Answer:
v1 t = distance Bob travels
v2 t + 20 = distance opponent travels
v1 t = v2 t + 20
t = 20 / (v1 - v2) = 20 / (8 - 6) = 10 sec
In 10 sec Bob runs 80 m
In 10 sec opponent runs 20 + 60 m = 80 m
PLS HELP
Find the volume.
Answer:
V= 160 ft
Step-by-step explanation:
First 10×8×6 then ÷ 3 = 160
If triangle ABC has the following angle measurements, what is the measure of Angle A, Angle B, and Angle C?
m\angle A=7x-12m∠A=7x−12
m\angle B=8x+20m∠B=8x+20
m\angle C=5x+8m∠C=5x+8
m∠A=
m∠B=
m∠C=
the answer for this equation is 499 + 199 equals 599
how many ways can three people be selected from a group of seven people if order does matter
Answer:
210 ways
Step-by-step explanation:
Given
[tex]n = 7[/tex] --- total
[tex]r = 3[/tex] --- selection
Required
In how many ways can be selection be done
Since orders does matter, then it is permutation.
This is calculated as:
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
So, we have:
[tex]^7P_3 = \frac{7!}{(7-3)!}[/tex]
[tex]^7P_3 = \frac{7!}{4!}[/tex]
Solve each factorial
[tex]^7P_3 = \frac{7*6*5*4!}{4!}[/tex]
[tex]^7P_3 = 7*6*5[/tex]
[tex]^7P_3 = 210[/tex]
Which of the following points are solutions to the equation 3x - 4y - 8 = 12?
Select all that apply.
(0-5)
(82)
(-16-17)
(-1,-8)
(-40,-34)
Sorry I did it wrong.
Answer:
(0, -5) and (-16, -17)
Step-by-step explanation:
You can plug in the points into the function to test them.
(0, -5)
3(0) - 4(-5) - 8 = 12
20 - 8 = 12
12 = 12
(8, 2)
3(8) - 4(2) - 8 = 12
24 - 8 - 8 = 12
8 ≠ 12
(-16, -17)
3(-16) - 4(-17) - 8 = 12
-48 + 68 - 8 = 12
12 = 12
3(-1) - 4(-8) - 8 = 12
-3 + 32 - 8 = 12
21 ≠ 12
3(-40) - 4(-34) - 8 = 12
-120 + 136 - 8 = 12
8 ≠ 12
If you have 10 tennis players in a round-robin tournament. How many games will they need to play before each player has played every other player?
Answer:
6
Step-by-step explanation:
i just had the same question :)
Function f is differentiable and decreasing for all real numbers. If y=f(2x^3 - 3x^2), for which of the following intervals of x will the value of y NOT be decreasing?
Answer:
The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.
A tour helicopter travels at a constant rate of 80 mph. If the tour takes 2 hours, how far does the helicopter travel?
A. 40 mi.
B. 80 mi.
C. 120 mi.
D. 160 mi.
Answer:
D
Step-by-step explanation:
80 miles per hour, each hour it will travel 80 miles so for two hours tou do
80 x 2 = 160
Answer:
D
Step-by-step explanation:
80x2=40
it's just simple multiplecation but then again I cant spell multiplication so I mean
Tools
Fill &. Sign
Comment
I
Topic: Profit and Loss
Ex: 7a, page no. 92
cost price
12
Q1. A man purchased a dozen pens for Rs 25 each and sold them at Rs 28
each. Find the total profit as well as the profit per cent on the transaction.
Ans. Solution:
Answer:
RS 36
12%
Step-by-step explanation:
Profit = total selling price - cost price
(28 - 25) x 12 = 36
Percentage profit = (profit / cost price) x 100
Cost price = 25 x 12 = 300
(36/300) x 100 = 12%
There are only five possible shapes for a die, if the die is to be considered fair. A fair die means each face has the same shape and the same possibility of appearing on every roll. The five possible shapes are
Tetrahedron: Cube: Octahedron: Dodecahedron: Icosahedron:
If you had five dice, each die being one of the five shapes above with each side containing a number, how many combinations are possible if you were to roll the five dice at the same time? (3 points)
4 faces, each face is an equilateral triangle 6 faces, each face is a square 8 faces, each face is an equilateral triangle 12 faces, each face is a regular pentagon 20 faces, each face is an equilateral triangle
Answer:
46080Step-by-step explanation:
Number of possible combinations:
4*6*8*12*20 = 46080Answer:
Solution given:
Number of possible combinations:
4×6×8×12×20 = 46080 faces
The origin of a coordinate plane is (0,0)
True or False
Answer:
true
hope it is helpful to you
Answer:
The Answer is gonna be True
The results of a coin toss are shown.
What is P(heads)?
H T H H H T H T T H H T H T T T H H T H T T H H H H T H T T
A. 8/15. B.7/17. C.1/2. D3/5
Answer:
A is the answer!
Because that's reduced of 16/30
Help
See the picture
Answer:
114°
Step-by-step explanation:
The measure of the central angle is going to be the same as the arc, so the answer to this is 114°.
find the asymptotes, domain, range and end behavior and sketch the parent graph with the translated graph
Answer:
27) x = 2^(y) – 5.
Asymptote: x = -5.
D: x > -5; (-5, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
28) x = 2^-(y–3).
Asymptote: x = 0.
D: x > 0; (0, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → +infinity.
x → +infinity, f(x) → -infinity.
________________________
29) x = 4^(y–2) + 1.
Asymptote: x = 1.
D: x > 1; (1, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
The cost, C, to rent a car for d days is shown in the table. Days (d) Cost (C) 2 $105 4. $195 5 $240 6 $285
Write an equation that represents this function
Answer:
C = 45d + 15
Step-by-step explanation:
105= (45 x 2) + 15
The equation represents the condition of the function as a linear function. Then the linear equation is C = 45d + 15.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The cost, C, to rent a car for d days is shown in the table.
Days (d) Cost (C)
2 $105
4 $195
5 $240
6 $285
Then the linear equation of the given table will be
Let d be the number of days and C be the total cost.
[tex]\rm C - 285 = \dfrac{285-240}{6-5} (d-6)\\\\C - 285 = 45d - 270\\\\45d - C = -15 \\\\C - 45d = 15[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
dominic is buying candy by the pound for a party. for every 10 pounds of candy he buys, he pay $12. What is the cost of the candy, per pound, for the candy?
Answer:
12$
Step-by-step explanation:
Answer:
$1.20 per pound
Step-by-step explanation:
The reason for this answer is because you divide 10 by 10 so its 1 pound and whatever you do to the bottom you do to the top so you divide 12 by 10 which equals 1.2 aka $1.20
At a middle school, 24 of the 144 students speak Vietnamese. What is the ratio of students that do not speak Vietnamese to students who speak Vietnamese?
Answer:
1:6
Step-by-step explanation:
24 and 144 are divisible by 6. Do the math, it comes out as 1:6.
24:144 = 1:6
Calculate the area of the parallelogram.
Considering the provided information in the given question, we have :
Base of the parallelogram = 5.5 cmHeight of the parallelogram = 2.5 cmWe have to find the area of the parallelogram.
As we know that,
⇒ Area of parallelogram = Base × Height
Substituting the values,
⇒ Area of parallelogram = 5.5 cm × 2.5 cm
⇒ Area of parallelogram = 13.75 cm²
Therefore, area of the parallelogram is [tex] \bf 13.75 \: cm^2 [/tex]
A store pay $120 for a bicycle. The store has a 60% markup policy. What is the selling price of the bicycle?
Answer:
$192
Step-by-step explanation:
The sum of 3 consecutive even numbers is 78.
What is the second number in this sequence?
Answer: 10
Step-by-step explanation: 8+10+60=78
What is the factored form of 30x2 - 25x -30?
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
30x2 - 25x -30 Factoring
Step 2
30x2 - 25x -30 factor out the equation
5(3x+2)(2x-3)
Step 3
5(3x+2)(2x-3) Check by simplifying
When you check, you will get the question back
Answer
5(3x+2)(2x-3)
Hope this helps
Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R = L/k. For this exercise and the next, we suppose that at time t = 0, the forest floor is clear of litter.
Required:
If D is the difference between the limiting value and A, so that D = R - A, then D is an exponential function of time. Find the initial value of D in terms of R.
Answer:
D = L/k
Step-by-step explanation:
Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is
dA/dt = in flow - out flow
Since litter falls at a constant rate of L grams per square meter per year, in flow = L
Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow
So,
dA/dt = in flow - out flow
dA/dt = L - Ak
Separating the variables, we have
dA/(L - Ak) = dt
Integrating, we have
∫-kdA/-k(L - Ak) = ∫dt
1/k∫-kdA/(L - Ak) = ∫dt
1/k㏑(L - Ak) = t + C
㏑(L - Ak) = kt + kC
㏑(L - Ak) = kt + C' (C' = kC)
taking exponents of both sides, we have
[tex]L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt} (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k} - \frac{C"}{k} e^{kt}[/tex]
When t = 0, A(0) = 0 (since the forest floor is initially clear)
[tex]A = \frac{L}{k} - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k} - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k} - \frac{C"}{k} e^{0}\\\frac{L}{k} = \frac{C"}{k} \\C" = L[/tex]
[tex]A = \frac{L}{k} - \frac{L}{k} e^{kt}[/tex]
So, D = R - A =
[tex]D = \frac{L}{k} - \frac{L}{k} - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}[/tex]
when t = 0(at initial time), the initial value of D =
[tex]D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}[/tex]
IF A FUNCTION f(x) is defined AS 5x^2-3x+3, what is the expression for
Answer: C. 10x-3
Step-by-step explanation: I got this question correct on Edmentum.
The value of the expression will be 10x – 3. Then the correct option is C.
What is the limit?The value that approaches the output for the given input value. Limits are a very important tool in calculus.
The function is defined as,
f(x) = 5x² – 3x + 2
Then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}[/tex]
Substitute the value of the function, then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5(x+h)^2 - 3(x + h) + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5x^2 + 5h^2 + 10xh - 3x - 3h + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{ 5h^2 + 10xh - 3h }{h}\\[/tex]
Simplify the equation further, then we have
[tex]\rightarrow \displaystyle \lim_{h \to 0} 5h + 10x - 3 \\[/tex]
Substitute the value of the h = 0, then the value of the expression will be
⇒ 5(0) + 10x – 3
⇒ 10x – 3
Then the correct option is C.
More about the limit link is given below.
https://brainly.com/question/8533149
#SPJ2
help me and I’ll give you brainliest
Answer:
8
Step-by-step explanation:
It's a ratio.
h/15=24/45
cross-multiply
45h=360
h=8
interest rate 6% is:
Simplify 4 − 2(3 − ) + 5
Which of the following is an angle subtraction postulate that can be derived from the angle addition postulate m∠QRS + m∠RST = m∠QRT?
Question 7 options:
A)
m∠RST = m∠QRT – m∠QRS
B)
m∠QRT = m∠RST – m∠QRS
C)
m∠QRS = m∠RST – m∠QRT
D)
m∠QRS = m∠RST
What is the solution to the to system equations in the graph?
Answer:
b
Step-by-step explanation:
The solution for system of two equations is simply the intersection of the two functions. Hence (b) is the answer
Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch, they have collected a total of 173 cans. At the end of the day, the total number of cans collected can be represented by the expression 173 1 n. What could the variable n in the expression represent if you know Margaret collected some cans in the afternoon?
Answer:
hm
Step-by-step explanation:
Answer:
N would represent days
Step-by-step explanation:
the question says at the end of the day
The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Age 38 41 45 48 51 53 57 61 65 Pressure 116 120 123 131 142 145 148 150 152 What is the best predicted value for blood pressure of an individual who is 64 years old
Answer:
156
Step-by-step explanation:
Given the data:
Age (X) :
38
41
45
48
51
53
57
61
65
Pressure(Y) :
116
120
123
131
142
145
148
150
152
From the data, we could obtain a regression equation to mod the data Given using a linear regression calculator :
The regression equation obtained is :
y = 1.48769X + 60.46103
Using the model, the predicted blood pressure for a person aged 64 will be :
y = 1.48769(64) + 60.46103
y = 95.21216 + 60.46103
y = 155.67319
y = 156 (nearest whole number)
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.
Answer:
You will need 50.54 liters of gas.
Step-by-step explanation:
This question is solved by proportions.
495km trip:
The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.
Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.
Number of gallons:
23.0 mi/gal.
So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.
How many liters?
Each gallon has 3.78 liters.
So 13.37 gallons will have 13.37*3.78 = 50.54 liters.