One leg of a right triangle has a slope of -4. What is the slope of the other leg?

Answer:

- The population in 2001 is 23.1 million

- It will reach 28.3 million in 2013

Step-by-step explanation:

Given

[tex]A =23.1e^{0.0152t}[/tex]

Solving (a): Population in 2000.

This implies that

[tex]t = 2000 - 2000[/tex]

[tex]t = 0[/tex]

So, we have:

[tex]A =23.1e^{0.0152t}[/tex]

[tex]A =23.1e^{0.0152*0}[/tex]

[tex]A =23.1e^{0}[/tex]

Solve the exponent

[tex]A =23.1*1[/tex]

[tex]A =23.1[/tex]

The population in 2001 is 23.1 million

Solving (b): When will it reach 28.3 million

This implies that:

[tex]A =28.3[/tex]

So, we have:

[tex]A =23.1e^{0.0152t}[/tex]

[tex]28.3 = 23.1e^{0.0152t}[/tex]

Divide both sides by 23.1

[tex]1.225 = e^{0.0152t}[/tex]

Take natural logarithm of both sides

[tex]ln\ 1.225 = ln(e^{0.0152t})[/tex]

Rewrite as:

[tex]ln\ 1.225 = 0.0152t\ ln(e)[/tex]

[tex]ln(e) = 1[/tex]

So:

[tex]ln\ 1.225 = 0.0152t*1[/tex]

[tex]ln\ 1.225 = 0.0152t[/tex]

Make t the subject

[tex]t = \frac{ln\ 1.225}{0.0152}[/tex]

[tex]t = \frac{0.2029}{0.0152}[/tex]

[tex]t \approx 13[/tex]

Add the value of t to 2013 to get the actual year

[tex]Year = 2000 +13[/tex]

[tex]Year = 2013[/tex]

It will reach 28.3 million in 2013

Answer:

There is four boxes I answered this in order

1st box: 3

2nd Box:  7

3rd box: 15

4th box : 19

5th box ; 16

Step-by-step explanation:

This is simple

Answer:

C

Step-by-step explanation:

[tex]\frac{9}{9}=1[/tex]

[tex]1=\frac{20}{20}[/tex]

[tex]\frac{19}{20} <\frac{20}{20}[/tex]

[tex]\frac{13}{6}=2\frac{1}{6}[/tex]

[tex]1<2\frac{1}{6}[/tex]

This additition is false

the true answer is 705

Its base on my understanding:)

#CarryOnLearning

#NoToCopyPaste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you

Answer:

Answer is 51

Step-by-step explanation:

5(6) + 3(7)

30 + 21

51

Answer:

first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51

Step-by-step explanation:

5x+3y

5(6)+3(7)

30+21

51

hope this helps

Answer: 2 dolls

Step-by-step explanation: got it right

Answer:

$2664.46

Step-by-step explanation:

2000(1+(0.032)/4)^(4*9)

1+0.008 = 1.008^36 = 1.33222983678... * 2000 = 2664.45967357...

≈ $2664.46

Answer:

x=-6

Step-by-step explanation:

−5x+10=40

−5x+10−10=40−10

−5x=30

−5x/5=30/5

x=−6

Answer:

15

Step-by-step explanation:

the answer is 15. 12×15=180

Answer:

The solution is [tex]x = 0.83[/tex]

Step-by-step explanation:

We are given the following equation:

[tex]e^{3x} = 12[/tex]

To isolate x, we apply ln, which is the inverse of the exponential. So

[tex]\ln{e^{3x}} = \ln{12}[/tex]

[tex]3x = \ln{12}[/tex]

[tex]x = \frac{\ln{12}}{3}[/tex]

Using a calculator:

[tex]x = 0.83[/tex]

The solution is [tex]x = 0.83[/tex]

Answer:

0.5

Step-by-step explanation:

so the slope is also known as the gradient in y=mx+c

Answer:

C.

Step-by-step explanation:

The median is the line in the middle of the box plot.

C is the answer because 75 is the largest median out of all the choices.

Answer:

8100

Step-by-step explanation:

8100/12=675

8100/18=450

8100/30=270

Answer:

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 10 colors: 3 different blues and 7 different greens. The family decides to just randomly select a color from these. What is the probability they will pick a shade of blue? Choose the answer in percent form. Question 3 options: 50% 100% 70% 30%

First, we need to convert the probability of picking a blue shade into a fraction.

= 3/10

Since this is by 10, we need to times 0.3 (numerator) by 10 (the number of outcomes) Whatever you do to the numerator, you do to the denominator. This means that you also times 10 by 10

This gives you 30/100

Since a percentage is out of 100, you don't need to change anything, just take away the 100 and put a percentage sign.

=30%

Answer: It is 30%, and i got proof right here.

Step-by-step explanation:   I got AN (A) on my test so give the first person all those great rating he needs.

Answer:

it would be the last one i meant

Step-by-step explanation:

He sold 28 at 0.75 cents and sold 21 at 0.99 cents.

0.85 is between 0.75 and 0.99 so he sells between 21 and 28 donuts.

0.85 is closer to 0.75 ,so the number should be closer to28.

The answer should be b)25

Answer:

TRUE

Step-by-step explanation:

If that's not the answer you wanted just comment if you need help

Answer:

15.1

Step-by-step explanation:

Rounding equation up to the nearest hundred dollars, the car's value 19 years later will be around $2,500.

In mathematics, an equation is a statement stating the equality or two expressions. An equation consists of two sides split by an algebraic equation (=). For illustration, the argument "2x + 3 = 9" argues that the statement "2x + 3" is equal to the value "9".

Given that new car is purchased for $18,000 and over time its value depreciates by one half every 3.5 years Because the car depreciates by half every six years, the car's value after t years is provided by:

To determine the worth of the car 19 years after purchase, we have to analyse V(19):

y = 2000

y = a(1/2) ^t/h

q = 18000

h= 3.5

t=19

Therefore,

y = 18,000

y=2,500.52211582

y≈2,500

Thus the car's value 19 years later is around $2,500.

To know more about equation visit:

brainly.com/question/649785

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Answer:

2.7

Step-by-step explanation:

the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.  

Answer:

Vertical

Step-by-step explanation:

Answer:

∠1 and ∠3 = vertical

Step-by-step explanation:

vertically opposite angles are equal

Answer: 3rd one

Step-by-step explanation:

y=x-5

Thatll be one brainliest

Answer:

-11.

Step-by-step explanation:

f(x) = √(3 - 2x),   x ≤ 3/2

let y = √(3 - 2x)

y^2 = 3 - 2x

2x = 3 - y^2

x = (3 - y^2)/2

So f-1(x) = (3 - x^2)/2  

f-1(x) = (3 - 5^2) / 2 = -11.

Answer:

.....................

Step-by-step explanation:

As an economic indicator. The CPI is the most widely used measure of inflation and is sometimes viewed as an indicator of the effectiveness of government economic policy.

Answer:

y=3

Step-by-step explanation:

12-3(3)<6

12-9<6

3<6

This makes the expression true so y=3

Answer:

y > 2

Step-by-step explanation:

isolate the y:

=> -3y < 6 -12

=> -3y < -6

=> y > 2

       ↑ have to change the inequality sign when divide/multiply by a negative number

Answer:

30 cm^2

Step-by-step explanation:

the triangle is 36

the rectangle is 6

36-6=30