Answer: The speed of car B is 6.44 m/s
Step-by-step explanation:
Let's define:
Sa = Speed of car A.
Sb = Speed of car B.
I assume that at t = 0s, the position of car A is 0m (then at t = 0s, the position of car B is 174m)
Then we can write the positions of each car as:
Pa(t) = Sa*t
Pb(t) = Sb*t + 174m.
We also know that Sa = 2*Sb.
And we know that at t= 27s, car A passes car B.
Then at t = 27s, the positions of both cars must be the same:
Pa(27s) = Pb(27s)
Sa*27s = Sb*27s + 174m.
Now we can replace Sa by 2*Sb (from the above equation)
2*Sb*27s = Sb*27s + 174m
Now we can solve this for Sb.
2*Sb*27s - Sb*27s = 174m
Sb*27s = 174m
Sb = 174m/27s = 6.44m/s.
The speed of car B is 6.44 m/s
If f(x) = 2 - x, express 2f(a) + f(2a) in simplest form.
Answer:
6 - 4a
Step-by-step explanation:
From the question given,
f(x) = 2 - x
2f(a) + f(2a) =.?
First, we shall obtain f(a). This can be obtained as follow:
f(x) = 2 - x
x = a
f(a) = 2 - a
Next, we shall obtain 2f(a). This is can be obtained as follow:
f(a) = 2 - a
2f(a) = 2(2 - a)
2f(a) = 4 - 2a
Next, we shall obtain f(2a). This can be obtained as follow:
f(x) = 2 - x
x = 2a
f(2a) = 2 - 2a
Finally, we shall determine 2f(a) + f(2a) as follow:
2f(a) = 4 - 2a
f(2a) = 2 - 2a
2f(a) + f(2a) =?
2f(a) + f(2a) = (4 - 2a) + (2 - 2a)
2f(a) + f(2a) = 4 - 2a + 2 - 2a
2f(a) + f(2a) = 4 + 2 - 2a - 2a
2f(a) + f(2a) = 6 - 4a
Therefore, 2f(a) + f(2a) is equivalent to 6 - 4a
Complete the recursive formula of the geometric sequence 56\,,-28\,,\,14\,,-7,...56,−28,14,−7,...56, comma, minus, 28, comma, 14, comma, minus, 7, comma, point, point, point. d(1)=d(1)=d, left parenthesis, 1, right parenthesis, equals d(n)=d(n-1)\cdotd(n)=d(n−1)⋅d, left parenthesis, n, right parenthesis, equals, d, left parenthesis, n, minus, 1, right parenthesis, dot
Answer:
Step-by-step explanation:
[tex]r=\frac{-28}{56}=-\frac{1}{2}\\a_{n}=\frac{-1}{2}a_{n-1}[/tex]
The recursive formula for the sequence is aₙ = (-1/2) * aₙ₋₁
What is a Geometric Series?A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.
The standard equation for geometric series is
Tₙ = a₁ rⁿ⁻¹
The formula above represents the explicit formula to determine the nth term of the sequence.
The recursive formula is used to determine the nth term when (n-1) th term is given.
The geometric sequence is,
56, -28, 14, -7,.................
The first term of the sequence is 56
The common ratio is determined by taking the ratio of the second term to the first term.
r = -28/56 = -1/2
The recursive formula is represented by,
aₙ = r * aₙ₋₁
aₙ = (-1/2) * aₙ₋₁
To know more about Geometric Series
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6.4n-1.2+3n+8.2=19.22
What number would make the statement true
Answer:
Step-by-step explanation:
6.4n - 1.2 + 3n + 8.2 = 19.22
So we can separate the variable side on the left, and the whole numbers on the right.
6.4n + 3n = 19.22 - 8.2 + 1.2
which gives us,
9.4n = 12.22
n = 1.3
[7,8] is the difference between
2 vectors with components [a, 5] and
(-4,-3). What is a
Answer:
The value of [tex]a[/tex] is 3.
Step-by-step explanation:
Let be [tex]\vec a = \langle a, 5 \rangle[/tex] and [tex]\vec b = \langle -4,-3 \rangle[/tex], the difference between the two vectors is:
[tex]\vec c = \vec b - \vec a[/tex]
[tex]\vec c = \langle a, 5\rangle - \langle -4,-3 \rangle[/tex]
[tex]\vec c = \langle a+4,8 \rangle[/tex]
If we know that [tex]\vec c = \langle 7,8 \rangle[/tex], the value of [tex]a[/tex] is:
[tex]\langle 7, 8 \rangle = \langle a+4, 8\rangle[/tex]
In which,
[tex]a + 4 = 7[/tex]
[tex]a = 3[/tex]
The value of [tex]a[/tex] is 3.
7x + 3y = 9 (for x)
solve it for x
Answer:
x = 9/7 - (3 y)/7
Step-by-step explanation:
Solve for x:
3 y + 7 x = 9
Hint: | Isolate terms with x to the left-side.
Subtract 3 y from both sides:
7 x = 9 - 3 y
Hint: | Solve for x.
Divide both sides by 7:
Answer: x = 9/7 - (3 y)/7
Answer:
x = ( 9 - 3y ) / 7
Step-by-step explanation:
To solve this equation for x, we will simply isolate the x.
7x + 3y = 9
7x = 9 - 3y
x = ( 9 - 3y ) / 7
Cheers.
Find the midpoint of the segment with the following endpoints.
(-1,9) and (-7,1)
Answer:
1 1/3
Step-by-step explanation:
m=y2-y1/x2-x1
or rise over run
m=1-9/(-7)-(-1)= (-8)/(-6)= 1 1/3
Answer:
11/3
Step-by-step explanation:
can someone do it :) Simplify 5(x - 6).
Answer:
5x - 30
Step-by-step explanation:
I used the distributive property and I think I got it.
Answer:
5 x minus -30
x is equal to -6
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Find x if EC is a bisector
AC = 3x+6 and CD = 2x + 14
ay
E
236
CON=-8
x=20
On=-20
KID X=8
Description
Answer:
x = 8Step-by-step explanation:
If EC is a bisector of AC and CD, then AC is equal to CD.
Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;
3x+6 = 2x+14
subtract 6 from both sides
3x+6-6 = 2x+14-6
3x = 2x+8
subtract 2x from both sides
3x-2x = 2x+8-2x
x = 8
Hence the value of x is 8
A company makes a profit of 35$ per video game. The company can produce at most 200 software programs and at most 300 video games per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.
Answer:
Let x = software program
Let y = video game
x < 200 ; y < 300
x + y < 425
50x ; 35y
x = 200 ; y = 225
50(200) + 35(225) = 10,000 + 7,875 = 17,875
x = 125 ; y = 300
50(125) + 35(300) = 6,250 + 10,500 = 16,750
x = 175 ; y = 250
50(175) + 35(250) = 8,750 + 8,750 = 17,500
It is more profitable to maximize production of software program when working within the limits provided.
Step-by-step explanation:
Pleaseee. helpppl
Find the most important variable in the problem.
There are 13 fish in an aquarium. Seven of the fish are guppies. How many
non-guppies are in the aquarium?
A. the total number of fish
B. the number of guppies
c. the number of non-guppies
Answer:
C. the number of non-guppies
Step-by-step explanation:
The number of non-guppies is the only variable the other two options have defined values.
Answer:
C, The number of non- guppies is the most important variable.
Step-by-step explanation:
The answer is the unknown variable that you're trying to find and the entire problem is to help you find the unknown.
I need help if anyone can help me and explain it how to do it
Step-by-step explanation:
h(x) = f(g(x)), so h(x) is the same as g(x) substituted into f(x).
In this case, we can say f(x) = √x, and g(x) = 5x + 30.
f(g(x)) = √(5x + 30)
4.Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below.
PLEASE HELP
Answer:
I think it's x3-x=0 but is not you can use a math app and take a picture
Answer:
-2
Step-by-step explanation:
(6,0)-(0,3)
It goes don -6 and over 3
-6/3=-2
Katy is deciding which charity to donate to. She is going to donate fifty dollars to each charity chosen, and she can donate to a women's shelter (abbreviated B), a charity for rescue animals (abbreviated R), and a children's foundation (C). The dots in the Venn diagram below show the combinations that she can donate to. Let X be the event of donating fifty dollars each to two charities for a total of one hundred dollars. Let Y be the event of donating to the charity for rescue animals. Move the dots on the Venn diagram to place the dots in the correct event, X, Y,or X AND Y. Note that you might not use all of the dots.
Answer:
Step-by-step explanation:
-1+2z-z^2 Terms: ? Coefficients: ? the constant term is: ?
Answer:
Terms: -1, 2z, -z²
Coefficients: 2, -1
Constant Term: -1
Step-by-step explanation:
Terms are a set of numbers. It can be accompanied by a variable or not.
Terms: -1, 2z, -z²
Coefficients are the numbers that are in front of a variable.
Coefficients: 2, -1
Constant term is just a number, with no variable attached to it.
Constant Term: -1
Which describes an atom that has fewer neutrons and protons and more electrons than protons
Answer:
Negative charged ion :)
Answer:
Negative charged ion
Step-by-step explanation:
Solve the equation: 2^2 − 9 + 10 = 0 Step by step
Step-by-step explanation:
2^2 − 9 + 10 = 0
4-9+10=0
4+1=0
5=0
False
Which rules define the function graphed below?
Answer:
y = 2x + 3; y = -1/3 x + 3
Step-by-step explanation:
Both lines have y-intercept 3.
The slopes are 2 and -1/3.
The equations are
y = 2x + 3; y = -1/3 x + 3
Answer:
A
y = 2x + 3; y = -1/3 x + 3
Which of the numbers 8,9, or 10 is the solution to 70=8-x
Answer:
Step-by-step explanation:
Add x to both sides.
70 +x = 8
Subtract 70 from both sides.
x = 8 - 70
x = - 62
None of the answers fit.
(6 + √27) / 3 Sorry i wrote it wrong the first time.
Answer: [tex]2 + \sqrt{3}[/tex]
==============================================
Work Shown:
[tex]\frac{6 + \sqrt{27}}{3}\\\\\frac{6 + \sqrt{9*3}}{3}\\\\\frac{6 + \sqrt{9}*\sqrt{3}}{3}\\\\\frac{6 + 3\sqrt{3}}{3}\\\\\frac{3(2 + \sqrt{3})}{3}\\\\2 + \sqrt{3}\\\\[/tex]
The idea with simplifying the square root (steps 2 through 4) has us factoring 27 so that one factor is a perfect square. We want the largest perfect square factor possible.
That way when we use the rule sqrt(x*y) = sqrt(x)*sqrt(y), we pull out that perfect square to then use the rule sqrt(x^2) = x where x is nonnegative.
After simplifying the square root, we factor out the GCF and then cancel out the 3's.
A farmer rents pastureland for 8$ per acre plus a monthly fee of $200. Write an expression that can be used to find the total monthly cost. Then find the cost of renting 25 acres
Answer:
A. [tex] 8n + 200 [/tex], $400.
Step-by-step explanation:
Monthly rent per acre for pasture land = $8
Additional monthly fee = $200
Let n represent the number of acres.
Therefore, expression for the total monthly cost would be:
[tex] 8n + 200 [/tex].
If the farmer wants to rent 25 acres of pasture land, the expression, [tex] 8n + 200 [/tex], can be used in calculating the total cost by simply plugging in the value of n, which would be 25 in this case.
Total monthly cost for 25 acres = [tex] 8(25) + 200 [/tex].
[tex] = 200 + 200 [/tex]
[tex] 400 [/tex].
Total monthly cost = $400
ILL GIVE YOU BRAINLIST !!! SHOW WORK
Answer:
45
Step-by-step explanation:
5z^x
Substitute each number for the right letter
5(-3)^2
5(9)
45
WILL GIVE BRAINLIEST!!Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 the job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.
30 + 15 x greater-than-or-equal-to 90
Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.
Answer:
He only accepts jobs that last 4 hours or more.
Step-by-step explanation:The number of hours is x and so when you plug in 4 hours into the equation. 30+15 (4) it equals exactly 90
There are 30 students in a sixth grade class. 60% of the students are girls. How many of the students are girls?
Answer:
18
Step-by-step explanation:
30 students * 60/100= 18
A random sample of 10 subjects have weights with a standard deviation of 9 8753 kg What is the variance of their weights? Be sure to include the appropriate units with the result.
Answer: The variance of their weights = 9,752,155,009 kg.
Step-by-step explanation:
The variance is the square of the standard deviation . it measures the spread between data values in a data set.So if standard deviation of 10 subjects = 98753 kg
Then, variance = [tex](9 8753 )^2\ kg=9,752,155,009\ kg[/tex]
Hence, the variance of their weights = 9,752,155,009 kg.
Solve each expression using the correct order of operations,
7- 5 + 3 x 10
Answer:
28 is your answer
Step-by-step explanation:
you start with multiplication and continue with addition and then go to subtraction
Answer:
32
Step-by-step explanation:
3×10 comes first because BIDMAS : brackets () indeces divide ÷ multiply× addition + subtraction -
So 30
7-5+30 = 32
***ECONOMINCS*** Which statement best summarizes the role of households in the flow of
goods?
A. Households sell products created in product markets.
B. Households provide natural resources to businesses.
C. Households trade goods between product and resource markets.
D.Households act as consumers for goods made by businesses.
The final customers of a companies' products and services are the households. They generate demand in the market dependent on their preferences, and further discussion can be defined as follows:
As per the market demand, the businesses manufactured and provided items in the market and the nation's production line is determined by its families.Households consume the commodities supplied by the companies in a circular flow diagram.It could contribute land for the production of goods, or it may offer itself as the source of employment.It also provides capital, which would be a monetary type of investment that enables businesses to generate consumer products.Therefore, the final answer is "Choice D"
Learn more:
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Answer:
D.Households act as consumers for goods made by businesses.
Step-by-step explanation:
HELPPPP PRECALC WILL GIVE BRAINLIEST
Answer:
500
600
500
Step-by-step explanation:
How do you do this problem?
Step-by-step explanation:
∫ t⁷ e^(-t⁴) dt
If x = -t⁴, then dx = -4t³ dt, and ¼ x dx = t⁷ dt.
∫ ¼ x eˣ dx
If u = ¼ x, then du = ¼ dx.
If dv = eˣ dx, then v = eˣ.
∫ u dv = uv − ∫ v du
= ¼ x eˣ − ∫ ¼ eˣ dx
= ¼ x eˣ − ¼ eˣ + C
= ¼ eˣ (x − 1) + C
Substitute back:
= ¼ e^(-t⁴) (-t⁴ − 1) + C
The procedure would be as demonstrated in the attachment(s). As you can see your solution will be,
[tex]\frac{1}{4}\left(-e^{-t^4}t^4-e^{-t^4}\right)+C[/tex]
6x-2=7x+9 find x plz help
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
[tex]6x-2=7x+9[/tex]
Add 2 to both sides:
[tex]6x-2+2=7x+9+2[/tex]
[tex]6x=7x+11[/tex]
Subtract 7x from both sides:
[tex]6x-7x=7x+11-7x[/tex]
[tex]-x=11[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]
[tex]x=-11[/tex]
Answer:
X= -11
Step-by-step explanation:
Simplifying
6x + -2 = 7x + 9
Reorder the terms:
-2 + 6x = 7x + 9
Reorder the terms:
-2 + 6x = 9 + 7x
Solving
-2 + 6x = 9 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-2 + 6x + -7x = 9 + 7x + -7x
Combine like terms: 6x + -7x = -1x
-2 + -1x = 9 + 7x + -7x
Combine like terms: 7x + -7x = 0
-2 + -1x = 9 + 0
-2 + -1x = 9
Add '2' to each side of the equation.
-2 + 2 + -1x = 9 + 2
Combine like terms: -2 + 2 = 0
0 + -1x = 9 + 2
-1x = 9 + 2
Combine like terms: 9 + 2 = 11
-1x = 11
Divide each side by '-1'.
x = -11
Simplifying
x = -11
Choose the expression that represents the prime factorization of 96.
3.24
6.8.2
3.25
3.2.2.2.2
Answer:
3.2.2.2.2...
Step-by-step explanation:
The prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers