Answer:
(k ∘ p)(x) = 2x² - 16x + 25Step-by-step explanation:
k(x) = 2x² - 7
p(x) = x - 4
To find (k ∘ p)(x) substitute p(x) into k(x),
that's replace any x in k(x) by p(x)
We have
(k ∘ p)(x) = 2(x - 4)² - 7
Expand
(k ∘ p)(x) = 2( x² - 8x + 16) - 7
= 2x² - 16x + 32 - 7
Simplify
We have the final answer as
(k ∘ p)(x) = 2x² - 16x + 25Hope this helps you
Answer:
(k ∘ p)(x) = 2x² - 16x + 25
Step-by-step explanation:
hope this helps
A painter can paint a building in 15 days and a coworker can do the same job in 10 days. If the first painter starts and 3 days later the coworker joins in to help finish the job, how many days does it take to paint the building?
Answer: 7.8 days
Step-by-step explanation:
Painter can get the job done in 15 days so gets [tex]\dfrac{1}{15}[/tex] of the job done in 1 day.
Coworker can get the job done in 10 days so gets [tex]\dfrac{1}{10}[/tex] of the job done in 1 day.
Together, they get [tex]\dfrac{1}{15}+\dfrac{1}{10}[/tex] of the job done in 1 day.
Painter worked for 3 days so completed [tex]\dfrac{1}{15}(3)=\dfrac{1}{5}[/tex] of the job.
That leaves a remaining of [tex]1-\dfrac{1}{5}=\dfrac{4}{5}[/tex] of the job to be completed.
Let x represent the number of days it will take them to work together.
Painter + Coworker = Together
[tex]\dfrac{1}{15}(x)\quad +\quad \dfrac{1}{10}(x)\quad =\quad \dfrac{4}{5}[/tex]
Multiply by 30 to eliminate the denominator:
[tex]\dfrac{1}{15}(x)(30) +\ \dfrac{1}{10}(x)(30) = \dfrac{4}{5}(30)[/tex]
Simplify and solve for x:
2x + 3x = 24
5x = 24
[tex]x=\dfrac{24}{5}[/tex]
x = 4.8
Remember that Painter worked 3 days alone in addition to the 4.8 days they worked together.
So the total time to paint the building is 3 + 4.8 = 7.8
Need help please can you answer it how the question is telling you
Answer:
243 m³
Step-by-step explanation:
The volume of a rectangular pyramid is given by:
[tex]V = \frac13lwh[/tex]
Where
l = length = 9m
w = width = 9m
h = height = 9m
so the volume is 1/3*9*9*9 = 243 m³
Answer:
243
Step-by-step explanation:
The formula for the volume of a square-based pyramid is
[tex]V=\frac{lwh}{3}[/tex]
[tex]l[/tex] = length
[tex]w[/tex] = width
[tex]h[/tex] = height
[tex]V=\frac{9 \times 9 \times 9}{3}[/tex]
[tex]V=\frac{729}{3}[/tex]
[tex]V=243[/tex]
The area is 243 cubic meters.
Please answer it now in two minutes
Answer:
15√3
Step-by-step explanation:
This is a 30-60-90 triangle, so in order to solve for v, we can multiply the short leg by √3, which we will get 15√3.
Answer:
v = 25.98
Step-by-step explanation:
You could do this a number of ways. Some are much longer than others. The shortest way is to use the tangent.
Formula
Tan(theta) = opposite / adjacent
Givens
Theta = 30o
Opposite = 15 km
Adjacent = x
Solution
tan(30) = 15 / v Multiply both sides by v
v*tan(30) = 15 Divide by tan(30)
v = 15/tan(30)
tan(30) = 0.5774
v = 15 / 0.5774
v = 25.98
Two planes make a 1750 mile flight, one flying 75 miles per hour faster than the other. The quicker plane makes the trip 3 hours faster. How long did it take the slower plane to complete the flight?
Answer:
The slower plane is flying at 175 miles per hour and complete the trip in 10 hours
The faster plane is flying at 250 Miles per hour and complete the trip in 7 hours
Step-by-step explanation:
Let s= speed of the slower plane s+75= speed of the faster plane
The time it takes the slower plane to make the flight = 1750/s
The time it takes the faster plane to make the flight is=1750/(s+75)
The difference in these two times is 3 hours
1750/s - 1750/(s+7)=3
{(s+75) / (s+75) * (1750/s)} - {(s/s) * (1750/s+75)} =3
(1750s+131250 / s^2+75s) - (1750s/s^2+75s) =3
1750s+131,250-1750s / s^2+75d =3
131,250 / s^2+75s = 3
Cross product
131,250=3(s^2+75s)
131,250=3s^2+225s
43,750=s^2+75s
s^2+75s-43,750=0
Solve the quadratic equation
x= -b +or- √b^2-4ac / 2a
a=1
b=75
c= -43750
x= -b +or- √b^2-4ac / 2a
= -75 +or- √(75)^2 - (4)(1)(-43750) / (2)(1)
= -75 +or- √(5625) - (-175,000) / 2
= -75 +or- √180625) / 2
= -75 +or- 425 / 2
x= -75 + 425/2 OR -75- 425/2
=350/2 OR -500/2
x=175 OR -250
We will ignore the negative sign because the planes are not flying Backward
The slower plane is flying at 175 miles per hour and complete the trip in 1750/175= 10 hours
The faster plane is flying at 250 Miles per hour and complete the trip in 1750/250= 7 hours
What is (5+5×5÷5-5)⁵/5
Answer:
625.
Step-by-step explanation:
(5+5×5÷5-5)⁵/5
=[ ( 5 + 25 / 5 - 5)^5] / 5
= [(5 + 5 - 5)^5] / 5
= [ (10 - 5)^5] / 5
= 5^5 / 5
= 5^4
= 625.
Answer:
625
Step-by-step explanation:
The rule is to do Parentheses/Brackets, then Exponents/Orders, followed by doing Multiplication and Division from left to right, and finally Addition and Subtraction from left to right. The answer is 625
In Triangle XYZ, m
triangles?
O XYZ = TUV
O XYZ = VUT
O No congruency statement can be made because only two angles in each triangle are known.
O No congruency statement can be made because the side lengths are unknown.
Answer:
No congruency statement can be made because the side lengths are unknown.
Step-by-step explanation:
We are given the measure of two angles in ∆XYZ, as 90 and 30 respectively. The 3rd angle can be known without being given. Since sum of angles in a triangle is 180°, the 3rd angle would be 180 - (90+30) = 60°.
Same applies to ∆TUV.
We only know the 3 angles of each triangle, but we are not given any of the side lengths. Therefore, we cannot make any congruency statement since the side lengths are unknown.
What is the solution of this system of linear equations?
A. (1, 0)
B. (0,0)
C. (0, 1)
D. X=0
Graph is attached , help quick please
Answer:
The answer is C.
Step-by-step explanation:
In order to find the solution of the linear equation, you have to find the coordinates where they intersect.
So according to the graph, both lines intersect at the coordinates of ( 0 , 1 ).
(Correct me if I am wrong)
Here are two sets of cards.
X has the same value on both cards.
Each set of cards has a range of 4.
Work out the value of X
Answer:
3
Step-by-step explanation:
In Set A, the minimum is 4 and the maximum is 7 without X which would make the range 7 - 4 = 3 but we want the range to be 4, therefore X has to be 4 + 4 = 8. Unfortunately, this would then make the range of Set B 8 - 1 = 7 so X has to be the smallest number in Set A which would be 7 - 4 = 3.
(Slope question!) Please help me:)
Answer:
A
Step-by-step explanation:
We know that (15, 11) (which means x = 15, y = 11) is a solution to Line Q so therefore:
11 = 4/3 * 15 + (k + 1)
11 = 21 + k
k = -10
Answer:
-10 = k
Step-by-step explanation:
y = 4/3x + ( k+1)
We know a point on the line is ( 15,11)
Substitute this point into the equation
11 = 4/3(15) + (k+1)
11 = 20 + k+1
Combine terms
11 = 21+k
Subtract 21 from each side
11-21 = k
-10 = k
HELP ASAP PLEASE!!!
A) The range for this function is the set
B)the domain of this function is all real numbers
C) The domain for this function is the set 3
D)All real numbers are in range of this function
E) it’s in the picture
Answer:
A and C
Step-by-step explanation:
The line is at 3, and no number is within reach except 3. So the answer is A and C.
Show the pair of straight lines are perpendicular.
C number.
Answer:
not perpendicular
Step-by-step explanation:
perpendicular line has opposite reciprocal slope
√3x-2√3 y=13
-2√3y=13-√3x
y=-13/(2√3)+√3 x/2√3
y=1/2 x-13/2√3 ( slope is 1/2)
6x-3y+11=0
-3y=-11-6x
y=-11/-3+6x/3
y=2x+11/3 slope =2
Please help I’m being timed!! A small dairy farm writes a business plan. It includes a graph showing the estimated amount of feed used each day in thousands of pounds, y, compared to the number of years since the farm began operating, x. What does the y-intercept represent? A) the estimated amount of years the farm can afford feed B) the maximum feed per day estimated for the life of the farm C) the estimated amount of feed per day for the start of the farm D) the maximum years the farm needs the originally estimated feed per day
Answer: The Answer is C
Step-by-step explanation: I just took the quiz on ed and this is the correct answer.
Answer: C: the estimated amount of feed per day for the start of the farm
Step-by-step explanation: 100% on quiz
decimal number of 1ED5
Answer:
1.ED5 LOL
Step-by-step explanation:
Jim's living room is 23 feet wide and 25 feet long. He wants to put a border around the top of the room. The cost of the border is $1.00 per foot. How much will it cost to buy enough of the border to go around the room?
Answer:
$96.00
Step-by-step explanation:
Perimeter formula, 2w+2l
2(23)+2(25)=96 feet
1$ per foot
96 feet,
so $96
Answer:
I think it 96.00
Step-by-step explanation:
The graph of y = h(x) is a line segment joining the points (1, -5) and (9,1).
Drag the endpoints of the segment below to graph y = h-'(x).
Answer:
Ok, i cant drag the endpoints of the segment, but i can tell you how to do it.
First, we know that h(x) joins the points (1, -5) and (9, 1), then h(x) is a line:
h(x) = s*x + b
First, for a line that goes through the points (x1, y1) and (x2, y2), the slope will be:
s = (y2 -y1)/(x2 - x1)
Then in this case, the slope is:
s = (1 - (-5))/(9 - 1) = 0.75
Then we have
h(x) = 0.75*x + b
now, the value of b can be found as:
h(1) = -5 = 0.75*1 - b
b = - 5 - 0.75 = -5.75.
Then our equation is:
h(x) = 0.75*x - 5.75
Now, i gues you want to find the graph of:
y = h(-x)
Then our new function is:
g(x) = h(-x) = -0.75*x - 5.75.
Now to find the points, we evaluate this function in the same values of x as before.
g(1) = -0.75*1 - 5,75 = -6,5
the point is (1, -6.5)
the second point is when x = 9.
g(9) = -0.75*9 - 5.75 = -12.5
The second point is (9, -12.5)
Answer:
(−6,7) (-1,-2)
Step-by-step explanation:
Khan
the sum of the first 16th term of an A.P is 240 and the sum of the next 4 term is 220 find the next term of the A.P
Answer:
65
Step-by-step explanation:
The sum of the first 16 terms of an arithmetic progression (A.P) is 240
The sum of the next 4 terms is 220
The sum of n terms in an A.P is given by;
[tex]s_{n}[/tex] = n/2(2a + (n - 1)d)
240 = 8(2a + 15d) ... (i)
460 = 10(2a + 19d) .... (ii)
Simplifying this gives;
2a + 15d = 30 ... (i)
2a + 19d = 46 ... (ii)
Subtracting (i) from (ii) we get;
4d = 16
d (common difference) = 4
and a (first term) = (30 - 60)/ 2 = -15
The sequence upto 21 terms is here:
-15, -11, -7, -3, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 51, 55, 59, 61, 65
So the next term (21^st term) is 65.
Answer: a₂₁ = 65
Step-by-step explanation:
The Sum of an Arithmetic Progression is the sum of the first term plus the sum of the last term divided by 2 and multiplied by the number of terms.
[tex]a_1\ \text{is the first term}\\a_n=a_1+d(n-1)\quad \text{is the value of the nth term}\\\\[/tex]
Let's find the 16th term (n = 16)
[tex]a_{16}=a_1+d(16-1)\\\\.\quad =a_1+15d[/tex]
Now let's find the sum of the first 16 terms. This will be Equation 1:
[tex]S_{16}=\dfrac{(a_1)+(a_1+15d)}{2}\times 16=240\\\\\\.\qquad 8(2a_1+15d)=240\\\\\\.\qquad 2a_1+15d=30\qquad \leftarrow \text{Equation 1}[/tex]
************************************************************************************
Repeat what we did above for the next 4 terms (n = 17 to n = 20). This will be Equation 2:
[tex]a_{17}=a_1+d(17-1)\\\\.\quad =a_1+16d\\\\\\a_{20}=a_1+d(20-1)\\\\.\quad =a_1+19d[/tex]
[tex]S_{17-20}=\dfrac{(a_1+16d)+(a_1+19d)}{2}\times 4=220\\\\\\.\qquad 2(2a_1+35d)=220\\\\\\.\qquad 2a_1+35d=110\qquad \leftarrow \text{Equation 2}[/tex]
*********************************************************************************************
Now we have a system of equations. Solve using the Elimination Method:
2a₁ + 15d = 30 → -1(2a₁ + 15d = 30) → -2a₁ - 15d = -30
2a₁ + 35d = 110 → 1(2a₁ + 35d = 110) → 2a₁ + 35d = 110
20d = 80
d = 4
Input d = 4 into one the equations to solve for a₁:
Equation 1: 2a₁ + 15d = 30
2a₁ + 15(4) = 30
2a₁ + 60 = 30
2a₁ = -30
a₁ = -15
Given a₁ = -15 and d = 4, we can find the next term (n = 21)
[tex]a_n=a_1+d(n-1)\\\\a_{21}=-15+4(21-1)\\\\.\quad =-15+4(20)\\\\.\quad = -15+80\\\\.\quad = 65[/tex]
A small cargo plane currently has 140 pounds of cargo aboard. In addition, n boxes weighing 45 pounds each will be brought aboard. Suppose that the total weight of the cargo on board must be less than p pounds. Using the values and variables given, write an inequality describing this.
Answer:
The inequality that represents this situation is: [tex]140 + 45*n < p[/tex]
Step-by-step explanation:
Since the plane already had 140 pounds on board and "n" boxes will be loaded on it, then the weigh of each box multiplied by the number of box should be the extra cargo on the plane. This extra cargo added to the previous load must be less than the limit of cargo the plane can take as shown below:
[tex]140 + 45*n < p[/tex]
A dealer sold 13 quarts containers and 11 pint containers of ice cream in one day. The number of gallons of ice cream he sold was
Answer:
4.625 gallons
Step-by-step explanation:
1. 11 pints plus 13 quarts is 18.5 quarts
2. 18.5 quarts is equal to 4.625 gallons
The number of gallons of ice cream he sold was equal to 4.625 gallons.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Therefore suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
We need to find the number of gallons of ice cream he sold.
A dealer sold 13 quarts containers and 11 pint containers of ice cream in one day.
1. 11 pints plus 13 quarts is 18.5 quarts.
2. 18.5 quarts is equal to 4.625 gallons.
Hence, The number of gallons of ice cream he sold was equal to 4.625 gallons.
Learn more about unit price here:
https://brainly.com/question/945712
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For each of the following system of linear equations, state the number of solutions without solving the system. a) -x+3y=9, -4x+12y=12 b) 2x-y-4=0,6x=3y+12
Answer:
a) ONE SOLUTIONb) INFINITE SYSTEM OF SOLUTIONSStep-by-step explanation:
Given the system of equations;
a) x+3y=9
-4x+12y=12
This equation is a linear simultaneous equation with 2 equations and two unknown values. When the number of equations given is equal to the number of unknown variables, this means that the solution sets of the equations are unique and real and will provide us with just one solution.
b) For the system of linear equation
2x-y-4=0 .... *3
6x=3y+12 ... *1
First lets multiply equation 1 by 3, om multiplying by 3 we will have;
6x-3y-12 = 0
6x-3y = 0+12
6x-3y = 12
Rearranging equation 2 will give;
6x - 3y = 12
It is seen that both equation ate the same. This means that what we have is one equation with two unknowns. For a system of equation with one equation and two unknowns, there will be infinite number of solutions after solving the equation. Hence, the number of solutions for this system of equation is INFINITE
PLEASE HELP
Jina received a $70 gift cards for a coffee store. She used it in buying some coffee that cost $8.64 per pound. After buying the coffee, she had $26.80 left on her card. How many pounds of coffee did she buy?
Answer:
If I'm correct she bought 5 pounds of coffee.
Step-by-step explanation:
$70 (gift card)
-$26.80 (remainder on g.c.)
= $43.20 ($ spent on money)
$43.20/ $8.64 = 5
(remainder)/ cost per lb. = lbs of coffee bought
Answer: She bought 5 pounds of coffee
Step-by-step explanation:
This situation can be represent by the equation
70 - 8.64 x = 26.80 where x is the number of coffee she bought. solve for x
-70 -70
-8.64x = -43.20
x = 5
Jessica started her own dog sitting business. The first week, she deposited $22.00 into her
account and spent $7.27 on dog treats and toys. The second week, she deposited another $38.50
and spent $9.99 on dog food. How much money is left in her account?
Answer:
$43.24
Step-by-step explanation:
First, find the amount of $ she deposited and spent separately.
She deposited 22 in her first week and then 38.5 on the next week. This is a total of $60.50.
The first week, she spent 7.27, then next week, 9.99. This means she spent a total of $17.26.
Second, subtract the total $ she spent from the amount she deposited.
$60.50 - $17.26 = $43.24
Answer:
she has $43.24 left in her bank account .
I need helpp please help me
18. In a recent survey, 75% of the community favored building a police substation in their neighborhood. If 10 citizens are chosen, find the probability that exactly 8 of them favor the building of the police substation.
Answer: 0.28157
Step-by-step explanation:
Given, The proportion of the community favored building a police substation in their neighborhood: p= 0.75
Number of citizens are chosen: n= 10
Let x be the binomial variable that represents the number of citizens favor the building of the police substation.
Then, the probability that exactly 8 of them favor the building of the police substation will be :
[tex]P(x=8)=\ ^{10}C_8(0.75)^8(1-0.75)^2[/tex]
[Using binomial probability function [tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]]
[tex]=\dfrac{10!}{8!2!}(0.100113)(0.0625)\\\\=0.2815678125\approx0.28157[/tex]
Hence, the probability that exactly 8 of them favor the building of the police substation =0.28157
Urgetttttttt!!!!!!! On his way to work each day, Steve encounters one traffic light. He records the color of the light each day by marking "G" for green and "R" for red. Estimate the probability that Steve encounters a green light on any given day. G G G R R G R G G R R R R G G G G R R G
Answer:
[tex]\bold{P(A) =\dfrac{11}{20}}[/tex]
Step-by-step explanation:
A - an occurrence that Steve encounters the green light
number of all counted ligths: |Ω| = 20
number of counted green ligths: |A| = 11
Probability that Steve encounters a green light on any given day:
[tex]P(A) = \dfrac{|A|}{|\Omega|}=\dfrac{11}{20}[/tex]
1 (4/6 - 2√7) (4/6 +21)
Please tell the answer?
Answer:
-100.204779...
or tenth to rounding, -100.2
Hope this helps!
// Would you pick me Brainleist...?
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
All you have to do is simplify.
[tex]1 ( \frac{4}{6} - 2 \sqrt{7}) ( \frac{4}{6} + 21)\\\\= \frac{130}{9} + \frac{-130}{3} \sqrt{7}[/tex] (Decimal: -100.204779)
So the answer is : [tex]\frac{130}{9} + \frac{-130}{3} \sqrt{7}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Resolve into factors.
a)x4-5x2y2+4y4
Answer:
x^4-5x^2y^2+ 4y^4 = (x^2-4y^2)(x^2-y^2)
Step-by-step explanation:
Here in this question, we are to resolve the given expression into factors
x^4-5x^2y^2+ 4y^4
That can be rewritten as;
x^4-x^2y^2-4x^2y^2+4y^4
= x^2(x^2-y^2)-4y^2(x^2-y^2)
= (x^2-4y^2)(x^2-y^2)
Determine the equation of a line that passes through A(2,5) and is parallel to the line defined by 3x−y+12=0. State the equation in slope y-intercept form.
Answer:
Step-by-step explanation:
-y = -3x - 12
y = 3x + 12
y - 5 = 3(x - 2)
y - 5 = 3x - 6
y = 3x - 1
The volume of a triangular prism is increased by a factor of 8.
By what factor is the surface area of the figure increased?
2
4
16
24
find the value of x and y
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The perpendicular line bisect the base of isosceles triangle.
Then,
9^2=y^2-x^2
81=324-243
81=81
So the correct answer is D
I Hope this will be helpful for you
£1 = 1.18 euros How many pounds will lisa have to exchange to get 300.90 euros. (please answer!)
Answer:
255 pounds.
Step-by-step explanation:
We can set up a proportion.
1 pound / 1.18 euros = x pounds / 300.9 euros
1.18 * x = 1 * 300.9
1.18x = 300.9
x = 255
255 pounds.
Hope this helps!
Answer:
300.90 € = £ 255
Step-by-step explanation:
£ 1 = 1.18 €
So,
1 € = £ 1/1.18
=> 1 € = £ 0.847
Multiplying both sides by 300.90 for getting the exchange rate of 300.90 euros
=> 300.90 € = £ 0.847 * 300.90
=> 300.90 € = £ 255