In a sequence described by a function, what does the notation f(3) = 1 mean?
ОА. .
The common difference of the sequence is 3.
OB.
The first term in the sequence has a value of 3.
O c.
The common ratio of the sequence is 3.
OD.
The third term in the sequence has a value of 1.

Answer:

c ) 1280 m^3

here,

slant height (s)= 17m

vertical height ( h)= 15m

length (a)= ?

so,

s^2 = (a/2)^2 + h^2

(17)^2 = (a/2)^2 + 15^2

64 = (a/2)^2

8^2= (a/2)^2

8×2 = a so a = 16

Now we know

volume of pyramid

= 1/3 × a^2 × h

= 1/3 × 16^2 × 15

= 1/3 × 256 × 15

= 1280 m^3

Answer:

$33000

Step-by-step explanation:

Given data

Principal= ​$22,000

Rate= 6%

Time= 25 years

The interest to be paid is

Simple interest= PRT/100

Simple interest= 22000*6*25/100

Simple interest=3300000/100

Simple interest=$33000

Hence the total simple interest paid is $33000

Answer:

80%, 41/50, 0.83

Step-by-step explanation:

80% = 0.80

41/50 = 0.82

0.83 = 0.83

Answer:

AD = 6m

Step-by-step explanation:

Sin(30) = AD / 12

Sin(30) * 12 = AD

6 = AD

Hope this helps!

Find AD.

[tex] \sf a. \: 2\sqrt{3} \: m[/tex]

[tex] \sf b. \: 3 \sqrt{3} \: m[/tex]

[tex] \sf c. \: 6 \: m[/tex]

[tex] \sf d. \: 6 \sqrt{3} [/tex]

____________________

Here, Sin θ is 30°

Sin = [tex] \bf \frac{perpendicular}{hypotenuse} [/tex]

Here, θ is 30°

Substituting the values, We get,

∴ Sin ( 30 ) = [tex] \sf \frac{AD}{BC} [/tex]

Substituting the value of BC as 12, We get,

⇒ Sin ( 30 ) = [tex] \sf \frac{AD}{12} [/tex]

Transposing 12 to Left Hand Side, We get,

⇒ Sin ( 30 ) × 12 = AD

Calculating further, We get,

⇒ AD = 6 m

∴ AD = 6 m

The Length of AD is 6 m

Answer:

The 99% confidence interval estimate of the proportion of people who say that they voted is (0.6623, 0.7369).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a survey of 1002 people, 701 said that they voted in a recent presidential election.

This means that [tex]n = 1002, \pi = \frac{701}{1002} = 0.6996[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6996 - 2.575\sqrt{\frac{0.6996*0.3004}{1002}} = 0.6623[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6996 + 2.575\sqrt{\frac{0.6996*0.3004}{1002}} = 0.7369[/tex]

The 99% confidence interval estimate of the proportion of people who say that they voted is (0.6623, 0.7369).

Answer:

3

Step-by-step explanation:

We can use the Pythagorean thorem to solve this question

leg = [tex]\sqrt{hypotenuse^2 - leg^2} = \sqrt{(3\sqrt{5})^2 - 6^2} = \sqrt{45 -36} = \sqrt{9} = 3[/tex]

Answer:

43.98

Step-by-step explanation:

i was doing a problem like that on my math paper as well

Answer:

Step-by-step explanation:

120/6=20

Answer:

20cm

Step-by-step explanation:

120/6 = 20

Answer:

9' - 1.29"

Step-by-step explanation:

Total rise = 5' - 2"

Total run = 7' - 6"

1' = 12" = 1 feet = 12 inches

5' = 5 * 12 = 60"

3' = 7 * 12 = 84"

Total rise = 60" + 72" = 62"

Total run = 84" + 6" = 90"

Length of stringer = hypotenus

Hypotenus = √(total rise² + total run²)

Hypotenus = √(62² + 90²)

Hypotenus = 109.28860"

Convwrting back to feet and inches

= 9' - 1.29"

Answer: See explanation

Step-by-step explanation:

Interest = Principal × Rate × Time

Interest = $1500 × 5.6% × 4

= $1500 × 0.056 × 4

= $336

The total amount that will be paid will be:

= Principal + Interest

= $1500 + $336

= $1836

Answer:

20 adults and 10 children

Step-by-step explanation:

We need to find the total amount of adults and children for 30 total people (adults + children) and only 100$ for them. 30 adults is 120$. We need to take off double the amount of money that would bring it to 100$ because the cost for each child is half of an adult. That way, we have 80$ of adults, and when we fill in the rest with children, we get to 100$ total and 30 total people.

Answer:

10 children  20 adults

Step-by-step explanation:

children = c

adult = 2c (double than children)

2(c) + 4(2c) = 100

10c = 100

c = 10     10 children

30-10 = 20   20 adults

$2(10) = $20

$4(20) = $80

$20+$80 = $100

Answer:

I think it could be 28 because 28 minis 5 is 23

Answer:

Step-by-step explanation:

c

Answer:

D: {all reals}

R: {-5}

Step-by-step explanation:

Answer:

18%

Step-by-step explanation:

Hope this helps :))

Answer:

the answer is 18%

hope this helps

Answer: 3 or 9/12

Step-by-step explanation:

3/4 to 0.75

0.75 * 4 = 3

Answer:

-30

Hope this helps!

9:7 is the ratio of crayons to colored pencils.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

The ratio of crayons to colored pencils can be found by dividing the number of crayons by the number of colored pencils:

The ratio of crayons to colored pencils = 27/21

Simplifying this ratio by dividing both the numerator and denominator by 3, we get:

The ratio of crayons to colored pencils = 9/7

Therefore, the ratio of crayons to colored pencils is 9:7.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ3

Answer:

Q1 = 23 ; median = 28 ; Q3 = 36

TOP 25% = 3 students (Pauleen ; Vic and Tito).

Extra credit students : (students whose score range between 23 and 36. (score of 23 is not included).

Remediation = 4 students (Pia, Joey, Ryan and Allan

Step-by-step explanation:

Given the scores :

35, 23, 42, 36,36,27,42,28,35,18,42,25,27,18,20

Ordering the scores in ascending order :

18, 18, 20, 23, 25, 27, 27, 28, 35, 35, 36, 36, 42, 42, 42

The lower quartile :

Q1 = 1/4 * (n+1)th term

Q1 = 1/4 * 16 = 4th term

Q1 = 23

The median :

Q2 = 1/2 * (n+1)th term

Q2 = 1/2 * 16 = 8th term

Q2 = 28

The upper quartile :

Q3 = 3/4 * (n+1)th term

Q3 = 3/4 * 16 = 12th term

Q3 = 36

The top 25% refers to the student who scored beyond the 75 percentile score :

Number of students = (15th - 12th) = 3 students students who scored 42

Pauleen ; Vic and Tito.

The middle 50% gets extra credit : This is the interquartile range :

This are the students whose score range between 23 and 36. (score of 23 is not included)

Students who have to attend the remedial class are those in the lower quartile, student with score of 23 and below.

4 students and they are : Pia, Joey, Ryan and Allan

Answer:

f(x) = -7x + 1

Step-by-step explanation:

Slope intercept form is

y = mx + b

m is slope

b is y-intercept

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

y decreases by 7 for each increase of 1 in x

slope = -7

to find "b" plug in one of the points and m = -7

using point (3, -20)

y = mx + b

-20 = -7(3) + b

-20 = -21 + b

b = 1

The equation is

f(x) = -7x + 1

Answer:

C.

Step-by-step explanation:

Most people do not want personal information about sensitive topics revealed about themselves, so Topic A requires anonymity.  

With non-sensitive topics, people are usually comfortable with revealing their identity, so Topic B doesn't require anonymity.

Both a and b lie in the second quadrant, which means

π/2 < a < π

π/2 < b < π

for which we have both cos(a) and cos(b) negative, while both sin(a) and sin(b) are positive. We're also given that

cos(a) = -2/3

csc(b) = 2   =>   sin(b) = 1/2

Now, recall the following identities:

• sin^2(x) + cos^2(x) = 1

• sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

• cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

• tan(x) = sin(x)/cos(x)

Now,

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

… = √(1 - cos^2(a)) (-√(1 - sin^2(b))) + cos(a) sin(b)

* * where we take the negative square root because we expect cos(b) < 0 * *

… = - √(1 - (-2/3)^2) √(1 - (1/2)^2) + (-2/3) (1/2)

… = - √(1 - 4/9) √(1 - 1/4) - (2/3) (1/2)

… = - √(5/9) √(3/4) - 1/3

… = - (√5/3) (√3/2) - 1/3

… = -√15/6 - 1/3

… = -(√15 + 2) / 6

From the above, we know sin(a) = √5/3 and cos(b) = -√3/2. Then

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

… = (-2/3) (-√3/2) - (√5/3) (1/2)

… = √3/3 - √5/6

… = (2√3 - √5) / 6

and so it follows that

tan(a + b) = sin(a + b) / cos(a + b)

… = (-(√15 + 2) / 6) / ((2√3 - √5) / 6)

… = - (√15 + 2) / (2√3 - √5)

… = - (√15 + 2) (2√3 + √5) / ((2√3 - √5) (2√3 + √5))

… = - (2√45 + 4√3 + √75 + 2√5) / (12 - 5)

… = - (6√5 + 4√3 + 5√3 + 2√5) / 7

… = - (8√5 + 9√3) / 7

Answer:

6 Months where she borrowed less than 10,

and he borrowed the most books in August.

Step-by-step explanation:

Answer:

Their present ages are:

Step-by-step explanation:

Given that:

To Find:

Let us assume:

After 12 years:

Finding their present ages:

According to the question.

⇒ 3x + 12 = 2(x + 12)

⇒ 3x + 12 = 2x + 24

⇒ 3x - 2x = 24 - 12

⇒ x = 12

Their present ages: