Answer:
cost of each kettle:
K₁ = 650K₂ = 975gain/loss from each transaction:
gain from selling K₁ = 130loss from selling K₂ = 195total loss = 65
loss % = 4%
Step-by-step explanation:
both kettles cost 1625
K₁ + K₂ = 1625
selling price of K₁ = [(100 + 20) / 100] x K₁ = 1.2K₁
selling price of K₂ = [(100 - 80) / 100] x K₂ = 0.8K₂
1.2K₁ = 0.8K₂
K₁ = 1625 - K₂
K₁ = 0.8K₂ / 1.2
1625 - K₂ = ²/₃K₂
1625 = ²/₃K₂ + K₂ = ⁵/₃K₂
K₂ = 1625 x ³/₅ = 975
K₁ = 1625 - K₂ = 1625 - 975 = 650
selling price = 1.2K₁ = 1.2 x 650 = 780
selling price K₂ = 0.8K₂ = 0.8 x 975 = 780
gain from selling K₁ = 780 - 650 = 130
loss from selling K₂ = 780 - 975 = 195
total loss = 195 - 130 = 65
loss % = 65 / 1625 = 0.04 = 4%
50 points!
Divide the following polynomial
(a^2n - a^n - 6) (a^n + 8)
using long division explain every steps plz
Answer:
The answer is a^n+2n+8a^2n-a^2n-14a^n-48.
Step-by-step explanation:
1. Use the distributive property.
Multiply the second parenthesis by each term from the first parenthesis.2. Remove the parenthesis.
Distribute a^2 through the parentheses.Distribute -a^n through the parenthesis.Distribute -6 through the parenthesis.3. Collect like terms.
Hope this helps and if you could mark me as brainliest. Thanks!
The factored form of (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8) is
(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8).
In case of long division in the quotient well multiply the first term of the divisor 'aⁿ' with such a number that it becomes equal to the first term of the dividend, Now aⁿ×aⁿ is a²ⁿ.
∴ (a²ⁿ - aⁿ - 6)/(aⁿ + 8) is,
(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).
learn more about long division here :
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Carl simplified this expression. What did he most likely do wrong?How many multiples of 2 does the prime factorization of the number 96 have?
Answer:
2⁵
Step-by-step explanation:
Given:
Number 96
Computation:
96 = 2 x 2 x 2 x 2 x 2 x 3
96 = 2⁵ x 3
So, Number 2 repeat 5 times
Give the numerator [n] and the denominator [d] after simplifying.
Answer:
Answer would be (n) = x(x+y)(x-2y) and the (d) = y^2
Step-by-step explanation:
Hope it helps
i need the answer help
Answer:
the second one(20)
Step-by-step explanation:
If you pretend 20 is x, you solve the equation by pluging in x (20) into the equation and it gives you 70, 70 is what the big part is and 70+20 is 90, which is the size of a 90degree side.
4(20)-10
80-10
70
70+20=90
Answer: The answer to this question is 20 degrees
Step-by-step explanation:
So, you know that it's a straight line, which is 180 degrees. The angle on the very left is 90 degrees because it's a right angle.
So that means (x + 10) + x = 90 degrees because 180 - 90 = 90
Solve that equation for x:
x + 4x - 10 = 90
5x = 100
x = 20
So, your final answer is 20 degrees
Someone please help me with my whole quiz! I am on question 5. I am doing a lot of points for this!
Answer:
For any equation X€R But here is Nothing like it.
Step-by-step explanation:
0 = -x^-4 is wrong to say.
HELPPPPP !!!
What is the justification for the step taken from line 2 to line 3?
3x +9-7X=X+10+X
-4x+9 = 2x+10
-6x+9= 10
-6x=1
x = 6 음
(A) the subtraction property of equality
(B) the multiplication property of equality
(C) combining like terms on one side of the equation
(D) the distributive property
Submit
Answer:
(A) the subtraction property of equality
Step-by-step explanation:
Given
The steps in the question
Require
Justify step 2 to 3
Write out step 2:
[tex]-4x+9 = 2x+10[/tex]
Apply subtraction property by subtracting 2x from both sides
[tex]-4x-2x+9 = 2x-2x+10[/tex]
[tex]-6x+9 = 10[/tex]
Notice that the above equation is represented in step 3.
Hence, option A answers the question.
A. the subtraction property of equality
Given H(6, 7) and I(-7,-6), if point G lies 1/2 of the way along Hl. John says that point G is located at the origin. Is John correct? Justify your answer.
Given:
Two points are (6, 7) and I(-7,-6).
Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl.
John says that point G is located at the origin.
To find:
Whether John is correct or not.
Solution:
Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl. I means point G is the midpoint of HI.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]G=\left(\dfrac{6-7}{2},\dfrac{7-6}{2}\right)[/tex]
[tex]G=\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex]
The location of point G is at [tex]\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex], which is not equal to origin, i.e., (0,0).
Therefore, John is incorrect.
Which dimensions cannot create a triangle?
three angles measuring 254, 650, and 90°
three angles measuring 50°, 30°, and 100°
three sides measuring 5 in., 12 in., and 13 in.
three sides measuring 4 ft, 8 ft, and 14 ft
Consider parallel lines cut by a transversal.
Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.
Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.
Answer:
The alternate exterior angles 2 and 7 are congruent. One way to prove this is through the corresponding angles, vertical angles, and the transitive property.
First, we know <2 and <6 are congruent because of corresponding angles. Then we know they are equal because of the definition of congruent.
Next, we know <6 is congruent to <7 because of vertical angles. Then, we know they are equal because of the definition of congruent.
Finally, we know <2 is equal to <7 because of the transitive property.
Answer:
Here's the sample response!!
Step-by-step explanation:
Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.
In a capture-recapture study, a biologist tagged and released 330 deer. A month later she captured 40 deer, 10 of which had tags. About how many deer were in the population?
Answer:
I think that there should be 320 tagged deer in the population
A ratio shows us the number of times a number contains another number. The total population of the deer after a month was 1320.
What is a Ratio?A ratio shows us the number of times a number contains another number.
When the deer were recaptured 10 out of the 40 deers were tagged therefore, the ratio of the tagged deers to the total population of the deers is 10/40. Thus, we can write the total population of the deer as,
[tex]\dfrac{\text{Tagged Population}}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\dfrac{330}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\text{Total Population} = \dfrac{330 \times 40}{10} = 1320[/tex]
Thus, the total population of the deer after a month was 1320.
Learn more about Ratios:
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MADKING BRAINIEST!!Complete the following ratio table so that each pair represents the same rate.
Answer:
3=15
4=20
5=25
Step-by-step explanation:
bold are the answers
Will mark as brainliest if correct!
Answer:
40%
Step-by-step explanation:
Answer: 40%
Step-by-step explanation: if you add all the students answers you get 30
then take the strawberry students that is 12 divide it 12/30 and you get .4 then multiply by 100 and you get 40%
1.2x-2.4=84
Pls show work...
Answer:
x=72
Step-by-step explanation:
1.2x−2.4=84
Step 1: Add 2.4 to both sides.
1.2x−2.4+2.4=84+2.4
1.2x=86.4
Step 2: Divide both sides by 1.2.
x=72
Answer: x=72
Step-by-step explanation:
Türevin tanımı ile çözümü
Answer:
15/2
Step-by-step explanation:
Please help. I want to finish this problem so I can have fun. It is really hard for me. Plz.
Answer:
x can be divided by 2,3,4,5,6
2 can be divided by 4, so is 3 to 6
so simply x can be divided by 4,5,6
4*5*6=120
Step-by-step explanation:
A fair die is tossed 6 times. Find the probability that
(a) 1 “one”, 2 “twos” and 3 “threes” will turn up,
(b) each side will turn up once.
Answer:
Step-by-step explanation:
hi
Answer:
B
Step-by-step explanation:
The bottom of a doorway to a building is 3.45 feet above the ground, and a ramp to the door for the disabled is at an angle of 6 degrees with the ground. How much longer must the ramp be in order to make the angle 3 degrees? Round the answer to the nearest tenth.
Answer:
The ramp should be 32.9 feet longer.
Step-by-step explanation:
When the ramp is at [tex]6^{o}[/tex] to the ground, its length can be determined by applying the appropriate trigonometric function. Let the length be represented by l, so that;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin [tex]6^{o}[/tex] = [tex]\frac{3.45}{l}[/tex]
l = [tex]\frac{3.45}{Sin 6^{o} }[/tex]
= [tex]\frac{3.45}{0.10453}[/tex]
= 33.0048
l = 33.0 feet
When the angle is reduced to [tex]3^{o}[/tex], the length of the ramp would be;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin [tex]3^{o}[/tex] = [tex]\frac{3.45}{l}[/tex]
l = [tex]\frac{3.45}{Sin 3^{o} }[/tex]
= [tex]\frac{3.45}{0.05234}[/tex]
= 65.9152
l = 65.9 feet
Change in length of ramp = 65.9 - 33.0
= 32.9
The ramp should be 32.9 feet longer.
A teacher wants to buy supplies to make kits for students that each contains a pencil, a pen, an eraser, and a notebook. Write and solve an equation to find the greatest number of kits the teacher can make by spending $35. Explain your reasoning.
Answer:
10 kits
Step-by-step explanation:
Because the price of one kit is $3.45 (pencil, pen, eraser, and a notebook). You can get 10 kits for $34.50. 11 kits would be over the amount she would be willing to pay for the kits.
Hope this is helpful, to you have a gret day! Brainliest would be awesome.
help find the missing lengths round to nearest tenth
Answer:
x = 20.8y = 22.3Step-by-step explanation:
Theta is 21 degreesx is the adjacent side8 is the opposite sidey is the hypothenuseSOH - CAH - TOA
Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.
[tex]tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84[/tex]
Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.
[tex]sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32[/tex]
Can anyone asnwer this ?
the use of the words and not and or in a search engine is known as
Answer:
i can't understant the question
Step-by-step explanation:
Equations and Graphs of Rational Functions Precalculus 12
A car can travel 450 km in the same time it takes a train to travel 350 km. The car's average speed is 20 km/h faster than the average speed of the train. What is the average speed of the car? Give your answer to two decimal places.
I would just like help with figuring out the right equation for this word problem, because I cannot figure this out.
Answer:
The average speed of the car is 90 km/h
Step-by-step explanation:
The rule of the distance id D = v × t, where
v is the speedt is the time∵ A car can travel 450 km in the same time it takes a train to travel
350 km
→ That means the time of them are equals
∴ Time of the car = Time of the train
→ From the rule above t = [tex]\frac{D}{v}[/tex]
∵ D(car) = 450 km and D(train) = 350 km
∵ The car's average speed is 20 km/h faster than the average speed
of the train
→ Assume that the average speed of the train is x km/h
∴ v(train) = x km/h and v(car) = (x + 20) km/h
→ Use the rule of the time above to find the time of each one
∵ t(car) = [tex]\frac{450}{(x+20)}[/tex]
∵ t(train) = [tex]\frac{350}{x}[/tex]
∵ t(car) = t(train)
∴ [tex]\frac{450}{(x+20)}[/tex] = [tex]\frac{350}{x}[/tex]
→ By using cross multiplication
∵ 450 × x = 350 × (x + 20)
∴ 450x = 350(x) + 350(20)
∴ 450x = 350x + 7000
→ Subtract 350x from both sides
∴ 100x = 7000
→ Divide both sides by 100 to find x
∴ x = 70
∵ x represents the average speed of the train
∴ The average speed of the train = 70 km/h
∵ The average speed of the car = x + 20
∴ The average speed of the car = 70 + 20
∴ The average speed of the car = 90 km/h
Write the equation in standard form
Answer:
standard form: Ax + By = C
Slope-intercept form: y=mx+b
where m is the slope and b is the y intercept.
first lets put this into intercept form:
y=-5x+b
(4, 0) is the x intercept.)
To find what b is plug in the point 4, 0 for the x and y of the equation:
0=-5(4)+b
0=-20+b
20=b
b=20
Now that we have the slope, m, and the y intercept, b, we can make our equation
y=-5x+20
Now we need to transform this equation into standard form like so:
y=-5x+20
5x+y=20 - this is your answer
Step-by-step explanation:
1. x + 3y = 1 - 3x – 3y = -15
Answer:
x = 7, y = -2
Step-by-step explanation:
hey i assume those are two different equations
(x + 3y = 1) 3
-3x - 3y = -15
3x + 9y = 3
add both equations in elimination method
6y = -12, y = -2
x + 3(-2) = 1
x + -6 = 1, x = 7
A sequence of numbers follows the rule: multiply the previous number by -2 and add 3. The fourth term in the sequence is -7. Give the next 3 terms in the sequence. Give the 3 terms that came before -7 in the sequence.
Answer:
Next 3 terms: 17, -31, 65
3 terms before -7: 2, -1, 5
Step-by-step explanation:
Fourth term in the sequence = -7
Rule for finding the next term:
[tex]a_n=-2\times a_{n-1}+3[/tex]
Therefore, the fifth term:
[tex]a_5=-2\times a_4+3\\\Rightarrow a_5=-2\times -7+3\\\Rightarrow \bold{a_5=17}[/tex]
Sixth term:
[tex]a_6=-2\times a_5+3\\\Rightarrow a_6=-2\times 17+3\\\Rightarrow \bold{a_6=-31}[/tex]
Seventh term:
[tex]a_7=-2\times a_6+3\\\Rightarrow a_7=-2\times -31+3\\\Rightarrow \bold{a_7=65}[/tex]
Let the three terms that came before -7 be: [tex]x, y, z[/tex]
As per question statement:
[tex]a_n=-2\times a_{n-1}+3[/tex]
[tex]-7 = -2\times z+3\\\Rightarrow -2z=-10\\\Rightarrow z=5[/tex]
Again applying the given rule:
[tex]5 = -2\times y+3\\\Rightarrow y =-1[/tex]
Again applying the given rule:
[tex]-1 = -2\times x+3\\\Rightarrow x =2[/tex]
Therefore the 3 terms before -7 are:
2, -1, 5
how many solutions does the equation 2(2x- 10)-8 =-2(14-3x) have?A.exactly one solution B. exactly two solutions C. no solution D.infinitey many solutions
Answer: it has no solutions
Step-by-step explanation:
Factor then solve to find the complex solutions.
Look at this NASA picture of a giant black hole and read the paragraph.
Credit: X-ray: NASA/CXC/SAO/A.Siemiginowska et al; Optical: NASA/STScI; Radio: NSF/NRAO/VLA)
Black holes cannot be seen without X-rays. If a telescope focuses on X-rays, we see a bright spot surrounding the black hole and a larger doughnut-shaped mass around that. The bright spot is gas, glowing at one million degrees. Any visible light it makes is absorbed by the doughnut-shaped mass of dust and gas around it. So we can only see it using X-rays. This is called a hidden or buried black hole.
What does the photograph show to support the paragraph?
a black hole seen in visible light without X-rays
a buried black hole that looks like a doughnut
million-degree gas inside a black hole
visible light and dust outside a black hole
(Giving brainlest)
The black hole shown in the photograph depicts the buried black hole that looks like a doughnut. Thus option B is correct.
What is the black hole?A black hole is a region of space that has a strong gravity whre nothing even light can eascepe its presence and acts as a black body that relfect no light.
The balck hole gravitational field are so strong that light canot eaxep this was forst consode by John michale. The black hole cannot be seen without X rays as they form a bright spot aroiund the black hole.
Find out more information about the black hole.
brainly.com/question/15620028
HELP I GIVE BRAINLIEST
Answer:
The answer is 15/19
Step-by-step explanation:
Both 60 and 76 are divisible by 4:
60/4 = 15 and 76/4 = 19
Final answer; 15/19
what is 2x -10 find x
Answer:
question is incomplete . to find x value thaf must be a equation but its a simple algebric expression only so inappropriate question
Awnser:
x2+2x−8=0
2cos(x)−1=0
cos(x)=−cos(x)+√3
Step-by-step explanation:
hope that helped
Find the 7th term in the following binomial expansion(4f+t/3)8 in ascending powers of t
Answer:
[tex]\displaystyle T_6=\frac{448}{729} f^2t^6[/tex]
Step-by-step explanation:
Binomial Theorem
Any power of x + y can be expanded into a sum of the form:
[tex]\displaystyle (x+y)^{n}={n \choose 0}x^{n}y^{0}+{n \choose 1}x^{n-1}y^{1}+{n \choose 2}x^{n-2}y^{2}+\cdots +{n \choose n-1}x^{1}y^{n-1}+{n \choose n}x^{0}y^{n}[/tex]
For any given term k, counted from 0 to n:
[tex]\displaystyle T_k={n \choose k}x^{n-k}y^{k}[/tex]
Note if we have to find the 7th term, we have to use k=6. The expression is:
[tex]\displaystyle \left(4f+\frac{t}{3}\right)^8[/tex]
For n=8, x=4f, y=t/3, k=6:
[tex]\displaystyle T_6={8 \choose 6}(4f)^{8-6}\left (\frac{t}{3} \right )^{6}[/tex]
[tex]\displaystyle T_6={8 \choose 6}(4f)^{2}\left (\frac{t}{3} \right )^{6}[/tex]
[tex]\displaystyle T_6={8 \choose 6}16f^2\frac{t^6}{3^6}[/tex]
Calculate:
[tex]\displaystyle {8 \choose 6}=\frac{8!}{2!\cdot 6!}=28[/tex]
Thus:
[tex]\displaystyle T_6=28\cdot 16f^2\frac{t^6}{729}[/tex]
Simplifying, the 7th term is:
[tex]\mathbf{\displaystyle T_6=\frac{448}{729} f^2t^6}[/tex]