What are the first three terms of the Arithmetic Sequence an = 12 – 2(n – 1)?
Group of answer choices
11, 10, 9
12, 10, 8
0, 10, 20
1, 2, 3
Answer:
The first 3 choices are:
12, 10, 8
Step-by-step explanation:
n represents a variable, in which you start at 1 and increase by 1.
So, we first start at 1.
12 - 2(1 - 1) = 12 - 2(0) = 12
Now, 2.
12 - 2(2 - 1) = 12 - 2(1) = 10
Now, 3.
12 - 2(3 - 1) = 12 - 2(2) = 8
So, we result in 12, 10, and 8.
#teamtrees #WAP (Water And Plant)
Answer:
B
Step-by-step explanation:
an = 12 - 2(n - 1)
a1 = 12 - 2(0)
a1 = 12
==============
a2 = 12 - 2(2 - 1)
a2 = 12 - 2
a2 = 10
==============
a3 = 12 - 2(3-1)
a3 = 12 - 2*2
a3 = 8
I think B must be the correct answer. I don't think you can start with n = 0 but the question should qualify that.
if p is directly proportional to 7 and p=12 when t =4 find the value of t when p=18
Answer:
When p=18, t=6
Step-by-step explanation:
If p and t are directly proportional, then:
p = k.t
Where k is the constant of proportionality.
We are given an initial condition: when p=12, then t=4. Substituting in the equation:
12 = k.4
Solving for k
k = 12/4 =3
The equation is:
p = 3t
Now we are required to find the value of t when p=18:
18 = 3t
Solving for t:
t = 18/3 = 6
t = 6
Thus, when p=18, t=6
Show that a vector
[tex]u = x _{1}i + y_{1}j + z_{1}k[/tex]
with direction cosines (cos α, cos β, cos gamma) can be written as
[tex]u = |u| ( \cos \alpha i + \cos\beta j + \cos \gamma k)[/tex]
Answer:
u = |u|(cos∝+cosβ+cosγ)
Step-by-step explanation:
Explanation
Proof:-
Given a vector u = x₁ i + y₁j +z₁k
let O X, OY, O Z be the positive co-ordinate axes
P(x₁,y₁,z₁) be any point in the space
Let OP makes angles α,β,γ with co-ordinate axes OX , OY ,OZ .
The angle α,β,γ are known as direction angles and cosine of the angle
l =cosα , m= cosβ , n=cosγ
The perpendicular PA,PB,PC are drawn co-ordinate axes OX,OY,OZ respecctively
InΔOAP , ∠A =90° , cos∝ =[tex]\frac{x}{r}[/tex]
x₁ = rcos∝
InΔOBP , ∠B =90° , cosβ =[tex]\frac{y}{r}[/tex]
y₁ = rcosβ
InΔOCP , ∠C =90° , cosγ =[tex]\frac{z}{r}[/tex]
z₁ = rcosγ
Given u = x₁ i + y₁j +z₁k
|u| = [tex]\sqrt{(x_{1})^{2} +(x_{2} )^{2} +(x_{3} )^{2} }[/tex]
Therefore u = x₁ i + y₁j +z₁k
u = |u|(cos∝+cosβ+cosγ)
dont mind this question
Answer:
hello, there.
Step-by-step explanation:
General kanobi
What type of triangle can have one right angle?
acute
equilateral
isosceles
scalene
Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons. Write an equation that represents the number os teaspoons tcontAINED IN A CUP C.
Answer:
([tex]\frac{t}{3}[/tex])÷16=C
Maria has a savings account that is earning simple interest. If she started with $200 in the account and has earned a total of $8 in interest in two years, what is the rate of the account?
Answer:
The rate of the interest for savings account is: 2%
Step-by-step explanation:
Simple interest is given by the formula
[tex]I = Prt[/tex]
Here
I is the interest,
P is the principal amount
r is the interest rate
and
t is the time period in years
Now, it is given that
P = $200
I = $8
t = 2 years
Putting the values in the formula
[tex]8 = 200 * r * 2\\8 = 400 * r\\r =\frac{8}{400}\\r = 0.02[/tex]
Converting into percentage
r = 2%
Hence,
The rate of the interest for savings account is: 2%
Answer:
0.02
Step-by-step explanation
To collect data on the signal strengths in a neighborhood, Briana must drive from house to house and take readings. She has a graduate student, Henry, to assist her. Briana figures it would take her 12 hours to complete the task working alone, and that it would take Henry 18 hours if he completed the task by himself. How long will it take Briana and Henry to complete the task together?
Answer:
Both take time together = 36 / 5 hours = 7.2 hours
Step-by-step explanation:
Given:
Briana take time = 12 hour
Henry take time = 18 hour
Find:
Both take time together
Computation:
Briana 1 hour work = 1/12
Henry 1 hour work = 1/18
Both take time together = 1/[1/12+1/18]
Both take time together = 1/[5/36]
Both take time together = 36 / 5 hours = 7.2 hours
There are 6 2/3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 1/2pounds. This would fill and 4/9 containers. (3 points)
Step-by-step explanation:
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In a scale model of a product, a part has a volume of 20 inches cubed. If the product will be 4 times longer, 4 times wider, and 4 times taller than the model, then what will be the volume of the product?
Answer:
1280 in³Step-by-step explanation:
Volume of model v = 20 in³
The volume is the product of 3 dimensions
If each dimension will increase 4 times, then the volume of the product will be:
V = v*4*4*4 V = 20*64 = 1280 in³In 2000, in order to reduce the unemployment rate, France mandated all employers with 20 or more employees to reduce the workweek to 35 hours. Prior to the new law, the unemployment rate in France was 12%. In a random sample of 500 French workers taken a few years after the new law went into effect, 53 workers were found to be unemployed. Using the p-value method, conduct a hypothesis test to determine if the French unemployment rate dropped after the enactment of the 35- hour workweek law. Assume the significance level as 0.05. (7 Points)
Answer:
We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level
Step-by-step explanation:
p₀ = 12 % p₀ = 0,12
From sample p = 53/500 p = 0,106
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
p₀*n = 0,12*500 = 60
q₀ * n = 0,88 * 500 = 440
Then the binomial distribution can be approximate to a normal distribution
The significance level α = 0,05 CI = 95 %
We need to develop a one-tail test (to the left ) find p-value and compare it with α.
p(s) = ( p - p₀ ) / √ p*q /n
p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500
p(s) = - 0,014 / 0,015
p(s) = - 0,93
With this P score we find the area under the bell shape curve
p-value = 0,1762 and compare that area with α = 0,05
Then p-value > 0,05
Therefore we accept H₀
Can someone help me with this problem ?
24
do 33 divided by 2 (2= half) you get 16.5, you cant have half a stamp so remove the .5 to get 16, add 8 to get 24
Answer:
50
Step-by-step explanation:
If he sells half of his stamps and buys 8 more after and ended up with 33 I would take away 8 (33-8=25) and get 25 (which is the other half that he didn't sell). After figuring out what the other half was you would double this number and get your starting number which is 50 ( 25*2= 50)
So this is the set-up
50/2= 25+8= 33 and 33-8= 25*2= 50
It might be wrong lol but I hope this helped
Solve. Please show your work
Answer:
128
Step-by-step explanation:
8^2√2^2
64√2^2 rewrite √2^2 as 2
64*2
=128
Add the following complex numbers: (4 - 2i) + (12 + 7i) A. -8 + 5i B. 16 + 5i C. 16 + 9i D. -8 + 9i
Summing complex numbers is easy: you just sum the real parts together and the imaginary parts together:
[tex](a+bi)+(c+di)=(a+c)+(b+d)i[/tex]
So, you have
[tex](4 - 2i) + (12 + 7i) = (4+12)+(-2+7)i = 16+5i[/tex]
Please send me a answer ASAP please thank you
Answer:
The answer would be D.9
Is k=4 a solution of 4 K + 7=7 k-1
Answer:
k=8/3
Step-by-step explanation:
Let's solve your equation step-by-step.
4k+7=7k−1
Step 1: Subtract 7k from both sides.
4k+7−7k=7k−1−7k
−3k+7=−1
Step 2: Subtract 7 from both sides.
−3k+7−7=−1−7
−3k=−8
Step 3: Divide both sides by -3.
−3k
−3
=
−8
−3
k=
8
3
The value of k is equal to 8/3 for the given expression.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
The given expression is 4 K + 7=7 k-1, the value of k is calculated as,
4K + 7=7k-1
Separate the like terms in the above equation and solve for the value of k,
4K + 7=7k-1
7k - 4k = 7 + 1
3k = 8
k = 8/3
Therefore, the value of k will be 8/3 in the given equation. The value of k = 4 is wrong.
To know more about an expression follow
https://brainly.com/question/4365680
#SPJ2
A six controller thumb covers costs $2.10. At this rate, how much should 32 thumb covers cost? round to the
nearest cent.
Answer:
67 dollars and 20 cents
Step-by-step explanation:
2.10 per thumb cover
32x2.10=67.2
Answer:
if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50
Step-by-step explanation:
Angle A and B are supplementary angles. Angle A measures 45 degrees. What is the measurement of angle B?
Answer:
135
Step-by-step explanation:
Supplementary means both angles equal 180 degrees when combined
180 - 45 = 135
Complementary means both equal 9 degrees when combined
if u think connect the lines of S and it makes and 8 for 180 and C makes 9 for 90
The measurement of the angle B should be considered as the 135 when the Angle A is given.
Calculation of the measurement of angle B:Since
Angle A and B are supplementary angles.
Angle A measures 45 degrees.
So we know that the sum of the supplementary angles is sum upto 180 degrees
So, it can be like
A + B = 180
45 + B = 180
B = 180 - 45
= 135 degrees
hence, The measurement of the angle B should be considered as the 135.
Learn more about an angle here: https://brainly.com/question/16616666
a service station has 92-octane and 98-octane gasoline. How many liters of each should be mixed to provide 12 liters of 96-octane gasoline needed for chemical research
we use the rectangle rule
96-92=4 parts of 92 octane
98-96=2 parts of 98 octane
4x+2x=12
6x=12
x=2
4x=8 liters of 92 octane
2x=4 liters of 98 octane
TAKE A PIC OF A PEICE OF PAPER WITH THE WORK ON IT AND AWNSER. Heyyy pls help me :( it would mean a lot!!! I have a 55% in math rn and I’m trying to get it up.. it would mean a lot if you could help me. I’m not doing so good rn. My parents are very mad about my grades, pls help. JUST 5 QUESTIONS
Answer:
1.
4x-5x+3-8
-x-5
2.
3x^2+8x^2-2x+7x
11x^2-5x
3.
4x+9x+2y+3y^2
3y^2+5y+13x
4.
-5x-7x-2
-5x+-7x-2
-12x-2
5.
6(3x-5)-9x
6(3(4)-5)-9(4)
6(12-5)-36
6(7)-36
6
The list shows the number of miles six people drove in a month .
445, 380, 365, 375, 370, 315
What is the mean absolute deviation of these numbers ?
Millions of students take statistics each year! Researchers hoping to help professors teach better conducted a study in statistics classrooms. They had the same instructor teach three different classes, with randomly assigned students, with three different methods! Method A - traditional lectures, with homework outside of class. Method B - flipped classroom, with students watching videos of lectures and working on homework in class with peers and instructor. Method C - fully online, with students watching videos of lectures, with homework outside of class. They then gave each class the same final exam (out of 20 points). These were the results:
Answer:
It doesnt show the results
Step-by-step explanation:
James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is shared between James and Dan in the ratio of 2:3. In 1996 the profit was $ 20000. Show that Dan’s share was $3000.
Answer:
total20000
bonus15000
remaining 20000-15000=5000
ratio 2+3=5x
Dan part =3x
Dan value=( 5000/5)*3=3000
Step-by-step explanation:
Mrs. Gomez likes to put 3 tablespoons on every 2 1/2 cups of ice cream she eats if she has 5 cups of ice cream how much tablespoons of sprinkles does she need
Answer:
4.5 cups of dookie
Step-by-step explanation:
hope this helps!!!!!!
Answer:
6 teaspoons
Step-by-step explanation:
This is easy because 2 1/2 x 2 = 5. So you simply just multiply 3 by 2 and get 6.
Which of the following questions describes the equation = -20? What number, when multiplied by four, is equal to negative twenty? What number, when divided by four, is equal to negative twenty? What number, when multiplied by negative twenty, is equal to four? What number, when divided by negative four, is equal to twenty?
Answer:
An equation contains an equal sign so -20 is not an equation, I think it's a typing error
Which are 60% as a fraction?
Answer:
3/5
Step-by-step explanation:
The numbers - 12, -7, -2,3,... follow a pattern. What are the next three
numbers in this pattern?
Answer:
5
Step-by-step explanation:
Question 3 (10 points)
(01.07 MC)
The mass of the Eiffel Tower is about 9.16 ⋅ 106 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 108 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)
Answer:
7.96 × 10⁸ kg
Step-by-step explanation:
Step 1: Given data
Mass of the Eiffel Tower (mE): 9.16 × 10⁶ kgMass of the Golden Gate Bridge (mG): 8.05 × 10⁸ kgStep 2: Determine how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower
To determine this ratio, we need to do the following subtraction.
mG - mE = 8.05 × 10⁸ kg - 9.16 × 10⁶ kg = 7.96 × 10⁸ kg
The Golden Gate Bridge has approximately 7.96 × 10⁸ kg more than the Eiffel Tower.
Carle is cutting pieces of string that are exactly inches long. How many pieces can she cut from a ball of string that has 100 feet?
Answer:
Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that has 100 feet? 1 foot= 12 inches. A) 49 pieces.Oct 14, 2016
Step-by-step explanation:
URGENT
The table shows the derivation of tan(2x). Select the
correct reason for each step.
Reason 1 is
Reason 2 is
Reason 3 is
Answer:
Reason 1 is: Addition
Reason 2 is: Tangent Sum Identity
Reason 3 is: Simplify
Step-by-step explanation: ED 2020
Answer:
Reason 1 is: Addition
Reason 2 is: Tangent Sum Identity
Reason 3 is: Simplify
Step-by-step explanation:
