Which of the following statements is true?

a.The ratio of two integers is an irrational number.

b.An irrational number is a non-terminating, non-repeating decimal.

c.A perfect square is an irrational number.

d.Rational numbers are always positive.
IF IT WRONG NO MARK

Answer:

50 = blank

Step-by-step explanation:

Step 1:  Cross multiply

5/10 = ?/100

5*100 = 10?

500 / 10 = 10? / 10

50 = ?

Answer:  50 = blank

Final answer:

To calculate the population after 5 years at a 2% growth rate, you apply the formula for exponential growth, resulting in an estimated population of 5512 to the nearest whole number.

Explanation:

To calculate the population of a town after 5 years with a 2% annual growth rate, you would use the formula for exponential growth. In this case, the initial population is 5000 and the growth rate is 0.02 (2%). The population after n years is given by the formula P(n) = P(0) × (1 + r)ⁿ, where:

After 5 years, the formula will look like this:

P(5) = 5000 × (1 + 0.02)⁵

Calculating the above:

To the nearest whole number, the population of the town after 5 years will be 5512.

Answer: 2-1 / y times y/ 3+1

Step-by-step explanation:

In dividing fractions, it is possible to change the sign to multiplication sign by swapping positions of the numerator and denominator.

For example given,

a/b divided by c/d,

We can write this as

a/b times d/c

To simplify the given complex fraction [tex]\(\frac{{2 - \frac{1}{y}}}{{3 + \frac{1}{y}}}\),[/tex]we'll first rationalize the fractions in the numerator and denominator.

For the numerator:

[tex]\[2 - \frac{1}{y} = \frac{2y}{y} - \frac{1}{y} = \frac{2y - 1}{y}\][/tex]

For the denominator:

[tex]\[3 + \frac{1}{y} = \frac{3y}{y} + \frac{1}{y} = \frac{3y + 1}{y}\][/tex]

So, the original complex fraction becomes:

[tex]\[\frac{\frac{2y - 1}{y}}{\frac{3y + 1}{y}} = \frac{2y - 1}{3y + 1}\][/tex]

Therefore, the equivalent expression to the given complex fraction is option d. (2y-1)(3y+1).

Answer:

it's a base of 18 hope it works

Answer:80 pie

Step-by-step explanation:

Answer:

  TRUE

Step-by-step explanation:

If this is a True/False question, the answer is True.

__

One of the ways to define triangle similarity is by the ratios of the sides. If the ratios of corresponding sides are the same, the triangles are similar.

Another way to define triangle similarity is by the angle measures. If corresponding angles are congruent, the triangles are similar.

Both conditions will be met by similar triangles.

Answer:

24

Step-by-step explanation:

24 cubes. Reasoning varies. Sample reasoning: The length of the box

can fit or 5/4 : 5/12 =3 cubes. The width of the box can fit or 5/3 : 5/12 = 4 cubes.  The height of the box can fit 5/6 : 5/12 = 2 cubes. The box can fit

or 24 cubes.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Length of the box = 5/6 ft

Width of the box = 5/4 ft

Height of the box = 5/3 ft

Sides of the cube salt lick = 5/12 ft

Number of salt lick in the box (length) = 5/6 ÷ 5/12

= 2 cubes.

Number of salt lick in the box (width) = 5/4 ÷ 5/12

= 3 cubes.

Number of salt lick in the box (length) = 5/3 ÷ 5/12

= 4 cubes.

Total number of salt lick = 4 × 3 × 2

= 24 cubes.

Answer:

K = 4

Step-by-step explanation:

If y varies directly as x

y = k x

Divide both sides by by x

K = y/x

When y = 32 and

x = 8

K = 32/8

K = 4

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you forgot to write the relation so I could help you providing my own relation.

Remember that for any relation, we have a set [tex]A[/tex] that matches the the domain (also called the set of inputs) of the function and the set [tex]B[/tex] that contains the range (also called the set of outputs).

Suppose our relation is:

[tex]y=-10+x \\ \\ For \ x=1,2,3,4,5[/tex]

So the x-values represents the set A and the y-values the set B. Therefore, by evaluating the x-values into our relation we get:

[tex]\text{If x=1} \\ \\ y=-10+1=-9 \\ \\ \\ \text{If x=2} \\ \\ y=-10+2=-8 \\ \\ \\ \text{If x=3} \\ \\ y=-10+3=-7 \\ \\ \\ \text{If x=4} \\ \\ y=-10+4=-6 \\ \\ \\ \text{If x=5} \\ \\ y=-10+5=-5[/tex]

So in this context, the correct option is:

B) (-9,-8, -7, -6, -5}

Answer:

the answer is b

Step-by-step explanation:

i took the test

Answer:

[tex]\$487.48[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ A=\$1,000\\ r=7.25\%=7.25/100=0.0725\\n=4[/tex]  

substitute in the formula above

[tex]1,000=P(1+\frac{0.0725}{4})^{4*10}[/tex]  

[tex]1,000=P(\frac{4.0725}{4})^{40}[/tex]

[tex]P=1,000/(\frac{4.0725}{4})^{40}[/tex]

[tex]P=\$487.48[/tex]

Answer:

c=8+15h

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]3\frac{1}{4}+2\frac{1}{6}=3+2+\frac{1}{4}+\frac{1}{6}\\\\=5+\frac{1}{4}+\frac{1}{6}\\\\LCM(4,6)=12\\\\\frac{1*3}{4*3}=\frac{3}{12}\\\\\frac{1*2}{6*2}=\frac{2}{12}\\\\5+\frac{1}{4}+\frac{1}{6}=5+\frac{3}{12}+\frac{2}{12}\\\\=5+\frac{3+2}{12}=5+\frac{5}{12}\\\\=5\frac{5}{12}[/tex]

Answer:

[tex]5\frac{5}{12}[/tex]

Step-by-step explanation:

Simplify the expression

Exact form: [tex]\frac{65}{12}[/tex]

Decimal Form: 5.416 (The six has a line on top indicating that it goes one forever basically)

Mixed Number form: [tex]5\frac{5}{12}[/tex]

Hopefully this helps

Also Give me your heart ;)

Explanation:

Answer:

Everything except lawn care.

Answer:

bruh bruh bruh bruh bruh

Step-by-step explanation:

cringe

Answer:9

Step-by-step explanation:

multiply the 5.4 by 10 and the 0.6 by ten, then divide the 54 by 6

You get 9, then multiply that by 0.6, and you get 5.4

you multiply because the statement includes "of" which means multiplication

Answer:

that's easy just with your number line put then to least to greatest

Answer:

-(a-8)*(a+10)

Step-by-step explanation:

Answer:

See Step-by-step explanation

Step-by-step explanation:

[tex]y=mx+b\\y-b=mx\\x=\frac{y-b}{m}[/tex]

Answer:

0.01

Step-by-step explanation:

1/100=0.01

Answer: 0.01

Step-by-step explanation:

Answer:

its The first one  

Step-by-step explanation:

Ok so to do an average, you add all number together (48) then you Divide by the number of items added (4 games) then it's the first one. Hope this helps, sorry if someone then answer it.  

Answer:

A

Step-by-step explanation:

I took the test

Answer:

=2x^3+5x+2

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

x/5=6/3

3x=30

x=10

Answer:

x=10

Step-by-step explanation:

x*1/5 = 6/3

Simplify 6/3 =2

1/5x = 2

Multiply each side by 5

1/5x *5 = 2*5

x = 10

Answer:whats the expression

Step-by-step explanation:

Answer:

a) y = 50x + 0

b) y = 35x + 300

Step-by-step explanation:

a) The price is $50 (per person), so you multiply 50 by the number of people going (which is x).

b) The price is $35 dollars (per person), so you multiply 35 by the number of people (which again would be x). There is also an extra cost of $300.

Hope this helps! :)

Answer:

4

Step-by-step explanation:

10= 6 + 4

Carry over the 6 to the 10 and make e the subject on the right hand side of the equation as shown below:

10 - 6 = e

4= e

Therefore e is 4.

Answer:

e = 4

Step-by-step explanation:

Check the answer by subtraction.

10 - 6 = 4

Or use fact families to check the answer

6 + 4 = 10

4 + 6 = 10

10 - 6 = 4

10 - 4 = 6

Answer:

B

Step-by-step explanation:

This is very simple if we understand a point of linear and exponential functions.

First of all, a linear growing function increases.

An exponential growing function increases as well.

But, linear function, no matter what the slope is, grows at a CONSTANT RATE. But,

Exponential function grows at a COMPOUND RATE.

So, if there are 2 functions, linear and exponential, the exponential will always exceed the linear, AT SOME POINT EVENTUALLY because of the growth factor (no matter growth factor of linear and exponential -- whatever they are).

So,

B is the correct answer.

Growth factor of each (both) doesn't matter. Exponential will always win!

Answer:

b

Step-by-step explanation:

The exponential function will always exceed the linear function.A quantity increasing exponentially eventually exceeds a quantity increasing linearly.

Step-by-step explanation:

dy/dt = (A − Be^(-t/5)) y

(a) Find the general solution by separating the variables and integrating.

dy / y = (A − Be^(-t/5)) dt

dy / y = [A + 5B (-⅕ e^(-t/5))] dt

ln |y| = At + 5B e^(-t/5) + C

y = e^(At + 5B e^(-t/5) + C)

y = Ce^(At + 5B e^(-t/5))

(b) As t approaches infinity, dy/dt approaches Ay.  The rate of growth, A, is triple the initial rate of growth 0.02, so A = 0.06.

When t = 0, dy/dt = (A − B)y.  The rate of growth, A−B, is 0.02.  We know A = 0.06, so B = 0.04.

(c) Given that A = 0.06, B = 0.04, and y(0) = 50×10⁶ − 10×10⁶ = 40×10⁶:

40×10⁶ = Ce^(0.06(0) + 5(0.04) e^(-0/5))

40×10⁶ = Ce^(0.2)

C = 40×10⁶ e^(-0.2)

y = 40×10⁶ e^(-0.2) e^(0.06t + 0.2 e^(-t/5))

y = 40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5))

(d) If A = 0.02 and B = 0, and there is no transformation (y(0) = 50×10⁶), then:

50×10⁶ = Ce^(0.02(0) + 0)

50×10⁶ = C

y = 50×10⁶ e^(0.02t)

Comparing to the answer from part (c):

40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5)) = 50×10⁶ e^(0.02t)

e^(-0.2 + 0.04t + 0.2 e^(-t/5)) = 5/4

-0.2 + 0.04t + 0.2 e^(-t/5) = ln(5/4)

-5 + t + 5e^(-t/5) = 25 ln(5/4)

t + 5e^(-t/5) = 5 + 25 ln(5/4)

Solve with a calculator:

t = 9.886

The transformed economy surpasses the untransformed economy in the 10th year.

(e) In year t=5, the size of the transformed economy is:

y = 40×10⁶ e^(-0.2 + 0.06(5) + 0.2 e^(-5/5))

y = 47.6×10⁶

The percent growth is:

(47.6×10⁶ − 40×10⁶) / 40×10⁶ × 100% = 19%

The growth rate is greater than 4%, so the current government can expect to be reelected.

Answer:

9 months

Step-by-step explanation:200+30m=470

30m=270

m=9

He will pay for 9 months

Yoryi will make payments for 9 months.

To determine the number of months (m) Yoryi needs to make payments, we can solve the equation 200 + 30m = 470. Here's how:

Therefore, Yoryi will make payments for 9 months.

Answer: 1.3 meters taller. so 103 cm.

Step-by-step explanation:

Answer:

103cm

Step-by-step explanation:

From the question given, we obtained the following data:

Height of the boy = 97cm

Height of the elder brother = 2m

First let us convert the height of the elder brother to cm. This is illustrated below:

1m = 100cm

2m = 2 x 100 = 200cm

So, the elder brother is 200cm tall. To know how much taller the elder brother is than the boy, subtract the height of the boy from that of the elder bother' as shown below:

200 — 97 = 103cm

Therefore, the elder brother is 103cm taller than the boy