Identify the two pairs of complementary angles in the figure above. Justify your answer.

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

[tex]r=\dfrac{a_2}{a_1}[/tex]

[tex]r=\dfrac{560}{1120}[/tex]

[tex]r=0.5[/tex]

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where a is the first term and r is the common ratio.

Putting [tex]a=1120, r=0.5[/tex], we get

[tex]a_n=1120(0.5)^{n-1}[/tex]

Therefore, the required formula for the given sequence is [tex]a_n=1120(0.5)^{n-1}[/tex].

We need to find the 10th term of the given sequence. So, substituting [tex]n=10[/tex] in the above formula.

[tex]a_{10}=1120(0.5)^{10-1}[/tex]

[tex]a_{10}=1120(0.5)^{9}[/tex]

[tex]a_{10}=1120(0.001953125)[/tex]

[tex]a_{10}=2.1875[/tex]

Therefore, the 10th term of the given sequence is 2.1875.

Answer:

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately 0%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

If the daily returns on the stock market are normally distributed with a mean of .05% and a standard deviation of 1%

This means that [tex]\mu = 0.05, \sigma = 1[/tex]

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately

This is the p-value of Z when X = -23. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{-23 - 0.05}{1}[/tex]

[tex]Z = -23.05[/tex]

[tex]Z = -23.05[/tex] has a p-value of approximately 0. So

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately 0%.

Answer:

c=17

Step-by-step explanation:

(5+c)/2=11

5+c=22

c= 22-5

c=17

Answer: 19/8 or 2 and 3/8

Step-by-step explanation:

Answer:

C. y = 8x

Step-by-step explanation:

Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.

[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]

Marisol:

[tex]m = \frac{18-12}{3-2} \\m=6[/tex]

Timothy:

[tex]m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9[/tex]

Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.

Answer:

The correct option is d: All real numbers.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that we can input in that function.

A general way to find the domain of a function is:

First, assume that the domain is the set of all real numbers.

Then, look at restrictions implied:

like in functions like:

f(x) = 4   if x > 3

Here the domain of the function is implied.

Third, let's find values of x that make "problems" with our function (for example, a zero in the denominator) and then remove these points from the domain.

In this case, we have a quadratic function:

y = a*x^2 + b*x + c

Here we do not have any problem (like a zero in a denominator), and we do not have any restrictions (We only know that the parabola is U shaped, so it is a function, and that its vertex is (2, 3) )

Then we can conclude that the domain of this function is the set of all real numbers.

The correct option is d: All real numbers.

Step-by-step explanation:

16-6=10

because 16.058 rounds down

6.143 rounds down

Step-by-step explanation:

perimeter o rectangle is 16

Answer:

Step-by-step explanation:

perimeter of rectangle=2(l+b)

=2(8+4)

=2*12

=24 ft

Answer:

Hello! answer: 80

Step-by-step explanation:

8 × 4 = 32 32 ÷ 2 = 16 16 × 4 = 64

4 × 4 = 16 64 + 16 = 80 therefore 80 is the answee Hope that helps!

Answer:

[tex]80~in^2[/tex]

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hope it helps...

have a great day!!

Answer:

y = (x + 4)(x - 9)

Step-by-step explanation:

x = {-4, 9}

y = (x + 4)(x - 9)

Answer:

A. y=-1/3x+10

Step-by-step explanation:

Perpendicular gradients(slopes) are negative reciprocals so

m=-1/3  then use the point (6,8) to find the equation of the line

y=mx+b

8=(-1/3)(6)+b

8=-2+b

b=10

y=-1/3x+10

Answer:

angle B = angle C

Step-by-step explanation:

______________

Step-by-step explanation:

hdjsje dhd d sis s. sjxjdns

Answer:

12p -1

Step-by-step explanation:

(7p+3)+(5p-4)

Combine like terms

7p+5p +3-4

12p -1

Answer:

15 belongs to the set of natural numbers , whole numbers , integers & rational numbers.

Step-by-step explanation:

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

N = Set of all natural numbers

W = Set of all whole numbers

Z = Set of all integers

Q = Set of all rational numbers

It can be said that :-

Hence , N ⊂ W ⊂ Z ⊂ Q

SOLUTION :-

Method 1 -

{15} ⊂ N (∵ 15 is an element of set N. {15} a singleton set & it can be called as the subset of N )

⇒ {15} ⊂ N ⊂ W ⊂ Z ⊂ Q

∴ 15 belongs to the set of natural numbers , whole numbers , integers & rational numbers too.

Method 2 -

Answer:

5°

Step-by-step explanation:

3w= w +10

3w-w=10

2w =10

w= 10/2

w= 5

Answer:

See the attachment ⬆️⬆️

Answer:

It would be 24.4 pounds.

Step-by-step explanation:

First do: 13.4 / 100 = 0.134

Then, 182 * 0.134,

to get 24.4 pounds.

Answer:

[tex]A) \displaystyle g(x) = 4 {x}^{2} + 2[/tex]

Step-by-step explanation:

recall that,

[tex] \displaystyle \rm Q _{ \text{standard}} :g(x) = {ax}^{2} + bx + c[/tex]

remember that,

since the Parabola squashes inwards we assume a=4

we know that,

as the Parabola goes upwards by 2 units we assume c is 2

hence,

our best answer choice is a

Answer:

Step-by-step explanation:

[tex]\frac{1879}{2610} = 0.719 = 72[/tex]

Answer:

The acceleration vector of the particle at time t=3 is (6,5).

Step-by-step explanation:

Acceleration:

The acceleration is the derivative of the velocity.

Derivative of a vector:

To derivate a vector, we derive each component.

v(t)=(t^2, 5t)

So

a(t) = v'(t) = (2t, 5).

What is the acceleration vector of the particle at time t=3?

a(3) = (2*3, 5) = (6,5)

The acceleration vector of the particle at time t=3 is (6,5).

Answer:

$1346.40

Step-by-step explanation:

Find the volume of the pool first:

volume = cubiod + triangular prism

volume = (8*6*8) + (8*6*6)/2

volume = 528 cubic feet

price = price per cubic foot * cubic feet

price = $2.55 * 528 cubic feet

price = $1346.40

Answer:

9/4

Step-by-step explanation:

45/(y+7)+11

y=2

45/(2+7)+11

45/9+11

45/20

9/4

If this helps please mark as brainliest

Answer:

16

Step-by-step explanation:

45 ÷ (y + 7) + 11

45 ÷ (2 + 7) + 11

45 ÷ (9) + 11

5 + 11

16

Answer:

Absolute error = 0.6m

Percentage error = 6%

Step-by-step explanation:

Given that :

Actual height = 10.4 m

Estimated height = 11 m

Tbe percentage error :

The absolute error :

|Actual value - Estimated value|

|10.4 - 11| = 0.6 m

Percentage error :

|Actual value - Estimated value| / actual value * 100%

(0.6 / 10) * 100%

0.06 * 100%

= 6%

Answer:

15 is the answer

Step-by-step explanation:

20×4=80

80-65=15

Answer:

The answer is 15

Step-by-step explanation:

(20×4)-65=15

Answer:

whats the problem

Step-by-step explanation:

Answer: $8.45

Step-by-step explanation:

Answer:

1300 cm = 13 m

Step-by-step explanation:

We need to find meters in 1300 cm.

We know that,

1 m = 100 cm

1 cm = (1/100) m

It means,

[tex]1300\ cm=\dfrac{1300}{100}\ m\\\\=13\ m[/tex]

Hence, there are 13 m in 1300 cm.