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3 years ago

If y varies inversely as x and x is 6 when y is 13, what is x when y is 8?

Mathematics

2 answers:

guajiro [1.7K]3 years ago

5 0

Answer:

A. 9.75 is the correct answer.

Step-by-step explanation:

Vikki [24]3 years ago

4 0

Y = k/x
13 = k/6
k = 78

y = k/x
8 = 78/x
8x = 78
x = 78/8
x = 9.75

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Mike installed the window shown. How many square feet is the window? Use 3.14 for pi. Round to the nearest tenth.

Natali [406]

Answer: 3.9ft²

Step-by-step explanation:

Find the area of the rectangle first:

= Length * Width

= 2 * 1.5

= 3 ft²

Find the area of the semi-circle by finding the area of a circle and dividing it by 2:

= πr²

= 3.14 * 1.5/2 * 1.5/2

= 1.76625‬ft²

Divide by 2:

= 1.76625‬/ 2

= 0.88 ft²

Add the area of the rectangle to the semi-circle:

= 3 + 0.88

= 3.9ft²

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2 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

arsen [322]

Answer:

The probability that a randomly chosen person gets an incorrect diagnosis is 2.965% = 0.02965.

Step-by-step explanation:

Given, The test to detect the presence of a liver disorder is 98% accurate for a person who has the disease.

so, probability of incorrect diagnosis = 100-98 = 2% = 0.02.

and 97% accurate for a person who does not have the disease.

so, probability of incorrect diagnosis = 100-97 = 3% = 0.03.

And 3.5% of the people in a given population actually have the disorder.

⇒ the probability that a randomly chosen person gets an incorrect diagnosis is (3.5% × 0.02) + (96.5% × 0.03) = 2.965% = 0.02965.

5 0

2 years ago

Read 2 more answers

3. Give an example of an expression with a rational exponent and explain how to convert it into radical form.

asambeis [7]

<h2>Solution -: </h2>

Example -1 

Here we have ,,, 

$(6 \: x) { \frac{9}{5} }^{}$

solve -; 

6x ^9×1/5

 $\big[(6x \: ) {}^{9} ] {}^{ \frac{1}{5} }$ 

Convert on radical form 

 $\sqrt[5]{(6x) {}^{9} }$ 

Example -2 

 $\displaystyle{}a {}^{ \frac{2}{5} } \\ = \sqrt[5]{x {}^{2} } \: \: \: \: \: \: \: \because ( \sqrt[m]{x {}^{n} } )$ 

<h2>__________________</h2><h3>More Basic Information -: </h3>

hair in the question 3x is called radicant and five is called the index of radical. and in second question X is radicant of the number and five and two are index of the number.

types of Radical -: 

pure radical
mixed radical
unequal radical
equal radical

rationalization 

the operation of multiplication of a radical with the other radical to get product a rational number is called rationalisation.

other name 

surds

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1 year ago

X + 3y = 14 -5x + 6y = -28 Solve systems by substitution

mote1985 [20]

Rearrange the first system to get x = -3y + 14. Substitute that into the other system.

$-5x+6y=-28\\\\-5(-3y+14)+6y=-28\\\\15y-70+6y=-28\\\\15y-70+6y=-28\\\\21y-70=-28\\\\21y=42\\\\y=2$

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2 years ago

Two of the corresponding angles and the included sides of two triangles are congruent.Which statement must be true regarding the

lys-0071 [83]

Answer:

1. The two triangles are ASA congruent

2. The two triangles are SAS congruent

6 0

2 years ago