Answer:0.16666
Step-by-step explanation:
As we know that
Therefore, 1/6 or 0.16666... can be written rounding off to three decimal digits such as: 0.1666... 0.167 (rounding off to three decimal digits)
The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will the car be worth each of the following amounts?
(a) $8000
(b) $6000
(c) $1000
- The car will be worth $8000 after years.
(Type an integer or a decimal rounded to the nearest tenth as needed.)
Answer:
a) The car will be worth $8000 after 2.9 years.
b) The car will be worth $6000 after 4.2 years.
c) The car will be worth $1000 after 12.7 years.
Step-by-step explanation:
The value of the car after t years is given by:
[tex]V(t) = 14651(0.81)^{t}[/tex]
According to the model, when will the car be worth V(t)?
We have to find t for the given value of V(t). So
[tex]V(t) = 14651(0.81)^{t}[/tex]
[tex](0.81)^t = \frac{V(t)}{14651}[/tex]
[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]
(a) $8000
V(t) = 8000
[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]
The car will be worth $8000 after 2.9 years.
(b) $6000
V(t) = 6000
[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]
The car will be worth $6000 after 4.2 years.
(c) $1000
V(t) = 1000
[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]
The car will be worth $1000 after 12.7 years.
The Reeds are moving across the country. Mr. Reed leaves 4.5 hours before Mrs. Reed. If he averages 40mph and she averages 60mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed?
Answer:
Mr. Reed DATA:
rate = 40 mph ; time = x hrs ; distance = 40x miles
-----
Mrs. Reed DATA:
rate = 60 mph ; time = x - 3.5 hrs ; distance = 60x - 210 miles
Equation:
40x = 60x -210
-20x = -210
x = 10.5 hrs
x-3.5 = 7 hrs (Mr. Reed's time)
Step-by-step explanation:
can you help me please? https://brainly.com/question/22819277
a group of marine biologists on a marine Expedition recorded the altitudes which they found for animals which inequality correctly compares the altitudes of which they found the animals
Answer:
garden eel < great white shark < sea urchin < sea turtle
Step-by-step explanation:
A poll was conducted during the final game of the basket season to determine whether fans wanted to see the defending champions win the game or the challenging team win the game. From the poll, 216 of the 374 residents sampled from urban areas want the defending champions to win the game. In more rural areas, 304 of the 466 residents polled want the defending champions to win the game. Assuming lo an has nothing to do with team preference, the probability that the data gathered was the result of chance is calculated to be 0.03. What is the correct interpretation of this calculation?
There will be a significant difference between the two proportions. A further explanation is given below.
As shown by the data, families in remote regions are much more likely to desire the protecting winners to control the tournament than individuals throughout large cities, and this difference is statistically substantial.Throughout this case, it's because the p-value of further 0.03 would be significantly less than the threshold of 0.05 significance. As a result, we may claim that perhaps the results are statistically significant at such a 0.05 range.
Thus the above is the appropriate solution.
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HELP ASAP!!!!! When you provide feedback on another student's essay, what is the best way to start? Compare the essay to your own approach to writing. Summarize what you like most about the essay. Explain everything that's not working in the essay. List all of the grammar and spelling mistakes you found.
Answer:
the best way when I get 100% on them is to explain your view like I disagree with this statement because or agree with this statement and for the conclusion in conclusion of all the facts and statement we have viewed.
pls me with this maths assignment
Answer:
56ft
Step-by-step explanation:
5+4+12+11+16+8=56
At a party, if 1/5 of one sheet
cake is uneaten and Tom eats
1/6 of the uneaten cake, what
fraction of the original cake
did Tom eat?
Answer:
Step-by-step explanation:
He eats 1/6 or 1/5 of the original cake.
All you need to do to get the answer is multiply the denominators.
1/5 * 1/6 = 1/30
If there was something in the numerators. you would multiply them too.
So suppose the two fractions were 3/5 and 2/7
The answer would be 3 * 2 / 5 * 7 = 6 / 35
General rule
When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).
ANSWER AND STEPS PLEASE
A container that holds wheat is shaped like a cone. The diameter of the base of the container is 21 and 3/4 feet, and the height of the container is 10.3 feet.
Which measurement is closest to the volume of the container in cubic feet?
Answer choices:
A. 15,307.55 ft3
B. 1,275.63 ft3
C. 5,102.52 ft3
D. 3,826.89 ft3
Answer:
answer is b.
Step-by-step explanation: use formula
V=1/3(hπr²)
so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3
Which of the following scenarios shows a value of 0.4? Select all that apply.
A.
Jesse sold 40 out of 60 items at a garage sale.
B.
Jesse rode 4 out of 10 miles on his bike.
C.
Jesse finished 40 out of 100 math problems.
D.
Jesse ate 4 out of 100 jellybeans.
E.
Jesse returned 4 out of 8 library books.
Answer:
D and B
Step-by-step explanation:
The scenarios which gives a value of 0.4 is depicted by the equations B and C
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
a)
Jesse rode 4 out of 10 miles on his bike.
So , the fraction is A = 4/10 = 0.4
b)
Jesse finished 40 out of 100 math problems.
So , the fraction is A = 40/100 = 0.4
Hence , the equation is A = 0.4
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Which function shows the function f(x) = 3^x being
translated 5 units to the left?
A. f(x) = 3^x – 5
B. f(x) = 3^(x+5)
C. f(x) = 3^(x - 5)
D. f(x) = 3^x + 5
Answer:
B.
Step-by-step explanation:
When you want to move a function on a graph from left to right, you "move" the x, and when moving the x; it's the opposite. So, C would move the function 5 units to the right because it is subtracting.
The correct option will be f(x) = 3^(x - 5)
What is translation?A translation is a transformation that moves every point in a figure the same distance in the same direction.
Given that, the function f(x) = 3ˣ, being translated 5 units to the left.
Since, the function is being translated in left, therefore, we subtract 5 from x,
i.e. f(x) = 3⁽ˣ⁻⁵⁾
Hence, f(x) = 3⁽ˣ⁻⁵⁾ is the function shows the function f(x) = 3ˣ being
translated 5 units to the left.
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ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
120%
B
C
Angles are not drawn to scale.
Enter
Answer:
the answer woiuld be 60
Step-by-step explanation:
supplementary angles are 180
180-120=60
x=60
Which chocolate chip cookies have the greater spread in the number of chips per cookie?
is it
Regular
OR
Reduced Fat
Answer:
Reduced fat had the greater spread.
Step-by-step explanation:
*20 POINTS* find the value of x ? x = ___
Answer:
5
Step-by-step explanation:
In the polyhedron above x=5 mm, y=9 mm, and z=4 mm. The volume of the polyhedron is _____ mm3. Round your answer to the tenths place.
Answer:
180 mm³
Step-by-step explanation:
The polyhedron is an oblique rectangular prism
Area of the oblique rectangular prism = base area * height
height = z = 4 mm
Base area = L*W
L = y = 9 mm
W = x = 5 mm
Base area = 9*5 = 45 mm²
Area of the oblique rectangular prism = 45*4 = 180 mm³
I need an answer! pls ill brainlist
Answer:
die
Step-by-step explanation:
so in order to die you must die
hi can you please help me with my work
What is the value of k?
k = 28
k = 29
k = 31
k = 42
Answer:
k=29
Step-by-step explanation:
we know that
-------> by supplementary angles
Solve for k
Combine like terms in the left side
Substract both sides
Divide by both sides
therefore
the answer is the option
B
How many 18-pound patties can she make from 78of a pound of hamburger? We can 7 patties out of 78pound of hamburgers
Answer: 4.3
Step-by-step explanation:
she can make 4.3, 18 pound patties out of a 78 pound of hamburger
HELP ASAPP! WILL GIVE MOST BRAINILIST
Answer:
6/7 or 85.7%Step-by-step explanation:
As per table experimental probability of sum of two numbers > 5 is 6 out of 7.
So in number, the probability is:
p = 6/7 or 85.7%1.6 x 0.7 =
plsss help
Answer:
1.12
Step-by-step explanation:
Answer:
1.12
Step-by-step explanation:
A bear weighs 4,521 grams. How much does the bear weigh in kilograms
Answer:
A bear weighing 4,521 grams would weight 4.521 kilograms
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
8
9
HELP:
pls help now.....
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
imagine you fold on each line. the one that will fold evenly is line C.
Justin and Dan ordered a pizza Justin ate 1/4 and ate 3/8 of the pizza what fraction of the pizza is left please show how you got the answer
Answer:
3/8
Step-by-step explanation:
1. Display your knowledge to the problem
You know that a whole pizza must be 8/8 slices, right? And you know that Justin ate 1/4 of the pizza and Dan ate 3/8. Good, that's all you need to know so far.
2. Add 1/4 and 3/8
You have to figure out how much they ate all together. First, find a common denominator. Let's do... hmmm, 8 is perfect! 3/8 is already in its simplest form but what about 1/4? Well, 1/4 is 2/8 in simplest form. There we go! And 3/8 plus 2/8 is 5/8!
3. What's left of the pizza?
Well, we have 5/8 eaten and in whole, there's 8 slices, so that must mean 3 slices are still there and haven't been eaten yet! 3 slices = 3/8
Hope that helps!
Find the slope of the line passing through the points (2,-9) and )1,-3)
Answer:
5
Step-by-step explanation:
Slope = (-3 - 2) / (1 - 2) = -5 / -1 = 5
Hi there!
[tex]\large\boxed{\text{slope =} 6}[/tex]
We can calculate slope using the following formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the corresponding points:
[tex]slope = \frac{-9-(-3)}{2-1}[/tex]
Simplify:
[tex]slope = \frac{-6}{1} = -6[/tex]
pls answer fast will give branliest
if u send links will report so mf fast
Answer:
m∠1= 17°
m∠2=73°
m∠3=90°
m∠4=51°
m∠5=17°
m∠6=129°
Step-by-step explanation:
Hope it helps...
Have a great day!!
Of nine executives in a business firm, four are married, three have never married and two are divorced. Three of the executives are to be selected for a promotion. Let Y1 denote the number of married executives and Y2 be the number of never-married executives among the three selected for promotion. Assuming that the three are randomly selected from the nine available.
a. Find the joint PMF for y1 and y2
b. Find the marginal probability distribution of y1
c. If we let y3 denote the number of divorced executives among the three selected for promotion. Find P(y3 =1 | y2 = 1)
d. Are Y1 and Y2 independent? Why?
e. Find cov(Y1,Y2). Does the sign surprise you? Why?
Answer:
werere
Step-by-step explanation:
were
find the least whole number which must be added to 207 to make it divisible by 17 please no links brainliest
Answer:
14
Step-by-step explanation:
I am preatty sure its 14 hope this helps
help me with this please real quick
Answer:
a is correct
Step-by-step explanation:
sides get reduced by a half
angles don't change
Answer:
The Answer is A)
Step-by-step explanation:
sides get reduced by a half
angles don't change AND CAN YOU MAKE ME THE BRAININIEST.
Find two rational numbers between -1,36 and -1,35
Step-by-step explanation:
-1,355= -1355/1000
-1,352= -1352/1000