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The right choice is: A whole number constant could have been subtracted from the exponential expression.

Let be an exponential function of the form [tex]y = A\cdot e^{B\cdot x}[/tex], where [tex]A[/tex] and [tex]B[/tex] are real numbers. A horizontal asymptote exists when [tex]e^{B\cdot x} \to 0[/tex], which occurs for [tex]B\cdot x \to - \infty[/tex].

For this function, the horizontal asymptote is represented by [tex]y = 0[/tex] and to change the value of the asymptote we must add the parent function by another real number ([tex]C[/tex]), that is to say:

[tex]y = A\cdot e^{B\cdot x} + C[/tex] (1)

In this case, we must use [tex]C = -3[/tex] to obtain an horizontal asymptote of -3. Thus, the right choice is: A whole number constant could have been subtracted from the exponential expression.

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Answer: C. A whole number constant could have been added to the exponent.

Step-by-step explanation: On Edge!

Answer:

35x does not equal 5 times 7Step-by-step explanation:

The second step ''(5 × 7) - (5 × 3)'' has an error.

Given that;

Luis made an error when he used the distributive property to write an equivalent expression.

Here the expression is,

35x - 15

It can be written as;

(5 × 7)x - (5 × 3)

Take 5 as common,

5 (7x - 3)

Therefore, the second step ''(5 × 7) - (5 × 3)'' has an error.

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The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

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Answer:

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

Answer:

9:50

Step-by-step explanation:

because, 8:07 ->8:58 +51

...+52

...+53

A pattern can either follow an arithmetic sequence, a geometric sequence or a user defined sequence.

The term that completes the sequence is (d) 9:49

The sequence is given as:

8:07, 8:58, ?, 10:43, 11:37

The above sequence follows an arithmetic sequence, and the common difference (d) is calculated using:

d = 8:58 - 8:07

This gives

d = 51 seconds

The missing term (which is the third term) is then calculated using:

T3 = 8:58 + 51 seconds

This gives

T3 = 9:49

Hence, the term that completes the sequence is (d) 9:49

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Answer: The length of the other diagonal is 10 cm...

So the diagonal formula is -  1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.

So,

1/2 * (8*d2) = 40

8d2= 40*2

d2= 80/8

d2= 10

A) 0.21, 0.25, 0.8

B) 3/4, 0.85, 0.857

hope this is helpful!

Answer:

It's B

And Prime Factorization is when 2 numbers have the same answer.

Example: 3x8=24 and 4x6=24

Step-by-step explanation:

Answer:

4 : 3 : 3

Step-by-step explanation:

2/5 of 150 = 300/5 or 60;  therefore, there are 60 blue marbles

3/10 of 150 = 450/10 or 45;  therefore, there are 45 clear marbles

150 - (60 + 45) = number of green marbles;  there are 45 green marbles

Blue : Clear : Green ratio is 60 : 45 : 45 or 4 : 3 : 3

The down payment will be $218.25, the total amount of the monthly payments is $1454.04.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Shania bought a $1,455 drum set on an installment plan.

The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each

Down Payment = (15/100)x1444

= $218.25

The total amount of the monthly payment = $80.78x18

= $1454.04

Total cost of the plan = $1454.04 + $218.25

= $1672.29

Finance charge = $1672.29 - $1455

= $217.29

Thus, the down payment will be $218.25, the total amount of the monthly payments is $1454.04.

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Answer: 84 m

Step-by-step explanation:

To find area, you multiply the width by the length ( A = L x W). Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:

5628 / 67 = 84

This tells us that the length of the pool is 87 meters. To check this answer, multiply 67 and 84. If it's equivalent to 5628, the given area, then 84 is indeed the length of the pool.

67 x 84 = 5628.

Thus, the length of the pool is 84 m.

Answer:

a) 110 mm

b) y = 11x

Step-by-step explanation:

The unit rate for  6 CD at 66 mm is

66mm / 6 CD  = 11 mm per CD

a) 10 CD's

66 mm      x mm

---------  = ------------

6 CD            10 CD

Using cross products

66 * 10 = 6x

660 = 6x

Divide by 6

660/6 = x

110 mm for 10 CD's

b)   y =  11 x

We use the rate and multiply by the number of cases to get the height

Answer:

10,100

Step-by-step explanation:

100*100=10000+100=10,000

Simplify

[tex]\\ \tt\Rrightarrow f(x)=(x+2)^2-1[/tex]

[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+2-1[/tex]

[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+1[/tex]

The Domain is set of all real numbers

[tex]\\ \tt\Rrightarrow Domain\in R[/tex]

Answer:

5/6

Step-by-step explanation:

10% off means the jeans will sell for 90% of the original price ( 100% - 10% = 90%)

Multiply the original price by 90%

65.00 x 0.90 = 58.50

He will pay $58.50

Answer:

Step-by-step explanation:

[tex]5x^2-20y^2\\=5(x^{2} -4y^2)\\=5[x^{2} -(2y)^2]\\=5(x+2y)(x-2y)[/tex]

Answer:

Step-by-step explanation:

Answer:

The correct answer option is 192

Step-by-step explanation:

We are given the results of a random survey about the preferred service for streaming movies.

We are to find the number of people we would expect to prefer Company B.

Number of people using service B = 32

Total number of people = 125

Number of people expected to prefer Company B =32/125 x 750  = 192

Answer:

y = 0

Step-by-step explanation:

Step-by-step explanation:

hope it would help you...

Answer:

The coordinates of J are missing.  Plus, I don't see options for the conclusions.  I made an imaginary point J, which you could correct to form the proper triangle.

Step-by-step explanation:

See the attachment.  Plot all the vertices, including a corrected point J and draw the resulting triangle.  It might be that AJKL is a slightly smaller, shifted version of AGHI.  Enter the correct coordinates and then compare.

Answer: 1.  w=-30%

              2.   c=361

Step-by-step explanation: 1.    15+15=30       2.      a looks the same size as c so c is 361 or same as a

Answer:

X = 10*9/5

= 2*9

= 18

Answer = 18

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

First way (equivalent fractions):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]\frac{x}{10}=\frac{18}{10}[/tex]

[tex]x=18[/tex]

Second way (cross multiplication):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]5x=90[/tex]

[tex]x=18[/tex]

Answer:

B) x=2y + 16

Step-by-step explanation:

First, you'd multiply the x/2 by 2 to get x by itself.

You do the same throughout the whole equation.

Then isolate the x by getting rid of the -16 to the other side by adding 16

Your final answer should be:

B) x=2y + 16

The value of x for the given equation x/2 - 8 = y will be x = 2y + 16 thus option (B) is correct.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

x/2 - 8 = y

Add 8 both sides,

x/2 - 8 + 8 = y + 8

x/2 = y + 8

Multiply by 2 both sides,

x/2 × 2 = (8 + y) × 2

x = 2y + 16

Hence "x = 2y + 16 will be the value of x in the equation x/2 - 8 = y".

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Answer:

what i learned was 8 are formed

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

your welcome