Answer: exponential
Step-by-step explanation:
its exponential
count the squares in each one
first is 2 squares
second is 4 squares
third is 8 squares
this is going up exponentially because the first one would be 2^1 the second would be 2^2 and the third would be 2^3
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
The area of the parallelogram below is
square meters.
9 m
7 m
2 m
Which of these tables represents a linear function?
Answer:
Second.
Step-by-step explanation:
A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Is 1/4 squared a rational?
Answer:
It is a rational.
Step-by-step explanation:
0.25² = 0.0625
It is a rational.
A car lot has both used and new cars. If 86% of the cars on the lot are new and 45% of the cars are new and have a sunroof, find the probability of randomly choosing a car with a sunroof, given that it is a new car
Answer:
0.523
Step-by-step explanation:
Let :
New car = N
Sunroof = S
P(N) = 0.86
P(N n S) = 0.45
Recall :
P(A|B) = p(AnB) / p(B)
Therefore ;
P(S|N) = P(SnN) / p(N)
P(S|N) = 0.45 / 0.86
P(S|N) = 0.523
1. If you are having a cookout for 200 people and ribeyes are $200.00 per loin and you can get 50 ribeyes per
loin, how much will the steak cost? How much is the steak per person?
Answer:
$800 total paid for four loins. Everyone gets one ribeye so price of steak per person is four dollars.
Step-by-step explanation:
1 ribeye per person -> 50 ribeyes per loin -> 200 (people going)/50 (people fed per loin) = 4 (loins needed) -> $200.00 x 4 loins = $800 of loin total and 4 dollars per ribeye (1 ribeye per person)
For spirit week, a high school club is making wristbands from paper. The wrist bands are designed to have a height of 1.8 centimeters and a maximum diameter of 7.5 centimeters. How many Square centimeters of paper are required to make each wristband?
Answer:
Step-by-step explanation:
33
43.0 square centimeters of paper are required to make each wristband.
What is area of curved surface?The curved surface of a cylinder is equal to a rectangle whose length is
2[tex]\pi[/tex]r and whose width is h.
The area of the curved surface = [tex]\pi dh[/tex].
Given
Height of wrist band = 1.8 cm
Diameter of wrist band =7.5 cm
Wrist band is a cylinder
Area of curved surface
S = [tex]\pi dh[/tex]
= 3.14 × 7.5 × 1.8
= 42.9552 ≅ 43.0 [tex]cm^{2}[/tex]
Hence, 43.0 square centimeters of paper are required to make each wristband.
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Find the distance between the two numbers on a number line.
–7 – 3 2/ 3
The distance between the two numbers is
15
Answer:
ft
Step-by-step explanation:
Answer:
Actually the distance is 3 1/3
Please help me with full calculations
Answer:
use formula,
P(x,y)=P'(-y,x)
so.
R(-2,-2)=R'=(2,-2)
S(1,1)=S'(-1,1)
T(-1,-3)=T'(3,-1)
Step-by-step explanation:
plot R,S,T and R',S',T' in the graph
anybody know the answer? please help
Answer:
the first one. slope is 1/2 and y intercebt (b value) is positive 2.
Step-by-step explanation:
Answer:
y=1/2x+2
Step-by-step explanation:
This equation is linear because the graph is a straight line. Therefore, use the slope-intercept form y=mx+b to create the equation.
To find m (the slope), pick two points like (0,2) and (2,3). Find the change in y over the change in x: (y2-y1)/(x2-x1).
y2=3, y1=2, x2=2, x1=0
(3-2)/(2-0)= 1/2
This is the slope which means the equation is one of the first 2 options.
Next find b (the y-intercept) by finding the y value on the graph when x=0. When x=0, y=2. Therefore, b=2 and the final equation is y=1/2x+2
Does anyone know what the answer to this would be?
Answer:
D
Step-by-step explanation:
please answer and answer
Answer:
Is the C
Step-by-step explanation:
Solve for b.
-7b – 12 = -61
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-7b - 12 = -61}[/tex]
[tex]\large\textsf{ADD 12 to BOTH SIDES}[/tex]
[tex]\mathsf{-7b - 12 + 12 = -61 + 12}[/tex]
[tex]\large\textsf{CANCEL out: -12 + 12 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: -61 + 12 because it helps solve for your b-value}[/tex]
[tex]\mathsf{-61+12=\bf -49}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{-7b = -49}}[/tex]
[tex]\large\textsf{DIVIDE -7 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-7b}{-7}=\dfrac{-49}{-7}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{-7}{7}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{-49}{-7}}\large\textsf{ because that gives you your b-value}[/tex]
[tex]\mathsf{\dfrac{-49}{-7}= \bf b}[/tex]
[tex]\uparrow\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}\uparrow[/tex]
[tex]\mathsf{-49\div -7= \bf 7}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf b = 7}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Im being asked to put this in simplest form can anyone help me?
What is 0.57 (7 repeating) expressed as a fraction in simplest form?
Answer:
57/100
Step-by-step explanation:
look it up
A pizza has a diameter of 14 inches
Which measurement is closest to the area
of the pizza in square inches?
A) 13644 in?
B) 153 86 in?
C) 182 14 in
D) 608 62 in
E) 616 55 in
F) None of the above
NEED HELPPPPP LOL XDDDDD OH MY GODDD
Answer:
yo w t f is thisssssss
Step-by-step explanation:
b c idek im so cluless rn im in 7th grade XD
bestiess helpssss plsss
Please help me with this homework
Answer:
C.
Step-by-step explanation:
The pythagorean theorem shows a^2+b^2=c^2.
a=8, b=15, c= the unknown distance
8^2+15^2=c^2
What is the distance between the points (5, -1) and (5,
3)
By using distance formula (which is attached below), you can solve this problem:
√(x2-x1)^2+(y2-y1)^2
(5, -1) and (5, 3)
√(5-5)^2+(3-(-1))^2
√0^2+4^2
√0+16
√16
4
The distance between the two points is 4.
A ball is thrown from the initial height of 3 feet with an initial upward velocity of 29 feet. the ball's height h (in feet) after t seconds is given to determine how long will it take for the ball to hit the ground?
Answer:
0.64
Step-by-step explanation:
NO LINKS The circumference of a circle is 36 feet. What is the length of the radius of this circler
O 9 ft
18 ft
36 ft
O 72 ft
Thank you so much for your help! :)
Answer:
18ft
Step-by-step explanation:
Formula of circumference * r x r x 3.14* or d x 3.14*
:DDD And ye glad I could help!
Find the y-intercept of the parabola y = x2 + 6x.
Can somebody help?
Given:
The equation of the parabola is:
[tex]y=x^2+6x[/tex]
To find:
The y-intercept of the parabola.
Solution:
We have,
[tex]y=x^2+6x[/tex]
Putting [tex]x=0[/tex] in the given equation, we get
[tex]y=(0)^2+6(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
Therefore, the y-intercept of the parabola is 0. It means the y-intercept of the given parabola is at point (0,0).
HELP HELP ME WITH THIS PLSSS!!!!
Answer:
B, C, D, A, E
Step-by-step explanation:
hope it helps
Answer:
B,C,D,A,E
Step-by-step explanation:
Which expression is equivalent to 1/2(6x+12)?
A.) 3x+12
B.) 3x+14
C.) 6x+14
D.) 12x+1
Please give me the answer and explanation .
Answer:
What is the question though?? Pls send an attachment on an new question :))
Step-by-step explanation:
Solve for m.
3m = 15
A. m = 45
B. m = 35
C. m = 12
D. m = 5
Answer:
D.
Step-by-step explanation:
Have a Nice Day
Answer:
it's D.
Step-by-step explanation:
PLEASEEEEEE SAVE ME FROM THIS NIGHTMARE
Answer:
⅓ chance
Step-by-step explanation:
all fish together there are 15 fish, 10 are large. 5 of those 10 are red, so 5 total out of 10 fish are red and large. 5/15 simplified is ⅓
The owner of a flower shop on H street sells 28 roses for $140. What is the cost in dollars per rose?
Answer:
$5 ( sorry if it is incorrect)
Step-by-step explanation:
An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
Find the mode, median, mean and range for this set of data.
Number of Hours Slept: 8.5, 7,6.75,5.75, 8.75,6.25,7,7.5, 4.25
Central Tendency is the statistical measure that can be used to represent all the distribution or a dataset using a single value. The most common measures of central tendency are the mode, median, and mean.
How to determine this
Mode is the value that has the highest frequency in a given data set.
So,
8.75 the highest frequency in the data set
Mode = 8.75
Median is the middle of a sorted list of numbers when arranged in ascending order.
So,
4.25, 5.75, 6.25, 6.75, 7, 7, 7.5, 8.5, 8.75 in ascending order
Median = 7
Mean is the average or the most common value in a given set of values.
Mean = 8.5 + 7 + 6.75 + 5.75 + 8.75 + 6.25 + 7 + 7.5 + 4.25/9
Mean = 61.75/9
Mean = 6.8611
Mean = 6.86 to 2 decimal place
Range is the difference between the highest value and lowest values.
Range = Maximum value - Minimum value
Range = 8.75 - 4.25
Range = 4.5
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