Find the 61st term of the arithmetic sequence
8, 7, 6, ...

Answers

Answer 1

Answer:

The 61st term is -52

Step-by-step explanation:


Related Questions

find the value of x PLEASE EXPLAIN

Answers

Answer:

x = 57, x = 111

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

x + 67 + 56 = 180

x + 123 = 180 ( subtract 123 from both sides )

x = 57

---------------------------------------------------------------------

Similarly

x + 47 + 22 = 180

x + 69 = 180 ( subtract 69 from both sides )

x = 111

We can say that:

In the first triangle, x = 57°In the second triangle, x = 111°

Let's go!

We must know that the sum of all the internal angles of a triangle is equal to 180°. So, just solve an equation to determine x in each triangle.

First triangle:67 + 56 + x = 180 → Sum:123 + x = 180 → We move 123 to the other side, changing its signal.x = 180 - 123 → Subtract:x = 57°Second triangle:22 + 47 + x = 180 → Sum:69 + x = 180 → We move 69 to the other side, changing its signal.x = 180 - 69 → Subtract:x = 111°

________________

Hope this helps! Good studies!

Lexi jarred 2.3 liters of jam after 2 days. How many days does Lexi need to spend making jam if she wants to jar 4.6 liters of jam in all?

Answers

Answer:

bruh 4 days duh

Step-by-step explanation:

Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles


B. 240 miles


C. 300 miles


D. 360 miles

Answers

Marsha had driven 240 miles

WILL MARKDOWN BRAINLIEST

Answers

Answer:

1. $539

2. $300

3. C

Step-by-step explanation:

May I have brainliest?

A machine can pack 70 boxes of spaghetti in 5 minutes. At this rate, how
many boxes can they pack in 8 minutes.

Answers

Answer:

112 boxes

Step-by-step explanation:

Answer: 112 boxes

Step-by-step explanation: 112 boxes in 8 minutes. To find how many boxes the machine packs per minute, you divide 70 by 5 and you get 14. You then multiply 14 boxes by 8 minutes giving you the product of 112.

a, = 5 +0.2(n-1)
f(n)

Answers

Answer:

a=4.8

Step-by-step explanation:

may be wrong tho

What is the discriminant of the quadratic equation, 4x^2-8x-5=0​

Answers

Answer:

Step-by-step explanation:

4x^2-8x-5=0

The discriminant is the number under the √. In this case it's 144

Answer:

[tex]\Delta=144[/tex]

Step-by-step explanation:

For a quadratic in standard form, the discriminant is given by:

[tex]\Delta=b^2-4ac[/tex]

We have the equation:

[tex]4x^2-8x-5=0[/tex]

Hence, our a=4; b=-8; and c=-5.

Substituting into our formula, we acquire:

[tex]\Delta=(-8)^2-4(4)(-5)[/tex]

Evaluate:

[tex]\Delta=64+80[/tex]

Add:

[tex]\Delta=144[/tex]

Therefore, our discriminant is 144.

Notes:

Since our discriminant is a positive value, this tells us that our quadratic has two real roots.

what isthe area of the circle or semicircle 2.5​

Answers

Answer:

I don't know what your question was but the radius would eqaul .089 so the area is 2.5

Answer:

0.89

Step-by-step explanation:

the area of the. ..............

Solve.

24 + d = 30

d =

Answers

Answer:

I think d = 6 because 24 + 6 = 30

Answer:

d=6

Step-by-step explanation:

Evaluate the function f(x) = -2x + 9 when x = 2​

Answers

Answer:

I think x= 5

Step-by-step explanation:

because u put 2 where x is supposed to go so it would be -2(2)+9 and -2(2)=-4 and then add 9 and that =5

The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.

340.1 ÷ 9.5 = 358

Answers

Answer:

35.8

Step-by-step explanation:

                [tex]\frac{340.1}{9.5}[/tex]  = 358

 We know that our answer can never be greater than 358 since the dividend

is 340.1 and the divisor is 9.5;

  Also,

  Both values are to one decimal places and we can use this to solve the problem;

  9 can divide 340 in about 37 place with a remainder of 7,

    So, it is appropriate to make the solution 35.8

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

Answers

Answer:

4x+12

Step-by-step explanation:

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

(5+2x)+(7+2x)

The perimeter would be 4x+12

Hope I helped!

Please mark Brainliest!!!

Answer:

The answer is A. 4x+12

Step-by-step explanation:

Just took the test on edge 2020 :D

What is the value of the expression 4/7 ÷ 12/21

Answers

Your answer is 1
:::::::::

Answer:

Step-by-step explanation:

​ [(24÷12)⋅6]+3⋅8÷2 ​

2.Evaluate the expression.

​ (26÷13)⋅(−7)+14−4 ​

3.Simplify this expression.

9 + 3 × 2

15

21

24

48

4.What is the value of this expression?

6⋅[(32−8)÷4+2]

5.Simplify.

6y+5z+8y−3z

11y + 5z

14y +2z

14y + 8z

16yz

does this help

What is the expanded form of 720.058

Answers

Answer:

Standard Form:

720.058

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

 720.058 =

 700  

+ 20  

+ 0  

+   0.0

+   0.05

+   0.008

Expanded Factors Form:

   720.058 =

 7 × 100  

+ 2 × 10  

+ 0 × 1  

+ 0 ×   0.1

+ 5 ×   0.01

+ 8 ×   0.001

Expanded Exponential Form:

 720.058 =

7 × 102

+ 2 × 101

+ 0 × 100

+ 0 × 10-1

+ 5 × 10-2

+ 8 × 10-3

Word Form:

720.058 =

seven hundred twenty and fifty-eight thousandths

Step-by-step explanation:

Answer:

700 + 20 + 0 + 0.050 + 0.008

Step-by-step explanation:

pleaseeee hurryyy i needd helppp
How many solutions are there for this equation? Why?
2(m+2)=12−6m
Select the option that correctly answers both questions.
a. There is one solution, because the coefficients of the variables on both sides of the equation are the same.
b. There are no solutions, because the coefficients of the variables on both sides of the equation are different.
c .There is one solution, because the coefficients of the variables on both sides of the equation are different.
d. There are no solutions, because the coefficients of the variables on both sides of the equation are the same.

Answers

Answer:

C. There is one solution, because the coefficients of the variables on both sides of the equation are different.

Step-by-step explanation:

The solution is m = 1

~theLocoCoco

I am unable to understand how to solve this question, please send the working out.

Answers

1 Move the negative sign to the left.
(
9
x
)
1
2
8
x

1
2
3
(9x)

​2

​1
​​
​​
​3
​​ √
​8x
​−
​2

​1
​​
​​

​​

2 Convert
(
9
x
)
1
2
(9x)

​2

​1
​​
​​ to square root.
9
x
8
x

1
2
3

​9x

​​
​3
​​ √
​8x
​−
​2

​1
​​
​​

​​

3 Use this rule:
a
b
=
a
b

​ab

​​ =√
​a

​​ √
​b

​​ .
9
x
8
x

1
2
3

​9

​​ √
​x

​​
​3
​​ √
​8x
​−
​2

​1
​​
​​

​​

4 Since
3
×
3
=
9
3×3=9, the square root of
9
9 is
3
3.
3
x
8
x

1
2
3
3√
​x

​​
​3
​​ √
​8x
​−
​2

​1
​​
​​

​​

5 Use Multiplication Distributive Property:
(
x
y
)
a
=
x
a
y
a
(xy)
​a
​​ =x
​a
​​ y
​a
​​ .
3
x
8
3
x

1
2
3
3√
​x

​​
​3
​​ √
​8

​​
​3
​​ √
​x
​−
​2

​1
​​
​​

​​

6 Calculate.
3
x
×
2
x

1
2
3
3√
​x

​​ ×2
​3
​​ √
​x
​−
​2

​1
​​
​​

​​

7 Use this rule:
(
x
a
)
b
=
x
a
b
(x
​a
​​ )
​b
​​ =x
​ab
​​ .
3
x
×
2
x

1
2
×
3
3√
​x

​​ ×2x

​2×3

​−1
​​
​​

8 Simplify
2
×
3
2×3 to
6
6.
3
x
×
2
x

1
6
3√
​x

​​ ×2x

​6

​−1
​​
​​

9 Move the negative sign to the left.
3
x
×
2
x

1
6
3√
​x

​​ ×2x
​−
​6

​1
​​
​​

10 Use Negative Power Rule:
x

a
=
1
x
a
x
​−a
​​ =
​x
​a
​​

​1
​​ .
3
x
×
2
×
1
x
6
3√
​x

​​ ×2×

​6
​​ √
​x

​​

​1
​​

11 Use Quotient Rule:
x
a
x
b
=
x
a

b
​x
​b
​​

​x
​a
​​
​​ =x
​a−b
​​ .
\[3\times 2\sqrt[2}-\frac{1}{6]{x}\]

12 Simplify
1
2

1
6
​2

​1
​​ −
​6

​1
​​ to
1
3
​3

​1
​​ .
3
×
2
x
3
3×2
​3
​​ √
​x

​​

13 Simplify.
6
x
3
6
​3
​​ √
​x

​​

Answer:

[tex](9x)^{\frac{1}{2} }.(8x^{\frac{-1}{2} })^{\frac{1}{3} }\\\\=9^{1/2}.x^{1/2}.8^{1/3}.x^{-1/2.1/3} \\\\=3.2.x^{1/2}.x^{-1/6} \\\\\\=6.x^{1/2-1/6}\\\\=6x^{1/3}[/tex]

Step-by-step explanation:

5 (2k - 8 ) - 15 = -25
how do I solve this?

Answers

Answer:

3=k

5(2k-8)-15=-2510k-40-15=-2510k-55=-2510k=-25+5510k=3030÷103=k

Margo studied for 20 minutes. How many seconds did she study?

A. 1,200

B. 800

C. 620

D. 120​

Answers

Answer:

1200 because 12*60 is 1200

hiiii please help if u can <3​

Answers

Answer:

Step-by-step explanation:

given:  triangle EDC is right angle isosceles triangle,AD and BC is perpendicular to AB.

statement                      reason

1. in triangle AED and BEC

a.∠ADE=∠EBC                      a.given( AD and BC is perpendicular to AB)

b.∠AED+∠DEC=∠EBD+∠ECB   b. exterior angle of triangle is equal to two ∠AED =∠ECB                                 opposite interior angle and substracting  

                                                          (∠DEC=∠EBD=90°) from both side

c.ED=EC                                    c corresponding sides of equal angle in

                                                        isosceles triangle are equal

2 ∴ triangle AED  is congruent to BEC 2. by A.A.S axiom

The answer is DEE>NUTS

2. How much interest is earned on a principal of $200 invested at an interest rate of 9% for eight
years?
Answer:

Answers

Answer: 177

Step-by-step explanation:

Can someone please help me with this proof?!

Given: AC and BD bis, each other.

Prove: ABCD is a parallelogram

Answers

Answer:

because AC and BD bis => AX = XC; BX = XD

ΔAXD ≅ ΔCXB (SAS) because: AX = CX

                                                    DX = BX

                                                    m∠AXD = m∠BXC ( 2 opposing angles)

because ΔAXD ≅ ΔCXB (SAS)

=> AD = BC and m∠DAX = m∠BCX

because m∠DAX = m∠BCX => AD//BC

ABCD has AD = BC and AD//BC => ABCD is a parallelogram

Step-by-step explanation:

A curve is such that (dy)/(dx) = 12/(2x + 1) ^ 2 and P(1, 5) is a point on the curve . (i) The normal to the curve at P crosses the x-axis at Q. Find the coordinates of Q (ii) Find the equation of the curve. (iii) A point is moving along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.3 units per second. Find the rate of increase of the y-coordinate when x=1

Answers

(i) The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].

(ii) The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].

(iii) The rate of increase of the y-coordinate is 1.2 units per second.

(i) By analytical geometry, we know that the slope of a line normal of a curve ([tex]m_{\perp}[/tex]) by the following expression:

[tex]m_{\perp} = - \frac{1}{\frac{dy}{dx} }[/tex] (1)

Where [tex]\frac{dy}{dx}[/tex] is the slope of the line tangent to the curve.

If we know that [tex]x = 1[/tex], then the slope of the normal to the curve is:

[tex]\frac{dy}{dx} = \frac{12}{2\cdot (1)+1}[/tex]

[tex]\frac{dy}{dx} = 4[/tex]

And the slope of a line normal of a curve is:

[tex]m_{\perp} = -\frac{1}{4}[/tex]

By definition of secant curve we calculate the remaining coordinate of the point Q:

[tex]m_{\perp} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (2)

Where:

[tex]x_{P}[/tex], [tex]x_{Q}[/tex] - x-coordinates of points P and Q. [tex]y_{P}, y_{Q}[/tex] - y-coordinates of points P and Q.

If we know that [tex](x_{P}, y_{P}) = (1, 5)[/tex], [tex](x_{Q}, y_{Q}) = (x, 0)[/tex] and [tex]m_{\perp} = -\frac{1}{4}[/tex], then the remaining coordinate of point Q is:

[tex]-\frac{1}{4} = \frac{0-5}{x-1}[/tex]

[tex]-\frac{1}{4}\cdot (x-1) = -5[/tex]

[tex]-\frac{1}{4}\cdot x +\frac{1}{4} = -5[/tex]

[tex]\frac{1}{4}\cdot x = \frac{21}{4}[/tex]

[tex]x = 21[/tex]

The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].

(ii) The equation of the curve is derived by separating the variables and integrating the resulting expression:

[tex]dy = \frac{12}{2\cdot x + 1}\,dx[/tex]

[tex]\int\, dy = 6\int {\frac{2\,dx}{2\cdot x + 1} }[/tex]

[tex]\int \, dy = 6\int {\frac{du}{u} }[/tex]

[tex]y = 6\cdot \ln u[/tex]

[tex]y = 6\cdot \ln (2\cdot x + 1)+C[/tex]

And the integration constant is found for [tex](x,y) = (1, 5)[/tex]:

[tex]5 = 6\cdot \ln(2\cdot 1 + 1) + C[/tex]

[tex]C = -1.592[/tex]

The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].

(iii) The rate of increase of the y-coordinate by using the differential equation presented in statement and the definition of rate of change:

[tex]\frac{dy}{dt} = \left(\frac{12}{2\cdot x +1}\right)\cdot \frac{dx}{dt}[/tex] (3)

If we know that [tex]\frac{dx}{dt} = 0.3[/tex] and [tex]x = 1[/tex], then the rate of increase of the y-coordinate is:

[tex]\frac{dy}{dt} = \left[\frac{12}{2\cdot (1)+1} \right]\cdot (0.3)[/tex]

[tex]\frac{dy}{dt} = 1.2[/tex]

The rate of increase of the y-coordinate is 1.2 units per second.

To learn more on differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911

i). The coordinates of Q is equal to:

[tex](x,y) = (21, 0)[/tex]

ii). The equation of the curve is:

[tex]y = 6. In(2.x + 1) - 1.592[/tex]

iii). The rate of increase for y-coordinate when x = 1:

[tex]1.2 units[/tex] per second

i). Using analytical geometry,

[tex]xp[/tex] and [tex]xq[/tex] are the P and Q's x-coordinates.

[tex]yp[/tex] and [tex]yq[/tex] are the P and Q's y-coordinates.

Since ([tex]xp[/tex], [tex]yp[/tex]) = (1,5) and ( [tex]xq[/tex], [tex]yq[/tex]) = [tex](x, 0)[/tex] and m⊥ = - 1/4, the left coordinate of Q's point:-

-1/4 = (0-5)/(x - 1)

∵[tex]x = 21[/tex]

Thus, the coordinates of y = (21, 0)

ii). Through isolating the variables and employing integration:-

[tex]dy = \frac{12}{(2.x + 1)} dx[/tex]

by integration and integration constant (1,5), the equation is:

[tex]y = 6. In(2.x + 1) - 1.592[/tex]

iii). The rate of increase for y-coordinate:

[tex]dy/dt[/tex] = [tex]\frac{(12)}{(2.1 + 1)} .0.3[/tex]

∵ [tex]dy/dt[/tex] [tex]= 1.2[/tex]

Thus, the rate of increase for y-coordinate when x = 1 is 1.2 units per second.

Learn more about "Co-ordinates" here:

brainly.com/question/21902081

Can someone please solve this before I get my phone taken away?

Answers

Answer:

option 1 or should be

Step-by-step explanation:

4/1.5 is 2.6 and 2/3 as a fraction is 66666 so yeah

The post office sold 39-cent
commemorative stamps in sheets
of 25 stamps. What was the price
for the sheet of stamps?

Answers

Answer: $9.75.

Step-by-step explanation:

Given: Cost per stamp  = 39 cents

since 1 dollar = 100 cent , so 1 cent = 0.01 dollar

So,  Cost per stamp  = $0.39

Total stamps = 25

Cost of 25 stamps = (Cost per stamp)  x (Cost per stamp)

=$0.39 x 25

= $9.75

Hence, the price  for the sheet of stamps = $9.75.

Many counties in Texas missed many school days in the fall of 2017 due to hurricanes
that year. A solution for how to make up those
days was to add time to each school day
for a portion of the year. It was decided that in order to make up a 6 hour school day, 10
minutes would be added to each day. How many extended days would be needed to
make up 3 school days?

Answers

Apá me voy bye a mi baby you and you mom me he levantado de mi cama a la

Which expression is equivalent to (2x^2+3x-4)-(x^2-2x+4)​

Answers

Answer:

3x + 2 = 14

Step-by-step explanation:

What is 708 divided by 67 with a remainder?

Answers

Answer:

its 10 with the remainder of 38

Step-by-step explanation:

The result of the division is remainder = 38 and quotient = 10

What is division?

Division is the opposite of multiplying. When we know a multiplication fact, we can find a division fact: Example: 3 × 5 = 15, so 15 / 5 = 3. Also, 15 / 3 = 5.

Given that, 708 divided by 67

When dividing 708 by 67 will get 10 as quotient and 38 remainder

Hence, the result of the division is remainder = 38 and quotient = 10

Learn more about division, click;

https://brainly.com/question/21416852

#SPJ2

Parallel or perpendicular 3x+5y=10 and 5x-3y=-6

Answers

3x+5y=10 and 5x-3y=-6 is perpendicular.

3 + 2p - 4 = 11

algebra 1 solving equations

Answers

Answer: the variable is p=6 .

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

p = 6

Step-by-step explanation:

Step 1: Simplify both sides.

3 + 2p − 4 = 11

3 + 2p + −4 = 11

(2p) + (3+−4) = 11 (Combine Like Terms)

2p + −1 = 11

2p − 1 = 11

Step 2: Add 1 to both sides.

2p − 1 + 1 = 11 + 1

2p = 12

Step 3: Divide both sides by 2.

2p/2 = 12/2

p=6

LESS THAN 5 MIN!!! WILL GIVE BRAINLIEST


Raise to the power:

(–xn)^4

Answers

Answer:

x^4n^4

Step-by-step explanation:

Answer:

[tex]n^{4} x^{4}[/tex]  

I really hope this helps!

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