Answer:
\(the \: points \: are \: ( - 7, \: 0) \: and \: (0, \: - 7).\)
Step-by-step explanation:
\(f(x) = - |x +4| - 3. \\ if \: x= 0 \\ y = - 4 - 3 \\ y = - 7. \\ \\ if \: y = 0 \\ x = - 4 - 3 \\ x = - 7.\)
Pls help with this question pictured below.
The implicit derivative is given as follows:
dx/dt(x = 4) = 1/12.
How to obtain the implicit derivative?The function in this problem is given as follows:
y = 3x² + 1.
The implicit derivative, relative to the variable t, is given as follows:
dy/dt = 6x dx/dt.
(the derivative of the constant 1 is of zero).
The parameters for this problem are given as follows:
x = 4, dy/dt = 2.
Hence the derivative is obtained as follows:
2 = 6(4) dx/dt
dx/dt = 2/24
dx/dt = 1/12.
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Ok Billy needs 90 lbs of garden soil to landscape a building. In the company storage area, he finds 2 cases holding 24 3/4 soil each, and a third case holding 19 3/8 lb. How much gardening does Bill still need in oder to do the job?
Answer:
1/3
Step-by-step explanation:
f(x) = x + 4 and g(x) = 2x + 3, evaluate each expression.
15. f(g(2))
16.g(f(2.5))
17. g(f(-5))
18. f(g(-5))
Answer:
\(15.~f(g(2))=\Large\boxed{11}\\\)
\(16.~g(f(2.5))=\Large\boxed{16}\)
\(17.~g(f(-5))=\Large\boxed{1}\)
\(18.~f(g(-5))=\Large\boxed{-3}\)
Step-by-step explanation:
Given information\(f(x)=x+4\)
\(g(x)=2x+3\)
Question 15. f(g(2))Substitute values into the first function
\(g(2)=2(2)+3\)
\(g(2)=4+3\)
\(g(2)=7\)
Substitute the values of the first function into the second
\(f(g(2))=f(7)\)
\(f(7)=(7)+4\)
\(f(7)=\Large\boxed{11}\)
Question 16. g(f(2.5))Substitute values into the first function
\(f(2.5)=(2.5)+4\)
\(f(2.5)=6.5\)
Substitute the values of the first function into the second
\(g(f(2.5))=g(6.5)\)
\(g(6.5)=2(6.5)+3\)
\(g(6.5)=13+3\)
\(g(6.5)=\Large\boxed{16}\)
Question 17. g(f(-5))Substitute values into the first function
\(f(-5)=(-5)+4\)
\(f(-5)=-1\)
Substitute the values of the first function into the second
\(g(f(-5))=g(-1)\)
\(g(-1)=2(-1)+3\)
\(g(-1)=-2+3\)
\(g(-1)=\Large\boxed{1}\)
Question 18. f(g(-5))Substitute values into the first function
\(g(-5)=2(-5)+3\)
\(g(-5)=-10+3\)
\(g(-5)=-7\)
Substitute the values of the first function into the second
\(f(g(-5))=f(-7)\)
\(f(-7)=(-7)+4\)
\(f(-7)=\Large\boxed{-3}\)
Hope this helps!! :)
Please let me know if you have any questions
Which of the following is a like radical to 3 √ 6x²?
The like radical to 3 √ 6x² is given as follows:
4(3 √ 6x²) = \(4(\sqrt[3]{6x^2})\)
What are like radicals?Like radicals are two radical expressions that have the same indices and radicand.
The concepts of the index and of the radicand of a radical are given as follows:
Radicand: Variable inside the root.Index: The root, if it is square, cube, and so on...In the context of this problem, the radical expression is presented as follows:
3 √ 6x²
The index and the radicand are given as follows:
Index: 3.Radicand: 6x².Applying the concept of like radicals, any expression in this format is a like radical to 3 √ 6x².
n(3 √ 6x²).
That is, any multiple of the term.
The third option gives a multiple of the given expression, hence the like radical is given as follows:
4(3 √ 6x²) = \(4(\sqrt[3]{6x^2})\)
(using Latex for better visual).
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Consumers Energy states that the average electric bill across the state is $39.09. You want to test the claim that the average bill amount is actually different from $39.09. What are the appropriate hypotheses for this test
The null hypothesis is \(\mu = 39.09\)
The symbol \(\mu\) is the Greek letter mu
The alternate hypothesis is \(\mu \ne 39.09\) telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to \(\mu \ne 39.09\)
So either mu is 39.09 or it's not 39.09
You can use H0 and H1 to represent the null and alternate hypotheses respectively.
----------------------
Summary:
The two hypotheses are
H0: \(\mu = 39.09\)
H1: \(\mu \ne 39.09\)
This is a two tailed test.
The Louvre Pyramid serves as a entrance to the Louvre Museum in Paris. The base of the pyramid is 35 meters long and the aides are 32 meters long. Classify the triangle on the front of the Louvre Pyramid by the length of its sides and the measure of its angles.
The triangles on the front of the Louvre Pyramid are all isosceles triangles.
What is Louvre Pyramid?The building acts as a visible reminder of the importance of the museum's Egyptian Antiquities collections.
The Louvre Pyramid: What Makes It Famous?The primary entry point to the Louvre is the I.M. Pei Pyramid, which is situated in the courtyard. The building acts as a visible reminder of the importance of the museum's Egyptian Antiquities collections.
A graph on the right AB = 35 meters {Given}
AE = 32 meters {Given}
Because AE = BE = 32 meters
So <EAB = <ABE By measure,
<EAB=663°
So <ABE=663°.
So <AEB = 180° - LEAB-LABE.
= 180°-66.3° - 66.3° =47.4°
So, ΔABE is an isosceles triangle.
And the four triangles are all isosceles triangles.
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Help help help please please
Answer:
50 I think
Step-by-step explanation:
12x100
1200 ÷ 24
50
A shipping container is in the form of a right rectangular prism, with dimensions of
30 ft by 8 ft by 8 ft 9 inches. How many cubic feet of shipped goods would it hold
when it is full? Round your answer to the nearest tenth if necessary.
Answer:2,160ft
Step-by-step explanation: Volume=length * width * height
30x8x9=2160
A map on a coordinate plane places two cities on coordinates. Upland is located at (25, 5) and Highland is located at (50, 10). If each unit on the map represents one mile, approximately how many miles apart are the two cities?
Answer:
Approximately 25.5 miles
Step-by-step explanation:
Location of both the cities are \( (25,\: 5)=(x_1, \:y_1) \:\&\: (50,\: 10)=(x_2 , \:y_2) \)
The distance between two cities can be obtained by using distance formula:
Distance between two cities
\( = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2}} \\ \\ = \sqrt{ {(50 - 25)}^{2} + {(10 - 5)}^{2}} \\ \\ = \sqrt{ {(25)}^{2} + {(5)}^{2}} \\ \\ = \sqrt{ 625 + 25} \\ \\ = \sqrt{ 650} \\ \\ = 25.4950976 \\ \\ \approx25.5 \: miles\)
(a) If tan² A = 1 + 2tan² B, prove that cos² B = 2cos² A
Step-by-step explanation:
Note:
tanA=sinA/CosA i.e tan^2A=sin^2A/cos^2A
tanB=sinB/cosB
cos^2A+sin^2A=1
cos^2B+sin^2B=1
I hope this helps.
If a car drives 153 miles in 3 hours how much does it drive in one hour
Answer:
51
Step-by-step explanation:
To find the speed, we must divide the distance traveled by the time it took to travel that distance:
\(v = \frac{D}{t} = \frac{153\ miles}{3\ hours} = 51\ mph\)
Now that we've found the speed, we must see how fast the car travels in an hour
\(D = vt = 51 \ mph * 1 \ h = 51 \ miles\)
Which of the following is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?
The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.
The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.
Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.
The inverse sine of 0.707 is π/4 radians or 45 degrees.
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transformed to create the graph of Y3x?
How is the graph of the parent function
O It is horizontally stretched by a factor of 3 and reflected over the y-axis.
It is translated 3 units down and reflected over the x-axis
It is horizontally compressed by a factor of 3 and reflected over the x-axis
It is translated 3 units down and reflected over the y-axis.
Answer:
The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.
Find the present value of an annuity which pays ` 200 at the end of each 3 months for 10 years assuming
money to be worth 5% converted quarterly?
(a) ` 3473.86
(b) ` 3108.60
(c) ` 6265.38
(d) None of thes
The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.
To find the present value of an annuity, we can use the formula:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.
Plugging in these values into the formula, we get:
PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05
Simplifying the equation, we find:
PV ≈ 200 * (1 - 0.12198) / 0.05
PV ≈ 200 * 0.87802 / 0.05
PV ≈ 35160.4 / 0.05
PV ≈ 7032.08
Therefore, the present value of the annuity is approximately `7032.08.
None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.
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WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
X =
The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.
Given two triangles.
Also given that, the scale drawings given are the reduction of the figure.
Most probably, the second triangle must be formed after a reduction with a scale factor of k.
Let k be the required scale factor.
The value of k can be found by taking the ratio of the corresponding sides.
k = 5.2 / 10.4
= 0.5
So all the corresponding sides will be half of the first triangle.
x = 0.5 × 12.6
= 6.3 feet
Hence the value of x is 6.3 feet.
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write an equation in point slope form for the line through the given point with the given slope (-4, -3); m=8
Answer:
An equation in point-slope form for the line will be:
\(y - (-3) = 8 (x - (-4))\)
Please check the attached line graph also.
Step-by-step explanation:
Given
The point (-4, -3)
The slope m = 8
To determine
Write an equation in point slope form for the line.
Using the point-slope form of the line equation
\(y-y_1=m\left(x-x_1\right)\)
where
m is the slope of the line(x₁, y₁) is the pointIn our case,
(x₁, y₁) = (-4, -3)The slope m = 8substituting the values m = 8 and the point (-4, -3)
\(y-y_1=m\left(x-x_1\right)\)
\(y - (-3) = 8 (x - (-4))\)
Therefore, an equation in point-slope form for the line will be:
\(y - (-3) = 8 (x - (-4))\)
Please check the attached line graph also.
Complete the table.
q=p+7
Р
q
0
1
8
2
3
4
11
Given expression q=p+7
Expression can be defined as contains one or more variables and constants with one or more arithmetic operators.
Simply put the p values in the expression. solve it and get the q values.
q=p+7 in the place of p submit p=0
q=0+7
q=7
q=p+7 in the place of p submit p=2
q=2+7
q=9
q=p+7 in the place of p submit p=3
q=3+7
q=10
Therefore, The values of q are 7,9,10
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The missing numbers are:
7,9 and 10 when 0, 2, and 3 respectively.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
An equation,
q = p + 7.
Substituting the values of p:
When p = 0,
q = 0 + 7
q = 7.
When p = 2,
then q = 9.
And when p = 3,
q = 10
Therefore, all the required values are given above.
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Find the measure of 41.
{
839
41
4 1 = [?]
Enter
<1=97°
Answer:
<1+83=180 co interior angle
<1=180-83=97°
Answer:
solution given:
<1+<83°=180°[co- interior angle]
<1=180°-<83°=97°
<1=97° is your answer
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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2-(-8)+(-3)= I just need the answer not the work
Answer:
7
Step-by-step explanation:
:)
Identify the number of solutions of the system of linear equations.
x=y+3z=6
x-2y = 5
2x - 2y + 5z = 9
no solution
exactly one solution
infinitely many solutions
Solve the system. If there are infinitely many solutions, write the ordered triple in terms of z. If there is no solution, lea
The solution is (x, y, z)
-1.2
3
The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.
Let's solve the system of linear equations correctly.
The given system of linear equations is:
x = y + 3z = 6
x - 2y = 5
2x - 2y + 5z = 9
To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:
From equation 1, we have:
x = y + 3z
Substituting this value of x in equation 2:
(y + 3z) - 2y = 5
y + 3z - 2y = 5
-z + 3z = 5 - y
2z = 5 - y
Now, let's substitute the value of x in equation 3:
2(y + 3z) - 2y + 5z = 9
2y + 6z - 2y + 5z = 9
11z = 9
Simplifying the equation, we find:
z = 9/11
Now, substituting this value of z back into the equation 2z = 5 - y, we get:
2(9/11) = 5 - y
18/11 = 5 - y
18/11 - 5 = -y
18/11 - 55/11 = -y
-37/11 = -y
y = 37/11
Finally, we can substitute the values of y and z into equation 1 to find the value of x:
x = y + 3z
x = 37/11 + 3(9/11)
x = 37/11 + 27/11
x = 64/11
Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).
The system has exactly one solution.
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The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $3 million. Is the result close to the actual number of viewers, 8.0 million? Use a significance level of 0.05.Salary (millions of $)9975264915Viewers (millions)4.12.21.44.48.38.84.94.3Part 1What is the regression equation?y= 4.983 −.010x (Round to three decimal places as needed.)Part 2What is the best predicted number of viewers for a television star with a salary of $3 million?The best predicted number of viewers for a television star with a salary of $3 million is _____ million.(Round to one decimal place as needed.)Help with part 2
we have the equation
y= 4.983 −.010x
where
x ----> the salary
y ----> number of viewers
so
For x=$3 million
substitute
in the given equation
y=4.983-0.010(3)
y=4.953 millions
therefore
The answer is 5.0 million (one decimal place)PLEASE HELP ASAP 100 POINTS
Given: ≅ and ≅
Prove: ≅
According to the given information, ( ) is congruent to ( ) and ( ) . ∠ ( ) should be congruent to ∠ ( ) by Vertical Angles Theorem. Since ( ) is congruent to ( ), ∠ ( ) is congruent to ∠ ( ), and is congruent to , △GHF is congruent to △JHI by ( )
. Then, one can assume that is congruent to by ( )
"( )" means fill in the blank
Answer:
d
Step-by-step explanation:
d
A randomized study compared two different techniques for improving one's memory. The treatment group using Technique A reported that the subjects were able to memorize a mean of 8.9 words. The treatment group using Technique B reported that the subjects were able to memorize a mean of 12.1 words. To determine if the results are significant, the data are re-randomized and the differences of the means are shown in the dot plot. What is the best conclusion to make based on the data?
Answer:
The best conclusion that can be made based on the data on the dot plot is:
The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.
Step-by-step explanation:
Randomization is the standard used to compare the observational study and balance the factors between the treatment groups and eliminate the variables' influence. Some studies analyze that the treatment in the randomization calculates the appropriate number of the subjects as the treatment to memorize is 8.9, and the treatment for the B is 12.1 words.
The mean difference is not significant because the re-randomization shows that it is within the range of what could happen by chance.
The treatment group using technique A reported a mean of 8.9 words.
The treatment group using technique B reported a mean of 12.1 words.
After the data are re-randomized, the differences of means are shown in the dot plot.
The result is significant because the re-randomization show that it is outside the range. The best conclusion that can be made based on the data on the dot plot is:
The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.
Answer:
The answer is actually
-The difference of the means is significant because the re-randomizations show that it is outside the range of what could happen by chance.
*just took the test hope this helps:)*
solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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Need help for this math question I will give the brainliest
Answer:
DAC
Step-by-step explanation:
The vertex is always the letter in the center.
Answer:
the answer is d. and which is ADC
HELPPP
Instructional Item I
A research group is trying to determine how many alligators are in a particular area. They
tagged 30 alligators and released them. Later, they counted 12 alligators who were tagged out
of the 150 they saw. What can the research group estimate is the total population of alligators
in that area?
Instructional Item 2
The local grocery store is going to donate milk and cookies to an upcoming middle school
event. They surveyed 150 students in the school to determine which type of milk they prefer
and recorded the results below.
Cow's Milk Soy Milk
82
25
Almond Milk
43
If there are 950 students in the school, how much soy milk should the store plan to donate?
The total population of alligators will be 375.
The amount of soy milk that the grocery store should plan to donate is: 158.
How to calculate the total population of alligators in the areaTo calculate the total population of alligators in the area, we will assign the following variables:
30 Tagged alligators = m
12 Counted alligators = k
150 alligators seen = n
The total population size (N bar) of alligators is calculated with the formula:
N bar = mn/k
= 30 * 150/12
= 4500/12
375
For the amount of soy milk, we can say that if 25 out of 150 students preferred soy milk, then the number that would prefer soy milk out of 950 will be: 950 * 25/150 = 158.
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Determine the area of the figure shown. Use paper to show your work. Note that each square unit is one unit in length The area of the figure is units2.
Answer:
Step-by-step explanation:
En una progresión aritmética sabemos que a2 =1 y a5 =7. Halla el término general y los términos a8 , a15 y a20
The general rule of the arithmetic sequence is given as follows:
\(a_n = -1 + 2(n - 1)\)
The terms are given as follows:
\(a_8 = 13\)\(a_{15} = 27\)\(a_{20} = 37\)What is an arithmetic sequence?An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the following rule:
\(a_n = a_1 + (n - 1)d\)
The difference between the 3 terms is of 6, hence the common difference is given as follows:
3d = 6
d = 2.
As the 2nd term is of 1, the first term is of:
\(a_1 = 1 - 2 = -1\)
Hence the rule is given as follows:
\(a_n = -1 + 2(n - 1)\)
The terms are given as follows:
\(a_8 = -1 + 2 \times 7 = 13\)\(a_{15} = -1 + 2 \times 14 = 27\)\(a_{20} = -1 + 2 \times 19 = 37\)More can be learned about arithmetic sequences at https://brainly.com/question/30544915
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Determine the Next three terms in the following sequence -1 1/2 -1/4 1/8
Answer:
-1/16 1/32 -1/64
Step-by-step explanation:
They are dividing by -2 each time; therefore, they multiply (1/4) x (-1/2), (-1/16) x (-1/2), (1/32) x (-1/2) because of the keep change flip rule.
Answer:
-
\( - \frac{1}{16} \\ \frac{1}{32} \\ \frac{ - 1}{64} \)
Step-by-step explanation:
It's a geometric sequence with the common ratio r = -1/2
1st: -1
2nd: (-1)x(-1/2) = 1/2
3rd: (1/2) x (-1/2) = -1/4
4th: (-1/4) x (-1/2) = 1/8
so:
5th: (1/8) x (-1/2) = -1/16
6th: (-1/16) x (-1/2) = 1/32
7th: (1/32) x (-1/2) = -1/64