MATHEMATICS MIDDLE SCHOOL

Solve the equation. Check your answer. If necessary, round to 3 decimal places In (t - 1) + In x^2 = 6, X=

Algebra 2

Answers

Answer 1
Answer:

Answer:

x ≈ ±20.086/√(t - 1)  

Step-by-step explanation:

ln(t - 1) + ln(x²) = 6

Recall that lnu + lnv = ln(uv). Then  

ln(t - 1) + ln(x²) = ln[(t-1)x²] = 6

Take the natural antilogarithm of each side

(t - 1)x² = e⁶

Divide each side by t - 1

x² = e⁶/(t-1)

Take the square root of each side

x = ±e³/√(t - 1)

x ≈ ±20.086/√(t - 1)

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What is the approximate distance between the points (-3, -4) and (-8, 1) on a coordinate grid

Answers

Answer:

D= 7.071

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

D=√((y_2-y_1)^2+(x_2-x_1)^2)

 Where

(x_1,y_1) = (-3,-4))

(x_2,y_2) = (-8,1)

 Replacing these values in the distance formula

D =√((-8-(-3))^2+(1-(-4))^2)

D =√((-8+3)^2+(1+4)^2)

D =√((-5)^2+(5)^2)

D =√(25+25)

D =√(50)

D= 7.071

 Hence the Distance is 7.071 units

Answer:

7.07

Step-by-step explanation:

In which sentence is the underlined word the proper adjective formed from China? A. The China's athlete won a gold medal in the race. B. The Chinese athlete won a gold medal in the race.. C. The China athlete won a gold medal in the race.

Answers

the answer is B because thats the correct way to use a proper adjective

First and second place in a contest use a ratio to share a cash prize. When first place pays $100 , second place pays $60. How much does first place pay when second place pays $36? Complete the ratio table to solve the problem

Answers

The amount paid for first place pay when second place pays $36 is $60.

Given

First and second place in a contest uses a ratio to share a cash prize.

When first place pays $100, second place pays $60.

What is the ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other:

Let, x be the amount paid in the first place when the second-place pays.

Then,

\rm (100)/(60) = (x)/(36)\n\n100 * 36 = x * 60\n\n3600 = 60x\n\nx = (3600)/(60)\n\nx=60

Hence, the amount paid for first place pay when second place pays $36 is $60.

To know more about Ratio click the link given below.

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Answer:

\$60

Step-by-step explanation:

Using a proportion

Let

x-------> the pay of the first place when the second place pays \$36

(\$100)/(\$60)=(x)/(\$36)\n \nx=36*100/60\n \nx=\$60

How many days in january

Answers

there are 31 days in january
31 days thank me if it helps

The scale of a model of a car is 1:24. It’s full size car is 12 ft long how long is the model

Answers

The length of the model car is 0.5 feet or 6 inches, which is determined by the scale factor.

The scale of the model car is given as 1:24, which means that for every 1 unit of length in the model, it represents 24 units of length in the actual car.

Given that the full-size car is 12 ft long, we can set up a proportion to find the length of the model car:

1 unit (model car) / 24 units (full-size car) = x units (model car) / 12 ft (full-size car)

To solve for x, we can cross-multiply and then divide:

1 × 12 ft = 24 units × x

12 ft = 24x

Next, divide both sides of the equation by 24:

12 ft / 24 = x

0.5 ft = x

Therefore, the length of the model car is 0.5 feet or 6 inches.

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the models length is only half a foot or .5

How many times can 26 go into 59

Answers

It can only go twice. 26 x 2 = 52, but 59 - 52 is 7, which is smaller than 26. So the final answer should be 2.
Hope this helped! :)
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