What’s the answer to this question?

Answer:

x = -9

Step-by-step explanation:

3^4х = 27^(x-3)

Replace 27 with 3^3

3^4х = 3^3^(x-3)

We know that a^b^c = a^ (b*c)

3^4х = 3^(3(x-3))

Since the bases are the same, the exponents are the same

4x = 3(x-3)

Distribute

4x =3x-9

Subtract 3x from each side

4x-3x = 3x-3x-9

x = -9

Answer:

5 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

however many weeks the question is asking for just multiply that number by 15

Answer:

15w

Step-by-step explanation:

So, there is a rate. It would be 15w

w=Week.

Since she started with no money at all, it would be simple. 15w.

Hope this helped!

Answer:

810 square meters

Step-by-step explanation:

I did 12 x 15 x 18 and got 3240

then I divided 3240 by 4 because there are 4 sides of it which gave me 810

Hope This helps!

Answer:

WHAT IS THIS QUESTION AHHH BUT 03125

Step-by-step explanation:

Answer:

Probability of 3 or less = 0.8125.

Step-by-step explanation:

This is a binomial probability distribution.

Prob(0 females) =  5C0(1/2)^5 = 0.03125

Prob(1 female) = 5C1 (1/2)^5 = 0.15625

Prob(2 females) = 5C2(1/2)^5 = 0.3125

Prob(3 females) = 5C3(1/2)^5 = 0.3125

Adding these we get 0.8125.

Answer:

Proof

Step-by-step explanation:

PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason

due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.

Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic

Answer:

Proof

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

f(x)=2(3^x)+1,

Let x=2

f(2)=2(3^2)+1

Exponents first

     =2 (9) +1

Then multiply

     =18+1

     =19

Answer:

19

Step-by-step explanation:

f(2) = 2(3²) + 1

= 2(9) + 1

= 18 + 1

= 19

Answer:

$6

Step-by-step explanation:

(3)8=24

(4)3=12

24-12=12/2=6

Answer:

√58 cm.

Step-by-step explanation:

The hypotenuse is the line AB.

Using the Pythagoras theorem:

AB^2 = 3^2 + 7^2

AB^2 = 9 + 49 = 58

AB = √58 cm.

Answer the answer is power if 10

Step-by-step explanation:

Answer:

x = ±i8/7

Step-by-step explanation:

49x^2 +64 = 0

Subtract 64 from each side

49x^2 +64-64  = 0-64

49x^2 = -64

Divide by 49

49x^2/49 =-64 /49

x^2 = - 64/ 49

Take the square root of each side

sqrt(x^2) = ±sqrt(- 64/ 49)

x = ±sqrt(- 64/ 49)

We know sqrt( ab/c) = sqrt(a) sqrt(b)/sqrt(c)

x = ±sqrt(- 1) sqrt(64)/( 49)

We know that the sqrt(-1) = i

x = ±i8/7

The exact volume of the cylinder with a 10 ft diameter and 8 ft height is found using the formula V = πr²h. With a diameter of 10 ft, the radius is 5 ft. The calculated volume is 628.318 cubic feet.

To find the exact volume of a cylinder with a diameter of 10 ft and a height of 8 ft, we can use the following formula:

V = πr²h

Where V is the volume, r is the radius of the cylinder (half of the diameter), h is the height, and π (pi) is approximately 3.14159. Since the diameter is given as 10 ft, the radius will be 5 ft (half of the diameter).

Substituting our values into the formula gives us:

V = π × (5 ft)² × 8 ft

V = 3.14159 × 25 ft² × 8 ft

V = 3.14159 × 200 ft³

V = 628.318 ft³

Therefore, the exact volume of the cylinder is 628.318 cubic feet.

Answer:

The answer is 7/36.

Step-by-step explanation:

First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word or says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.

Answer: For plato

1. 11/18 .

2. 5/9.

Step-by-step explanation:

The probability that the sum of the numbers rolled is either even or a multiple of 5 is   11/18 . The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is  5/9.

Answer:

your answer would be 26.99 or 27

Step-by-step explanation:

Hope this helps

Answer:

d=26.9863

Step-by-step explanation:

to find the diameter divide the circumference by 3.14

hope this helps

stay safe

brainliest is appreciated :))

Answer:

b or c

Step-by-step explanation:

being that the answers are the same it should be 100 meters/second in the same direction. you will take the initial velocity, 1000, and subtract the new velocity, 500, and divide it by time. the direction deals with acceleration and if it is flying strait with no forces acting on it to move it, it will remain strait.

Answer:

3 3/5

Step-by-step explanation:

Just divide 18 by 5 but rather than putting it in decimal form, it should be in fractional form

Thank me later :)

Answer:

3 3/5

Step-by-step explanation:

18/5

Take 18 and divide by 5

It goes in 3 times 5*3 =15

18-15 =3

This goes over the denominator

3 3/5

Answer:

5, -2,5,-2,5 Recursive

Answer:

1.

a) 357 inches³ of water more would be required to fill the tank

b) Riley is not correct, the volume of the larger aquarium is 27

times larger than the volume of the smaller on

c) Riley is not correct, the surface area of the larger aquarium is 9

times the surface area of the smaller one

2.

a) There are 8 boxes of office supplies can be packed into

the larger box for shipping

b) The surface area of the shipping box is 567 inches²

Step-by-step explanation:

1.

a) * Lets study the first aquarium:

- The formula for volume is V = l × w × h

∴ It is a rectangular box of dimensions 16 in , 8.5 in , 10.5 in

∴ Its volume = 16 × 8.5 × 10.5 = 1428 inches³

* The full capacity of this aquarium is 1428 inches³

- Riley noticed that it 3/4 full of water, then still can fill with

1/4 to be full

- Why 1/4 because 1 - 3/4 = 1/4

∴ The volume of 1/4 the aquarium = 1/4 × 1428 = 357 inches³

* There are 357 inches³ of water more would be required to fill the tank

b) * Lets talk about the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their volumes will be (3 : 1)³

- Because we will multiply each dimension by 3 and they

are 3 dimensions, that means 3 × 3 × 3 ⇒ 3³

∴ The ratio between their volumes = 27 : 1

∴ Riley is not correct because the volume of the larger aquarium is 27

times larger than the volume of the smaller aquarium

c) * Similar for the surface area of the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their surface area will be (3 : 1)²

- Because we will multiply each dimension by 3 and to get the

surface area we multiply each two dimensions for the six faces

and then add them

∴ The ratio between their surface area = 9 : 1

∴ Riley is not correct because the surface area of the larger aquarium

is 9 times larger than the surface area of the smaller aquarium

2.

a) * Lets think about this situation

- We want to fill some office supplies boxes of side length

4.5 inches inside the shipping box of dimensions 18 in , 9 in , 4.5 in

- That means the volume of the shipping box is how many times

the volume of the office supplies box

∴ The number of office supplies boxes = the volume of shipping box ÷ the volume of the office supplies box

∵ the volume of shipping box = 18 × 9 × 4.5 = 729 inches³

∵ the volume of the office supplies box = 4.5 × 4.5 × 4.5 = 91.125 inches³

∴ The number of office supplies boxes = 729 ÷ 91.125 = 8 boxes

* There are 8 boxes of office supplies can be packed into

the larger box for shipping

b) Look to the Net of the shipping box

- The net has 6 faces shaped rectangles

- Each two faces are congruent

- To find the surface area we will add all the areas of the 6 faces

- Two faces with dimensions 18 in and 9 in

∴ Their areas = 2 (18 × 9) = 324 inches²

- Two faces with dimensions 18 in and 4.5 in

∴ Their areas = 2 (18 × 4.5) = 162 inches²

- Two faces with dimensions 4.5 in and 9 in

∴ Their areas = 2 (4.5 × 9) = 81 inches²

∴ The total surface area = 324 + 162 + 81 = 567 inches²

* The surface area of the shipping box is 567 inches²

Final answer:

The question involves calculating the surface area of a cube, drawing a net of a rectangular prism, and determining how many smaller cubes fit within the larger prism. However, required measurements are missing, making it impossible to provide exact answers to the calculations.

Explanation:

The student is tasked with answering questions related to geometry, specifically involving cubes and rectangular prisms. To find the surface area of the cube-shaped box, one would need the side length of the cube. The formula for the surface area of a cube is SA = 6s², where s is the side length. However, since the side length is not given in the question, this cannot be completed as presented.

To draw a net of a rectangular prism, you would draw six rectangles that correspond to the faces of the prism. Each rectangle would be labeled with its corresponding dimensions. Again, the specific dimensions of the container are not provided in the question.

Finally, to determine how many boxes can be packed into the larger container, you would need the volume of both the boxes and the container. The volume of each is calculated by multiplying the length, width, and height for rectangular prisms, or raising the side length to the third power for cubes. Then, divide the volume of the container by the volume of one box to find the number of boxes that can fit inside, assuming no wasted space. Without the actual dimensions, this calculation cannot be completed.

Answer:

104pi

Step-by-step explanation:

Answer: $553

Step-by-step explanation: 500(1.0016666)^60

500(1.10507451358)

552.537256789

$553

The first distribution with numbers ranging from 1 to 12 has a mean of 6.5, while the second distribution with numbers from 101 to 112 has a mean of 105.5. It is therefore True that the first distribution has a smaller mean than the second distribution.

The question asks whether the first distribution (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12) has a smaller mean than the second distribution (101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112). To determine this, we will calculate the mean of both distributions.

The mean of a distribution is calculated by adding all the numbers in the set and then dividing by the count of numbers.

For the first distribution:
Mean = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12) / 12
Mean = 78 / 12
Mean = 6.5

For the second distribution:
Mean = (101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110 + 111 + 112) / 12
Mean = 1266 / 12
Mean = 105.5

Comparing the means of both distributions, the first distribution has a mean of 6.5 and the second distribution has a mean of 105.5. Therefore, it is True that the first distribution has a smaller mean than the second distribution.

Furthermore, this corresponds to elementary properties of means where adding the same value to all elements of a distribution shifts the mean but does not affect the comparison of means of two distributions if the same value is added to each distribution.

Answer:

y = -51 ÷ x

Step-by-step explanation:

The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = -3 when x = 17 and y varies inversely with x.

So we substitute the values y = -3 and x = 17 in the equation y = k ÷ x

K = constant, we have to work this out

-3 = k ÷ 17

-3 × 17 = k

k = -3 × 17

k = -51

k = -51 So then we put this back into the original y = k ÷ x to find our final equation which is y = -51 ÷ x

Answer: The radius is 5 units (approximately)

Step-by-step explanation: The area of a sector with central angle X is given as;

Area = (X/360) x pi x r^2

Since the area has been given as 15.71 units, we can input the known values into the formula as follows;

15.71 = (72/360) x 3.14 x r^2

By cross multiplication we now have

(15.71/3.14) = 1/5 x r^2

(15.71/3.14) x 5 = r^2

78.55/3.14 = r^2

25.0159 = r^2

Add the square root sign to both sides of the equation

5.001 = r

The radius is equal to 5 units (approximately)

Answer:

1 17/40 m^3

Step-by-step explanation:

Volume = l*w*h

             = 1 9/10 * 1 1/2 * 1/2

Changing the mixed numbers to improper fractions

1 9/10 = (10*1+9) /10 = 19/10

1 1/2 = (2*1+1)/2 = 3/2

1/2 = 1/2

V = 19/10* 3/2*1/2

  =57/40

Changing this back to a mixed number

40/40 + 17/40

1 17/40

Answer:

1 17/40 m³

Step-by-step explanation:

1.9 × 1.5 × 0.5

= 1.425 m³

19/10 × 3/2 × 1/2

= 57/40

= 1 17/40 m³

Answer:

you mean this (5x-5)=(2x+10)right ? if yes X=5

Step-by-step explanation:

if this (5x-5)+(2x+10)=0 so X= - 5/7

Answer:7x+5

Step-by-step explanation:Add together your x’s then add together -5 and 10 to get 7x+5

Answer:

Step-by-step explanation:

B: 61

Answer:

20ft ^2  (squared)

Step-by-step explanation:

We deduct the circle area from the square area but first find out the radius triangle segment the 1/diagonal of the square. To find the hypotenuse h= c=r

h^2 =c = a+ b

h^2 = 8^2+ 8^2

h^2 =√64 + √64

h^2 =√128 = 11.313708499/3 = 3.77123616633

r=  5.65ft or 5.66ft rounded up

Square area formula = L x W = 8ft x 8ft = 64ft^2

Circle area formula=  A=πr2 = (π = 3.14159265359  (3.77123616633x 3.77123616633) = 14.2222222222 x 3.14159265359  = 44.680428851

A = 14.2 x π

A = 44.68ft

64 - 44.68 = 19.32ft^2

The answer must be 20ft ^2 squared.

Final answer:

Using the compound interest formula, Brad's $1,500 will grow to $1,810.69 by the time he turns 21 due to the 6.5% annual growth rate for three additional years.

Explanation:

Calculating Future Value with Compound Interest

Brad's grandmother initially deposited $1,500 in an account that grows at a rate of 6.5% each year. To calculate the future value of this investment when Brad is 21, we'll use the formula for compound interest:

FV = P(1 + r)^n

Where:

FV is the future value of the money after n years.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of years the money is invested or borrowed for.

In Brad's case:

P = $1,500

r = 0.065 (6.5% converted to a decimal)

n = 21 years old - 18 years old = 3 years

Now, we plug these values into the compound interest formula:

FV = $1,500(1 + 0.065)^3

And calculate the future value.

Therefore, if Brad decides to wait until his 21st birthday to withdraw the money, he would have:

$1,500(1 + 0.065)^3 = $1,500(1.065)^3 = $1,500 * 1.207127 = $1,810.69

Brad will have $1,810.69 in his account by the time he is 21 if he waits, which is more than he would have at 18.

Answer:

C

Step-by-step explanation:

Answer A does not come out to an even answer.

Answer:

C

Step-by-step explanation:

The Pythagorean theorem only works with right triangle. Seeing that the only right triangle is C the correct answer must be C. If you don't know how to identify a right triangle one of the easiest things to do is that there is a box in the corner and that means it is a right triangle. A right triangle is a triangle in which one of the corners is at at 90 degree angle