Answer:
1712
Step-by-step explanation:
Given arithmetic sequence is: -16,2,20
Here, a = - 16, d = 2 - (-16) = 2+ 16 = 18
n = 97, [tex] a_{97}=?[/tex]
[tex]\because a_n = a + (n-1)d\\\\
\therefore a_{97}= - 16 + (97-1)\times 18\\\\
\therefore a_{97}= - 16 + 96\times 18\\\\
\therefore a_{97}= - 16 + 1728\\\\
\therefore a_{97}=1,712\\\\[/tex]
Answer:
1712
Step-by-step explanation:
Formula of the sequence:
[tex]a_{n}=18n-34\\a_{97}=18(97)-34\\a_{97}=1712[/tex]
So 1712 is the 97th term
Hayley and Tyra had lunch at
Ruby Tuesday. Their bill was
$22.40. If they leave a 15%
tip, how much is the tip?
The temperature on Sunday was 45 degrees. The next day the temperature dropped by 13 degrees. What is the temperature the next day" *
Answer:
The answer is 32 degrees
Step-by-step explanation:
45 minus 13 equals 32
1. (a) Let A = 1, 3, 5, 7 and B = X : X is the first three multiple of 7 . Find (A−B).
(b) Find the remainder when f (x)=3x^3 −11x−48 is divided by x−1 .
(c) Let f (x)= x3 , g(x)= x+5. Find (f •g)(x)
(d) Find the derivative of y = 3+ x^2+ x^3y^3.
Answer:
a) A-B = { 1 , 3, 5 }
b) The remainder is 50
c) f + g)(x) = x⁴+ 5x³
d) [tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]
Step-by-step explanation:
Step(I):-
1) a)
Let A = { 1, 3, 5, 7 } and B = { 7 , 14 , 21 }
A - B = {1,3,5,7} - { 7,14,21}
A - B = { 1 , 3, 5}
b)
Given f (x)=3x³−11x−48
x-1 ) 3 x³ - 11x -48 (- 3x²-3x -2
-3x³ +3x²
3x²-11x-48
-3x²+9x
2x -48
-2x +2
50
The remainder is 50
c) Given f(x) = x³ and g(x) = x + 5
(f. g)(x) = f(x) .g(x) = x³ . (x+5) = x³(x) + 5 x³ = x⁴+ 5x³
d)
Given function y = 3 + x²+x³y³ ...(I)
By using derivative formulas
y = xⁿ
[tex]\frac{dy}{dx} = n x^{n-1}[/tex]
Apply d/dx ( UV) = U V¹ + V U¹
Differentiating equation (I) with respective to 'x' , we get
[tex]\frac{dy}{dx} = 0 + 2x + ( x^3 3y^2(\frac{dy}{dx} )+ y^3(3x^2))[/tex]
[tex]\frac{dy}{dx} - ( x^3 3y^2(\frac{dy}{dx} )= 2x- y^3(3x^2))[/tex]
[tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]
Max is building a model of the Washington Monument which is 555 feet tall if it's model must fit in his Mom's car, what scale must he use?
Answer:
1 foot=1 milimeter
Step-by-step explanation:
have a great day
Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?
Which one is it? GCF(greatest common factor) LCM (least common multiple).
Answer:
GCF
Step-by-step explanation:
Answer: The largest number of snack bags she could make is 5
Step-by-step explanation:
20/5=4 apples
35/5=7 crackers
In each bag she will place 4 apples and 7 crackers
Molly shared a spool of ribbon with 12 people. Each person received 3 feet of ribbon. Which equation can she use to find
r, the number of feet of ribbon that her spool originally had?
Answer: R/12=3
Step-by-step explanation: This is because / = divide so since we need to divide then multiply its better you go with /
Answer:D
Step-by-step explanation:
HURRY I NEED HELP ASAP
Which set of angle measures would determine a triangle
a. 75,15,10
b.150,20,50
c.50,50,100
d.75,5,100
e70,60,40
Answer:
D
Step-by-step explanation:
all should add up to 180
Answer:
E. 70°, 60°, 40° D. 75°, 50, 100 C. 50°, 50°, 100°
Step-by-step explanation:
If you add the three degrees together, they all should equal 180 degrees.
Hope this helped :)
55% means 55 out of 100. Write 55% as a fraction in simplest form. Is it 55/100 plz give me an explanation.
What is the slope of the line containing the ordered pairs (5,-3) and (-2,-3)
Answer:
0
Step-by-step explanation:
Use the slope formula: m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{-3+3}{-2-5}=\frac{0}{-7} =0[/tex]
The slope of the line is 0.
Complete the table by using your knowledge of the formula for simple interest.
Answer:
that look hard
Step-by-step explanation:
Use a matrix to solve the system:
Answer:
(2.83 , 1 , 4)
Step-by-step explanation:
[tex]2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\[/tex]
Rewrite these equations in matrix form
[tex]\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\[/tex]
we can write it like this,
[tex]AX=B\\X=A^{-1}B[/tex]
so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.
We get the inverse of matrix A,
[tex]A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\[/tex]
now multiply the matrix with B
[tex]X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\[/tex]
What is the value of StartFraction negative 3 (7 + 5) over 3 squared EndFraction + 9 (2)? –6 –2 14 22 Please help timed test??????
Answer:
your dad left to get the milk
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i took the test on edge 2021
Solve equation for
0<θ<2pi
5-1/4sinθ =5
A motocross ramp is 16 feet tall and 24 feet long what is the slope of the ramp
order the numbers from least to greatest -20 3/4 -14 3/4 -1/4 and -15 1/2
Answer:
3/4 3/4 1/2 1/4 -14 -15 -20
Step-by-step explanation:
Answer:
-20,-15,-14,-1/4,1/2,34
Step-by-step explanation:
Amy raises $58.75 to participate in a walk-a-thon. Jeremy raises $23.25 more than Amy. Oscar raises 3 times as much as Jeremy. How much does Oscar raise? Please show work and equation and this is 5th grade math.
1. 246.00
2. 245.00
3. 246.08
Answer:
246.00
Step-by-step explanation:
58.75+23.25=82 then 82*3
Answer:
246.000
Step-by-step explanation:
Well If you take it and Line it up like this,
(A)Amy; 58.75
(J)Jeremy; A+23.25
(O)Oscar; A+23.25= ?x3
This is an easy way to find out what it is you need to do, So A+23.25 is 58.75+23.2 which should give you the value of 82, which brings you to the next step of A+23.25= ?x3 which in this you only wanna focus on the ?x3, we now know ?= 82 so this brings it to 82 times 3 which gives you a value of 246. Thus giving you your answer.
Hope this helps.
When performing a Translation to a segment. What will be the change between the pre-image and the image? (HELP I need this done by 5 Minutes.)
i need help with this please
Answer:
31/8
Step-by-step explanation:
how do you Graph y = 1/5x+3.
Answer: If you can see with this Image I created, the Y Intercept (3) is dotted on the line. You move one up, and move five units to the right. You keep on doing this until you can make a line (Which I did).
I hope this helps, and Happy Holidays! :)
Answer:
rise
----
run
Something like these
Step-by-step explanation:
find 3 on the vertical line if the graph
then from that point rise 1 time to should get you to 2 on the horizontal axis, run 5 times to get to 7, and keep doing that. opposing that rise over run but with negatives when going from the other side of the graph
i. what is sec (17pi/3)
Answer:
1.05
Step-by-step explanation:
example sec x=1/cos x
sec(17pi/3)=1/(cos (17pi/3))=1.05029(type on calculator)=1.05
Hope it helps
i do brainlest
help as fast as you can
what is the photo we can't see it
if k(x)=x²-4 find k(2x)
1 -4
2-x²
3-2x²-4
4-4x²-4
Answer:
4. 4x² - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
k(x) = x² - 4
k(2x) is x = 2x
Step 2: Evaluate
Substitute in x: k(2x) = (2x)² - 4Exponents: k(2x) = 4x² - 4A supervisor records the repair cost for 17 randomly selected VCRs. A sample mean of $68.83 and standard deviation of $12.17 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the VCRs. Assume the population is approximately normal.
Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
27
Step-by-step explanation:
im smart
write an equation of the line y=5x+8 that passes through the point (4,-3)
5
Mo spends of his pocket money on a present for his sister.
He gives of his pocket money to charity.
What fraction of his pocket money does he have left?
You may use the fraction strip to help you.
love shot
Step-by-step explanation:
1x24 minus 1 and that is good
hope it helps
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.015. Can you be confident that your predicted value will be reasonably close to the actual value?
a. Yes, because the correlation is close to zero, it is strong.
b. Yes, No, because the correlation is close to zero, it is strong.
c. No, because the correlation is close to zero, it is weak.
d. No, because the correlation is negative, it is weak.
Answer:
Following are the solution to this question:
Step-by-step explanation:
For this set, the correlation coefficient is = -0.015.
It shows that financial variables have trust issues. Once a price rises, the other one is decreasing the value of -0,015 shows, that there are several fewer associations in the set of data among x and y and between y values. This interaction also can range between -1 to 1, to 0 being completely unrelated. But you'd never be sure, in this situation, 0.015 is very similar to 0.
It means that your prediction is nothing better than just a wild choice. Its odds of an estimated value being relatively close to the actual result are therefore much smaller as the points are it's hardly the best match.
Type the correct answer In each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 - 4i
Equation B (x + yi) - (-6 + 14i) = 18 + 2i
In equation A, x =
and y =
In equation B, r =
and y =
9514 1404 393
Answer:
A: x = -1 and y = 3
B: x = 12 and y = 16
Step-by-step explanation:
In each case, you can add the opposite of the constant to find the variable.
Equation A
(x +yi) +(4 -7i) = (3 -4i)
(x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides
x +yi = (3 -4) +(-4-(-7))i = -1 +3i
x = -1 and y = 3
__
Equation B
(x +yi) -(-6 +14i) = (18 +2i)
(x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides
x + yi = (18 -6) +(2 +14)i = 12 +16i
x = 12 and y = 16
Answer:
In equation A: x=-1 and y=3
In equation B: x=12 and y=16
Step-by-step explanation:
Which of the following is a point-slope equation of a line that passes through
the points (5,2) and (-1,-6)?
O A. y-2-(X-5)
O B. y-2--x-5)
O C. y-2--|(x-5
OD. y-2-(x-5)
To find the equation in point-slope of a line passing through two points, we can use the formula: [tex]y - y₁ = m(x - x₁)[/tex] Where (x₁, y₁) are the coordinates of one point, m is the slope of the line, and (x, y) are the coordinates of any other point on the line and [tex]y-2-(x-5)[/tex] Therefore the correct option is D.
Given that the two points are (5,2) and (-1,-6), we can substitute these values into the formula: [tex]y - 2 = m(x - 5)[/tex](using point 1: ([tex]5,2)) y + 6 = m(x + 1[/tex]) (using point 2: (-1,-6)) Now, let's simplify the equation: y = mx - 5m + 2 (equation 1) y = mx + m - 6 (equation 2) From equations 1 and 2, we can determine that the expected point-slope equation will have the form y - 2 = m(x - 5),
which matches option D. Therefore, the correct point-slope equation of the line passing through the points (5,2) and (-1,-6) is: y - 2 = m(x - 5)
Hence the correct option is D
To know more about equation in point-slope visit:
https://brainly.com/question/29298429
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Sandra rode her bike 9 1/3 miles on Monday and 6 4/5 miles on Tuesday how many miles did Sandra walk in both days
Answer:
2 8/15
Step-by-step explanation:
Solve for h .
-98 = -7 h
h =
Answer:
14
Step-by-step explanation:
Step 1:
- 98 = - 7h Equation
Step 2:
- 98 ÷ - 7 = h Divide on both sides
Answer:
h = 14
Hope This Helps :)
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-98=-7h Equation/Question
Step 2
-98=-7h Simplify
-98=-7h
Step 3
-98=-7h Divide both sides
answer
h=14