MATHEMATICS HIGH SCHOOL

Simplify expression:
3^{−(4a+1)} −3^{−(4a−1)} + 3^{−4a}

Answers

Answer 1
Answer: 3^(-(4a+1))-3^(-(4a-1)) + 3^(-4a) =3^(-4a-1 )-3^(- 4a+1 ) + 3^(-4a)=\n \n=3^( -4a )*3^(-1)-3^( - 4a )*3^1 + 3^(-4a) =3^(-4a)(3^(-1)-3+1)=3^( -4a )*((1)/(3)-2)=\n \n=3^( -4a )*(-1(2)/(3))=3^( -4a )*(-(5)/(3))=3^( -4a )*(-5)*(1)/(3) =-5 *3^( -4a )*3^(-1)=\n \n =-5 *3^( -4a +(-1))=-5 *3^( -4a -1)

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1. The concession stand is selling hot dogs and hamburgers during a game. At halftime, they sold a total of 78 hot dogs and hamburgers and brought in $105.50. how many of each item did they sell if hamburgers sold for $1.50 and hot dogs sold for $1.25?

Answers

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Need help with problem can you help 5x+3y=22 y=2x

Answers

if y = 2x, let's replace it on  5x+3y=22

5x+3*(2x)=22

5x+6x=22

11x=22

\boxed{\boxed{x=2}}

Therefore

y=2x

y=2*2

\boxed{\boxed{y=4}}
5x+3y=22    y=2x
5x+3(2x)=22
5x+6x=22
11x=22
x=2

y=2(2)
y=4
x=2 y=4

Represent the decimal number 8620 (a) in BCD (b) in Excess-3 (c) in 2 4 2 1 code

Answers

Sep 9, 2014 - Decimal BCD 2421 Excess‐3 8, 4, -2, -1 Digit 8421 ... For example, decimal 395 isrepresented in the excess‐3 code as 0110 1100 1000. ... 0011 0111, which is obtained simply by complementing each bit of the code

To solve X/0.4 = 10, you would: Add 0.4 Subtract 0.4 Multiply 0.4 Divide by 0.4

Answers

multiply by 0.4 on both sides to cancel the original 0.4 and change the 10

Mackenzie wrote the following paragraph proof for the Vertical Angles Theorem: Line segment NT intersects line segment MR forming four angles. Angles 1 and 3 are vertical angles. Angles 2 and 4 are vertical angles. The sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180 degrees by the definition of supplementary angles. The sum of angle 1 and angle 4 is equal to the sum of angle 3 and angle 4 _________________. Angle 1 is equal to angle 3 by the subtraction property of equality. Which phrase completes the proof? by construction using a straightedge by the definition of a perpendicular bisector by the transitive property of equality. by the vertical angles theorem

Answers

by the transitive property of equality

Answer:

the transitive property of equality

Step-by-step explanation:

We are given with height= 9 ft. Length=10 ft. Wall Brackets: 48-inch cost $12.95 68-inch cost $16.95 Distance from brackets from ends= 1 foot maximum . What is the total cost of the brackets, before tax?

Answers

Answer:

$89.7

Step-by-step explanation:

We are given with

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

distance of brackets from ends = 1 foot

maximum distance between brackets= 24 inches

The brackets are

48/12 = 4 feet

and

60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is

60 inch

subtracting 1 in from each side for the allowance

60 - 2 = 58 in

Dividing by 24 inches

58/24 = 2.41 ~ 3 

The total cost is

($12.95 + $16.95) * 3 = $89.7

The total cost of the brackets is $89.7
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