Answer:
6
Step-by-step explanation:
when u substitude the value of n as 2
u get 2*2-1+1=6
hope this helps
there is a mistake in question that f(1)= -6
but i have answered correctly
pls mark me brainliest
Answer:
f(2)= - 5
Step-by-step explanation:
hello :
f(1)=-3
f(n)=2f(n-1)+1
n=2 : f(2) = 2f(2-1)+1 = 2f(1)+1 but f(1) = -3
so : f(2)=2(-3)+1 =-6+1=-5
Vito is a pitcher on his baseball team. This season he has allowed an average of 0.8 hits per inning pitched. If Vito pitcher 160 innings this season how many hits did he allow?
Answer:
200
Step-by-step explanation:
.8x = 160
What’s the answer to this???
Answer:
c
Step-by-step explanation:
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 6% if no money is added or withdrawn from the account answer the following questions how much will be in the account in four years how much will be in the account after 16 years how many years will it take for the account to contain $2000 How many years will it take for the account to contain $2500
Answer:
In 4 years = $1,893.72
In 16 years = $3,810.53
years to contain $2,000 = 4.9371454128
years to contain $2,500 = 8.766692911
Step-by-step explanation:
In 4 years
A = 1,500 (1 + 0.06)^4
= $1,893.72
In 16 years
A = 1,500 (1 + 0.06)^16
= $3, 810.53
to find number of years
t = ln (A/P) / ln (1+r)
when A = 2,000
t = ln(2,000/1,500) / ln(1+0.06)
= 4.9371454128 years
when A = 2,500
t = ln(2,500/1,500) / ln(1+0.06)
= 8.766692911 years
PS: You can also use log in place of ln
The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.
Calculation of future value and the number of years it takesLet:
PV = Present value = $1,500
r = Interest rate = 6%, or 0.06
n = number of years
FVn = Future value after a certain number of years
Therefore, we have:
The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:
FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72
Therefore, the amount that will be in the account in four years is $1,893.72.
The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:
FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53
Therefore, the amount that will be in the account after 16 years is $3,810.53.
The number of years will it take for the account to contain $2000 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years
Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.
The number of years it will take for the account to contain $2500 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years
Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.
Learn more about future value here: https://brainly.com/question/13504821.
#SPJ2
4. Find the surface area of the space figure represented by the net.
A 75 cm
B 96 cm2
C 90 cm2
D 69 cm
Errol's bike ride from home to school can be modeled by the equation d(t) = -4t+2, where d(t) is
his distance from school, in miles, at t minutes. Errol's friend Daniel lives 4 miles away from school. It
takes Daniel twice as long to get to school if he bike rides at the same pace as Errol. What can be said
about the graph of the equation that models Daniel's bike rides?
Answer:
Option (2).It has a vertical translation by 2 units in the positive direction.
Step-by-step explanation:
Given question is not complete: find the complete question with attachment
Errol's bike ride can be modeled by the equation,
[tex]d(t)=-\frac{1}{4}t+2[/tex]
Slope of the given equation = [tex]-\frac{1}{4}[/tex] which shows the rate of change of distance from Errol's house
Y-intercept = 2, shows the distance of the school from Errol's house
Let the equation that represents the distance of Daniel's home from the school is,
y = mt + b
Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.
Since y-intercept 'b' represents the distance from his home, b = 4
Now the equation will be,
[tex]d(t)=-\frac{1}{4}t+4[/tex]
Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.
Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car 1
350 miles
in 5 hours
Car 2
240 miles
in 4 hours
Car 3
320 miles
in 5 hours
Car 4
420 miles
in 6 hours
Answer:
Car 1 and Car 4
Step-by-step explanation:
Car 1-70mph
Car 2-60mph
Car 3-64mph
Car 4-70mph
So, its Car 1 and Car4
Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute
Answer:
48
Step-by-step explanation:
240/5 = 48
Answer:
48 push ups in 1 minute
Step-by-step explanation:
We can use a ratio to solve
240 pushups
-----------------------
5 minutes
Divide each by 5
48 pushups
--------------------
1 minutes
How many combinations of 6 students can a teacher choose from 30 students?
657,720
593,775
180
427,518,000
Answer: 593775
Step-by-step explanation: 30C6 =30x29x28x27x26x25 / 6x5x4x3x2x1 =593775
What is the volume of the following rectangular prism?
Answer:
529 units squared
Step-by-step explanation:
What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)
A) 52 mm3
B) 157 mm3
C) 209 mm3
D) 628 mm3
Answer:
209
Step-by-step explanation:
The volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
What is a Cone's Volume?Volume of a cone = 1/3πr²h
Where, r = radius of the cone, and h = height of the cone.
Given:
π = 3.14Radius (r) = 5 mmHeight (h) = 8 mmThus:
Volume of a cone = 1/3(3.14)(5²)(8)
Volume of a cone = 209 mm³
Thus, the volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
Learn more about volume of cone on:
https://brainly.com/question/14278632
Find the area of the shape shown below.
Answer:
44.5
Step-by-step explanation:
(1 x 12) + (5 x 13)/2 = 44.5
Answer: 44,5 cm2
Step-by-step explanation:
Rektangel:
1 × 12 = 12 cm2
triangel:
13 × 5 = 65 cm2
78 ÷ 2 = 32,5 cm2
Area:
32,5 + 12 = 44,5 cm2
Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13
Answer:
x=7
Step-by-step explanation:
7+2 = 9. 9*15 = 135 degrees
asapppp
What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2
each Stone in Ali's collection weighs about 4 oz her collection way about 24 lb in all how many stones are in Ali's collection
Answer:
The answer is 96
Step-by-step explanation:
4 oz = 0.25 lb so 0.25*24 = 96
Another angle math problem. I just don’t get it ♀️ Help please.
Answer:
68°
Step-by-step explanation:
Complementary = 90 - 22
Ami and Bert are drawing plans for rectangular vegetable gardens. In Ami's plan, the garden is 16 feet by 13 feet. In Bert's plan, the garden is 18 feet by 18 feet.
Select all true statement(s).
A The area of Bert’s garden is 116 square feet greater than Ami’s.
B The area of Ami’s garden is 208 square feet.
C The area of Bert’s garden is 72 square feet.
D Ami’s garden has a greater area than Bert’s garden.
Answer:
A and B
16 times 13=208
18 times 18=324
Subtract those and you get 116
Answer:
A and B
Step-by-step explanation:
A.) Area of Bert's garden : 324 - Area of Ami's garden 208= 116
B.) Ami's garden is 208 feet if you do 16 x 13
Mark mine as branliest please!
Ann wants to buy a coffee machine. She knows, that during the holidays, the probability of a discount of more than 10% is 0.87, on weekends, the probability of a discount of more than 10% is 0.38, and on a regular weekday, it is 0.17. On average there are 15 holidays per year, 100 weekends (holiday weekends are excluded) and 250 weekdays. Find the probability of a discount of more than 10% for the randomly chosen day. Find the probability that it was a weekend if it is given that she bought a machine with a discount of more than 10%.
Answer:
Let's denote:
P(discount on 15 holidays) = P(A) = 0.87
P(discount on 100 weekends) = P(B) = 0.38
P(discount on 250 weekdays) = P(C) = 0.17
=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360
= 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360
= 0.26
Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:
P = 100/(100 + 250 + 15) = 0.27
Hope this helps!
:)
Answer:
1. 0.256
2. 0.406
Step-by-step explanation:
Total days:
15 + 100 + 250 = 365
P(more than 10% discount)
= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)
= 1871/7300
0.2563013699
P(weekend/more than 10% discount)
= (0.38×100/365) ÷ (1871/7300)
= 760/1871
0.4061998931
Find the interquartile range (IQR) of the data in the box plot below.
PLZ ASAP PLZ ASAP
Answer:
3
Step-by-step explanation:
To find the IQR, use this formula:
Quartile 3 – Quartile 1
this will get you the IQR of a box and whisker plot :)
(pls mark brainliest)
Which 2 numbers have a least common multiple of 36?
Answer:
9 and 12,
Step-by-step explanation:
Answer:
nine and twelve (A)
Step-by-step explanation:
The Least Common Multiple of six and fifteen is thirty and the LCM of eight and eighteen is 72, this leaves only A which is correct.
If the linear model applies the function f(x) = 1.3x + 9.2, what is the predicted value and residual
when the tree is 3 years old with a height of 14?
A) Predicted value: 13.1
Residual: 0.9
B) Predicted value: 11.8 Residual: 0.2
C) Predicted value: 15.7 Residual: 1.3
D) Predicted value: 18.3 Residual: 0.7
Answer:
A) Predicted value: 13.1 Residual: 0.9
Step-by-step explanation:
By definition:
residual = observed - predicted
The linear model is:
f(x) = 1.3x + 9.2
where f(x) is the height and x is the age of the tree.
Replacing with x = 3:
f(x) = 1.3(3) + 9.2 = 13.1 ft
which is the predicted value. The observed value is 14 ft, then:
residual = 14 - 13.1 = 0.9 ft
AC =
Round your answer to the nearest hundredth.
40°
Solve the system of linear equations by adding or subtracting.
3x + 7y = −17
4x − 7y = 10
Enter your answer as an ordered pair.
Answer:
3x + 7y = −17
4x − 7y = 10
Add up both sides of 2 equations, then
7x = -7
=> x = 1
=> y =(3 x 1 - 17)/7 = -14/7 = -2
Hope this helps!
:)
can someone help me with this I do not understand it?
Answer:
So, the first one is not proportional and therefore has no multiplier.
You are right on the second on both counts!
Step-by-step explanation:
You just need to divide the x's by the y's (individually) in order to determine what they are multiplied by. And the answers you get for the first one will be 5, 6, and 7. Because the numbers are different, they are not proportional.
pls help will mark as brainliest
Answer:
C F
Step-by-step explanation:
Answer:
2/10 is equivalent to 1:5
6:30 is equivalent to 1:5
8 to 40 is equivalent to 1:5
Step-by-step explanation:
PLEASEEEEEEEEEE HELP FAST... 50 POINTS
SOLVE FOR VOLUME
Answer:
Step-by-step explanation:
volume = height * are of the trapezoidal = 9 * (7+11)*4.5 / 2 = 364.5 m3
Answer:
364.5 m³
Step-by-step explanation:
Volume = base area × height
Base area: ½(7+11)×4.5
9×4.5
40.5 m²
Volume: 40.5 × 9
364.5 m³
you need to pay 8% tax on a car that costs $12,00. what will you end up paying in total?
Answer:
12960
Step-by-step explanation:
12,000 × .08 = 960
12,000 + 960 = 12,960
A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?
Answer:
Step-by-step explanation:
Total= 100 Ft
Width= 20
Length=?
Total - Width = Length
100 - 20 =
80 Length Of the Garden
If cos A = 12/13 , and ∠A is in the fourth quadrant, find the exact value of sin2A.
Answer: 0.71
Step-by-step explanation:
we have that cos(A) = 12/13
then:
A = Acos(12/13) = 22.62°
But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°
Then Sin(2A) = sin(2*202.62°) = 0.71
-3x+1/2=3/8
Whats x? pls someone help step by step
Answer:
x = -1/24 = -0.042
Step-by-step explanation:
Step 1 : Simplify 3/8
Step 2 :
Rewriting the whole as an Equivalent Fraction
Step 3 :
Calculating the Least Common Multiple
Equation at the end of step 3 :
24x + 1
——————— = 0
8
Last step:
Solving a Single Variable Equation :
5.2 Solve : 24x+1 = 0
Subtract 1 from both sides of the equation :
24x = -1
Divide both sides of the equation by 24:
x = -1/24 = -0.042
Hope this helps.
What I want you to do is think of yourself as a tourist who just landed in Nebraska. You've decided to take a road trip across the northwestern US (as presented in the states shown on the map) and you want to cross each state border exactly once. So for example, you want to make sure that you cross the border between SD-ND, SD-NE, SD-WY, SD-MT. You don't just want to visit South Dakota, but you want to cross all of the borders as well... but only once! You can visit each state as many times as you wish, but you can only cross each border once. Can you think of a way to cross ALL of the state borders in the map exactly once, while ending back where you started in Nebraska?
Answer: up, left, down, right
Step-by-step explanation:
because
