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leonid [27]
3 years ago
9

What is the answer to 3k-1=7k+2

Mathematics
2 answers:
Phoenix [80]3 years ago
5 0
Answer is given above

Paladinen [302]3 years ago
3 0
The answer for 3k-1=7k+2 is -3/4, or -0.75 because:

 3k-1=7k+2
    +1      +1
 3k=7k+3
-7k -7k
-4k=3
/-4  /-4
 k=-3/4, or -0.75
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An experiment observing the growth of two germ strand populations finds these patterns.
Mice21 [21]

Answer:

R(x) = (1.3)^{3x-8}

Step-by-step explanation:

Given

A(x) = (1.3)^{x + 9}

B(x) = (1.3)^{4x + 1}

Required

Ratio B(x) to A(x)

This is calculated as:

R(x) = B(x) : A(x)

Express as fraction

R(x) = \frac{B(x) }{A(x)}

Substitute: A(x) = (1.3)^{x + 9} and  B(x) = (1.3)^{4x + 1}

R(x) = \frac{(1.3)^{4x+1}}{(1.3)^{x+9}}

Apply law of indices

R(x) = (1.3)^{4x-x+1-9}

R(x) = (1.3)^{3x-8}

6 0
3 years ago
Look at this triangle work out length AB
Paha777 [63]

Answer:

2√137

Step-by-step explanation:

To find AB, we can use the Pythagorean Theorem (a² + b² = c²). In this case, a = 22, b = 8 and we're solving for c, therefore:

22² + 8² = c²

484 + 64 = c²

548 = c²

c = ± √548 = ± 2√137

c = -2√137 is an extraneous solution because the length of a side of a triangle cannot be negative, therefore, the answer is 2√137.

3 0
3 years ago
Read 2 more answers
Renauld has to pay 2 percent in closing costs and 14 percent for the down payment on a purchase of $170,500. Over the life of hi
melamori03 [73]

Renaud has to pay 2 percent + 14 percent = 16 percent initial costs

We can establish a proportion:

If 100% is => $170,500

Then 16% =>  $C costs

$C = 16 x $170,500/100 = $27,280 initial costs

Total cost = $163,021.87 + $27,280 = $190,301.87

Answer : C.) $190,301.87

\textit{\textbf{Spymore}}​​​​​​

5 0
3 years ago
a. How wide must a wall footing be if the load is 9,500 pounds per foot of wall length, and the footing rests on a sandy gravel?
Phantasy [73]

Answer:

a) 38"

b) L = 5.7'

Step-by-step explanation:

a) Given

P = 9,500 lb/ft

Thick = 18"

We assume an allowable bearing pressure of σ = 3000 lb/sf

If Stress = Force / Area

σ = P/A

Solving for area

A = P/σ  ⇒  A = 9,500 lb/ft/3000 lb/sf

⇒  A = 3.167 sf,  or  3.167 ft wide, per foot of length.

⇒  A = 38" wide

We can see the pic 1 in order to understand the answer.

b) Given

P = 65,000 pounds = 65,000 lb

Thick = 18" = 1.5'

We assume an allowable bearing pressure of σ = 2000 lb/sf

If Stress = Force / Area

σ = P/A

Solving for area

A = P/σ  ⇒  A = 65,000 lb/2000 lb/sf

⇒  A = 32.5 sf

then A = L²  ⇒  L = √A = √(32.5 sf) = 5.7 ft

Finally L = 5.7'

We can see the pic 2 in order to understand the answer.

3 0
3 years ago
Given the following table, determine the missing value. Growth Factor 1.13 ? 1.28 1.97 Percent 13% 256% 28% 97%
omeli [17]
To get the growth factor from a percentage increase, express the percentage as a decimal, then add 1.
  256% = 2.56
  2.56 + 1 = 3.56

The appropriate choice is ...
  c. 3.56
5 0
3 years ago
Read 2 more answers
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