A strawberry and banana juice blend is made with a ratio of strawberry to banana of 2:3. Fill in the table to show different proportional amounts

Step-by-step explanation:

Here,

by formula a^2+b^2=(a+b)^2-2ab

so,

or,(a+b)^2-2ab

or,(73)^2-2×65

or,5329-126

=5203 is the answer

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:

equation for perpendicular bisector passing through CB is;

y=⁴/³– 5/30

Answer:

C

Step-by-step explanation:

Let me know if you need an explanation

If x + 1, x - 5, and x - 2 are in a geometric progression, then there is some constant r for which

x - 5 = r (x + 1)

==>   r = (x - 5) / (x + 1)

and

x - 2 = r (x - 5)

==>   r = (x - 2) / (x - 5)

Then

(x - 5) / (x + 1) = (x - 2) / (x - 5)

Solve for x :

(x - 5)² = (x - 2) (x + 1)

x ² - 10x + 25 = x ² - x - 2

-9x = -27

x = 3

It follows that the ratio between terms is

r = (3 - 5) / (3 + 1) = -2/4 = -1/2

Now, assuming x + 1 = 4 is the first term of the G.P., the n-th term a(n) is given by

a(n) = 4 (-1/2)ⁿ⁻¹

The sum of the first 12 terms - denoted here by S - is then

S = 4 (-1/2)⁰ + 4 (-1/2)¹ + 4 (-1/2)² + … + 4 (-1/2)¹¹

Solve for S :

S = 4 [(-1/2)⁰ + (-1/2)¹ + (-1/2)² + … + (-1/2)¹¹]

(-1/2) S = 4 [(-1/2)¹ + (-1/2)² + (-1/2)³ + … + (-1/2)¹²]

==>   S - (-1/2) S = 4 [(-1/2)⁰ - (-1/2)¹²]

==>   3/2 S = 4 (1 - 1/4096)

==>   S = 8/3 (1 - 1/4096)

==>   S = 1365/512

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.

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Answer:

Step-by-step explanation:

The only factor outside parentheses that contain 2 terms is the factor 3/5. It can be distributed. (The correct response is shown.)

  3/5 can be distributed

__

The only like terms that reside on the same side of the equal sign are ...

  18 and -1

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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: 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:

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

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°

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:

[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:

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:

The sixth floor

Step-by-step explanation:

Answer:

The domain and range remain the same.

Step-by-step explanation:

Hi there!

First, we must determine what increasing a by 2 really does to the exponential function.

In f(x)=ab^x, a represents the initial value (y-intercept) of the function while b represents the common ratio for each consecutive value of f(x).

Increasing a by 2 means moving the y-intercept of the function up by 2. If the original function contained the point (0,x), the new function would contain the point (0,x+2).

The domain remains the same; it is still the set of all real x-values. This is true for any exponential function, regardless of any transformations.

The range remains the same as well; for the original function, it would have been [tex]y\neq 0[/tex]. Because increasing a by 2 does not move the entire function up or down, the range remains the same.

I hope this helps!

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

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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:

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.

Answer:

Following are the solution to the given points:

Step-by-step explanation:

[tex]Ann=\$3,20,000\\\\Bob=\$4,40,000\\\\Carol=\$240,000\\\\Denis= \$4,00,000\\\\[/tex]

Each player's offer divided by the total number of players calculates the fair share

Ann's fair share [tex]= \frac{\$320,000}{4} = \$80,000\\\\[/tex]

Bob's fair share[tex]= \frac{\$440,000}{4} = \$110,000\\\\[/tex]

 Carol's fair share [tex]= \frac{\$240,000}{4} = \$60,000\\\\[/tex]

Denis's fair share [tex]= \frac{\$400,000}{4} = \$100,000\\\\[/tex]

 Because Bob has the highest bid, that receives in the business.

Payments:

 Ann [tex]\$80,000[/tex] paid by estate

 Bob [tex]= \$440,000 - \$110,000 = \$330,000[/tex] owes estate

 Carol [tex]= \$60,000[/tex] paid by estate

 Denis [tex]= \$100,000[/tex] paid by estate  

Surplus [tex]= \$330,000 - (\$80,000+\$60,000+ \$100,000) = \$90,000[/tex]  

Splitting the equally among the four players. therefore one of the each receives:

[tex]\frac{\$90,000}{4}= \$22,500[/tex]

The final settlement of the Ann receives:

[tex]= \$80,000+ \$22,500 = \$102,500[/tex]

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:

72%

Step-by-step explanation:

68% + x/2 = 70%

68 + x = 140

x = 72

Answer:

4300 x 12= 51600

20/100 x 51600

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

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:

A. the change in wind speed for every 1 kPa increase in air pressure

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b;

where y, x are variables, m is the slope (rate of change) of the line and b is the y intercept (value of y when x = 0)

Given the line y=−1.22x+1250 where x is the air pressure in millibars (kPa) and y is the wind speed in knots.

The slope of the line is -1.22. The slope means that there is a decrease in wind speed by 1.22 miles per hour for every increase of 1 kPa in air pressure.

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:

Option B

Step-by-step explanation:

If the larger triangle (Preimage) is dilated by a scale factor 'k' to form the image triangle (small triangle),

Scale factor = [tex]\frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the preimage}}[/tex]

                 k = [tex]\frac{3}{2.4}[/tex]

Therefore, Option B will be the correct option.

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Answer:

  C.  2cos²(x)

Step-by-step explanation:

The relevant identities are ...

  cos(2x) = cos²(x) -sin²(x)

  cos²(x) = 1 -sin²(x)

__

Then the expression can be simplified to ...

  cos(2x) +1 = (cos²(x) -sin²(x)) +1 = cos²(x) +(1 -sin²(x)) = cos²(x) +cos²(x)

  = 2cos²(x)

Answer:

the second one

Step-by-step explanation:

it is not going in any general direction

Answer:

B

Step-by-step explanation: