The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...? an = 4 · ( ) n - 1 an = 2 · 4 n - 1 an = 32 · 2 n - 1 an = 4 · 2 n - 1

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Answer:

The answer is 3⁴ or 81 :)

Answer:

A. x = 3, y = 2

Step-by-step explanation:

The hypotenuse and the length of one leg of one right triangle must be equal to the hypotenuse and corresponding length of the one leg of the other ∆ for both triangles to be equal by the HL Congruence Theorem.

Thus, let's find x and y by setting the corresponding lengths of the two right ∆s equal to each other.

Therefore:

x = y + 1 ----› eqn. 1

2x + 3 = 3y + 3 ----› eqn. 2

Substitute x = (y + 1) into eqn. 2, and solve for y.

2x + 3 = 3y + 3 ----› eqn. 2

2(y + 1) + 3 = 3y + 3

2y + 2 + 3 = 3y + 3

2y + 5 = 3y + 3

Collect like terms

2y - 3y = -5 + 3

-y = -2

Divide both sides by -1

y = 2

Substitute y = 2 into eqn. 1.

x = y + 1 ----› eqn. 1

x = 2 + 1

x = 3

Answer:

No solutions

Step-by-step explanation:

In this question, you would be solving for x.

Solve:

5 + 2(3 + 2x) = x + 3(x + 1)

Use the distributive property.

5 + 6 + 4x = x + 3x + 3

Combine like terms.

11 + 4x = 4x + 3

Subtract 4x from both sides.

11 = 3

Since we don't have an "x value", there are no solutions.

"No solutions" would be your answer.

Answer:

There is no expression to evaluate.

Step-by-step explanation:

Answer:

0.45 miles per minute and 6.75

Step-by-step explanation:

27/60=0.45<-- Miles per minute

0.45x15=6.75<--Miles in 15 minutes

Hope this helps pls give brainliest

Answer:

122 tickets were sold for adults and the rest is for children.

Step-by-step explanation:

Answer:

25 metres per second

Step-by-step explanation:

just divide 100 by 4 and you will get the answer.☺️☺️

Answer:

25 m/s

Step-by-step explanation:

train a travels at 12.5 m/s and will arrive at 100m in 7s.

train b arrives at the same distance, 100m, in 4s. so that means train b is going at 100m/4s and then simplify that

therefore train b is moving at 25m/s

Answer:

The degree of the polynomial is 5

Step-by-step explanation:

When we talk of the degree of a polynomial, we refer to the highest power

The highest power here is 4 but that is not the degree in this case

If we notice, there are two different variables attached to the number

One has a degree of 4 and the other has a degree of 1

What we do here is to add these degrees together

The addition of both is 5 and that is the degree of the polynomial

Step-by-step explanation:

RS bisects PQ at T. PQ bisects RS at T.

prove: Triangle PTS congruent Triangle QTR

(1) RS bisects PQ at T.................(1) Given

(2) PQ bisects RS at T.................(2) Given

(3) angle PST ≅ angle QRT........(3) supplements of congruent angles

(4) TS ≅ TR......................(4) Converse of Base Angles Theorem

(5) angle PTS ≅ angle QTR.........(5) Subtraction Property of Equality

(6) Triangle PTS ≅ Triangle QTR...(6) Angle side angle

Hope it's help you..... ^_^❤️

[tex] \underline{\underline{\sf{ \color{purple}{Given :} }}} [/tex]

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

[tex] \underline{\underline{\sf{ \color{purple}{To\:Find :} }}} [/tex]

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

[tex]\underline{\underline{\sf{ \color{purple}{Solution :} }}}[/tex]

[tex]\underline{\tt{As\:we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = 2 \times Area \: of \: semicircle}}}[/tex]

[tex] : \: \implies \sf{Area \: of \: circle = 2 \times 77cm^{2} }[/tex]

[tex]: \: \implies \sf{Area \: of \: circle =154 \: {cm}^{2} }[/tex]

━━━━━━━━━━━━━━━━━━━━━

[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = \pi r^{2}}}}[/tex]

[tex] : \: \implies \sf{ 154 = \dfrac{22}{7} \times {r}^{2} }[/tex]

[tex] : \: \implies \sf{ 7 \times 7 = {r}^{2} }[/tex]

[tex] : \: \implies \sf{ 49 = {r}^{2} }[/tex]

[tex] : \: \implies \sf{ {r}^{2} = 49 }[/tex]

[tex] : \: \implies \sf{ {r} = \sqrt{ 49} }[/tex]

[tex] : \: \implies \sf{ {r} = { 7 cm} } [/tex]

━━━━━━━━━━━━━━━━━━━━━

[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Perimeter} = \pi r + 2r }}}[/tex]

[tex] : \: \implies \sf{ Perimeter = \dfrac{22}{7} \times 7 + 2 \times 7 }[/tex]

[tex] : \: \implies \sf{ Perimeter = 22 + 14 }[/tex]

[tex] : \: \implies \sf{ Perimeter = 36 }[/tex]

[tex]\sf \therefore \: perimeter \: of \: the \: circle \: is \: 36cm[/tex]

━━━━━━━━━━━━━━━━━━━━━

Answer:

Step-by-step explanation:

let

x = price of a sweatshirt

y = trice of sweatpants

three sweatshirts and two pairs of sweatpants for $85.50

3x + 2y = 85.50

three more sweatshirts and four more pairs of sweatpants for $123

3x + 4y = 123

by solving the system of equations

3x + 2y = 85.50

3x + 4y = 123

we find

x = $16

y = $18.75

Answer:

36 dollars

Step-by-step explanation:

this is basic math just use multiplication i think u typed the problem whrong

Answer:

$16 for 4 sandwiches

Step-by-step explanation:

The answer is 16 because 12 divided by 3 is 4, and 4 multiplied by 4 is 16.

P.S Can I have brainliest?

Answer:

9 stamp

Step-by-step explanation:

Answer:

the answer is 9

Step-by-step explanation:

Answer:

2. yes, the person is walking faster between 40 and 100 seconds

Step-by-step explanation:

I'm very sorry I don't know about the first one that's a little above my knowledge level :(

Answer:

The line to graph is y=-[tex]\frac{2}{3}[/tex] -1

Step-by-step explanation:

In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).

1. Plug info into point-slope form:

y-(-5)=-[tex]\frac{2}{3}[/tex](x-6)

2. Simplify:

y+5=-[tex]\frac{2}{3}[/tex] x+4

3. Simplify even further:

y=-[tex]\frac{2}{3}[/tex] -1

To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.

Answer:

x = -19/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2x + 10 = -4x - 9

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 11/3 does indeed equal 11/3.

∴ x = -19/6 is the solution to the equation.

Answer:

here I am again

60 gallons

Step-by-step explanation:

Katie deleted my answer and I got warned

As C is the mid-point of BD.

Therefore, BC=DC ...(i)

As AB ⊥ BD and ED ⊥ BD

So, ∠ABC= 90° and ∠EDC= 90°

Therefore, ∠ABC=∠EDC= 90° ...(ii)

As two line segments, AE and BD intersect at point C, so the vertically opposite angles are equal.

Therefore, ∠BCA=∠DCE ...(iii)

Now, in ΔABC and ΔEDC,

Angle, ∠BCA=∠DCE [ from equation (iii)]

Side, BC=DC [ from equation (i)]

Angle, ∠ABC=∠EDC [ from equation (ii)]

So, by ASA property of congruency, ΔABC and ΔEDC are congruent

Hence, ΔABC ≅ ΔEDC.

Answer:

Step-by-step explanation:

3x + 4 = - 11

3x = - 11 - 4

3x = - 15

x = - 15/3

x = - 5

Answer:

x = -5

Step-by-step explanation:

3x + 4 = -11

Isolate 3x.

3x = -11 - 4

Evaluate.

3x = -15

Find x.

x = -15 ÷ 3

x = -5

Answer:

yes

Step-by-step explanation:

I'm not entirely sure what your question is, but x is directly proportional to y, meaning as as x increases at a constant rate, y also increases at a constant rate.

Therefore, we can classify the polynomial as a quadratic polynomial.

A polynomial is a mathematical expression that consists of variables and coefficients, and involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and may contain multiple terms. Each term consists of a coefficient and a variable raised to a power. The degree of a term is the power to which the variable is raised, and the degree of a polynomial is the highest degree of any of its terms. Polynomials are used in many areas of mathematics, science, and engineering, such as algebra, calculus, geometry, and physics. They are used to model real-world phenomena, to solve equations, and to approximate complex functions.

Here,

To write the polynomial 14y² - x² - 3xy in standard form, we need to arrange the terms in descending order of degree (highest degree term first) and combine like terms.

First, let's rearrange the terms:

x² - 3xy + 14y²

Now, the polynomial is in descending order of degree. We don't need to do anything else to put it in standard form.

To classify the polynomial, we count the number of terms and the highest degree of those terms. In this case, there are three terms and the highest degree term is 14y², which has degree 2.

To know more about polynomial,

https://brainly.com/question/11536910

#SPJ1

Answer:

16

Step-by-step explanation:

i think this is right

Answer:15/20 3/4

Step-by-step explanation:

Because 3 times 5 =15 and 4 times 5= 20 so that will be 15/20

Then if you multiply 3 and 4 by 1 it will give you 3/4

Answer:

15/20 3/4

Step-by-step explanation:

Answer: 1550

Step-by-step explanation:

Number of people to see the movie = 12400

Number of comedies = 2

Number of musical = 1

Number of action films = 5

The number of people that'll be be expected to choose a musical during an evening showtime will be:

= 1/8 × 12400

= 1550

Answer:

Step-by-step explanation:

11.

f(-8) = (-3/2)(-8) +11 = (24/2) +11 = 12+11 = 23

12.

g(-2) substitute x by -2 in the g( x) equation

9(-2) = (-2)²-7(-2) = 4 +14 = 18

13.

h(2/3) = | 15 -9(2/3)| = | 15 -(18/3)| = | 15 -6 | = |9| = 9

12.

the zero is at x= -2 because is the intersection of the graph with the x-axis

13.

the zero are at x=1, x= -2, x= -4 because is the intersection of the graph with the x-axis