A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.
What is the multiplicative rate of change of the exponential function represented in the table?

1.5
2.25
3.0
4.5

Answer: 40 burgers

Step-by-step explanation: Since we know the ratio is 2:3, and an equal ratio for the first number is 16, we can multiply both sides by 8, (2 x 8 = 16, 3 x 8 = 24) and add them together to get 40.

Answer:

The slope of the line is 3.

Step-by-step explanation:

Given function;

x(t) = -t² + 5t

y(t) = 3t, when t = 2

[tex]\frac{dx}{dt} = -2t + 5[/tex]

[tex]\frac{dy}{dt} = 3[/tex]

[tex]\frac{dy}{dx}= \frac{dy}{dt} \ \times \ \frac{1}{\frac{dx}{dt} } \\\\\frac{dy}{dx}= 3 \ \times \frac{1}{-2t + 5} \\\\\frac{dy}{dx}= \frac{3}{-2t + 5}[/tex]

t = 2

[tex]Then, \ \frac{dy}{dx}= \frac{3}{-2(2) + 5} \\\\\frac{dy}{dx}= \frac{3}{-4 + 5} \\\\\frac{dy}{dx}= \frac{3}{1} \\\\\frac{dy}{dx}= 3[/tex]

Therefore, the slope of the line is 3.

Answer:

r = 8.2

Step-by-step explanation:

5r – 10 = –51

5r = –41

r = 8.2

Answer:-20

Step-by-step explanation:

First divide 60 by 3 as you would regularly.

Your answer should be 20

Make sure to remember when multiplying with integers:

negative x negative = positive

positive x positive = positive

negative x positive = negative

positive x negative = negative

Make sure to remember when dividing with integers:

positive / positive = positive

negative / negative = positive

positive / negative = negative

negative / positive = negative

Because this question is a "positive / negative" your answer would be negative. Therefore your answer is -20

I hope this helps! :)

Answer:

-28    +    -1    =    -29

     -14    +    -2    =    -16

     -7    +    -4    =    -11

     -4    +    -7    =    -11

     -2    +    -14    =    -16

     -1    +    -28    =    -29

     1    +    28    =    29

     2    +    14    =    16

     4    +    7    =    11

     7    +    4    =    11

     14    +    2    =    16

     28    +    1    =    29

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

108 - 40x - 16x - 60

-40x -16x = -108 +60

-56x = -48

x = 6/7

Answer:

From the most right side it's 2^0 which is 1. The other ones are 2^4 and 2^3, So 16+8+1=25

Answer:

To fill out a function's sign chart, you will need to test numbers before and after each of the function's zeros and asymptotes.

Hope this helps:) Happy New Year!

Answer:

Step-by-step explanation:

Choose a random fraction less than 1. I will choose 1/4.

1/6 ÷ 1/4 = 1/6 × 4/1 = 4/6 = 2/3

2/3 > 1/6 so this example supports his claim.

Now chose a fraction greater than 1. I will choose 4/3

1/6 ÷ 4/3 = 1/6 * 3/4 = 3/24

3/24 < 1/6 so this contradicts his claim

Answer:

1. LCM of 7, 10 and 3 = 210

2. LCM of 15, 3 and 2 = 30

3. LCM of 7, 3 and 5 = 105

4. LCM of 4 and 7 = 28

Step-by-step explanation:

Solving (1): LCM of 7, 10 and 3

First, factorize each of the numbers:

[tex]7 = 1 * 7[/tex]

[tex]10 = 1 * 2 * 5[/tex]

[tex]3 = 1 * 3[/tex]

Multiply the factors the highest number of times it occur in any of the terms

[tex]LCM = 1 * 2 * 3 * 5 * 7[/tex]

[tex]LCM = 210[/tex]

Solving (2): LCM of 15, 3 and 2

First, factorize each of the numbers:

[tex]15 =1 * 3 * 5[/tex]

[tex]3 = 1 * 3[/tex]

[tex]2 = 1 * 2[/tex]

Multiply the factors the highest number of times it occur in any of the terms

[tex]LCM = 1 * 2 * 3 * 5[/tex]

[tex]LCM = 30[/tex]

Solving (3): LCM of 7, 3 and 5

First, factorize each of the numbers:

[tex]7 = 1 * 7[/tex]

[tex]3 = 1 * 3[/tex]

[tex]5 = 1 * 5[/tex]

Multiply the factors the highest number of times it occur in any of the terms

[tex]LCM = 1 * 3 * 5 * 7[/tex]

[tex]LCM = 105[/tex]

Solving (4): LCM of 4 and 7

First, factorize each of the numbers:

[tex]4 = 1 * 4[/tex]

[tex]7 = 1 * 7[/tex]

Multiply the factors the highest number of times it occur in any of the terms

[tex]LCM = 1 * 4 * 7[/tex]

[tex]LCM = 28[/tex]

Answer: 28

Step-by-step explanation:

Answer:

0.4 = 2/5

0.6 =3/5

Step-by-step explanation:

Answer:

0.4 is 2/5 as a fracture

0.6 is 3/5 as a fraction

Answer:

D

Picture proof, got 0 out of 3 RIP

Answer:

Left 2 and down 1

Step-by-step explanation:

Answer:

$16.80

Step-by-step explanation:

0.30 × 24 = 7.20

24 - 7.20 = $16.80

Hope that helps.

1.25 x 1.75

(20/16) x (28/ 16)

The required blueprint dimensions of a room are given as 1.25 in.  × 1.75 in. Option C is correct.

As mentioned in the question,
The scale factor of 1 inch = 16 feet, dimensions of a room that is 20 feet * 28 feet.
Dimensions of a room on a blueprint is to be determined.

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
1 inch = 16 feet
1 feet = 1/16 inch,
Now,
Scaled dimensions,
= 20 (1/16) inch × 28 (1/16) inch
= 1.25 in × 1.75 in

Thus, The required blueprint dimensions of a room are given as 1.25 in.  × 1.75 in. Option C is correct.

Learn more about Scale factors here:

https://brainly.com/question/22312172

#SPJ2

Answer:

I know one of the statements will he that angle 1 is congruent to angle 2. the reason to that will be that they are vertical angles.

Answer:

((1)/(2),-(1)/(2))

Step-by-step explanation:

Work Shown:

Divide the two amounts, smaller over bigger, to get

231/2100 = 0.11

Then move the decimal point over two spots to the right to get to 11%

Note how 11% of 2100 = 0.11*2100 = 231.

Answer:

Joshua worked 4 hours and luke worked 7

Step-by-step explanation:

25x + 35x +105 = 345

60x = 345 - 105

60x = 240

x = 240/60

x = 4 hours

Answer:

(3,-7)

Step-by-step explanation:

i’ll explain in the comments :)

Answer:

b I'm sure byyyyyyyyyyyyy

Answer:

Then it would be 4n squared + 21

Step-by-step explanation:

Answer:

(2n - 7)^2

Step-by-step explanation:

both 4n^2 and 49 are perfect squares so take their square roots and get 2n and 7

Answer:

S (1 , 0)

T (7 , 1)

Step-by-step explanation:

If QRST is a parallelogram, P is the mid point of segment QS and segment RT.

Basic formula for mid-point of segment: ((x1+x2)/2 , (y1+y2)/2)

T (x₁ , y₁)    S (x₂ , y₂)   P (2 , 3)    Q (3 , 6)   R (-3 , 5)

2 = (x₁ + (-3))/2         x₁ = 7

3 = (y₁ + 5)/2            y₁ = 1

T (7 , 1)

2 = (x₂ + 3))/2         x₂ = 1

3 = (y₂ + 6)/2           y₂ = 0

S (1 , 0)

ANSWER

Given,

AB=5 cm,BC=12 cm

So, AC=

5

2

+12

2

=13

We know that

x=

2

AB+BC−AC

x=

2

5+12−13

x=

2

4

x=2 cm

Hence, this is the answer.

Answer:

x = 68

Step-by-step explanation:

The consecutive angles of a parallelogram are supplementary, sum to 180° , then

69 + 43 + x = 180 , that is

112 + x = 180 ( subtract 112 from both sides )

x = 68

Answer: if the exponent is negative, you just divide the bottom number by the exponent as a positive number

Answer:

36 crickets per day

Step-by-step explanation:

Calculation for how many crickets do the lizards eat each day

 Using this formula

Numbers crickets eaten per day=Crickets per week/Numbers of days in a week

Let plug in the formula

Numbers crickets eaten per day=250 crickets per week/7days

Numbers crickets eaten per day=35.7

Numbers crickets eaten per day=36 crickets per day (Approximately)

Therefore the numbers of crickets that the lizards eat each day is 36 crickets per day

Answer:

x=3 , y=-1

Step-by-step explanation:

9x-13=6x-4

9x-6x=13-4

3x=9

x=3

9y+16=4y+11

9y-4y=11-16

5y=-5

y=-1

Answer:

E1800.00

Step-by-step explanation:

1584 and x. Change is 12.

x-1584/x=0.12

x-1584=0.12x

x-0.12x=1584

0.88x=1584

x=1584/0.88

x=1800.

Hope this helps plz hit the crown :D

Answer:

-4x^2 - 8......input (x) = 2

Step-by-step explanation:

-4(2^2) - 8 =

-4(4) - 8 =

-16 - 8 =

- 24 <==

i hope this helps you :)

9514 1404 393

Answer:

  Table B

Step-by-step explanation:

If a table is to represent a function, it cannot have any repeated input values.

Table A repeats the input value 5.

Table C repeats the input value 1.

Table D repeats the input value 4.

Table B represents a function.