The time spent for each activity can be found writing an equation based on
the known parameters.
The duration of the time Stanley spent running is 1.5 hoursThe duration of the time Stanley spent swimming is 1 hourThe duration of the time Stanley spent Biking is 3 hoursThe distance Stanley cover while biking is 48 milesReasons:
The running speed = 9 mph
The biking speed = 16 mph
Swimming speed = 2.5 mph
The time spent running = 0.5 hour + Time spent swimming
Biking time = 2 × Running time
The total distance covered = 64 miles
Required:
Time spent running, swimming, and biking
Solution:
Let t represent the time Stanley spent swimming, we have;
(t + 0.5)·9 + 2.5·t + 2×(t + 0.5)×16 = 64
43.5·t + 20.5 = 64
43.5·t = 64 - 20.5 = 43.5
[tex]t = \dfrac{43.5}{43.5} = 1[/tex]
The time Stanley spent swimming, t = 1 hourThe time Stanley spent running = 0.5 + t
Therefore;
The time spent running = 0.5 hour + 1 hour = 1.5 hour
Time spent running = 1.5 hoursTime spent biking = 2 × Running time
Therefore;
Time spent biking = 2 × 1.5 hours = 3 hoursThe distance Stanley cover while biking, d = 3 × 16 mph = 48 milesLearn more here:
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Which pair of
Traingle can be proved counter to bySSS
Answer:
all three pairs of sides are congruent
Giving brainliest for number 31
Answer:
b, d, c
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
f(x)=x²-x
#CarryOnLearning
hopeithelps,,thanks
What is the HCF of two consecutive odd numbers? for 50 points
Answer:
The HCF of two consecutive odd number is 1.Step-by-step explanation:
What is the HCF of two consecutive odd numbers?
The HCF of two consecutive odd number is 1.
{-13,-2,9,20,31,…} which term in this sequence is 306
Given :-
-13,-2,9,20,31 . . . . .To find :-
which term in this sequence is 306 .Solution :-
Common difference ,
d = 31 - 20 d = 11As we know that ,
Tⁿ = a + (n-1)d 306 = -13 + (n-1)11306+13 = (n-1)11319/11 = n-129 = n -1 n = 30Answer:
30th
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 2 - (- 13) = 9 - (- 2) = 20 - 9 = 31 - 20 = 11
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 13 and d = 11 , then
[tex]a_{n}[/tex] = - 13 + 11(n - 1) = - 13 + 11n - 11 = 11n - 24 ← equate to 306
11n - 24 = 306 ( add 24 to both sides )
11n = 330 ( divide both sides by 11 )
n = 30
The 30th term is 306
9
Mark studied a group of 30 whales. If each wale weighed approximately 380,000 pounds, find
the total weight of all 30 whales. Express your answer is standard form.
Answer:
11400000
Step-by-step explanation:
1 whale = 380000 lbs
30 whale weighs 380000×30
30 whales = 11400000
3v + 7v + 9v =3 v+7 v+9 v=
Answer:
I cant help you
Step-bBecause i just c
y-step explanation:
need help desperately.. y – 2.234 = 7.92
Answer:
251,734.
Step-by-step explanation:
the volume of a cube is increasing at the rate of 12 in^3/min. how fast is the surface area increasing in square inches per minute, when the length of an edge is 20in.?
We want to find the rate of change of the surface for a cube of increasing volume.
When the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.
We know that for a cube of side length S, the volume is:
V = S^3
And the surface area is:
A = 6*S^2
Here we know that the volume increases at a rate of 12in^3/min.
Because the volume depends on the side length cubed, we can say that the side length increases at a rate of:
∛(12in^3)/min = 2.29 in/min
Then, as a function of time t in minutes, we can write the side length as:
S(t) = (2.29 in/min)*t
Then the surface area equation is:
A(t) = 6*((2.29 in/min)*t)*((2.29 in/min)*t)
A(t) = (31.46 in^2/min^2)*t^2
The rate of change is given by direct differentiation, we get:
A'(t) = 2*(31.46 in^2/min^2)*t
Now we need to evaluate this in the value of t such that the side length is equal to 20 in:
S(t) = 20in = (2.29 in/min)*t
(20in)/(2.29 in/min) = t = 8.73 min
Then we will get:
A'(8.73min) = 2*(31.46 in^2/min^2)*8.73min = 439.29 in^2/min
This means that when the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.
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A new car sells for $27,300. It exponentially depreciates at a rate of 6.1% to $22,100. How long did it take for the car to depreciate to this amount? Round your answer to the nearest tenth of a year. fill in the blank 1
Answer:
3
Step-by-step explanation:
27300 * (1-6.1%)^n = 22100,
n∈(3,4)
when n = 3,≈22603;
when n = 4,≈21224;
so choose n = 3.
Therefore, it takes car to depreciate to this amount is [tex]3[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
A new car sells for $[tex]27,300[/tex]. It exponentially depreciates at a rate of [tex]6.1[/tex]% to $[tex]22,100[/tex].
So, the equation is
[tex]27300(1-6.1)^n=22100\\\\[/tex]
when [tex]n[/tex] belongs to [tex](3,4)[/tex]
when [tex]n=3\\[/tex]
The equation would be
[tex]27300(1-6.1)^3=22100\\\\=22603[/tex]
When
[tex]n=4\\27300(1-6.1)^4=22100\\=21224[/tex]
So, the time it takes to depricate to the given amount is [tex]22603[/tex] when [tex]n=3[/tex].
Hence, it takes car to depreciate to this amount is [tex]3[/tex].
To know more about the simplification
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The ratio of green pepper plants to red pepper plants in Adeline's garden is 3 to 5. If there are 20 red pepper plants, how many green pepper plants are there?
A. 35
B. 16
C. 12
D. 6
place the boxes in the correct location this Math problem 15 points
Answer:
but where is the question please type your full questions
HELP PLZ ASAP!!!!
A landfill has 60,000 tons of waste in it. Each month it accumulates an average of 360 more tons of waste. What is a function rule that represents the total amount of waste after m months? Let W represent the total amount of waste and m represent months.
A. W= 360m + 60,000
B. W= 60,000m + 360
C. W= 360m - 60,000
D. W= 60,000m - 360
Answer:
Step-by-step explanation:
Your answer is A.
Anytime you have a variable or something that changes such as the month that is a variable so that means its going to be your x/m in this case
In Bobby's grade, 679 students are enrolled in health and 21 students are not. What percentage of the students in the school are enrolled in health? Write your answer using a percent sign (%).
97.07%
Step-by-step explanation:
total number of students is
696+21=717
696/717×100=97.07
answer is 97.07%
-8+r>-8
please show work
Hello there!
-8+r>-8
Move all the numbers to the right:
r>-8+8
r>0
Hope it helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
help with 14 please!!! please also explain!!
Answer:
f = ab/(a + b)Step-by-step explanation:
#14Given:
1/f = 1/a + 1/bSolving for f:
1/f = b/ab + a/ab1/f = (a + b)/ab cross - multiplyf(a + b) = ab divide by (a + b)f = ab/(a + b)If you divide 60 liters into 10 parts, there will be 6 liters each. How many liters would there be if you had 7 of these groups?
Answer:
I'm pretty sure 70 liters
Step-by-step explanation:
because 60÷10=6
so 70÷10=7
fourth degree and a single zero of -3
The degree of a polynomial is the highest power of the polynomial.
The polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
The degree is given as:
[tex]\mathbf{n = 4}[/tex]
The zero is given as:
[tex]\mathbf{x = -3}[/tex]
Add 3 to both sides
[tex]\mathbf{x + 3= 0}[/tex]
From the question, we understand that the polynomial has a single zero.
So, the polynomial is:
[tex]\mathbf{P(x) = (x + 3)^n}[/tex]
Substitute 4 for n
[tex]\mathbf{P(x) = (x + 3)^4}[/tex]
Hence, the polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
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The formula E =1/2 kx^2gives the potential energy E of a spring with spring constant k that has
been stretched by length x. Solve the formula fork to find the constant of a spring with a iven
potential energy and stretch.
Answer:
[tex]k = 2E/x^2[/tex]Step-by-step explanation:
Given formula:
[tex]E = 1/2kx^2[/tex]To solve for k, multiply both sides by 2 and divide by x²:
[tex]2E=kx^2[/tex][tex]k = 2E/x^2[/tex]Answer:
[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]
Step-by-step explanation:
The formula given is :
[tex]\sf\longmapsto \: E = \frac{1}{2} kx²[/tex]
Now, multiply (×) both sides by 2 and divide (÷) by x^2
[tex]\sf\longmapsto \: 2E = kx²[/tex]
[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]
Which graph represents the function f(x)=0.5x+4?
Which graph represents the function f(x)=−2x−1?
Answer:
Step-by-step explanation:
1.)The 4th picture will be the correct one.
Step-by-step explanation:
The first picture shows the graph of f(x) and in the options there are pictures of graph of g(x) = f(x) -1
So, it is clear from the equation of the functions that the graph of f(x) and g(x) will be similar but the the y value in g(x) will be 1 less than the y value in f(x) corresponding to a certain x value.
So, the graph will translate down by 1 unit.
Therefore, the 4th picture will be the correct one.
2.)-(2^x) - 1 will have a y-intercept of -1-1 = -2, a horizontal asymptote of y=-1, and will be decreasing everywhere. The third selection is the graph that has these characteristics.
Answer:
graph 4
Step-by-step explanation: because I love you <3 ;)
In pack of ten books, three are geometry books while the rest are book on algebra. If three books are drawn at random, what is the probability that one of them is geometry book and the others are book on algebra
Answer:
21/40.
Step-by-step explanation:
There are 3 geometry and 7 algebra books.
If the geometry book is drawn first probability = 3/10
If the second is algebra P = 7/9.
If the third is algebra P = 6/8 = 3/4.
So the probability of all three being drawn in this order = 3/10 * 7/9 * 3/4
= 63/360
= 7/40.
Now there are a total of 3 ways in the order they are drawn, That is:
GAA
AGA
AAG.
So the required probability = 3 * 7/40
= 21/40.
Find the product of 44.6 and 2.34.
Answer:
104.364
Step-by-step explanation:
Product means multiplication so:
44.6×2.34 = 104.364
1. In the end of semester examination, 32% students failed in Economics, Mathematics, 46%in Business, 12% in Economics and Mathematics, 9% Mathematics and Business, 10% in Economics and Business and 3% in all the three. Using Venn diagram, determine, i. Number of students that failed in exactly one course. ii. Number of students that failed in exactly two courses. iii. Number of students who passed in all the three courses. iv. Number of students who failed in at least one course.
(ii) 3% of students failed all three courses, 12% failed economics and mathematics, 9% in math and business, and 10% in econ and business. In other words, the students in these groups failed at least the two mentioned courses. Then 12% - 3% = 9% failed only econ and math but not business; 9% - 3% = 6% failed math and business but not econ; and 10% - 3% = 7% failed econ and business but not math. These groups are mutually exclusive, so the total percentage of students that failed exactly two courses is (ii) 9% + 6% + 7% = 22%.
32% failed econ, which means 32% - 12% - 10% + 3% = 13% failed only econ. Similarly, 46% failed business, so 46% - 9% - 10% + 3% = 30% failed only business. But we don't know how many students failed math, so we can't determine how many failed only math... And consequently we can't determine the proportion of students that make up the other categories.
Pokyaa is 11 years older than Afriyie, if altogether the two sisters age is 52, what is Pokyaa's age?
Pokyaa is 31 years, 6 months, while Afriyie
is 20 years, 6 months
The age of Pokyaa's such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's assume that the age of Pokyaa is P while the age of Afriyie is A.
As per the given,
Pokyaa is 11 years older than Afriyie
Therefore, P = 11 + A
Altogether P + A = 52
Substitute,A = 52 - P into P = 11 + A
P = 11 + (52 - P)
P = 11 + 52 - P
P + P = 63
2P = 63
P = 32.5 ⇒ 31 years and 6 months.
Hence "The age of Pokyaa such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old".
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pls I need help pls I need it
Answer:
You would need 23 inches to build it
Find 178 ÷ 8.
22 R1
23 R2
22 R2
Answer:
22. R2
Step-by-step explanation:
Answer:
22 R2.
Explanation:
I used the method of long division.
Please mark BRAINLIEST, I'll follow you.
Plz help I need help
Answer:
Not proportional
Step-by-step explanation:
This is because there is not an equal about of feet per day
Write the equation in point slope form
Answer: X=4/2x+3
Step-by-step explanation:
I just know
Select the values that are solutions to the inequality x2 + 3x – 4 > 0.
–6
–2
0
5
the answer to this question is -6&5
Khali has a box with the dimensions shown. He plans to cover the box with glitter What is the total surface area to be covered with glitter? Show your work
Answer:
162
Step-by-step explanation:
4.5x9x4
pls help i am in k12
What is the slope of Car A’s graph? What does it mean?
(b) What is the slope of Car B’s table? What does it mean?