distance=100km, time=75 minutes, speed=?

There are 16 years will it take for the population to quadruple i.e. four times the initial population.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

Given that a population of a country grows exponentially and continuously at a rate of 9% per year.

The number of years it takes for the population to quadruple i.e. four times the initial population.

As per the given condition, the required solution would be as:

⇒ 4p = p[tex]e^{0.09t}[/tex]

Divided by p into both sides of the above equation,

⇒ 4p/p = p[tex]e^{0.09t}[/tex]/p

⇒ 4 = [tex]e^{0.09t}[/tex]

Take the natural logarithm of both sides of the equation,

⇒ ln 4 =  ln  [tex]e^{0.09t}[/tex]

⇒ ln 4 = 0.09t ln e

∵ ln e = 1

⇒ ln 4 = 0.09t

Divided by 0.09 into both sides of the above equation,

⇒ ln 4 / 0.09 = 0.09t / 0.09

⇒ t = 16

Thus, there are 16 years will it take for the population to quadruple.

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Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60   Eqn 1

x=2y+9   Eqn 2

Putting value of Eqn 2 in Eqn 1;

[tex](2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51[/tex]

Dividing both sides by 3,

[tex]\frac{3y}{3}=\frac{51}{3}\\y=17\\[/tex]

Putting y=17 in Eqn 2

[tex]x=2(17)+9\\x=34+9\\x=43[/tex]

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

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Answer: The answer is equivalent fractions.

Step-by-step explanation:

I hope this helped you! :D

Answer:

Not exactly sure what "funny numbers" are but I'm assuming you mean prime numbers? In that case there are a total of 7 prime numbers between 30 and 60.

Step-by-step explanation:

Answer:

42 but with no 0

Answer:

number 7 is y= [tex]\frac{-ax+c}{b}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm not sure I would cross multiply as my first step.

How about subtracting 7/3 first.

0.5x = 21/4 - 7/3

0.5x = 21*3/(4*3) - 7*4/(3*4)

0.5x = 63 / 12 - 28/12

0.5x = 35/ 12                      Now multiply by 2

2*0.5x = 35*2 / 12

x = 70/12

x = 5 10/12   or

x = 5 5/6      or

x = 5.8333333

There might be a slightly easier way of doing this.

Suppose you multiply by 2 to begin with

x + 14/3 = 42/4

x + 14/3 = 21/2

x = 21/2 - 14/3

x = 63/6 - 28/6

x = 35/6

x = 5 5/6

I don't think there is much difference in how you do it. The numbers are just plain ugly.  

Answer:

x=17

Step-by-step explanation:

8*17=136+20=156

11*17=187-31=156

      156=156

Answer:

Rational Numbers

Step-by-step explanation:

A hat size cannot be integers as that would include negative numbers. For example a person who's hat size is 7 & 5/8 which would make the answer 7.625 which is a rational number.

Answer:

"Rational numbers" is the set of numbers among the choices that are given in question that is the most reasonable to describe a person's hat size.

Step-by-step explanation:

rational numbers are by far the most reasonable description.   The circumference of the human head certainly is not always an integer or whole number.

For this item, i go with letter D. Rational. The hat size cannot be integers as it includes negative numbers. For instance the person's hat size is 7 + 5/8 which leads to an answer of 7.625. That is a rational number. 

hope this helps you

if this is correct can you give me the brainliest

Answer: Its 8 hours a day.

              56/7=8hours

Answer:

square root of 221

Step-by-step explanation:

d= sqrt (14-3)^2 + (2-12)^2

sqrt 121+100= sqaure root of 221

Answer:

Distance between the points (3, 12) and (14, 2) is 14.8661

Step-by-step explanation:

Distance between two points = √(xB−xA)^2+(yB−yA)^2

Solution :

Distance between two points = √(14−3)^2+(2−12)^2

= √11^2+(−10)^2

= √121+100

= √221 = 14.8661

Answer:

B) 5 5/9

Step-by-step explanation:

13 1/3=40/3

7 7/9=70/9

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

40/3-70/9=120/9-70/9=50/9=5 5/9

The vertex form of y = x² + 16x - 71 is (x + 8)² - 135

Step-by-step explanation:

The vertex form of the quadratic function y = ax² + bx + c, is

y = a(x - h)² + k, where

∵ The quadratic function is y = x² + 16x - 17

- Compare it with the general form of the quadratic function above

∴ a = 1 , b = 16 and c = -71

∵ [tex]h=\frac{-b}{a}[/tex]

- Substitute the value of a and b is h

∴ [tex]h=\frac{-16}{2(1)}[/tex]

∴ [tex]h=\frac{-16}{2}=-8[/tex]

∵ k = y when x = h

- Substitute x by -8 in the function above

∴ k = (-8)² + 16(-8) - 71

∴ k = 64 - 128 - 71

∴ k = -135

∴ The vertex point is (-8 , -135)

∵ The vertex form is y = a(x - h)² + k

∵ a = 1 , h = -8 , k = -135

- Substitute these values in the vertex form above

∴ y = 1(x - (-8))² + (-135)

∴ y = (x + 8)² - 135

The vertex form of y = x² + 16x - 71 is (x + 8)² - 135

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Answer:

Step-by-step explanation:

Final answer:

The fraction of the tomato Mark will slice is [tex]\frac{1}{6}[/tex]. Using fraction strips, 4 members each getting [tex]\frac{1}{6}[/tex] of the tomato equals [tex]\frac{2}{3}[/tex] of the total tomato.

Explanation:

The fraction of the tomato Mark will slice is [tex]\frac{1}{6}[/tex].

We can represent this using fraction strips. If Mark slices 4 members of his family, each getting [tex]\frac{1}{6}[/tex] of the tomato, we can visually represent this as Dividing the fraction strip into 6 equal parts. Shade in 1 part of the strip, representing [tex]\frac{1}{6}[/tex] of the tomato.

If Mark slices 4 members, he will slice 4 times [tex]\frac{1}{6}[/tex], which equals [tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex] of the tomato.

Answer: I think something is missing ?? sorry comment down below

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Using subtraction method, the distance between 3 and 10 is 7. On the number line, the starting point is 3; therefore, from 3 movement will take seven times to get to 10.

Answer:

8 percent

Step-by-step explanation:

When you're trying to find the percentage, first, you divide what you're trying to find over the total amount.

2/25.

What you get from this is 0.08. However, this is a decimal, not a percent. When converting from decimal to percent, you multiply the decimal by 100 to get 8 percent.

Answer:

8%

Step-by-step explanation:

2/25=8/100=0.08=8%

Answer:

The value are

f = 6 cm

g = 8 cm

Step-by-step explanation:

Given:

ABCE is Trapezium

AD || BC

AD = BC = f

CD = g

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

To Find :

f  = ?

g = ?

Solution:

In the figure ∠ C = 90° and AD || BC

∴ ∠ D = 90° .....Corresponding angles are equal

∴ ABCD is RECTANGLE With Length = f and Breadth = g

∴ [tex]\textrm{Area of Rectangle}=Length\times Breadth\\\textrm{Area of Rectangle}=f\times g\\[/tex]

[tex]\textrm{Area of Triangle AED}= \textrm{Area of Trapezium ABCE}-\textrm{Area of Rectangle ABCD}\\=60-48\\=12\ cm^{2} \\\therefore \textrm{Area of Triangle AED} = \frac{1}{2}\times AD\times DE\\12 =\frac{1}{2}\times f\times 4\\ f=\frac{24}{4}\\\therefore f= 6\ cm[/tex]

Now,

∴ [tex]\textrm{Area of Rectangle}=Length\times Breadth\\\textrm{Area of Rectangle}=f\times g\\[/tex]

[tex]\therefore 48 = f\times g\\48= 6\times g\\\therefore g =\frac{48}{6}\\ g=8\ cm[/tex]

The value are

f = 6 cm

g = 8 cm

Answer:

Yes

Step-by-step explanation:

[tex]\sum_{n=1}^{\infty} e^{-\sqrt{n} } \\\sum_{n=1}^{\infty} (\frac{1}{e})^{\sqrt{n} }[/tex]

If we say u = √n, then:

[tex]\sum_{u=1}^{\infty} (\frac{1}{e})^{u}[/tex]

This is a geometric series.  Since |1/e| < 1, the series converges.

Answer:

x=4

Step-by-step explanation:

-2(x+2)=-12

x+2=-12/-2

x+2=6

x=6-2

x=4

Answer:

B) y=1/4x

Step-by-step explanation:

Because the slope of this graph is 1/4. You can find this because slope=rise/run. On the graph, it's always 1 upward and 4 rightwards, therefore, the slope is 1/4. Also, the y-intercept is 0 in this case.

Answer:

A. He has to work 5,887hrs and 55 min

B. 3,504 weeks

Step-by-step explanation:

A. He earns $9 an hr. He works 9hrs a week, or 1hr 17 min a day. $11.52 per day.

The car costs $52,753, + $235(taxes, titles, and plates)= $52,988.

52,988/9=5,887:55

B.    One week= 168 hrs. 5,887:55/168=3,504 weeks

Ryan needs to work approximately 5888 hours, which translates to about 654 weeks or 12.5 years, to save enough to buy a used car and pay for taxes, title, and plates at his current wage of $9 an hour.

To determine how many hours Ryan needs to work to afford a used car plus additional costs, we first add the price of the car to the taxes, titles, and plates. The cost of the used car is $52,753, and the taxes, titles and plates amount to $235, giving us a total cost of $52,988.

Ryan earns $9 per hour. To find out how many hours he needs to work to earn $52,988, we divide the total cost by his hourly wage.

$52,988 / $9 per hour = 5887.555... hours

Ryan would need to work approximately 5888 hours to afford the car and the extra costs.

For part B, we calculate how many weeks Ryan needs to work. Since Ryan works 9 hours a week, we divide the total hours needed by his weekly hours.

5888 hours / 9 hours per week = 654.222... weeks

Ryan would need to work approximately 654 weeks, which is roughly 12.5 years, assuming he works every week without any breaks or holidays.

Answer:

-37

Step-by-step explanation:

-5(6) - 7

= -30-7

= -37

Hope this helps!

Answer:

-37.

Step-by-step explanation:

The order of operations is given by PEDMAS.

ParenthesesExponentsDivideMultiplyAddSubtract.

- 5 x 6 - 7:

Multiplication is done before Subtraction:

= -30 - 7

= -37.

Answer:

Step-by-step explanation:

A) x/840=1/21

x=(1/21)*840=840/21=40

x=40

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

B) 14/x=16/20

simplify 16/20 into 4/5

14/x=4/5

x=14/(4/5)=(14/1)(5/4)=70/4

simplify

x=35/2

Answer:

The missing side “x” is 2.

Step-by-step explanation:

From the given figure, we came to know that these are “similar triangles” where the ratio of the one “corresponding side” of a triangle is equal to the other two “corresponding sides” of a triangle.

Let the triangles be ∆ABC and ∆DEF

[tex]\Delta A B C \sim \Delta D E F[/tex]

From similarity of triangle rule the sides,

[tex]\frac{A B}{D E}=\frac{B C}{E F}[/tex]

Given that,  

AB = x, DE = 8, BC = 4 and EF = 16

[tex]\text { Substitute the values in } \frac{A B}{D E}=\frac{B C}{E F} \text { to find }^{u} \mathrm{x}^{\prime \prime}[/tex]

[tex]\frac{x}{8}=\frac{4}{16}[/tex]

[tex]\frac{x}{8}=\frac{1}{4}[/tex]

[tex]x=\frac{8}{4}[/tex]

x = 2

Therefore, we found the missing side x = 2

Answer:

5x-2y + 8 =0

Step-by-step explanation:

2y=5x+8

5x-2y + 8 =0

Answer:

Each students will get 3 tickets and 2 brownies  .

Step-by-step explanation:

Given as :

The total number of tickets issued for the school dance = 64

The number of brownies ordered for refreshment table = 96

Let the number of tickets given to each student = x

And The number of brownie given to each student = y

Now,

According to question

The tickets and brownies is distributed equally among students

So , Now, consider the tickets and brownies = n

Or, [tex]\dfrac{n}{64}[/tex] - [tex]\dfrac{n}{96}[/tex] = 1

Or, Taking LCM we get

[tex]\dfrac{3 n - 2 n}{192}[/tex] = 1

Or, [tex]\dfrac{n}{192}[/tex] = 1

∴ n = 192

Now,

The number of tickets given to each student = x = [tex]\dfrac{192}{64}[/tex]

I.e x = 3

And The number of brownie given to each student = y =  [tex]\dfrac{192}{96}[/tex]

I.e y = 2

Hence Each students will get 3 tickets and 2 brownies  . Answer

To ensure each student gets an equal number of tickets and brownies, we distribute 64 tickets and 96 brownies among the students. Each student gets 2 tickets and 3 brownies.

To determine how many tickets and brownies each student gets, follow these steps:

Hence, Each student will get 2 tickets and 3 brownies.

Answer:

9w+8f+46, 11m+7, 3.1p-8.37, 8+5m.

Step-by-step explanation:

9(w+6)+4f+4(f-2)

9w+54+4f+4f-8

9w+54-8+8f

9w+46+8f

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

2m+7+9m=2m+9m+7=11m+7

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

3.1(p-2.7)=3.1p-8.37

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

5(3+m)-7=15+5m-7=8+5m

Answer:

Lacy is 14 and Jack is 56

Step-by-step explanation:

This problem is tricky. Let's break it down.

1/4 - book

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

1/3 of the remainder(3/4) - stationery

"OF" MEANS MULTIPLY

1/3 x 3/4 = 1/4

So, 1/4 of total allowance on stationery.

Meaning, he spent 1/2 of his allowance in all, and 1/2 of his allowance is $18.

Since the book cost 1/4 of his allowance, and (1/4)2 = 1/2, the book cost 18/2 = $9.

Answer:

g(x) is translated six units down from f(x).

Step-by-step explanation:

f(x ± k) is for a horizontal translation. So that rules out the first two.

f(x) ± k is a vertical translation. In this case, a negative number means it's moving down and a positive means it's moving up. Because we have a negative (in other words subtracting) we move line on the graph down.

The best description of the graph of g (x) with respect to the graph of

f (x) will be;

''g (x) is translated 6 units down from f (x)''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The functions are,

⇒ f (x) = 3/4 x

And, g(x) = (3/4)x - 6

Now,

Since, We know that;

The function f (x) after the translation 'a' unit down, so we get the new function,

⇒ g (x) = f (x) - a

Here, The function g (x) is translation of f (x).

Thus, The best description of the graph of g (x) with respect to the graph of f (x) will be;

''g (x) is translated 6 units down from f (x)''

Therefore, The best description of the graph of g (x) with respect to the graph of f (x) will be;

''g (x) is translated 6 units down from f (x)''.

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