Answer: 0.75n+1.75 ≤ 20 because you have to have the number of additional miles with the cost of $0.75 per mile but then you have to add the original first mile with a cost of $1.75. It has to be less than or equal to because you only have $20 to spend you can't spend more than that you have to spend that amount or less.
Step-by-step explanation:
Answer:
25 miles or 25.333
Step-by-step explanation:
A geometric sequence is given by the recursive rule $a_1=\frac{2}{3},\ a_n=3a_{n-1}$ . Give an explicit rule for the nth term of the sequence $b_1,\ b_2,\ b_3,\ \dots\ ,$ given that $b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots$ .
Answer:
[tex]b_n = \frac{2}{27} (9^n)[/tex]
Step-by-step explanation:
Given
[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]
Required
An explicit rule for [tex]b_1,\ b_2,\ b_3,\ \dots[/tex]
Where [tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]
We have:
[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]
Calculate a2
[tex]a_2 = 3a_{2-1}[/tex]
[tex]a_2 = 3a_1[/tex]
[tex]a_2 = 3 * \frac{2}{3}[/tex]
[tex]a_2 = 2[/tex]
Calculate a3
[tex]a_3 = 3a_{3-1}[/tex]
[tex]a_3 = 3a_2[/tex]
[tex]a_3 = 3 *2[/tex]
[tex]a_3 = 6[/tex]
Calculate a4
[tex]a_4 = 3a_{4-1}[/tex]
[tex]a_4 = 3a_3[/tex]
[tex]a_4 = 3*6[/tex]
[tex]a_4 = 18[/tex]
Calculate a5
[tex]a_5 = 3a_{5-1}[/tex]
[tex]a_5 = 3a_4[/tex]
[tex]a_5 = 3*18[/tex]
[tex]a_5 = 54[/tex]
So:
[tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]
[tex]a_1=\frac{2}{3}[/tex] [tex]a_3 = 6[/tex] [tex]a_5 = 54[/tex]
The above sequence form a geometric sequence.
Calculate common ratio (r)
[tex]r = \frac{b_3}{b_2}[/tex]
[tex]r = \frac{a_5}{a_3}[/tex]
[tex]r = \frac{54}{6}[/tex]
[tex]r = 9[/tex]
So, the explicit formula is:
[tex]b_n = b_1 * r^{n-1[/tex]
[tex]b_1=a_1[/tex], so:
[tex]b_n = a_1 * r^{n-1[/tex]
[tex]a_1=\frac{2}{3}[/tex], so:
[tex]b_n = \frac{2}{3} * 9^{n-1[/tex]
Split:
[tex]b_n = \frac{2}{3} * \frac{9^n}{9}[/tex]
[tex]b_n = \frac{2}{3*9} (9^n)[/tex]
[tex]b_n = \frac{2}{27} (9^n)[/tex]
The explicit rule is: [tex]b_n = \frac{2}{27} (9^n)[/tex]
A random sample of 50 students from a high school with 900 students is surveyed. Each student is asked what science class he or she is taking and all students at the school take science. The table shows the responses.
Answer: 50 and 900 is correct
Step-by-step explanation:
50 and or 100
The store brought a pair of shoes for 40$ and sold it for 50$. What percentage was the markup?
Answer:
20%
Step-by-step explanation:
You would do 40/50 and then 40/50 is also 80/100. Then you'd take the remainder and that'd be the mark up price.
In the triangle CDE, point Y is the midpoint of segment CD and point X is the midpoint of segment DE,
Solve for x
A, 8
B. 6
C. 10
D-10
Answer:
Option A. 8 will be your answer
Step-by-step explanation:
hope it helps you
have a great day!!!
Can some one help me answer this.
Answer: y= 0.0025
Step-by-step explanation:
Answer:
y= 0.0025
Step-by-step explanation:
every number in the y place is mutipled by four so to find y you need to divide 0.01 by 4
Find the approximate radius of a circle with a circumference of 198 centimeters. Use 3.14
for it Round to the nearest hundredth.
A. 63.06
B. 31.53
C. 621.72
D. 310.86
The radius of the circle is around 31.65 cm. Choice B
The formula C = 2πr , where C is the circle's circumference and r is its radius, yields the circumference of a circle. In this illustration, the circle's circumference is given as 198 cm
C = 2πr
The formula to calculate the radius can be revised as follows:
r = C / (2π)
r = 198 / (2 * 3.14)
To perform the calculation, divide the numbers:
r ≈ 198 / 6.28
r ≈ 31.65
The circle's estimated radius is 31.65 centimetres as a result.
So, rounded to the closest hundredth, the estimated radius of the circle with a circumference of 198 centimetres is 31.65 centimetres.
The closest option to 31.65 in the list of possible answers is B. 31.53. It's crucial to keep in mind that choosing 3.14 as an approximation for involves some mistake and that the precise radius number might change slightly.
When rounded to the next hundredth, the radius is 31.65. This result can be compared to the other solutions to show that:
B. 31.53.
For more such questions on radius visit;
https://brainly.com/question/24375372
#SPJ8
PLLLEASEEE HELLPPP I WILL GIVE BRAINLIEST!!!!
Answer:
Step-by-step explanation:
to make it quick
2*110 = arc FI
220° = arc FI
arc LI = 97°
arc FL = x
360 = 220 + 97 + x
43 = X
arc FL = 43°
:)
11. The population of 1,000 unicorns is decreasing by 8% every year.
What is the independent and dependent variables of this situation?
A. Independent - Population; Dependent - years
B. Independent - Years; Dependent - population
What is the perimeter of a rectangle with a length of 6cm and a width of
5cm?
Answer:
perimeter = 22 cm
Step-by-step explanation:
perimeter = 2(L + W) = 2(6 + 5) = 22 cm
Answer:
22cm
Step-by-step explanation:
P=2(l+b)
so length (l)=6cm
width (b)=5 cm
Fill in the missing value for the coordinate pair that lies on the graph of the function
y = 2^x
(5,___)
find the value of given expression
[tex] \sqrt{369 \times 369} [/tex]
Answer:
√{369×369}=√369²=369 is your answer
Answer:
your answer will be 369
Step-by-step explanation:
......
Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 kilometres per hour and the other travels at an average speed of 70 kilometres per hour. How long after they leave the station will they be 50 km apart?
Answer:
1/3 hr or 20 min.
Step-by-step explanation:
Call the trains A and B
Remember d = rt
Distance train A travels is 80t
Distance train B travels is 70t
Now, 80t + 70t = 50
150t = 50
t = 50/150 = 1/3 hr or 20 min.
What is the value of 3^2+4(2+4)x6 divided by 8+4
Answer:
its 31
Step-by-step explanation:
4 workers build a walk in 18 days . How many more workers should be added to build it in 12 days?
Answer:
2
Step-by-step explanation:
figure it in "worker days"
4 builders times 18 days= 72 worker days
72 days/ 12= 6 workers
have 4 workers now, so you need 2 more
Answer:
answer is 2
Step-by-step explanation:
hope it help you
HELP NO WRONG ANSWER PLS
it's π 11²-π 3²
π(121-9)
3.14(112)
=351.68cm²
round off yourself (╥﹏╥)
Z+k, when z=1 and k = 7
Answer:
8
Step-by-step explanation:
Replace the variables with numbers.
1+7=8
Answer:
8
Step-by-step explanation:
Since z equals 1 and k equals 7, we do 1 + 7 which is equal to 8. Therefore, the answer would be 8.
A cast member is selling balloons on Main Street. He has 8
princess balloons, 5 blue Mickey balloons, and 7 red Mickey
balloons. He sells one balloon, and then another (no replacing).
Find the probability of selling one blue balloon followed by
another blue balloon and show the equation used.
Answer:
4/76 or simplified as 1/19
Step-by-step explanation:
5/20 is for the probability of the first balloon
4/19 is for the probability of the second balloon
5/20 can be simplified to 1/4 so 1/4 x 4/19 = 4/76
4/76 can also be simplified to 1/19
please help!!!! find the value of x
Answer:
The answer is x+2=7,
Step-by-step explanation:
because x is a variable
Find the lateral surface area of the triangular prism.
A) 420 cm2
B) 480 cm2
C) 540 cm2
D) 620 cm2
Answer:
620
Step-by-step explanation:
other dood is wrong lol i did the math and took the test AND got it right
The lateral surface area of the triangular prism is 480 square cm,
option (B) is correct.
It is given that the triangular prism has a 10 cm height and its sides are 16 cm, 12 cm, and 20 cm respectively.
It is required to find the lateral surface area.
What is the lateral surface area?It is defined as the surface area of an object excluding its top and base areas, it is different from the total area.
We know that,
The lateral surface area of triangular prism = perimeter of the
base×height
= (a + b + c ) × h
We have, a = 16, b = 20 cm, c = 12 cm, and h =10 cm.
Putting these values in the above formula, we get:
[tex]\rm = (16+20+12) \times10\\\\\rm = 48\times 10\\\\\rm = 480 \ cm^2[/tex]
Thus, the lateral surface area of the triangular prism is 480 square cm,
option (B) is correct.
Learn more about the lateral surface area here:
https://brainly.com/question/14001755
Blank minus 1/10 equals 1/2
PLEASE HELP ASAP I WILL GIVE BRAINLILIST
Let () = −3(2)^ and () = − 14.
Complete the table to determine the solutions of () = −3(2)^ = () = − 14.
The solution of () = −3(2)
= () = − 14 is = ______
Step-by-step explanation:
-3. 2
-2. 1
-7. 6
i did my best.
Please choose the correct answers !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
its B E F
Step-by-step explanation:
hope this helps
en una granja sembraron 20 parcelas de locotes, con 40 plantas en cada una ¿Cuántas plantas de locotes se tienes?
Answer:
800
Step-by-step explanation:
20 x 40 = 800
Please can someone help I don’t understand the question if it’s right I’ll give more plsssssesssssssssssddsd
Answer:
x = 33°
Step-by-step explanation:
From the figure attached,
FB and FC are two secants intersecting each other at point F outside the circle.
Measure of angles between the secants measures half of the difference between the intercepted arcs.
x° = [tex]\frac{1}{2}(\text{arc BC}-\text{arc DE})[/tex]
x° = [tex]\frac{1}{2}(108-42)[/tex]
x = 33°
need help ASAP !!!
[tex] \sqrt{8745 \times 8745} [/tex]
Answer:
8745Step-by-step explanation:
Here,
[tex] \sqrt{8745 \times 8745} [/tex]
= 8745 (Ans)
PLEASE HELP ASAP PLEASE WILL GIVE BEST RATE AND BRAINLEST PLEASE
Answer:
I think it's 145.225 sq in.
Step-by-step explanation:
2.5 x 2 x 3.14 = 15.7
15.7 x 9.25 = 145.225
Answer:
its the second one
Step-by-step explanation:
2.5 x 2 x 3.14 = 15.7 because 3.14 is pi
and then do
15.7 x 9.25 = 145.225 so there you go
4/6-3/8 zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
The answer is 7/24 ~hope this helps~
btw, sick pic B-)
Step-by-step explanation:
Which triangle is similar to triangle T
Answer:
2nd one from the left.
Step-by-step explanation:
it has the same angle measures.
Kayla bought seven boxes. A week later, half of all her boxes were destroyed in
a fire. There are now only 22 boxes left. With how many did she start? Show your work.
Answer:
Let's call the number of boxes Maria started with:
There are 37 boxes
Step-by-step explanation:
Let's call the number of boxes Kayla started with:
Then we can write:
22
=
b
+
7
2
Where:
22
is the number of boxes Kayla has left.
(
b
+
7
)
is the number of boxes Kayla started with plus the
7
she bought
The division by
2
represents
1
2
of the total boxes Kayla had being destroyed by fire.
We can solve this by first multiplying each side of the equation by
2
to eliminate the fraction while keeping the equation balanced:
2
×
22
=
2
×
b
+
7
2
44
=
2
×
b
+
7
2
44
=
b
+
7
Now, subtract
7
from each side of the equation to solve for
b
while keeping the equation balanced:
44
−
7
=
b
+
7
−
7
37
=
b
+
0
37
=
b
b
=
37
Kayla started out with 37 boxes.
answer pls and thank u !