the interest cost is $4,679.45
Step-by-step explanation:
The computation of the interest cost is shown below:
= Loan amount × rate of interest × given no of days ÷ total no of days in a year
= $40,000 × 14% × 305 days ÷ 365 days
= $4,679.45
hence, the interest cost is $4,679.45
Is KLMN below a rectangle?
HELLLLPPPP PLZ.WILL GIVE BRAINLIEST
Please helpppppp asap aaaaaaaaaaaaa helppp
Answer:
the table part is easy, just copy the number on the left and put the letter written on top ( for a it should be 2a, 4a, 6a and so on)
ii - 3
iii - 1/6
iv - 1/3
Find the factors of following :
3x + y^3 z
Answer:
3x + y^3 z
3×x+y×y×y×z
there is common 1
1(3×x+y×y×y×z)
factor =1,&(3x+y³z)
Which expression is equivalent to StartRoot 200 EndRoot?
A) 2 StartRoot 10 EndRoot
B) 10 StartRoot 2 EndRoot
C) 10 StartRoot 20 EndRoot
D) 100 StartRoot 2 EndRoot
Answer:
Answer
is B
10√2
Step-by-step explanation:
is: √200
Simplifying the given expression, we get:
200 = 2 x 2 x 2 x 5 x 5
⇒ 200 = (2)² x (5) ² x 2
Answer:
b
Step-by-step explanation:
You deposit $600 in an account. The account earns $45 simple interest in 3 years. What is the annual interest rate?
Answer:735
Step-by-step explanation:45x3=135
135+600=735
Using the expression 1.29n + 0.79w + 2.39b, what is the total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts?
$13.91
$16.57
$12.91
Answer:
51
Step-by-step explanation:
51
When solving a system of linear equations what are you looking for?
The angles below form a linear pair.
What is the measure of angle GFH?
Answer:
55
Step-by-step explanation:
Copy the problems on to your paper. Use your notes as reference.
Simplify each of the following:
Answer:
1. x⁴³/³⁵
2. 1/x⁶
3. x⁴/2
Step-by-step explanation:
1. ⁷√x³. ⁵√x⁴
The above expression can be simplified as follow:
Recall:
ᵐ√aⁿ = aⁿ/ᵐ
⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x³/⁷ × x⁴/⁵ = x⁽³/⁷ ⁺ ⁴/⁵⁾ = x⁴³/³⁵
Therefore,
⁷√x³. ⁵√x⁴ = x⁴³/³⁵
2. x¯³ / x⁵x¯²
The above expression can be simplified as follow:
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³
Thus,
x¯³ / x⁵x¯² = x¯³ / x³
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
x¯³ / x³ = x¯³ ¯ ³ = x¯⁶
Recall
a¯ⁿ = 1/aⁿ
x¯⁶ = 1/x⁶
Therefore,
x¯³ / x⁵x¯² = 1/x⁶
3. 5(x⁴)³ / 10x⁸
The above expression can be simplified as follow:
Recall:
(aⁿ)ᵐ = aⁿ×ᵐ
5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
5x¹² / 10x⁸ = (5/10)x¹² ¯ ⁸ = 1/2 x⁴ = x⁴/2
Therefore,
5(x⁴)³ / 10x⁸ = x⁴/2
Imagine pls helpppppppp!!!!!!
Answer: 472392
Step-by-step explanation:
the pattern is three times the last number e.g.
8x3=24
24x3=72
72x3=216
Then to find the 11th term you continue this pattern.
5=648
6=1944
7=5832
8=17496
9=52488
10=157464
11=472392
NEED HELP FRE BRAINLIST
Answer:
D. 9.8 Valentines Day!
............
What is the volume of this beach ball if it’s width is 24 inches? (Use 3.14 for pie)
Answer:
It should be the last one: 57,905.84 inches
Step-by-step explanation:
What should be multiplied on both sides to solve the following equation: (3)/(4)x=(9)/(2)
Answer:
3/4x = 9....multiply both sides by 4 <==
3x = 9 * 4
3x = 36
x = 36/3
x = 12
Step-by-step explanation:
Kim spent 1/5 of her money at the mall. What percent of Kim’s money was spent at the mall?
Answer:
20%
Step-by-step explanation:
1/5 × 100 = 20%
Note: to change ANY fractions to percentage form, multiply with 100
simone buys a painting for 24000 later she sells it for 60000 how much is her percentage profit
Answer:
percentage profit = 150%
Step-by-step explanation:
percentage profit = sp - cp/cp * 100
sp is the selling price = 60000
cp is the cost price = 24000
percentage profit = 60000-24000/24000 * 100
percentage profit = 36000/24000 * 100
percentage profit = 36000/240
percentage profit = 150%
A social media website had 350,000 followers in 2010. The number y of followers
increases by 2% each year.
a. Write an exponential growth function that represents the number of followers t
years after 2010
b. How many people will be following the website in 2016? Round your answer to the
nearest thousand.
Answer:
a) [tex]y(t) = 350(1.02)^t[/tex]
b) 394 thousand = 394,000 people will be following the website in 2016
Step-by-step explanation:
Exponential equation for an amount:
The exponential equation for an amount after t years has the following format:
[tex]y = y(0)(1+r)^t[/tex]
In which y(0) is the initial value and r is the growth rate, as a decimal.
A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.
This means that: [tex]y(0) = 350, r = 0.02[/tex]
a. Write an exponential growth function that represents the number of followers t years after 2010
In thousands:
[tex]y(t) = 350(1 + 0.02)^t[/tex]
[tex]y(t) = 350(1.02)^t[/tex]
b. How many people will be following the website in 2016?
2016 is 6 years after 2010, so this is y(6).
[tex]y(6) = 350(1.02)^6 = 394.2[/tex]
Rounding to the nearest thousand:
394 thousand = 394,000 people will be following the website in 2016
Evaluate -3x+4y when x=-7 y=-10
Answer:
-19
Step-by-step explanation:
lucy is tracking the progress of growth of 2 plants. today her daffodil is 15cm high and it grows 1.5 centimerters per day. today her rose is 10 cm high and grows 2 cm each day. after how many days will both plants be the same height
Answer:
hello
Step-by-step explanation:
it willl be at least 5 days
if im wrong im really sorrry
Solve |x + 7| < 6
A)
–13 < x < –1
B)
–1 < x < –13
C)
–13 < x and x > –1
D)
–13 < x or x < –1
Answer:
A) - 13 < x < - 1
Step-by-step explanation:
1) Rewrite the inequality without the absolute value.
[tex] - 6 < x + 7 < 6[/tex]
2) Subtract 7 from the whole equation.
[tex] - 6 - 7 < x < 6 - 7[/tex]
3) Simplify.
[tex] - 13 < x < - 1[/tex]
Therefor, the answer is the first option.
Answer:
A) –13 < x < –1
Step-by-step explanation:
|x + 7| < 6
Separate into possible cases
[tex]x + 7 < 6 \\x +7 \geq 0[/tex]
Solve the inequalities
[tex]x < - 1, x \geq -7\\x > -13, x < -7[/tex]
Find the intersections
[tex]x = (-7, -1)\\x = (-13, -7)[/tex]
Find the union
Answer: A) –13 < x < –1