Find the first three terms of the sequence given by the following.
a
n = 25-3(n − 1), n= 1, 2, 3, ...

A. 28, 25, 22
B. 25, 22, 19
C. 25, 28, 31
D. 28, 31, 34

Answer:

The number is n-0.75

Step-by-step explanation:

Here in this question, we are interested in giving a number which is 75% of 1 less than a number n.

The first thing we do here is to calculate the value of 75% of 1.

That would be;

75/100 * 1 = 0.75

So this value less than n will be;

n- 0.75

Answer:

heyy matee...

going according to given parameters

let 2 numbers be x and y

so atq =>

3x + y = 142 => y = 142 - 3x

and 4x - y = 148

4x - ( 142 - 3x ) = 138

4x - 142 + 3x = 138

7x = 280

x = 40

now y = 142 - 3(40) = 142 - 120 = 22

so x = 40 and y = 22

Answer:

Hope so, it helped you.

Step-by-step explanation:

For solving the equation i elimanated y by adding both the equation.

Answer:

The graph will shift 9 units to the right

Sorry about my hand writing

Answer: It moves 9 units to the right

Step-by-step explanation:

It moves 9 units to the right is because if it's inside parentheses it moves right/left instead of up/down. I also talked to my Algebra Teacher about it and got it right in the final test.

Answer:

3/4

Step-by-step explanation:

4/4-1/4=3/4

i hoped this helped :)

Answer:

3/4

Step-by-step explanation:

Answer:

f(x) = 5 * ( 8/5) ^x

Step-by-step explanation:

f(x) = a b^x

Let x = 0

5 = a * b^0

5 = a*1

a = 5

Let x = 1

8 = 5 * b^1

Divide each side by 5

8/5 = b

f(x) = 5 * ( 8/5) ^x

Step-by-step explanation:

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Today, improved emergency care for people with spinal cord injuries, antibiotics to treat infections, and aggressive rehabilitation can minimize damage to the nervous system and restore function to varying degrees. Advances in research are giving doctors and people living with SCI hope that spinal cord injuries will eventually be repairable. With new surgical techniques and developments in spinal nerve regeneration, cell replacement, neuroprotection, and neurorehabilitation, the future for spinal cord injury survivors looks brighter than ever.

Answer:

$0.56, or 56¢.

Step-by-step explanation:

According to the picture, there are two dimes, two nickels, a penny, and a quarter.

A penny is worth $0.01.

A nickel is worth $0.05.

A dime is worth $0.10.

A quarter is worth $0.25.

2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.

So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!

Hope this helps!

Answer:

  $562.75

Step-by-step explanation:

The future value formula is good for this.

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years.

Using your numbers, we find the account value to be ...

  FV = $500(1 +.06/2)^(2·2) = $500·1.03^4 ≈ $562.75

There will be $562.75 in the account after 2 years.

Answer:

1260 ounce of the fluid.

Step-by-step explanation:

Dimension of hallway = 90 feet × 7 feet

Area of the hallway = 90 × 7

                                  = 630 square feet

Given that 1/2 (0.5) of a fluid ounce is required per square foot, the amount of cleaning situation to clean the hallway can be determined as;

                 =  [tex]\frac{area of hallway}{cleaning situation per foot}[/tex]

                 = [tex]\frac{630}{0.5}[/tex]

                 = 1260 ounce

The amount of cleaning situation required to clean the hallway is 1260 ounce of the fluid.

Answer:

a: x=90 b: x=45 y=45 c: y=68 x=68

Answer:

96 km/h

Step-by-step explanation:

Speed of car = 87 km/h

Time = 20 minutes = [tex]\frac{20}{60} = \frac{1}{3}\ hrs[/tex]

Distance traveled by bus = 3 km more than that of traveled by car

To find

Average speed of bus = ?

Solution:

Formula for distance traveled is given as:

[tex]Distance = Speed \times Time[/tex]

So, distance traveled by car in 20 minutes = 87 [tex]\times \frac{1}3[/tex] = 29 km

As per given statement, distance traveled by bus = 29 + 3 = 32 km

Time taken = [tex]\frac{1}{3}\ hrs[/tex]

Using the formula:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Speed of the bus =

[tex]\frac{32}{\frac{1}3} = \bold{96\ km/h}[/tex]

Answer:

x=42

Step-by-step explanation:

Answer:

Step-by-step explanation:

A=a(r)^t

a=1

time=2.5 hours=25/10 ×60=150 minutes

10t=150

t=150/10=15

[tex]A=1(2)^{15}=32,768[/tex]

—3/2 X + Y = —7/2

This is the standard form

Answer

1 + 5 ÷ 5

This would equal 2, using BIDMAS.

Answer:

0.86, 8.14

Step-by-step explanation:

Answer:

48 girls tried out for the team.

Step-by-step explanation:

The phrase "2 out of every 9" can be written as the fraction 2/9. To find our answer, all we have to do is 2/9 * 216 = 48 girls.

Answer:

True

Step-by-step explanation:

For one-to-one function, we have for all x₁ and x₂, where x₁ ≠ x₂, then, f(x₁) ≠ f(x₂)

Which gives;

f

Where f(x₁) = y₁, the result of the inverse of the f⁻¹(y₁) = x₁

By definition the inverse of a one-to-one function, f⁻¹ is a distinctive function whose domain is given by f⁻¹(f⁻¹(x)) = x for the values of x in f

Therefore, for one-to-one functions, f⁻¹(f⁻¹(x₁)) = x₁

Where f⁻¹(x₁) = y₁, is the inverse or reverse of a function f(x₁), therefore, we have;

f⁻¹(y₁) = x₁

Which proves the statement that y = f(x) then x= f⁻¹(y).

If Forces are acting on opposite direction

[tex]\\ \rm\hookrightarrow F_{net}=F_2-F_1[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=10-6[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=4N[/tex]

If both acting on same direction

[tex]\\ \rm\hookrightarrow F_{net}=F_1+F_2[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=10+6[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=16N[/tex]

Hence

[tex]\boxed{\sf 4N\leqslant F_{net}\leqslant 16N}[/tex]

Answer:

12,157,665,459,057,000,000

Step-by-step explanation:

It seems like it would have to involve exponents.  3 to the 40th power would be 12,157,665,459,057,000,000.  

Answer:

3

Step-by-step explanation:

Add up the exponents of the variables

5xyz​ = 1+1+1 = 3

The degree is 3

Answer:

First, just to recap, a  degree of a polynomial is the highest power that it is raised to.

For example, 2x^4 + 3x - 7, is a 4th degree polynomial.

5xyz is a has a degree of 3, since the highest power that it is raised to is to the power of 1, and has 3 terms.

Let me know if this helps!

Fred's age is 13 years

Let

Fred's age = x

Jack's age = 2x + 4

After 8 years:

= 2x + 12

Sum of their ages = Fred's age + Jack's age

59 = (x + 8) + (2x + 12)

59 = x + 8 + 2x + 12

59 = 3x + 20

59 - 20 = 3x

39 = 3x

x = 39/3

x = 13 years

Therefore, Fred's age = 13 years

https://brainly.com/question/24371832

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Explanation:

We can prove this by contradiction.

Let's say

and

A+B = C

We'll show that a contradiction happens based on this.

If A is rational, then A = p/q where p,q are two integers. The q cannot be zero.

If C is rational, then C = r/s for some other integers. We can't have s be zero.

Note the following

A+B = C

B = C - A

B = r/s - p/q

B = qr/qs - ps/qs

B = (qr - ps)/qs

B = (some integer)/(some other integer)

This shows B is rational. But this is where the contradiction happens: We stated earlier that B was irrational. A number cannot be both rational and irrational at the same time. The very definition "irrational" literally means "not rational".

In short, I've shown that if A+B = C such that A,C are rational, then B must be rational as well.

The template is

rational + rational = rational

Therefore, we've shown that if A is rational and B is irrational, then C cannot possibly be rational. C is irrational.

Another template is

rational + irrational = irrational

Answer:

Step-by-step explanation:

We can find the answer by multiplying the number of donuts, 12, by the price he sells each donut for, $0.75, and subtracting that answer from the price he paid.

By making the equation 12 × 0.75 = $9 - $3.99 we can find out that he makes $5.01 in profit.

Answer:

Hey there!

The first equation has no solutions, as it is parallel lines.

The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.

The third equation is just one solution.

Let me know if this helps :)

Answer:

1 - No solution

2 - Infinitely many solutions

3 - One solution

Step-by-step explanation:

Hey there!

Well to find if there is no solution, one solution, or infinitely many we need to look at the slope and y intercept.

1) - No solution

This is no solution because both slopes are the same meaning they are parallel meaning they have no solution.

2) - Infinitely many solutions

We need to convert into slope-intercept.

y = -x + 4

y = -x + 4

Since both slopes and y-intercepts are the same they overlap meaning they have infinite solutions.

3) - One solution

Slope-intercept,

y = -3x + 11

y = -1/3x + 1/3

Because both slopes are y-intercepts are different they have only one solution.

Hope this helps :)

Answer:

(2, 0)

Step-by-step explanation:

2x - y = 4

5x + 2y = 10

Solve by elimination by multiplying the top equation by 2, so the y values will cancel out (-2y + 2y = 0)

4x - 2y = 8

5x + 2y = 10

Add them together and solve for x:

9x = 18

x = 2

Plug in 2 as x in one of the equations to find y:

2x - y = 4

2(2) - y = 4

4 - y = 4

-y = 0

y = 0

The solution is (2, 0)

Answer:

Glass A

Step-by-step explanation:

Volume = п r ² h

п = 3.14  aprox.

r = radius = diameter/2

h = tall

volume = 3.14 * (84/2)² * 175

volume = 3.14 * 42² * 175

volume = 3.14 * 1764 * 175

volume = 969318mm³

volume = 3.14 * (96/2)² * 125

volume = 3.14* 48² * 125

volume = 3.14 * 2304 * 125

volume = 904320mm³

Answer:

969318 > 904320

then:

Glass A holds more liquid

Answer:

9.

Step-by-step explanation:

45 / [8(5 - 4) - 3]

= 45 / (8 * 1 - 3)

= 45 / (8 - 3)

= 45 / 5

= 9.

Hope this helps!

Answer:

$1.80

Step-by-step explanation:

2/3x = 1.2

x = 1.2 / (2/3)

x = 1.2 * (3/2)

x = 1.80

Answer:

x = 3

y = -1

Step-by-step explanation:

Based on the fact that our have two variables and two equations, I'm going to assume you are trying to find the values of x and y.

For these two equations, let's first find the value of x using the equation elimination method.

We're going to eliminate the y variable by multiplying the first equation by 2 and then adding that new equation to the second equation.

7x - y = 22 ==> 14x - 2y = 44

4x + 2y + (14x - 2y) = 10 + (44)

18x + 0y = 54

x = 3

Now we plug the value of x back into one of the equations to find the value of y.

7x - y = 22

7(3) - y = 22

-y = 22 - 21

y = -1

So our values are as follows:

x = 3

y = -1

Cheers.