PLEASE HELP 25 MINUTES LEFT
38
Marlene wrote an arithmetic sequence where al
=
8 and the common difference is -3.
What is a rule for the nth term of this sequence?

PLEASE HELP 25 MINUTES LEFT 38Marlene Wrote An Arithmetic Sequence Where Al=8 And The Common Difference

Answers

Answer 1

Answer:

D

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = - 3 , then

[tex]a_{n}[/tex] = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D


Related Questions

A rectangular drawing is enlarged by 30%. The original dimensions of this drawing are 16cm x 24cm.
Determine the scale factor, as a fraction that represents this enlargement. What are the new, enlarged
dimensions?

Answers

Answer:

Step-by-step explanation: Scale [tex]\frac{130}{100} = \frac{13}{10}[/tex]

New dimensions [tex]16 * 1.3 --- 24*1.3 =20.8 cm * 31.2 cm[/tex]

this is another question i need hlp with

Answers

Answer:

5

Step-by-step explanation:

i = 5¹

5¹ = 5

The correct option is 5

Answer:

5

Step-by-step explanation:

Lena is asked to write an explicit formula for the graphed geometric sequence.

On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).

What value, written as a decimal, should Lena use as the common ratio

Answers

Answer:

Common Ratio = 2.5

Step-by-step explanation:

Given

Points: (1, 1), (2, 2.5), (3, 6.25)

Required

Determine the common ratio

The points can be rewritten as:

x --- f(x)

1 ---- 1

2 --- 2.5

3 ---- 6.25

The data under the x column are the domain of the function and in this case,  they are not needed;

To calculate common ration, Lena should use data in function f(x) column

Common ratio is calculated by dividing a term by the previous term;

Hence;

Common Ratio = 2.5/1 or 6.25/2.5

Common Ratio = 2.5 or 2.5

Notice that, the results are the same;

Hence, the usable common ratio is 2.5

Answer: 2.5 or "C"

Step-by-step explanation: this is right on the edge i just did the test.....Hope this helps :D

What is the exponential form of the logarithmic equation?
5 = logo.9 0.59049

Answers

^ means to the power of or exponent

logb(x) = y is b^y = x

Answer:

[tex]0.9^5=0.59049[/tex]

Step-by-step explanation:

By definition, we have:

[tex]log_ab=c\implies a^c=b[/tex]

Therefore, given [tex]log_{0.9}(0.59049)=5[/tex], assign:

[tex]a=0.9[/tex] [tex]b=0.59049[/tex] [tex]c=5[/tex]

Rewrite:

[tex]\boxed{0.9^5=0.59049}[/tex]

Which of the following is an example of exponential growth?
A. Investing $1,000 at an annual interest rate of 3%, compounded monthly
B. A bacterial culture increases by 1,000 bacteria per day
C. The height of a tree increases by 2 feet each year
D. Water drips into a bucket at a rate of 2 pints each minute

Answers

An example of an exponential function is given as follows:

A. Investing $1,000 at an annual interest rate of 3%, compounded monthly.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

As we saw above, the rate of change is a percent, and in this problem, only option A has a rate of change as a percent, hence it is an exponential function.

More can be learned about exponential functions at https://brainly.com/question/25537936

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Helpo pleasssse
On my hw I have a parabola that opens down with its vertex at (-3,-6)......
For the range would I say that {yER | y > -6} OR {yER | y < -6} ????
I'm just confused from the negative numbers

Answers

Answer: The range is  [tex]\{y \in \mathbb{R}\ | \ y \le -6\}[/tex]

Explanation:

The parabola opens down, forming a "frowny face" in a way (just without the eyes). Or you can think of it as a hill or mountain. This means that the vertex (-3,-6) is at the top of that mountain. It's the highest point of that parabola.

The range is the set of all possible y values. We see that y = -6 is the largest it can get. So y = -6 or y is smaller than this. We would then write [tex]y \le -6[/tex] to describe all the possible y values.

Therefore, the range is [tex]\{y \in \mathbb{R}\ | \ y \le -6\}[/tex]

This translates to "y is a real number such that y is -6 or smaller".

So the second answer you wrote is close, but you forgot the "or equal to" portion of the inequality sign.

See below for a visual example of what's going on.

Factor the Quadratic: 3x^2+12x-36=0

Answers

Answer:

3x ^ 2 + 12x-36 = 0

3(x²+ 4x-12)=0

3(x²-2x+6x-12)=0

3[x(x-2)+6(x-2)]=0

3(x-2)(x+6)=0

⇒[tex]\left \{ {{x-2=0} \atop {x+6=0}} \right.[/tex]⇔[tex]\left \{ {{x=2} \atop {x=-6}} \right.[/tex]

Does this graph represent a function? Why or why not?

A. No, because it is not a straight line.
O B. Yes, because it passes the horizontal line test.

Answers

Where’s the graph????????????

Solve for x.
A) -6
C) -8
B) 12
D) -10

Answers

Answer:

i believe it's -6? option a.

Step-by-step explanation:

okay.

60 degrees + a right angle, 90 degrees = 150 degrees

a triangle is normally 180 degrees.

180-150=30

so we need to get 30 from that equation, x + 36

x + 36 = 30

you solve.

x = -6

if im wrong, feel free to correct me + sub to gauthmath sub reddit if ya can !

I believe it’s a , -6

f The difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 37 vedanta Excel in Mathematics​

Answers

Answer:

15

Step-by-step explanation:

first find f which is (8-3) × ( 1/4 × 7 + 5)

simplify

5 × (1/4 ×12)

5 × 3

15 is thw answer

Need help here please and thank u

Answers

Answer:

I think C sorry if wrong

Step-by-step explanation:

i’m pretty sure it’s C

which one of the following is not true about a rectangle? A. all its angels are right angels B. its opposite angels are equal C.opposite sides are parallel D. all its sides are equal​

Answers

Answer:

I am not sure but it may be option c .

Step-by-step explanation:

I chose option c because in parallelogram the opposite sides are parallel .

HELP THANKS SO MUCH BRAIN FOR CORRECT

Answers

Answer:

i think the answet is 0.625

HELP PLS HELP MEEEEE IM FAILING PYTHAGOREAN THEOREM

Answers

7^2 + 6^2 = h^2

49 + 36 = h^2

85 = h^2

√85 = h

h = 9.21m

Answered by Gauthmath must click thanks and mark brainliest

What is the capacitive resistance of a 0.04 microfarad capacitor in a AC circuit that has a frequency of 1,000 hertz?

Answers

The capacitive reactance is approximately 4 kΩ .

Please help me with this is so confusing

Answers

Answer:

The expression for the height of the solid is:

[tex]\displaystyle h = x^2+x-9[/tex]

Step-by-step explanation:

Recall that the volume of a rectangular solid is given by:

[tex]\displaystyle V = \ell wh[/tex]

Where l is the length, w is the width, and h is the height.

We know that the volume is given by the polynomial:

[tex]\displaystyle V = 3x^4-3x^3-33x^2+54x[/tex]

And that the length and width are given by, respectively:

[tex]\displaystyle \ell = 3x \text{ and } w =x-2[/tex]

Substitute:

[tex]\displaystyle 3x^4-3x^3-33x^2+54x=(3x)(x-2)h[/tex]

We can solve for h. First, divide both sides by 3x:

[tex]\displaystyle \frac{3x^4-3x^3-33x^2+54x}{3x}=(x-2)h[/tex]

Divide each term:

[tex]\displaystyle x^3-x^2-11x+18=(x-2)h[/tex]

To solve for h, divide both sides by (x - 2):

[tex]\displaystyle h = \frac{x^3-x^2-11x+18}{x-2}[/tex]

Since this is a polynomial divided by a binomial in the form of (x - a), we can use synthetic division, where a = 2. This is shown below. Therefore, the expression for the height of the solid is:

[tex]\displaystyle h = x^2+x-9[/tex]

x = 3

x = 5

x = 0

x = 2

Answers

Answer:

x=2 is incorrect

Step-by-step explanation:

Y(2)=(3/4)*x^2=(3/4)*4=3

Please hurry I will mark you brainliest

What is the equation of the line parallel to y = 2x - 4 and with the same x - intercept as 3x – 4y = 12?

Answers

Answer:

y=2x-8

Step-by-step explanation:

Hi there!

We want to find an equation of the line parallel to y=2x-4 but has the same x intercept as 3x-4y=12

Parallel lines have the same slope, but different y intercepts

In y=2x-4, which is written in y=mx+b form, m is the slope and b is the y intercept

2 is in the place of where the slope would be, so the slope of that line is 2

That means the slope of the line parallel to it would also have a slope of 2

Here is the equation of the parallel line so far:

y=2x+b

We need to find b, the y intercept

Typically, we'll substitute a point into the equation to solve for b, but we don't have a point, yet

We're given that the new line has the same x intercept as 3x-4y=12

The x intercept is the point where the line passes through the x axis, and so the value of y at that point is 0

Let's substitute 0 for y in 3x-4y=12 and solve for x to find the x intercept

3x-4(0)=12

Multiply

3x=12

Divide both sides by 3

x=4

So the value of the x intercept is 4. As a point, it's (4,0)

So now substitute the values of the point (4,0) into y=2x+b to find b

0=2(4)+b

Multiply

0=8+b

Subtract 8 from both sides

-8=b

Substitute -8 as b into the equation

y=2x-8

Hope this helps!  

ASAP HELP PLS NO WRONG ANSWERS------------

Answers

Answer

d = 12

Step-by-step explanation:

square root 4y - 3 = d - y where y = 7

Substitute y for 7

Square root 4(7) - 3 = d - (7)

Multiply 4 and 7

Square root 28 - 3 = d - (7)

Subtract 28 - 3

Square root 25 = d - (7)

Square root 25

5 = d - (7)

Add 7 to both sides

12 = d


Therefore, d = 12

Answer:

d=2

Step-by-step explanation:

We are given equation:

sqrt(4y-3)=d-y

Squaring both sides gives:

4y-3=(d-y)^2

Applying the identity (x+y)^2=x^2+2xy+y^2 on right:

4y-3=d^2-2dy+y^2

Now let's y=7:

4(7)-3=d^2-2d(7)+(7)^2

Simplify:

25=d^2-14d+49

Subtract 25 on both sides:

0=d^2-14d+24

Factor left:

0=(d-12)(d-2) since -2+-12=-14 and -2(-12)=24

This gives d=12 or d=2.

The d that makes d-y or I mean d-7 negative will give us y=7 as extraneous

Since 2-7 is -5, then d=2 is what we are looking for.

Check:

sqrt(4y-3)=d-y

Set d=2: sqrt(4y-3)=2-y

Now solve for y:

Square both sides: 4y-3=4-4y+y^2

Subtract 4y and 3 on both sides: 0=7-8y+y^2

Reorder right side: 0=y^2-8y+7

Factor: 0=(y-7)(y-1) since -7+-1=-8 and -7(-1)=7

This gives y=7 or y=1.

Plugging in y=7 for a check to this equation gives:

sqrt(4×7-3)=2-7

Sqrt(25)=-5

5=-5 which is not true which is what we wanted

PLEASE SOMEONE ANSWER THIS ASAP!!!

Given the geometric sequence with the first three terms shown below, answer the following questions.

4,-8, 16,...

Write the explicit formula for this sequence.

What is the 12th term of the sequence?

PLEASE ANSWER I HAVE AN IMAGE INCLUDED IF NEEDED !!

Answers

Step-by-step explanation:

r = -8/4 = -2

t1 = 4

the general formula :

tn = t1. r^(n-1)

tn = 4. (-2)^(n-1)

t12 = 4. (-2) ^(12-1)

= 4. (-2)^11

= 4. (-2,048)

= - 8,192

Does anyone know the answer for this?

Answers

Answer:

I'm pretty sure it's the 3rd option

Answer:

first option is correct

Step-by-step explanation:

because there are less no. on negative side than on positive one

8x(x-2017)-2x+4034=0

Answers

Answer:

¼ và 2017

Step-by-step explanation:

can you find the answer for m

Answers

Answer:

m∠LMK = 50°

Step-by-step explanation:

This is an isosceles triangle. Isosceles triangles have two sides of equal length and two equal angles. This means ∠K and ∠M will have the same degrees.

The sum of the angles of a triangle is 180°. The following equation can be arranged and solved for the missing angles:

[tex]x+x+80=180\\2x+80=180\\2x=100\\x=50[/tex]

Therefore, m∠LMK = 50°.

please help don’t understand question!

Answers

Answer:

[tex]{ \sf{ - 2 {a}^{5} + 4 {a}^{4} + 5 {a}^{3} + \frac{2}{3}a }}[/tex]

Answer:

D

Step-by-step explanation:

A polynomial is in standard equation when the degree of the polynomial are in descending order.

8. If a prism is 15cm high with its base a triangle having sides 6cm, 8cm and 10cm. Find its volume. (a) 350cm (b) 30cm (c)460cm3 (d)90cm3

Answers

Answer:

360cm³

Step-by-step explanation:

Volume of a triangular prism = Base area * Height of prism

Height of prism = 15cm

Base area = 1/2 * 6 * 8

Base area = 24cm²

Volume of the prism = 15 * 24

Volume of the prism = 360cm³

La señora Angélica fue al mercado y compró 2 visores protectores y 1 mascarilla, pagó $55.00, en total. En el mismo puesto, la señora Silvia compró 1 visor protector y 2 mascarillas y pagó $50.00. ¿Cuál es el precio de una mascarilla? ¿Cuáles el precio de un visor protector?

Answers

Answer:

Cost of 1 goggles = $20

Cost of 1 mask = 15

Step-by-step explanation:

Given:

Cost of 2 goggles and 1 mask = $55

Cost of 1 goggles and 2 mask = $50

Find:

Cost of each goggles and mask

Computation:

Assume;

Cost of 1 goggles = a

Cost of 1 mask = b

So,

2a + b = 55.....EQ1

a + 2b = 50.......EQ2

EQ1 x 2

4a + 2b = 110 ......EQ3

EQ3 - EQ2

3a = 60

a = 20

Cost of 1 goggles = $20

a + 2a = 50

20 + 2b = 50

2b = 30

b = 15

Cost of 1 mask = 15

.

An airplane flies a distance of 800km from A to B. If its average speed is 600km/h, how long does it take to cover that distance?​

Answers

Answer:

1 hour 33 minutes

Step-by-step explanation:

distance/speed= time

d =800/600

d=1.33

The aeroplane takes 1.33 hours to traverse a distance of 800 km.

What is the speed of an object?

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: An airplane flies a distance of 800 km with an average speed of 600 km/h

Thus the time taken by the aeroplane to cover that distance is

t=800/600

t=4/3

t=1.33 hours

Hence, The aeroplane takes 1.33 hours to traverse a distance of 800 km.

Learn more about the speed of an object here:

https://brainly.com/question/28224010

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use the ratio of a 45-45-99 triangle to solve for the variables.​

Answers

hopefully this answer can help you to answer the next question.

The graph of g(x) = (x + 2)2 is a translation of the graph of f(x) ____ by ____ units.

Answers

Step-by-step explanation:

VERY EASY FOR ME

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann h

ypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

SO 6+/7× and 78/+×

ANSWER

A garden is rectangular with a width of 8 feet and a length of 10 feet. If it is surrounded by a walkway 2 feet wide, how many square feet of area does the walkway cover?

Answers

Answer:

The rea of walk way is 32 ft^2.

Step-by-step explanation:

width, w = 8 feet

length, L = 10 feet

width of walkway, d = 2 feet

length of outer, L' = 10 + 2 + 2 = 14 feet

Area of outer, A' = L' x w = 14 x 8 = 112 ft^2

Area of inner, A = L x w = 10 x 8 = 80 ft^2

The area of walkway = A' - A = 112 - 80 = 32 ft^2

The rea of walk way is 32 ft^2.

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