1.
[tex]16 \frac{3n}{4} \div 18 \frac{5n}{4} \times {4}^{n + 2} [/tex]
simplify

2.
[tex] {2}^{2y} = 6( {2}^{y)} - 8[/tex]
Find the value for y

3.
[tex] {2}^{2x + 1} - 15( {2}^{x}) - 8 = 0[/tex]
Solve the equation
​

I will mark you brainliest

Answer:

113 inches

Step-by-step explanation:

13 times 9 is 117 inches (this is the area for the whole cake)

2 times 2 is 4 (this is just the middle)

But since the brother ate the middle you will have to subtract the area of the middle piece from the whole area.

117-4 is 113 so the area now is 113 inches

Answer:

C x>3

Step-by-step explanation:

Answer:

The answer is (C) x>3

Step-by-step explanation:

Well first just solve it normally like an equation, ignore the sign for now.

-5x+20<5

Isolate the x so we subtract 20 on both sides

-5x<-15

Now divide by -5 to isolate 5 from X

x>3

You switch the sign because whenever you divide or multiply a negative number to isolate x, the sign reverses.

Answer:

1. 4 and 3/5

2. 3 and 1/6

Step-by-step explanation:

thats about it

Answer:

1. 4 3/5 or 4.6   2.  3 1/6

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

What I did was simple. I just plugged it into my calculator and let it get to work. If you don't have a calculator, use your phone or computer. There should be calculators on both of these.

Please let me know if you need any more help. Hope this helps!

Answer:

1/2 of 1/100 = 1/200

Step-by-step explanation:

Answer:

13 cm i think.

Step-by-step explanation:

...It's A on Ap3x......

Answer:

D. 49.35

Step-by-step explanation:

[tex]\frac{4935}{100 X 100}[/tex] X 100 = 49.35

Answer:

Answer: The length of string from kite to the ground is 111.5 feetStep-by-step explanation:Given ... of the ground, and its string is pulled tout. The angle of elevation of the kite is 43. Find the length of the string. Round your answer to the ... The height from the ground at which kite is flying = BC = h = 76 feet.

Step-by-step explanation:

Answer:

teal?

Step-by-step explanation:

Answer:

Black , Blue or White

Step-by-step explanation:

Answer: 900

Step-by-step explanation:

The number of seconds it will take both the crew together to make 38 sandwiches is 900.

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The time taken by the afternoon crew to make a sandwich is 45 seconds. The time taken by the evening crew to make a sandwich is 50 seconds. Taking the LCM of the timing of the two crew, to know at what time they both will finish making a sandwich together.

LCM of 45 and 50 is 450.

Therefore, the number of sandwiches made by the afternoon crew in 450 seconds is 10, while the number of sandwiches that will be made by the evening crew is 9. Thus, in a time period of 450 seconds, both crews together will make 19 sandwiches.

Now, since it takes 450 seconds to make 19 sandwiches the time it will take to make double the number of sandwiches therefore, 38 sandwiches will also be double.

Hence, the number of seconds it will take both the crew together to make 38 sandwiches is 900.

Learn more about LCM:

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Answer:

1/4

Step-by-step explanation:

Assuming the number cube is a six-faced die, you have

1 2 3 4 5 6

three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. That means you have a 50% chance to get an odd number, or an even number.

So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?

25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.

Answer:

1/4

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

First subtract the fixed fee. 59-5=54

Divide 54 by 9.  

6

Answer:

1,578

Step-by-step explanation:

I took the test

Step-by-step explanation:

hope it helps

have a great day!!

Answer:

Step-by-step explanation:

6+12+18+....6n=3n(n+1)

Proof by induction

True for n = 1

6 = 3(1)(1+1)

Assume true for n = k

6+12+18+....6k=3k(k+1)

Then show that

6+12+18+....6(k+1)= 3(k+1)(k+1+1)

We add 6(k+1) to both sides of

6+12+18+....6k=3k(k+1)

6+12+18+....6k +6(k+1) =3k(k+1) + 6(k+1)

= 3(k+1)(k + 2)

= 3(k+1)(k+1+1)

So true for n = k+1

Since true for n=1 it is true for n=2,3,...

Thus true for all natural numbers n by mathematical induction

Answer:

x=-6

Step-by-step explanation:

The only thing to do is to transpose 4 and it will become negative,so-2-4=-6

Answer:

X = -6

Step-by-step explanation:

The equation is x + 4 = -2. Make the (+4) to cross over the equal sign which makes a new equation :- x = -2 - 4

Work out the new equation:-

x = -2 - 4

NOTE: -2 - 4 = -6

Therefore x = -6

Answer:

The answer would be the third one (12,0)

Answer:  6000ft2

Step-by-step explanation: Multiply 15*20*20 to find the area of a figure.

Answer:

She would make $35.

Step-by-step explanation:

If you do 10 x 3.5, you will get the answer of $35.

Answer:

$30

Step-by-step explanation:

She would be getting paid by the HOUR, and she has worked 3.5 hours. If she gets paid every HOUR, that means that she would be paid three times when working 3.5 hours. The answer would be $30.

The person who wrote the question might want $35 dollars as the answer, but logically the answer should be $30.

Answer:

(-3,1.5) (0,3) (3'3)

Step-by-step explanation:

multiply all the coordinates by 1/2

Answer:

Sorry the pictures re not clear. Could u zoom in? :)

Answer:

225 ft²

Steps:

(20×10)+5² = 200+25 = 225 ft²

Answer: 225ft^2

Step-by-step explanation:

Answer:

y = 10

x = 17

Step-by-step explanation:

4y - 3 = 37

4y = 37 + 3

4y = 40

y = 40 / 4

y = 10

3x - 9 = 42

3x = 42 + 9

3x = 51

x = 51 / 3

x = 17

Hope that helps!

Answer:

x = 17

y = 10

Step-by-step explanation:

Parallel sides are equal in length, so set them equal to each other.

3x - 9 = 42 --> Add 9 to both sides.

3x = 51 --> Divide both sides by 3.

x = 17

4y - 3 = 37 --> Add 3 to both sides.

4y = 40 --> Divide both sides by 4.

y = 10

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k =  1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to  n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

Answer:

B

Step-by-step explanation:

the answer is B.the equation of the line

Answer:

a) 256 ft^2 No

b) 150 ft^2 Yes

c) 300 ft^2 NO

d) 192 ft^2 Yes

w=8.5 in

l=11 in

A=w•l

A=8.5•11=93.5 in^2

Scale:

1in:1.5 ft

1in^2:2.25 ft^2

1in ^2. 2.25ft^2

93.5 in^2. Xft^2

X=2.25•93.5

X=210.375

Step-by-step explanation:

The required answers are below the scale drawings for each of these rooms:

a. 16 feet by 16 feet: No

b. 10 feet by 15 feet: es

c. 15 feet by 20 feet: NO

d. 12 feet by 16 feet: Yes

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

a. 16 feet by 16 feet:

The width of the room on the scale drawing will be 16/1.5 = 10.67 inches, and the length will also be 10.67 inches. Since both dimensions are greater than the width and length of the paper, the scale drawing will not fit on one piece of paper.

Answer: No.

b. 10 feet by 15 feet:

The width of the room on the scale drawing will be 10/1.5 = 6.67 inches, and the length will be 15/1.5 = 10 inches. The length dimension of the scale drawing fits on the paper, Therefore, the scale drawing will fit on one piece of paper.

Answer: Yes.

c. 15 feet by 20 feet:

The width of the room on the scale drawing will be 15/1.5 = 10 inches, and the length will be 20/1.5 = 13.33 inches. Both dimensions are greater than the width and length of the paper, so the scale drawing will not fit on one piece of paper.

Answer: Not.

d. 12 feet by 16 feet:

The width of the room on the scale drawing will be 12/1.5 = 8 inches, and the length will be 16/1.5 = 10.67 inches. Both dimensions are less than the width and length of the paper, so the scale drawing will fit on one piece of paper.

Answer: Yes.

Learn more about the Scale images here:

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