What is the sum of the series?

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.

Answer:

See Step-by-step explanation

Step-by-step explanation:

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

Explanation:

Answer:

Everything except lawn care.

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:

119

Step-by-step explanation:

Hope this helps! Brainliest is appreciated.

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:

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

Answer:

A

Step-by-step explanation:

y = log3(x) – 1

I don't know why but this is the correct answer.

[tex]y = \log_{3}x - 1[/tex] is the equation with real zeros corresponding to the x-intercepts of the graph.

According to the statement, we must find a function such that all values of [tex]x[/tex] so that [tex]y(x) = 0[/tex] and are the same of the graph. A quick approach consists in solving on each expression:

[tex]\log_{3}x-1 = 0[/tex]

[tex]\log_{3}x = 1[/tex]

[tex]x = 3[/tex]

[tex]3\cdot x - 3 = 0[/tex]

[tex]3\cdot x = 3[/tex]

[tex]x = 1[/tex]

[tex]-3\cdot (x-1) + 3 = 0[/tex]

[tex]-3\cdot x +6 = 0[/tex]

[tex]x = 2[/tex]

[tex]\log_{3}2x - 2 = 0[/tex]

[tex]\log_{3}2x = 2[/tex]

[tex]2\cdot x = 9[/tex]

[tex]x = \frac{9}{2}[/tex]

Hence, we conclude that [tex]y = \log_{3}x - 1[/tex] is the equation with real zeros corresponding to the x-intercepts of the graph. [tex]\blacksquare[/tex]

The graph is missing and all functions are poorly formatted. Correct statement is shown below:

Which equation has real zeros corresponding to the x-intercepts of the graph?

A. [tex]y = \log_{3} x - 1[/tex]

B. [tex]y = 3\cdot x -3[/tex]

C. [tex]y = -3\cdot (x-1) + 3[/tex]

D. [tex]y = \log_{3}2x -2[/tex]

To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/7302008

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: Below

Step-by-step explanation:

If you don't know Trigonometry, in a 30-60-90 triangle, the hypotenuse is always twice as long as the side opposite the 30° angle and the side opposite the 60° angle is √3 times as long as the side opposite the 30° angle.  

So, since the hypotenuse has length 12 cm,  

    side opposite 30° angle (shorter leg) = 6 cm

    side opposite 60° angle (longer leg) = 6√3 cm

The possible lengths of the legs are 6 and 6√3

The triangle is given as:

30-60-90 triangle

And we have:

Hypotenuse = 12 cm

A 30-60-90 triangle is a unique triangle with the following parameters

Opposite = Hypotenuse/2

Adjacent = Hypotenuse/2 * √3

So, we have:

Opposite = 12/2

Adjacent = 12/2 * √3

Opposite = 6

Adjacent = 6√3

Hence, the possible lengths of the legs are 6 and 6√3

Read more about right triangles at:

https://brainly.com/question/2437195

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:

c=8+15h

Step-by-step explanation:

Answer:

=2x^3+5x+2

Step-by-step explanation:

hope this helps

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 ;)

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:

  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:

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:

[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:

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

Step-by-step explanation:

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

We want to find the total capacity of the mug given that we know how much liquid there is in a 2/3 full mug.

We will find that the capacity of the mug is 1.25 cups.

We know that when the mug is 2/3 full, it has 5/6 cups.

Then if we define C as the total capacity of the mug, we can write:

(2/3)*C = 5/6 cups.

Now we can solve the above equation for C:

C = (3/2)*(5/6) cups = 1.25 cups.

The capacity of the mug is 1.25 cups.

If you want to learn more, you can read:

https://brainly.com/question/1859979

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:

50 = blank

Step-by-step explanation:

Step 1:  Cross multiply

5/10 = ?/100

5*100 = 10?

500 / 10 = 10? / 10

50 = ?

Answer:  50 = blank

Answer:1 5/12

Step-by-step explanation:

3 4/6 - 2 1/4

Change to improper fraction we have

22/6 - 9/4

(2x22-3x9)/12

(44-27)/12

17/12=1 5/12

Answer:

1 5/12

Step-by-step explanation:

3 4/6 - 2 1/4

3 2/3 - 2 1/4

11/3 - 9/4

Lcm is 12

(11×4 - 9×3)/12

(44 - 27)/12

17/12

1 5/12

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:

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: 4/52 or 1/13 (simplified)

Step-by-step explanation: There are 52 cards in a deck and 4 aces

Answer:

1/13

Step-by-step explanation:

There are 13 types of cards in a deck and there are 4 cards in each. So if you wanted to pull a ace or jack from the deck it would be 1/13