Find the common ratio of the geometric sequence 17, -51, 153, ...

Answer:

-8 is less than -1

Step-by-step explanation:

If you look at a number line

-8 -7 -6 -5 -4 -3 -2 -1 0

Which one is closest to 0. -1, therefore it is greater

The set of all numbers shown on the number line 8 < -1.

A number line is a horizontal line that has numbers in equal intervals. The numbers included on the line can be negative or positive taking zero as a reference point at the center called the origin.

The horizontal straight lines in which the integers are placed in equal intervals increase as we go right. The horizontal straight lines in which the integers are placed in equal intervals decreases as we go left.

A number line can be described as an instant line with numbers positioned at identical intervals or segments alongside its period. a variety of lines may be extended infinitely in any route and is commonly represented horizontally.

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Answer: Day 4 and 15

Step-by-step explanation:

Set up system of equations:

[tex]25x+136=-x^2+44x+76[/tex]

Simplify:

[tex]x^2-19x+60=0[/tex]

Factor: Both factors must be positive as the days can only be natural numbers.

[tex](x-15)(x-4)=0[/tex]

x=4,15

[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]

Answer:

Express your answer using positive exponent.

[tex]\bold{(5st³u^{9}v^{7})(6s⁴t^{6}uv)}[/tex]

adding power of common term and multiply constant term:

[tex]\bold{5*6*s^{1+4}*t^{3+6}*u^{9+1}*v^{7+1}}[/tex]

[tex]\bold{30s^{5}*t^{9}*u^{10}*v^{8}}[/tex]

[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]

Answer:

[tex]30s^5t^9u^{10}v^8[/tex]

Step-by-step explanation:

We'll be using the following exponent property to solve this problem:

[tex]a^b\cdot a^c=(a)^{b+ c}[/tex]

This will allow us to combine terms with the same variable.

In [tex](5st^3u^9v^7)(6s^4t^6uv)[/tex], we have four variables, [tex]s[/tex], [tex]t[/tex], [tex]u[/tex], and [tex]v[/tex].

Let's start with the [tex]s[/tex] terms, [tex]5s[/tex] and [tex]6s^4[/tex]. The number in front of each term is called the coefficients, and can be multiplied directly. Remember that if there is no exponent written, it's the same thing as if there was an exponent of 1.

Therefore, combine using the exponent property I mentioned above:

[tex]5\cdot 6\cdot s^1\cdot s^4=30\cdot s^{1+4}=30s^5[/tex]

Next, we'll move on to the [tex]t[/tex] terms, [tex]t^3[/tex] and [tex]t^2[/tex].

Combine using the exponent property:

[tex]t^3\cdot t^6=t^{3+6}=t^9[/tex]

Repeat for the [tex]u[/tex] and [tex]v[/tex] terms:

[tex]u^9\cdot u=u^{9+1}=u^{10}[/tex]

[tex]v^7\cdot v=v^{7+1}=v^8[/tex]

Finally, combine all the terms together:

[tex]\implies \boxed{30s^5t^9u^{10}v^8}[/tex]

Answer:

Sinx=4/16=1/4

x=Sin^-1(1/4)

? =14.47°

OAmalOHopeO

The measure of the unknown angle is approximately 14°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjacent/hypotenuse and

tan = opposite/adjacent.

From, The given diagram, With respect to the reference unknown angle,

the opposite side is 4 units and the hypotenuse is 16 units.

We know, sin = opposite/hypotenuse.

Therefore, sinФ = 4/16.

sinФ = 1/4.

Ф = sin⁻¹(1/4).

Ф = 14°.

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Answer:

a)

Step-by-step explanation:

Answer: Her sister's age 3 years ago = x

so, her age now = x+3

so Janice's present age = 2/3 of (x+3) {as Janice's present age is two-third of her sister's age now}

Therefore, Janice's age determining the value of x is 2/3 of (x+3).

answer is 15%

Step-by-step explanation:

cost prices of book =160

selling prices of book =136

now,rate of discount =loss% (as discount only leads to some kind of loss)

so CP>SP

so loss=CP-SP =160-136=24

loss%= (loss/CP)÷100

=(24/160)÷100

=15%

so rate of discount =15%

[tex]\bf \large \rightarrow \: \:2x \: \: ( \: 4 {x}^{2} \: - \: 3xy \: + \: {y}^{2} \: )[/tex]

[tex]\bf \large \rightarrow \: \: 8 {x}^{3} \: - \: 6 {x}^{2}y \: + \: 2x {y}^{2} [/tex]

Option ( B) is the correct answer

Answer:

(x-6)^2+(y-14)^2=4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

(f(-3+h)-f(-3))/h=(5(-3+h)^2-5(-3)^2)/h=(5*(-3+h-3)(-3+h+3))/h=-30*h/h=-30

Answer:

a) X=75°

y= 105°

b) b= 120°

a=45°

d) r=75°

q=37°

p= 37°

e) y=100°

X= 143°

Step-by-step explanation:

soln no. a

here,

X+50+55=180(sum of all angle of triangle)

or, X= 180-105

or, X= 75°

again,

X+y = 180 (straight angle)

or, y= 180-75

or, y= 105°

soln no b

here,

b+60=180(straight angle)

or, b = 180 - 60

or, b = 120°

again,

a+60+75=180(sum of all angle of triangle)

or, a = 180- 135

or, a = 45°

soln no. d

here,

r=70°( alternate angle)

again,

73°+q+r=180( sum of all angle of triangle)

or,q=180-143

or,q=37°

again,

p=q=37(alternate angle)

soln no. e

y+80=180(straight angle)

or,y= 180-80

or, y = 100°

again,

63+80+<RMB=180(sum of all angles of triangle)

or, 143+<RMB=180

or, <RMB=180-143

or,<RMB= 37°

again,

X+ <RMB= 180(straight angle)

or,X= 180°-37°

or, X = 143°

Answer:

0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).

Step-by-step explanation:

This question is solved treating these probabilities as Venn events.

I am going to say that:

Event A: Person invests in stocks.

Event B: Person invests in bonds.

65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks

This means that [tex]P(A) = 0.65[/tex]

38% end up investing in bonds

This means that [tex]P(B) = 0.38[/tex]

36% end up investing in both stocks and bonds.

This means that [tex]P(A \cap B) = 0.36[/tex]

What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?

This is [tex]P(A \cup B)[/tex], given by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Considering the values we have for this problem:

[tex]P(A \cup B) = 0.65 + 0.38 - 0.36 = 0.67[/tex]

0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).

Answer:

I assume that the function is:

[tex]f(x) = \frac{1}{4}*8^x[/tex]

Now let's describe the general transformations that we need to use in this problem.

Reflection across the x-axis:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

Reflection across the y-axis:

For a general function f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

Then a reflection across the y-axis, and then a reflection across the x-axis is just:

g(x) = -(f(-x)) = -f(-x)

In this case, we have:

[tex]f(x) = \frac{1}{4}*8^x[/tex]

then:

[tex]g(x) = -f(-x) = -\frac{1}{4}*8^{-x}[/tex]

Now we can graph this, to get the graph you can see below:

Answer:

A. Obtuse

Step-by-step explanation:

Angle R is greater than 90°.

Answer:

Obtuse

Step-by-step explanation:

We know this because the angle is larger than 90 degrees which is also known as an obtuse :)

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

1/2(8x - 4) = 2x

Step 2: Solve for x

Answer:

x = 2/3

Step-by-step explanation:

(8x − 4) = 2x

8x - 4 = 2x

6x = 4

x = 2/3

Answer:

Solution given;

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

Cos (x-[tex]\frac{5}{6}[/tex])=Cos45°

equating corresponding value

(x-[tex]\frac{5}{6}[/tex])=45°

x=45°+5/6

x=45.83°

Answer:

y=3x-1

Step-by-step explanation:

Answer:

Y = 3X + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

6x - 2y + 10 = 0 ( subtract 6x + 10 from both sides )

- 2y = - 6x - 10 ( divide terms by - 2 )

y = 3x + 5 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , so

y = 3x + c ← is the partial equation

To find c substitute (- 2, 7 ) into the partial equation

7 = - 6 + c ⇒ c = 7 + 6 = 13

y = 3x + 13 ← equation of line in slope- intercept form

Answer:

Probability of dying on the birthday is:

Probability of not dying on the birthday is:

Probability of blue-eyed boy is:

Total frequencies = 10

Frequency of 7 and greater is 4: 7, 8, 9, 10

Required probability:

Answer:

5:30 PM

Step-by-step explanation:

35 mp ½ hour = 70 mph

245 miles ÷ 70 mph = 3½ hours

2PM + 3½ hours = 5:30 PM

Answer:

The first one is the answer.

Step-by-step explanation:

It's an arithmetic sequence. It has a common difference.

d = an - a_n-1

an = -12x + 12

a_n-1 = - 7x + 8

d = -12x + 12 - (-7x + 8)

d = -12x + 12 + 7x - 8

d = -5x + 4

Try  it. Let's try for the third term

-12x + 12 - 5x + 4

- 17x + 15 which is exactly what the third term is.

Answer:

Step-by-step explanation:

-4 and -3

Answer:

-4 and 3 because I tookt the test and the other guy was right too

Answer:

180 km

Step-by-step explanation:

1 cm=12 km

15 cm=12×15=180 km

Answer:

000

Step-by-step explanation:

000

Answer:

Graph A → Equation A → Table B → Property D

Graph D → Equation B → Table A → Property B

Graph B → Equation C → Table C → Property E

Graph C → Equation D → Table E → Property A

Graph E → Equation E → Table D → Property C

Step-by-step explanation:

Graph A corresponds to equation A, x·y = 2, and Table B → Property D

xy = 2 has a vertical asymptote at x = 0, and a horizontal asymptote at y = 0

y = 2/x, when x = 0, y = ∞

Graph D corresponds to equation B, [tex]-\left | x\right |[/tex] + 1 which corresponds to table A → Property B

The domain extends from (-∞, ∞), and [1, -∞)

Graph B corresponds to equation C, -(x + 2)² which gives the values in Table C and Property E wich is a horizontal shift of 2 units left and a reflection across the x-axis

Graph C corresponds to equation D, (1/3)·x - 2, which gives the values on Table E and Property A

The y-intercept of (1/3)·x - 2 = (0, -2), and the x-intercept = (6, 0)

Graph E corresponds to equation E, x³ = y, which gives the values on Table D  Property C, y is x cubed

Answer:

please mark me brainlist

Step-by-step explanation:

Answer:

y-4=4(x+2)/7

Step-by-step explanation:

slope(m) = (8-4)/(5-(-2)) =4/7

b = 4-(4/7)×(-2) = 36/7

y = mx+b

y = 4x/7+36/7

in point-slope form,

y-4=4(x+2)/7

Answer:

The relation between individual and society is very close. Essentially, “society” is the regularities, customs and ground rules of antihuman behavior. ... Man is biologically and psychologically equipped to live in groups, in society. Society has become an essential condition for human life to arise and to continue.

Answer:

B: y = {-13, -5, 3, 15}

Step-by-step explanation:

Let's plug each x-value into this equation: f(x) = 4x + 3

Domain: {-4, -2, 0, 3}

First, let's start with -4:

f(x) = 4x + 3

y = 4x + 3

y = 4(-4) + 3

y = -16 + 3

y = -13

Next, let's do -2:

f(x) = 4x + 3

y = 4x + 3

y = 4(-2) + 3

y = -8 + 3

y = -5

After that, let's do 0:

f(x) = 4x + 3

y = 4x + 3

y = 4(0) + 3

y = 0 + 3

y = 3

Finally, let's do 3:

f(x) = 4x + 3

y = 4x + 3

y = 4(3) + 3

y = 12 + 3

y = 15

Now that we have all our y-values, let's set up the range:

Range (y-values): {-13, -5, 3, 15}

As you can see, the only answer choice that includes this range is B;

{-13, -5, 3, 15}.

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer: A, C, D

Step-by-step explanation:

To find which logarith simplifies to 2, we first need to know how they work.

We now know that [tex]log_a(a^x)=x[/tex].

This tells us that only A, C, D would work.

[tex]8^2=64\\ \\6^2=36\\\\10^2=100[/tex]

Note: whenever you have a log that doesn;t specify the base, it is always 10, as shown in D.