A baby elephant weighs 200 pounds at birth. It gains 3 pounds every day. Write an equation that represents this situation.

Answer:

2%

Correct Answer : 2%

Required Percentage = [ (130/(6.5 * 1000)) * 100]% = 2%.

Step-by-step explanation:

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Answer:

1)k=1.50408

2)=64

3)P(t)=64e^(1.50408t)

4)=118098

5)t=6.42 hrs

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions.

1. What is the relative growth rate?

2. What was the initial size of the culture?

3. Find an expression for the number of bacteria after t hours.

4. Find the number of cells after 5 hours.

5. When will the population reach 1000000?

To find relative growth rate, expression below can be used

P(t)= Po*e^(kt)

Where k= growth rate

Po= initial amount

t= time in hours

We were given The bacteria count as 1296 after 2 hours and 531441 after 6 hours. This can be expressed below as

P(2)= P(o)e^(2k)= 1296.........eqn(1)

P(6)= P(o)e^(6k)= 531441........eqn(2)

If we find the ratio of the two eqn we have

531441/1296 =[P(o)e^(6k)]/[P(o)e^(2k)]

410.0625= e^(4k)

If we take Ln of both side

ln 410.0625=ln(e^4k)

k=1.50408

1)= k=1.50408

2)

From P(2)= Po*e^(2k)= 1296

1296=Po × e^(2×1.50408)

1296= Po × e^(3.00816)

Po=1296/e^(3.00816)

=64

3) the expression is P(t)=64e^(1.50408t)

4). P(5)=64e^(1.50408×5)

=118098

5) P(t)= 1,000,000

1000000=64e^(1.50408t)

1000000/64 = 64e^(1.50408t)

Ln(15625)=ln[e^(1.50408t)]

9.657=e^(1.50408t)

t=6.42 hrs

Answer: 4/10 , 6/15, 8/20,

Step-by-step explanation:

Answer:  Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Given the equations;

2x  = 10

x = 10/2

x = 5

For the equation 2x > 10

x > 10/2

x > 5

The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5

Answer:

i would think that there would be at least 100 m&m in the bag

Step-by-step explanation:

i might be wrong a hven't had m&m in about 10 years

Answer:

Test statistic Z = 1.8099

Step-by-step explanation:

Step(i):-

Given that mean of the Population (μ) = 59.1 miles/gallon

Mean of the sample (x⁻ ) = 59.5

The standard deviation of the Population = 2.89

mean of the sample (n) = 160

Step(ii):-

Test statistic

              [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

              [tex]Z = \frac{59.5-59.1 }{\frac{2.89}{\sqrt{160} } }[/tex]

              Z = 1.8099

Test statistic = 1.8099

so since you're only doing 10% of 30, you get 3

add 3 to 30 and you get 33

Answer:

64

Step-by-step explanation:

2x(1/4 d)+d=96 (Rewrite the expression)

2x1/4d+d=96 (Reduce the numbers)

1/2d+d=96(Calculate)

3/2d=96 (Multiply both sides)

d=64

Answer:e

Step-by-step explanation:

Answer:

745 - 327= C      C = 418

Step-by-step explanation:

Here the positive intercept should be considered as the -1 and 5.

Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.

In this case it would be 0 feet.

So,

[tex]h(x)= -16x^2-16x+80x+80[/tex]

h(x)= -x(16x-16) +5(16x+16)

h(x)= (-x+5)(16x+16)

x intercepts = -1 and 5

Learn more about intercept here: https://brainly.com/question/15546484

Answer:

x>4

Step-by-step explanation:

Answer: x>-4

Step-by-step explanation:

1. Add five to both sides [ this will cancel out the five ]

6x - 5 > -29

     +5    +5    

----------------------

6x > -24

2. Divide by six on both sides

6x > -24

----    ------

6         6

WHICH EQUALS

x > -4      

Answer:

2x^1+1

Step-by-step explanation:

Area=L X W

which means that (14x^4+7x^2) needs to be divided by 7x^2

factorise(14x^4+7x^2) which gives 7x(2x^2+1)

divide 7x(2x^2+1) by 7x^2

gives 2x^2 +1

Answer:

The area of a rectangle is (14x^4 + 7x^2) cm²

and its breadth is 7x^2 cm.

it's length is :---

[tex] = \frac{(14{x}^{4} + 7 {x}^{2})}{7 {x}^{2} } \\ = \frac{7 {x}^{2}(2 {x}^{2} + 1) }{7 {x}^{2} } \\ = (2 {x}^{2} + 1) \: c {m}[/tex]

(2x^2+1) cm is the right answer.

Answer:

$7049 is the answer.

Step-by-step explanation:

Answer: $7980

Step-by-step explanation:

Follow the formula A=Pe^rt

A= 7500(e)^(.031)(2)

A= 7980

Answer:

The answer is x = 20

Step-by-step explanation:

If you set both equations equal to each other and solve for x, you will get 20.

3x+32 = 5x-8        add 8 to both sides

3x+40 = 5x           subtract 3x from both sides

40 = 2x                 divide by 2 on both sides

20 = x

Answer:

$7.20

Step-by-step explanation:

60% of 4.5 = 2.7

4.5+2.7 = $7.2

Answer:

7.2

Step-by-step explanation:

So u do 60% of 4.5 and add ur answer to 4.5

Answer:

27

Step-by-step explanation:

3/10 / 30% / .3

3        x

10        90            -use criss cross method so 3 and 90 and x times 10

270 =10x

27=x

you can also go on a calculator and type 90 times 0.3 and get the answer too

Answer:

Susana will have 107 students.

Step-by-step explanation:

Becca have students = 115

We can write its as:

Becca has 115 students, so Susana will have 115-8 = 107 students

Because fewer means less than so, 8 less than 115 is 115-8

We can write it as:

Susana has 107 students, so Erika will have: 107+25 = 132 students.

because more means we need to add 25 students with number of students in Susana class.

So, Susana will have 107 students.

Answer:

[tex]y = \frac{2}{3} x - 2 \\ [/tex]

Answer:

y=4/7x

Step-by-step explanation:

Graph the point (4,7) and (0,0) because x is pint and y is servings

The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.

Answer:

80,000,000

Step-by-step explanation:

Answer:

 8 pages per minute

Step-step explanation:

24 / 3

Answer:

33

Step-by-step explanation:

3(3) + 2 (2(3)+6)

=9 + 2 (12)

=9 + 24

=33

Answer:

0.042%

How much is the decimal number 0.00042 written as (converted to) a percent value? Answer: 0.042%

Step-by-step explanation:

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Answer:

0.042%

Step-by-step explanation:

0.00042 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 0.00042 * 100 = 0.042% and then you get your answer!

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Solution:

For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.

Number Line:

A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.

So,

We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.

SO,

34 + (-212) = 34 - 212 = -178

Hence,

Our sum which is 178 will lie on the left hand side of the number line.

Answer:

x = 79.799

Step-by-step explanation:

Apply trigonometric ratio formula to find x.

Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.

✔️Adjacent length of the triangle with reference angle 40°:

tan (40) = 110/adj

adj*tan(40) = 110

Adjacent length = 110/tan(40)

Adjacent length = 131.093 (nearest thousandth)

✔️Adjacent length of the triangle with reference angle 65°:

tan (65) = 110/adj

adj*tan(65) = 110

Adjacent length = 110/tan(65)

Adjacent length = 51.294 (nearest thousandth)

✔️Find x:

x = 131.093 - 51.294

x = 79.799