Answer:
Step-by-step explanation:
y = ab^x where 0<b<1 for exponential decay
an example would be y = 3(1/7)^x
The graph shows a trip taken by a car, where t is the time (in hours) and y is the distance
(in miles) from Phoenix.
a. Find the y-intercept of the graph. What does it represent?
b. Find the slope of the graph. What does it represent? c. How long did the trip last? d. How far from Phoenix was the car at the end of the trip?
e. Write an equation that represents the graph
Answer:
The answer is below
Step-by-step explanation:
The equation of a graph of a linear function is in the form:
y = mx + b;
where m is the slope of the graph, b is the y intercept, y and x are the variable.
Since y represent distance on y axis and t represent time on the x axis. We see that the graph passes the points:
(0, 100) and (6, 400). The equation of the graph is:
[tex]y-y_1=\frac{y_2-y_1}{t_2-t_1}(t-t_1) \\\\y-100=\frac{400-100}{6-0}(t-0)\\\\y-100= 50t\\\\y=50t+100[/tex]
a) The y intercept is 0. This means that initially the car is at 100 miles from Phoenix before the trip started. i.e. at 0 hours the distance is 100 miles.
b) The slope of the graph is 50. It means that the car traveled at a speed of 50 miles per hour
c) The end point of the graph is (6, 400), meaning the trip lasted 6 hours
d) The end point of the graph is (6, 400), meaning at the end of the trip, the car was 400 miles from Phoenix.
find area of trapezoid
Answer:
150 sqaure ft
Step-by-step explanation:
okay so the formula for area of a trapezoid is
1/2 (b1 + b2) h
so base one of 15 plus two of 10 os 25 ft
25 feet divided by 2 is 12.5 so 12.5 × 12 is 150
A local dump truck is carrying 13.4 tons of gravel. How many pounds is it hauling?
Answer:
26,800 pounds of gravel
Step-by-step explanation:
13.4 tons is equal to 26,800 pounds
I need to fill in the blank area models and the numbers I'm supposed to use are the factor and expended forms next to them please help
Answer:
2. x^2 -3x
-x 3
3. x^2 7x
-2x -14
Step-by-step explanation:
Im pretty sure this is right, but I am so sorry if it's not tho
What is the value of b?
Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the problem?
Answer:
5x - 9 = 2x + 23
Step-by-step explanation:
x = a number
5 times x = 5x
decreased by 9 = - 9
=
2 times x = 2x
increased by 23 = + 23
Answer:
Step-by-step explanation:
The answer is B. 5x – 9 = 2x + 23. i just took the test.
A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag
Answer:
0.59998
Step-by-step explanation:
Number of keys = 3
Number of coins = 7
Total = 10
Number of items taken out = 2
Expected number of keys taken out:
Let x = Number of keys taken out
X = 0
1st pick = 7/10
2nd pick = 6/9
7/10 * 6/9 = 0.46666
X = 1
(7/10 * 3/9) + (3/10 * 7/9) = 0.46666
X = 2
(3/10 * 2/9) = 0.066666
X : ____ 0 ______ 1 _______ 2
P(X): _0.46666__0.46666 _0.06666
Expected value :
(0*0.46666) + (1*0.46666) + (2*0.06666)
= 0.59998
A graph of a quadratic function
Answer:a
Step-by-step explanation:
I am expecting a if not, change the sighns.
Answer:
3
Step-by-step explanation:
The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 30 , P = 1260 . Work out the power when the speed is 25 m / s
Answer:
875 Watts
Step-by-step explanation:
Given that :
P α s²
P = ks²
Where k is the proportionality constant
When ; p = 1260 ; s = 30
1260 = k * 30²
1260 = 900k
k = 1260 / 900
k = 1.4
Value of p ; when s = 25
P = 1.4 * s²
P = 1.4 * 25²
P = 1.4 * 625
P = 875 watt
I WILL DO ANYTHING JUST PLEASE
Answer:
95 0r 91
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
trust me
A triangle with base 8.2 cm and height 5.1 cm has an area of.
Answer:
Triangle area = 20.91 cm^2
Step-by-step explanation:
area = 1/2(b*h)
area = 1/2(8.2*5.1)
area = 1/2(41.82)
area = 20.91 cm^2
write some thing good in answer.
Fro. there I will choose one and I will mark one person as a Brilliant.
So write fast it is valid till 15 days.
Answer:
You’re awesome.
Answer:
some thing good in answer.
The answer to this problem
Answer:
Check pdf
Step-by-step explanation:
Answer:
p ≥ − 9
Step-by-step explanation:
what is the 11.2???
can u pls help me with this question asap
Answer:
a.
Step-by-step explanation:
if the measures of the angles of a triangle are in the ratio 1: 2: 3 find the number of degrees in the smallest angle
Answer:
Smallest angle = 30
Step-by-step explanation:
Ratio = 1 : 2 : 3
Angles are x ,2x , 3x
Sum of all angles of triangle = 180
x +2x +3x = 180
6x = 180
x = 180/6
x = 30
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
3032 + 13251 – 8569
Answer:
bad expression
Step-by-step explanation:
13251+3032−8569=7714
A can of cat food costs $0.62. How much would it cost to buy 5 cans of cat food?
Answer:
3.1
Step-by-step explanation: muitply by 5
Jerry solved the equation 2x-4=20 by adding four 1-tiles to each side. Explain why Jerry's method works.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equation : 2x-4=20
By adding 4 1 - tiles to each side, this will eleminate the constant term on the left hand side where the Coefficient we wish to solve for lies. Hence, the same exact treatment given to data on the right hand side is done to the data in the left. Hence, the method will work as it will give ;
2x - 4 = 20
2x - 4 + 4 = 20 + 4
2x = 24 ( constant eliminated)
x = 24/4
x = 6
0/2
Sandy had one hundred fifty - five dollars to spend on eight books. After buying them she had eleven dollars. How much did each book cost?
Answer:
Each book costs $18.
Step-by-step explanation:
$155 - 11 = $144 left
$144/8 books = $18 per book
Hope this helps!
Answer:
155 minus the 11 she still had means she spent 144.
144 divided by 8 books comes to $18 per book, on average.
Find the area of the composite figure below.
Answer:
63 cm^2.
Step-by-step explanation:
Total Area = area rectangle + area of triangle on right + area of triangle at the top.
= 6 * 8 + 1/2 * 1 * 6 + 1/2 * 8 * 3
= 48 + 3 + 12
= 63 cm^2.
A 20-ounce bottle of lotion costs $4.00. How many ounces do you get for each dollar?
Answer:
You get 5 ounces per dollar
Answer:
You get 5 ounces for each dollar you spend in this deal
Step-by-step explanation:
If you were to put both of these numbers side by side and figure out how many times 4 goes into 20 that would be 5. Therefore you get 5 ounces for each dollar you spend.
Plss help !!!!!!!!!!!!!!!!
Answer: C (324)
Step-by-step explanation:
He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.
Answer:
C. 324 thats the answer my cousin solved this
You invest $1000 in each of two accounts. Account A earns simple interest at a rate of 2.42% over four years. Account B earns simple interest at a rate of 2.42% over 24 months. Find the interest earned by the 2 accounts. HELP PLEASE
Answer:
Acct A $96.80
Acct B $48.40
Step-by-step explanation:
I = PRT
Acct A I = 1000(.0242)(4)
= $96.80
Acct B I = 1000(.0242)2)
= $48.40
Felipe grows tomatoes.
0
20
60
80
The box plot shows information about
the weights of Felipe's tomatoes.
40
Weight (grams)
Felipe says “at least half of my tomatoes weigh more than 50 grams each".
a) Which of the statements below describes Felipe's statement best?
A- He is correct because the Median weight is 48 grams.
B - He is wrong because the Median weight is above 50 grams.
C - He is correct because the Median weight is 56 grams.
(1)
b) Work out the range of weights of Felipe's tomatoes.
(1)
c) Work out the interquartile range of weights of Felipe's tomatoes.
(1)
Answer:
a) c
b) 62
Step-by-step explanation:
He is correct because the Median weight is 56 grams.
Option C is the correct answer.
The range of weights of Felipe's tomatoes is 62.
The interquartile range of weights of Felipe's tomatoes is 44 grams.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
From the box plot,
Median = 56 grams
Now,
The statement that Felipe describe is correct because the median weight of 56 grams.
The range of the weights of the tomatoes.
= Highest value - Lowest value
= 78 - 16
= 62
The interquartile range of weights of Felipe's tomatoes.
= Upper quartile - Lower quartile
= 72 - 28
= 44 grams
Thus,
Median weight = 56 grams.
Range = 62
Interquartile range = 44 grams.
Learn more about median here:
https://brainly.com/question/28060453
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Help! Find the domain of the graph
Answer:
[-8,4]
Step-by-step explanation:
you look at the x-axis. The end points of the graph are -8 and 4, thus the domain would be [-8,4] as it is always written in left to right or bottom to top value.
hope it helps.
A city has a population of 220,000 people. Suppose that each year the population grows by 3.75%. What will the population be after 9 years? How many people
Answer:
294250 people will be there after 9 years if the population is increased 3.75% annually.
Step-by-step explanation:
First, 3.75% of 220000
then multiply the answer with 9.
again add the answer with 220000.
hence your answer came.
try it. Hope it helps
Q1.) The trail mix contains 2 1/2 cups of peanuts, 2 cups of raisins, 2 cups of pretzel sticks, and 1.5 cups of
banana chips. What percent of the mix are raisins?
Answer:
25% of the mix is raisins
Fill in the blanks to the picture above
Answer:
The answer is B, 6x^2 - 21x + 15
Step-by-step explanation:
= (3x + − 3) (2x + − 5)
= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)
= 6x^2 − 15x − 6x + 15
= 6x^2 − 21x + 15
- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.
The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the field?
80 ft
100 ft
120 ft
140 ft
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
The length of the field is 120 feet.
Option C is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Let's start by using the given information to set up two equations:
Let x be the length of the field in feet.
Then, the width of the field is x - 20 feet.
The area of the field is given as 12,000 square feet:
x (x - 20) = 12,000
Expanding the left side of the equation, we get:
x² - 20x = 12,000
Bringing all the terms to one side, we get:
x² - 20x - 12,000 = 0
Now, we can solve this quadratic equation using factoring,
Completing the square, or the quadratic formula.
Here, we will use factoring:
x² - 20x - 12,000 = 0
(x - 120) (x + 100) = 0
The solutions are x = 120 and x = -100, but a negative length doesn't make sense, so we reject that solution.
Therefore,
The length of the field is 120 feet.
To check, we can substitute x = 120 into the equation for the width:
Width = x - 20 = 100 feet
Area = Length x Width
= 120 ft x 100 ft
= 12,000 sq ft
Thus,
The length of the field is 120 feet.
Learn more about rectangles here:
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HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!