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Write each rational number as a fraction.

a. -2

b. 2.5

c. 1 3/5

Answer:

x= 2, 1/2

Step-by-step explanation:

x= b±√b²-4ac/2a

x = [5±√(-5)²-4·(2·2)]/2·2

x = (5±3)/4

x= 2, 1/2

Answer:

A

Step-by-step explanation:

-x + 2y = 8

5x + 2y = -4

+ x. -2y. -8

6x = -12

÷6. ÷6

x = -2

5(-2) + 2y = -4

-10 + 2y = -4

+10. +10

2y = 6

÷2. ÷2

y = 3

Answer:

event A and B are independent because  P(A and B)  = P(A) x P(B) = 0.15

Step-by-step explanation:

When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;

P(A and B)  = P(A) x P(B)

Given;

P(A) =  0.25

P(B) = 0.60

P(A and B) = 0.15

Now, let's check if  P(A and B) will be equal to P(A) x P(B)

P(A) x P(B) =  0.25 x 0.60 = 0.15

P(A and B)  = P(A) x P(B), thus event A and B are independent.

Answer:

By 4 dollars so the final price is 14$

Step-by-step explanation:

Answer:She raised the price $4.

Step-by-step explanation: Multiply 10 and .40 to get $4.

Answer:

8 ft per minute

Step-by-step explanation:

Take the number of feet and divide by the number of minutes

48 ft / 6 minutes

8 ft per minute

Answer: its A

Step-by-step explanation:

Any smooth curve connecting two points is called an arc. The length of arc s to the nearest tenth is 10.5 in.

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]

where θ is the angle, which arc creates at the center of the circle in degree.

The length of the given arc s, with an angle made at the center equal to (2/3)π and radius of 5 inches can be represented as,

[tex]\text{Length of Arc} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]

[tex]\text{Length of Arc s} = 2\pi \times (5)\times \dfrac{\frac23\pi}{2\pi}[/tex]

                        [tex]=10.472\approx 10.5\rm\ in[/tex]

Thus, the length of arc s to the nearest tenth is 10.5 in.

Learn more about Length of an Arc:

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Answer:

(6000)(0.03)(5)=$900

(1500)(0.0425)(4)=$255

(580)(0.02)(6)=$69.60

(1200)(0.039)(2.5)=$117

Answer:

Step-by-step explanation:

surface area of cylinder=2πrh

SA=1/2×2×π×3×25+2 ×(1/2×π×3²)=75π+9π=84π≈84×3.14≈263.76 cm²

if lowerside is also counted  then area of lower side=25×6=150

total surface area=263.76+150=413.76 cm²

if we take π=22/7

84 π=84×22/7=12×22=264 cm²

if base is also counted then area=264+150=414 cm²

Answer:

(C)

Step-by-step explanation:

AD and BC are parallel to each other. They are the same distance but they never touch.  

Your best answer would be C.

Brainilest appreciated.

Answer:

The slope of the line is -4

Step-by-step explanation:

Slope: (y2-y1) / (x2-x1)

(-7-(-19)) / (-2-1)

(12) / (-3)

= -4

Answer:

Step-by-step explanation:

The number of groups of 5 boys that we can have from 7 boys is 7C5 = 21

The number of groups of 5 boys that we can have from 12 students is

12C5 = 792

then the probability = 21/792 = 0.026515151515

by the way you can calculate 12C5 and 7C5 using a calculator.

Answer: Sorry i whould help but I cant see it can you put it more bigger

Step-by-step explanation:

Answer:

$44487

Step-by-step explanation:

If you plug in 10 for t, you are left with the following equation:

[tex]V=12000(1.14)^{10}=12000\cdot 3.7072\approx 44487[/tex]. Hope this helps!

Answer: $44,487

Step-by-step explanation:

To solve this, substitute t (the variable for time in the equation) with 10 to represent the value of the guitar after 10 years.

[tex]V = 12000(1.14)^{10}\\V = 12000*3.7072\\\\V = 44487[/tex]

The guitar will be worth $44,487 in 10 years.

Answer:

x=20 and y=128.Option 2

Step-by-step explanation:

Since,the angles are vertically opposite,they are equal(property)

Therefore,

(3x-8)=(2x+12)

3x-8=2x+12

3x-2x=12+8

x=20,

Now,

Since,the angles are formed in a straight line,their sum is equal to 180(property)

Therefore,

y+(2x+12)=180

y+2×20=180-12

y=168-40

y=128

Therefore,x=20 and y=128

option 2 would be your answer because it explains the missing part where y is.

Answer:

What is  the probability the mean of his sample will be between $70.00 and $80.00? = 64/64 =1

s1) = 99% =z score = 127/128

s2)64/64 = 1

s3)95% of 64 = 123/128

s4) p) step 3 = 95% of 64 = 60.08 /64 = 60/64 = 93.75%

s5) P)of 2+4 = 283/292 = 96.92%

Answer:

standard deviation = 3.0331

Step-by-step explanation:

You can solve for this two different ways.

If you have a TI-84 calculator or something similar, type all the data into list 1. Then click the stat button, then the calc button, then 1-vars stats. This will give you mean, standard deviation, median, mode, etc.

If you are solving by hand, find the different between each data point and the mean. Square these numbers and find the average. Then take the square root of that.

3^2 + 4^2 + 1^2 + 2^2 + 4^2 = 46

46/5 = 9.2

square root of 9.2 = 3.0331

Hope this is helpful!!!!!!!!!!! :)

Answer:

x= 35

Step-by-step explanation:

supposing we are finding x, we know that the line in the middle is the dimeter. so we know its a semicircle with an arc of 180 degrees. 180-110=70 divide that by two to get x which is 35.

Answer:

D. x = 5

Step-by-step explanation:

At x = 5

y = -½(5)²

y = -½ × 25 = -25/2 = -12½

Answer: x=5

Step-by-step explanation:

Answer:

The set of numbers that is correctly ordered from least to greatest is 5.7, 15.758, 24, 49, 63. Is there anything else you would like to know?

Answer: I think it might be 1933.

Step-by-step explanation

I hope it helped if not sorry. :/

Answer:

i am thinking option 1

Step-by-step explanation:

i may be wrong if i am correct me

Answer:

≈ 125.3

Step-by-step explanation:

If we're using the Pythagorean Theorem to solve this, then the formula is:

[tex]a^{2}+ b^{2} =c^{2}[/tex]

So basically, by using this formula, you're finding the length that the soccer players will run diagonally. Plug in the numbers:

[tex]110^2 + 60^2 = c^2[/tex]

12100 + 3600 = [tex]c^2[/tex]

15700 = [tex]c^2[/tex]

Take the square root:

15700 = [tex]c^2[/tex]

[tex]\sqrt{15700} = \sqrt{c^2}[/tex]

125.3 ≈ c

Answer:

C hope this helped :D if not plz let me know..

The terms that are interchangeable are axioms and postulates.

"In mathematics or logic, an axiom is an unprovable rule or first principle accepted as true because it is self-evident or particularly useful. “Nothing can both be and not be at the same time and in the same respect” is an example of an axiom"

"The term is often used interchangeably with postulate, though the latter term is sometimes reserved for mathematical applications (such as the postulates of Euclidean geometry). It should be contrasted with a theorem, which requires a rigorous proof."

By the definition of Axiom and postulates,

It is clear that Axiom and postulates are interchangeable, since they both used as a unprovable rule.

Hence A is the correct option.

To know more about axioms and postulates here

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Answer:

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b.

Answer:

1.

y = 20(11) + 300 = 520

y = 5(11)(11) = 605    

y = 10(1.4)^11 = 404.96

hence the quadratic formula - y = 5x^2 has the largest y-value

2.

y = 20 (14) + 300 = 580

y = 5 (14) (14) = 980

y = 10(1.4)^ 14 = 1111.20   >    this is greater than both equations above

14 is the smallest value of x for which the value of the exponential equation is greater than the values of both the linear and quadratic functions

Step-by-step explanation:

Answer:

1. Quadratic

2. x = 14

Step-by-step explanation:

1. At x = 11

linear: y=20(11) + 300 = 520

Quadratic: y=5× 11² = 605

Exponential: y=10(1.4)¹¹ = 404.956517

2. 10(1.4^x) > 20x + 300

1.4^x > 2x + 30

1.4^x - 2x - 30 > 0

Using trial method:

x > 11

10(1.4^x) > 5x²

1.4^x - 0.5x² > 0

Using trail method:

x > 13

The smallest positive integer which satisfies both inequalities is 14

Answer:

54inches 43inches are the 53364inches rye 5t337 the earth stud is 37feet of the 368feet

Answer:

10

Step-by-step explanation:

they all have the same denominator so the only focus is adding the 7+3

Answer:

1. Mike has more money in his savings account than he had at the beginning of he week

2. $0.6 more

3. Current Balance is $175 + $165.30 - $164.7 = $175.6

Step-by-step explanation:

The question is of the format of a word problem, hence we have;

Initial balance in Mike's bank account                                              = $175

Withdrawal on Monday                         = $65.00

Withdrawal on Wednesday                   = $43.25

Withdrawal on Thursday                       = $56.45

Deposit on Friday                                                           = $165.30

Total withdrawal                                     = $164.7                      

Therefore we have;

Current Balance = Initial balance + total deposit - total withdrawal            

∴ Current Balance = $175 + $165.30 - $164.7 = $175.6

1. Therefore, based on the above calculations, Mike has more money in his savings account than he had at the beginning of he week

2. Mike has $0.6 more.

3. Current Balance = Initial balance + total deposit - total withdrawal            

∴ Current Balance = $175 + $165.30 - $164.7 = $175.6.