describe the transformation of f(x) = sin x to g(x) = sin ( x + pi/3)

Answer:

60 inches

Step-by-step explanation:

The length of shorter piece is = 1/5 × 300 = 60 inches

The volume of the cube not filled by the sphere is 3811.209. Option A is the correct.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.

The volume of sphere is found as;;

[tex]\rm V_{sphere}= \frac{4}{3} \pi r^3 \\\\ V_{sphere}= \frac{4}{3} \times 3.14 (10)^3 \\\\ V_{sphere}= 4188.79 \ cm^3[/tex]

The volume of cube is found as;

Volume of cube = Length x width x height

Volume of cube =20 x 20 x 20

Volume of cube = 8000

The volume of the cube not filled by the sphere is found by subtract the volume of the cube by the volume of the sphere.

V=8000 - 4188.790205

V = 3811.209

The volume of the cube not filled by the sphere is 3811.209.

Hence, option A is the correct.

To learn more about the volume, refer to the link;

https://brainly.com/question/13338592

#SPJ2

Answer:

20√2 cm

Step-by-step explanation:

The required perimeter of the square is 20√2 cm.

Answer:

5 N towards north I think

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer: A goverment by people

Step-by-step explanation:

Answer:

16.9

Step-by-step explanation:

Answer:

1,022.83 ft³

Step-by-step explanation:

volume= ⅓×½××19×17×19 = 1,022.83 ft³

Answer:

I'm not sure but I think is 31.4

Step-by-step explanation:

multiply 15.70 twice

Answer: (-1)º + (-6) : (-2) - 24 = 1+(-6): (-2) - 16 = 1+3 - 16 = %3| 4 - 16 = - 12

Espero ter ajudado bons estudos tenha uma Boa noite ❤

Brainlist PLz

60 jdfjbdjdjdjd ah inebauwkwhiwiwnais

Answer:

60

Step-by-step explanation:

Answer:94.5

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

78/2 = 39

Answer:

No

Step-by-step explanation:

For a proportional relationship :

y = kx

Where , k = constant of proportionality

Taking the first set of data:

x = 50 ; y = 10

10 = 50k

k = 10/ 50 = 1/5

Hence, the proportional equation or relation is :

y = 1/5x

Check if this is true for other data points on the data :

Taking the second data point :

x = 85 ; check if y will be 20

From :

y = 1/5x

y = 1/5*85

y = 85/5

y = 17

Since ;

y value from the equation isn't the same as that in the table, then the table does not show a proportional relationship.

Answer:

9°C

Step-by-step explanation:

quantity of heat energy absorbed is expressed as;

Q = mcΔt

m is the mass

c is the specific heat capacity

Δt is the change in temperature

Substitute the given values

3456 = 3 * 128 Δt

3456 = 384Δt

Δt = 3456/384

Δt = 9°C

Hence the temperature change is 9°C

Answer:

95 points

Step-by-step explanation:

Given

[tex]n = 370[/tex] --- expected point

See attachment for points

Required

An inequality to determine the points needed

First, we calculate the points (p) Lesha has already accumulated.

[tex]p = Test\ 1 + Test\ 2 + Test\ 3[/tex]

[tex]p = 75 + 100 + 100[/tex]

[tex]p = 275[/tex]

Let the number of points needed be t.

So:

[tex]p + t = 370[/tex] ---- i.e. She must score a total of 370

Make t the subject

[tex]t = 370 -p[/tex]

Substitute 275 for p

[tex]t = 370 -275[/tex]

[tex]t = 95[/tex]

Step-by-step explanation:

you know that QPS adds up to 47

so the sum of RPS and QPR shoukd = 47

(3x - 38) + (7x - 95) = 47

you then solve for x then you can use that to find QPR

Answer:

Step-by-step explanation:

Answer:

x = 54, y = 63

Step-by-step explanation:

117° and the left base angle are adjacent and sum to 180°

base + 117° = 180° ( subtract 117° from both sides )

base = 63°

Since the triangle is isosceles ( congruent legs ) then the 2 base angles are congruent , so y = 63

and x = 180 - (63 + 63) ← sum of angles in a triangle

x = 180 - 126 = 54

Answer:

P = 3/11

Step-by-step explanation:

There are:

6 red marbles

4 blue marbles

2 yellow marbles.

So there are a total of 12 marbles in the bag, such that each one has the same probability of being randomly picked.

We want to find the probability that the first pick is not yellow (so it can be either blue or red), and the second pick is a blue marble.

Now there are two cases.

The first marble is red and the second blue

the first marble is blue and the second blue

We need to find the probability in each case.

The probability that the first marble is red is equal to the quotient between the number of red marbles (6) and the total number of marbles (12)

p = 6/12

Now, for the second draw, we need a blue marble, the probability in this case is the quotient between the number of blue marbles (4) and the total number of marbles in the bag (now there are 11, because one is already taken)

q = 4/11

The joint probability is equal to the product of the individual probabilities, then:

P₁ = p*q = (6/12)*(4/11) = 2/11

And for the other case, we draw two blue marbles:

For the first draw, the probability is:

p = 4/12

And for the second draw, now there are 3 blue marbles and 11 total marbles, then the probability is:

q = 3/11

The joint probability is:

P₂ = (4/12)*(3/11) = 1/11

The total probability is then:

P = P₁ + P₂ = 2/11 + 1/11 = 3/11

Answer:

A and D

Step-by-step explanation:

Answer:

A. 2 + (−2) = 2 - 2= 0, true.

B. (−3) + (−4) = - 3 - 4 = -7 is negative, False

C. −2 − (− 2) = -2 + 2 = 0, neither positive nor negative, false.

D. 5 + (−2) = 5 - 2 = 3,is positive true.

E. 7 − (−10)= 7 + 10 = 17  is psoitive, false

options : A, D

Answer:

C(n) = 12 + 1.5(n – 1)

Step-by-step explanation:

Answer:

I believe the answer is 8.16 pardon me if it's wrong.

Answer:

8.18

Step-by-step explanation:

First, note that 8.175 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 8

Fractional Part: 175

To round 8.175 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part.

We use the following rules to round 8.175 to the nearest hundredth:

A) If the last digit in the fractional part of 8.175 is less than 5, then simply remove the last the digit of the fractional part.

B) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.

C) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.

D) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.

With 8.175, rule B applies and 8.175 rounded to the nearest hundredth is:

8.18

Let the number of cards Aaron has : A

Given :

⊕   Bonny has twice as many cards as Aaron

⊕   Connor has 6 cards more than Bonny

⊕   Total cards : 101

⇒  Number of cards Bonny has : 2A

⇒  Number of cards Connor has : 2A + 6

⇒   Aaron cards + Bonny cards + Connor cards = 101

⇒   A + 2A + 2A + 6 = 101

⇒   5A = 101 - 6

⇒   5A = 95

⇒   A = 19

Answer : Aaron has 19 Cards

Answer:

They are equilateral ever.

Answer:

(x + 8)^2

Step-by-step explanation:

f(x) ----> f(x + 8)

Answer:

What can be said about the model are;

1) The company predicts 4 failures before success

2) Each trial is independent

3) The probability is the same for each trial

4) Success is defined as preventing the disease

Step-by-step explanation:

The probability of success for the vaccine, p = 0.2

Therefore, the probability that the vaccine is effective and prevents the disease = 0.2

A geometric distribution probability of success is given by the following formula;

P(X = x) = p × q⁽ˣ⁻¹⁾

The expected value, E(Y) = 1/p

The number of failures before success, E(Y) = (1 - p)/p = (1 - 0.2)/0.2 = 4

Where;

q = The probability of a trial failing = 1 - p = 1 - 0.2 = 0.8

q = 1 - p

∴ The e

The geometric model criteria are;

a) Each trial can only have one of two outcomes success or failure

b) The probability of success for each trial is fixed

c) The geometric distribution is concerned with finding how many trials are required to get one success

d) The trials are independent

Therefore, we have;

The number of failures the company predicts before a success = 4 failures

2) The trials are independent

3) Each trial has an equal probability

4) Success is defined by the effectiveness of the vaccine in the prevention of the disease