According to the property √a/√b=√a/b, which choice is equivalent to the quotient below? √35/√7​

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Answer:

Step-by-step explanation:

The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...

  r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours

__

a) After 4 hours, the amount remaining is ...

  r(4) = 1450·0.75^4 ≈ 458.79 . . . mg

About 459 mg will remain after 4 hours.

__

b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...

  r(t) < 5

  1450·0.75^t < 5 . . . . use the function definition

  0.75^t < 5/1450 . . . . divide by 1450

  t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)

  t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t

  t > 19.708

It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.

Answer:

9/10

Step-by-step explanation:

The first two digit number is 10 and the last is 99. That's a total of 99-10+1 numbers in all. That simplifies to 90. (Just like if we wanted to see how many numbers was 3,4,5, we would do 5-3+1=3 to get the total number.

Anyways, let's consider first how many 2 digjt numbers whose digits are equal. You have 11 22,33,44 55,66,77,88,99 which is 9 numbers total.

So the amount of 2 digits number whose digits differ is 90-9=81.

The probability that a 2 digit number have different digits is 81/90.

This can reduce. Divide top and bottom by 9 giving 9/10.

Answer:

5/26

Step-by-step explanation:

Answer:

5/26

Step-by-step explanation:

Threre are five vowels in the English alphabet, 26 total

Answer:

[tex] x \div 1[/tex]

[tex] = x[/tex]

Answer:

[tex]x\div 1=x[/tex]

Step-by-step explanation:

When x is divided by one it is called reciprocal.

reciprocal is the inverse of a number or a value.

examples: The reciprocal of 3 is 1/3, and the reciprocal of 5 is 1/3.

OAmalOHopeO

Answer:

Following are the solution to the given question:

Step-by-step explanation:

There will be 35 members of the Toledo Automotive Metro from such reports

The Organization of Distributors. The membership is sequentially numbered between 00 and 34.

The five traders selected a random sample as follows:

[tex]34, 32, 39, 94, 25, 71, 71, 13, 52, 39, 19, 67[/tex]

The decision should be made in 00 and 34.

In this the remaining numbers 39, 94,. . . . .67 were not chosen because it is beyond the ranges that are 00-34.

The samples contain 34, 32, 25, 13, and 19 distributors.

Answer:

the second one

Step-by-step explanation:

it is not going in any general direction

Answer:

B

Step-by-step explanation:

9514 1404 393

Explanation:

same:

different:

_____

Additional comment

Multiplication by a negative number has the effect of re-ordering numbers:

  -1 < 2 . . . 1 > -2 (both sides multiplied by -1)

Other functions can have the same effect, so care must be taken when applying functions to both sides of an inequality.

  1/2 > 1/3 . . . 2 < 3 (reciprocal function applied to both sides)

  30° < 60° . . . cos(30°) > cos(60°) (cosine function applied to both sides)

Answer:

The answers to your questions are given below.

Step-by-step explanation:

1. m∠1 and m∠2 are complementary. This statement was given from the question.

2. m∠1 + m∠2 = 90°. Complementary angles add up to give 90°.

3. m∠2 = 74°. This was given in the question.

4. m∠1 + 74 = 90°. Since m∠1 and m∠2 are complementary. Their sum will add up to give 90°

5. m∠1 = 16°

We can prove m∠1 = 16° as shown below:

m∠1 + m∠2 = 90° (complementary angles)

m∠2 = 74°

m∠1 + 74 = 90°

Collect like terms

m∠1 = 90 – 74

m∠1 = 16°

Given:

The function is:

[tex]f(x)=\dfrac{\sqrt{2x-6}}{x-3}[/tex]

To find:

The smallest possible integer value for $x$ such that $f(x)$ has a real number value.

Solution:

We have,

[tex]f(x)=\dfrac{\sqrt{2x-6}}{x-3}[/tex]

This function is defined if the radicand is greater than or equal to 0, i.e., [tex]2x-6\geq 0[/tex] and the denominator is non-zero, i.e., [tex]x-3\neq 0[/tex].

[tex]2x-6\geq 0[/tex]

[tex]2x\geq 6[/tex]

[tex]\dfrac{2x}{2}\geq \dfrac{6}{2}[/tex]

[tex]x\geq 3[/tex]             ...(i)

And,

[tex]x-3\neq 0[/tex]

Adding 3 on both sides, we get

[tex]x-3+3\neq 0+3[/tex]

[tex]x\neq 3[/tex]             ...(ii)

Using (i) and (ii), it is clear that the function is defined for all real values which are greater than 3 but not 3.

Therefore, the smallest possible integer value for x is 4.

Answer: x= 2.5, y = 10

Step-by-step explanation:

I'm going to assume that these photocopies are proportional in relations to each other.

If they're proportional, you can set up two proportions:

[tex]1) \frac{x}{5} =\frac{3}{6} \\\\2) \frac{5}{y} =\frac{3}{6}[/tex]

And cross-multiply:

[tex]1) 6x = 5*3 \\\\2) 3y = 5*6[/tex]

Then solved for x and y:

[tex]1) 6x = 15\\x=\frac{15}{6} =\frac{5}{2} =2.5 \\\\2) 3y = 30\\y=\frac{30}{3} =10[/tex]

Answer:

40 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

   =12 * 3 1/3

Change to an improper fraction

   = 12 ( 3*3+1)/3

   = 12 (10/3)

     40

Answer:

[tex]40 {ft}^{2} [/tex]

Step-by-step explanation:

[tex]area = l \times b \\ = 12 \times 3 \frac{1}{3} \\ = 12 \times \frac{10}{3} \\ = \frac{120}{3} \\ = 40 {ft}^{2} [/tex]

Answer:

3/5=0.600

Step-by-step explanation:

I hope this answer helps

The answer is 0.6.

Upto 3 decimal places it is 0.600.

Answer:

I am pretty sure it is B.

Step-by-step explanation:

This is a line with a positive slope, therefore we can discard c and d.

the sign < will mean that the shaded in area will be on your right side.

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Answer:

  (a) 0.625 seconds (rounds to 0.63)

  (b) 2.27 seconds

  (c) No

Step-by-step explanation:

(a) We want to find t such that h = 60

  60 = -16t^2 +10t +60

  0 = t(-16t +10) . . . . . . . . . subtract 60, factor

  t = 0  or  t = 10/16 = 5/8 = 0.625

The stone is again 60 feet above the water after 0.625 seconds.

__

(b) We want to find t such that h = 0

  0 = -16t^2 +10t +60

  16t^2 -10t = 60

  16(t^2 -5/8t +25/256) = 60 +25/16 . . . . complete the square

  (t -5/16)^2 = 61.5625/16 = 3.84765625 . . . . simplify a bit

  t = 5/16 +√3.84765625 ≈ 2.274 . . . . square root, add 5/16

The stone strikes the water at about 2.27 seconds.

__

(c) The equation above tells us the peak height of the stone is about 61.56 feet. It does not reach a height of 90 feet.

Answer:

equation for perpendicular bisector passing through CB is;

y=⁴/³– 5/30

Answer:

y = -9

Step-by-step explanation:

perpendicular to the y-axis means it is parallel to the x-axis.

so, it is a flat line, which means the slope is 0 (it has the save y value for every x value).

therefore the equation is

y = 0×x + b

of simply

y = b

to get b we look at the point we know about (0, -9).

-9 = b

aha !

so, the line equation is simply

y = -9

Answer:

t = 1/2 hour

Step-by-step explanation:

20480 = 80[tex]x^{t }[/tex]

20480 = 80[tex]x^{4 }[/tex]

20480/80  =  [tex]x^{4 }[/tex]

256 =  [tex]x^{4 }[/tex]

x = 4

doubling period

2 = [tex]4^{t}[/tex]

t = 1/2 hour

Answer:

0.3188646

Step-by-step explanation:

an=a×r^n-1

a6=0.6×0.9^5

=0.354294

1st swing: 0.6

2nd swing: 0.9×0.6=0.54

3rd swing: 0.9×0.54= 0.486

4th 0.9×0.486= 0.4374

5th 0.9×0.4374= 0.39366

6th 0.9×0.39366=0.354294

Brainliest please~

The bob travel in the first six swings will be 0.35 inches.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The length of the path of the first swing of the bob of a pendulum is 0.6 in.

Each succeeding swing is only 0.9 as long as the preceding one.

The first term is 0.6 and the common ratio is 0.9.

Then the bob travel in the first six swings will be

a₆ = 0.6 × (0.9)⁶⁻¹

a₆ = 0.6 × (0.9)⁵

a₆ = 0.6 × 0.59

a₆ = 0.35

The bob travel in the first six swings will be 0.35 inches.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

#SPJ2

Answer:

4300 x 12= 51600

20/100 x 51600

10,320 Rs  (also pay bohat kam hai :D )

Answer:

If you meant that the value of (x) is equal to 10, and you want that value divided by 2, then that would be easy!

10/2 is equal to 5.

If you meant something else, please let me know! :)

Answer:

Total number of possible combinations are 6

Length   width

23 dm     2m

21 dm       4 dm

19 dm       6 dm

17 dm         8 dm

15 dm         10 dm

13 dm          12 dm

Step-by-step explanation:

We are given that

Perimeter of rectangular garden=50 dm

Width is  even number.

Length is always longer than or equal to width.

Let length of rectangular garden=x

Width of  rectangular garden=y

We have to find the possible  number of combinations .

Perimeter of rectangular garden=[tex]2(x+y)[/tex]

[tex]2(x+y)=50[/tex]

[tex]x+y=50/2[/tex]

[tex]x+y=25[/tex]

If y=2 dm

x=25-2=23 dm

If y=4 dm

x=25-4=21 dm

If y=6 dm

x=25-6=19 dm

If y=8 dm

x=25-8=17 dm

If y=10 dm

x=25-10=15 dm

If y=12 dm

x=25-12=13 dm

If y=14 dm

x=25-14=11 dm

x<y

It is  not possible

Then, possible combinations are 6

Length   width

23 dm     2m

21 dm       4 dm

19 dm       6 dm

17 dm         8 dm

15 dm         10 dm

13 dm          12 dm

Given:

The range of a function is [tex]y<3[/tex].

To find:

The function for the given range from the given options.

Solution:

In option A, the given function is:

[tex]y=3(2)^x[/tex]

Here, [tex](2)^x[/tex] is always greater than 0. So, [tex]3(2)^x[/tex] is also greater than 0, i.e., [tex]y>0[/tex].

In option B, the given function is:

[tex]y=2(3)^x[/tex]

Here, [tex](3)^x[/tex] is always greater than 0. So, [tex]2(3)^x[/tex] is also greater than 0, i.e., [tex]y>0[/tex].

In option C, the given function is:

[tex]y=-(2)^x+3[/tex]

Here,

[tex](2)^x>0[/tex]

[tex]-(2)^x<0[/tex]

[tex]-(2)^x+3<0+3[/tex]

[tex]y<3[/tex]

The range of this function is [tex]y<3[/tex]. So, option C is correct.

In option D, the given function is:

[tex]y=(2)^x-3[/tex]

Here,

[tex](2)^x>0[/tex]

[tex](2)^x-3<0-3[/tex]

[tex]y<-3[/tex]

The range of this function is [tex]y<-3[/tex]

Therefore, the correct option is only C.

Answer:

1. 15 days

2. 0.17 acre.

Step-by-step explanation:

1. Determination of the number of days.

From the question given above,

The crew clears ⅓ acre of land in 2 days.

Therefore, the crew will clear 2½ acres in = (2½ × 2) / ⅓

= (5/2 × 2) × 3

= 15 days

Thus, the crew will clear 2½ acres in 15 days

2. Determination of the acre of land.

From the question given above,

The crew clears ⅓ acre of land in 2 days.

Therefore, the crew will clear X acre of land in 1 day i.e

X acre of land = ⅓ ÷ 2

X acre of land = ⅓ × ½

X acre of land = 1/6

X acre of land = 0.17 acre

Thus, the crew will clear 0.17 acre of land in 1 day

Answer:

C

Step-by-step explanation:

Let me know if you need an explanation

Answer:

$6.75

Step-by-step explanation:

The regular price is $15 dollars. The discount is 55% off the $15.

15 * 0.55 = 8.25

15 - 8.25 = 6.75

Hope this helps.

Answer:

discount =8.25

New price 6.75

Step-by-step explanation:

15 is the regular price

The discount is 55%

15*.55

8.25

The new price is the regular price minus the discount

15-8.25

6.75

Answer:

Angle ADB = 60 degrees

Step-by-step explanation:

This is a 60 60 60 triangle, which means all of its angles equal 60 degrees. Therefore angle ADB is 60 degrees.

Answer:

There were a total of 32 people on the hike.

Step-by-step explanation:

Represent the number of people total by p.  Then:

(5/8)p = c = the number of children

Since there are 20 children on the hike, (5/8)p must equal 20:

(5/8)p = 20

Solve for p by multiplying both sides by (8/5):

(8/5)(5/8)p = 20(8/5), or

              p = 32

There were a total of 32 people on the hike.

Answer:

72%

Step-by-step explanation:

68% + x/2 = 70%

68 + x = 140

x = 72

Answer:

the answer is n, 225 so u can use another app to make sure u find ur answer